1803 articles trouvés pour ce sujet.
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Une sortie |
2011-08-26 |
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SANGES pose la question : un groupe d'amis souhaite organiser une sortie.
si chacun donnait 14 euros, il manquerait 4 euro.
Mais si chacun donnait 16 euros, il y aurait un excédent de 6 euro.
combien y a-t-il d'amis dans le groupe ? Claude Tardif lui répond. |
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une suite |
2010-07-01 |
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djodilune pose la question : Salut tout le monde ! J'ai un probleme de math dans un concours de Medecine , Le voilà :
n £ N* on a : S = 1/[n(n+1)] + 1/[(n+1)(n+2)] + ... + 1/([2n(2n+1)] .
reponse a : S= 1 - 1/n
Reponse b : S= 1 - 1/(2n)
Reponse C : S= 1 - 1/(n+1)
Reponse D : S= (1/n) - (1/2n )
Reponse E : S= (1/n) - [1/(2n-1)].
Si vous pouvez me donner le reponse avec justification pour comprendre bien. Merci d'avance Claude Tardif lui répond. |
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Résolution d'une équation |
2010-02-25 |
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sellin pose la question : Il faut que j'exprime x en fonction de m dans l'équation suivante et je n'y arrive pas:
-3x + 1 = (m-1) / 2 * x + (2m + 3) / 5 Claude Tardif lui répond. |
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Volume d'une sphere entre 4 autres spheres |
2010-01-18 |
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Bonfils pose la question : Bonjour,
Je souhaiterais en fait calculer le rayon de la sphère max qui pourrait s'insérer entre 4 sphères de rayon connu.
Merci par avance pour votre réponse.
Sincères salutations Chris Fisher lui répond. |
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Une piscine |
2009-11-04 |
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kemayou pose la question : Dans un de ces problèmes,ma fille se trouve face à cette question,et je ne parviens pas à l'aider,pourriez-vous nous donner un petit coup de pouce?
Voici l'énoncé:Un jardin a 22m de long et 8m de large.Au centre du jardin,on a fait construire une piscine dont le périmètre est de 44m.La surface restante est couverte de gazon.
La question est :exprimer en fonction de x la longueur de cette piscine.
Dans l'attente de votre réponse,recevez nos salutations distinguées.
Merci.Mme kemayou Claude Tardif lui répond. |
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Le volume d'une boule |
2009-10-22 |
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ve.lu.ch pose la question : Pour calculer le volume d'une boule, il faut utiliser la formule :
4/3 x Pi x R au cube
Pourquoi 4/3 ?
Merci d'avance Pierre-Louis Gagnon et Claude Tardif lui répond. |
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Un bénéfice de 5% |
2008-03-11 |
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mahiques pose la question : Un propriétaire decide de vendre deux parcelles de terrains pour un montant total de 141750 F. Il fait un bénéfice de 15% sur la première et une perte de 10% sur la deuxième. L'ensemble de la transaction lui a rapporté un bénéfice de 5%.combien a-t-il vendu chacune des parcelles ? Pierre-Louis Gagnon lui répond. |
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Combien y a t il d amis dans le groupe |
2008-02-25 |
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vaucher pose la question : un groupe d amis souhaite organiser une sortie si chacun donnait 14 € il manquerait 4 € mais si chacun donnait 16€ il y aurait un excedent de 6 € combien y a t il d amis dans le groupe Maxime Fortier Bourque lui répond. |
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moyenne statistique |
2008-02-16 |
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jossan pose la question : Annexe
nombre d'habitants |
Nombre d'agglomération |
centre de classe |
3 ; 3.5 |
11 |
3.25 |
3.5 ; 4 |
16 |
3.75 |
4 ; 4.5 |
7 |
4.25 |
4.5 ; 5 |
10 |
4.75 |
5 ; 6 |
12 |
5.5 |
6 ; 8 |
10 |
7 |
8 ; 10 |
9 |
9 |
10 ; 15 |
13 |
12.5 |
15 ; 20 |
6 |
17.5 |
20 ; 32 |
5 |
26 |
Total |
99 |
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question : compléter la deuxième et troisième colonne (c'est fait) puis en utilisant la valeur centrale des classes calculer le nombre moyen d'habitants . arrondir la valeur à l'unité. on peut utiliser uniquement les fonctions statistiques de la calculatrice et écrire directement la valeur de N Pierre-Louis Gagnon et Antoine Letarte lui répond. |
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Je voulais savoir d'où provient le signe # ?! |
2008-01-17 |
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Dimitri pose la question : Je voulais savoir d'où provient le signe # ?!
On l'appelle diez, sur les téléphones surtout, mais j'aimerai savoir plus précisément à quoi sert ce signe (autre que sur nos appareils) !
Et pourquoi, en anglais, s'il est placé avant un chiffre, on dit 'number' (par exemple #1, 'Number one').
Son origine m'interesse tout autant que son utilité ! Claude Tardif lui répond. |
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racine carre de 9 |
2008-01-01 |
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hichem pose la question : racine carre de 9 Claude Tardif lui répond. |
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A=B+C+D+F+G+H+J |
2007-11-27 |
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Boubendir pose la question : voila ma question et comme savoir les nombres additioné en etulisant le resultat
A=B+C+D+F+G+H+J
au debut ons a les B,C,D,F,G,H,J on connaissent leur valeur comment retrouver
valeur on etulisant leur resultat Claude Tardif lui répond. |
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Multiplier et soustraire des nombres négatifs |
2007-01-11 |
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Sylvie pose la question : Voici trois nombres entiers: (-5), (-3) et (-4). On retranche le troisieme au produit des deux premiers, ecris la situation et donne le resultat. Claude Tardif lui répond. |
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Origine du signe racine carré |
2006-11-30 |
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Kévin pose la question : Je suis simplement un élève de 3eme très curieux et j'aimerais savoir d'où vien le signe de la racine carré (l'espece de V) c'est une question toute bete mais ma prof de math ne peu me répondre le pouvez vous? Claude Tardif lui répond. |
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volume d'un cône |
2006-11-29 |
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Emmanuel pose la question : On peut diviser un cube en 3 pyramides et ainsi en déduire le volume d'une pyramide. Mais comment peut-on déduire le volume d'un cône de celui d'un cylindre? Comment visualise-t-on la division d'un cylindre en trois? Claude Tardif lui répond. |
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Taux à déterminer |
2006-11-01 |
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Barrault pose la question : Une certaine année,un article augmente d' un certain taux "t" au premier semestre puis d' un taux triple du premier au second semestre, sachant que l' augmenation globale sur l' année est 66.75%; uels sont les taux pour chacun des deux semestres de l' année? Claude Tardif lui répond. |
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l'explication de 1 - 1,1 exposant -5 |
2006-08-12 |
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Karin pose la question : Ma question est l'explication de 1 - 1,1 exposant -5 Claude Tardif lui répond. |
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Combien a t-il rapporté dans une journée ? |
2006-06-21 |
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Madame Moro pose la question : On lui donne un prix au km soit 1630 €/km, Marc a réalisé 211 m dans la journée, Combien a t-il rapporté dans une journée ?
Claude Tardif lui répond. |
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Volume d'un cône |
2006-04-24 |
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Christelle pose la question : Caroline décide de se servir de ses connaissances mathématiques pour "rouler" son petit frère: "Arthur, dit-elle, je te propose que nous mettions chaucun un euro dans l'achat d'un cône glacé. Je mangerai la première, jusqu'à mi-hauteur, et toi, tu auras la seconde moitié."
Combien la part de Caroline représenterai-elle par rapport à celle de son petit frère s'il acceptait ? Claude Tardif lui répond. |
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probleme sin cos |
2006-02-19 |
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Thibault pose la question : mon probleme commence par: f(x)=sinx (sinx+1)+ cos²x
donc en le dévellopant on trouve: f(x)= sin²x + sinx + cos²x
et apres ce que je ne comprend pas est que par la suite on trouve: f(x)= 1+sinx
qu'est-ce qui fait que l'on trouve ce resultat?? Claude Tardif lui répond. |
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exposant négatif |
2006-01-23 |
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Jean pose la question : je suis un grand-père qui veut aider sa petite fille :
niveau 4ème
3 exposant -2 =
-3 exposant -4 =
3 exposant -9 =
Je vous remercie de votre aide.
Corldialement.
Jean Claude Tardif lui répond. |
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Partages inégaux |
2005-09-29 |
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Un eleve pose la question : Alex et julie ont ensemble 4728 .- euro Si Alex donne 538.- euro à Julie, ce dernier aurait alors le triple de Julie. Quelle est la somme possédée de chacun? Claude Tardif lui répond. |
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Problème avec rapport point, prix... |
2005-09-08 |
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Nico pose la question :
Le prix d'un diamant est proportionnel au carré de son poinds. Un diamant de 0.45 g vaut 7500euros.
1. Combie coute un diamant de 0.693 g ?
2. Quel est le poids d'une diamant valant 45000 euros ?
Je vous demande pas de le raisoudre à ma place mais j'aimeré comprendre comment je peut calculé le rapport entre le point et le prix.
Claude Tardif lui répond. |
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Le prix d'un diamant est proportionnel au carré de son poinds |
2005-09-07 |
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Nico pose la question :
Le prix d'un diamant est proportionnel au carré de son poinds. Un diamant de 0.45 g vaut 7500euros.
1. Combie coute un diamant de 0.693 g ?
2. Quel est le poids d'une diamant valant 45000 euros ?
Je vous demande pas de le raisoudre à ma place mais j'aimeré comprendre comment je peut calculé le rapport entre le point et le prix.
Claude Tardif lui répond. |
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Exposant |
2005-09-06 |
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Enzo pose la question : Puis-je savoir combien donne 2 exposant 100 ?
et 9 exposant 3012 ? Claude Tardif lui répond. |
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le système RSA |
2005-02-19 |
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Un eleve pose la question : Je suis actuellement en classe préparatoire MP au lycée Henri Poincaré de Nancy et je souhaiterais obtenir des informations sur l'exponentiation modulaire car je réalise un TIPE sur la cryptographie et plus particulièrement le système RSA. pourriez-vous m'indiquez en quoi consiste l'exponentiation modulaire et comment cela fonctionne. Claude Tardif lui répond. |
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Un problème de math |
2004-09-10 |
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Sophie pose la question : (V est en fait le signe de la racine carrée)
(3 / V27) x ( V75 ) = ??? Claude Tardif lui répond. |
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La longueur d'une corde |
2003-01-22 |
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Un eleve pose la question : Existe-t-il une formule permettant de calculer la longueur d'une corde quelquonque d'un cercle connaissant uniquement le rayon de celui-ci? Si oui quelle est-elle? Claude Tardif lui répond. |
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Volume d'une calotte ellipsoidale |
2002-12-11 |
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Fabien pose la question : Quel est le volume d'une calotte d'ellipsoide de hauteur h (ellipse de longueurs d'axes a, b, et c)? Je souhaite une formule exacte, un développement limité, voire une intégrale à estimer numériquement. Quelle méthode pour le calculer ? Claude Tardif lui répond. |
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Un exposant negatif |
2002-11-25 |
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Vinny pose la question : Moi je n'ai aucune idée de ce que vaut un exposant negatif com 3^(-5) ou encore 3^(-4/3) de meme pour un exposant rationnel 3^(4/3) Claude Tardif lui répond. |
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Les unités linéaires |
2002-11-12 |
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Sandy pose la question : je me demande qu'est ce qu'une unité linéaire, mesures de surface et des mesures de volume. je voudrais aussi savoir quelle est la règle de transformation pour les unités linéaires, les mesures de surface et les mesures de volume Claude Tardif lui répond. |
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Comment fait on pour justifier que... |
2002-09-30 |
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Lucie pose la question : Comment fait on pour justifier que p au carré est égal à 2 fois q au carré? Claude Tardif lui répond. |
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Espaces vectoriels |
2002-08-18 |
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Bacar pose la question : Comment montrer que trois (ou plus que trois) sous espaces vectoriels sont en somme directe. Claude Tardif lui répond. |
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Ses points de discontinuités est les irrationnelles |
2002-01-08 |
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Un eleve pose la question : Je voudrait montrer qu'il n'existe pas de fonction de R--->R tels que ses points de discontinuités est les irrationnelles, en utilisant la methode de "baire". Claude Tardif lui répond. |
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Fraction rationnelle |
2001-12-11 |
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Audrey pose la question : réduire en une seule fraction et simplifier.
(4-2x+x2)/(2+x) - (x+2) Claude Tardif lui répond. |
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Minesweeper |
2001-10-24 |
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Un eleve pose la question : J'espere que vous pourrez m'aider. Est ce que vous connaissez un algorithme ou une strategie de resoulutiom pour le jeu du demineur (8x8 avec 10 mines)(Minesweeper). Claude Tardif lui répond. |
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preuve par 9 |
2001-04-04 |
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Michel pose la question : Pourriez-vous m'expliquer en détail comment fonctionne la preuve par 9 (pour une division et une multiplication). Je sais l'appliquer mais je ne sais pas pourquoi ça marche. Je ne retrouve pas la démonstration. Merci de m'aider. Exemple . 17x2=34 ; preuve par neuf : 1+7=8 ; 8x2= 16 ; 1+6=7 et 3+4=7, on peut donc supposer (sans affirmer) que cette multiplication a un résultat juste car la preuve par 9 est bonne, 7=7. Comment fonctionne cette preuve par 9??? Claude Tardif lui répond. |
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Recherhce sur pi et exponentielle |
2001-03-17 |
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Cyril pose la question : étudiant a la fac de sciences de montpellier je cherche des informations concernant la demonstration suivante: "comment prouver que pi et exponentielle sont irrationnels?" Claude Tardif lui répond. |
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racine carrée |
2000-11-24 |
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G. Bigorgne pose la question : Quel est donc l'origine de l'expression "racine carrée" ? Pourquoi avoir choisi cette expression ? Claude Tardif lui répond. |
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Exposant à la 0 |
2000-07-04 |
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Sylvie pose la question : J'aimerais savoir combien fait 0 exposant 0. Claude Tardif lui répond. |
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Combien y aura t il de 9 dans la réponse? |
2000-06-17 |
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Marie pose la question : J'ai lu une énigme mais je n'ai pas la réponse."si l'on divise 123 456 789 par 999 999 999, combien y aura t il de 9 dans la réponse?" Claude Tardif lui répond. |
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logarithme neperien |
1999-11-10 |
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Louise Kieffer pose la question : D'où provient la valeur e ( 2,7....) des logarithmes népériens ? Claude Tardif lui répond. |
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Le sang humain |
1998-10-06 |
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Golden pose la question : Le sang humain contient approximativement 2,5 x globules rouges. Chaque globule a un rayon de 0,004 mm. Si on le place ces globules bout a bout, quelle est la longeur de la chaine en millimetres? En kilometres? Compare toi avec la circonference de la terre (24 000 km) (Travail avec exposants) Claude Tradif lui répond. |
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A pattern for a truncated cone |
2013-12-20 |
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Josh pose la question : I need to know how to layout a truncated cone with a base diameter of 18" a top
Diameter 15.25 and a height of 20". Your help will be greatly appreciated. Penny Nom with a spreadsheet by Don lui répond. |
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Solving a cone |
2008-01-29 |
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Marija pose la question : [Note: this problem shows how to solve anything about a cone if you are given two measurements.]
Is there a formula for finding the diameter of the base of the cone? Stephen La Rocque lui répond. |
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Pattern for a truncated cone |
2007-05-11 |
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Mike pose la question : I have been trying to get this cone flat so I can build this column. Can you please help me so I can figure this out? Thanks for your help. Stephen La Rocque lui répond. |
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The length of a line at 45 degrees |
2022-04-09 |
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Aiden pose la question : Let's say one line is diagonal and one line is vertical.
If they eventually meet at a 45 Degree angle,
How long will the diagonal line be compared to the vertical line?
(For Example: If The Vertical Line is Exactly 1 Inch. penny Nom lui répond. |
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The next rational number |
2022-01-14 |
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Sophia pose la question : what comes after 3 1/2? Penny Nom lui répond. |
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A graph with 100 vertices and one edge |
2022-01-11 |
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Maftuna pose la question : A graph has 100 vertices and only one edge. How many connected components does it
have? Penny Nom lui répond. |
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New pool liner |
2021-07-14 |
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Kareena pose la question : I have a rectangular prism shaped pond that are 4ft by 8ft by 2ft. My pond is
lined on the sides and bottom with a pool liner so that it doesn't leak (the top
of the pool does NOT have a liner). I am redoing my pool and would like to
increase the size of the pond. Each dimension will increase by the same amount,
and the size of the pool liner will double. How much I am increasing each
dimension of the pond? Give an exact answer and than an approx. answer rounded to
the nearest tenth. Penny Nom lui répond. |
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UFO speed in MPH from nearest galaxy in one year |
2021-05-22 |
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Joe pose la question : If the next closest galaxy is 15 quadrillion miles away and there are 8760 hours
in one year; how fast would a UFO have to fly to travel from the next
galaxy, in MPH in one year ?
Google calculator gives this result: 1.7123288e+12
I don't understand what the "e+12" means.
How is that pronounced, ex. trillion, quadrillion etc..?
Harley lui répond. |
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The height of a cone |
2021-05-13 |
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Carmen pose la question : If a cone has a slant height of 25 inches and a radius of 7 inches what is the
height in inches of the cone? Harley Weston lui répond. |
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A scenario for a linear equation |
2021-01-19 |
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raven pose la question : I have to create a scenario for the following equation y=-1x+45
and then find what each part of the equation represents Penny Nom lui répond. |
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10^1,000,000 |
2020-12-18 |
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G pose la question : Looking for the name of a really big number.
its a 1. with a Million zeroes after it. Harley Weston lui répond. |
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0^(a+bi) |
2020-12-03 |
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Douglas pose la question : I realize raising 0^a = 0 if a>0 and undefined if a<=0.
If have read that 0^bi is undefined for all b.
What I don't understand is why 0^(a+bi) = 0 if a and b are not equal to zero.
Is this purely by definition or is there a logical reason why this is the case?
(I have taken Complex Analysis, so have a fairly good understanding of complex numbers.) Penny Nom lui répond. |
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Two equations with fractions |
2020-10-22 |
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mia pose la question : I am supposed to look for x and y. my teacher didn't explain very well. please help : ((
2x - y = 5
x/4 + y/3= 2 Penny Nom lui répond. |
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Solving an inequality |
2020-10-18 |
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nunya pose la question : 3(4 + 2n) > 2n - 16 Penny Nom lui répond. |
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Simultaneous equations |
2020-09-05 |
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Paa pose la question : a+b=8
a+c=13
b+d=8
c-d=6
find the value of each letter Penny Nom lui répond. |
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Filling holes with stone dust |
2020-07-30 |
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Zach pose la question : I’m looking for amount of stone dust needed for thirteen holes with
a 3ft depth and 12in diameter with a 4x4 post. I would need the
measurement in KG. Harley Weston lui répond. |
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A word problem involving linear equations |
2020-06-22 |
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Allie pose la question : The length of a rectangular swimming pool is p m and its width is q m. Its given tht the length of the swimming pool is twice its with. if the perimeter of the swimming pool is 150 m, find the values of p and q
this is in the chapter linear equations Penny Nom lui répond. |
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The substitution method |
2020-06-10 |
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Hardebolar pose la question : simultaneous equation by substitution method
.a-b=2/3 a+b=1 2/3 p lui répond. |
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A triangular garden |
2020-05-24 |
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yoonji pose la question : the 3 sides of a triangular garden measure 200 ft., 250 ft., and 300 ft., respectively. the garden is to be divided by a line bisecting the longest side and drawn from the opposite vertex. what is the length of the bisecting line? Penny Nom lui répond. |
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A sand castle in the shape of a truncated cone |
2020-05-23 |
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Summer pose la question : A sand castle is in the shape of a truncated cone as shown. Calculate the length of the diameter of the base.
The diameter of the top of the truncated cone is 20cm
The height is 30cm
The slopes are 32cm Penny Nom lui répond. |
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Maximizing the volume of a cone |
2020-05-18 |
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Ella pose la question : Hello, this is question - 'If you take a circle with a radius of 42cm and cut a sector from it,
the remaining shape can be curled around to form a cone. Find the sector
angle that produces the maximum volume for the cone made from your circle.' Penny Nom lui répond. |
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An angle i a triangle |
2020-05-16 |
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Ogunjobi pose la question : Two goal post are 8m apart a footballer is 34 m from one post and 38m from the other within what angle must he kick the ball if he is to score Penny Nom lui répond. |
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The volume of a stone |
2020-05-02 |
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KHOSI pose la question : A rectangular container is 9cm wide,17cm long and contains water to a depth of 11cm. A stone is placed in the water and the water rises 2,2cm .Find the volume of the stone Penny Nom lui répond. |
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The volume under an an uneven surface |
2020-05-01 |
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Solon pose la question : I am trying to fill an area of floor which has an uneven surface. I need to know the volume of fill.
If you imagine a rectangular room (4 corners) that measures 189 inches by 240 inches and the depth at each corner is different.
Let us say corner #1 has a depth of 1", corner #2 has a depth of 0", corner #3 has a depth of 2" and corner #4 has a depth of 4".
How would i find the volume of said floor area?
Any assistance would be greatly appreciated! Harley Weston lui répond. |
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A system of equations. |
2020-04-27 |
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solomon pose la question : xy + x =28
x + y +4 Penny Nom lui répond. |
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Power notation |
2020-04-26 |
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Aditi pose la question : The power notation of -1 / 128 Penny Nom lui répond. |
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The missing diameter of a truncated cone |
2020-04-17 |
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Brandon pose la question : Need a formula to find missing large Dia of a truncated cone where the small dia =.19" Height= 2" and taper =16deg Harley Weston lui répond. |
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A rectangular garde |
2020-04-10 |
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Denise pose la question : In a rectangular garden a person says "if I made that bed 2 feet wider and 3 feet longer it
Would have been 64 sq,ft bigger. But if it had been 3 feet wider and two feet longer
It would have been 68 sq.ft bigger.
What is the length and width of the garden bed? Penny Nom lui répond. |
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Setting up a linear equation |
2020-04-10 |
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Jessie pose la question : Michaela and Aleah play on the same basketball team. In one game, Michaela scored
one fifth of the teams points and Aleah scored one tenth of the teams points. Together,
they scored a total of 42 points. How many points did the team score?
I can't figure out how to put together the equation with the given variables. I have to show the work and I also need to know how to make
that kind of equation. Thanks! Penny Nom lui répond. |
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A linear system |
2020-04-02 |
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Dadzie pose la question : x+s=8→1
y+x=13→2
y-p=6→3
s+p=8→4 Penny Nom lui répond. |
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Six-digit telephone numbers |
2020-03-12 |
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Lulamile pose la question : What is the probability that a six-digit telephone number has no repeated digits? The telephone number cannot begin with a zero Penny Nom lui répond. |
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A straight line graph |
2020-02-26 |
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Penehafo pose la question : I have a problem of drawing a straight line graph by the equation y=2x-1 Penny Nom lui répond. |
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A system of inequalities |
2020-02-01 |
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Isaac pose la question : Austin has x nickels and y dimes, having a maximum of 15 coins worth a minimum of $1 combined. No more than 4 of the coins are nickels and no less than 11 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution. Penny Nom lui répond. |
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A point on a line |
2020-01-25 |
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Samved pose la question : The line 3x/5 - 2y/3 + 1 = 0 contains the point (m, 2m-1). Calculate the value of 'm'. Penny Nom lui répond. |
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The volume of a coffee cup |
2020-01-25 |
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Amirah pose la question : What is the volume of a polystyrene cup with a height of 8cm, diameter of 5cm at the top and 4cm at the bottom when it is filled with water? Penny Nom lui répond. |
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The equation of a line |
2020-01-05 |
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coco pose la question : Good afternoon
If relationship between total cost and the number of units made it linear ,and if costs increases by 7$ for each additional unit made ,and if the total cost of 10 units is 180$ .
Find the equation of the relationship b/n total cost (Y) & number of unit made (x). Penny Nom lui répond. |
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A circle, a point, and a tangent line |
2019-12-31 |
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Faisal pose la question : A circle has radius 10 units and passes through the point (5,-16). The x-axis is a tangent to the circle. Find the possible equations of circle? Penny Nom lui répond. |
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81^5 as a power of 3 |
2019-12-29 |
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NA pose la question : How do we turn 81^5 into the power of 3? Harley Weston lui répond. |
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Volume of a tree |
2019-12-19 |
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Maria pose la question : I have trees for sale. I need to calculate the volume of a tree from base which is wider than the stem.The base will be used for the making of hurleys, similar to hockey sticks so the wider base is crucial. Penny Nom lui répond. |
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The equation of a line |
2019-12-10 |
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Jourdan pose la question : Suppose a mining company will supply 96000 tons of ore per month if the price is 80 dollars per ton but will supply 70500 tons per month if the price is 20 dollars per ton. Assuming the supply function is of the form y = m x + b , find the slope, m and y-intercept, b Penny Nom lui répond. |
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Roll two dice and record the difference |
2019-12-09 |
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Barbara pose la question : Suppose you roll two dice 100 times. Each time you record their difference
(always subtracting the smaller one from the bigger one to get a positive
difference). The possible values you get are 0,1,2,3,4 and 5. You record
the frequency of each value in the following table:
Difference of two dice 0 1 2 3 4 5
Observed frequency 12 31 26 13 10 8
Let your null hypothesis be that the dice are fair, and the alternative
hypothesis be that they are not fair. Using a confidence level of α = 0.10,
test the null hypothesis by a goodness-of-fit test.
Hint: begin by
completing table:
x 0 1 2 3 4 5
f(x) Penny Nom lui répond. |
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Simultaneous equations |
2019-10-16 |
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deepak pose la question : This is too complicated please help me
8/x - 10/y = 1 and x+y=9 Penny Nom lui répond. |
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Fractions and negative powers |
2019-09-22 |
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Will pose la question : -2/3 to the -6 power Penny Nom lui répond. |
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A one foot rise in water level |
2019-09-15 |
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Stuart pose la question : If a lake were to rise one foot - how many linear feet would it spread onto the shore line ?
What is the correlation - 1 foot of a rise = 10 feet onto the shore ? Does it depend on the lake
size - if so Lake Ontario in Canada. Penny Nom lui répond. |
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Vectors |
2019-09-06 |
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Kayla pose la question : Hi!
Due to time constraint issues, we skipped vectors in Pre-Calc last year. However, I'm attempting to complete my AP Physics summer homework and there are 3 problems with vectors. As I explained, I have no idea even where to begin and as such I need some help.
Problem 1:
A plane flying at 90° at 45 m/s is blown toward 0° at 62 m/s by a strong wind. Find the plane's resultant velocity.
I have tried all sorts of online calculators but none are providing me with a formula I can use to solve this problem on my own.
Problem 2:
If you walk 367 m North and 785 m West what is your total displacement from your original location?
What is the problem asking for when it says displacement?
Problem 3:
A plane travels on a heading of 127.0° at a velocity of 25 km/hr. What are the horizontal and vertical components of the plane's velocity?
As you know already, I have never done vectors so I don't know what horizontal and vertical components of velocity are.
Thank you So Much for your help!! I am struggling!!
- Kayla Penny Nom lui répond. |
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Using the Laws of Exponents |
2019-09-06 |
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Samiya pose la question : i have been struggling with the laws of exponents so im having trouble with this question. the
question is to write (b*exponent2*c)(b*exponent5*c*exponent4*) Penny Nom lui répond. |
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A negative minus a negative |
2019-09-03 |
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Maggie pose la question : Why is a negative minus a negative a negative? Penny Nom lui répond. |
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Can one equation with two variables be solved algebraically? |
2019-08-30 |
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Don pose la question : Can one equation with two variables be solved algebraically? Penny Nom lui répond. |
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A flat top cone |
2019-08-25 |
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Mary pose la question : I want to make a paper model of a flat top cone with the radius of the base is 12.5 cm and the radius of the apex is 7 cm.The height is 15 cm and the radius of the apex is 5 cm. The height is 15 cm.
Can you help me with the angle and construction, please?
Thanks. Penny Nom lui répond. |
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A cone of maximum volume |
2019-08-14 |
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Refilwe pose la question : The slant height of a cone is 10cm. Determine the radius of the base so that the volume of the cone is a maximum Penny Nom lui répond. |
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The maximum volume of a cone |
2019-07-14 |
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A student pose la question : find the maximum volume of a cone if the sum of it height and volume is 10 cm. Penny Nom lui répond. |
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One part in 10^x |
2019-06-26 |
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Jim pose la question : What is the meaning of the phrase ‘one part in 10x” where the x is an exponent? I have seen these examples: “...better than one part in 10x” and “...to within one part in 10x.” Penny Nom lui répond. |
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The area of a patio |
2019-06-23 |
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Miguel pose la question : Stephanie has 60 feet of metal fencing material to only fence 3
sides of a rectangular patio. A tall metal wall serves as the fourth side
of the rectangle. write a function for the area the garden (A) in terms
of width in feet (x) What measures of the width would give an area of
at least 150 feet? Penny Nom lui répond. |
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What are the next three terms? |
2019-06-18 |
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Shriya pose la question : -6, -2 , 2, 6,10 what are the next three terms? Penny Nom lui répond. |
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Two power generators |
2019-06-07 |
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A student pose la question : At 100% efficiency two generators would produce 750 MW of power. At efficiencies of 65% and 75%, they produce 530 MW. At 100% efficiency, what power would each produce? Harley Weston lui répond. |
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An inline lock with four rows |
2019-06-05 |
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Edward pose la question : I have a inline lock with four rows of numbers 0-9.The numbers cannot be repeated.
Can you please print the possible codes so I can go through them one at a time. The
lock and the cable cost $300. Don't want to pitch it. You guys are lifesavers, can't
wait to hear back. Thanks. Penny Nom lui répond. |
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How many lines of symmetry does a circle have? |
2019-05-28 |
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raji pose la question : how many lines of symmetry does a circle have??? Penny Nom lui répond. |
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Two linear equations with a fraction |
2019-04-26 |
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Asha pose la question : 2x=-3y …1
x-2+-4/3(y+1) ...2
note: … is equation Harley Weston lui répond. |
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(3d) Whether line segment intersects triangle |
2019-04-13 |
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rj pose la question : Well hello,
Lets say I have a triangle,
Not any ordinary triangle, but a triangle that is represented in 3 dimensions. I also have a line segment.
Lets say that this triangle has points A(0,0,0), B(1,0,0), C(0,1,1)
And the line segment has points D(0,1/2,0), E(1,1/2,1)
In what way can I find if the line segment and triangle intersect? Their intersection point?
I don't prefer matrices, because they don't make any sense, but ... if that's the only way to solve this, then do what's necessary.
Thank you in advance. Penny Nom lui répond. |
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4^x=2^x+6 |
2019-04-05 |
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Olivia pose la question : How do you find the (b,n) if the solution of the equation 4^x=2^x+6 can be expressed at logb(n) where b and n are both prime numbers? Penny Nom lui répond. |
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A dice game |
2019-03-17 |
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Remo pose la question : So, little game my kid came up with.
Dice are standard d6.
I roll a die, he rolls a die. If he gets the same number as me OR a bigger number he wins.
So far so good. Used the opportunity to get him to calculate the probabilities of him winning, see if I could get him interested into looking at this game from a more academic perspective. He did fine.
Then we upped the ante.
He rolls one die, I roll two dice. I his die has a number that is equal or greater than both of mine, he wins.
We had a bit of trouble solving that one, and had to resort to a table with all the results ( 6x36) to figure out where we stood.
Then again we upped.
He rolls two dice, I roll two dice.
If any one of his dice has a number equal to or greater than both of mine he wins. I only win if one of my dice is greater than both of his.
And we got stuck. Figured I would need to find a formula to resolve this one, as our earlier solution ( table everything ) suddenly is 36x36, giving well over a thousand possible results. And if we ever go bigger than that then we *really* are going to need another way to calculate it. Harley Weston lui répond. |
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The top half of a cone |
2019-02-27 |
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danica pose la question : What portion of the height from top that the cone be cut into two equal volume? Penny Nom lui répond. |
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A linear equation |
2019-02-11 |
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Nick pose la question : What's a linear equation? Penny Nom lui répond. |
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The exponential form of sqrt(13) |
2019-02-10 |
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isaebl pose la question : what is the exponential form of sqrt(13) Penny Nom lui répond. |
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An ice cream cone |
2019-02-05 |
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Eyuel pose la question : a scoop of ice cream has a 3-inch radius how tall should the ice cream cone at the same radius be in order to contain all of the ice creams inside the cone Penny Nom lui répond. |
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A cylinder with a cone on top |
2019-01-16 |
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Berania pose la question : A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees.
(a) Determine the height of the cone to the nearest tenth of a foot.
(b) Determine the overall volume of the tower to the nearest cubic foot. Penny Nom lui répond. |
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Simultaneous equations with fractions |
2018-12-14 |
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zaheer pose la question : solve simultaneous equations and give answer in fractional form
3x - 2 = 4y +5/3
y + 7 = 2x + 4
would really appreciate some help on this please Penny Nom lui répond. |
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A puzzling equation |
2018-12-04 |
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Manny pose la question : Hello,
Can you explain why this is wrong:
-1 = (-1)^3 = (-1)^{6/2} = ((-1)^6)^{1/2} = (1)^{1/2} = 1 ??
Thank you Penny Nom lui répond. |
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The top of a truncated cone |
2018-12-02 |
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Sameer pose la question : Bottom cone radius 1124.height is 200. Top radius 15degree decree to bottom radius. Top radius how much ? Penny Nom lui répond. |
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Two cones formed from two circular sectors |
2018-11-30 |
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APARNA pose la question : The central angles of two sector of a circle are 60° and 120° . Using these sectors two cones are made. If the radius of the smaller cone is 5 cm, find the radius and base area of the larger cone. Penny Nom lui répond. |
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A line cuts a curve |
2018-11-11 |
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roxanne pose la question : Hello, i need to ask a question, do you mind explaining and writing the formula of how to solve equations such as "find the set values of k for which the line y-2x-5 cuts the curve y=x^2 +kx+11" please Penny Nom lui répond. |
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Why 1/3 in the volume of a cone? |
2018-10-20 |
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Keith pose la question : In the formula for the volume of a pyramid, Volume = 1/3 * base * height, where does the 1/3 come from, intuitively? Penny Nom lui répond. |
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The point-slope equation for a line |
2018-09-23 |
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Sally pose la question : The equation of the line in point-slope form for the line passing through the point ( 4, -6) and parallel to the line y = -6x + 2. Describe the steps. Penny Nom lui répond. |
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An inequality with no solution |
2018-09-20 |
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Alena pose la question : I'm trying to help with a homework problem. Can you please help me?
2kx - 3k < 2x + 4 +3kx
We are solving for "k" with no solution. Penny Nom lui répond. |
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Exponential form |
2018-09-14 |
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Saquanna pose la question : What is 25 in exponential form Penny Nom lui répond. |
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Exponential form |
2018-09-12 |
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Grace pose la question : hi, I can't figure out how to do 735 in exponential form. note that im only in 5th grade and its not supposed to be in the scientific notation or whatever. okay, thanks! Penny Nom lui répond. |
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Two spinners |
2018-08-13 |
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Atina pose la question : A spinner has four equal sectors and a number is written on each sector; 1, 2, 3 and 4. A two-digit number is formed by spinning two times. The number on the first spinning makes the first digit and the number on the second spinning makes the second digit. For example, 2 on the first spinning and 1 on the second spinning make the number 21.
(a) Give the sample space S for the experiment.
(b) Consider the following events : E = odd number; F = number smaller than 35; G = prime number.
Give the subset of outcomes in S that defines each of the events E, F, and G.
(c) Describe the following events in terms of E, F, and G and find the probabilities for the events.
• getting an even integer less than 35.
• getting an odd number or an prime.
• getting an even number greater than or equal to 35 that is a prime number. • an odd number smaller than 35 that is not a prime number.
(d) Are E and F mutually exclusive events? Give a reason for your answer. Penny Nom lui répond. |
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Exponents |
2018-08-13 |
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Ella pose la question : What is the radical form of 3xy raised to 5 quantity three- fifths? Penny Nom lui répond. |
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Form a cone from a circle sector |
2018-08-12 |
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Tinashe pose la question : A 216 sector of a circle of radius 5cm is bent to form a cone. Find the radius of the base of the cone and its vertical angle. Penny Nom lui répond. |
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5 mm of water over 1 hectare |
2018-08-10 |
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Joyce pose la question : Please help me with this question.
How many tonnes of water fell on 1 hectare of land during a rainfall of 5mm? Penny Nom lui répond. |
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Truncated cones |
2018-08-08 |
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Belgacem pose la question : Hello, I have a truncated cone: height 500mm , Base radius=147mm and I want to calculate the Top surface radius. How to do that? thank you Penny Nom lui répond. |
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Paving stones area |
2018-08-08 |
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Declan pose la question : I am thinking of buying some reclaimed block paving stones. There are 750 pieces in total.
60% are L- 140mm x W -140mm x H-50mm
40% are L-170mm x W-140mm x H-50mm
How much area will this cover? Penny Nom lui répond. |
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Linear feet and cubic feet |
2018-07-16 |
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Dave pose la question : How do I convert: 1 foot wide x 15 inches high x 19 inches deep
We are trying to figure out how to convert the linear footage into cubic footage
the above are the figures represent just 1 linear feet of several thousand
Any thing helps,
Thanks in advance
Dave Penny Nom lui répond. |
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The area, radius and slant height of a cone |
2018-05-18 |
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joette pose la question : If you have a cone how to find the slant height when given the area and radius? Penny Nom lui répond. |
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The square root 3 in exponential form |
2018-05-09 |
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Paige pose la question : how do you write the square root 3 in exponential form Penny Nom lui répond. |
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A rectangular prism with rounded corners |
2018-04-25 |
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Jackie pose la question : Rectangular prism that is 40 by 20 with rounded corners with a radius of 2.5.
What would the surface area be? Penny Nom lui répond. |
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More on the curvature of the Earth |
2018-04-23 |
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will pose la question : the formula for figuring the earth's curve goes against logic, looking at a fixed point and backup 1mi. the point drops 8" then 16" in the next mi. and 32" in the third mi. why shouldn't it be 24" why is the 8" per mi. squared can you tell me in laymens terms why this is it goes against logic it would seem the correct wat would be to add up 8" per mile as you back up from the fixed point 8"- 16"- 24"- 32" not 8/16/32/64" Harley Weston lui répond. |
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A volume expression for a pyramid |
2018-04-23 |
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Shaheer pose la question : Do a three sided pyramid and a square pyramid have the same formula if you want to calculate the volume? Penny Nom lui répond. |
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A cone formed from a circular sector |
2018-04-18 |
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Jessica pose la question : A circle has a radius of 7.5cm. A sector with an angle of 240 degrees is cut out from the sector. If the sector is folded to form a cone. Find the length of the cone. Penny Nom lui répond. |
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Graham's money box |
2018-04-12 |
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Tasnim pose la question : Graham's money box consists of sh.10 and sh.5 coins. There are 24 coins and it's total value is 150. Find how many of each coins are there in the box Penny Nom lui répond. |
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The volume of a tent with a hexagonal base |
2018-03-27 |
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shohel pose la question : A tent has its base in the shape of a regular hexagon whose sides are 10m . If the height of the tent is 12m , then find its volume. Penny Nom lui répond. |
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1/4 acre of land |
2018-03-15 |
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Jean pose la question : I have 1/4 acre of land.it is square.what should the measurement be for each side be in feet Penny Nom lui répond. |
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Solve sinX=0.703X for X |
2018-03-13 |
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PARAM pose la question : sinX=0.703X Penny Nom lui répond. |
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0.366 x cos square (02 degree 17 mins 27 seconds) |
2018-03-12 |
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michael pose la question : what is 0.366 x cos square (02 degree 17 mins 27 seconds)
what is 0.366 x cos square (88 degree 26 mins 45 seconds) Penny Nom lui répond. |
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Parents, grandparents, great grandparents, ... |
2018-02-28 |
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jessica pose la question : every person has 2 birth parents, 4 birth grandparents, and so on. These people are known as ancestors. How many ancestors does a person have in each generation? write in exponential form. 3ed generation, great-grandparents? 4th generation? 10th generation? Penny Nom lui répond. |
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Dividing a region in half |
2018-02-24 |
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mandy pose la question : There is a line through the origin that divides the region bounded by the parabola y=4x−5x2y=4x−5x2 and the x-axis into two regions with equal area. What is the slope of that line? Penny Nom lui répond. |
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The slope of a line |
2018-02-22 |
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Steve pose la question : my current slope is 6%. I want to know how many inches higher I will be at 18'
Thanks Penny Nom lui répond. |
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A footballer angle |
2018-02-14 |
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Kim pose la question : Two goal posts are 8m apart. A footballer is 34m from one post and 38m from the other. Within what angle must he kick the ball if he is to score a goal. Penny Nom lui répond. |
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Solar cells |
2018-02-12 |
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karla pose la question : Solar (photovoltaic) cells convert sunlight directly into electricity. If solar cells were 100% efficient, they would generate about 1000 watts of power per square meter of surface area when exposed to direct sunlight. With lower efficiency, they generate proportionally less power. For example, 10% efficient cells generate 100 watts of power in direct sunlight. Suppose you want to supply 22 kilowattss of power to a house by putting solar panels on its roof. For solar cells with the average power of 49 watts per square meter of solar panels, how many square meters of solar panels would you need? Assume you can make use of the average power from the solar cells Penny Nom lui répond. |
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Water in a cone |
2018-02-10 |
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Shuvo pose la question : The diagram shows a vertical cross-section of a container in the form
of an inverted cone of height 60 cm and base radius 20 cm. The circular
base is held horizontal and uppermost. Water is pursed into the
container at a constant rate of 40 cm3/s.
Show that, when the depth of water in the container is x cm, the
volume of the water in the container is (πx^3)/27 cm3.
Find the rate of increase of "x" at the instant when "x" = 2. Penny Nom lui répond. |
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Adding two negatives |
2018-02-04 |
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Pinasshakoane pose la question : (-23)+(-3) Penny Nom lui répond. |
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The code on a new phone |
2018-02-02 |
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Maria pose la question : Hi -
My husband gave me a new Samsung Galaxy mobile for out anniversaire gift. He set me a challenge which I have to solve before I can use the Phone. He has set the pin code with numbers 4, 7 and 0 and created a four digit code with the said numbers. Is there a way I can somehow list all possible combinations and try them all? Thanks! Penny Nom lui répond. |
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Positive and negative values of a function |
2018-01-30 |
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Grayson pose la question : f(x)=x^6-x^4
Interval: ( negative infinity, negative one )
Test Value: negative two
Function Value f(x): positive forty eight
Interval: ( negative one, zero )
Test Value: negative one
Function Value f(x): zero
Interval: ( zero, positive one )
Test Value: positive one
Function Value f(x): zero
Interval: ( positive one, positive infinity )
Test Value: positive two
Function Value f(x): positive forty eight
What is the sign of f(x) for each Interval? Penny Nom lui répond. |
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The equation of a line |
2018-01-23 |
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Gloria pose la question : Write the equation of a line in standard form through the point (1, 6) and perpendicular to the line 2x –y = 9. Penny Nom lui répond. |
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The product of the coordinates of a point on a line |
2018-01-17 |
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Sophia pose la question : For any point on line l, the product of the x-coordinate and the y-coordinate is less than or equal to zero , what is the answer? Penny Nom lui répond. |
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A fraction of a mile |
2018-01-06 |
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Sierra pose la question : There are 5280 feet in a mile. what fraction of a mile is represented by 660 feet? Penny Nom lui répond. |
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4444^4444 |
2017-12-10 |
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Sashi pose la question : 4444 to power of 4444=?
Please share the result with simplification. Penny Nom lui répond. |
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Exponential form |
2017-11-25 |
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Sherry pose la question : What is the exponential form of 3sqrt 15? Penny Nom lui répond. |
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The graph of graph y= -2x-1 |
2017-11-11 |
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Natividad pose la question : How do you graph y= -2x-1? Penny Nom lui répond. |
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The volume of a cone without calculus |
2017-10-02 |
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Akash pose la question : How to find the volume of a cone without the knowledge of calculus? Penny Nom lui répond. |
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An alphabetic sequence |
2017-09-17 |
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malik pose la question : find the letter of the following series....?
ZOTTFFSSE- Penny Nom lui répond. |
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The angle between two planes |
2017-09-12 |
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Arthi pose la question : Hello. hope you are having a good day.
I am stuck on a maths question in which it is asking, how to find the angle between two given planes. These planes are in a 3D shape such as a prism.
How can I do this?
Please reply as soon as possible
Thank You Penny Nom lui répond. |
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Simultaneous equations with fractions |
2017-09-09 |
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Farah pose la question : Hi, my name is Farah. I hope you can help me with this question . X/2 + g/5= 3 and 2g - f = 10 Penny Nom lui répond. |
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Simultaneous equations |
2017-09-02 |
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keto pose la question : x-y=2,x^2+xy=12 Penny Nom lui répond. |
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A pair of linear inequalities |
2017-08-08 |
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Hempstone pose la question : Solve the inequalities 3x-5<2x+5>4x+9 Penny Nom lui répond. |
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Catherine, Molly and Tom |
2017-07-19 |
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liezel pose la question : what is the answer of this problem, If Catherine and molly has 320pesos altogether, Molly and tom have 360 in all. Tom and Catherine have 240pesos altogether.How much does each of them have? Penny Nom lui répond. |
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Parallel and Perpendicular lines |
2017-07-17 |
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Karen pose la question : Find an equation for the line with the given properties. Perpendicular to the line 7x + 2y = -6; containing the point (-2, -1)
Find an equation for the line with the given properties. Parallel to the line 5x - 3y =-6; x intercept = 3 Penny Nom lui répond. |
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Exponential form |
2017-07-06 |
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estela pose la question : what is exponential form of 9×1000 Penny Nom lui répond. |
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Solve the equation completely cos 2x = 1 |
2017-06-08 |
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Lava pose la question : Solve the equation completely cos 2x = 1 Penny Nom lui répond. |
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Simultaneous equations with fractions |
2017-06-02 |
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Jamal pose la question : 1/x + 1/y =5 and 1/y - 1/x =-1 Penny Nom lui répond. |
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Two wires between two buildings |
2017-05-11 |
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Bill pose la question : I need to find the height of the intersection point of two building wires< br />
Building A is 860 feet high and building B is 480 feet high. The wires existent from the top of one building to
The bottom of the other < br />
The distance between is 32 feet Penny Nom lui répond. |
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A lost iPhone pass code |
2017-04-17 |
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Sam pose la question : I have a locked iPhone and it has all my of my holiday photos on it. I changed the password and then I think I did a incorrect number pattern but anyway I know it ends with 99 and the first 4 digits are 235 and 6 could you please send all of the combinations for this password (without the 99) Thx and plz get back ASAP I need it for school Penny Nom lui répond. |
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A function which is onto but not one-to-one |
2017-04-16 |
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Avinash pose la question : Define a function f(x):N-->N which is onto but not one-one.Where N is set of natural numbers. Penny Nom lui répond. |
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Forming a cone from a circle |
2017-04-15 |
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Tasha pose la question : A sector of a circle subtends an angle of 216 degrees at the centre, If this sector is used to form a cone of vertical height ,8cm, calculate the base radius of the cone Penny Nom lui répond. |
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A rectangular box filled with oil |
2017-04-11 |
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morpal pose la question : we want to calculate volume of rectangular box height 1275mm and lengths 2400mm and breadth 1270mm and oil s. gravity is .950 how much kg. of oil i can store Penny Nom lui répond. |
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Successive Differences |
2017-04-06 |
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Twaha pose la question : Please find the equation of the sequence 1 2 4 7 11 16 22 Penny Nom lui répond. |
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How to find last two or three digits of a large exponent like 17^256? |
2017-03-30 |
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Raginee pose la question : How to find last two or three digits of a large exponent like 17^256? Penny Nom lui répond. |
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2^a, 2^b, 1^1 and 1^0 |
2017-03-17 |
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Émile pose la question : If you had 2^a = 4 and 2^b = 4 you could assume that a = b right? Yet we can observe that 1^1 and 1^0 both equal 1, yet 1 = 0 isn't true. So if given a log base 1 number 1 the would the answer be 1 AND 0? Penny Nom lui répond. |
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What is the grade of the incline? |
2017-03-12 |
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Jon pose la question : If I am climbing 16 feet in elevation over 80 feet horizontal. What is the grade of the incline Penny Nom lui répond. |
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Exponential form |
2017-03-04 |
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michael pose la question : I was teaching my student about exponent when we stumbled across this problem.
"write (-125)^-3 in exponent form"
The problem is with the number "-125". I think -125 = (-5)^3. But one of my student thought that it is -125= -5^3.
Both of them is equal to -125 but they totally different in structure. I wonder which one is correct and why it is. I am worried if they get this wrong, it might spell problem in the future when we start substituting the numbers with variable.
Thank you very much for reading my question and answering it. Penny Nom lui répond. |
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Five equations |
2017-01-16 |
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Muhammed pose la question : A x 4 = E
B ÷ 4 = E
C + 4 = E
D - 4 = E
___________
& A + B + C + D = 100
what is the value of E Penny Nom lui répond. |
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One millionth of one percent of 90,000,000,000 |
2017-01-16 |
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Gene pose la question : What absolute number is one millionth of one percent of 90,000,000,000 Penny Nom lui répond. |
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Plans for dog kennels |
2017-01-04 |
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Pat pose la question : So... I'm trying to draw up a plan for my new kennel buildings. They are going to built
out of grain bins. I know, cool,... right. Anyway the kennels will be along the outside
of the circle and be shaped like wedges. the center will be a play area. All of the kennel
sides are 6 ft in length so the size of the gate will determine how many kennels I can
fit in each bin. If I want to put an odd number of kennels in and I cant draw
a straight line across to make all of the wedges the same size... how do I figure out the
angles...degrees ? maybe i'm making it too hard but i'd like to give the dogs as much space
as i can. I did up some ... attached. Harley Weston lui répond. |
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Simultaneous equations with fractions |
2016-12-21 |
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Kimi pose la question : I am stuck on this,can someone please help me????
1/2x+1/3y=11
8x+2/5y=102
Can someone please explain how to solve questions like these??
Or else I will never learn...
Thank you Penny Nom lui répond. |
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Joining a fitness center |
2016-12-18 |
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Salem pose la question : A fitness center offers a special price for group-class students. The cost of registration is 30 dollars and then you have to pay 25 dollars per month. What is the rule of the equation in the light of c=---m+----? Penny Nom lui répond. |
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How far apart are the boats? |
2016-12-13 |
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Halley pose la question : Two boats leave port at the same time. Boat A travels east at a speed of 12 km/hr. Boat B travels southwest at a speed of 14 km/hr. After two hours, how far apart are the boats? North is 0 degrees. How do I figure this out.
Thanks Penny Nom lui répond. |
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Acres and miles |
2016-11-30 |
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Carolyn pose la question : If I am running a pipeline of 1,100 miles, how many one acre plots will it take to cover this distance?
Carolyn Penny Nom lui répond. |
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2^x= -2x - 11 |
2016-11-27 |
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Kathy pose la question : I don't know how to start this problem:
2^x= -2x - 11 Penny Nom lui répond. |
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Simultaneous equations |
2016-11-25 |
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Rohan pose la question : x-2/3 + y - 1/4 = 13/12
2-x/2 + 3 + y/3 = 11/6 Penny Nom lui répond. |
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Parallel lines |
2016-10-26 |
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Jordan pose la question : (7,-5) 3x -4y=5 Penny Nom lui répond. |
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y = mx + c and Ax + By + C = 0 |
2016-10-18 |
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Erick pose la question : please explain to me how to convert an equation from the form y=mx+c to Ax+By+C=o form. Penny Nom lui répond. |
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A linear relationship |
2016-10-16 |
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Bianca pose la question : x represents the number of hours since 8am. y represents the number of children the school nurse has seen during the school day. The nurse has seen 3 children by 8am and 27 children by noon.
How many children has the nurse seen at 2pm?
If the nurse has seen 18 children, what time is it? Penny Nom lui répond. |
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An airplane schedule |
2016-10-14 |
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Stephanie pose la question : Starting at 8:00a.m., a passenger plane leaves from an airport every 6 minutes and a cargo plane leaves every 7 minutes. When is the next time these kinds of planes will leave at the same time? Penny Nom lui répond. |
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The equation of a line |
2016-10-01 |
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Miriam pose la question : write the equation of the line that passes through (6,7) and is perpendicular to 3x+5y=0 Penny Nom lui répond. |
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The length of stock on a roll |
2016-09-23 |
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Ken pose la question : I have a roll that is 13.5 inches wide ( OD) , and is wound on a 3 inch core. the thickness of the material is 3.5 thick.
Do you know of a formula that can calculate the linear feet on that roll?? Harley Weston lui répond. |
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The equation of a ski slope |
2016-08-31 |
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Hannah pose la question : The information provided is
---A ski slope has a slope of -0.2. You start at an altitude of 10,000ft.
Then the question is "Write the equation giving altitude (a) as a function of horizontal distance moved (d).
I know this is probably a very simple question but I didn't take a math class my senior year and now I'm a freshman in college, so some of it is very frustrating to me.
Any help is much appreciated, thank you! Penny Nom lui répond. |
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Exponential form |
2016-08-31 |
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Lily pose la question : Hi! I was wondering, I was having a little issue understanding this one problem. It was "write 81 in exponential 2 different ways" and I already got 9(2) but I was wondering what the second one could be! Thanks! -Lily Penny Nom lui répond. |
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Two sequences |
2016-08-20 |
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Ting pose la question : The first four terms of a sequence are 4, 20, 56 and 120. By comparing with the nth term of sequence 1,5,14 and 30 which is 1/6n(n+1)(2n+1), find a formula for nth term. Can you precisely show out how you do this questions ( with the steps please) Penny Nom lui répond. |
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A cone inscribed in a hemisphere |
2016-08-07 |
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anonymous pose la question : A cone is inscribed in a hemisphere. the slant height of the cone is 20cm. When cut along its slant height, the cone forms a sector of a circle.
find the angle of the sector, to the nearest 1 decimal place. Penny Nom lui répond. |
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The dimensions of a rectangle |
2016-07-25 |
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Krunox pose la question : A rectangle is twice as long as it is wide. Its perimeter (the sum of the lengths of its sides) is 60 cm. Find its length and width. Penny Nom lui répond. |
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The temperature inside and outside a greenhouse |
2016-07-22 |
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Mehzad pose la question : Every day, the temperature in a greenhouse is at its low temperature, 70 degrees Fahrenheit, at 2 a.m. and at its high temperature, 84 degrees Fahrenheit, at 2pm. Its temperature increases linearly between 2 am and 2pm , and decreases linearly from 2 pm and to 2am. The outside temperature follows the same linear patterns, but has a low temperature of 60 degrees Fahrenheit at 2 am and a high temperature of 78 degrees Fahrenheit at 2 pm. At which of the following times will the temperature inside and outside the greenhouse be the same?
a) 8:00 am
b) 12:00 noon
c) 4:00 pm
d) The two temperatures will never be the same Penny Nom lui répond. |
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Two equations with fractions |
2016-07-22 |
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kanesh pose la question : p/2+q/3=3
p/4+2q/3=3 Penny Nom lui répond. |
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Simultaneous equations |
2016-06-25 |
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sena pose la question : 2x/3+3y/2=-1
4x-5y=22
simultaneous equation Penny Nom lui répond. |
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The lateral side length of a cone |
2016-06-05 |
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Diane pose la question : Question is find the lateral side length of a right cone with area of 372 sq. cm and base circle radius of 9 cm. Penny Nom lui répond. |
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A pair of equations with fractions |
2016-05-11 |
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tiya pose la question : hello, i want to know how to solve this question.
m/6+2n/3=6
-m/10=2n/5=2 Penny Nom lui répond. |
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Solve 2^2x + 3(2^x) - 4 = 0 |
2016-04-27 |
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Lloyd pose la question : Solve the equation 2^2x + 3(2^x) - 4 = 0 Penny Nom lui répond. |
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600(1+0.05)^7 |
2016-04-21 |
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chelsey pose la question : I am unsure on how to solve this problem, 600(1+0.05) 7 ? Penny Nom lui répond. |
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A stained glass cone lamp |
2016-04-09 |
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Edwin pose la question : In making a 16" dia. cone lamp (stained glass), how many square feet of glass do I need. Penny Nom lui répond. |
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The last two digits of a phone number |
2016-04-03 |
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Joshua pose la question : I want to find the last two digits of a phone number whose first eight numbers of a ten digit phone numbers are known. Penny Nom lui répond. |
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The volume of a cone |
2016-03-31 |
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Odum pose la question : Find the volume of a cone with radius 6.5cm and height 12.6cm Penny Nom lui répond. |
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Angles |
2016-03-12 |
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Laurynn pose la question : What are angles in general (please include the 'angle of incline')
Thank you
Laurynn Penny Nom lui répond. |
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Corrosion inhibitor in a pipeline |
2016-03-02 |
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Edu pose la question : I have a 12 in pipeline and 5 miles long. I need to coat it with corrosion inhibitor how much chemical will I need Penny Nom lui répond. |
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Solve for x and y |
2016-02-27 |
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ntshidi pose la question : Y=1/2x+4and1/4x-6 Penny Nom lui répond. |
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Perpendicular lines |
2016-02-14 |
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Brendon pose la question : points A (-4; 6) , B (1;-2), C (5;-3) and D (4; 1) are given
prove that AC and BD are perpendicular to each other Penny Nom lui répond. |
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Two equations in two unknowns |
2016-02-13 |
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Anumba pose la question : 4x + 2y = 4
7x - y = -11 Penny Nom lui répond. |
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The equation of a vertical line |
2016-02-07 |
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Kagiso pose la question : The equation for a vertical line that goes through the point (7; -3) is? Penny Nom lui répond. |
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Exponential form |
2016-01-26 |
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Jufe pose la question : What is the exponential form of ³√11x² Penny Nom lui répond. |
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Exponential growth |
2016-01-26 |
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Paul pose la question : The value of a stamp was 0.03 in 1851. The value in 2011 is $50,000. If the value increased exponentially, what is the annual growth rate? Penny Nom lui répond. |
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A system of linear equations |
2016-01-24 |
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kareem pose la question : my name is kareem
and i am a student i have a math puzzle and i tried to solved it but it always have same mistake
x-y=9
x+z=12
z-n=14
y+n=2 Penny Nom lui répond. |
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The diameter of the top of a truncated cone |
2016-01-24 |
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Peter pose la question : I am trying to calculate the diameter of a truncated cone given
one diameter the height of the cone and a 10% taper from one end
to the other. For example a butter churn is 18" tall and 9" in
diameter at the base. the sides need to slope inward at 10%
What is the diameter at 9" and 18" Penny Nom lui répond. |
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The perimeter of a one quarter acre square |
2016-01-15 |
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Kerry pose la question : If you have a perfect square that is one quarter of an acre what are the length of the sides and how do you arrive at the solution? thank you, Kerry. Penny Nom lui répond. |
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The range of a function defined piecewise |
2016-01-13 |
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sarah pose la question :
f(x)={x-2, x<-2
{x^2-4, -2_<x_<2
{x+2, x>2
find the range Penny Nom lui répond. |
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Two transport companies |
2016-01-06 |
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Brynleigh pose la question : The Sugar Sweet Company will choose from two companies to transport its sugar
to market. The first company charges $5096 to rent trucks plus an additional fee of
$200.75 for each ton of sugar. The second company charges $5500
to rent trucks plus an additional fee of $175.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same? Penny Nom lui répond. |
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A sequence |
2016-01-05 |
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Mia pose la question : the next three terms in each sequence. 0.4, 0.54, 0.68, 0.82, Penny Nom lui répond. |
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A graph of the water level of a river |
2016-01-05 |
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emoni pose la question : Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Penny Nom lui répond. |
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The height of a parabolic arc |
2015-12-30 |
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Tom pose la question : Is there an algebraic means to determine the highest point of a parabolic arc if the base and perimeter are known? Penny Nom lui répond. |
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Constructing simultaneous linear equations |
2015-12-28 |
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Deborah pose la question : Linda thinks of a two-digit number. The sum of the digits is 8. If she reverses the digits, the new number is 36 greater than her original number. What was Linda's original number?
Thank you! Penny Nom lui répond. |
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Sierpinski Pyramid |
2015-12-14 |
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victor pose la question : Is a tetrix (a Sirpienski Pyramid/Tetrahedron) its own hyperplane?...alternatively, is it a hyperplane? Robert Dawson lui répond. |
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The positive root of sin(x) = x^2 |
2015-12-13 |
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Kemboi pose la question : Find the positive root of the equation sin(x) = x^2 Penny Nom lui répond. |
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Linear equations in two variables |
2015-12-13 |
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priya pose la question : I have problem in solving these equations please help me today itself very urgent:
I)2x+y=y
II)pie*x+y=9 Penny Nom lui répond. |
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The line of intersection of two planes |
2015-12-09 |
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Rabz pose la question : Determine the vector equation for the intersection between the two given planes
2x+7y equal to 14,x+z equal to 7 Penny Nom lui répond. |
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The height of a truncated cone |
2015-12-04 |
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Jack pose la question : I need to build a truncated cone that has a top of30 inches and a base of 64 inches . The sides need to be at a 64.5 degree angle. This will determine the height. Can this be calculated? Penny Nom lui répond. |
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A tangent line to a parabola |
2015-12-02 |
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pei pose la question : Given that the line y=mx-5 is a tangent to the curve y=2x^2+3 find the positive value of M. Penny Nom lui répond. |
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Pouring a foundation |
2015-11-27 |
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Lisa pose la question : Hi im building a house 30ft long 18 ft wide I would like to pour a foundation of 6 inches
deep. How much sand, cement , 1/2" gravel do i need. Penny Nom lui répond. |
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A concrete container |
2015-11-12 |
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Karstin pose la question : The exterior of a concrete container will be 10 feet by 8 feet by 4 feet tall. The walls and the bottom are 6 inches thick. What will it cost to construct it if concrete is $98.95/cubic yard? Penny Nom lui répond. |
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The uniqueness of the lub |
2015-10-25 |
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Aishwarya pose la question : Prove that if the lub and glb of a set exist then they are unique Penny Nom lui répond. |
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Exponential form |
2015-10-17 |
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Will pose la question : What is exponential form of -8? Penny Nom lui répond. |
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The sequence 1,2,4,7,11,16... |
2015-10-15 |
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HEMANT pose la question : what is the next term in the sequence : 1,2,4,7,11,16,? Penny Nom lui répond. |
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How can the probability be zero? |
2015-10-13 |
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anagha pose la question : Hi,
thank you for answering (beforehand)
The other day I was just thinking of circles and I came across this peculiar thing.
Most of'em say that there are infinite number of points on the circumference.
and, if it is true, if we spin the radius, the probability that it will point a a particular point is 1/infinity, right?
It didn't make any sense to me and so, I thought there might be an explanation or something of the kind...? Harley Weston lui répond. |
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Mathematics |
2015-10-13 |
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anagha pose la question : Hi,
thank you for answering (beforehand)
The other day I was just thinking of circles and I came across this peculiar thing.
Most of'em say that there are infinite number of points on the circumference.
and, if it is true, if we spin the radius, the probability that it will point a a particular point is 1/infinity, right?
It didn't make any sense to me and so, I thought there might be an explanation or something of the kind...? Harley Weston lui répond. |
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A tangent line to a circle |
2015-09-03 |
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Jamie pose la question : Use the Greek method to find an equation of the tangent line to the circle
x^2+y^2-4x+6y+4=0 at the points (3,2square root 2-3. Penny Nom lui répond. |
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A two digit number |
2015-08-21 |
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Cameron pose la question : Write the 2 digit number that matches the clues.
My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits.
My number is ________. Penny Nom lui répond. |
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The nth term |
2015-07-04 |
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ujjal pose la question : What is the nth term in the order 6,8,10.... Penny Nom lui répond. |
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A tangent to y = x^3 |
2015-05-31 |
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Brayden pose la question : Show that a tangent line drawn to the curve y=x^3 at the point (d,f (d)), where d>0, forms a right triangle with the x and y axes in quadrant 4 whose area is (2/3)d^4. Penny Nom lui répond. |
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A stone walkway around a pool |
2015-05-29 |
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Jerri pose la question : I have a rectangular pool 15x30 and it will require stone placed around it 4 feet out and 4 inches deep how much will I need? Thanks, jerri Penny Nom lui répond. |
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The intersection of a plane and a cone |
2015-05-16 |
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Tom pose la question : Is there a way to derive an equation that describes the perimeter of the intersection of a plane and a cone regardless of the angle of the plane to the cone. Assume that the plane does not cut through the base of the cone, the x, y, z location of the vertex is known, the distance from the vertex to the plane through the axis is know., and that the angle of the cone is known. Chris Fisher lui répond. |
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The method of elimination |
2015-05-01 |
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oreanna pose la question :
Question from oreanna, a student:
How do u solve 2x+9y=3
7x-4y=-25 in elimination Penny Nom lui répond. |
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A fraction with a negative exponent in the denominator |
2015-04-30 |
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ellen pose la question : 7/ab to the -4 power Penny Nom lui répond. |
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An inequality |
2015-04-19 |
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mr. pose la question : Simplify the inequality √x>x and represent on a number line Penny Nom lui répond. |
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A wireless fence |
2015-04-18 |
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Dave pose la question : I'm buying a wireless fence to keep my pet in my yard. It has a half acre range. In a straight line how far would that be? Penny Nom lui répond. |
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Two airplanes |
2015-04-14 |
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john pose la question : two planes leave an airport at the same time, one going northwest (N35*W)at 400 mph and the other going east at 332 mph. How far apart are the planes after 4 hours to the nearest mile? Penny Nom lui répond. |
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A word problem with fractions |
2015-04-09 |
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Lorraine pose la question : If the numerator of a certain fraction is doubled and the denominator is increased by 1, the fraction becomes 1/2.
If the numerator of the original faction is squared and the denominator is decreased by 2, the fraction becomes equal to 1.
Let x be the numerator and let y be the denominator of the original fraction.
Write down two simultaneous equation in x and y.
Solve these equations to find two possible values for the given fraction. Penny Nom lui répond. |
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A tangent to y=x^3 passes through (0,2) |
2015-04-05 |
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Kevin pose la question : Given that the curve y=x^3 has a tangent line that passes through point (0,2). Find the equation of the tangent line Penny Nom lui répond. |
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n^2 is a multiple of 100 |
2015-03-30 |
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Rahul pose la question : I have to prove that n^2 is a multiple of 100 is necessary or
Sufficient condition (or both) for n being multiple of 10 Penny Nom lui répond. |
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A region defined by three lines |
2015-03-16 |
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Lucinda pose la question : find the area of the figure formed by the line y=-5x+9 and the x-axis and y-axis. Penny Nom lui répond. |
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A cone of maximum volume |
2015-03-16 |
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Mary pose la question : I have to use a 8 1/2 inch by 11 inch piece of paper to make a cone that will hold the maximum amount of ice cream possible by only filling it to the top of the cone. I am then supposed to write a function for the volume of my cone and use my graphing calculator to determine the radius and height of the circle. I am so confused, and other than being able to cut the paper into the circle, I do not know where to start. Thank you for your help! -Mary Robert Dawson lui répond. |
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Constructing a cone |
2015-03-12 |
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Levi pose la question : While the mathematics at the welding shop page was very helpful there is one vital part missing. If I have never built a cone how do I figure out how much bigger the diameter of my
circle has to be when laying flat on the floor verses the diameter when it has been pulled into a cone. Harley Weston lui répond. |
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Extraneous solutions |
2015-03-07 |
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Emily pose la question : I have a question about Extraneous Solutions, Because I was recently researching to figure out
on how to determine that a solution is extraneous and many of the answers talked about how if a answer is negative
that it should always be extraneous but now I found out that positive solutions can also be considered as extraneous solutions
so that is why I am really confused Extraneous Solution's.
I would really appreciate it if you could clearly explain to me how to determine an extraneous solution from a normal solution.
Thanks,
Emily Chris Fisher lui répond. |
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Two equations with fractions |
2015-02-26 |
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Pulane pose la question : Hi math centre I've been trying to solve these equations for days now please help
(6/x)-(1/y)=4
(9/x)+1=(-2/y)
Please help me solve them simultaneously
Thank you Penny Nom lui répond. |
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A region described by inequalities in cylindrical coordinates |
2015-02-21 |
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Rahul pose la question : I am not able to visualize a solid given by inequalities as under (in cylindrical coordinate system)
0=
I know that (can visualize) first 2 inequalities say it is a cylinder of infinite length.
It seems that third inequality poses the restriction to the height as well as it makes us to remove a cone.
But I just can not understand it clearly.
Thanks in advance!
Regards,
Rahul Penny Nom lui répond. |
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Two equations |
2015-02-16 |
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nigel pose la question : 2x+1/2y=1
6x-3/2y=21 Penny Nom lui répond. |
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The volume of a cone |
2015-02-05 |
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Linda pose la question : How do you calculate the volume of a cone that is 25cm high and has an angle of 20 degrees? Penny Nom lui répond. |
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1,4,9,61,52,___ |
2015-01-21 |
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Mubashir pose la question : 1,4,9,61,,52,___,84,___,18,1,121,___
please tell me its formula and also that rule that is being applied here like adding 3 or subtracting 5 etc. Walter Whiteley lui répond. |
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Largest cone in a sphere |
2015-01-15 |
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Alfredo pose la question : What is the altitude of the largest circular cone that may be cut out from a sphere of radius 6 cm? Penny Nom lui répond. |
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A sequence |
2015-01-13 |
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cyaz pose la question : write a rule for each sequence then find next 3 terms for 7/8, 3 1/8, 5 3/8 Penny Nom lui répond. |
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Missing digits in a phone number |
2015-01-07 |
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Janelle pose la question : I had a friend try and play a game on me, regarding phone numbers, so I only know the area code , and the last four digits of the phone number. Which means, there are 3 digits that I need to figure out all the possibilities to. Penny Nom lui répond. |
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A line segment of length root 5 |
2014-12-15 |
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angela pose la question : On the dot grid below, draw and label a line segment with length square root 5
the dot grid is 8 by 10 Penny Nom lui répond. |
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A cone is 2/3 full of sand |
2014-12-14 |
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Janice pose la question : A cone with a radius of 3.5 cm and a height of 12 cm is 2/3 full of sand.
What is the volume of the sand inside? Penny Nom lui répond. |
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Planar curves |
2014-12-13 |
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ann pose la question : what does planar curve mean in your definition of a cone? Penny Nom lui répond. |
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1999 equations in 1999 unknowns |
2014-11-28 |
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Subrahmanya pose la question : Solve the following system of 1999 equations in 1999 unknowns :
x1+x2+x3=0, x2+x3+x4=0……., x1997+x1998+x1999=0,
x1998+x1999+x1=0, x1999+x1+x2=0.
(in x1,x2,...................,x1999 the numbers 1,2,.............,1999 are subscripts) Penny Nom lui répond. |
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Exponential notation |
2014-11-27 |
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Jaqui pose la question : May sound super easy, but how would you SHOW that you simplified
3x3 to the power of 2 (the little 2)?
thank you!
Jaqui Penny Nom lui répond. |
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Doubling the dimensions of a cone |
2014-11-21 |
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Hannah pose la question : If the volume of a cone of height 10 cm is 261.8 cm3, show that this
volume is increased by a factor of 8 if the dimensions of the cone are doubled. Penny Nom lui répond. |
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Two quadratic equations |
2014-11-20 |
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rajesh pose la question : Sir,
I would like to discuss on question-
-Find the value of variable X and Y, equations are
X2+Y2+2XY=25
X2+Y2-2XY=1
Sir, my point is equation looks not so easy.My opinion is there many
(more than 4)value possible for both X and Y.
Kindly help me.
Waiting for your response.
regards,
rajesh Penny Nom lui répond. |
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The cube root of 729 |
2014-11-12 |
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Alexis pose la question : What would be the square root of 729 to the third power and could you
explain how to get the answer? Penny Nom lui répond. |
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What is -3 squared? |
2014-11-12 |
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Christine pose la question : On a math test, it said "What is -3 squared?" It did NOT say "What's is (-3)squared"
The teacher's explanation is that if there are no brackets or parenthesis, you ALWAYS square the number first then do the negative, so the answer should be -9, but I can't find anywhere that confirms this.
Help please. Robert Dawson lui répond. |
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Prime factorization in exponent form |
2014-10-31 |
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Emma pose la question : I need to find out how to make a prime factorization of 120 in exponential form. Penny Nom lui répond. |
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Water in a spherical container |
2014-10-17 |
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Natalie pose la question : A spherical container with radius 10cm being filled with water such that the water level, h cm, in the container increase at a rate of 0.5 cm s^(-1). Show that the area of the horizontal surface of water, A cm^(2), in the container is given by A = π(20h - h^(2) ). Penny Nom lui répond. |
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A linear system |
2014-10-14 |
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pheter pose la question : 4/x - 1/y = 3 .... equation (1)
6/x - 2/y = 5 .... equation (2) Penny Nom lui répond. |
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One zero to a quadratic expression |
2014-10-06 |
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Kevin pose la question : Find a value of n such that f(x) = 3^x2 + nx + 6 only has one zero, is this the only solution to the question? Penny Nom lui répond. |
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Sieve of Eratosthenes |
2014-10-03 |
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Hope pose la question : using Sieve of Eratosthenes to determine for in instance prime numbers between 1 to 200, to what nth number should i stop?, 4th, which is 11 or what? Robert Dawson lui répond. |
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Trig functions and the unit circle |
2014-10-02 |
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Jake pose la question : I was wondering what conclusions can be drawn about the trigonometric functions and how they work about the circle. Can you also please give me an explanation for it? Thank you. Penny Nom lui répond. |
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Two equations in x and y |
2014-09-25 |
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seyilogo pose la question : solve y=2x - 3 and (4x - 2y) / x + y = 1 simultaneously Harley Weston lui répond. |
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Meetings for 77 students |
2014-09-18 |
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Adam pose la question : We have a new group of students starting, and would like to set up a series of small group meetings so each student meets each other, hopefully without meeting the same people twice.
We have 77 students. In theory I would like to have 11 meeting slots, with 10 groups in each slot, with up to 8 students in each group. Is there a way to do this?
I have wondered if it might be easier to do 9 meeting slots, with 9 groups per slot, with 9 students per group.
Thanks! Victoria West lui répond. |
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Two equations in two variables |
2014-09-18 |
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Susan pose la question : (28x + 36y) - [20000 - .75(28x + 36y) + 60000] = 5000
x + y = 10000
solving two equations involving variables Penny Nom lui répond. |
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A tangent to a curve passing through a point not on the graph |
2014-09-15 |
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Aquilah pose la question : For the curve y = x2 + 3x, find the equations of all tangent lines for this graph
that also go through the point (3, 14). Penny Nom lui répond. |
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Three collinear points |
2014-08-28 |
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jhanavi pose la question : p,q,r are three collinear points.p and q are(3,4) and (7,7) respectively and PR is equal to 10 units.find coordinates of R Penny Nom lui répond. |
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Filling three holes with stones |
2014-08-20 |
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mark pose la question : how many tonnes of hardcore/crushed stone would it take to fill
1 hole 9ft diameter 5ft deep
and 2 holes both 3ft diameter and 5ft deep Penny Nom lui répond. |
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1/3 of $320 |
2014-08-13 |
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Student pose la question : Grade:5
Please help I got tutor for selective and this question is really
bugging me a lot what is 1/3 of $320?
plez answer quick before I fail :( Tyler Wood lui répond. |
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The method of elimination |
2014-07-05 |
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leo pose la question : please explain how can i solve this problem
3x-6y=-38
6x-9y=44
using elimination and simultaneous method thank you :) Penny Nom lui répond. |
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An oval pool |
2014-06-21 |
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steve pose la question : I have a 16' x 28' oval pool that is buried 24" deep inground. The dig site is dug
2' wider all the way around the pool. I need to back fill this area with stone. I want to fill this area with 6 to 8"
of stone. How many tons of stone will this take?
Thanks you
Steve Penny Nom lui répond. |
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Simultaneous equations |
2014-06-20 |
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rana pose la question : solve the simultaneous equations
a)3x=7y
12y=5x-1 Penny Nom lui répond. |
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Two regression lines |
2014-06-14 |
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catherine pose la question : Given a set of data values ,we can get two regression lines .Explain. Robert Dawson and Penny Nom lui répond. |
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The equation of a line |
2014-05-16 |
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Michael pose la question : Find the equation of a line that passes through (2,-1); the sum of the x- and y-intercepts is 2. (There are two answers) Penny Nom lui répond. |
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A piecewise graph |
2014-05-10 |
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Zoe pose la question : Lightning Energy charges residential users for each unit of electrical energy bought from them each quarter, according to the scale below:
0-500 units cost 17 cents per unit
500-1500 units cost $85 plus 10 cents for each unit in the excess of 500
1500 or more units cost $185 plus 9 cents for each unit in excess of 1500
Sketch a graph showing the charge C as a function of U for up to 2000 electricity units Penny Nom lui répond. |
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A question concerning two lines |
2014-05-09 |
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Hela pose la question : The equation of the line L is 6x+5y=3, and the equation of line Q is 5x-6y=0, which statement below about the line is true?
A) same y intercept
B)parallel
C) Same x intercept
D)perpendicular Penny Nom lui répond. |
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x - 2 Sin[x] = 0 |
2014-05-08 |
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chanmy pose la question : please help me to sole this equation x - 2 Sin[x] = 0,thank you Penny Nom lui répond. |
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If x+y+z=1 then x^2 + y^2 + z^2 = ? |
2014-04-30 |
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Nitin pose la question : If x+y+z=1
then
x^2 +y^2+z^2 = ? ? Robert Dawson lui répond. |
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A cone of vision |
2014-04-29 |
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David pose la question : It is known that a fish in water looking up has a 97 degree "cone" of vision that sees "through" the surface of the water. If a fish lies 4 inches below the surface, the cone forms a window (circle) smaller than if a fish lies 8 inches below the surface. What is the ratio of inches of depth to the radius of the circle on the surface that is its visual window? Penny Nom lui répond. |
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A triangular chicken pen |
2014-04-27 |
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Cierra pose la question : Margaret has two lengths of fence, 20 meters and 24 meters, for two sides of a triangular chicken pen. The third side will be on the north side of the barn. One fence length makes a 75° angle with the barn. How many different pens can she build if one fence is attached at the corner of the barn? What are all the possible lengths for the barn side of the pen?
Not sure what they are asking here... please show step by step what to do! Thank you so much! Penny Nom lui répond. |
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A trig problem |
2014-04-25 |
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srishti pose la question : Consider the points P= (-sin(a-b),-cosa), Q=(cos(a-b),sina), R=(cos(a-b+c),sin(a-c), where 0 Chris Fisher lui répond. |
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Simultaneous equations with fractions |
2014-04-19 |
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Maryam pose la question : I looked at your example of simultaneous equations with fractions and applied it to my question from an educate exam papers but I couldn't get it to work. The question is:
x/8 - y = -5/2
3x + y/3 = 13 Penny Nom lui répond. |
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A tangent of the curve (x/a)^n+(y/b)^n =2 |
2014-04-15 |
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sudhir pose la question : the equation of tangent of the curve (x/a)^n+(y/b)^n =2. at(a,b) is Penny Nom lui répond. |
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Two cones |
2014-04-09 |
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c.j pose la question : what is the length of the radius of the LARGER cone(the LARGER cone has a slant height of 15) when the SMALLER cone has a radius of 8 and a slant height of 12ft ,please help. Penny Nom lui répond. |
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The sides of a triangle |
2014-04-06 |
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Michael pose la question : I am supposed to sove for the length of side "b" of an irregular triangle. I am given the following:
Side a: 65'
Side b: Find this length
Side c: 50'
Angle A: unknown
Angle B: unknown
Angle C: 52 degrees
I am supposed to use the law of cosines to solve for side "b" and my teacher
says there is no mistake in the "givens" for the problem. I do not see how
this can be done using the law of cosines and i have not figured out how to sove for
angle B to use the law of cosines. Penny Nom lui répond. |
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An inequality |
2014-03-27 |
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James pose la question : a step on a stairway is at least 8 inches high. write and solve an inequality to represent the maximum number of steps between floors that are 10 feet apart Penny Nom lui répond. |
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Ms. Werenich's nickels, dimes and quarters |
2014-03-19 |
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London pose la question : Ms. Werenich has twice as many dimes as nickels and 4 more quarters than nickels. If she has $4.50, how many of each coin does she have? What would the let statements be of this problem and can you solve it? Penny Nom lui répond. |
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A circle which is tangent to two perpendicular lines |
2014-03-09 |
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MJ pose la question : I'm a College Student taking up Bachelor of Secondary Education on Math Subject.
And I'm struggling for my research about Circles. I done solving the said topic particularly on this question:
"What are the possible equations of a circle being tangent to a pair of perpendicular lines, having the origin as the Point of Intersection and the C (h, k), where h, k ∈ℤ"
But I can't get what would be the process that I must do in order to jive to my idea/goal for that problem.
Please check my idea that the numerical coefficients of the equation is equal to the radius of the circle.
Thanks in advance! :) Penny Nom lui répond. |
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Determine the selling price |
2014-03-08 |
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augustine pose la question : knowing an auctioneer charges a 7% fee and I know I want $74,400 what is the formula to determine selling price. Penny Nom lui répond. |
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A cone inscribed in a sphere |
2014-02-28 |
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joel pose la question : how can I find the radius and the height of a cone INSCRIBED in a sphere, given the sphere having a radius of 6? ( note: the diameter of the cone is equal to its slanted height). Penny Nom lui répond. |
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Four digit phone numbers |
2014-02-25 |
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Tom pose la question : Hi, I'm an online math teacher, working on lessons for my students.
This question is in their book and I can't do it...! Help!
It has to do with phone numbers, and in this problem,
we are only dealing with
the last 4 digits of the number.
It asks how many possible numbers we have
if at least one digit repeats in the last 4 digits of the number. Penny Nom lui répond. |
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The diameter of the base of a cone |
2014-02-23 |
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elwin pose la question : i have a sector of a circle that has 120 degree and 6 cm length. What will be the diameter of the base of the cone.
and what is the diameter of the angle is changed to 180. Harley Weston lui répond. |
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Paycheck after deductions |
2014-02-23 |
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Louise pose la question : So I got a paycheck for 89.02 they took out in deductions 15.69.
I want to know the percentage they are taking out so that I can figure my take home pay each week before I get it. So I know what to expect for pay each week so I can budget my bills from now on a weekly basis. If I know the percentage than I can just figure out the percentage through how many hours in the week I worked and multiply my gross pay and know what my take home will be Penny Nom lui répond. |
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Three investment partners sharing the profit |
2014-02-22 |
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Ayatullah pose la question : Hello;
We are three partners and bought a property at 2050000 and sold at 2300000.
Details of investment of the partners
X= 1500000
Y= 400000
Z = 150000
My questions are
1) How could i calculate percentage of investment of each partner?
2) How could i deduct 30% commission from each partner in profit?
3) How could i distribute the profit amongst the partners?
Thanks in advance Penny Nom lui répond. |
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What is the exponential form of 1/square root of 6v? |
2014-02-16 |
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Prince pose la question : What is the exponential form of 1/square root of 6v Penny Nom lui répond. |
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Simultaneous fractional equations |
2014-02-15 |
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benjamin pose la question : hi math central. benjamin here. during class, i had problem with this topic. normally i wont have problems with math but this topic i just too hard for me. please help i am having exam and test next week on this topic
here is the question:
using substitution method, solve the simultaneous equation.
(x+1)/(y+2)=0.5
(x-2)/(y-1)=1/3 Penny Nom lui répond. |
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Water in a conical funnel |
2014-02-11 |
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Marcus pose la question : Water is running out of a conical funnel at the rate of 1 inch^3/sec. If the radius of the base of the funnel is 4 in. and the altitude is 8 in., find the rate at which the water level is dropping when it is 2 in. from the top. Penny Nom lui répond. |
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A sequence |
2014-02-10 |
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Joshua pose la question : hello..the question I have today is... A sequence... 1,5,14,30,55,91 find the general terms. Penny Nom lui répond. |
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The volume of a cone |
2014-02-08 |
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hibba pose la question : why is the volume of right circular cone divided by 3? Penny Nom lui répond. |
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Prime factorization |
2014-02-06 |
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Kadeejah pose la question : Write the prime factorization of 37 in exponential form Penny Nom lui répond. |
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A sequence |
2014-01-30 |
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joshua pose la question : hi...really struggle with one question that the teacher gave us...
The sequence is 1,2,1,5,8,1,11,___,___ Penny Nom lui répond. |
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Two nonlinear equations |
2014-01-26 |
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Naryn pose la question : (1÷x) + (1÷y) = (7÷12)
xy = 12 Penny Nom lui répond. |
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An inequality |
2014-01-25 |
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LANELL pose la question : this is a problem to solve: 1/3 + 2/7 >=x/21 -- part of the answer is (-oo)
not exactly that similar--it is on a calculator as a symbol- sure you know what it is I am talking about- the x will be a number Penny Nom lui répond. |
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Mixing water and wine |
2014-01-19 |
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manish pose la question : a man mixes three part of water to one part of wine.When he consumes
one part of mixture he realise that the drink is too dilute and hence adds one part of
wine to the remaining quantity what is the ratio of water to wine in the new mixture. Penny Nom lui répond. |
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An inequality |
2014-01-17 |
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Rosie pose la question : 4x/x-2<3
four x divided by x-2 is less than or equal to 3 Penny Nom lui répond. |
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Fractions and exponents |
2014-01-11 |
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john pose la question : what is the exponent form of 9^4/7^-2 and 6^-3/10^-5 Penny Nom lui répond. |
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A box-and-whisker plot with one whisker |
2014-01-09 |
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Susan pose la question :
Question from Susan, a teacher:
I read your answer to the question about could a box & whisker have NO whiskers.
It made sense to me. However I am preparing for my advanced class and I have a sample graph comparing box plots of data.
Several of the box have only 1 whisker. There is no explanation for this. Can you help me out. I cannot think of a data set that would produce this. Thanks! Penny Nom lui répond. |
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When would one flip the inequality sign? |
2014-01-09 |
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Natasha pose la question : Would one flip the inequality symbol in this equation: (explain why)
(-9a)/(-9) > 81
And please explain in what circumstances one would flip the inequality sign
THANKS! Penny Nom lui répond. |
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A scalene triangle |
2014-01-07 |
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cherry pose la question : Hi
I have been given a scalene triangle of sides -
8m, 6m, and 10m ..
Please help me to find out the area and help me to find out the height .. Penny Nom lui répond. |
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25% profit |
2014-01-02 |
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Finn pose la question : Hello,
The question is all about buy-and-sell business.
Problem:
Pencil - $6 for whole sale price
$8 if I sell the item
How do I get the 25% profit? (you can change the whole sale price and the retail price[if i sell the item])
if I buy the pencil at 24 pieces and sell it at 24 pieces. Penny Nom lui répond. |
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The slope of the line y=-2x+5 |
2013-12-29 |
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victoria pose la question : what is the slope of the line with the equation y=-2x+5 Penny Nom lui répond. |
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Distance from a point to a line |
2013-12-28 |
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Sue pose la question : I need to find the distances from the west line on 1st Take Point and 2nd
Take Point.
Thanks,
Sue Penny Nom lui répond. |
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A linear equation |
2013-12-26 |
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khushboo pose la question : A farmer sowed wheat and paddy in two fields of total area 5000 sq.m. Write a linear equation and draw a graph to represent the same? Penny Nom lui répond. |
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Find the next 3 terms of the sequence |
2013-12-19 |
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Lanelyn pose la question : Find the next 3 terms of the sequence 2,3,9,23,48,87,__,__,__ Robert Dawson lui répond. |
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7 digit phone numbers |
2013-12-08 |
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Sean pose la question : Hi I was wondering how you would calculate how may 7 digit phone numbers there are with only odd digits? Penny Nom lui répond. |
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How do I graph y=-2x-1? |
2013-12-07 |
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cindy pose la question : How do I graph y=-2x-1? Penny Nom lui répond. |
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Exponential form |
2013-12-01 |
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Alina pose la question : My question says to express each number in exponent form in as many different ways as I can; 16, 81 and 64. How do I do this? Penny Nom lui répond. |
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What is the slope of this line? |
2013-12-01 |
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Charlene pose la question : What is the slope of this line? Penny Nom lui répond. |
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n log n = 36 * 10 ^ 12 |
2013-11-12 |
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shihab pose la question : How to find value of n in this equation :
n log n = 36 * 10 ^ 12 Penny Nom lui répond. |
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Substitution type simultaneous equations |
2013-11-03 |
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Kayla pose la question : I am having problems with substitution type simultaneous equations, when the variable you are substituting is a algebraic one:
y=x^2-3x+4 and 3x-2y=1
I have rearranged 3x-2y=1 to get x=(1+2y)/3 but when I substitute this x value into the other equation, I get the wrong answers!
Would appreciate any help! Thank you. Penny Nom lui répond. |
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A plane |
2013-10-27 |
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Thomas pose la question : Why is this 3d plane flat?
if m ≠ n
arcsin(sin(m*arctan(x/y))), arcsin(cos(n*arctan(x/y))),
Pi-arcsin(sin(m*arctan(x/y)))-arcsin(cos(n*arctan(x/y)))
This is using radians.
These are angles of a triangle, when m and n are the same it is a right triangle. All three inputs are not equal to each other. The last input is pi minus the first two inputs, which makes a complete triangle.
I was kind of hoping to find more lissajous curves. It doesn't make sense to me that this is a flat plane, a diagonal one at that.
I'm not a student or anything. I'm just wasting time. Chris Fisher lui répond. |
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Extraneous solutions |
2013-10-22 |
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tom pose la question : i need an equation where x=-2 is the correct answer and x=-3 is an extraneous solution. can you provide me with such an equation?? Harley Weston lui répond. |
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A frustum |
2013-10-12 |
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Lily pose la question : A cone of height 6in. and radius of base 4in. has its top cut off by a plane parallel to its base and 4in from it.
Find the volume of the remaining frustum.
I have worked out the volume of the entire cone but I don't know how to work out the radius of the top of the frustum.
Thanks Penny Nom lui répond. |
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Proportional rates |
2013-10-10 |
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Varsha pose la question : A province's Ministry of Social services has found that both the number of people needing social assistance and the province's total expenditures on social assistance are proportional to the rate of unemployment. Last August when the provincial unemployment rate was 8.4 %, the province provided assistance to 89,300 individuals at a total cost of 4107.4 million. The forecast unemployment rate for next August is 7.9%. How many people can the province expect to need social assistance next August? What amount should the province budget for social assistance in August? Penny Nom lui répond. |
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Maximize the volume of a cone |
2013-10-09 |
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Conlan pose la question : Hi I am dong calculus at school and I'm stumped by this question:
A cone has a slant length of 30cm. Calculate the height, h, of the cone
if the volume is to be a maximum.
If anyone can help me it would be greatly appreciated.
thanks. Penny Nom lui répond. |
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A line through (5, 1) |
2013-10-08 |
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allison pose la question : find an equation in standard form for line passing through point (5,1) and perpendicular to line x=4 Penny Nom lui répond. |
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A triangle problem |
2013-10-02 |
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raneem pose la question : ABC is a triangle in which : BC=20cm. M(<B) =29 and m(<C)=73 . D is the midpoint of BC
Find the length Of AB and AD approximated to 2 decimal places Penny Nom lui répond. |
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A Hole-in-one on all four par 3's |
2013-09-04 |
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Robert pose la question : There are four (4) par 3's at a specific 18 hole course.
One member has the honor of making a Hole-in-one on all four par 3's.
It has taken him 8 years to do it!
How does one go about computing the odds of this TREMENDOUS accomplishment?
Respectfully,
Robert laffal Victoria West lui répond. |
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Ordering crushed stone |
2013-09-03 |
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Prakash pose la question : Dear Sirs,
I am working in a Soft Landscaping contracting company. If I need to purchase crushed stone with the size 50-70mm for $53,429 m^2$ area, how many 20feet containers should I need to order to my suppliers? The 20foot container has internal dimensions 5,897 mm by 2,348 mm by 2,285 mm and the $53,429 m^2$ area is to be covered by 10 cm of stone. Harley Weston lui répond. |
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Two perpendicular lines |
2013-08-15 |
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Hanna pose la question : The problem says, "Write the equation in standard form for the line that is perpendicular to the graph of y=5x+1 with a y-intercept of 4." I have no clue how to do this. Please help me! Penny Nom lui répond. |
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A system of equations |
2013-08-13 |
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Nina pose la question : 3x-2y=8
-x+3y=5
What is the solution of the system of equations Penny Nom lui répond. |
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An equation in slope-intercept form |
2013-08-12 |
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Brittney pose la question : write an equation in slope-intercept form of the line that is parallel to the grapg of y=-3/4x+6 passes through -8,-5 Penny Nom lui répond. |
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Differentiate x^x - 2^sinx |
2013-08-09 |
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tarun pose la question : derivative of x^x - 2^sinx Penny Nom lui répond. |
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Slicing through a cone to form an ellipse |
2013-08-06 |
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Pulkit pose la question : we get an ellipse on slicing through a cone. Is there a relation between central axis of the cone and this ellipse?
Does it pass through the any of the foci of the ellipse? Chris Fisher lui répond. |
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Simultaneous equations |
2013-07-10 |
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Warren pose la question : solve this simultaneous equation: xy=4
2x+3y=14 Penny Nom lui répond. |
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A one acre plot of land |
2013-06-19 |
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Carol pose la question : If I have a one acre plot of land, what is the measurement in feet on each of the four sides? Penny Nom lui répond. |
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An isosceles tiangle |
2013-06-16 |
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Izzy pose la question : what's the height of an isosceles triangle which has a base of 50 m, and both of the other sides are 25 m? Penny Nom lui répond. |
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A kennel for a beagle |
2013-06-03 |
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david pose la question : Hi, I'm building some beagle kennels and I am in need of help with an angle problem. I need to place a roof on my kennel with a drop of 2inches across 3ft 10inches. the posts on the right side will be 5ft and the post on the left will be 4ft 10in. the posts are 4x4 and the space to be covered is 3ft 10in from the outside of the 4x4. Please help, thanks. Penny Nom lui répond. |
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Simson line |
2013-05-23 |
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Nazrul pose la question : From any point p lying on the circumcircle of the triangle perpendiculars
PD , PE are drawn on BC,CA respectively. The line segment ED intersects at
the point 0 ; prove that PO ⊥ AB ( PO is perpendicular to AB ). Chris Fisher lui répond. |
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siin (A) and sin (A/2) |
2013-05-09 |
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shanaia pose la question : given that sin A=4/5 and A is obtuse.find sin (A/2) Penny Nom lui répond. |
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650*(1+0.005)^96 |
2013-04-17 |
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joAnn pose la question : i am trying to figure out how to solve a question like this for example:
650(1+.005)96
I have been doing it this way but takes forever and wanted to know a shorter way
650 x 1.005 x 1.005 x 1.005 x 1.005 96 times
HELP Penny Nom lui répond. |
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A cone problem |
2013-04-14 |
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Courtney pose la question : Hello,
I am having difficulty solving this cone problem. The biggest challenge I have is figuring out what angle they are talking about:
The angle at the base of a cone is 34.5 degrees. Find the diameter of the cone at point on the edge of the cone 26cm from the tip. Penny Nom lui répond. |
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How do i write log_8(P) =7 in exponential form? |
2013-04-14 |
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nancy pose la question : How do i write this in exponential form log8P =7 Penny Nom lui répond. |
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4 linear equations with 3 unknowns |
2013-04-12 |
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Marian pose la question : how to solve for 3 unknowns in 4 simultaneous equations Penny Nom lui répond. |
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The equation of a line |
2013-04-04 |
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Miranda pose la question : My coordinates provided are (6, 6) and (-8, 9) and i need to put this into ax=bx=c format. I remember the equation to find the slope of y2-y1/x2-x1 to get the slope. However when i put that back into the y=mx+b format it still leaves me with a lot of variables. Please help :) Penny Nom lui répond. |
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The distance between 2 lines in 4D |
2013-04-01 |
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samane pose la question : how can i measure the distance between 2 lines in 4D?? Chris Fisher lui répond. |
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We can't write sinx and cosx as a finite polynomial. |
2013-03-31 |
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rimoshika pose la question : prove that we can't write sinx and cosx as a finite polynomial. Walter Whiteley lui répond. |
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Simultaneous equations with fractions |
2013-03-31 |
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Terence pose la question : 5/x-6/y=1
17/x+30/y=16
I been spending whole day to solve this question. Would be very grateful if you can help I try
The denominator value is a equations term which make is simultaneous equations so hard. Penny Nom lui répond. |
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Tangents to the curve y = x^3 |
2013-03-24 |
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Ethan pose la question : How many tangent lines to the curve y = x^33 pass through the
point (2, 4)? For each such line, and the exact coordinates of the point of
tangency on the curve. Penny Nom lui répond. |
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A linear programming problem |
2013-02-27 |
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Kelley pose la question : A manufacturer of skis produces two types: downhill and cross-country. Use the following table to determine how many of each kind of ski should be produced to achieve a maximum profit. What is the maximum profit? What would the maximum profit be if the time available for manufacturing is increased to 48 hours.
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Downhill |
Cross-country |
time available |
manufacturing time per ski |
2 hrs |
1 hr |
40 hr |
finishing time per ski |
1 hr |
1 hr |
32 hr |
profit per ski |
$70 |
$50 |
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Penny Nom lui répond. |
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An equation with exponents |
2013-02-24 |
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Chelsea pose la question : (81 to the power of 3n+2 over 243 to the power of -n) is equal to 3 to the power of 4
Find the value of n.
The answer I got was n is equal to negative (4 over 7).
The answer in my text was n is equal to negative (4 over 17) Penny lui répond. |
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Write a rule for the sequence |
2013-02-20 |
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Angelia pose la question : Write a rule for the sequence. Then, find the unknown term. 1 3/8, 1 ¾, 2 1/8, _______, 2 7/8 Think: The pattern is increasing. Add 1/6 to find the next term. Rule: _______________ Penny Nom lui répond. |
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Extraneous solutions |
2013-02-18 |
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Eileen pose la question : (5x+4)^1/2-3x=0 Penny Nom lui répond. |
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A word problem involving toys |
2013-02-14 |
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sandy pose la question : Each boy gets 5 toys.Each girl gets 3 toys.There are 150 pupils.
The boys had 74 more toys than girls.
How many boys?
How many girls? Penny Nom lui répond. |
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Dropping supplies from an airplane |
2013-02-14 |
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Claire pose la question : An airplane flying at an altitude of 3500 feet is dropping supplies to researchers on an island. The path of the plane is parallel to the ground at the time the supplies are released and the plane is traveling at a speed of 300 mph.
a) write the parametric equations that represent the path of the supplies
c)How long will it take for the supplies to reach the ground?
d) how far will the supplies travel horizontally before they land? Penny Nom lui répond. |
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Is a line lying in a plane an open or a closed region? |
2013-02-13 |
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pardeep pose la question : please help with this question on the open and closed intervals ::
Is a line lying in a plane an open or a closed region? my teacher says it is a closed region reasoning out that it contains all it boundary points. please help how is it so? Harley Weston lui répond. |
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Simultaneous equations |
2013-02-10 |
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Michael pose la question : 2P + 1/3V =8
3P - 2/V=5 Penny Nom lui répond. |
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The height of a sheet metal cone |
2013-02-09 |
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Charles pose la question : Sheet metal cone.
I need a cone with a finished base of 38.19719 diameter
The cone is to be from a 48 diameter round with the wedge cut out.
The best calculation I have is the arc is 286.479. (correct?)
Could you verify this arc angle but more so what is the cone height? Harley Weston lui répond. |
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Exponential form |
2013-02-05 |
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Sandra pose la question : What is 37,008 in exponential form? Help me please!!! Penny Nom lui répond. |
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The fourth side of an irregular polygon |
2013-02-01 |
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Emran pose la question : I have a irregular polygon. I know 3 of the 4 sides, and 2 of the angles. A-B is 285, B-C is 149, and C-D is 310. Angle B is 135 degrees. and Angle C is 45 degrees. Is there a formula to solve for the final side? Thanks. Penny Nom lui répond. |
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How many edges does cone have? |
2013-01-28 |
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Meriem pose la question : how many edges does cone have pls? Lorraine Dame, Chris Fisher and Walter Whiteley lui répond. |
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A geometry word problem |
2013-01-24 |
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Matthew pose la question : "G", "A" and "B" are collinear. "A" is between "G" and "B". "GA" Is 14 less than 3 times "AB". "GB"=46 Find "GA"
How would you solve this? Penny Nom lui répond. |
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A triangular island |
2012-12-29 |
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Udit pose la question : A long time ago Mr Gibson found an island shaped as a triangle with three straight shores of length 3 km,4 km and 5 km. He declared an 'exclusion zone' around his island and forbade anyone to come within 1 km of his shore. What was the area of his exclusion zone? Penny Nom lui répond. |
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Solve 2x^4+x^3-37x>26x^2+12 using a graphical approach. |
2012-12-29 |
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Tehmas pose la question : Solve 2x^4+x^3-37x>26x^2+12 using a graphical approach.
I don't know how to find the x-intercepts or y-intercepts in this form. Penny Nom lui répond. |
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A 4 digit phone lock using the digits 4, 2, 3 and 0 |
2012-12-24 |
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Ragu pose la question : I would like to know formula for searching a combination of 4 digit. eg.
I knew my Phone Lock combination is my car plate number 4230. But
this time, i used another way around instead of 4230.
But I am sure, there is only this 4 digits only. 4 & 2 & 3 & 0 Penny Nom lui répond. |
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Sinx=logx+x^2 |
2012-11-28 |
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yasmin pose la question : Sinx=logx+x^2 Harley Weston lui répond. |
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-5<2x+1<-1 |
2012-11-11 |
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Rahul pose la question : How does -5<2x+1<-1 changes to 1<|2x+1|<5. What is the rule?
Can we apply absolute value function throughout the first inequality i.e. can we say |-5|<|2x+1|<|-1|. But then it becomes 5<|2x+1|<1 which is impossible because 5 is not less than 1. Penny Nom lui répond. |
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What's your secret? |
2012-11-11 |
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ryan pose la question : Tuscan school has a fair. At the fair, Pia plays "what's your secret?
The game starts with 3 players who are told the same secret.
Each of those 3 players tells another 3 player, and so on.
At the end of the 3rd round, everyone who knows the secret
will compare what they have heard. What number in exponent form
represents the number of people who know the secret after 3 rounds?
How many people is that?
Thank you very much.
P.S. I got 3 cube. which is 27
But when i map it out I end up with 39. Penny Nom lui répond. |
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How fast is the distance between the aircraft and the car increasing? |
2012-10-24 |
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Steven pose la question : At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the car increasing 36 seconds after the aircraft passes directly over the car? Penny Nom lui répond. |
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A label to cover a plastic cup |
2012-10-23 |
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Kevin pose la question : I'm trying to make a label to cover the entire outer area or a plastic cup. I know there must be a way to figure out the dimensions needed, but I can't seem to figure it out. The circumference of the bottom of the cup is 21.4cm and the circumference at the top of the cup is 29.8cm. The cup is 14.5cm tall. What should the height of the arc from the plane connecting the two ends of the 21.4cm arc. I attached a diagram where x is the value I'm looking for. I'm guessing there is some simple relationship between the length of a line and the arc needed to turn that line into a perfect circle, but I don't know what it is. Can you figure this out and share it with me? Thanks.
-Kevin Penny Nom lui répond. |
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A proof by contraposition |
2012-10-19 |
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Rahul pose la question : I am not able to understand the following,
To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|=
Thanks in advance!'
Rahul. Penny Nom lui répond. |
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The nth term of a sequence |
2012-10-19 |
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Emily pose la question : I don't understand how to do this question:
Nth term for 9, 7, 5, 3, 1
Is there a fast way to do nth term for this question? Or in fact any question? Penny Nom lui répond. |
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Composition of functions and one to one |
2012-10-17 |
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Ariana pose la question : If f o g are one to one function,does it follow that g is one to one? Give reasons for your answers Penny Nom lui répond. |
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A tank with an inner walled compartment |
2012-10-12 |
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don pose la question : I have a tank 20 feet diameter, 19' 8" tall with an inner walled compartment that has a 7' 6" radius arc with in the tank. I need to figure out the volume of the inner area and the volume of the larger area. Harley Weston lui répond. |
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A word problem involving a fraction |
2012-10-12 |
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Derrick pose la question : If the numerator and denominator of a fraction are both decreased by 1 the fraction becomes 2/3. If the numerator and denominator are both increased by 1 the fraction will be 3/4. Find the original fraction. How to do? Penny Nom lui répond. |
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GST in New Zealand |
2012-10-10 |
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Colleen pose la question : I work out my claimable gst each month but need to know the total sales or purchases amounts for filling in my six monthly paper work. How do I do that. I tried doing the opposite of calculating the gst i.e. x3 and /23 but it is slightly different to my total. Penny Nom lui répond. |
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A problem that yields a linear equation |
2012-10-07 |
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Eshraj pose la question : one fourth of a whole number is three more than one fifth of the next whole number.find the whole number Penny Nom lui répond. |
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Changing the sign of an inequality |
2012-09-19 |
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Bryauna pose la question : Why do you change the signs in inequalities?! Penny Nom lui répond. |
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Functions |
2012-09-18 |
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nayeem pose la question : I tried with many functions but I am not getting the exact values please help me
A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}?
B Give an example of a function whose domain equals (0,1)and whose range equals [0,1]
C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers
D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers
E give an example of function whose domain is the set of integers and whose range is the set of positive integers.
F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers.
please show me the work
Please give me the trick of finding such functions Robert Dawson and Harley Weston lui répond. |
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Functions |
2012-09-18 |
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nayeem pose la question : I tried with many functions but I am not getting the exact values please help me
A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}?
B Give an example of a function whose domain equals (0,1)and whose range equals [0,1]
C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers
D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers
E give an example of function whose domain is the set of integers and whose range is the set of positive integers.
F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers.
please show me the work
Please give me the trick of finding such functions Robert Dawson and Harley Weston lui répond. |
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Cones, pyramids, cylinders and prisms |
2012-09-13 |
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Roy pose la question : I read on this page that a pyramid is a special kind of cone, but a cone is not a pyramid. Does this apply to cylinders. Is a prism a special kind of cylinder, but a cylinder is not a prism? Robert Dawson lui répond. |
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Row echelon form |
2012-09-05 |
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Jennifer pose la question : Hello, my name is Jennifer. I am a 12th grader in Pre-Calculus and I was wondering if you may help me with Row Echelon Form.
x + 2y - 3z = -5
-2x - 4y - 6z = 10
3x + 7y - 2z = -13 Penny Nom lui répond. |
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A tangent to f(x) = 1/x |
2012-09-04 |
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Steven pose la question : Consider the graph of the function f(x) = 1/x in the first quadrant, and a line tangent to f at a point P where x = k. Find the slop of the line tangent to f at x = k in terms of k and write an equation for the tangent line l in terms of k. Penny Nom lui répond. |
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Exponential form |
2012-09-04 |
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angie pose la question : How do i write 9^-5 in exponential form? Penny Nom lui répond. |
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Exponntial form |
2012-08-30 |
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Robin pose la question : My math teacher has asked the question:
"Write mmmxxjmyy2 in exponential form"
How would you solve this problem? Penny Nom lui répond. |
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Making a wind sock |
2012-08-28 |
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John pose la question : I am trying to build a wind sock and need to be able to lay the shape
out on cloth. I need the wind sock front opening (diameter) to be
3 1/2" and the rear opening diameter to be 1". The windsock needs
to be 9 1/2" long. I tried using the example of the person trying to
make a crayfish trap but got confused and could not figure out my
numbers. Any help would be greatly appreciated.
Thanks
John Penny Nom lui répond. |
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Problem solving |
2012-08-15 |
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Sugavanas pose la question : If length of a rectangle exceeds its width by 5 m. if the width is increased by 1m and the length is decreased by 2 m, the area of the new rectangle is4 sq m less than the area of the original rectangle. Find the dimensions of the original rectangle. Penny Nom lui répond. |
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The exponential function form f(x)=a^x |
2012-08-13 |
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Lucy pose la question : Hi,
Why does the "a" value in the exponential function form f(x)=a^x have to be negative? Penny Nom lui répond. |
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A plane travelling with the wind and against the wind |
2012-08-03 |
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Gwen pose la question : The time of a plane trip of 450 miles, with the wind is 3/5 the time of the return trip against the wind. If the plane travels 120 mph in still air, what is the wind speed? Penny Nom lui répond. |
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John's electronic store |
2012-07-25 |
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Jora pose la question : Electronic Store
John opened an electronic store in December. During his first month,
He sold 10 LCD TVs and 20 Plasma TVs. His income during that
month was $12800. In January, he sold 25 LCD TVs and 40 Plasma
TVs for an income of $27600.
In February he projects to sell 30 LCD TVs and 50 Plasma TVs.
If John expenses are $28900 in February, how much money will he
have after paying the expenses? Penny Nom lui répond. |
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A pile of topsoil |
2012-07-23 |
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Perry pose la question : I have a pile of topsoil that is 42ft long and 16ft tall shaped like a cone how many yards of topsoil do I have. Penny Nom lui répond. |
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Fence post holes |
2012-07-19 |
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Gerry pose la question : Hello, I'm digging 30 8" dia holes, 5 ft deep for fence posts that are 4"x 4" Can you please help me figure out how much stone dust I should order for all 30 holes. Thanks Penny Nom lui répond. |
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A truncated cone: the central angle |
2012-07-17 |
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Tom pose la question : I have researched several sites, including this one and am fairly confident I can do the calculations required to produce the two radii and the slant height for a truncated cone.
I a somewhat confused by the central angle. Some sites indicate that it should never exceed 180 degrees while others do not. Different examples on your site seem to use this in two different ways in constructing a truncated cone.
Sometimes the angle seems to indicate the section to be removed, while in other examples the angle seems to indicate the section to be saved. Since the two angles will always total 360 I am confused about how to use the info to
calculate the minimum rectangle required to contain the pattern. I'm guessing that in some cases I may need to use the chord or sagitta to determine the desired height and width of the material. Any help is greatly appreciated.
Thank you.
Tom Penny Nom lui répond. |
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2x+underroot2=3x-4-3underroot2 |
2012-07-09 |
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Eshraj pose la question : 2x+underroot2=3x-4-3underroot2 Penny Nom lui répond. |
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Expanded exponential form? |
2012-06-12 |
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Ramon pose la question : express the numbers 990 614 000 005 in expanded exponential form. Harley Weston lui répond. |
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The position of an aircraft relative to the airport |
2012-06-08 |
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Dennis pose la question : "Air traffic controllers usually describe the position of an aircraft relative to the airport by altitude, horizontal distance, and bearing. Suppose an aircraft is at altitude 500m, distance 15km, and bearing 35 degrees east of north. What are the x,y, and z components (in meters) of the position vector. The x-axis is east, the y-axis is north and the z-axis is vertical. Penny Nom lui répond. |
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A lamp shade |
2012-05-15 |
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Fleur pose la question : I am helping my child make a cone lampshade, the measurements are as follows in "cm's"
21 cm = height
8 cm = top diametre
40 cm = bottom diametre
Please could you give the pattern (cut out) dimensions for final cut. Penny Nom lui répond. |
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cos(theta/30) = 1 |
2012-05-14 |
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Hope pose la question : cos (theta / 30 = 1
I am very confused as to how to solve it. Can you help? Penny Nom lui répond. |
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An equation of the form y=mx |
2012-04-17 |
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Samiya pose la question : what would be an equation of the form y=mx with the points (-2, 6) and (1, -3) for the line? Penny Nom lui répond. |
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Using Newton's Method to find a root |
2012-04-09 |
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Nancy pose la question : Use Newton's method to find the real root function, accurate to five decimal places
f(x) = x^5+2x^2+3 Penny Nom lui répond. |
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The spread of a rumor |
2012-04-09 |
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Roohi pose la question : The function f(t) = a/(1+3e^(-bt)) has also been used to model the spread of a rumor. Suppose that a= 70 and b=3 0.2. Compute f(2), the percentage of the population that has heard the rumor after 2 hours. Compute f'(2) and describe what it represents. Compute lim t approaches infinity and describe what it represents. Penny Nom lui répond. |
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Radioactive decay |
2012-04-02 |
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Christy pose la question : Hello, how do I go about answering this question?
Should I be using the formula Ce^(kt)?
Given that the decay constant for Radium is -.000428/year, how long, to the nearest year, does it take a sample to decay to 15% of its present mass? Penny Nom lui répond. |
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The equation of a line |
2012-03-26 |
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Danielle pose la question : Hello, could you help me figure out what the equation of the line is in the form of Ax+By=C with the points (-2,0) and (0,3)?
Thank You! Penny Nom lui répond. |
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A cubic inequality |
2012-03-25 |
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Victoria pose la question : The flight path of a bumblebee above the ground can be modelled by the function f(x)= 2x^3- 17x^2+ 11x + 130. Where x is the time in seconds and f(x) represents the height in inches above the ground. The entrance to the bee's hive is located 100 inches above the ground. Determine when the bumblebee's height is greater than 100 inches. The bee's height was monitored from 0 to 25 seconds inclusive. (over the domain 0 Penny Nom lui répond. |
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A vertical line passing through (10,4) |
2012-03-16 |
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Isabelle pose la question : Hi! My question is this:
Write the equation of each line described:
A vertical line passing through (10,4)
I would really appreciate your help!
Thanks,
Isabelle Penny Nom lui répond. |
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Forming a triangle from 3 line segments |
2012-03-15 |
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rustom pose la question : A point X is selected at random from a line segment AB with midpoint 0. Find the probability that the line segments AX, XB, and A0 can form a triangle. Penny Nom lui répond. |
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A water tank is in the shape of a truncated cone |
2012-03-08 |
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Victoria pose la question : Suppose you have a water tank in the shape of a truncated cone. The larger diameter is K, the smaller diameter is K/2, and the height is also K (all measured in meters). The force of gravity on an object of mass, m, is F=9.8m (measured in Newtons). The density of the water is 1000 kilograms per cubic meter. What is the volume of the tank and how much mass will the tank have when it is full? Penny Nom lui répond. |
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81+8 to the 3 power |
2012-03-08 |
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KiMesha pose la question : 81+8 to the 3 power Penny Nom lui répond. |
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2x^3*2x^2/3x^2 |
2012-03-06 |
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hope pose la question : 2x^3*2x^2/3x^2 Penny Nom lui répond. |
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The dimensions of a conical tent |
2012-03-04 |
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yash pose la question : a conical tent is to accommodate 11 people.Each person must have 4m square of space on the ground and 20m cube at air to breathe.Find the height and radius of the conical tent.26202 Penny Nom lui répond. |
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Integral 1/(25-x^2)^3/2 |
2012-02-22 |
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John pose la question : Integral 1/(25-x^2)^3/2 Harley Weston lui répond. |
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A cylindrical container |
2012-02-14 |
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KRIS pose la question : YOU ARE PaCKAGING 4 EQUAL SIZED PAINT CANS WITH A RADIUS 8CM AND A HEIGHT OF 20CM, IN A CIRCULAR CONTAINER.What is the surface area of the packing container? Penny Nom lui répond. |
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The curvature of the earth |
2012-02-08 |
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sean pose la question : Question from sean, a student:
Two people 1.8 metres tall walk directly away from each other until they can no longer see each other (due to the curvature of the earth, which has a radius of about 6378 km).
A) Find a function relating the height of two identical objects with the distance between them using the scenario above as an example.
B) Sketch this function (you may use Graphmatica if you wish). Over what domain and range does the function exist?
C) Describe this relation in practical terms. Harley Weston lui répond. |
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Building a tipi |
2012-01-29 |
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Lacy pose la question : Hi there!
We are building a tipi for our children. We want to build a large one about 15ft tall with a base of about 15 feet diameter. I am trying to figure out how much canvas we need to accomplish this. I graduated about 20 years ago and am struggling. Please help if you can. Penny Nom lui répond. |
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Tangent of theta |
2012-01-17 |
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stahl pose la question : explain what the 'tangent of theta' means. Draw and label a diagram to help with your explanation. Harley Weston lui répond. |
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Exponential form |
2012-01-15 |
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Helen pose la question : How do you write (1/x) in exponential form? Penny Nom lui répond. |
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Four apples and two oranges cost Rs. 30... |
2012-01-13 |
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nasr pose la question : Four apples and two oranges cost Rs. 30, and one apple and 3 oranges costs Rs.15.How much does each apple and each oranges cost? Harley Weston lui répond. |
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An equilateral triangle and some circles |
2012-01-10 |
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tushar pose la question : draw an equilateral triangle with side 6cm.draw 3circles with radii 3cm on each angular point of triangle.draw common tangent on each of two circles Penny Nom lui répond. |
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A straight line distance |
2012-01-06 |
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Margaret pose la question : If you traveled 300 miles east and 275 miles north, how many miles would you save by going in a straight line? Penny Nom lui répond. |
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The volume of a frustum of a cone |
2011-12-24 |
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CV pose la question : If I know the height, taper, and volume of a frustum cone,
what are its Radii?
Calculating frustum cone volume is straight forward.
v=Pi/3*h*(R*R+r*r+R*r) where;
v=volume;
h=frustum height;
R=major radius;
r=minor radius;
Pi=3.1415926;
t=taper, ('slant angle' where t=0 is a disk)
Here is the tricky part.
Knowing 'h', 't', & 'v';
Calculate one or both of 'R' & 'r'.
Specifically, what is the formula for 'R=' or 'r='? Penny Nom lui répond. |
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Three sides of a triangle |
2011-12-24 |
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saba pose la question : the three sides of a triangular lot have lengths 10,11and 13cm,respectively.
find the measure of its largest angle and the area of the lot? Penny Nom lui répond. |
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Water is flowing into a cup |
2011-12-19 |
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Tim pose la question : A cup has a radius of 2" at the bottom and 6" on the top. It is 10" high. 4 Minutes ago, water started pouring at 10 cubic " per minute. How fast was the water level rising 4 minutes ago? How fast is the water level rising now? What will the rate be when the glass is full? Penny Nom lui répond. |
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Augmented matrix |
2011-12-14 |
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Britney pose la question : Write Augmented matrix and use row reduction to solve.
I need major help with this problem! Tomorrow is my semester test and I have no idea how to do this.
2x+5y=8
y-x=10 Robert Dawson lui répond. |
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Exponential form |
2011-12-12 |
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Zoey pose la question : What is the exponential form of 1/8?? Penny Nom lui répond. |
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A railway bridge over a road is in the shape of a parabola |
2011-11-23 |
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Brennen pose la question : A railway bridge over a road is in the shape of a parabola,
and the bridge is 3 m high in the middle and 6 m wide at its base.
A truck that is 2m wide is approaching the bridge.
What is the maximum height that the truck can have and
still pass under the bridge? Explain.
Thank you!! Penny Nom lui répond. |
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I started with Euler's identity and manipulated it |
2011-11-14 |
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anonymous pose la question : I started with Euler's identity and manipulated it
e^i*pi=-1
e^-i*pi=(-1)^-1
e^-i*pi=-1
e^-i*i*pi=(-1)^i
e^--pi=(-1)^i
e^pi=(-1)^i
type it in in a calculator and you get e^pi=23.1406926... and
(-1)^i=0.0432139183... What did I do wrong? Robert Dawson lui répond. |
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Lines tangent to y^2=4x |
2011-11-11 |
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Reuchen pose la question : Find equations of the lines tangent to y^2=4x and containing (-2,1). Penny Nom lui répond. |
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A log equation in exponential form |
2011-11-11 |
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Sarah pose la question : Express the equation in Exponential form
log2 to the 16th power=4 Penny Nom lui répond. |
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The slope of a line |
2011-11-10 |
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Sara pose la question : Line k lies in the xy-plane.
The x-intercept of line k is -4.
And line k passes through the midpoint of the line segment whose endpoints are (2,9) and (2,0).
What is the slope of line k?
Give the answer as a fraction. Penny Nom lui répond. |
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A spherical ball in a conical wine glass |
2011-10-26 |
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Jules pose la question : A heavy spherical ball is lowered carefully into a full conical wine
glass whose depth is h and whose generating angle (between the axis
and a generator) is w. Show that the greatest overflow occurs when the
radius of the ball is (h*sin(w))/(sin(w)+cos(2w)). Claude Tardif lui répond. |
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Linear equations |
2011-10-06 |
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Hannah pose la question : I am confused about a question on my homework, here is an example on what I need to do:
You own a sightseeing boat tour. Kids' admission costs $5, adults' admission costs $8.
During that day you get (made-up number) $521 with 71 admissions.
How many of each passenger boarded?
I tried something like
5x + 8y = 521
x + y = 71
But, I still don't understand how to solve it! Help? Penny Nom lui répond. |
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Exponential form? |
2011-08-30 |
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Emily pose la question : I have a 6th grader that needs to find out what is the exponential form of 461,885,811 Penny Nom lui répond. |
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A pattern for a cone |
2011-08-30 |
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Izzy pose la question : I need to create a cone as a prop and my math is not good enough to create the pattern.
Here are my instructions :
The diameter is 2'5" and it has to be 4 feet tall. It is a giant cone. I want it to be pointy at the end, not truncated. Penny Nom lui répond. |
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Exponential form |
2011-08-23 |
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kiara pose la question : The African bush elephant is the largest land animal and
weighs about 8 tons . Write the amount in exponential form . Robert Dawson lui répond. |
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Two line segments in the plane |
2011-08-15 |
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Tim pose la question : For this problem I actually have tried to visualise the image in my head many times. This question makes my head spin.
Four points lie in a plane. They are partitioned into two pairs so that the sum of the lengths of the segments joining the points of each pair has the minimal possible value.
Prove that these segments have no common points. Chris Fisher lui répond. |
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A sequence |
2011-08-14 |
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intesar pose la question : how do i figure this out 0,1/6,2/9,3/12 Penny Nom lui répond. |
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The third term of a sequence |
2011-08-13 |
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sammantha pose la question : Find the 3rd term of the sequence, an=1.5(4)n - 1. Penny Nom lui répond. |
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A cone with an oval as a base |
2011-08-03 |
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Emily pose la question : Hi, I was wondering how to calculate the surface area of a cone with an oval as a base (which I think is referred to as an elliptic cone or something like that). I have the both the maximum and minimum radius as well as the height, but I don't have a slant height and I'm not sure how to calculate it and then calculate surface area. I would really appreciate some help. Thanks! Robert Dawson lui répond. |
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An equation in the form Ax+By=C |
2011-07-28 |
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Mike pose la question : I need to write an equation in the form Ax+By=C
The points I was given are (5,0) and (-3,5)
I know how to find the slope I got -5/8 and wrote it out as y=(-5/8)x+b however I'm not quite sure where to go from here.
Any help would be greatly appreciated. Penny Nom lui répond. |
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A stained glass lamp |
2011-07-25 |
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Guy pose la question : Like Kay, I also work in stained glass, but in 3-dimensions. I am
frequently asked to replicate lamp shades in stained glass where the
diameter of the top is different (narrower) from the diameter of the
bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,,
n-sided shades. Is there a formula I can use to determine the width
of the sides using the angle, if I remember correctly, I think it's
called theta. In other words, is there a formula where I can plug
in the angle which describes the arc of the circle. For instance, if
someone asks for a 7 sided shade, plugging in 51.43 (360/7). I
could then use that to determine the width at the top and bottom
rings to create the appropriate trapezoids. I've visited a few sites
so the formula looks like its a function of sin & cos but they are
presented like proofs for teaching. Your site appears to want to
actually answer questions without making the inquirer feel stupid. Harley Weston lui répond. |
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A linear equation with fractions |
2011-07-13 |
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Simon pose la question : I would like to ask if you would be able to explain : linear equation: 2 1/2 (X-1) - x+3 /3 = 4 , the first step shows multiplying by 2 then multiplying by 3. etc. What I don't understand is where the 2 in multiplying by 2 comes from? ( the three is pretty obvious being x+3 /3 (to get rid of the divided by) ) .
Thanks for your help. Penny Nom lui répond. |
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A line tangent to f(x)=1/x |
2011-06-05 |
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Michael pose la question : A line tangent to f(x)=1/x in the first quadrant creates a right triangle
with legs the x-axis and the y-axis. Prove that this triangle is always
2 square units regardless of where the point of tangency is. Penny Nom lui répond. |
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Exponential form |
2011-05-18 |
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Kara pose la question : How do I write this in exponential form?
log 1/8 = -3 Penny Nom lui répond. |
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Numbers with a digit 9 |
2011-05-13 |
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Veronica pose la question : How many numbers between 200 and 750 have a 9 for at least one of the digits? Penny Nom lui répond. |
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An exclusion zone around a triangle II |
2011-05-03 |
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Aishwarya pose la question : A long time ago Mr gibson found an island shaped as a triangle with three straight shores of length 3km, 4km and 5km. He declared an exclusion zone around his island and forbade anyone to come within 1km of his shore. What was the area of his exclusion zone?
This question was answered but did not understand the explanation. Robert Dawson lui répond. |
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The nth term |
2011-04-30 |
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Samantha pose la question : predict the general term, or the nth term, An for the sequence.
1/2,2/3,3/4,4/5,5/6 Penny Nom lui répond. |
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The radius of a cylinder |
2011-04-27 |
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Jazmin pose la question : Hi, I don't understand how to find the radius in a cylinder with only the surface area (143.7) and the height (0.8)? I know that the formula is 2pir2+2pirh, but I don't see how to isolate the r? I appreciate your help. Penny Nom lui répond. |
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(27^r^-1)^-2/3 |
2011-04-24 |
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Yung-Ju pose la question : (27^r^-1)^-2/3 Penny Nom lui répond. |
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Cone story problem |
2011-04-16 |
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Chelsea pose la question : There is a cone with a story problem that states only that the radius is the same as the altitude and that the slant height of the cone is 6cm. I have no idea how to figure this problem out. Penny Nom lui répond. |
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The volume of a flower pot |
2011-04-07 |
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kp pose la question : I have 2 flower pots with the following dimensions that I am trying to calculate the
volume of Soil I will need to fill them. pot #1 29"tall, top of pot 31.5 inches across( radius of 15.5") the bottom of the pot is 21"across (radius 10.5)
Pot #2 29"tall, top of pot 26 across (radius 13") the bottom of the pot 17'"a cross (radius 8.5")
thank you
KP Penny Nom lui répond. |
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Eliminate y |
2011-04-07 |
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Lynn pose la question : 2x + y = 8
y + 3z =5
z + 2w =1
5w + 3x = 9
Form three equations with y eliminated Penny Nom lui répond. |
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A conical container and a spherical balloon |
2011-04-06 |
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Steven pose la question : Water is running out of a conical container 12 feet in diameter and 8 feet deep (vertex down) and filling a spherical balloon.
At the instant the depth of the water in the cone is 4 feet, the radius of the sphere is approximately 4 feet.
The rate of change of the depth of the water in the cone at the instant is approximately ______________ times the rate of change of the radius of the balloon. Penny Nom lui répond. |
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A transversal |
2011-03-30 |
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Jillian pose la question : I don't understand finding angels in a transversal Penny Nom lui répond. |
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sin x = -0.25 |
2011-03-29 |
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Wayne pose la question : How do you solve for x in the equation sin x = -0.25
the answer is 3.394 and 6.030 but I don't know the steps they used to calculate this Penny Nom lui répond. |
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New Brunswick hst |
2011-03-25 |
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andy pose la question : what is the short formula to get the hst 13% out of the total price of an item Penny Nom lui répond. |
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Linear inequalities |
2011-03-25 |
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Alice pose la question : OK. I'm in algebra 1 and the linear inequality is
y<2x-1
y>2
I don't completely know how to graph y>2 and I'm getting really frustrated
Please help me in any way possible!
Thank You! Penny Nom lui répond. |
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The number of points on a line is equivalent to that of a surface |
2011-03-24 |
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Gary pose la question : I I was reading about how the number of points on a line is equivalent to that of a surface. This was done by taking any point on a line then taking alternating digits and making them as points on an x and y axis therefore points on a surface.The problem is as i see it if you just take a line then hold it over a surface you have just put the points on the line in a one to one correspondence with the points directly under it on the surface.Now you have all the rest of the surface which cannot be mapped onto the line since it is already used up.What am i missing? Penny Nom lui répond. |
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What is x to the power of 0? |
2011-03-23 |
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Jason pose la question : What is x to the power of 0? Robert Dawson lui répond. |
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6 faces and 8 corners |
2011-03-04 |
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noemi pose la question : jeff made a figure with 6 faces the figure has 8 corners all of the faces are the same size and shape what figure did jeff make Penny Nom lui répond. |
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A camera's line of sight |
2011-02-26 |
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MJ pose la question : A rocket that is rising vertically is being tracked by a ground level camera located 3 mi from the point of blast off when the rocket is 2 mi high its speed is 400mph At what rate is the (acute) angle between the horizontal and the camera's line of sight changing Penny Nom lui répond. |
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At what rate is the grain pouring from the chute? |
2011-02-26 |
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MJ pose la question : Suppose that grain pouring from a chute forms a conical heap in such a way that the height is always 2/3 the radius of the base. At the moment when the conical heap is 3 m high, its height is rising at the rate of 1/2 m/min. At what rate (in m^3/min) is the grain pouring from the chute? Penny Nom lui répond. |
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Cutting the top off a conical tent |
2011-02-22 |
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tom pose la question : how far from the top must you cut a conical tent in order to cut the
cloth in half... Penny Nom lui répond. |
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Making a truncated cone |
2011-02-18 |
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lisa pose la question : We need to make a cone that has the following dimensions.
14-3/8" diameter on large end
13-3/8" diameter on small end
4" tall
What are the dimensions I need to cut in order to make a cone with one seam? Stephen La Rocque lui répond. |
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Two conical tanks |
2011-02-17 |
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rustom pose la question : Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe.
One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft.
The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft.
If the water is allowed to flow through the connecting pipe, find the level to which
the water will ultimately rise in the empty tank (Neglect the water in the pipe.) Penny Nom lui répond. |
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Points on a graph |
2011-02-15 |
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Maggie pose la question : Which set of ordered pairs can be used to graph y = -2x-1.
A.(-5,9),(1,-3),(4,9) B. (-2,-5),(1,-1),(5,9)
C.(-2,-5),(0,-1),(4,-3) D. (-5,9),(-2,3),(4,-9)
I cannot figure it out. Could you help me? Penny Nom lui répond. |
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The equation of a circle |
2011-02-14 |
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Cristela pose la question : find the equation and all the information in General Form and Standard Form of the Circle that will passed trough the point (2,3) (6,1) (4,-3) Stephen La Rocque lui répond. |
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Calibrating a conical tank |
2011-02-05 |
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Bill pose la question : Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Stephen La Rocque and Penny Nom lui répond. |
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The nearest one and a half and the nearest inch |
2011-02-02 |
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Miranda pose la question : REASON:sarah gave the same answer when asked to round 4 seven eighth inches to the nearest one and a half and the nearest inch. explain why sarah is correct? Penny Nom lui répond. |
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A cone with a specific angle |
2011-02-01 |
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John pose la question : Hi my daughter came with a seemingly easy question (which to me it was not)
How to make/calculate a cone of a specific angle from top to bottom radius. Penny Nom lui répond. |
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(7cubed * 8(exponent6))exponent 6 |
2011-01-29 |
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Shalaine pose la question : What is the exponential form of (7cubed•8(exponent6))exponent 6? Penny Nom lui répond. |
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The sequence 2,3,5,5,8,7,11 |
2011-01-19 |
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taylor pose la question : number relationship in number sequence 2,3,5,5,8,7,11 Chris Fisher and Penny Nom lui répond. |
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Points with distance 5 from the point (-2, -1) |
2011-01-19 |
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Alexa pose la question : Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5. Penny Nom lui répond. |
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Flipping a cone over |
2011-01-17 |
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Fionna pose la question : The height of your cone is "x".
Holding the cone so that the vertex is at the bottom, fill it half full with water. The depth of the water is "1/2x".
Put a lid over the top, and flip it over.
What is the new depth of the water, now that the cone is flipped? Penny Nom lui répond. |
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What is next in the sequence? |
2011-01-13 |
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jodi pose la question : what is next in the sequence 1, 1/4, 1/9, 1/16, 1/25 Penny Nom lui répond. |
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The angle between a line and a plane |
2011-01-12 |
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tom pose la question : what are the angles of the diagonal of a rectangular parallelepiped 2in by 3 in by 4 in
makes with the faces...
You know this is a problem that I can't figure out ...I don't know where
the angle and the diagonals where? can you help me with this one? Penny Nom lui répond. |
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Line segments |
2011-01-04 |
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Izsak pose la question : What is the formula to find the number of segments that can be named by a given number of points on a line? Penny Nom lui répond. |
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A tangent line |
2011-01-03 |
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Amanda pose la question :
Question from Amanda, a student:
an equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is
(A) y=-6x-6
(B) y= -3x+1
(C) y= 2x+10
(D) y=3x-1
(E) y=4x+1 Penny Nom lui répond. |
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Exponential form |
2011-01-02 |
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jumana pose la question : find any five examples of exponential form from real life situation Penny Nom lui répond. |
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A truncated cone |
2010-12-31 |
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jagjeet pose la question : dear suppose i have cone of 50cm radius at base and 100cm radius at top at a height of 80cm. now keeping base radius of 50cm and height of 80cm i want to increase top radius to 150cm how will i do that. plz height m talking abt is vertical height not slant height Penny Nom lui répond. |
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An inequality |
2010-12-13 |
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jimmy pose la question : 1.7b-1.1 <2.3 Stephen La Rocque lui répond. |
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A water tank has the shape of a right circular cone |
2010-12-07 |
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mike pose la question : A water tank has the shape of a right circular cone with height 12 feet and radius 8 feet. Water is running into the tank so that the radius r (in feet) of the surface of the water is given by r=0.75t where t is the time (in minutes) that the water has been running. the volume V of the water is given by V=1/3 pi r^2h. Find V(t) and use it to determine the volume of the water when t=5 minutes. Penny Nom lui répond. |
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Simultaneous equations |
2010-12-05 |
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ryan pose la question :
Question from ryan, a student:
3 4
-- - -- = 1 (1)
x y
7 2 11
-- - -- = -- (2)
x y 12 Chris Fisher and Stephen La Rocque lui répond. |
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Can determine if it is scalene, isosceles, or equilateral |
2010-12-01 |
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Jessie pose la question : find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(-3,2) P(2,1) L(-2,-3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Penny Nom lui répond. |
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Linear inequalities with absolute values |
2010-12-01 |
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ryan pose la question : Good day!
We we're given this assignment in algebra concerning linear inequalities with absolute value.
In this number I'm confused how to isolate the absolute value, considering there is a variable in the absolute value and there is a variable in the outside.
2+5 |4-3t|+t ≤ -3-4t Penny Nom lui répond. |
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What is its speed in still air? |
2010-11-28 |
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Shelby pose la question : An Airplane flies a certain distance in 3 hours going WITH a 40km/hr wind. It travels the same distance in 5 hours when going against the wind. What is it's speed and how long would it take to travel the same distance in still air? Distance = speed x time Penny Nom lui répond. |
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How long will you and your friend be able to talk? |
2010-11-23 |
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beket pose la question : you and your friend leave your home town at the same time your friend travels by train 45 mph directly east while you travel by train 50 mph going directly south you are talking on cell phone but you plan charges extra if the phones are 100 miles apart. How long will you and your friend be able to talk before the charges increase? Penny Nom lui répond. |
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How far must the pitcher travel to get to the ball? |
2010-11-04 |
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ken pose la question : A baseball player bunts a ball down the first base line. It rolls 35ft at an angle of 26 degrees with the first base path. The pitchers mound is 60.5 ft from the plate. How far must he travel to get to the ball. Penny Nom lui répond. |
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What is the speed of each car? |
2010-11-04 |
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Jennifer pose la question : two cars are 420 miles apart and traveling towards each other along the same road. They meet in 3.5 hours. One car is traveling 15mph slower than the other. What is the speed of each car?
This must be solved using a system of equation, I have no idea? Stephen La Rocque lui répond. |
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Two algebraic expressions |
2010-10-29 |
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chaptay pose la question : what is the difference between x(n^2) and x(n)^2 Penny Nom lui répond. |
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A rectangle with rounded corners |
2010-10-21 |
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Connie pose la question : How do you find surface area if the rectangle is 100ft. by 200ft. with quarter circles in the corners with a radius of 20ft. ? Penny Nom lui répond. |
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Powers |
2010-10-20 |
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dylan pose la question : how do you write 20736 in exponential form .same for 1728 and 50625.
is there a formula to figure out how to express large know numbers in exponential form. Penny Nom lui répond. |
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An exponential equation |
2010-10-19 |
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Sandi pose la question :
Question from sandi, a student:
I have several questions similar to this one and was wondering if you could walk me through this one. I'm totally lost on how to do it.
Paramecia reproduce by splitting in two. In a laboratory flask, a colony of paramecia had an initial population of 500. Each day, the population of the paramecia was counted. The results are as listed.
Time (in days)------Population
0-----------------------500
1-----------------------600
2-----------------------720
3-----------------------864
4----------------------1037
5---------------------1244
6---------------------1493
7----------------------1792
8---------------------2150
1.)Using graphing calculator make a scatter plot of the data in table.
I think I did this part right I set my window at Xmin=0 Xmax=10 Xscl=1 Ymin=0 Ymax=2500 Yscl=100 Xres=1
2.) Determine an exponential equation to represent the population as a function of time without using a graphing calculator.I have no clue how to do this.
3.)Suppose the flask and food supply is large enough to support the trend of the population growth. Estimate the population of the colony when the time is 10 days. Penny Nom lui répond. |
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The equation of a line |
2010-10-19 |
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Sava pose la question : I have to write an equation and sketch a graph for the line that meets the given conditions:
A line with slope -15/5 that passes through the point (-2.5,4.5) Penny Nom lui répond. |
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The angles in an m-gon and genrealizations |
2010-10-16 |
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Michael pose la question : Hello:
In answer to a student's question, someone named Penny from
your organization provided a proof that the sum of the interior
angles of a triangle in the plane is pi radians (or 180 degrees).
I am interested (and I'm sure many other people would be too) in
3 potential generalizations of this basic fact in plane geometry: Walter Whiteley lui répond. |
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A linear system |
2010-10-15 |
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Sandy pose la question : HARD!! algebra (Linear Systems) question?
An Airplane cruises at 120km/h in still air. One day, when the wind was blowing steady from the west, the airplane travelled west (flying into the wind) and landed at its desination after 1.5h. The airplane's return trip (flying with the wind) was only 1.0 h long. On both legs, the airplane travelled at its cruising speed. (meausred with respect to the air surrounding the airplane).
Part A
Write a System of equations that would allow you to determine the speed of the wind blowing that day and the distance travelled each way
Part B
When solving the system of equations graphically, what equations would you enter into the equation editior (to make graphs on your calculator)
Part C
Indicate what the X and the Y represent Stephen La Rocque lui répond. |
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Two jets leave denver at 9 am. |
2010-10-15 |
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Carl pose la question : two jets leave denver at 9 am. One flying east at a speed of 50 km per hour greater than the other which is traveling west. At 11 am the planes are 2500 km apart. Find their speeds. Stephen La Rocque lui répond. |
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Mathematics and medicine |
2010-10-13 |
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Dixie pose la question : need equations used in medicine for medicine and intravenous administration Penny Nom lui répond. |
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Can a function be both even and one to one? |
2010-10-09 |
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Tracy pose la question : Can a function be both even and one to one? Harley Weston lui répond. |
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Exponential form |
2010-10-06 |
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celina pose la question : what is the exponential form of 4x*4x Penny Nom lui répond. |
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rat sequence |
2010-09-24 |
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Vishal pose la question : this is known as rat sequence. I want to know the logic pf this :-
1,2,4,8,16,77,145 Chris Fisher lui répond. |
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A Squared Number That's Negative |
2010-09-22 |
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David pose la question : What is the only number that when it's squared becomes negative? Stephen La Rocque lui répond. |
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Limits |
2010-09-20 |
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rodrigo pose la question : what's the limit of x+1/x-1, when x tends to 1? Janice Cotcher lui répond. |
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Six nines |
2010-09-16 |
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Steph pose la question : It's sort of one question. We have to use six nines to get the numbers 1-30. I got all but 22, 23, 24, and 30. Like 15 is 9+9-(9+9+9)/9. Penny Nom lui répond. |
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A strip of land |
2010-09-15 |
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Walter pose la question : How many linear feet of strip of land 15 feet wide does it take to make 1 acre? Penny Nom lui répond. |
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La racine carrée et l'exposant une demie |
2010-09-14 |
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Alain pose la question : Bonjour.
Je cherche une explication sur l'équivalence entre les exposants
fractionnaires et les racines nième.
Par exemple, comment prouve-t'on que la racine carrée correspond à
l'exposant une demie?
merci Pierre-Louis Gagnon et Claude Tardif lui répond. |
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(5xy)^5 |
2010-09-10 |
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ana pose la question : (5xy)^5 Penny Nom lui répond. |
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A building and a flag pole |
2010-09-09 |
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paul pose la question : A flag pole and a building stand on the same horizontal level. From the point p at the bottom of the building,the angle of elevation of the top t of the flag pole is 65 degrees. From the top q of the building the angle of elevation of the point t is 25 degrees.If the building is20 meters high. Calculate the distance pt Penny Nom lui répond. |
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A logarithmic equation |
2010-09-08 |
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Rohit pose la question : x^2 + k*ln(x) - c - k = 0
Where k and c are constants. Penny Nom lui répond. |
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What is -2^2? |
2010-08-25 |
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alex pose la question : I know that (-2)^2 is 4 but what is -2^2? Robert Dawson and Penny Nom lui répond. |
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Exponential form |
2010-08-24 |
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Courtney pose la question : What the Exponential form? For Ex. X2*X5*X4?? Penny Nom lui répond. |
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Remainders |
2010-07-17 |
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GARY pose la question : WHAT NUMBER DIVIDED BY 11 LEAVES 1, DIVIDED BY 13 LEAVES 8, AND DIVIDED BY 17 LEAVES 3. Chris Fisher lui répond. |
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A play tent |
2010-06-28 |
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Susan pose la question : Hi!!!
I am making a play tent as seen at the link below and need to figure out how to get the dimensions for the cone shape. The one shown has 4 different seams, but I guess I can get away with just one seam to sew it together (?) I need it to go over a hula hoop as that is what I am using for the round support at the top. My hula hoop is
35" in diameter from outside edge to outside edge. I would like the height of the teepee to be around 30" from the center to the peak.
Thanks so much, oh my gosh, I have been fretting for 2 days about this and my hair is about to fall out!!!!
Please contact me if you need any additional info.
~Susan
http://www.landofnod.com/family.aspx?c=52&f=4100 Penny Nom lui répond. |
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The intersection of two graphs |
2010-06-27 |
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Austin pose la question : In depth explanation of how to find the intersection points of functions y=-4t+300 and y=-4.9(t-5)^2+300 Stephen La Rocque lui répond. |
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Volume of a styrofoam cup |
2010-06-23 |
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Stacy pose la question : how do you find the volume of a truncated cup with height of 3, top diameter of 2.5, and a bottom diameter of 2 Penny Nom lui répond. |
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A linear relationship |
2010-06-22 |
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Laura pose la question : The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $300 to drive 480 miles and in June it cost her $460 to drive 800 miles.
Question: Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. Robert Dawson lui répond. |
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Exponential form |
2010-06-16 |
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charlotte pose la question : what is the exponential form of 6x6x6x5x5x5x5= Robert Dawson lui répond. |
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My phone is "sim locked" |
2010-06-10 |
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Daniel pose la question : Question from daniel:
got a phone that says sim locked, it requires 0-9 digit code to get in, how many combinations could there be if you could please list the possibilities, the number can be repeated. Penny Nom lui répond. |
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Graphical Representation of Complex Numbers |
2010-06-08 |
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Anas pose la question : why do we write complex number a+ib as (a,b)? Janice Cotcher lui répond. |
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4 > -3m-7 >= 2 |
2010-06-05 |
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pamela pose la question : The question is
4>-3m-7>=2 Penny Nom lui répond. |
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graph y=(2x^2-3x)e^ax |
2010-05-31 |
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James pose la question : graph y=(2x^2-3x)e^ax Robert Dawson lui répond. |
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x/a +y /b =a+b : x/a^2+ y/b^2 =2 |
2010-05-30 |
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smithu pose la question : x/a +y /b =a+b : x/a2+ y/b2 =2 solve by using elimination method ,
cross multiplication, substitution method Penny Nom lui répond. |
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More on a truncated cone |
2010-05-28 |
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Mike pose la question :
Question from Mike, a parent:
I was reviewing this question and answer:
http://mathcentral.uregina.ca/QQ/database/QQ.02.06/phil1.html
But I have trouble with this part:
Now if we express the radius of the inside circle as r and the outside circle's radius is R, then this means r/R is 911/1728. But earlier we said that the outside radius R is simply w more than the inside radius r, so R = r + 282. That means that r/R = r/(r + 282). Now we can simply solve the equation for r:
r/(r+282) = 911/1728
This means r = 314 mm (with rounding).
Can I get more detail on the method to solve for r?
Thank you,
Mike Penny Nom lui répond. |
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Graphing a linear inequality |
2010-05-26 |
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Valeie pose la question : When graphing a linear inequality, how do you know if the inequality represents the area above the line. Penny Nom lui répond. |
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Which values of x satisfy (x-2) / (x+4) <7 |
2010-05-23 |
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Rocco pose la question : Which values of x satisfy (x-2) / (x+4) <7 Harley Weston lui répond. |
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Extraneous solutions |
2010-05-22 |
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Joe pose la question :
Question from Joe, a parent:
w+3 2w
----- - ----- = 1
w2-1 w-1
W2 is = w squared
-4
The answer is w= ------
3
but have no idea how this was solved. any help is appreciated. Thanks. Penny Nom lui répond. |
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Line of sight |
2010-05-06 |
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David pose la question : I live in St. Joseph, Michigan and there is an ongoing argument regarding line-of-sight over the horizon.
Standing on a 200 foot high bluff here, people swear they can see the top of the Willis (nee Sears) Tower in Chicago, which is about 1653 feet high.
It is my contention that this is actually a "refracted reflection" and not direct-line-of-sight.
So, to settle the argument, I'd sure like some simple explanation for this, even if-and I hope not-I am incorrect.
David Harley Weston lui répond. |
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The "vertex" of a cone |
2010-04-27 |
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Tom pose la question : By definition a vertex is a point where three edges meet in a 3 dimensional object.
My ten year old son argues that the point at the top of a cone is not a vertex since it does not fit the definition. He got the answer wrong on a test recently but insists that he is right. I need a mathematician to answer this for him. Robert Dawson and Chris Fisher lui répond. |
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A champagne tower |
2010-04-16 |
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gabriel pose la question : thanks for having something like this up online. My question is how do i build a Champagne Tower that has 290 glasses and 15 stories high.
Please help me out. this is for a clarity function. Robert Dawson lui répond. |
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A tangent line to a circle |
2010-04-15 |
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Rhonda pose la question : The Greek method for finding the equation of the tangent line to a circle used the fact that at any point on a circle the line containing the reauis and the tangent line are perpendicular. Use this method to find an equation of the tangent line to the circle x^2+y^2=9 at the point (1,2 square root of 2). Penny Nom lui répond. |
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A sequence |
2010-04-13 |
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Essence pose la question : hello,
I am having trouble doing my math homework. It asks me to write the first five terms of each sequence .I can not figure it out because it is a fraction.
The Problem Is:
{2n+1/2n} Penny Nom lui répond. |
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A conical pile of gravel |
2010-04-13 |
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Chassity pose la question : The gravel pile is 120' around at the base and goes up 20' high at the peak. How many tons or yards of gravel in that pile? Penny Nom lui répond. |
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Exactly two lines of symmetry |
2010-04-11 |
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debbie pose la question : i am looking for a quadrilateral with exactly two lines of symmetry. please help! thank you. Tyler Wood lui répond. |
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If a third is a fourth of a number, what is the number? |
2010-04-08 |
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larry pose la question : If a third is a fourth of a number, what is the number? Penny Nom lui répond. |
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A max min problem |
2010-04-06 |
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Terry pose la question : The vertex of a right circular cone and the circular edge of its base lie on the surface of a sphere with a radius of 2m. Find the dimensions of the cone of maximum volume that can be inscribed in the sphere. Harley Weston lui répond. |
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A system of equations |
2010-03-30 |
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samantha pose la question : the equations of two lines are 6x-y=4 and y=4x +2.what is the value of x in the solution for this system of equations? Penny Nom lui répond. |
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The sides of a 30-60-90 triangle |
2010-03-29 |
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maris pose la question : Find the sides of a 30-60-90 triangle whose perimeter is 6. The solution must use systems of equations using 3 variables. Penny Nom lui répond. |
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A radio tower |
2010-03-26 |
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Alex pose la question : The height of a radio tower is 450 feet, and the ground on one side of the tower slopes upward at an angle of 10 degrees. How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 110 feet from the base of the tower? Harley Weston lui répond. |
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A negative times a negative |
2010-03-25 |
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priya pose la question : why is minus into minus plus? Harley Weston lui répond. |
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The angle of intersection between two lines |
2010-03-25 |
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Madhumitha pose la question : How to find the angle of intersection between a line x=249 and another line which is of the form y=m*x+c; Line1 has a slope of infinity so what does the angle of intersection turn out to be? Or how can i find it? Chris Fisher lui répond. |
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The line passing through (2,6) and (2,9) |
2010-03-24 |
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antoinette pose la question : the equation of a line passing through the points (2,6) and (2,9)? Penny Nom lui répond. |
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A champagne pyramid |
2010-03-22 |
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Kathy pose la question : I have 680 champagne glasses and my pyramid can only be 15 levels high. How many glasses need to be on each level? Is there a formula I can use? Robert Dawson lui répond. |
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A quadrilateral with 4 known sides and 1 known angle |
2010-03-19 |
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samuel pose la question : Name: Samuel
Status: Student
I have a quadrilateral with 4 known sides and 1 known angle, and I'm trying to evaluate the other angles of my quadrilateral.
By the law of cosines, I can easily find my opposite angle (using the diagonal as a basis for the equation).
However, to find the two remaining angles, I have found no other way so far than to use the other diagonal, which can be found with the equation attached (from geometry atlas).
Is there any simpler way? Robert Dawson and Harley Weston lui répond. |
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A quadratic equation |
2010-03-15 |
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rachelle pose la question : under certain condition, it is found that the cost of operating an automobile as a
function of speed is approximated by a quadratic equation. use the data shown
below to find the function. then use the function to determine the cost of operating
the automobile at 60mph.
speed
(in miles per hour) |
operating cost
per mile(in cents) |
10 |
22 |
20 |
20 |
50 |
20 |
Penny Nom lui répond. |
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Arc length and Chord length |
2010-03-13 |
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Darryl pose la question : Is there a formula to determine the chord length of an arc knowing only the arc length and the arc depth (sagitta)? I know you can't find the radius with only these two inputs, but can you find the chord length? Harley Weston lui répond. |
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Cooling |
2010-03-07 |
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Lori pose la question : If a house is always at 20 degrees celsius.
Water (tea) boils at 100 degrees celsius.
5 minutes later the tea was 70 degrees celsius.
Use an equation to predict the temperature after 20 minutes. Tyler Wood lui répond. |
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The line joining (3,4) and (-5,-6) |
2010-03-06 |
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Patric pose la question : Find the condition that the point (x,y) may lie on the line joining the points
(3,4) and (-5,-6) Penny Nom lui répond. |
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The test for some disease is 99% accurate |
2010-02-24 |
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baaba pose la question : Assume that the test for some disease is 99% accurate. If somebody tests positive for that disease, is there a 99% chance that they have the disease? Chris Fisher lui répond. |
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A linear relationship |
2010-02-24 |
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Mel pose la question : This table shows the linear relationship between an aeroplane's height (above sea level) and the outside air temperature.
h (cm) |
120 |
340 |
480 |
600 |
1040 |
T (degrees C) |
14.28 |
12.96 |
12.12 |
11.4 |
8.76 |
Find the gradient and vertical intercept of the function. Write the formula for T. Penny Nom lui répond. |
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A geometric sequence |
2010-02-22 |
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Kelsey pose la question : _, 2, _, _, 250, _
i don't know how to fill in the missing terms Penny Nom lui répond. |
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Frank makes picture frames |
2010-02-20 |
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Carol pose la question : Frank makes picture frames his revenue from sales is R=$13.60x for frames sold. The cost making frames is C=$5.80x+$120 for frames made. What is the minum number of frames Frank must make and sell in order for his revenue to be greater than his costs. Penny Nom and Melanie Tyrer lui répond. |
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Substitution method |
2010-02-17 |
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Melodie pose la question : 7x - 4y = -10
4y= x-2 Tyler Wood lui répond. |
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Can a line segment curve over two planes? |
2010-02-14 |
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Graham pose la question : I am working on a math fair project.
Can a line segment curve over two planes?
Such as, if I had a three dimensional L bracket and I drew a line segment
on it with a marker starting on the bottom of the L and had it curve
around the corner and up the top, would it still be considered one line
segment? Or is that two line segments?
Is there a rule that a line segment can only occupy one plane?
Thank you.
Graham Chris Fisher lui répond. |
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Substitution |
2010-02-14 |
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Izayah pose la question : what is 3 ways to find the meeting point of y=2x+4 and 3x+y=7
by making 2 table and using a graph Stephen La Rocque lui répond. |
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The angle at which the road is inclined |
2010-02-10 |
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abeth pose la question : a mountain road drops 5 m for every 22 m of road. Calculate the angle at which the road is inclined to the horizontal to the nearest degree. Penny Nom lui répond. |
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1/a + 1/b + 1/c < 1 |
2010-02-01 |
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Mrityun pose la question : suppose a,b and c are natural numbers such that 1/a + 1/b + 1/c < 1. Prove that
1/a + 1/b + 1/c < = 41/42. Penny Nom and Claude Tardif lui répond. |
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A 3D cardboard cupcake |
2010-01-30 |
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Margaret pose la question : Hi,
I'm an art student and I'm attempting to build a 3D cupcake out of cardboard.
I want it to have a circular base of 8.5 inches and sides that are 7'' tall and slope outward so the top of the base is 29'.
The top with the frosting would be a detachable lid made from a cone with a base circumfrance of 29".
My problem is how to cut the side so they will slope out, I'm pretty sure there needs to be a curve, however I don't how to calculate the degree of it.
Ideally I want the sides to be a single piece of cardboard.
I also don't know how to calculate the arc needed to make a cone who's circular base's circumfrence is 29''.
Thanks,
Margaret Stephen La Rocque lui répond. |
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Linear growth |
2010-01-27 |
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S. pose la question : I. Linear Growth:
Suppose that the town has a fixed increase in population growth number of population increase each year.
Choose the amount of population growth each year = 200
(Hint: Choose a whole number for your growth rate, rather than a percent.)
a) Fill in the following chart:
Year (t) Population (P)
t = 0
(2010) 1000
t = 1
(2011) 1000+200=1200
t = 2
(2012) 1000+400=1400
t = 3
(2013) 1000+600=1600
b) Find a linear equation in the form P = mt + b (y = mx + b), which gives the population, P, t years from 2010.
. . .
Melanie Tyrer lui répond. |
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A sequence |
2010-01-27 |
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Haku pose la question : if there are 8 dots in the first shape, 13 in the second, 19 in the third, and 26 in the fourth, then what is the formula? Penny Nom lui répond. |
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Growth rates |
2010-01-26 |
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Bhavya pose la question : Dear Sir/Ma'am,
I read in the text book that the growth rates of these 3 functions are as below-
n2/3 < n/lg n < n0.99
I tried the substitution method to check the correctness of this. But it gets really tough as n increase.
Is there any simpler way to understand the correctness of these growth rates?
Thanks and Regards,
Bhavya Robert Dawson lui répond. |
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A tunnel from Toronto to Montreal |
2010-01-25 |
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Dave pose la question : I want to make a tunnel from Toronto to Montreal (for example)
Something like this
http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/grant1.html
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My coordinates are 45.442455,-73.861340 (Montreal) and 43.442455, -79.861340 (Toronto)
I need to know how to find arc distance, chord distance and radius
What websites can i find for this subject
Google has many but they are useless (blah blah) websites
LOL
Thanks Chris Fisher and Robert Dawson lui répond. |
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Solving a triangle |
2010-01-25 |
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Paige pose la question : how do i solve a triangle with one angle of 73 degrees,
one angle of 32 degrees, and one side of 23cm? Harley Weston lui répond. |
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A sequence |
2010-01-22 |
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brahmaji pose la question : 0 7 26 63 _ 215 342 fill the blank? find the missing number Robert Dawson lui répond. |
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A 4-digit phone code |
2010-01-21 |
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pat pose la question : my daughter can`t remember her 4-digit code to unlock her phone. she is pretty sure it starts with a 4. can you help us? my brain is locked up Robert Dawson lui répond. |
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The cube of an integer |
2010-01-20 |
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Shankar pose la question : Can the cube of an integer end with 1985 ones ? Robert Dawson lui répond. |
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Angle of incline |
2010-01-20 |
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Alan pose la question : how do I fnd the angle of an incline with a measurement of 0.042 with an adjacent of 1.2mtrs?. Thank You Penny Nom lui répond. |
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A cone circumscribed about a given hemisphere |
2010-01-19 |
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Neven pose la question : The cone of smallest possible volume is circumscribed about a given hemisphere. What is the ratio of its height to the diameter of its base?
(G.F.Simmons, Calculus with Analytic Geometry, CH4 Applications of Derivatives) Chris Fisher lui répond. |
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A linear equation with the variable on both sides |
2010-01-16 |
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dog pose la question : 4x-9=7x+12 Penny Nom lui répond. |
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Percentage increase from a negative to a positive |
2010-01-12 |
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Greg pose la question : If a company had a net lost in 2005 of $11,234 and net income of $3231 in 2006, what is the percentage annual growth in income between the two years? Robert Dawson lui répond. |
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The triangle inequality |
2010-01-11 |
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Nazrul pose la question : If A and B are any two vectors, then how can I prove that magnitude of (A+B)<=magnitude of A+magnitude of B. Please show me the process in details. Thank you. Robert Dawson lui répond. |
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The intervals where the function is positive and negative |
2010-01-10 |
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Ron pose la question : Hello
I'm trying to find out the intervals where the function is positive and negative.
It's for a polynomial function y= -(x+2)^2 (x-2) and y= (x+1)(x+4)(x-3)
I have tried the right and left side of each x-intercepts, but I still don't understand the
results
thank you for your help Penny Nom lui répond. |
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A pair of simultaneous equations |
2010-01-09 |
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Yumiko pose la question : Solve the following pair of simultaneous equations.
x^2 -4x = y^2-4
3y=2x - 3 Penny Nom lui répond. |
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A networking event |
2010-01-07 |
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Tricia pose la question : I have 70 people to go around to 10 tables with 7 at each table. only 6 from each table will rotate each time. There is 1 table monitor that always stays at same table. How do I make the rotation so everyone moves and gets to see all 70 people at the networking event? Robert Dawson lui répond. |
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A linear equation with fractions |
2009-12-31 |
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Michelle pose la question : How would I solve: (-2)(-1/2x + 5) = (-2)(8)? Penny Nom lui répond. |
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The volume of a frustum |
2009-12-29 |
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dave pose la question : I have a frustum top 1.7r bottom .55r and 2.14 h
I have to calculate cement in a silo every week.
I am not very good at maths but i have been adding the top and bottom
to get an average so as to turn it into a cylinder and i come up with
8.5m3 I know that the correct volume is 9.24 m3. Can you tell me why
getting an average width on the top and bottom of a frustum doesn't work.
Thank you. Chris Fisher lui répond. |
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Linear programming using the Simplex Method |
2009-12-28 |
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William pose la question : A gold processor has two sources of gold ore, source A and source B. In order to keep his plant running,
at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to
process, and ore from source B costs $10 per ton to process. Costs must be kept to less than $80 per day.
Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the
amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B
yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to
maximize the amount of gold extracted subject to the above constraints?
I need a linear programming solution or algorithm of the simplex method solution.
Not a graphical solution. Thanks. Janice Cotcher lui répond. |
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The acute angle formed by intersecting lines |
2009-12-17 |
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Katie pose la question : To the nearest tenth of a degree, find the size of the acute angle formed by the intersecting lines 3x + 2y = 12 and x - 2y = -2. Was is necessary to find the intersection point? Robert Dawson lui répond. |
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A pile of sand |
2009-12-16 |
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Malik pose la question : Sand is leaking out of a hole at the bottom of a container at a rate of 90cm3/min. As it leaks out, it forms a pile in the shape of a right circular cone whose base is 30cm below the bottom of the container. The base radius is increasing at a rate of 6mm/min. If, at the instant that 600cm3 have leaked out, the radius is 12cm, find the amount of leakage when the pile touches the bottom of the container. Harley Weston lui répond. |
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A trig question |
2009-12-15 |
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A trig question pose la question : Hey, my name is Candle
I'm in academic math10 and am stuck on my trig... one question I thought I had right because i used the cosine law I got wrong and can't figure out why... here's a copy of the question. (i guessed it was D... but my teacher said it's B)
Thanks
Candle Robert Dawson lui répond. |
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Energy in calories |
2009-12-15 |
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Josephine pose la question : A soft drink manufacturer claims that a new diet soft drink is now "low Joule". The label indicates that the available energy per serving is 6300 J. What is the equivalent of this energy in calories? (1 Calorie=1000 cal) Robert Dawson lui répond. |
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A telephone pole on a slope |
2009-12-14 |
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Marissa pose la question : A 10 meter telephone pole casts a 17 meter shadow directly down a slope when the angle of elevation of the sun is 42 degrees. Find the angle of elevation of the ground. Its a law of sines problem. Penny Nom lui répond. |
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A number base that's not a positive integer |
2009-12-11 |
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Nick pose la question : Is it possible for a number to have a base that's not a positive integer?
Base 1 gives a result that's meaningless but possible. I have no concept of a base 0, a negative base, or a fractional base, never mind any other base. I think there isn't any base that's not a positive integer, but, knowing that math keeps jumping ahead and sometimes has inventions before anyone knows how to exploit them, I think I'd better ask.
Thank you.
Nick Robert Dawson and Claude Tardif lui répond. |
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e = m c^2 |
2009-12-09 |
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Jim pose la question : Please explain the following formula:
E=MC2 (squared) Robert Dawson lui répond. |
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How fast is the distance between the two cars decreasing? |
2009-12-08 |
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Jenny pose la question : Two cares are on a collision course toward point P. The paths of the two cars make a 30 degree angle with each other. The first car is 40 km from P, and traveling toward P at 16 km/hour. The second car is 50 km from P, traveling at 20 km/hour. How fast is the (straight line) distance between the two cars decreasing. (Hint: Law of Cosines) Harley Weston lui répond. |
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7 36 14 18 28 9 56 x y |
2009-12-06 |
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lisa pose la question : what is the sequence of x and y
7 36 14 18 28 9 56 x y Penny Nom lui répond. |
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A magic/math trick |
2009-12-04 |
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Valentin pose la question : What is the explanation for the following math trick: you think of any four digit number add those digits take that sum and subtract it from the first number then you say three of those new numbers in any order and the other person guesses the last digit.
How does he do it? Claude Tardif lui répond. |
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Airline routes |
2009-12-01 |
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Kapilan pose la question : Please answer the following question:
From A to B there are four possible air routes. From B to C there are five
possible air routes. From C to D there are three possible air routes. How many
different trips can be taken from A to D and back without taking the same route on any
section of the return trip? Penny Nom lui répond. |
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A line through the y-intercepts |
2009-12-01 |
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Rogerson pose la question : Find the equation of the line through y-intercept of the lines 3x + 4y = 12 and 3x - y = 9. Penny Nom lui répond. |
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What number comes next? |
2009-11-25 |
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Mark pose la question : Can someone help and give me the break down of how to solve. 5,3,1,-1 Penny Nom lui répond. |
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Solving two equations, one with a square root |
2009-11-23 |
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kacie pose la question : y = square root of x+3
x-4y = -7
im having trouble with this problem...i have to find where they intersect. Harley Weston lui répond. |
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The point of intersection of the pair of straight lines |
2009-11-19 |
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Stephanie pose la question : Find the point of intersection of the pair of straight lines:
y=-3x-9
-y=4x+2
x = _______ and y = ________
I am totally confused. Please help Robert Dawson lui répond. |
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One-eighth of one million dollars |
2009-11-16 |
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Jarrett pose la question : what is 1/8 equal to out of a million dollars. Penny Nom lui répond. |
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Three angles and one side of a triangle |
2009-11-16 |
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Esther pose la question : How do i find the sides of an acute triangle if i know the angels are 60,45,75 and i only know one side which is 10? Thanks! Penny Nom lui répond. |
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Excluded values |
2009-11-14 |
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Janie pose la question : I have to State the excluded values for this equation and then solve, but not sure how to do this. Here is the problem
(x+6)/x+3=(3)/(x+3)+2 Harley Weston lui répond. |
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A truncated cone |
2009-11-11 |
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Lucian pose la question : I need to calculate the bottom inside diameter of a truncated cone.
The top insdie diameter is 1450mm.
The material is 6mm thick
The cone angle is 20 degrees
The slant length is 152mm
I would like a formula so that I can build a spread sheet Penny Nom lui répond. |
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What's the next term? |
2009-11-03 |
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bharat pose la question : if
1=5
2=25
3=325
4=4325
5=? Robert Dawson and Penny Nom lui répond. |
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The intersection of two graphs |
2009-10-30 |
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asma pose la question : by using the suitable scales,draw both the graph of x/2 + y/4 =3 and y=2 on the same graph paper.Find the points of intersection of the two graph. Penny Nom lui répond. |
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Is it a rectangle? |
2009-10-29 |
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sefora pose la question : The coordinates of the vertices of quadrilaterals are given.
Draw each quadrilateral on a grid.
Determine whether it is a rectangle (show your work)
P(5,1), Q(-4,4), R(-6,-2), S(3,-5) Penny Nom lui répond. |
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Two non zero vectors |
2009-10-27 |
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Nazrul pose la question : Given that a and b are two non zero vectors and ma+nb=0 where m and n are two scalars. How can I prove that m=n=0. Robert Dawson lui répond. |
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A word problem |
2009-10-24 |
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Ryan pose la question : Two times one number plus 7 times another number is equal to 17. the first number plus the second number is equal to 25. What are the two numbers? Please Help! Penny Nom lui répond. |
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e^pi and pi^e |
2009-10-22 |
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Natalie pose la question : Question from natalie, a student:
Without using your calculator, prove which is bigger: e^pi or pi^e
we talked about ad absurdum in class, so I'm assuming that is how I approach this question, but since neither of them have a variable( like the examples we actually solved in class), I'm not quite sure how to solve it.... Harley Weston lui répond. |
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Forming a square |
2009-10-21 |
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christianah pose la question : Two parallel lines have the equations y=x+4 and y=x-2.Two additional lines are drawn to form a square.What is the side length of the square?Write possible equations for the additional lines.Explain and justify your reasoning. Penny Nom lui répond. |
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A sequence |
2009-10-20 |
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Alyce pose la question : The rule of this sequence is k=1/8n. Find the 8th term of the sequence.
1/8, 1/4, 3/8, 1/2, ...
Thanks! Penny Nom lui répond. |
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A linear system |
2009-10-20 |
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marissa pose la question : Solve this linear system
2x-y=5
3x+y=-9 Penny Nom lui répond. |
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A line and a circle |
2009-10-19 |
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Renson pose la question : Determine whether the line x-2y=0 cuts,touches or fail to meet the circle x^2+y^2-8x+6y-15=0.If it touches or cuts ,find the coordinates of the point(s) of contact Harley Weston lui répond. |
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The next three terms |
2009-10-16 |
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Shawn pose la question : I'm a parent and don't know how to help my 6th grader solve for this problem.
Name the next tree terms in this sequence and tell the rule used to find each:
-1,0,1,0,1,2,3,8,25,..... Chris Fisher lui répond. |
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541.39(1 + i)^15 = 784.09 |
2009-10-14 |
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Fitore pose la question : Hi, I noticed that this question was already posted up, however I was hoping I could solve it without having to use logs. Can you please help me? The equation is:
541.39(1 + i)^15 = 784.09 Penny Nom lui répond. |
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Integration of cos (x^2) dx |
2009-10-12 |
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Venkat pose la question : How do you evaluate the integration of cos (x^2) dx ? Harley Weston lui répond. |
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$6.25 in nickels quaters and dimes |
2009-10-10 |
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miriam pose la question : a piggy bank contains $ 6.25 in nickles quaters and dimes.
there are 65 coins all together and there are four times as many nickles as quaters
find the number of coins of each kind Penny Nom lui répond. |
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Two rectangles |
2009-10-08 |
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Lillian pose la question : A rectangle is 5cm longer than twice its width.
The width of another rectangle is 3cm less
than the width of the first rectangle and its length is 6cm more than 3 times its
width. If the perimeters are equal, find the dimensions of both rectangles Penny Nom lui répond. |
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Elimination method |
2009-10-08 |
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Kenty pose la question : How do I solve this problem using the elimination method?
3x-7y=0
6x+4y=0
I am not sure how so if someone can show me a similar problem (instead of
solving this one for me) that would be fantastic. Penny Nom lui répond. |
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Two jets are traveling towards each other |
2009-10-05 |
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jake pose la question : two jets are traveling towards each other and are 4000 km apart. the rate of one jet is 100 km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs what is the rate of speed of the faster jet? Penny Nom lui répond. |
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The maximum number of right angles in a polygon |
2009-10-05 |
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Bruce pose la question : Is there way other than by trial and error drawing to determine the maximum number of right angles in a polygon? Secondary question would be maximum number of right angles in a CONVEX polygon. Is there a mathematical way to look at this for both convex and concave polygons? Or are we limited to trial and error drawing? Chris Fisher lui répond. |
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What is the next term? |
2009-10-04 |
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julia pose la question : patterns
18 46 94 63 52 61 what is the next one? Penny Nom lui répond. |
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Evaluating -x^2 + (yz - 3)^2 |
2009-09-28 |
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Kathy pose la question : My daughter and I are having trouble solving this equation:
-x²+ (yz – 3)²
if x=-4,y=2 and z=0
We are having difficulty with the -x² part of the equation. Thanks Penny Nom lui répond. |
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Extraneous solutions |
2009-09-20 |
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iyana pose la question : what is an extraneous solution? what must you do to determine whether a extraneous solution? Stephen La Rocque and Harley Weston lui répond. |
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Exponential form |
2009-09-18 |
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karen pose la question : Q: Write the following in exponent from: a * a * a * a * * * a, where there are n -1 a's
note: *asterisk means times. Penny Nom lui répond. |
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how many ones are in 1 million |
2009-09-17 |
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djuan pose la question : how many ones are in 1 million Harley Weston lui répond. |
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The method of substitution |
2009-09-17 |
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laura pose la question : ok! i really need help with this question plz help!!
x= - 4y +5
x+2y = 7 Penny Nom lui répond. |
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10x-8 /3 =6x+24 /5 |
2009-09-16 |
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Heidi pose la question : 10x-8 /3 =6x+24 /5.....I know the answer is 7/2 but how do I get there? Penny Nom lui répond. |
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A sequence |
2009-09-15 |
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Derek pose la question : what are the next four numbers in this sequence 1/8, 1/4, 3/8, 1/2... Penny Nom lui répond. |
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A trillion grains of rice |
2009-09-14 |
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akaila pose la question : can 1trillion rice grains fit in a classroom with the area of 144.4m3 Penny Nom lui répond. |
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The slope-intercept form |
2009-09-11 |
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Shelby pose la question : Write an equation in slope-intercept form of the line that is parallel to the graph of 3y-4x=1 and passes through (0,6) Penny Nom lui répond. |
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Exponential form |
2009-09-08 |
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hanna pose la question : hi,
well i am really bad in math and i have a math paper and i was just
wondering what 3x3x3x3x3 was in exponential form and what is
exponential in a way a person like me would understand? Penny Nom lui répond. |
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Airline overbooking |
2009-09-03 |
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Nikita pose la question : An airline company knows that 8% of it's passengers will not show up for their scheduled flights. A plane has 175 seats.
a) What is the probability that 10 passengers or fewer will not show up?
b) What is the probability that 10 to15 passengers will not show up?
c)What is the probability that exactly 10 passengers will not show up?
d) What is the probability that more than 19 passengers will not show up? Robert Dawson lui répond. |
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What is 8 tons in exponential form? |
2009-09-01 |
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Tyler pose la question : what is 8 tons in exponential form Penny Nom lui répond. |
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The sum of digits of 4444^4444 |
2009-08-31 |
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SHIVDEEP pose la question : The sum of digits of 4444^4444 is A .The sum of digits of A is B .
Find the sum of digits of B ? Claude Tardif lui répond. |
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Exponential form |
2009-08-31 |
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cecil pose la question : what is the exponent form 564000? Stephen La Rocque and Harley Weston lui répond. |
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Simultaneous equations |
2009-08-28 |
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onias pose la question : solve 3/a - 2/b = 1/2 , 5/a + 3/b = 29/12 Robert Dawson lui répond. |
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y=2x+1 and y=2x-1 |
2009-08-28 |
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MARICELA pose la question : Need help of how to work this problems
y=2x+1 and y=2x-1
First of all what is the difference?
Second I think is easy just to work with the X y with the line in the middle
but how do you get the numbers for each side. Penny Nom lui répond. |
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2(x-4)>-4+2x |
2009-08-27 |
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jorna pose la question : 2(x-4)>-4+2x Penny Nom lui répond. |
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Linear equations |
2009-08-23 |
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shwetha pose la question : The length of a rectangle is greater than the breadth by 18 cm. If both length and breadth are increased by 6 cm then area increases by 168 cm square. Find the length and breadth of the rectangle. Stephen La Rocque lui répond. |
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Graph 2x-3y+15=0 |
2009-08-20 |
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Diem pose la question : Graph 2x-3y+15=0 Leeanne Boehm lui répond. |
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Making a cone |
2009-08-19 |
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angela pose la question : how can i make a cone with a 6cm of heigth and has 2cm radius in the opening?? Stephen La Rocque lui répond. |
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Find the central angle |
2009-08-18 |
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Larissa pose la question : In a circle, the length of a chord AB is 4 cm and the length of the arc AB is 5 cm. Find the central angle theta, in radians, correct to four decimal places. Then give the answer to the nearest degree. I think I'm supposed to use Newton's method, but am not sure how to start with this problem. Harley Weston lui répond. |
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The median is greater than the mean |
2009-08-14 |
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Shawna pose la question : If the median is greater than the mean on a set of test scores, describe the situation. Robert Dawson lui répond. |
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Fitting the curve y=a*exp(b*x)+c |
2009-08-12 |
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aika pose la question : Could one show me the complete algorithm and formula for finding the coefficients (a,b, and c) in exponential regression model
y=a*exp(b*x)+c Robert Dawson lui répond. |
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The volume of a telephone pole |
2009-08-11 |
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robert pose la question : 12.5"@ base x 7" @ top and 40' height. How would I find the volume in cubic feet for a telephone pole with these dimensions? Harley Weston lui répond. |
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Exponential form |
2009-08-05 |
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motaz pose la question : Let x = log_2 1/8 Write the exponential form of the equation and solve the equation for x Stephen La Rocque lui répond. |
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A cone with the top cut off |
2009-08-02 |
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Paul pose la question : I am making a cone with a diameter of 1300, a base of 500, a side length
800. I need to workout so I can draw it out flat, cut it out, and make into
a cone. Harley Weston lui répond. |
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Two equations in two unknowns |
2009-07-30 |
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Alicia pose la question : I need help with the following equation please show me the steps to complete so that I will know how to do this my self.
2x-y=2 5x+y=5 Thanks for the help Penny Nom lui répond. |
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Inequalities Proof |
2009-07-24 |
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ABOU pose la question : good morning.......a b c are real positive no zero......proof that
sq root(2a/(a+b))+sq root(2b/(b+c))+sq root(2c/(c+a))inferior or equal 3
thank you Janice Cotcher lui répond. |
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Circular Measures |
2009-07-24 |
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onyeka pose la question : find the equation of a circle with point [3,7][5,5] and wich center lies on the line x-4y=1 Robert J. Dawson lui répond. |
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Inequalities |
2009-07-22 |
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Sindhu pose la question : prove that
4^79 < ( (2^100) + (3^100) )< 4^80 ? Robert Dawson lui répond. |
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Finding the Line Joining Perpendicular Feet |
2009-07-16 |
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mukulu pose la question : Please help I've been tryng to search in your data but i failed to get the solution Find the equation of a straight line joining the feet of the perpendiculars drawn from the point A(1,1) to the line 3x-3y-4= 0 and 3x+y-6=0. Janice Cotcher lui répond. |
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The lateral area of a cone |
2009-07-15 |
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ashley pose la question : What is the radius of a cone with the lateral area being 443.3 mm^2 and the slant height being 14.7 mm. Penny Nom lui répond. |
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A sequence |
2009-07-11 |
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jamie pose la question : what is the next number in the sequence and what is the relationship of the numbers? 36,16,20,10,12, _ Penny Nom lui répond. |
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Fractional Exponents |
2009-07-07 |
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bob pose la question : 2^5/2 - 2^3/2 Janice Cotcher lui répond. |
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Simultaneous Equations |
2009-07-06 |
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Mukulu pose la question : Solve the equation simultaneously X/5=(Y+2)/2= (Z-1)/4 ……………….eqt 1
3X+4Y+2Z-25=0 ………………eqt 2 Janice Cotcher lui répond. |
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Vector spaces |
2009-07-05 |
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Nazrul pose la question : How can I prove that m(a+b)=ma+mb where a and b are two vectors.
Thank you. Harley Weston lui répond. |
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Parallel lines |
2009-07-01 |
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chris pose la question : Write the slope of a line that is parallel to each line.
1.y=2x-5
2.y=-x+2
3.3x+y=10
4.5x-y=11
5.x+2y=6
6.2x-3y=9
7.4x+y=3
8.x+2y=14 Brennan Yaremko lui répond. |
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The product of gradients between 2 perpendiculars lines |
2009-06-11 |
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Alister pose la question : how do i prove that the product of gradients between 2 perpendiculars lines equal to -1.... Penny Nom lui répond. |
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Vectors and the Law of Cosine |
2009-06-08 |
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lauren pose la question : once force of 20 pounds and one force of 15 pounds act on a body at the same point so that the resultant force is 19 pounds. Find, to the nearest degree, the angle between the two original forces Janice Cotcher lui répond. |
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Properties of Inequality |
2009-06-05 |
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Nazrul pose la question : We know that if a>b then (1/a)<(1/b)
But why 5> -2 implies (1/5)>(1/-2) .
Thank you in advance for your help. Robert J. Dawson lui répond. |
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At what speed does an automobile start to hydroplane? |
2009-06-03 |
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Don pose la question : How do you figure at what speed does an automobile start to hydroplane when driving on a wet surface. Robert Dawson lui répond. |
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An aeroplane flying in a wind |
2009-06-02 |
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Maria pose la question : The aeroplane flies in a wind of speed 50 kph from the direction S80◦W. However, the direction in which it is pointed, and its speed in still air,
are such that its resultant speed and direction are 800 kph, and direction N71.6◦E
I need to find the size of the angle between v and vw, in degrees to one
decimal place, and find the speed at which the aeroplane would fly if the air were
still, to the nearest kph.
It would help me greatly if I could see a diagram illustrating the velocity va that the aeroplane
would have if the air were still, the velocity vw of the wind, and
the resultant velocity v of the aeroplane (diagram should be
in the form of a triangle illustrating how one velocity vector is the
sum of the other two)
Thanks Harley Weston lui répond. |
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Extraneous solutions |
2009-06-02 |
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Ayana pose la question : solve and check for extraneous solutions.
3x+6/ x²-4 = x+1/ x-2
x can not = {-2,2} Penny Nom lui répond. |
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Two equations |
2009-05-31 |
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tony pose la question : y = 1.2x - 32.7,
y = -0.7x + 46.15
can you please solve this for me? i am not able to figure it out... thank you
tony Penny Nom lui répond. |
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Draw a net for a rectangular prism? |
2009-05-29 |
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Mohamad pose la question : Draw a net for a rectangular prism?
Last week when we were studying for our finals we came across a section about drawing nets I would really appreciate it if you gave me some help on it Robert Dawson lui répond. |
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A sequence |
2009-05-26 |
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Jay pose la question : what is the equation that would give me the next 3 numbers in this progession: 0,1,5,14,20 Stephen La Rocque lui répond. |
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Find out the length of a cup when its volume is halved |
2009-05-25 |
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Thomas pose la question : I'm having trouble with a question.
What kind of formula would i use to find out the length of a cup when its volume is halved? Stephen La Rocque lui répond. |
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Nickels, dimes and quarters |
2009-05-25 |
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Amy pose la question : Coming from South Africa I find working with nickels, dimes and quarters confusing.
How many dimes are in a nickel and how many quarters are in a dime? Penny Nom lui répond. |
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The dimensions of a larger cup |
2009-05-23 |
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Elizabeth pose la question : Hey
If i have a cup that holds a volume of 477mL and the bottom radius is 2.8cm and the top radius is 4.9cm and the height is 10cm. If i increase the volume by one and a half times what is the new measurements if the cup is directly proportional to the first one.
Thank you Stephen La Rocque and Penny Nom lui répond. |
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(x + 1) / 3 + (x + 2) / 7 = 2 |
2009-05-22 |
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MzDonna pose la question : Question from MzDonna, a parent:
We can't seem to get an answer for this problem:
X + 1 X + 2
_____ + _____ = 2
3 7
The book gives the answer as 10 ; But, we struck. Please help us.
___
21
Thanks in advance for your assistance. Stephen La Rocque lui répond. |
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The volume of a cone |
2009-05-20 |
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Lillian pose la question : okay! so my math question is about the volume of a cone! my work sheet gave me the volume and base of the cone and asked me for the height! please help me discover the height of a cone when the volume is 78.54 cm (cubed obviously) and the base is 6 centimeters. thanks so much :) Penny Nom lui répond. |
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Two equations |
2009-05-18 |
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Bob pose la question : solve the system:
x/2 - 2y= -8
3x + 2/3y= -10 Stephen La Rocque lui répond. |
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|1/(x+1)| <1 |
2009-05-16 |
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Nazrul pose la question : What is the solution of absolute value of (1/(x+1))<1? Please explain. Stephen La Rocque lui répond. |
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Rewriting an Expression with Positive Exponents |
2009-05-13 |
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lynda pose la question : (-4x)to the 0 power times x squared over 3to the -3 power i have to rewrite the expression with pos exponents Janice Cotcher lui répond. |
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Finding an Array to an Integer Linear Programming Problem |
2009-05-12 |
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Debbie pose la question : how to make an array for 3 box of juice for 25 students and 2 teacher. 1 pack of juices
hols 3boxes the answer is 9 packages but how do you make array for this Janice Cotcher lui répond. |
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Solve -1<5-2x<10 for x |
2009-05-12 |
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Helen pose la question : solve the following inequality for x
-1<5-2x<10 Te less then sign by the one, should be less then or equal to. Stephen La Rocque and Penny Nom lui répond. |
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A number sequence |
2009-05-08 |
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alicia pose la question : what is the next number 1,2,6,42,1806------? is it 1954? Robert Dawson, Chris Fisher, Penny Nom and Claude Tardif lui répond. |
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Perpendicular lines |
2009-05-07 |
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shabnam pose la question : the line presented by y= 3x-2 and a line perpendicular to it intersect at R(1,1). Determine the equation of the perpendicular line Stephen La Rocque lui répond. |
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Stairway construction |
2009-05-02 |
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Olivia pose la question : Hi, I'm Olivia and I'm in 8th grade studying algebra 1. I'm having some trouble with my math project. It has to do with rules of stairway construction. It says that there are two generally accepted rules to building stairs.
Rule 1: x+y=43 and x+y=46 (cm)
Rule 2: 2y+x=61 and 2y+x=64 (y is the riser and x is the tread length)
I cant figure out how to graph them...it says they're supposed to intersect to make a square which is like the safety zone for building stairs (the stairs' rise and tread lengths are plotted as points) any points outside of that square are considered unsafe.
Did i explain it ok? Thanks for your help.
--olivia Penny Nom lui répond. |
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Percent increase from a negative number to a positive number |
2009-04-21 |
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Brian pose la question : I have no problem calculating year over year net profits but am having trouble when it comes to a negative.
2007 Net Profit = -110,333.00
2008 Net Profit = 66,054.00
Brian Harley Weston lui répond. |
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1/(square root 16) |
2009-04-21 |
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Conor pose la question : Hi Guys!
I dont have a square root sign so im just gonna use the ^ symbol :)
I am just wondering if
1/(16^a)
when re-written can it be
1/16 to the power -1/2
Thanks :) Penny Nom lui répond. |
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A perpendicular line in standard form |
2009-04-21 |
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Kristy pose la question : Can you help me with this equation?
Find the equation, in standard form of the line perpendicular to 2x-3y=-5 and passing through
(3,-2) With the equation in standard form with all integer coefficient. Stephen La Rocque lui répond. |
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12 oz. cup |
2009-04-19 |
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Tom pose la question : I am a ceramic teacher and wanted my students to make a 12 oz. cup, what formula should we use? Chris Fisher lui répond. |
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Exponential form |
2009-04-16 |
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Pete pose la question : Hi,
How do you express ³√h^-4 in exponential form. I am having a lot of
trouble with this one.
thanks
Pete Stephen La Rocque lui répond. |
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Parallel and perpendicular lines |
2009-04-08 |
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Blake pose la question : I need to know what the formula for working a problem. I need to know how to find if i line is parallel or perpendicular by only looking at the equation. i know you must know the slope but how do i find slope? Stephen La Rocque lui répond. |
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A large, hollow, ice cream cone |
2009-04-03 |
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Darah pose la question : A manufacturer is making a large, hollow, ice cream cone to serve as an ad for a local Baskin-Robbins. The ice cream cone is made up of a cone with height 8 feet, topped by a hemi-sphere with radius 6 feet. How much ice cream could the hollow object hold? If a gallon is 0.13368 cubic feet, how many gallons does it hold? If 3 gallons of Baskin-Robbins heavy cream chocolate blend weighs 24 pounds, how much would the ice cream cone weigh, excluding the weight of the construction material? Stephen La Rocque lui répond. |
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Grain of rice on a chess board |
2009-03-30 |
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andy pose la question : Is there an easy way for my students to find out 8 to the power of 21 to solve the grains of rice doubling investigation on a chessboard? Any suggestions welcome. Thanks very much Robert Dawson and Claude Tardif lui répond. |
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Octagonal panels for a horse pen |
2009-03-25 |
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Tony pose la question : I am building a pen for my horse. I am going to use 12' panels in the shape of an octagon. How many feet will he have from side to side using 12' panels.
Thanks,
Tony Robert Dawson and Penny Nom lui répond. |
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Comparing positive and negative fractions |
2009-03-24 |
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Christyrose pose la question : Hello. I am a sixth grade math student and i need help on how to compare negative and positive fractions.
Here is is:
3/4 -2/3 7/10 -5/6
I'm not sure how to do the negative parts because i was absent for a couple days. Thank you!
Christyrose Penny Nom lui répond. |
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An infinite number of solutions |
2009-03-24 |
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Sean pose la question : this is a linear equations problem;
first:
3535.5 + Fbd (.866) + Fbc (.5) - Fab (.5) = 0
and
-3535.5 - Fab (.866) - Fbc (.5) - Fbd (.5) = 0 Harley Weston lui répond. |
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An equation for a line with a changing slope |
2009-03-21 |
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Ben pose la question : Is there anyway to write an equation for a line with a changing slope.
e.g. A cell [hone company has a initial fee of 50$ paying for the first 100 minutes,
the rate then increases to 10 cents per minute, then at 500 minutes the rate is 5 cents
per minute.
If so please tell how.
Thanks Penny Nom lui répond. |
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A dead fly is stuck to a belt that passes over two pulleys |
2009-03-21 |
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Jules pose la question : A dead fly is stuck to a belt that passes over two pulleys 6 inches and 8
inches in radius. Assuming no slippage,how fast is the fly moving when
the large pulley (8 inches) makes 21 revolutions per second ? How many
revolutions per second does the small pulley make ?
How long will it take the dead fly to travel 1 mile ? Penny Nom lui répond. |
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The volume of water in a cone |
2009-03-17 |
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Freddie pose la question : A ball of diameter 20cm rests in a conical container whose angle with the slant height and the vertical axis is 25degrees. if water is poured into the container just enough to touch the bottom of the ball, find the quantity of water in the container. Penny Nom lui répond. |
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A plane cuts a line segment |
2009-03-17 |
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Manis pose la question : Find the ratio in which the line joining (2,4,16) and (3,5,-4) is divided by the plane 2x-3y+z+6=0. Robert Dawson lui répond. |
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A slopped table top |
2009-03-16 |
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anthony pose la question : A perfect circle with radius 100m is supported by four legs, 50m long. The circle is flat when all four legs are 50m long, and tilted when the legs are different in length. The four legs are spread evenly 90 degrees apart at 0, 90, 180, and 270. Find the high and low points in degree and height when the legs are 55m at 0 degree, 70m at 90 degree, 45m at 180 degree, and 30m at 270 degree.
Not sure if they can be calculated using only 2 or 3 legs.
I have tried by picking the two adjacent highest legs (55m and 70m) so I know the high point falls into the first quadrant. Then I tried using ratio to determine where the high point is, which I think high point should be closer to the 70m leg, I am not sure. If I can find the high point, the low point should be opposite to it. Chris Fisher and Harley Weston lui répond. |
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How many ball bearings can you make from a cone? |
2009-03-14 |
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Vatsal pose la question : there is a sum in my maths book which states the following:
how many ball bearings of diameter 2.5 cm. can you get by
melting a solid metalic cone of radi. 20cm and a Hight of 5 meters?
how do i do this please tell me even the minute things like cancellatoins and where to
use = , ; or any such thing because Im a bit weak in maths Harley Weston lui répond. |
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Express 13 mills as a decimal part of $1.00. |
2009-03-13 |
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Kenneth pose la question : Hello:
I read the following in an old business mathematics textbook:
"Express 13 mills as a decimal part of $1.00."
I can determine the answer as follows: There are 1000 mills in or per
$1.00. 13 mills divided by 1000 mills/$1.00 equals $0.013, the answer.
My question is as follows: What does "...as a decimal part of $1.00"
indicate or represent from "Express 13 mills as a decimal part of
$1.00."?
Is (a decimal part of $1.00) any decimal less than $1.00 with the decimal having a dollar sign
before it.
I thank you for your reply. Harley Weston lui répond. |
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A linear system |
2009-03-13 |
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Rasanga pose la question : Use the row echelon form of the augmented matrix to solve the following linear system.
X1+2X2+X4=6
X3+6X4=7
X5=1 Harley Weston lui répond. |
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The equation of a line |
2009-03-11 |
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Teresa pose la question : Write an equation in slope-intercept form that has a horizontal intercept of -7/3 and a vertical intercept of -7/9 Harley Weston lui répond. |
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Related rates |
2009-03-09 |
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Megan pose la question : A plane flying with a constant speed of 330 km/h passes over a ground radar station at an altitude of 3 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later? Harley Weston lui répond. |
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An inequality with logs |
2009-03-06 |
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Indrajit pose la question : (x/10)^(logx - 2)<100..........how to solve this one?? Stephen La Rocque lui répond. |
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If 5 to the power of y = 625, what is y? |
2009-03-02 |
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Charlene pose la question : If 5 to the power of y = 625, what is y? Penny Nom lui répond. |
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Comparing 2^3^4^5 ; 2^5^4^3 ; 5^4^3^2 etc. |
2009-03-01 |
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JIM pose la question : WHICH WOULD BE LARGEST USING THE NUMBERS 2,3,4,5 :
2^3^4^5 ; 2^5^4^3 ; 5^4^3^2 : ETC. OF ALL THE POSSIBLE
COMBINATIONS ? IS THERE A GENERAL FORMULA ? I AM
UNABLE TO FIND A COMPUTER THAT CAN HANDLE SUCH LARGE
CALCULATIONS . I ALSO DO NOT THINK IT IS AS STRAIGHT-
FORWARD AS FIRST APPEARS . THANK-YOU , JIM Stephen La Rocque, Robert Dawson and Harley Weston lui répond. |
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Find the resultant of this displacement pair |
2009-02-22 |
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katydidit pose la question : Find the resultant of this displacement pair:
500 miles at 75 degrees east of north and
1500 miles at 20 degrees west of south.
How do I graph this and how do I solve this problem? Penny Nom lui répond. |
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The graph of y = -6 |
2009-02-21 |
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Barb pose la question : I was given the problem that says "graph the line y = -6" how do I find all the set points that have a y coordinate of -6? I am so lost lost and have no clue how to start. Can you help me please? thanks. Penny Nom lui répond. |
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Find an expression for the nth term |
2009-02-20 |
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Dawn pose la question : Find an expression for the nth term:
x= 1 2 3 4...n
y=11 8 5 2...?
I think it's a linear relation but don't know the equation that goes with it. Stephen La Rocque lui répond. |
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Linear systems |
2009-02-20 |
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Rose pose la question : I have been having trouble trying to figure out these three math problems , I need help breaking them down so I could understand them better please help.
1. x = 7 - x
2 x - y + 8
2. 8 x + 5 y = 1 8 4
x - y = 3
3. y + 2 x = 3
y + 2 x = 4
I can't figure out how to break them down in the right order. Penny Nom lui répond. |
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The substitution method |
2009-02-18 |
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Nicolette pose la question : I am working on linear programming problems that I need to solve pairs of linear equations for. I am confused and am not sure how to solve these problems!
5x+3y=7 y=x-3 How can i solve this using the substitution method? Penny Nom lui répond. |
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A line parallel to a given line |
2009-02-18 |
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Lisa pose la question : I'm having a hard time understanding the concept of how to write an
equation of the line containing the given points and parallel to the given line.
Express the answer in the form of y=mx+b.
(7,9); 2x+5y=4. i would appreciate it alot if someone can show ne how
to do this. Thank you, Lisa Penny Nom lui répond. |
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A conical sleeve |
2009-02-17 |
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Jonathan pose la question : I'm having a hard time making a design pattern for a cone sleeve, the thing is the cone sleeve is 22 degrees, how can i know the angle of this when it is flat on paper, based on my calculations, it should be around 66 - 69, but i want it to be exact can anybody help? Penny Nom lui répond. |
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A fraction with negative exponents |
2009-02-14 |
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Gabriel pose la question : What does the line seperating the top from the bottom mean? what does it tell you to do and what is the answer to the question?
Question 3
Simplify. Write the answer using only positive exponents. Assume all variables represent nonzero numbers.
(x^-5)^-4(x^-1y)^3
________________
(xy^4)^3 Penny Nom lui répond. |
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Large exponents |
2009-02-12 |
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Dan pose la question : I would like to know how to calculate a whole number as the base that
has a large exponent;Such as 7 to the 23rd.power=. Otherwise if I use a calculator
it goes off the scale. Stephen La Rocque lui répond. |
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6^x = y |
2009-02-12 |
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Jamie pose la question : Find x:
6^x=y Harley Weston lui répond. |
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Cubic feet gas to grams of gas |
2009-02-11 |
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tim pose la question : I was trying to convert cubic feet gas to grams of gas. Is there a formula to complete this task? Robert Dawson lui répond. |
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A sphere in a cone |
2009-02-10 |
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Shubham pose la question : An upturned conical vessel of radius 6cm and height 8cm is completely
filled with water. A sphere is lowered in the conical vessel filled with
water and the size of sphere is such that it just touches the sides of
cone and is just immersed. What fraction of water overflows? Harley Weston lui répond. |
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Solving an equality |
2009-02-10 |
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Deborah pose la question : 2(v+10)<18 Penny Nom lui répond. |
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Are these lines parallel? |
2009-02-06 |
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Conor pose la question : are these lines parallel?
y = 3x -2 and 6y = 3x +2 Stephen La Rocque lui répond. |
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Congruent line segments |
2009-02-05 |
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casie pose la question : marica drew one-line segment on a graph with endpoint of (0,9) and (0,4). she drew another line segment with endpoints (1,1) and (6,1). are the line segment congruent?explain Penny Nom lui répond. |
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A point on -8x^2+5xy+y^3=-149 |
2009-02-04 |
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Vivian pose la question : Consider the curve defined by -8x2+5xy+y3=-149
a) find dy/dx
b) Write an equation for the line tangent to the curve at the point (4,-1)
c) There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part b), approximate the value of k.
d) write an equation that can be solved to find the actual value of k so that the point (4.2,k) is on the curve
e) Solve the equation found in part d) for the value of k Harley Weston lui répond. |
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Fertilizer in a bin |
2009-02-03 |
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Todd pose la question : Hello I am looking for a formula to figure out the fertilizer volume in a hopper bottom bin not only when it is full but part full as well. When you are filling it is heaped up in the middle to make a cone and when you are emptying the bin the cone is inverted so it would be nice to be able to quickly figure out the tonnes partly filled and when full.
Lets say the bin is 32 feet high from top of bin where you fill to the bottom where the product goes out and it is 16 feet in diameter. I know how to calculate the cylinder it is the cones on the top and bottom of the bin I have the main question on. Harley Weston lui répond. |
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Simultaneous equations with an xy term |
2009-02-01 |
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angelee pose la question : xy+5x-2y-10=0
2x+y=1 Penny Nom lui répond. |
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The intersection of two lines |
2009-01-30 |
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kaylee pose la question : how do you find and graph the intersect of these two equations:
y=2x-4 (and) 2y=x
thanks,
kaylee Stephen La Rocque lui répond. |
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Missing three digits in a phone number |
2009-01-30 |
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Elmer pose la question : I have part of a phone number. the first 3 digits are 212, the last digit is four, and the three missing digits are all odd, how many numbers will I have to call to get the right number?
212- _ _ _ 4? Stephen La Rocque and Penny Nom lui répond. |
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The vertical line test |
2009-01-26 |
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bob pose la question : what is a Vertical line test Stephen La Rocque lui répond. |
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Linear speed |
2009-01-26 |
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Hom pose la question : A semi is driving cross country at 70mph. The tires on the semi have a 3 foot diameter. What is the linear speed in feet per minute? Robert Dawson lui répond. |
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Using y = mx + b |
2009-01-26 |
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Caroline pose la question : How do you write a symbolic representation using the y=mx+b method? Robert Dawson lui répond. |
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How fast is the visible surface of the earth decreasing? |
2009-01-24 |
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Ray pose la question : A dive bomber loss altitude at a rate of 400 mph. How fast is the visible surface of the earth decreasing when the bomber is one mile high? Harley Weston lui répond. |
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Water flowing from a cone to a cylinder |
2009-01-23 |
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Ray pose la question : Water is passing through a conical filter 24 cm deep and 16 cm across the top into a cylindrical container of radius 6 cm. At what rate is the level of water in the cylinder rising when the depth of the water in the filter is 12 cm its level and is falling at the rate of 1 cm/min? Harley Weston lui répond. |
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20 miles of gasoline |
2009-01-18 |
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Roger pose la question : I used the volume formula and found that a cylinder with a 3" radius X 8.75" height yields just over 231 cu. in. (one gallon)- doesn't seem right, but that's what I got. Then found the percent that 8.175" is to one foot and multiplied that into the number of feet in 20 miles. I'm not good at math, so I'm starting to lose myself here. The short story is I get a cylinder that is 20 miles long and only .0000387" in diameter. Is this even close to the mark? Harley Weston lui répond. |
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The point of intersection of the straight lines |
2009-01-18 |
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Kieran pose la question : Find the point of intersection of the straight lines
y=2x+4, and y+2x-16=0 Robert Dawson and Penny Nom lui répond. |
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How far is the airplane from the control tower? |
2009-01-17 |
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Murtaza pose la question : An aircraft is vertically above a point which is 10 km west and 15 km north of a control tower. The aircraft is 4000 m above the ground, how far is it from the control tower? Penny Nom lui répond. |
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Solve for x |
2009-01-16 |
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maritza pose la question : 5=3(x-2)= Penny Nom lui répond. |
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0.0708 lbs per linear yard |
2009-01-16 |
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Kevin pose la question : If I know that my product is .0708lbs per linear yard how do I calculate how many Linear yards are in a lb? Penny Nom lui répond. |
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A line is perpendicular to another line |
2009-01-16 |
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Greg pose la question : A line is perpendicular to the line y=2x+3 and has the same x-intercept as x+3y+10.
Find the equation of this line. Express your answer in the form of y=mx+b. Justify your answer. Robert Dawson lui répond. |
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Multiplying negative numbers |
2009-01-15 |
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stephanie pose la question : hi, I'm currently working in a grade 8 class where the students are
learning about integers. the students were asked to find examples of how
integers are applied in real life. they were able to find aplications for:
adding and subtracting both positive and negative integers. however,
we could not find an example of where two negative integers would be
either divided or multiplied together in real life. For example: (-2)(-4)= +8.
please help. Harley Weston lui répond. |
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The volume of a cone |
2009-01-13 |
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ab pose la question : the area of the base of the cone shown is 314 cm and it's height is 12 cam what is the volume? Penny Nom lui répond. |
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Negative rate of change |
2009-01-12 |
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hemanshu pose la question : when i have to find rate of change of decrease in any value my ans comes in negative why?????????? Penny Nom lui répond. |
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The table of values for y=3x-10 |
2009-01-09 |
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Jade pose la question : How can I know the value of x for y=3x-10 in this table of values pls. include the deatails
if x=-2 y=-16
if x=3 y=-1
but how if y=2 what is x Penny Nom lui répond. |
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The top half of a cone vs. the bottom half of the same cone |
2009-01-08 |
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Tammy pose la question : What is the ratio of the volume of the top half of a cone vs. the bottom half of the same cone? Is it seven times larger, or four times larger? and is the ratio consistent regardless of the size of the cone opening? Penny Nom lui répond. |
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50 coins with a value of $1.00 |
2009-01-08 |
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Ana pose la question : you have 50 coins which have a total value of 1.00. What are the coins and how many of each do you have? Robert Dawson lui répond. |
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A kennel with 3 individual pens |
2009-01-06 |
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Jean pose la question : An animal clinic wants to construct a kennel with 3 individual pens, each with a gate 4 feet wide and an area of 90 square feet. The fencing does not include the gates.
Write a function to express the fencing as a function of x.
Find the dimensions for each pen, to the nearest tenth of a foot that would produce the required area of 90 square feet but would use the least fencing. What is the minimum fencing to the nearest tenth? Harley Weston lui répond. |
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The area of a region in the plane |
2009-01-03 |
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Rogerson pose la question : Find the area, S, of the shaded region enclosed by the given cureve, the given line and the x-axis.
y = -x^2 + 1
line x = 2 Harley Weston lui répond. |
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The radius of a cone |
2009-01-02 |
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kalpaj pose la question : A conical funnel holds 100ml. If the height of the funnel is 10 cm, determine
its radius, to the nearest tenth of a centimeter. Penny Nom lui répond. |
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Solving an inequality |
2009-01-02 |
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jarred pose la question : 3x+8>2 Penny Nom lui répond. |
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What is i^i? |
2008-12-27 |
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randomness pose la question : i have learnt that 'i' is square root of -1. What is then i^i ? It baffles my maths teacher... Robert Dawson and Penny Nom lui répond. |
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Solving an equation for D |
2008-12-18 |
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Darrin pose la question : In his finance class, my son is being asked to take the following equation and solve for "D":
1 / [1 - (1 + D/12)^T] = (1 / D) * [((12*B) / (P*T)) + Y + ((12N * Z) / (360T))] - [(12Z) / (360T)] * F Robert Dawson lui répond. |
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The 2 rightmost digits |
2008-12-18 |
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Peter pose la question : Is there a pattern for the 2 rightmost digits of a power? For example, one problem for a math competition was what are the 2 rightmost digits of 3^1993? Robert Dawson and Victoria West lui répond. |
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The angle between two lines |
2008-12-17 |
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abhi pose la question : how to calculate the angle between two lines, given the length of the lines..
angle should vary from 0 - 360 in the counterclockwise direction Robert Dawson and Harley Weston lui répond. |
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The nth power |
2008-12-12 |
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Kellie pose la question : I am taking a 9th grade course yet im in 7th grade. I do not understand the nth power
and i have no clue what it is. could you explain to me what it is? Robert Dawson lui répond. |
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A wine decanter |
2008-12-10 |
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Suzanne pose la question : I am trying to buy a wine decanter for my dad for Christmas. One big
problem I am having shopping online is finding the right size. Wine is sold
by metric ml, with a standard bottle holding 750ml of wine. Decanters are
measured by oz, and the sizes are all over the place, with one site alone
having sizes 25oz, 26 1/2oz, 50oz, 59 1/8oz, and 68oz.
Can you help me with metric conversions so I can figure out how much wine
these decanters hold? Like everybody else, I need this as soon as possible
so I can get it shipped in time for Christmas. (I'm disabled & don't drive, so
online shopping is my only way to get gifts.)
Thanks for your help!
Suzanne Chris Fisher and Robert Dawson lui répond. |
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A quadrilateral with exactly 1 pair of parallel sides and no congruent sides |
2008-12-10 |
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alie pose la question : a quadrilateral with exactly 1 pair of parallel sides and no congruent sides is what? Robert Dawson lui répond. |
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Electrical energy |
2008-12-09 |
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ROHAN pose la question : A lamp consumes 1000J of electrical energy in 10s. what is its power Stephen La Rocque lui répond. |
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A line in slope intercept form |
2008-12-08 |
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laurie pose la question : the question: Write and equation of the line that passes through the point
and has the give slope. Then rewrite the equation in slope intercept form.
(2, 5 ) m= 3 Penny Nom lui répond. |
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The sides of a rectangle |
2008-12-08 |
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Mitchell pose la question : The perimeter of rectangle ABCD (represented on a Cartesian plane) is 52cm.
The equation associated with segment AD is 3x+4y-60=0
Point C is at (18, 14).
What is the length of segment AD? Penny Nom lui répond. |
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Ratio of Volumes of a Cylinder and a Cone |
2008-12-06 |
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rohan pose la question : A CYLINDER IS WITHIN THE CUBE TOUCHING ALL THE VERTICALS FACES . A CONE IS INSIDE THE CYLINDER.IF THEIR HEIGHT ARE SAME WITH SAME BASE ,FIND THE RATIO OF THEIR VOLUMES. Janice Cotcher lui répond. |
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Three one-digit numbers |
2008-12-06 |
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JOANNA pose la question : Could you please tell me what Adding Three One-Digit Numbers += 15 1-9 without using any number twice Penny Nom lui répond. |
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The volume of a cone |
2008-12-03 |
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Tamriko pose la question : Hi! Help me, please to solve the following problem: The diameter of an ice-cream cone is 6 cm and the slant height is 10 cm. What volume of ice-cream would fit inside the cone? Thanks! Penny lui répond. |
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What is so important about quadratics? |
2008-11-29 |
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zoe pose la question : what is so important about quadratics? Harley Weston lui répond. |
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Four nines to make 100 |
2008-11-27 |
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jane pose la question : use 4 nines in a math equation that will give you an answer of 100 Penny lui répond. |
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Related rates |
2008-11-26 |
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Lyudmyla pose la question : How fast is the volume of a cone increasing when the radius of its base is 2 cm and growing at a rate of 0.4 cm/s, and its height is 5 cm and growing at a rate of 0.1 cm/s? Harley Weston lui répond. |
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Solve 3x +5= 4x-10 |
2008-11-22 |
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Nikko pose la question : HELP please how do I solve these type of questions? 3x +5= 4x-10 or 4x +10= 6x-8 Penny Nom lui répond. |
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The nth term of a sequence |
2008-11-20 |
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kim pose la question : Find the next 2 terms of the sequence.
11n+2.5 Harley Weston lui répond. |
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The path of a small sailboat |
2008-11-19 |
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jane pose la question : a sailor in a small sailboat encounters shifting winds. she sails 2.00 km East
then 3.40 km North East, then an additional distance in an unknown direction. Her final position
is 6.68 km directly east of the starting point. find the magnitude & direction
of the third leg of the voyage. Harley Weston lui répond. |
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How do you solve " (x-4)^3/2 = -6 "? |
2008-11-17 |
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Jim pose la question : How do you solve " (x-4)^3/2 = -6 " ? Penny Nom lui répond. |
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The nth term of a sequence |
2008-11-16 |
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Robin pose la question : How do I solve for the next term in the following sequence, I just don't want the answer...I want how to do it to. x,x -1, x -2
Also, how do I solve for the nth term? I can't understand the explanations I've found. He has numbers subscripted in his equations. Victoria West lui répond. |
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The midpoint o a line segment |
2008-11-15 |
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Jane pose la question : The vertices of a triangle are at (1,7), (6,-1) and (0,3). Find the coordinates of the midpoints of the sides. Penny Nom lui répond. |
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How far are the boats apart? |
2008-11-14 |
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dom pose la question : Two boats leave port at the same time. They leave at 150 degree angle. One boat travels at 10mph and the other at 20mph. After two hours how far are the boats apart? Penny Nom lui répond. |
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What is -5x+3y=24? |
2008-11-13 |
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Robert pose la question : What is -5x+3y=24??????? Stephen La Rocque lui répond. |
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The angles and sides of a triangle |
2008-11-13 |
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JAMIE pose la question : a triangle with a side(b)37m an angle(C)70degrees and (a)79m find values of angles A and B and length of side c Stephen La Rocque lui répond. |
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The volume of a cyclone |
2008-11-13 |
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Dianna pose la question : I need to figure the cubic yards of a cyclone. 144" down to 48" 60" high Penny Nom lui répond. |
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A conical funnel |
2008-11-12 |
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Rachael pose la question : Hello, I am a 10th grader in AP Calc, and can not figure out this question:
Water is running out of a conical funnel at the rate of 1 inch^3/sec. If the radius of the base of the funnel is 4 in. and the altitude is 8 in., find the rate at which the water level is dropping when it is 2 in. from the top. Harley Weston lui répond. |
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Liquid in a drum |
2008-11-10 |
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RAY pose la question : How can I determine the exact amount of liquid in an overturned drum? Penny Nom and Victoria West lui répond. |
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How fast is the distance between the airplanes decreasing? |
2008-11-10 |
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Crystal pose la question : At a certain instant, airplane A is flying a level course at 500 mph. At the same time, airplane B is straight above airplane A and flying at the rate of 700 mph. On a course that intercepts A's course at a point C that is 4 miles from B and 2 miles from A. At the instant in question, how fast is the distance between the airplanes decreasing? Harley Weston lui répond. |
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1/8, 2/7, 1/2, 4/5, ..., ... |
2008-11-06 |
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katie pose la question : Inductive reasoning, what 1/8, 2/7, 1/2, 4/5, what would be the next two in th sequence. Penny Nom lui répond. |
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A belt drives a pulley |
2008-11-03 |
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Rebecca pose la question : A point on a belt is moving at the rate of 30 ft/sec and the belt drives a pulley at the rate of 200 rpm. What is the radius of the pulley? Penny Nom lui répond. |
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The prime factorization of one billion |
2008-11-02 |
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Alta pose la question : The prime factorization of 1000 is 2 cubed times 5 cubed. How do you write the prime factorization of one billion using exponents? Penny Nom lui répond. |
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A circle tangent to a line and with its centre on another line |
2008-11-01 |
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liza pose la question : Find the equation of the circle of radius squareroot 26 tangent to the line 5x+y=13 and having its center on the line 3x+y+7=0. Chris Fisher lui répond. |
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Equations with the variable in the exponent |
2008-10-28 |
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fari pose la question : Solve for x
5 * 4^x-3=40
5^x=25^(x+8) Penny Nom lui répond. |
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Tangent line |
2008-10-27 |
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Maddie pose la question : Find a general equation for a line that touches, but does not pass through the function Y=X2(X squared) + BX+C. Stephen La Rocque and Victoria West lui répond. |
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A sequence |
2008-10-26 |
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Nicole pose la question : what is the rule to this sequence 3,6,12,24,48..... Penny Nom lui répond. |
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The sequence 49,48,46,43,39... |
2008-10-26 |
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Kyle pose la question : What number comes next in the series 49,48,46,43,39...? Stephen La Rocque lui répond. |
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The sequence 6,1,6,2,6,4,6,8,6, |
2008-10-26 |
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Kyle pose la question : What number comes next in the series 6,1,6,2,6,4,6,8,6,? Stephen La Rocque lui répond. |
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Water is leaking from a conical tank |
2008-10-24 |
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Kimberly pose la question : Water is leaking out of an inverted conical tank at a rate of 12000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. Stephen La Rocque lui répond. |
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Put in lowest terms 6a^2c/8ab |
2008-10-24 |
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hana pose la question : put in lowest terms 6a^2c/8ab Stephen La Rocque lui répond. |
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A linear system |
2008-10-22 |
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Tiffany pose la question : solve:
x + y + z = 4
2x - 3y - z = 1
4x + y - 2z = 16 Penny Nom lui répond. |
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nth term |
2008-10-22 |
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jen pose la question : what is a nth term and how do i find the nth term of any sequence Penny Nom lui répond. |
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Exponential form |
2008-10-21 |
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layla pose la question : how we wite 256 in exponential form Harley Weston lui répond. |
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A falling block |
2008-10-18 |
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KOBINA pose la question : A 50 kg block being held at rest 20m above the ground is released. the block falls (no friction). how fast is the block traveling (in m/sec) when it has lost 40% of its original potential energy. Stephen La Rocque lui répond. |
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The slope of a tangent line |
2008-10-18 |
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Amanda pose la question : If f(x)=square root of (x+4), and the slope of the tangent line at x=21 was 1/n for some integer n, then what would you expect n to be? Stephen La Rocque lui répond. |
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Two equations in two unknowns |
2008-10-17 |
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Dushayne pose la question : Please help me in solving this problem:
a. 3x-4y=32
5x+2y=10
b. 2x+3y=11
4x+3y=10 Penny Nom lui répond. |
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A geometric construction |
2008-10-17 |
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M pose la question : Given any 3 parallel lines on a plane, how to construct an equilateral triangle with each vertex on each line? Chris Fisher lui répond. |
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Using the augmented matrix |
2008-10-17 |
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Karlena pose la question : I am supposed to write the augmented matrix of the system and use the matrix method to solve the system. I must show my work algebraically
x+y+2z=30
2x+3y+2z=53
x+2y+3z=47 Harley Weston lui répond. |
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A tangent line to f(x) = 1/(x - 1) |
2008-10-16 |
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Amanda pose la question : If f(x)=1/(x-1) then what is the slope of the tangent line at x=-2? Harley Weston lui répond. |
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Perpendicular lines |
2008-10-16 |
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Hailey pose la question : In the xy-plane,
the line with equation 2x + y = 3
is perpendicular to the line with equation y = mx + b,
where m and b are constants.
What is the value of m? Penny Nom lui répond. |
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The volume of a slice from a wedge |
2008-10-16 |
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Jeff pose la question : If I have a wedge shaped object (ie, a triangle of non-specific type
extruded along a length) and it is sliced from the two-corner base at
one end to the one-point tip at the other, what is the volume of the
upper (smaller) part as a percentage of the whole? I hope I have
explained it clearly enough. Thanks. Harley Weston lui répond. |
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The rate of change of the volume of a cone |
2008-10-15 |
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Barbara pose la question : Suppose that both the radius r and height h of a circular cone change at a rate of 2 cm/s.
How fast is the volume of the cone increasing when r = 10 and h = 20? Harley Weston lui répond. |
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A cone shaped pile |
2008-10-10 |
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Nadine pose la question : I have a pile of wheat in the shape of a cone. I would like to know how much
wheat I have. I have found the equation "V=1/3 pie r squared h" , but it dosn't
work! The pile is 7 feet high, diameter is 50 feet, circumference is 185 feet.
I also measured the slope 19feet. (Probably not needed) You need to know that
wheat weighs 60 pounds per bushel, and I would like to know how many bushels
I have. Even if I could receive the # of Volume Bushels, I could convert that.
Can you help me?? Stephen La Rocque lui répond. |
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Nets of Square-Based Pyramids |
2008-10-10 |
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Miss pose la question : How many different nets does a square-based pyramid have? Janice Cotcher lui répond. |
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Linear and Angular Velocity |
2008-10-10 |
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Matthew pose la question : The pedal and gear relationship of a bicycle is shown. The radii of the gears are r(sub1) = 5 cm and r(sub2)= 12 cm. The radius of the wheel is r(sub3) = 30 cm. How many rotations per minute of the pedal gear will produce a racing cyclist's speed of 60 km per hr.
For a diagram: http://bikepedalsgears.weebly.com/ Stephen La Rocque lui répond. |
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Two inequalities |
2008-10-08 |
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s pose la question : 3y > 4x
2x-3y>-6 Stephen La Rocque lui répond. |
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A linear equation with fractions |
2008-10-07 |
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Christopher pose la question : 1/6(x-18)+1/8(x+8)=x-9 Penny Nom lui répond. |
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The rise over the run |
2008-10-07 |
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Mak pose la question : what is the ratio of the rise to run? Penny Nom lui répond. |
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Logs and exponentials |
2008-10-06 |
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Charles pose la question : I seem to remember you could solve exponential problems using natural logs quite simply without calculators, such as the fifth root of 400 or 33 to the 4th power. All you did was convert the number to its natural log and then just divide by 5 or multiply by 4 and then convert it back. I just remember how to do this. Thanks. Harley Weston lui répond. |
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A product of positive and negative numbers |
2008-10-03 |
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kaylou pose la question : Suppose you were given 13 numbers and asked to find their product.
Seven of the numbers were positive, and the rest were negative.
Would your product be positive or negative? Why? Penny Nom lui répond. |
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4^x = 2^x + 12 solve for x |
2008-10-02 |
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Dave pose la question : 4^x = 2^x + 12 solve for x. Harley Weston lui répond. |
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Lines that pass through a point |
2008-09-30 |
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Abigail pose la question : what is the name for a point that a group of lines pass through that contains the letters c e n p i l? Penny Nom lui répond. |
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The vertices of a triangle |
2008-09-27 |
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T. pose la question : how do you find the coordinates of the vertices of the triangle with the sides determined by the graphs of the following equations:4x+3y+1=0,4x-3y-17=0,4x-9y+13=0? Harley Weston lui répond. |
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The standard form Ax+By=C |
2008-09-26 |
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Susan pose la question : I am having difficulty changing the point-slope form of the equation of the line y-y1=m(x-x1) to the standard form Ax+By=C. You must express A,B,C in terms of the constants m,x1,y1. I have been able to insert numbers and switch easily from the general to the point slope equation, but I am stumped on how to convert it this way. Penny Nom lui répond. |
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5 units from (1,2) and 5 units from y-axis |
2008-09-26 |
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Shaun pose la question : Find the points (x,y) in the plane that are 5 units from (1,2) and 5 units from y-axis.
I am more interested in the approach, in general terms, than the numerical values. Penny Nom lui répond. |
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Extraneous solutions |
2008-09-25 |
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crystal pose la question : /6x+7/=5x+2 Penny Nom lui répond. |
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Exponential form |
2008-09-25 |
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Pat pose la question : The African bush elephant is the largest land animal and weighs about 8 tons. Write this amount in exponential form. Penny Nom lui répond. |
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Exponential form |
2008-09-16 |
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shawn pose la question : Write the product in exponential form: 5.5.5.2 Penny Nom lui répond. |
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What is the derivative of (2^sinx)/(logbase4(2x+1))? |
2008-09-16 |
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Jesse pose la question : What is the derivative of (2^sinx)/(logbase4(2x+1)) Harley Weston lui répond. |
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Solving Exponential Equations Using Logarithms |
2008-09-15 |
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Todd pose la question : 7(6^x)=6e^-2x Janice Cotcher lui répond. |
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The nth term of a sequence |
2008-09-13 |
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lavett pose la question : what is the Nth term in the sequence when the sequence is 2,4,8,16... and the term numbers are 1,2,3,4... Stephen La Rocque lui répond. |
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A line through two points |
2008-09-10 |
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Conor pose la question : Find the equation of the straight line which passes through the points (-2,14) and (8,-1) Penny Nom lui répond. |
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An ice cream cone |
2008-09-09 |
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olivia pose la question : Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches. Penny Nom lui répond. |
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Collinear |
2008-09-08 |
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Patrick pose la question : On page 17 of my son's 9th grade math book Geometry by Jurgensen, Brown, and Jurgensen (copyright 2004),
the authors state from the diagram that you can conclude the points A, B, and C are collinear.
In the diagram, the points A, B, and C appear to be situated on a straight line; however,
nothing in the diagram states that it is a straight line. I told him that you can't conclude they are collinear
because angle ABC could be 179.9 degrees instead of 180 degrees since nothing in the diagram states otherwise.
His teacher marked his answer incorrect on a test but I still believe that I am correct. How do conclude points are
collinear if nothing tells you that they are situated on a line? Harley Weston lui répond. |
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The biggest right circular cone that can be inscribed in a sphere |
2008-09-08 |
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astrogirl pose la question : find the volume of the biggest right circular cone that can be inscribed in a sphere of radius a=3 Harley Weston lui répond. |
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An exclusion zone around a triangle |
2008-09-07 |
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Awrongo pose la question : A long time ago Mr Gibson found an island shaped as a triangle with three straight shores of length 3 km,4 km and 5 km. He declared an 'exclusion zone' around his island and forbade anyone to come within 1 km of his shore. What was the area of his exclusion zone? Stephen La Rocque and Penny Nom lui répond. |
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2^x = 1,000,000 |
2008-09-06 |
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Peter pose la question : How do I solve for "x" in the following equation: "2 to the power of x = 1,000,000" ? Penny Nom lui répond. |
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A tangent to a circle |
2008-09-06 |
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Jake pose la question : Find an equation of the line that is tangent to the circle x^2 + y^2 = 3 at the point (1,√2) Penny Nom lui répond. |
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Parallel and perpendicular lines |
2008-09-06 |
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C pose la question : Can you help me determine whether these lines are parallel, perpendicular or neither and why?
Problem 1: y=3x+2
y=1/3x - 4
Problem 2: y=1/3x + 1/2
y=1/3 x -2 Penny Nom lui répond. |
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The square root of 2 the the X power |
2008-09-05 |
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Peter pose la question : How can I re-write the expression: The square root of 2 the the X power? Penny Nom lui répond. |
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The selling price |
2008-09-04 |
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Robert pose la question : Client wants to sell his property providing he is left with 100000.00$ net.
How do I calculate selling price if commission is 6% and taxes on the commission 6% Fed and 7.5%prov.
I'm taking the real estate class and this one really got me. Penny Nom lui répond. |
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A line parallel to y= 1/2x + 5 |
2008-09-03 |
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Michelle pose la question : Find the equation of a line parallel to y= 1/2x + 5 if the required line passes through ( 3,4) Penny Nom lui répond. |
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1,679,616 as a power of 6 |
2008-09-03 |
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Denise pose la question : express 1,679,616 in exponential form as a power of 6. Penny Nom lui répond. |
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A word problem with three numbers |
2008-09-02 |
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Wanda pose la question : "Jabari is thinking of three numbers. The greatest number is twice as big as the least number. The middle number is three more than the least number. The sum of the three numbers is 75. Find the numbers." Victoria West lui répond. |
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A cardboard spaceship |
2008-08-31 |
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Lee pose la question : I am building a "cardboard" spaceship for my 4 year old grandson.
The cabin is a dishwasher box with a cool control panel and elipse shaped
windows.
I really need help designing the cone or"nosecone".
The diameter of the base is 26", 24" tall, with a 6" diameter opening
at the top.
Thank you for the help!
Lee Penny Nom lui répond. |
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The flight of an airplane |
2008-08-29 |
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kobina pose la question : You are traveling on an airplane that is moving at 500 mph in a direction 40deg north of west.Therefore , You are travelling (due to the plane ) at how many mph toward the west. Stephen La Rocque lui répond. |
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Solve e^x + e^(x+1) = 250 |
2008-08-25 |
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Laura pose la question : "solve this equation correct to three decimals"
e^x + e^x+1= 250 Penny Nom lui répond. |
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Radii and Chords Create a Non-Right Triangle |
2008-08-22 |
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Beary pose la question : AOC is a diameter of circle O. Line AB is 12, and lines OA and OC (the radii) are 10. Find the length of line BO and chord BC. Janice Cotcher lui répond. |
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Function or Not? |
2008-08-22 |
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Katie pose la question : Determine whether y is a function of x:
[(x^2)y]-(x^2)+(4y)=0
....thx Janice Cotcher lui répond. |
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Angular & Linear Speed from a Sine Graph |
2008-08-19 |
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Kim pose la question : Kim, a student:
I am given a graph with a wave. The amplitude is 5cm and the period is 4cm. I am suppose to find the angular speed. What I need to know is the formula for angular speed and how do I use these numbers to get the correct answer. Janice Cotcher lui répond. |
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Joining vertices in a polygon |
2008-08-18 |
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Megan pose la question : I'm trying to develop a relationship between the number of points of a regular polygon and the
(a) number of lines you could draw between those points,
(b) number of triangles you could draw,
(c) number of quadrilaterals,
etc. Penny Nom lui répond. |
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Solving for Shared Height of Two Right Triangles |
2008-08-17 |
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Heidi pose la question : find the height of a triangle, which can be split into two right triangles, but the base (50m) is not split equally in half. one end of the base is 40 degrees, while the other is 30 degrees. Janice Cotcher lui répond. |
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How do you solve for x when (x^4)-x is greater than or equal to 0? |
2008-08-14 |
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Katie pose la question : How do you solve for x when (x^4)-x is greater than or equal to 0? Penny Nom lui répond. |
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BEDMAS |
2008-08-12 |
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Rebecca pose la question : I have 3 questions.
1) I don't really understand BEDMAS.Im going in to the 6th grade and im
kind of nervis about it.?
2)When you're doing BEDMAS what does the small 3 or 2 above the
other numerals mean?
3)How would you answer this:5+2 x 9 - 9 x 12= ?? Janice Cotcher lui répond. |
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A linear function |
2008-08-07 |
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Warren pose la question : What are the conditions of the numerical coefficients of the standard form Ax+By=C in Linear Function?
How will you transform y=square root of 3 x + 1 in standard form Ax+By=C? Penny Nom lui répond. |
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Arc-length and sector-angle |
2008-08-06 |
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Benson pose la question : If chord length, radius are given, How to find the sector angle and arc-length Janice Cotcher lui répond. |
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A cone on the end of a cylider |
2008-08-05 |
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Jerry pose la question : Hi.
I need to make a plastic cone to fit on the end of a cylinder. The only dimension i have is the diameter of the cylinder.
This 553 mm.
I need to find the formulae required and how much material will be required. Penny Nom lui répond. |
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Find the product of 2^35 and 5^38 in sci. notation. |
2008-08-03 |
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Peter pose la question : I am preparing for a competition and a lot of the non-calculator problems are like find the product of 2^35 and 5^38 in sci. notation. How would you do that? Penny Nom lui répond. |
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Two equations in two unknowns |
2008-08-01 |
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James pose la question : Question from james, a student:
3x+2y=9;24x-2y=18
My math teacher says that it is (2,-4)
Can someone please explain how to figure this out by graphing? Victoria West lui répond. |
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Right Sided Limit of an Exponential Function |
2008-07-29 |
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joseph pose la question : I am trying to find the limit as X approaches 0 from the positive side of x to the sin of x
which look like this lim x^sinx
x->0+ Harley Weston lui répond. |
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Going to Neptune |
2008-07-29 |
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mariah pose la question : how fast would you be going per hour if you wanted to get to neptune in 1 week ? Penny Nom lui répond. |
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Trigonometric |
2008-07-28 |
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kiran pose la question : In triangle , Sin@ = ? Penny Nom lui répond. |
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Braking Distance Relationship |
2008-07-23 |
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Mr.Adjetey pose la question : you are travelling at 30km/h.According to the rule of thumb,the braking distance is 9 metres when braking normally.How long is the braking distance under the same conditions when travelling at 60km/h? Janice Cotcher lui répond. |
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Simultaneous equations |
2008-07-23 |
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Franco pose la question : Solve
3 D + E - F = -10
-2 D - F = -4
-3 D - 4 E - F = -25
Franco Penny Nom lui répond. |
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The midpoints of the sides of a quadrilateral |
2008-07-22 |
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JOEL pose la question : A QUADRILATERAL A,B,C,D HAS THE CO -ORDINATE [2,5],[8,7],[10,3]&[0,1] RESPECTIVLY [B,E,G,H] ARE THE MID POINTS OF THE SIDES AB,BC,CD&DA RESPECTIVLY FIND THE MID POINTS OF [FG]&[FH] Penny Nom lui répond. |
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The number of digits in a really big exponent |
2008-07-21 |
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Pete pose la question : how would you find the number of digits in a really big exponent without a calculator? Penny Nom lui répond. |
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A cube inscribed in a right cone |
2008-07-16 |
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Steven pose la question : A cube is inscribe in a right cone of radius 2 and height 5. What is the volume of the cone? Victoria West and Harley Weston lui répond. |
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A reflected line segment |
2008-07-14 |
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Peter pose la question : Segment AB has endpoints A(-1,2) and (3,1). Segment AB is reflected over the y-axis such that A becomes A' and B becomes B'. What is the positive difference between the lengths of segment AA' and segment BB'? Janice Cotcher lui répond. |
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Overbooking flights |
2008-07-10 |
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DON pose la question : Overbooking by Airlines
This is a simplified version of calculations used by airlines when they overbook
flights. They realize that a certain percentage of ticketed passengers will cancel
at the last minute. Therefore, to avoid empty seats, they sell more tickets than
there are seats, hoping that just about the right number of passengers show up.
We will assume that the no-show rate is five percent.
For a flight with 220 seats, the airline wants to find how sensitive various
probabilities are to the number of tickets it issues. In particular, it wants to
calculate
a) the probability that more than 225 passengers show up
b) the probability that more than 220 passengers show up
c) the probability that at least 215 seats will be filled
d) the probability that at least 210 seats will be filled.
To assess the benefits and drawbacks of issuing various numbers of tickets on an
airline flight with 220 seats, create a table showing as many different scenarios
as possible (table only on one page when printed) and use a second page for
your analysis and recommendation to the airline. Which are the good cases,
which are the bad cases for the airline? Janice Cotcher lui répond. |
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Making Change |
2008-07-09 |
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Peter pose la question : In how many ways can you make 30 cents with quarters, nickels, and pennies? Penny lui répond. |
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Exponential form |
2008-07-03 |
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Kent pose la question : How to write 8 365 005 106 in expanded and exponential form? May I request you also to explane how does it solve. Stephen La Rocque lui répond. |
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Units digit |
2008-07-02 |
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seemachauhan pose la question : How to find unit digit of various numbers and what are unit digits? Penny Nom lui répond. |
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Some phone numbers |
2008-06-30 |
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star pose la question : What do you think the probability of finding the last 3 digits of a telephone number if the 1st digit begins with 7? Janice Cotcher and Harley Weston lui répond. |
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A rectangular room |
2008-06-30 |
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Peter pose la question : A rectangular room has a perimeter of 42 feet and an area of 108 square feet. What is the length, in feet, of the shorter side? Penny Nom lui répond. |
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Write log_2 (1/8) = -3 in exponential form |
2008-06-27 |
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Jaime pose la question : how do you write log2 (1/8) = -3 in exponential form?
the 1/8 is a fraction and the 2 is a base of 2 Penny Nom lui répond. |
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How many face does a cone have? |
2008-06-21 |
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Vanessa pose la question : How many face does a cone have? Harley Weston lui répond. |
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A line which is perpendicular to another line |
2008-06-18 |
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Emily pose la question : How do you solve perpendicular bisectors with a slope and a point? Penny Nom lui répond. |
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(2b^-1c^3)^3 (b^4c^-2)^0 |
2008-06-05 |
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ashley pose la question : Simplify this expression
(2b^-1c^3)^3 (b^4c^-2)^0
Please help me. I not sure about the zero on the outside of parentheses. Penny Nom lui répond. |
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A quadratic equation |
2008-06-03 |
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Drew pose la question : A solution of x^2-8x=-17 is
-4 or -4+I or 4 or 4+i Janice Cotcher lui répond. |
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Substitution method |
2008-05-30 |
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taquicia pose la question : 2y-x=3
x=5+y Janice Cotcher lui répond. |
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x/4 = 3 1/2 |
2008-05-30 |
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Kelsey pose la question : How do you solve for "X" in the problem below?
X
--- = 3 1/2
4
--Kelsey Victoria West lui répond. |
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Liquid is being pored into the top of a funnel |
2008-05-25 |
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Stella pose la question : Liquid is being pored into the top of a funnel at a steady rate of 200cm^3/s. The funnel is in the shape of an inverted right circular cone with a radius equal to its height. It has a small hole in the bottom where the liquid is flowing out at a rate of 20cm^3/s. How fast is the height of the liquid changing when the liquid in the funnel is 15cm deep?
At the instance when the height of the liquid is 25cm, the funnel becomes clogged at the bottom and no mo re liquid flows out. How fast does the height of the liquid change just after this occurs? Stephen La Rocque lui répond. |
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Net weight |
2008-05-23 |
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Leticia pose la question : Hello, My name is Leticia,
I am having trouble with Net weight and I need your help.
When I am in class my friends answer questions that they say are easy,but I have no clue what's happening, we are going to have a test soon so please send me fast. Janice Cotcher lui répond. |
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A 9 team flag football tournament |
2008-05-22 |
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James pose la question : I like to run a 9 team flag football tournament where each team is guaranteed 3 games prior to playoffs. All games must have playoff implications and must not be a consolation game. Victoria West lui répond. |
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A season schedule for 9 teams |
2008-05-22 |
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James pose la question : would like to put together a season schedule for 9 teams with each team playing three or 4 games leading to a 1 to 9 ranking. Victoria West lui répond. |
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Nine digit numbers |
2008-05-21 |
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Alex pose la question : List of Nine digit numbers, that can be divided by nine? Janice Cotcher lui répond. |
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The cube of -2y in exponential form |
2008-05-19 |
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Xiu pose la question : I dont get this question..
Write "the cube of -2y" in exponential form. I know the answer is -(2y)^2 but i really don't understand why. Can you explain how to do this whole problem for me? Leeanne Boehm lui répond. |
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Guy wires for a tower |
2008-05-19 |
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larissa pose la question : a radio tower 500 feet high is located on the side of a hill ( the hill has an inclination to the horizontal of 5 degrees.) How long should two guy wires be if they are connected to the top of the tower and are secured at two points 100 feet directly above ( up the hill ) and directly below the base of the tower? Penny Nom lui répond. |
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Elevation gain |
2008-05-18 |
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Mark pose la question : How do you calculate elevation gain on a treadmill? e.g. 5.0 miles (26,400ft) @ 15% incline.
I have been estimating it as 26,400 x .15 = 3,960 ft of elevation gain.
Hopeful Mount Rainier Climber Victoria West lui répond. |
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How old are the sisters? |
2008-05-11 |
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George pose la question : Theresa is four years older than her younger sister Joni. Twelve years ago, she was twice as old as her sister.
Find the present age of the two siblings. Penny Nom lui répond. |
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A linear model |
2008-05-09 |
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Shelby pose la question : How would you write a linear model to represent the population of a city that has a population of 547,725 and a growth rate of -25,195 per year with t represents the number of years since 1994? Penny Nom lui répond. |
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A net for a hemisphere |
2008-05-06 |
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Julie pose la question : how would you draw the net of a hemisphere? Walter Whiteley lui répond. |
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The inverse of a function |
2008-05-03 |
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keith pose la question : please help me find the inverse of this function:
h(t) = 2 + 4 ln(1-5t) Stephen La Rocque lui répond. |
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-5x < 25+10 |
2008-04-25 |
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Courtney pose la question : What is the answer to -5x<25+10 Stephen La Rocque lui répond. |
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15 + 0.10n = 0.25n, solve for n |
2008-04-24 |
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monica pose la question : 15 + 0.10n = 0.25n
Solve for n. Penny Nom lui répond. |
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What is the altitude of the plane? |
2008-04-23 |
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tiana pose la question : If a plane is taking off and its climbing at 380 feet per minute at 205 MPH, what is the altitude of the plane after it traveled 115 miles? Penny Nom lui répond. |
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How is the square root of 3/4 is greater than 3/4? |
2008-04-22 |
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Serena pose la question : How is the square root of 3/4 is greater than 3/4? Penny Nom lui répond. |
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The isoperimetric inequality |
2008-04-21 |
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Dutch pose la question : I'm searching for the proof that the sphere has the smallest volume of any figure and maximizes the volume of any figure. Chris Fisher lui répond. |
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x/3 -5 = 3(x-2) |
2008-04-20 |
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Mrs pose la question : I am having trouble helping my son solve the following equation:
x/3 -5 = 3(x-2) Penny Nom lui répond. |
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The volume of a stone |
2008-04-17 |
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sara pose la question : a rectangular tank 30 cm long and 20 cm wide is filled with water to a depth of 8 cm. When a stone was put in, the water level rose to 11 cm. Find the volume of the stone. (Assume that the stone is completely under water.) Penny Nom lui répond. |
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A parallel line to a given line |
2008-04-12 |
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john pose la question : A parallel line to a given line through a given point not on the a given line Harley Weston lui répond. |
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The slope intercept form |
2008-04-11 |
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Dave pose la question : Hi, why is there a y-intercept in the slope intercept form?What does the y-intecept have to do with the equation? Penny Nom lui répond. |
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A truncated cone |
2008-04-11 |
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jason pose la question : i need to know how to figure the cubic feet of a cone that the top is 72" wide the bottom is 25" wide and it is 48" tall.
is there a specific formula for this? Penny Nom lui répond. |
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The amount of a washing machine |
2008-04-07 |
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Eddy pose la question : we have a washing machine with a specific cylinder size, which we could calculate the volume as a regular cylinder formulas. The question is, if we fill the washer cylinder with water at a specific height on water , example 15 cm height, how can we find the volume of water at that specific height? Penny Nom lui répond. |
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1-(1-P)^75=0.05 |
2008-04-05 |
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Amy pose la question : 1-(1-P)^75=0.05 Stephen La Rocque and Penny Nom lui répond. |
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The shortest distance from a point to a line |
2008-04-03 |
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Katherine pose la question : How do I find the shortest distance from the point (3,5) to the line x = -2 Stephen La Rocque lui répond. |
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Two consecutive odd numbers |
2008-04-01 |
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prinsilla pose la question : of all pairs of consecutive odd integers whose sum is greater than 75. find the pair whose sum is least? Stephen La Rocque lui répond. |
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The exponential form of x radical y to the third power |
2008-03-30 |
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Jennifer pose la question : what is the exponential for of x radical y to the third power Penny Nom lui répond. |
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The nth term |
2008-03-16 |
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ryan pose la question : need help figuring nth term for 1, 2, 5, 14, 41...... could you please help Penny Nom lui répond. |
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1, 1, 2, 3, 5, 8, 13, ___ ___ ___ |
2008-03-13 |
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Karen pose la question : What is the rule for the following pattern, and what would come next?
1, 1, 2, 3, 5, 8, 13, ___ ___ ___ Penny Nom lui répond. |
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Estimate the cube root of 270 |
2008-03-11 |
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Tom pose la question : (a) By plotting suitable graphs, estimate to one decimal place the cube root of 270.
(b) With reference to your answer to part (a), use 8 iterations of a Bisection Search to refine your estimate. Use the nearest whole numbers either side of your estimate from part (a) as starting values.
(c) Using either of your starting values from part (b) as first guess, use the Newton-Raphson method to find the true value of the root (to 6 decimal places). Repeat using the other starting value from part (b) and compare the two results. Harley Weston lui répond. |
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A linear system |
2008-03-10 |
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sandhiya pose la question : one group of people purchased 10 hotdogs and 5 soft drinks at a cost of
$12.50. a second group bought 7 hotdogs and 4 soft drinks a ta cost of $9.00
find the cost of a single hot and a single soft drink.(using the row echelon form to solve) Penny Nom lui répond. |
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Two perpendicular lines |
2008-03-07 |
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Daphne pose la question : Does anyone know how to find a line perpendicular to -3x=4y=20 and
passes through the point (-12,0)? Stephen La Rocque and Penny Nom lui répond. |
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How large is a container that will hold 3.5 cu meters? |
2008-03-05 |
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Robert pose la question : If a company allows you to ship personal belongings while on an over seas assignment and the figure is 3.5 cubic meters. Just how much is the total area in square feet?? 10X10X10 or??? I just wanted to understand the size of a container that would hold 3.5 cubic meters!! Harley Weston lui répond. |
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The angles of a triangle |
2008-03-01 |
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Allen pose la question : How to find the other two angles of a scalene triangle if one angle is given Steve La Rocque and Penny Nom lui répond. |
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Simultaneous equations |
2008-02-29 |
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CONOR pose la question : I was wondering if you could help me with this problem
7x - 5y = -1
3y = 4x Penny Nom lui répond. |
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A package of supplies is dropped from a plane |
2008-02-29 |
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beth pose la question : An airplane flies west at a speed of 200m/s. A package of supplies is dropped from the plane to some campers. if the plane is at an altitude of 1000meters, how far from the campers should the package be dropped to land near them? ignore wind resistance. Stephen La Rocque lui répond. |
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A line drawn between 2 vertices |
2008-02-26 |
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Arshad pose la question : what is a line drawn between 2 vertices which are not next to each other called. Penny Nom lui répond. |
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A fractional inequality |
2008-02-20 |
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ed pose la question : solve the inequality
(x+3)^2 (2-x)
___________ < 0
(x+4) (x^2 - 4)
Penny Nom lui répond. |
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Find the next terms |
2008-02-20 |
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Darrin pose la question : I was given a number sequence and can't figure out the next terms to this
2,9,20,35,66,91...... Penny Nom lui répond. |
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A complex quadratic |
2008-02-18 |
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Ash pose la question : z^2-(6+2i)z+(8+6i)=0
Solve for Z Steve La Rocque and Penny Nom lui répond. |
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The equation of a line |
2008-02-17 |
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Jennifer pose la question : Given the point A(3,2)B(5,8) find the equation of the line AB ( in standard form ) Penny Nom lui répond. |
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The slope intercept form of a line |
2008-02-17 |
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chris pose la question : find the slope and y intercept of the line (2x+4)-3y=11(x-1)
is this equation in slope point form. Penny Nom lui répond. |
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Exponential form |
2008-02-16 |
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annna pose la question : i already got the answer for what is the prime factorization of 648 which is 2x2x2x3x3x3x3
but how do i write that answer in exponential form? Penny Nom lui répond. |
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The length of the third side of a triangle |
2008-02-16 |
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mary pose la question : I have an angle of 72 degrees and each of the sides are 5' long. What is the distance from each of the ends of the 5 feet to form a triangle. Stephen La Rocque lui répond. |
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Growth factor and growth rate |
2008-02-13 |
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william pose la question : what is the difference between growth factor and growth rate? Stephen La Rocque and Harley Weston lui répond. |
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Classifying a triangle |
2008-02-07 |
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kevin pose la question : scalene triangle 8 ft base right side 9.5 left side 12 ft what is the angles Penny Nom lui répond. |
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Why is the number 1 neither prime nor composite? |
2008-02-07 |
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ronni pose la question : why is the number 1 neither prime nor composite? Harley Weston lui répond. |
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Two spinners |
2008-02-05 |
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Kim pose la question : Zack has two spinners with numbers on them. the probability of spinning
a 7 on both spinners is 3/20. if the probability of spinning a 7 on the first
spinner alone is 1/4 what is the probability of getting a 7 on the second
spinner alone? Penny Nom lui répond. |
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A inear system |
2008-02-03 |
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Kelly pose la question : is (-1,5) a solution of each system? y=-x+4 y=-1/5x Penny Nom lui répond. |
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Two equations in x and y |
2008-02-01 |
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leslie pose la question : 6x+8y=40 4x+5y=25 Penny Nom lui répond. |
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The standard form of a line |
2008-01-30 |
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Thomas pose la question : I'm attempting to get this in standard form
slope=3;(1,5) Penny Nom lui répond. |
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Negative Exponents |
2008-01-29 |
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Bill pose la question : t to the negative fourth power inside parenthesis to the ninth power
OVER
t to the negative fourth power inside parenthesis to the third power
I am confused on how to start the problem. What I did was invert the Ts to make them positive and I then multiplied the powers. I am not sure if this is the correct process. Harley Weston lui répond. |
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Belled-out pier |
2008-01-28 |
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Gina pose la question : I need to know how to find the total yards needed to fill a concrete pier that is 54"/ 108" and 26' deep.
That is...54" @ the top of the pier belled to 108" @ the bottom...26' deep. Stephen La Rocque lui répond. |
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How do I convert mcg to ml? |
2008-01-27 |
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David pose la question : How do I convert mcg to ml? Stephen La Rocque lui répond. |
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O.T.T.F.F.S.S |
2008-01-25 |
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Omar pose la question : What is the next letter in the following sequence:
O.T.T.F.F.S.S Penny Nom lui répond. |
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Linear feet to metres |
2008-01-25 |
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Jillian pose la question : i have a measurement of something in linear feet. i dont know what a linear foot is so i want to convert it to meters to have an idea.
how do i convert. Penny Nom lui répond. |
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The standard form of a line |
2008-01-24 |
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James pose la question : I need to put it in Standard from ax+by=c the problem is
(-4,0); parallel to y=-2+1 how can I put this in Standard from Stephen La Rocque lui répond. |
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x^3 y^(-6) |
2008-01-24 |
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Bill pose la question : I need help completing this negative exponents problem:
x to the power of 3 multiplied by y to the power of negative 6.
What would the process to solving this problem be? Penny Nom lui répond. |
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Find the slope of the line with equation 7-3y=2x |
2008-01-23 |
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nell pose la question : Find the slope of the line with equation 7-3y=2x Stephen La Rocque lui répond. |
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A linear system |
2008-01-22 |
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Lisa pose la question : I am supposed to use augmented matrices to solve this system of equations. x - 3y = 5; 4x - 12y = 13. I think it is unsolvable but I want to be sure I am not just giving up. Thanks in advance for your help! Lisa. Stephen La Rocque and Brennan Yaremko lui répond. |
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1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128 |
2008-01-22 |
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Neil pose la question : Find the next two terms in the following number sequence
1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128
Find a general rule for the nth term of the sequence Penny Nom lui répond. |
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The cosine of an angle |
2008-01-21 |
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Kristine pose la question : Find measure of unknown side
cosA=0.5 Harley Weston lui répond. |
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The equation of a line |
2008-01-20 |
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Sara pose la question : The question is:
Write the equation of a line that is parallel to y=3x-2 through the point (-5,9).
I think the correct equation for this is y=3x+24.
But I have to write it in standard form, and I can't seem to figure out how to do that. Please answer soon! Thanks! Stephen La Rocque and Penny Nom lui répond. |
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The line through (-22 ;-1) and (-23, -2) |
2008-01-20 |
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Zachery pose la question : i have a slope that equals 1/1 and my coordinates are (-22;-1) and (-23;-2) and i am trying to change it into the equation y=mx+b and the farthest that i've gotten is y=1x_ (i can not find out how to find b.) So i was wondering if you could help me find out what b is because i have got no clue!!!!! Penny Nom lui répond. |
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The angles of a triangle given the three sides |
2008-01-17 |
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Lucy pose la question : Is there a way to find the angles of a triangle just by knowing the lengths of it's sides?
It seems like the would be a relationship between the two, but I'm not sure. Stephen La Rocque and Harley Weston lui répond. |
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How many rolls of stock do I need to buy? |
2008-01-16 |
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Dan pose la question : How many rolls of stock do I need to buy?
Given:
The rolls are 40" wide, 20" roll o.d., 4" core o.d., gauge is 0.008"
I need to cut these master rolls in 6" strips (4" of waste per master roll)
and I need 1,270,500 linear feet of this strip. Stephen La Rocque lui répond. |
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Two solutions using the law of sines |
2008-01-14 |
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Kate pose la question : I am working on the Law of Sines and I have a problem that says: Find a value for b so that the triangle has 2 solutions.
I am given that A = 36 degrees and a = 5. Now, I learned that for a triangle to have 2 solutions, h < a < b.
BUT...my answer key says the answer is: 5 < b < 5/sin 36. I can't figure out how to make this fit with h < a < b. Harley Weston lui répond. |
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Linear systems |
2008-01-10 |
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Sandra pose la question : I have two questions. Please solve both. Thank you.
1.) In your chemistry class, you have a bottle of 5% boric acid solution and a bottle of 2% boric acid solution. You need 60 milliliters of a 3% boric acid for an experiment. How much of each solution do you need to mix them together?
2.) You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8 inch blue spruce that grows at a rate of 6 inches per year. In how many years after you plant the trees will the trees be the same height? How tall will each tree be?
Thank you. I did not understand neither problem, so I could not show any work. Please help. Stephen La Rocque and Harley Weston lui répond. |
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Forces on an inclined plane |
2008-01-10 |
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Ron pose la question : A body that weighs 540lbs is caused to slide up an inclined plane with a uniform velocity by a force that acts parallel to the plane. For each foot of horizontal distance, there is a vertical rise of 2in. If the coefficient of sliding friction is 0.16, what force is required to move the body? Stephen La Rocque lui répond. |
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How do I write the following in exponential form? |
2008-01-09 |
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Mandy pose la question : How do I write the following in exponential form?
( square root of a^-2 b)^5 Penny Nom lui répond. |
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Exponential form |
2008-01-08 |
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liam pose la question : i was wondering if anyone could help me with this question and tell me how and what the did; exponetial form of 4 326 180 501 Stephen La Rocque lui répond. |
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Donuts and bagels for the first period class |
2008-01-08 |
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Karen pose la question : Mr. Pace bought breakfast for his first period class. Ten donuts and fifteen bagels
cost a total of $15.75. Mrs. Pace bought breakfast for her class. Five donuts and twenty
bagels cost a total of $17.00. Set up and solve a system of linear equations to determine the cost
of one donut and one bagel. Penny Nom lui répond. |
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How far is the jet from the lighthouse? |
2008-01-07 |
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Natalie pose la question : Question: A ship spots a lighthouse that is 53m high, at an angle of elevation of 7 degrees that is directly north of the ship. The same ship spots a jet travelling N62E at an altitude of 1500m with an angle of elevation of 15 degrees. How far is the jet from the lighthouse?
Natalie Harley Weston lui répond. |
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The radius of a planet |
2008-01-06 |
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Ben pose la question : Two people who are both h feet tall are standing on a spherical planet. One person walks a distance d in feet away from the the other person. At this point, the person walking turns around and can no longer see the top of the other persons head. What is the radius of the planet? Stephen La Rocque and Harley Weston lui répond. |
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What is the speed of the plane in still air? |
2008-01-05 |
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oscar pose la question : A plane flies 400 miles with the wind and 340 miles against the wind
in the same length of time. If the speed of the wind is 24mph, what is
the speed of the plane in still air? Penny Nom lui répond. |
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The shortest distance to a line |
2008-01-04 |
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nana pose la question : 3y+4x-12=0 is the equation of the line AB on a graph......the line AB joins both y and x axises together.....point A is on y axis and its value is 3....point B is on x axis and its value is 4.....Question : from point O(0,0).find the point ont the line AB Stephen La Rocque lui répond. |
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Multiplying exponentials |
2008-01-02 |
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jessie pose la question : Can you please explain how to put x^3 y^2 times x^1 y^3 in simplest exponential form? Penny Nom lui répond. |
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Radicals in exponential form |
2008-01-02 |
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Andre pose la question : The title of the section in my textbook is to write each of the following
radicals in exponential form.
My question is how do u write the squareroot of 10 in exponential form? Penny Nom lui répond. |
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How would one find the radius? |
2007-12-29 |
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Ned pose la question : Given an arc with length of 192 inches (don't know chord length),
and arc height of 6 inches, how would one find the radius? Stephen La Rocque and Harley Weston lui répond. |
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Finding the equation of a line from its graph |
2007-12-25 |
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ken pose la question : I have a graph and it is asking me to find the slope of each line, and
then write its equation. the graph show a negative slope. Would
appreciate the answer if you could show me how to do this question.
Kind regards: Ken Stephen La Rocque lui répond. |
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Smallest cone containing a 4cm radius inscribed sphere |
2007-12-19 |
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Eva pose la question : A sphere with a radius of 4cm is inscribed into a cone. Find the minimum volume of the cone. Stephen La Rocque lui répond. |
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Linearize a graph |
2007-12-19 |
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Justene pose la question : My daughter has a physics lab where she must linearize a graph of acc vs. mass. I have no idea how to help her. Stephen La Rocque lui répond. |
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Negative numbers |
2007-12-14 |
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mannal pose la question : what negative integers do we use in the real world? like -30 temperature? Penny Nom lui répond. |
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Solve sin(x)=x^2-x |
2007-12-11 |
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ming pose la question : is there anyway you can solve
sin(x)=x^2-x without a calculator? Stephen La Rocque lui répond. |
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A math trick |
2007-12-10 |
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Megan pose la question : I need to write a mathematical explanation of why this works!
Start with a four digit number. (a positive integer, and all digits can NOT be the same. At least one must be different)
Rearrange that four digit number.
Subtract the smaller 4-digit number from the larger.
Now circel one digit. (canNOT be zero, because that is already a circle)
Now re-write that number excluding the circled digit.
Compute the sum of the digits.
Now write down the next multiple of 9 that is larger than the sum.
Subtract the Sum from the multiple. (multiple - sum of digits)
Report Difference = to number circled.
The resulting number should be the number that originally circled. Penny Nom lui répond. |
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Plotting a function |
2007-12-06 |
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Paula pose la question : My son has a problem that says plot the point:
2x-3y=9
I have explained to him that there must be a function for y in order to plot that point, but he doesn't think so. The question above that one says find the function for y, and I assume we should use that function. Am I wrong? Can we plot a point without a y function. Stephen La Rocque lui répond. |
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System of equations |
2007-12-06 |
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Jenn pose la question : change the equation,x-y=4 to form y=mx+b
the solution to the system of equations y=2x and y=-x+3 is Stephen La Rocque lui répond. |
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Chicken and goat feet |
2007-12-05 |
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Kim pose la question : Old McDonald raises goats and chickens. The animals have a total of
100 heads adn 360 feet. How many goats and how many chickens does Mr.
McDonald have? Stephen La Rocque and Penny Nom lui répond. |
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Ramp height |
2007-12-03 |
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Steve pose la question : I need to find the height of a angle.
23 degree angle at 12 feet of length is how high from the ground? Stephen La Rocque lui répond. |
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Exponential form |
2007-11-30 |
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Sasha pose la question : How do I write the number 127398 in exponential for? Penny Nom lui répond. |
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An augmented matrix |
2007-11-29 |
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Beth pose la question : I am having troubles fiinding this augnmented matrix. I know how to do it
but everytime i do it it get a different answer and its not the right answer.
Could you help me to make sure I do it right?
Here is the problem:
4x - 3y = 5
2x +9y = 6 Harley Weston lui répond. |
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Multiplying an inequality by a negative number |
2007-11-27 |
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Lisa pose la question : Why is it that you have to switch the sign of the inequality when you divide or multiply by an negative number to solve for a variable? Penny Nom and Walter Whiteley lui répond. |
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Straight lines |
2007-11-26 |
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Divyansh pose la question : hello
i am in eleventh class and am, preparing a project on straight lines
i cant really find uses of straight lines and its equations in daily life
i am also thankful to you in advance and am waiting for your answer eagerly because i need to submit my project only this week
thanking you Penny Nom lui répond. |
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The definition of the sine function |
2007-11-22 |
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Indrajit pose la question : I need a explanation in this theory.......if sinθ = p/h...then
sin 90 deg. = p/h
or 1 = p/h
or p=h .....how can a perpendicular be equal to a hypotenuse.??? Harley Weston lui répond. |
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Exponential Growth |
2007-11-19 |
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lisa pose la question : Hi i am a 8th grader who is learning about algebra
and we are having test on exponent and i don't really get it
i asked my teacher and she told me i should pay more attention
so i want to know what exponential Growth means Penny Nom lui répond. |
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The vertex of a cone |
2007-11-18 |
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miriam pose la question : how many verticies does a cone have Penny Nom lui répond. |
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Two lines |
2007-11-18 |
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Kate pose la question : represent qraphically the equations of these lines and their intersecting points
x-y=2
3x+y=11 Penny Nom lui répond. |
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Exponential form |
2007-11-16 |
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ashley pose la question : write a sentence for exponential form. Penny Nom lui répond. |
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Why do they use the letter b in y=mx+b? |
2007-11-15 |
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virginia pose la question : why do they use the letter b in y=mx+b?
im asking this because my math teacher said he will give extra points to anyone who finds this out first
and i was hoping you guys would be the ones who could help. Penny Nom lui répond. |
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x^2 + x^3 = n^2 |
2007-11-14 |
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Rapin pose la question : x and n are the whole number and less than 100 , x^2 + x^3 = n^2,
please help to solve this equation. Penny Nom lui répond. |
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A particle moves in the xy-plane |
2007-11-12 |
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Russell pose la question : A particle moves in the xy-plane with
X = 2t^3 - 12t^2 + 18t
Y = 3t^4 - 28t^3 + 72t^2
find an equation of the line tangent to the given curve at t_0_ = 1
note: t_0_ is t subscript 0 Harley Weston lui répond. |
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The sequence 3,12,26,45.... |
2007-11-12 |
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Tra pose la question : I can seem to find the realtionship in these sequence of numbers, I am looking for the next three. How can I determine that, I have tried everything??!!!
3,12,26,45.... Penny Nom lui répond. |
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Cones and pyramids |
2007-11-10 |
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Eric pose la question : I have a question regrading the differences between a cone and a pyramid.
In my son's Maths workbook, a cone is always referred to as a pyramid,
which confuses me very much. I understand that a pyramid is a special case of a
cone and therefore you can refer a pyramid as a cone but not the other way around.
Am I correct? Harley Weston lui répond. |
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Distributing prize money |
2007-11-08 |
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Barbara pose la question : Question from Barbara, a student:
In writing competition, the first place winner receives 1/2 of the prize money. The second runner up receives 1/4 of what the winner won.
what was the total amount of prize mone distributed if the winner receives $6,000? Penny Nom lui répond. |
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Why is the number 1 neither prime nor composite? |
2007-11-08 |
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amarilis pose la question : why is the number 1 neither prime nor composite? Penny Nom lui répond. |
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I have a piece of material 44 inches by 78 inches |
2007-11-02 |
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Marianne pose la question : I have a piece of material 44 inches by 78 inches. How many linear yards can I get from it? Penny Nom lui répond. |
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The sum of the ones |
2007-10-29 |
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Hangsun pose la question : When 2 two digit numbers are added what is the greatest possible sum of the ones? Penny Nom lui répond. |
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Constantly accelerated motion |
2007-10-29 |
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Priyanka pose la question : A, B and C are three points lying in that order on a straight line. A body is
projected from B towards A with speed 3 m/s. The body experiences an
acceleration of 1 m/s^2 towards C. If BC =20 m, find the time taken to reach C and
the distance travelled by the body from the moment of projection until it reaches C. Stephen La Rocque lui répond. |
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collinear points |
2007-10-26 |
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Carl pose la question : the points H,S,D,K,L, and B are collinear.
KS+SB=KB
DH+HS=DS
DH+HK=DK
point L and B are not between any other labeled points on the line.
<-------------------------------------------------------------------------> Penny Nom lui répond. |
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A graph with 100 vertices |
2007-10-24 |
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amarjeet pose la question : let g be a graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent only if i-j=8 or i-j=12. The number of connected components
in g are:
1. 8
2. 12
3. 4
4. 25 Penny Nom and Victoria West lui répond. |
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A line parallel to a given line |
2007-10-20 |
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Samaira pose la question : Given Y=2/3 + 3/4x
Give the equation that is parallel to the given one and which touches the x-axis in x=3 Leeanne Boehm and Stephen La Rocque lui répond. |
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Stanley Cup costume (truncated cone pattern) |
2007-10-19 |
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Janet pose la question : You hockey fans will love this question. I am making a Stanley Cup halloween costume and need a flat pattern for the bowl portion. I believe a truncated cone will work nicely. Base circumference needs to be 32" (10.19 diameter). Top circumference needs to be 44" (14 diameter). It needs to be 8" high. Thanks for your help. Stephen La Rocque lui répond. |
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0 = (1/t) - [ln(1+r) ln(t)] |
2007-10-18 |
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Brandi pose la question : Objective: solve for t, where r = 0.05
0 = (1/t) - [ln(1+r) ln(t)] Penny Nom lui répond. |
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Surface area of an open-ended cone |
2007-10-16 |
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Lorne pose la question : What is the surface area of an open ended cone? Measured at 10' high,
16' diameter on the bottom and 2' diameter at the top. Stephen La Rocque lui répond. |
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Four triangles in a square |
2007-10-15 |
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Kristina pose la question : A square with side lengths of 6 cm is divided into 3 right triangles and a larger isosceles triangle. If the three right triangles have equal area, find the exact area of the isosceles triangle. Stephen La Rocque lui répond. |
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Domain and range |
2007-10-12 |
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Dawn pose la question : Hi, I've been out of school for 8 years and recently picked up a math correspondence course. I'm having trouble trying to figure out the range and domain of a linear function. I've read everything I can find in my text, lessons and on your site and I still can't figure out what I'm suppose to be doing. The function is y=2x+1. Please help. Penny Nom lui répond. |
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A dinner club schedule |
2007-10-12 |
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irv pose la question : The problem is that I have 12 couples, 1 through 12,
in a dinner club, and each couple is host once with 3 of the other couples.
he dinners will take place over 4 months. I am trying to not repeat any of
the couples. We had the formula for 16 and 20 couples but not for 12.
Are you able to help with the groupings for 12. Thanks very much.
Irv Victoria West lui répond. |
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77,49,36,18,... |
2007-10-11 |
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Kim pose la question : Find a pattern and predict what comes next in this sequence 77,49,36,18,________________. Penny Nom lui répond. |
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Substitution method |
2007-10-11 |
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Kevin pose la question : 3xx+2y=-36-y=11 Stephen La Rocque lui répond. |
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Area of a quadrilateral |
2007-10-10 |
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Courtney pose la question : how would i find the area of a quadrilateral..
the sides are a (/) is 6cm, b (—) is 9 cm, and c (\) is 7 cm..
the angle between a and b is 140 degrees and b and c is 115 degrees.. Stephen La Rocque lui répond. |
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Coin jar |
2007-10-07 |
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a student pose la question : Sally empties his jar of coins. It contains $3.75 in nickels, dimes, and
quarters. The number of dimes is twice the number of nickels and the number
of quarters is three less than the number of nickels. Determine how many nickels,
dimes, and quarters were in the in the jar. Stephen La Rocque lui répond. |
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Doubling every day |
2007-10-07 |
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Jerrie pose la question : Patti saved pennies for 10 days. The first day she saved 1 cent. Every day after that she saved twice as much as the day before. How much money did Patti save altogether? Stephen La Rocque lui répond. |
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Solving four simultaneous equations (system of four linear equations) |
2007-10-07 |
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Johan pose la question : I need some help in solving this question
x + 2y - 3z + 4w = 12
2x + 2y - 2z + 3w = 10
0 + y + z + 0 = -1
x - y + z - 2w = -4 Stephen La Rocque lui répond. |
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Find the equation of a line given two points |
2007-10-05 |
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Tiffany pose la question : The equation for the line through the points (11,2) and (18,12) can be written in the form Ax+By=C.
Find A and B. Victoria West lui répond. |
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Equation of a tangent line to a function |
2007-10-04 |
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Princess pose la question : If f ' (x) = 3x^2 +1, find the equation of
the tangent line to f(x) = x^3 + x at x= -1. Stephen La Rocque lui répond. |
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how do you get 9^5-9^4/8 to equal 9^4 |
2007-10-01 |
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nathen pose la question : how do you get 9^5-9^4/8 to equal 9^4 Stephen La Rocque lui répond. |
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Two power expressions |
2007-09-29 |
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James pose la question : find the values for a and b
(a*x to the power of -1*y)(-1/2*x*y to the power of b)=6*y to the power of -6
please show me how to do this. Can I begin by taking out the powers? Leeanne Boehm lui répond. |
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Size of a sphere fitting inside a cone |
2007-09-27 |
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Juan pose la question : I am supposed to find the largest sphere that
will fit into a cone. I am assuming is a maximizing problem, but I am not sure
of what relation (between a cone and a sphere) to use. Penny Nom and Stephen La Rocque lui répond. |
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Exponents |
2007-09-26 |
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Calvin pose la question : Exponential form
5 3exponent x 5 4exponent divide 5 2exponent Stephen La Rocque lui répond. |
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Nine dots |
2007-09-25 |
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al pose la question : Connect the dots.
There is nine dots, three across and three down.
Connect the nine dot with the pencil only using four line and never lifting the pencil off of the paper. Stephen La Rocque and Harley Weston lui répond. |
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Exponential regression |
2007-09-24 |
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Anonymous pose la question : I need help in finding this. Find a formula for exponential regression.
Determine how to calculate a and b in the formula.
Y = ba^x
where y is as a function of x. Penny Nom lui répond. |
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Large exponents |
2007-09-24 |
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Kira pose la question : Is there an easy way to calculate a number with a large exponent? For example, 2(10)^35. Stephen La Rocque and Victoria West lui répond. |
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12 men can complete a work in 8 days |
2007-09-23 |
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farah pose la question : 12 men can complete a work in 8 days. 3 days after they started working, 3 more men joined. In how many days will all of them together complete the remaining work. Stephen La Rocque lui répond. |
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Finding equations, intersection point of two lines at right angles |
2007-09-22 |
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Yaz pose la question : Find the equation of the line joining A(-1,-9) to B(6,120). Another line passes through C(7,-5) and meets AB at rigth angle of D. Find the euation of CD and calculate the co-ordinates of D. Stephen La Rocque lui répond. |
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The incline of my yard as it slopes away from my house |
2007-09-22 |
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Janet pose la question : I need to calculate the degree (or is it percent?) of incline of my yard as it
slopes away from my house. Do I visualize a right angle formed by a
level line from the bottom of the slope to the side of the house, and then
compare the line of the slope against the right angle to get the degree?
Or is an incline calculated by the measurement of the rise in 100 feet? For
instance, if the ground rises 3 feel in a distance of 100 feet, is that a 3%
incline? And if it rises 4 feet in a distance of 25 feet, is that a 16% incline?
Thanks so much. Stephen La Rocque lui répond. |
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Two equations in two unknowns |
2007-09-22 |
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Mary pose la question : Having problems doing this problem, looking for a solution with the work. I would like to see how you got your answer, to see what I was doing wrong.
solve using the substitution method, is there "no solution" or "infinitely many solutions"
4x+y=4
2x+8y=0 Stephen La Rocque and Leeanne Boehm lui répond. |
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Points that are 15 units from the origin |
2007-09-20 |
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Paula pose la question : Find the coordinates of any point(s) 15 units away from the origin with an
x-coordinate of 9.
I was given the answer: (9,12) and (9,-12), but I do not understand how these numbers
were calculated. Thank you for your help! Stephen La Rocque lui répond. |
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Solving an equation with fractions |
2007-09-20 |
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Len pose la question : I am having a brain cramp or maybe I just forgot some basic math,
but I am having trouble solving for "r" in your truncated cone example
where r/(r+w)=r/R or r/(r+282)=911/1728. Could you refresh my memory
by showing the steps to solve for "r"? Harley Weston lui répond. |
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Tens and ones |
2007-09-16 |
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julia pose la question : My son has come home with a math question "what i know about 10s and 1s" we're totally stumped any information you can provide would be greatly appreciated Harley Weston lui répond. |
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The contents of a silo |
2007-09-14 |
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Steven pose la question : I need to know how to find the weight of the contents of a silo that is 4 feet across and is funnel shaped at 60 degrees Penny Nom lui répond. |
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Exponential form |
2007-09-12 |
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Ericha pose la question : How do I express 1,679,616 in exponential form as a power of 6 using a calculator? Stepehe La Rocque and Penny Nom lui répond. |
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What are the next two terms? |
2007-09-11 |
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Sassy pose la question : I can't figure out what the next two integers in this pattern are 3,9,6,12,9 are. Stephen la Rocque lui répond. |
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Segments on a line |
2007-09-10 |
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Cathy pose la question : This question was on my daughter's geometry assignment. Write a general rule of formula for finding the number of segments that can be named by a given number of points on a line. For example, 2 points on a line = 1 line segment; 3 points on a line = 3 segments; 5 points on a line = 10 segments. Penny Nom lui répond. |
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nth term in this series |
2007-09-07 |
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danii pose la question : im trying to solve the nth term for this pattern.
1 3 6 10 15 21 28
any help would be appretiated Stephen la Rocque lui répond. |
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The next term |
2007-09-07 |
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Ariel pose la question : Please explain to me why -3^2 is a -9. One calculator give me an answer of positive 9.
WHAT IS THE NEXT TERM IN Each sequence/ What is its term number?
1/2, 2/3, 3/4, 5/6 6/7
1, 1/4, 1/9, 1/16 Stephen la Rocque lui répond. |
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The slope of a line |
2007-09-06 |
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Danielle pose la question : Hello. I need some help with this: i am supposed to find the equation of a line with a point
(2/3,5) and (-5/6,-4) the answer in the book says y=6x+1. My question is how did they get
for the slope? Penny Nom lui répond. |
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Perpendicular lines |
2007-09-06 |
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dinesh pose la question : we know that for two perpendicular lines
m1*m2=-1perpendicular
but this is not true for x-axis and y-axis? Harley Weston lui répond. |
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Prime factors in exponential form |
2007-09-06 |
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Michelle pose la question : how would you write this: factor 48 as a product of primes written in exponential form Stephen La Rocque lui répond. |
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Exponential form |
2007-09-05 |
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jeanette pose la question : the African bush elephant is the largest animal and weighs 8 tons. write this amount in exponential form. Stephen la Rocque and Penny Nom lui répond. |
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X^3 = 3/10 |
2007-09-05 |
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ioana pose la question : If we have X at power 3 that result equally with 3/10 haw much X is ?? Penny Nom lui répond. |
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Variable expressions - part 2 |
2007-09-04 |
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lisa pose la question : how do I write a variable expression for word phrase example x less than =
2 or 2 less than p
4 fewer than job please help Penny Nom lui répond. |
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Exponential form |
2007-08-31 |
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Victoria pose la question : The cost of each space shuttle is about $10,000,000.
Write this amount in exponential form. Stephen La Rocque lui répond. |
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Exponential form |
2007-08-29 |
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Emily pose la question : Write the Exponential Form of 125 x 25 and 81 x 27. Stephen La Rocque lui répond. |
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Rotational energy needs |
2007-08-29 |
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will pose la question : how much energy in KW do i need to start and subsequently rotate a 4 ton fly wheel of 1 metre radius at 12 rpm? Stephen La Rocque lui répond. |
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2,6,7,21,22,66,67 |
2007-08-28 |
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EDWIN pose la question : this doesnt make any sense to me....... i cant find the pattern...
2,6,7,21,22,66,67 Leeanne Boehm and Stephen La Rocque lui répond. |
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A truncated cone |
2007-08-24 |
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JUAN pose la question : i need to create a template for a cone that has a 4 " opening at top, a 14" base and 12" tall.Can u tell me how to achieve this ?
u have similar problems but when i try to do it , is not coming up right , please help.. Harley Weston lui répond. |
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Two-column proof for a circle geometry problem |
2007-08-24 |
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Kendra pose la question : i have to prove that tangents to a circle at the endpoints of a diatmeter are parallel by stating whats given, whats to prove and a plane, then write a two column proof i dont understand this Stephen La Rocque lui répond. |
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Two coplanar lines |
2007-08-21 |
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Robin pose la question : I am going two show that the two lines are coplanar:
(x-5)/4=(y-7)/4=-(z+3)/5
(x-8)/7=y-4=(z-5)/3
I know I have to find a point that lie on both lines, but dont really get it. Stephen La Rocque and Penny Nom lui répond. |
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How much would 3 yards of stone cost? |
2007-08-21 |
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Sue pose la question : If it costs $13.50 a ton of 3/4" stone, how much would 3 yards of stone cost? Steve La Rocque lui répond. |
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A geometry problem |
2007-08-20 |
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samhita pose la question : ABC is a triangle. Let D be a point on side BC produced beyond B such that BD=BA. Let M be the mid-point of AC. The bisector of angle ABC meets DM at P. Prove that angle BAP=angle ACB. Chris Fisher lui répond. |
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Point-slope form |
2007-08-16 |
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jenny pose la question : write an equation in the point-slope form and the intercept form
slope=4,passing through (1,3)
slope=8,passing through (4,-1)
slope= -5,passing through (-4,-2)
slope= -2,passing through(0,-3) Leeanne Boehm lui répond. |
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The length of the third side of a triangle |
2007-08-15 |
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Brooklyn pose la question : What is the equation to find the length of the third side of a triangle if you have the length of A, B, and the angles(s)? Stephen La Rocque lui répond. |
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Circle Geometry |
2007-08-14 |
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Robin pose la question : In a triangle ABC, angle A=75 and B=60. A circle circumscribes the triangle. The tangents of the at points A and B meet in a point D outside the circle. Show that ABD is an isosceles triangle with a right angle at D. Diagram included. Stephen La Rocque lui répond. |
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A nonlinear system |
2007-08-14 |
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Marsia pose la question : Explain how the solution of a nonlinear system could be just a point, or two points. Sketching these may make it easier Penny Nom lui répond. |
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The swaying of a building in the wind |
2007-08-11 |
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San pose la question : During a strong wind, a tall builing, such as the CN Tower, can sway
back and forth as much as 100cm, with a period of 10 seconds.
Please help me to determine the equation for this function, in the form
y=asinkx Stephen La Rocque lui répond. |
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Linear systems and inverses |
2007-08-06 |
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Marsia pose la question : explain how inverses are used to solve linear systems. Penny Nom lui répond. |
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Logs and exponentials |
2007-07-31 |
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Marsia pose la question : Explain how the functions of exponents and logarithms relate to each other. Penny Nom lui répond. |
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Equation of a perpendicular line |
2007-07-28 |
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Marina pose la question : Find the equation, is standard form, with all integers coefficients, of the line
perpendicular to x+3y=6 and passing through (-3,5) Stephen La Rocque lui répond. |
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Multiplcation of two negative numbers |
2007-07-26 |
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Brett pose la question : Someone asked a question about multiplication and division of two negative numbers yielding a positive result here:
http://mathcentral.uregina.ca/qq/database/QQ.09.99/butler1.html I was not fully happy with the explanation b/c I want to give me daughter a real-world example and I can't seem to find one.
The following illustrates why multiplying negative numbers has become difficult to explain:
2 X 2 = 4
----(-4)---(-2)---0---2---4
In this example we start with 2 and then want 2 more of them.
When we move across the number line from 2 to our answer, which is four, we have moved only 2 units to the right.
-2 X -2 = 4
----(-4)---(-2)---0---2---4
In this example we start with -2 and then want -2 more of them.
When we move across the number line from -2 to our answer, which is four, we have moved 6 units to the right.
How can the phenomenon of multiplying two negative numbers being more powerful than multiplying two positive numbers be explained?
-Brett Stephen La Rocque and Harley Weston lui répond. |
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A cone with two fruits |
2007-07-26 |
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Meg pose la question : You have a cone shaped bag. At the bottom of the bag is an orange with
radius r. On top of the orange is a melon with radius R. It touches the
orange and fits snugly in the bag, touching it in a ring around the orange.
Its top is at the same level as the top of the bag. What is the radius of the
cone? Stephen La Rocque lui répond. |
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A one to one function |
2007-07-24 |
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Marsia pose la question : Explain what it means for a function to be one to one. Harley Weston lui répond. |
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Calculating the area (acreage) of a four sided lot |
2007-07-18 |
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A property owner pose la question : I have a real estate property and the lot size is something I need to find out. I know the lengths of the four sides, but it isn't a rectangle, it is an odd shape. How do I find the acreage? Stephen La Rocque lui répond. |
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Trig functions for angles not between 0 and 90 degrees |
2007-07-16 |
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Tim pose la question : My question: Why is the value of a trigonometric function, the same, for an angle over 90 degrees and its reference angle?
How are the angle and its reference related? Do they both form a triangle that has equal sides? Penny Nom lui répond. |
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Proving a quadrilateral is a rectangle |
2007-07-14 |
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Sonja pose la question : I was having this discussion with another teacher and we need a third opinion. When you are trying to prove a quadrilateral is a rectangle which method should you use:
- Prove the shape is a parallelogram by doing slope 4 times by stating that parallel lines have equal slopes. Then proving a right angle by stating that perpendicular lines have negative reciprocal slopes.
- Doing the slope 4 times and stating that the shape is a rectangle because opposite sides are parallel because of equal slopes and it contains a right angle because of negative reciprocal slopes.
I guess the real question is do you have to first state that the shape is a parallelogram? Stephen La Rocque lui répond. |
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Any regular polygon inscribed in a circle |
2007-07-12 |
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DJ pose la question : Circle with r=12" is inscribed in a regular octagon. What is the length of each octagon segment?
Note: Our answer works for any regular polygon inscribed in any circle. Stephen La Rocque lui répond. |
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Discount percentage |
2007-07-11 |
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Greg pose la question : List Price: $50.00
Discount: 33 1/3%
What would the net price be? Stephen La Rocque lui répond. |
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Calculating sales taxes |
2007-07-11 |
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Tonya pose la question : Hi, Im having trouble calculating GST and PST
I know that in this province, GST is 6% and PST is 7%, I have a total of $275, and GST is 0.06, and PST is 0.07, so do I add those two and multiply them by the total, $275? Stephen La Rocque lui répond. |
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Finding the radius of an inscribed circle |
2007-07-05 |
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Maria pose la question : I need to find the radius of a circle which is inscribed inside an obtuse triangle ABC. I know all the angles and all the lengths of the triangle. Stephen La Rocque and Chris Fisher lui répond. |
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The lock code for my phone |
2007-06-30 |
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Amanda pose la question : okay so i forgot my lock code for my phone its four digits but i know it doesn't have a 1 or a 0 in it so it has to be from numbers 2 to 9 i need to know all the four digit combinations asap cause i cant use my phone till can someone please help me Amanda Penny Nom lui répond. |
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If A is 1 and Z is 26 |
2007-06-29 |
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Sue pose la question : If A is 1 and Z is 26 is there a word that when you multiply all the numbers instead of letters adds up to a million? Chris Fisher and Harley Weston lui répond. |
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A linear system |
2007-06-29 |
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Kim pose la question : solve for x,y,z
x-y+z=4
2x+2y-z=-2
x-2y+2z=7 Harley Weston lui répond. |
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Splitting the profits unequally |
2007-06-27 |
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Maci pose la question : We recently hosted a fundraiser.
Not everyone will receive a whole share of the profits
because they did not participate the entire time.
Several will receive only 1/2 or 1/3 share.
How do I divide the profits? Stephen La Rocque lui répond. |
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sin|x| and cos|x| |
2007-06-25 |
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Mac pose la question : Can anyone tell me whether sin|x| and cos|x| is differentiable at x=0 ?
As far as i know, cos(x) and sin(x) is differentiable at all x. Penny Nom and Stephen La Rocque lui répond. |
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Limits as x approaches a constant |
2007-06-25 |
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Mac pose la question : can you please tell me what is the reason they say "denominator is a negative quantity"
in the solution 11 and "denominator is a positive quantity" solution 10 ??
If i guess correctly, for solution 10, its because of x^2 in the denominator. Penny Nom lui répond. |
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The substitution method |
2007-06-23 |
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mary pose la question : solve the system by the method of substitution:
-5x+2y=-15
4x-y=9 Stephen La Rocque lui répond. |
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Exponential form: x^y |
2007-06-22 |
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Kishor pose la question : whats the easy way to calculate X raised to Y where y is much greater than x. Stephen La Rocque lui répond. |
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Rewrite 2x+4y+2=3y+5 in general form |
2007-06-21 |
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dawn pose la question : how do you rewrite 2x+4y+2=3y+5 in general form? Stephen La Rocque lui répond. |
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Simultaneous equations : the Elimination method |
2007-06-21 |
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Patricia pose la question : I need to find the value of X and Y using the Elimination method.
5/x + 3/y=4
25/x-2/y=3 Stephen La Rocque lui répond. |
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Factor X^6 - 64 |
2007-06-20 |
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Krystal pose la question : How do I Factor X^6 - 64 into linear factors? Penny Nom lui répond. |
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Simultaneous inequalities |
2007-06-18 |
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Freddy pose la question : Watson Electric has production facilities in Valley Mills, Marlin,and Hillsboro.
Each one produces radios,stereos,and TV sets.
There production capacities are
Valley Mills: 10 radios, 12 stereos, and 6 TV sets per hour
Marlin: 7 radios, 10 stereos, and 8 TV sets per hour
Hillsboro: 5 Radios, 4 Stereos, amid 13 TV sets per hour
QUESTION
How many hours should each plant be scheduled to fill an order of 1095 radios, 1230 stereos,
and 1490 TV sets? Stephen La Rocque lui répond. |
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An inequality |
2007-06-16 |
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jerry pose la question : Two real numbers a and b satisfy the equation ab=1.
i) Prove that a^6 + 4b^6 >4
ii) Find out whether the inequality a^6 + 4b^6 >4 holds for all a and b such that ab = 1 Stephen La Rocque lui répond. |
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A system of linear equations |
2007-06-14 |
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Alfredo pose la question : A student club sponsored a jazz concert and charged $3 admission for students, $5 for faculty, and $8 for the general public. The total ticket sales amounted to $2542.
Three times as many students bought tickets as faculty. The general public bought twice as many tickets as did the students. Set up the equations that determine how many
tickets were sold to each group and solve. Stephen La Rocque and Penny Nom lui répond. |
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Angles of depression |
2007-06-13 |
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Phonda pose la question : The pilot of a small private plane can look forward and see the control tower for a small airstrip. Beyond that is a large factory that is 3 milies from the airstrip. The angles of depression are 12.5 degrees and 4.8 degrees respectively.
Find the airplane's altitude, to the nearest ten feet. Stephen La Rocque lui répond. |
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How high does the ladder reach? |
2007-06-11 |
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Madi pose la question : A ladder 8 ft long resting on a house makes a 60 degree angle with the ground. how far up the house does it reach? Stephen La Rocque lui répond. |
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The area of a quadrilateral |
2007-06-10 |
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Lucy pose la question : Calculate the area of the quadrilateral ABCD.
AB= 4.1cm, BC = 7.6cm, AD= 5.4 cm, CD= ?
Angle ABC = 117, Angle ADC = 62.
Give your answer correct to 3 significant figures. Stephen La Rocque and Penny Nom lui répond. |
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The law of sines |
2007-06-09 |
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Felicia pose la question : A parallelogram has one side that is 12.0 cm and one angle that is 65°. The shorter diagonal is 25.0 cm. To the nearest tenth of a centimetre, how long is the other side of the parallelogram? Use the sine law. Penny Nom lui répond. |
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Two tangent lines to y=x^3 |
2007-06-07 |
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stephanie pose la question : find the equations of two tangent lines to the y=x^3 function through the point (2,8) Penny Nom lui répond. |
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What happens when you have zero's on both sides? |
2007-06-05 |
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Lily pose la question : On the substitution method what happens when you have zero's on both
sides of the equation? Is that considered no solution or infinitely many? Stephen La Rocque and Penny Nom lui répond. |
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Equation of a line |
2007-06-03 |
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Mahrukh pose la question : Hi i would like to know how to find the equation of a line, when you are given a piont (3, -1) and the x intercept which is -1? Penny Nom lui répond. |
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Points in a plane |
2007-06-01 |
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Gabrielle pose la question : In general how many planes are there which contain two given points, three given points, and four given points? Steve La Rocque and Walter Whiteley lui répond. |
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The intersection of two planes |
2007-05-31 |
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Sarim pose la question : How to find a intersection of two planes? Penny Nom lui répond. |
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Volumes of cones and cylinders |
2007-05-29 |
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George pose la question : 1. The volume of a cylinder is 1353cm3
A) What is the volume of a cone with the same radius as the cylinder
but double the hieght of cylinder?
B) What is the volume of a cone with the same height as the cylinder
but with three times its radius? Steve La Rocque and Walter Whiteley lui répond. |
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y=mx+b |
2007-05-29 |
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molly pose la question : Im having a problem with the y=mx+b for our homework we have a table that goes from 0 to 6 , 1 to 7 and 2 to 8 and we have to make a equation of that. Please help. Penny Nom lui répond. |
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The distance between parallel lines |
2007-05-28 |
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Kristie pose la question : I can't figure out how to determine the distance between parallel lines I am taking
linear algebra and vector geometry. I was given two lines in the form #x+#y =#
told they were parallel and asked to find the distance between them??
Please help
Thanks Penny Nom lui répond. |
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System of equations |
2007-05-24 |
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Chris pose la question : Find all real solutions (x,y,z,w) of the system of equations:
2y= x + x/17, 2z= y + y/17, 2w = z + z/17, 2x= w + w/17 Penny Nom lui répond. |
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Solve for I |
2007-05-23 |
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Mark pose la question : A=4.9(B)*C^(.00925(D-.542))* E^(-.015(D))*E^(-.013(F))* (G/B)^(-.00825(D-.225))* H^-.877*(I/B)^.511*(J/B)^.319 Stephen La Rocque lui répond. |
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Set up two simultaneous equations |
2007-05-21 |
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Admire pose la question : The cost of producing windscreen wipers blades at a factory ais partly fixed (due to operating overheads) and partly dependent on the number of blades produced. It costs $300 to produce 1000, and $600 to produce 5000 blades. How much would it cost to produce 24000 blades? Penny Nom lui répond. |
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Constant rate of sand falling in a cone |
2007-05-20 |
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Nhi pose la question : Sand is falling into a conical pile . After 5 min. the pile has radius 24 and height 26 . After 7 min. tell how far the point c. is from the top of the cone (A). Stephen La Rocque lui répond. |
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Lateral area of a right cone |
2007-05-17 |
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Crystal pose la question : In my homework the question says the lateral area of a right cone is 226.08 cm cubed.
the slant hieght is 12 cm. Find the total surface area. How do I do that? Stephen La Rocque lui répond. |
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Altitudes of scalene triangles |
2007-05-17 |
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Chris pose la question : Two of the altitudes of a scalene triangle ABC have length 4 and 12.
If the length of the third altitude is also an integer, what is the biggest
that it can be? J. Chris Fisher lui répond. |
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Maximizing the volume of a cone given the slant length |
2007-05-14 |
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Christina pose la question : A coffee filter for a new coffee maker is to be designed using a conical filter. The filter is to be made from a circle of radius 10cm with a sector cut from it such that the volume of coffee held in the filter is maximised. Determine the dimensions of the filter such that the volume is maximised. Stephen La Rocque and Kerstin Voigt lui répond. |
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Prisoners |
2007-05-12 |
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Ryan pose la question : Last monday, the county jail had 200 prisoners. Of these, 130 were accused of felonies, and 121 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? Stephen La Rocque lui répond. |
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Exponents and geometry |
2007-05-12 |
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Cynthia pose la question : Hi is (x^6)(x^4)1/2 = 5
And
How does 1/2(3.14)(4.1) =26.3917 Penny Nom and Stephen La Rocque lui répond. |
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Find the equation of a line passing through two given points |
2007-05-12 |
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Kenzie pose la question : I am having problems solving an equation of the line passing through (-2,4) and (6,0) Penny Nom and Stephen La Rocque lui répond. |
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Finding the hypotenuse without Pythagorus |
2007-05-11 |
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Shelbie pose la question : How do i find the hypotenuse of a right traingle not using the pythagorean thereom if i have the measurements of the legs? Stephen La Rocque lui répond. |
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Linear growth |
2007-05-11 |
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Rebecca pose la question : What is the definition of linear growth? Penny Nom lui répond. |
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Understanding log equations |
2007-05-10 |
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Sean pose la question : The number, N, of people who have heard a rumor spread by mass media at time, t, in days is modelled by N (t) = a / 1+ be^ -kt. If 50 people have heard the rumour initially and 300,000 people hear the rumour eventually, find a and b. If the rumour is initially spreading at the rate of 500 people per day, find k. Penny Nom lui répond. |
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Is the point on a cone called a vertex? |
2007-05-09 |
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Felicia pose la question : Does a cone have a vertice? My teacher says that a vertice can only be
made if two or more edges join up at an angle, so what do you call a point on a cone? Walter Whiteley lui répond. |
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The substitution method |
2007-05-08 |
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A student pose la question : I need help on these two problems( substitution method)
-2x+7y=10
x-3y= -3
and
6x-8y= -12 -3x+4y=9 Penny Nom lui répond. |
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Slicing a double-napped cone with a plane |
2007-05-07 |
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Andrew pose la question : I am writing a paper about creating parallel lines by slicing a double-napped cone with a plane. I have found out how it can be shown by algebra that the equations for parallel lines are generated from the degenerate case of a second degree polynomial in two variables, but I have yet to find a source with a visual representation of this case. Do you know if it exists? Chris Fisher lui répond. |
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The radius of a cone |
2007-05-07 |
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Braden pose la question : i need to find the surface area but i only have the slant height and the height i need the radius how do i find it? Penny Nom lui répond. |
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Road incline grades |
2007-05-07 |
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cecil pose la question : convert grade percent to degrees Stephen La Rocque lui répond. |
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Evaluating sine and cosine |
2007-05-06 |
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Selimovic pose la question : How can i solve sine or cosine for angle of, lets say 10°....Maybe
it's easy but i don't know how... Penny Nom lui répond. |
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The vertices of a triangle |
2007-05-02 |
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natakie pose la question : Find the coordinate of the vertices of a triangle whose sides lie on the following three lines.
2x+5y-16=0, 4x-3y-6=0 and 3x+y+2=0 Penny Nom lui répond. |
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A tugboat's speed |
2007-04-30 |
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Amanda pose la question : a tugboat must travel 24 miles against a 4 mile per hour current on the Potomac River and return. At what
constant speed must the tugboat travel to make the trip in 12 hours. Round answer to the nearest tenth mph. Stephen La Rocque lui répond. |
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Two equations |
2007-04-29 |
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lavon pose la question : I'm having trouble figuring out a linear equation, can you help?
- 3x + 2y = 8
3x + 2y = 8 Penny Nom lui répond. |
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Finding out if two line equations are parallel or perpendicular |
2007-04-28 |
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Vincent pose la question : Can you determine if the two lines are parallel, perpendicular, or neither
1/2x+4y=3/5
y/1 + 10/5= 8x
I think there perpendicular but how would you solve the equations Stephen La Rocque lui répond. |
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A line parallel to a given line |
2007-04-28 |
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vince pose la question : write an equation of the line satisfying the given conditions
Through (2,-3) parallel to 2x=3y+5 and graph both equations Penny Nom lui répond. |
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Maximize the volume of a cone |
2007-04-27 |
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ashley pose la question : hello,
I've been stumped for hours on this problem and can't quite figure it out.
The question is: A tepee is a cone-shaped shelter with no bottom. Suppose you have 200
square feet of canvas (shaped however you like) to make a tepee. Use
calculus to find the height and radius of such a tepee that encloses the
biggest volume.
Can you help?? Stephen La Rocque and Penny Nom lui répond. |
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A line parallel to a given line |
2007-04-26 |
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vincent pose la question : I forgot how to write the equation of the line satisfying the given conditions
through (2,-3) parallel to 2x=3y+5
and how would you graph this Penny Nom lui répond. |
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Two parallel lines |
2007-04-25 |
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prasanna pose la question : Let me know the Equation of a line which is parallel to some other line at a distance of Dmts. Penny Nom lui répond. |
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A linear system |
2007-04-25 |
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Tee pose la question : 2x -y =5
2x +=y =5
and also
3/7x + 5/9y =27 (fractions)
I have to find the addition method to both problems Penny Nom lui répond. |
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What is the square root of 729 to the third power? |
2007-04-25 |
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Tori pose la question : What is the square root of 729 to the third power? Penny Nom lui répond. |
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Linear programming |
2007-04-24 |
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Sylvia pose la question : What is graphing linear programming? Penny Nom lui répond. |
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Physics/Temperature Change |
2007-04-22 |
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William pose la question : A 3.00 x 10^-3 kg lead bullet travels at a speed of 2.40 x 10^2 m/s and hits a wooden post. If half the heat energy generated remains with the bullet, what is the increase in temperature of the embedded bullet? (specific heat of lead = 1.28 x 10^2 J/kg) Stephen La Rocque lui répond. |
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Two lines intersect at a right angle |
2007-04-20 |
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ellen pose la question : The line with the equation 3x + by = 6 intersects with the line 6y + ax = c at right angles at the point
(4,6). Determine the values of a, b & c. Stephen La Rocque lui répond. |
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Ax + By = C |
2007-04-18 |
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Diana pose la question : find an equation in general form Ax + By = C with the following properties passing through points (a,b) and (2a, 2b) Penny Nom lui répond. |
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Exponential form |
2007-04-16 |
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Cassia pose la question : I was just wondering, how do you write the squared root of 7x(to the 5th) in
exponential form? If you could help explain that I'd be grateful. Thanks Brennan Yaremko lui répond. |
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Simultaneous equations |
2007-04-16 |
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kyrie pose la question : simultaneous equation
4x + 3y = 21
2x * y = 8 Penny Nom lui répond. |
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How do i form a paper cone |
2007-04-14 |
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Sash pose la question : How do i form a paper cone with the height of 25 cm, the slant height
of 25.8 cm, and the radius of 6.2 cm? Stephen La Rocque lui répond. |
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Intersection of a line and a circle |
2007-04-12 |
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gaby pose la question : The sum of two numbers is 9. The sum of the squares of the two numbers is 41. Find the numbers. Steve La Rocque and Melanie Tyrer lui répond. |
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Principia Mathematica |
2007-04-12 |
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victoria pose la question : i need help making a poster on emilie du chatelet a great mathematician can you describe
the newton principia because i know that she worked on it
thanks,
victoria Stephen La Rocque and Penny Nom lui répond. |
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Solving Quadratic-Liner Equations algebraically |
2007-04-12 |
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Hector pose la question : Solving Quadratic-Linear Equations algebraically.
y=x^2-4x+3
y=x-1 Stephen La Rocque lui répond. |
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A subtraction problem with negative numbers |
2007-04-12 |
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Bridget pose la question : my daughter has to change a subtraction problem with negative numbers in it to an addition problem with negative numbers and then solve the problem such as:
-4-(-2)=? Penny Nom lui répond. |
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No solution to a linear system |
2007-04-09 |
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Ryan pose la question : When is it possible to get no solution when solving a linear system? Leeanne Boehm, Steve La Rocque, Penny Nom and Melanie Tyrer lui répond. |
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A cabinet with an arched front |
2007-04-09 |
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Joe pose la question : I am building an arched front cabinet that is 71 inches wide, 12 inches deep at both ends
and 16 inches deep at the center. To accurately build this cabinet I need to known the radius of
the circle that would form that arch.
Thanks,
Joe Penny Nom lui répond. |
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3 divided by 3 to it's fifth root |
2007-04-06 |
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Annie pose la question : How do I transform the equation 3 divided by 3 to it's fifth root to simple radical form
(getting the radical out of the denominator)? Penny Nom lui répond. |
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A "claw setting" for a gemstone |
2007-03-30 |
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Stephanie pose la question : I'm trying to make a cone out of a flat sheet of metal for a "claw setting" for a gemstone.
The cone must be 8mm wide at the top and 11mm long tapering to a point. But because the prongs must be cut out of the top the cone should not start to taper for a length of 3mm from that top 8mm. The 3mm prong is then bent over the 8mm stone. That probably doesn't make enough sense. But I don't know how to explain it. If it helps a claw setting is the very common prong setting for engagement rings or earrings. Please help as soon as possible as this is a commissioned piece for someone and I'm running out of time. I don't remember any math really from high school so please make the instructions really easy to follow. Thank You!! Penny Nom lui répond. |
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Slopes of perpendicular lines |
2007-03-27 |
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Mykolyn pose la question : How do you find the slope of a line that is perpendicular to the graph of:
y= -1/2x+4? Leeanne Boehm and Sara Ulmer lui répond. |
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Solve for x and y |
2007-03-27 |
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anthony pose la question : solve y=4x and x+y=5 Sara Ulmer lui répond. |
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The distance between two fire towers |
2007-03-23 |
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tony pose la question : Two fire towers are 30km apart, tower A is due west of tower B. A fire is spotted from the towers, and the bearing from A and B are N76degreesE and N56degreesW, respectively. Find the distance from the fire to the straight line connecting tower A to tower B. Stephen La Rocque lui répond. |
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A linear system |
2007-03-23 |
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Adam pose la question : Solve the system by graphing: 4y>6x
-3x+2y<-6 Stephen La Rocque and Penny Nom lui répond. |
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Graphing a line |
2007-03-23 |
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mitchell pose la question : Graph each equation.
y = 2x + 4 Jaymi Peterson and Haley Ess lui répond. |
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The law of cosines |
2007-03-23 |
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chetna pose la question : Q 1) In triangle LMN, l=7, m=5 , n=4. find ANGLE N.
After applying the rule and substituting values i'm getting
Cos n= 58/40. Is there something wrong. The answer at the back of the book is 34 degrees. Penny Nom lui répond. |
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The velocity of an aircraft |
2007-03-22 |
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William pose la question : Hello,
I don't understand how to work this problem. Thanks in advance for your help!
A jet moving at 500.0 km/h due east moves into a region where the wind is blowing at 120.0 km/h in a direction 30.0 degrees north of east. What is the new velocity and direction of the aircraft relative to the ground? Penny Nom lui répond. |
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A one pass calculation of standard deviation |
2007-03-19 |
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Murtaza pose la question : Hi
I searched the listings but couldn't find what i am looking for. I have a dataset and i am allowed only 1 pass through it. At the end of this pass i must have the mean and standard deviation. Calculating the mean is easy as also demonstrated in your listings. I think the same can be done for standard deviation as well. But the doubt that i have is this :- Will the calculated standard deviation be sequence dependent ? i.e. if i change the order in which the data items enter the system, will the std deviation also change ??
Thanks in advance
Murtaza Penny Nom lui répond. |
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A line that is perpendicular to another line |
2007-03-16 |
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Jesse pose la question : How do you write an equation of a line that is perpendicular to
y+2x+3 and passes through (3,4); I don't understand the steps
of how to do this???? Stephen La Rocque and Penny Nom lui répond. |
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Skewness |
2007-03-16 |
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Lyndsey pose la question : How do I calculate the skewness of a set of data? Penny Nom lui répond. |
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Negative exponents |
2007-03-14 |
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cookie pose la question : (2.50x^-3) - (3.0x^-1)
please show me how to do this. The answer in the book is 7.5 x ^-4 Penny Nom lui répond. |
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Cut a given sphere by a plane |
2007-03-14 |
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Rory pose la question : Cut a given sphere by a plane so that the volumes of the two segments formed shall be in a given ratio.
Show that in modern notation, this leads to the cubic equation
m(r+x)^2(2r-x)=n(r-x)^2(2r+x)
where r is the radius of the sphere, x is the distance of the cutting plane from the centre of the sphere, and m/n < 1 is the given ratio.
Can you help me show the solution to this question. Thank you. Penny Nom lui répond. |
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exponential decay of Carbon-14 |
2007-03-12 |
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Christine pose la question : How do I set up the exponential decay formula for Carbon 14 with an initial amount of 1500 grams. Stephen La Rocque lui répond. |
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A truncated cone |
2007-03-10 |
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Russell pose la question : Hello, I have attempted to use two of your answers already given and had no real success. This young lady is making a cat food dispenser using a truncated cone. The top of the cone as a diameter of 5 inches with a height of 6 1/2 inches and diameter of 3 inches for the bottom.
Could you please map out a solution for the both of us to understand? Thank you so much for your time and for this wonderful service.
Russell Penny Nom lui répond. |
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Statistics data |
2007-03-08 |
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Parnini pose la question : The following table shows the expenditure on different household items by a family. Draw a line graph for the following data: Items : Food Rent Cloth Education Saving Others Expenditure : 2000 2.500 1.500 1.200 4000 3.500 Stephen La Rocque lui répond. |
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The volume of a styrofoam cup |
2007-03-08 |
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leanna pose la question : find the volume of a styrofoam cup if the diameter of the top is three inches, the diameter of the base is 2 inches, and the height is 4 inches. Penny Nom lui répond. |
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A metal shroud for a outdoor fireplace |
2007-03-06 |
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Arnold pose la question : I am making a metal shroud for a outdoor fireplace, it is basically a lampshade type pattern,like the bottom of a cone.The top has to be 6 inches to fit the 6 inch stovepipe,and the bottom will be a 24 inch circle. the sides will be 18 inches in length.With the cost of the sheet metal,I can only afford to cut this out once,can you help me with the pattern ? Penny Nom lui répond. |
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Prove that the triangle ABC is isosceles |
2007-03-05 |
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Lisa pose la question : I am stuck on this problem... If AB = CD (parellel line), and Stephen La Rocque and Penny Nom lui répond. |
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The net for a pentagonal pyramid |
2007-03-05 |
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MaKayla pose la question : How many bases does the net for a pentagonal pyramid have? Penny Nom lui répond. |
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A long narrow cone |
2007-03-04 |
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Amy pose la question : I am an art student making a piece of jewelry out of a flat metal sheet. I'm trying to make a long narrow cone that's roughly 3 1/4" long and just slightly under 1" wide at the base. Since I'm no math wiz, I'm having a really hard time. Please help. Penny Nom lui répond. |
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Simultaneous equations with fractions |
2007-02-28 |
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Alyca pose la question : Hello Math Central, I am a grade 10 student taking Academic math. Our unit right now is method of substitution and elimination. I'm stuck on this one question that I've been doing forever. Please help =)
*For this equation I have to do method of elimination, but it's so much harder with fractions...could some one please explain to me how to do it step by step?* x y 2 -- - -- = - -- 3 6 3 x y 1 -- - -- = 1--- 12 4 2
Steve La Rocque and Ashley Mang lui répond. |
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The intersection of two lines |
2007-02-28 |
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Tamara pose la question : I was told to make a graph to help solve this question. I was given two equations. One was x-2y=3 and the other was 2x+y=-4. We have to change it to the equation of the line format. Then we graph the line and find the point where they meet. I've been trying to do that, but when i check the answer, It turns out wrong. It's meeting in the wrong spot. I need help please. Penny Nom lui répond. |
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Parallel lines |
2007-02-27 |
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Jennifer pose la question : How to you decide whether the graphs of these two equations are parallel linse: y=3x+2, y=1/3x+4 Stephen La Rocque and Penny Nom lui répond. |
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The lateral area of a cone |
2007-02-27 |
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Michael pose la question : Ive seen the other question about surface areas. I still don't understand the lateral area. In my math book, it has (pi * r * L) as the equation, r = radius and L = height of the cone. This is 8th grade math. Thanks. Penny Nom lui répond. |
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The radius of a cone |
2007-02-26 |
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lee pose la question : hi i have a cone to calculate, the height and radius are equal and the slant height is 0.5m
the total surface area is 15m sq i need to calculate the radius of the cone Note : this will lead to a quadratic equation could somebody have a look please Thanks Lee Penny Nom lui répond. |
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The volume of a cone |
2007-02-24 |
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SAFDAR pose la question : How to derive the formula for volume of cone? Penny Nom lui répond. |
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x^x = 2x |
2007-02-22 |
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ramsay pose la question : This has been bugging me for ages. How do find both real solutions to x^x = 2x? Obviously I have x=2, and there's another at about 0.35, but I can't work it out properly. Any help? Penny Nom lui répond. |
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A common tangent line |
2007-02-20 |
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chris pose la question : I have this problem I have been working on for days and cannot figure it out. it states: Find the two points on the curve y=x^4 - 2x^2 - x that have a common tangent line.
I know you use the first derivative to find the tangent line so if it is a common tangent line should you find two of the exact same tangent line equations at two coordinate points? Chris Fisher lui répond. |
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Surface Area of a cone |
2007-02-19 |
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Cari pose la question : I am doing a math project. I am very confused on how to find the surface area of a cone. I have looked at other equtions but i still don't understand. How do you find the surface area of a cone that has a 15cm length and a 3.5cm radius? Penny Nom lui répond. |
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An augmented matrix |
2007-02-13 |
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Mary pose la question : I've been trying for quite some time now to figure this out. I have to solve this by using the Gauss-Jordan Method: 3x - y = 15 2x + 3y = 10 Can anyone help me? Penny Nom and Gabriel Potter lui répond. |
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Exponential form of complex numbers |
2007-02-12 |
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Austin pose la question : When dealing with imaginary numbers in engineering, I am having trouble getting things into the exponential form. The equation is -1+i now I do know that re^(theta)i = r*cos(theta) + r*i*sin(theta). Just not quite understanding the order of operations. Thanks Penny Nom lui répond. |
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What is the difference between -(3) and (-3)? |
2007-02-11 |
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Mckaylla pose la question : What is the difference between -(3) and (-3)? Melanie Tyrer lui répond. |
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Volume of an inner tube |
2007-02-10 |
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Bubba pose la question : For a science project, I'm collecting methane gas in an inner tube. In addition to measuring psi of the inner tube, I'd like to calculate the volume of gas collected. What is the formula for or how would I calculate the volume of an inner tube? I appreciate any help you can give me.
Thanks so much. Bubba Penny Nom lui répond. |
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Large exponents |
2007-02-09 |
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Nick pose la question : I am trying to figure out an extremely large number. It relates to the estimated number of bacterial divisions in 12775 generations of bacteria. The problem I need to solve is: 2^12775 or 2 to the power of 12,775. Stephen La Rocque and Penny Nom lui répond. |
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Simultaneous equations with envelopes |
2007-02-08 |
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Mick pose la question : There were 17 envelopes bought, some were brown, some were white. The brown envelopes cost one cent more per envelope than the white ones. The total cost was 80 cents. How much of each type of envelope was bought? --Many thanks! Stephen La Rocque lui répond. |
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Find the next 3 terms of the sequence |
2007-02-07 |
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rose pose la question : find the next 3 terms of the sequence 2,3,9,23,48,87 Penny Nom lui répond. |
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Dividing money unequally |
2007-02-06 |
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Linda pose la question : I have a total of $13,826.48. It is to be divided by 15 kids - 2 of the kids only get half of what the other 13 do - how much do the 13 get and how much does the 2 get? Thanks Haley Ess and Steve La Rocque lui répond. |
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Nickels, dimes and quarters |
2007-02-05 |
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Avinash pose la question : Mary has 48 coins made up of nickels, dimes and quarters with a total value of $5.10. She has 4 more dimes than nickels and quarters combined. How many coins of each kind does she have? Use matrix to solve the system Stephen La Rocque lui répond. |
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Patrick's new job |
2007-02-02 |
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kathy pose la question : patrick has been offered jobs by two different automobile repair shops. his income from the first shop will be $1,200 per month plus 3% of the monthly sales. the second shop will pay patrick $1,500 per month plus 2% of the monthly sales. part a let s equal the amount of monthly sales and i equal patrick's income in dollars. write a system of two equations that could be used to determine the monthly income from either shop. part b solve the equation to determine what amount of monthly sales for each shop would result in patrick earning the same monthly income, i, from both shops Penny Nom lui répond. |
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The volume of a cone |
2007-01-31 |
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ajay pose la question : WHY VOLUME OF CONE IS ONE THIRD OF THE VOLUME OF CYLINDER? Penny Nom lui répond. |
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The substitution method |
2007-01-31 |
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Victoria pose la question : how do i solve this problem using the substitution method? 2x-5= -14 -7x+14y= -5 Stephen La Rocque lui répond. |
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The elimination method |
2007-01-31 |
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Addrianna pose la question : x-2y=2 3x-5y=7 Stephen La Rocque lui répond. |
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11^n +22^n = 55^n |
2007-01-29 |
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Ankit pose la question : 11^n +22^n = 55^n
find the value of n? Penny Nom lui répond. |
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A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream |
2007-01-27 |
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Liz pose la question : A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream. The speed of the boat in still water is 15 mi/h greater than the speed of the current. Find the speed of the current. Stephen La Rocque lui répond. |
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A curve on a cylinder |
2007-01-27 |
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John pose la question : think of a tube,say 50mm in diameter made out of cardboard, project vertical lines at right angles from the base at say every 2mm right round the tube in pencil.No pretend you can put this cardboard tube in a saw and cut it at 45degrees. Get a pair of scissors and cut it at the lowest end and lay it out flat.It now looks like a graph,how do you work out each of these vertical lengths possibly chord lengths Stephen La Rocque and Penny Nom lui répond. |
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The sum of the digits of a two-digit number is 13. |
2007-01-27 |
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Liz pose la question : The sum of the digits of a two-digit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number. Penny Nom lui répond. |
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Take $.01 and double it every day for 30 days. |
2007-01-26 |
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Pat pose la question : Take $.01 and double it every day for 30 days. How many dollars would you have? Stephen La Rocque lui répond. |
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An algebra exercise |
2007-01-24 |
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Clara pose la question : Given x + 2y = -2 and x - 2y = 18, find: a) x^2 - 4y^2 b) x^2 + 4y^2 Stephen La Rocque and Penny Nom lui répond. |
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Is -2^2 = -4 or 4? |
2007-01-23 |
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Joan pose la question : Is -2 squared, when written without parentheses around the -2, -4 or could this correctly be solved by squaring -2 (-2 x -2) for an answer of 4? Or, to correctly get an answer of 4, would the problem have to read (-2) squared? Stephen La Rocque lui répond. |
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Simplify (2x)^4 (1/2x^3)^2 |
2007-01-21 |
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Sarah pose la question : Simplify (2x)^4 (1/2x^3)^2 Penny Nom lui répond. |
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Line segments on dot paper |
2007-01-21 |
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Khaori pose la question : The three line segments below are drawn on centimeter dot paper.
a. Find the length of each segment to the nearest ten-thousandth of a centimeter. b. Could these line segments be arranged to form a triangle? If no, explain why or why not. If yes, answer this question: could they form a right triangle? Explain why or why not. Penny Nom lui répond. |
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The area of a scalene triangle |
2007-01-20 |
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Kalsi pose la question : I have a scalene triangle in which i have to find the area. Penny Nom lui répond. |
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mls and grams |
2007-01-19 |
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JJ pose la question : If I have a 2000litre pool and need to put 2mg of chlorine per litre, how many mls do I need to add? Penny Nom lui répond. |
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Points of intersection |
2007-01-18 |
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Mark pose la question : Find the points of intersection of the given pair of curves. 2x - 3y = -8 and 3x - 5y = -13 Steve La Rocque and Haley Ess lui répond. |
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A line through the point (4, 7) and parallel to the line y=2 |
2007-01-14 |
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Chasity pose la question : i am suppose to write an equation of a line through the point (4, 7) and parallel to the line y=2. please help me Penny Nom lui répond. |
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A line perpendicular to another line |
2007-01-13 |
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Dusty pose la question : Find an equation for the line perpendicular to: 3x - 4y + 1 = 0 passing through (4,7) Leeanne Boehm and Penny Nom lui répond. |
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3x > -12 |
2007-01-11 |
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Jen pose la question : In the following inequality, would one flip the inequality symbol?
3x > -12 Stephen La Rocque lui répond. |
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Negative exponents |
2007-01-11 |
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Bob pose la question : I have to write this "Y-7" (but the -7 is an exponent) as a positive exponent. How? Penny Nom lui répond. |
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Write the equation of a vertical line passing through (6,-2) |
2007-01-09 |
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Alex pose la question : Write the equation of a vertical line passing through (6,-2) Penny Nom lui répond. |
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x + 2y < 6 |
2007-01-06 |
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Mike pose la question : I understand solving by graphing, but i am having trouble with the graphing of in equalities. i solved : x + 2y<6 Penny Nom lui répond. |
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Phone number combinations |
2007-01-04 |
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Efrain pose la question : i want to know the different combinations for numbers 7 digits the number are 0-9 its basically the different phone number combinations example: 555-6689 or 565-4896 i just want to know for many different combinations are there.... Penny Nom lui répond. |
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A linear system |
2007-01-04 |
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Harold pose la question : System A (4, 2/3) 2x-3y=6 and x-3y=2
I approached this problem using the addition method.
Could i have found the answer using the graphing method? Penny Nom lui répond. |
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Two cones |
2006-12-30 |
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Cassie pose la question : A cone of radius 6 and height 12 and a different cone of radius 8 and height 12 intersect as shown in the figure below, where the vertex of one matches with the center of the base of the other. Find the volume of the intersection of the two cones (in exact form). Penny Nom lui répond. |
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Four 9s |
2006-12-15 |
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A student pose la question : Can you make 67 with four 9's without using the ceilling method? Stephen La Rocque lui répond. |
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Place value, coins and money |
2006-12-12 |
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Emily pose la question : I was wondering what the best way would be to teach place value using coins and money. I have used base ten blocks already and am looking for a way to integrate money, perhaps on a place value chart and perhaps using decimals. Diane Hanson lui répond. |
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lim x-->infinity cos x |
2006-12-07 |
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Katie pose la question : I was wondering if it was possible to find: lim x-->infinity cos x Stephen La Rocque lui répond. |
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The proof of inequality by mathematical induction |
2006-12-07 |
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Carol pose la question : S(n) = 2^n > 10n+7 and n>=10 Stephen La Rocque lui répond. |
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Linear inequalities |
2006-12-01 |
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Susan pose la question : how would I graph a linear inequality of y>3. Stephen La Rocque lui répond. |
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2x > -6 and x - 4 < 3 |
2006-11-27 |
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Alyssa pose la question : 2x > -6 and x - 4 < 3 , i need to know how to solve it and how to graph it. Stephen La Rocque lui répond. |
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cos2x=1 |
2006-11-21 |
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Christina pose la question : I'm have a hard time solving cos2x=1 for exact values between 0<_x <360 Stephen La Rocque and Penny Nom lui répond. |
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Wheat is poured on a conical pile |
2006-11-17 |
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Rachel pose la question : wheat is poured through a chute at the rate of 10 cubic feet per minute and falls in a conical pile whose bottom radius is always half the altitude. how fast will the circumference of the base be increasing when the pile is 8 feet high? Penny Nom lui répond. |
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An equation for a line |
2006-11-16 |
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Jessica pose la question : (-3,4) m=undefined write an equation for each line given the slope and a point on the line. show your work Stephen La Rocque lui répond. |
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Motorcycle expansion chamber design |
2006-11-14 |
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David pose la question : I'm interested in calculating cone information regarding motorcycle expansion chamber design for example. I guess it's called a truncated cone, from what I've read so far. If I know the center line height, small radius, and large radius of a truncated cone then, how can I calculate the angle (included angle?) the cone forms? I'd like to know the variations of the formula so I can calculate for angle, or length, or one of the diameters if I know the other two measurements. Stephen La Rocque lui répond. |
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How high is the satellite above the earth? |
2006-11-13 |
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Naomi pose la question : If the linear speed of a satellite in synchronous orbit is 1000 mi/h, how high is the satellite above the earth? Stephen La Rocque lui répond. |
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After how many hours will the class have been notified? |
2006-11-10 |
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Brittany pose la question : A college math class consists of 32 students. On Monday at 9:00 a.m., the teacher tells one student to notify other students that the test scheduled for Wednesday at 9:00 a.m. has been cancelled. The model for the number of students in the class who will have heard this information after t hours is N=32-32e^-0.02t. After how many hours will the class have been notified? Stephen La Rocque lui répond. |
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The slope-intercept form |
2006-11-08 |
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Kilihea pose la question : I need to graph this equation but first need to turn it into a slope-intercept form. 6x - 3y = -3 I would really appreciate it if you could help me turn it into a slope-intercept form. Penny Nom lui répond. |
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Simultaneous equations |
2006-11-06 |
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An other pose la question : e^2y-x+2=0 ln(x+3)-2y-1=0 Penny Nom lui répond. |
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Newton meters and ft-lbs |
2006-11-04 |
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Michael pose la question : What is the correlation between Newton meters and ft-lbs of torque? If an engine has 100ft-lbs of torque,what would that equate to in Newton meters? Stephen La Rocque lui répond. |
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The distance from a point to a line in 3 space |
2006-10-29 |
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Marie pose la question : find the distance from the point (1, -2, -3) to the line x = y = z-2 Penny Nom lui répond. |
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Zero as an exponent |
2006-10-28 |
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Don pose la question : Any real number (except zero) to the zero power equals 1 correct? Question: If for example x to the zero power equals 1 What is -x to the zero power equal to? What is -(x) to the zero power equal to? Penny Nom lui répond. |
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Ratios, proportions and medicine |
2006-10-25 |
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Steven pose la question : I don't understand why we need to learn about ratios and proportions because i want to become a doctor and i don't know if i'll ever use this type of math. Penny Nom, Claude Tardif and Walter Whiteley lui répond. |
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Putting things in exponent form |
2006-10-18 |
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Sheila pose la question : Write in exponential form 2 sq. root a with an exponent 5. I do not understand on how to do it. Stephen La Rocque lui répond. |
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How many feet tall is the tunnel |
2006-10-14 |
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Charles pose la question : A tunnel in the Smoky Mountains is semicircular. At a distance of 12 feet from the center of the tunnel, the tunnel has a height of 16 feet. How many feet tall is the tunnel at its center? Penny Nom lui répond. |
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A specific 8 digit number in a 11 digit mobile phone number |
2006-10-13 |
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James pose la question : I need to know the chance of finding a specific 8 digit number in a 11 digit mobile phone number.
the number must be 29571596 and the 11 digit phone number must end in this.
All numbers 0-9 are used in a mobile number but the first 2 digits will always be 07.
Is there a way to work this out?? Stephen La Rocque lui répond. |
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Solving a linear equation |
2006-10-12 |
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Eriona pose la question : 6p-5=17. I have to solve the equation. Penny Nom lui répond. |
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Plotting a linear equation |
2006-10-09 |
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Jennifer pose la question :
I am having problems explaining how to do these problems to my child .
graph:2=x-y
graph the equation: 2y+x=-3
Penny Nom lui répond. |
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How many line segments are necessary? |
2006-10-04 |
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Varun pose la question : If you place 35 points on a piece of paper so that no three are collinear, how many line segments are necessary to connect each point to all the others? Stephen La Rocque lui répond. |
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Inequalities |
2006-10-03 |
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Maleeha pose la question : a)Use algebra to find the set of values of 'x' for which x(x-5)>36.
b)Using your answer to part a, find the set of values 'y' for which y2(y2-5)>36 Penny Nom lui répond. |
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Family of lines |
2006-09-29 |
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Sasha pose la question : could a "Family of Lines" have both parallel and intersecting equations that aren't related directly but otherwise related by each other to create a curve Chris Fisher lui répond. |
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2 5 11 17 23 31 ? |
2006-09-28 |
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Bernice pose la question : How do you determine the next number in the following sequence: 2 5 11 17 23 31 ? Penny Nom lui répond. |
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Computing gravity |
2006-09-27 |
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Patricia pose la question : What is the gravity of planet z in inch/hr squared if the weight of an element with mass of 45000 oz on planet z is 2N? Stephen La Rocque lui répond. |
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a _________________ line forms a 90 degree angle with another line |
2006-09-24 |
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Lisa pose la question : a _________________ line forms a 90 degree angle with another line is this to it
what fills in the blank? first letter is E third letter is R and has 13 letters Stephen La Rocque lui répond. |
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Linear systems |
2006-09-21 |
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Alexander pose la question : Hello, i have a math assignment due tonight at midnight and i need some help please
It is using the addition method to solve linear systems Penny lui répond. |
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Constructing a cone |
2006-09-20 |
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Suresh pose la question : i want to know the required size of plate for cone rolling,sizes are 2950mm is bottom dia,894 is top dia and 600 is height.I have already read u r answers but i little bit confused ,harely and sue have given useful answers but when i worked both method the required plate size is different. so i like to know which method is easy and correct.and also i like know whether it can be rolled without segment my rolling machine width is 1500. Penny Nom lui répond. |
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Is this unsolvable? |
2006-09-19 |
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Al pose la question : Is this unsolvable???
2xy + 3x^2 - 3y + y^3 = 4x + 3 where y=3. Penny Nom and Claude Tardif lui répond. |
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Convert a standard form to a slope intercept form |
2006-09-14 |
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Maiko pose la question : I need to know step by step procedures to convert a standard form to a slope intercept form? Penny Nom lui répond. |
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Plotting co-ordinates on a number plane |
2006-09-08 |
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Victor pose la question : I need to plot co-ordinates (0,2), (2,-2), (-2,0), and (0,0) on a number or co-ordinates plane, I am not sure how to do this, and get lost after the first point, can you please help? Penny Nom lui répond. |
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The radius of a cone |
2006-09-08 |
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Hermanson pose la question : I know the cone is 20 degrees at the top and 80 degrees at the bottom. What is the formula for finding the radius? Stephen La Rocque lui répond. |
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Rays |
2006-08-31 |
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Natasha and daughter pose la question : My daughter, Natasha, is in 4th grade. She had the following homework question about rays that confused us:
Name as many rays as you can in the figure below. Penny Nom lui répond. |
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Grossing up payroll wages |
2006-08-27 |
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Katie pose la question : I really need to understand (spelled out step by step) how to gross up payroll wages. Penny Nom lui répond. |
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A base number raised to the power of 0 |
2006-08-24 |
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Sheila pose la question : I'm a 5th grade teacher and need some help with a base number raised to the power of 0 always being 1. My kids asked me why and I told them I'd find out. Penny Nom lui répond. |
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An angle in a parallelogram |
2006-08-13 |
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Sam pose la question : Parallelogram ABCD has diagonal AC equal in length to side AB. CD is produced to E so that D is between E and C. If angle BAC =30 degrees find the size of angle ADE. Stephen La Rocque lui répond. |
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How fast is the water level rising |
2006-08-12 |
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Erin pose la question : Water runs into a conical tank at the rate of 9ft3/min. The tank stands point down and has a height of 10 ft. and a base radius of 5 ft. How fast is the water level rising when the water is 6 ft. deep? (V=1/3 pi r2 h). Penny Nom lui répond. |
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A problem with exponents |
2006-08-09 |
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A student pose la question : (8a to the negative 2 b cube c to the negative 4/4a squared b to the negative 3 c squared) to the negative 2 Stephen La Rocque lui répond. |
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I want to calibrate a glucose meter |
2006-07-27 |
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John pose la question : If I have 3 glucose control solutions having:
Low - 50 mg/dl
Normal - 100 mg/dl
High - 330 mg/dl
I want to calibrate a glucose meter but I need more than these 3 data points. How can I mix these up to get different concentrations in between 50 and 100, 100 and 330. I would like to mix up different concentrations and put them in test tubes or whatever to do some calibration work. Like 70 mg/dl, 90 mg/dl, etc. More data points should be in between say 50 and 100 since this is normal, 90 mg/dl is considered close to normal.
Stephen La Rocque lui répond. |
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Quadratics and quintics |
2006-07-18 |
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Lynne pose la question : What is wrong with this statement? "The quintic is one step up from the dread quadratic equation." (Newsweek, Dec. 19, 2005) Stephen La Rocque lui répond. |
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A problem with arc sine |
2006-07-07 |
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Scott pose la question : How to prove arc sin x = arc tan( (x)/√(1-x2))
Penny Nom lui répond. |
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Flying with and against the wind |
2006-07-06 |
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Tim pose la question : When a plane flies with the wind, it travels 800 miles in 4 hours. Against the wind it takes 5 hours to cover the same distance. Find the rate of the plane in still air and the rate of the wind. Stephen La Rocque lui répond. |
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How old is y = mx + b? |
2006-07-05 |
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Beckie pose la question : I am taking intermediate algebra this summer (Math 95), and have a question for you. My instructor will award extra credit points to any of us who find out how old the formula
y = mx+b is. Would you happen to know the answer? Penny Nom lui répond. |
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A trig problem |
2006-06-24 |
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Greg pose la question : A and B are two towers, B being 4 km due east of A. The true bearings of a flagpole, C, from A and B are α east of north and α west of north respectively. The true bearings of a second flagpole, D, from A and B are (α + β) east of north and (α - β) west of north respectively. Assuming A, B, C, and D are on level ground, and that α = 25, β = 10, find the distance between C and D. Penny Nom lui répond. |
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The area of a sector and a triangle |
2006-06-23 |
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Howard pose la question : I thought of the following problem which is similar but much simpler than the tethered goat problem: What is the angle(it is more illustrative in degrees)of arc of a unit circle so that the area between the chord it subtends and the arc length is equal to the area of the triangle with opposite side the subtended chord. Stephen La Rocque and Penny Nom lui répond. |
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2 to the -5th power |
2006-06-19 |
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Murray pose la question : Is 2 to the -5th power = -32? Penny Nom lui répond. |
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13 57 91 11 31 51 ?? |
2006-06-15 |
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Chastity pose la question : im trying to determine the missing number in the sequence
13 57 91 11 31 51 ?? Claude Tardif, Steve La Rocque and Natasha Glydon lui répond. |
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The chord length of a polygon |
2006-06-14 |
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Krishna pose la question : I have to find out the chord length of a polygon - Tetradecagon ! The Radius of the Circle is 11.5 Cms. The Circle is intersepted by 14 arcs. Then how to find out the chord length? Stephen La Rocque lui répond. |
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Square feet and linear feet |
2006-06-10 |
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Richard pose la question : Need to know how many linear ft are in 2800 sq.ft Penny Nom lui répond. |
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Pyramids and cones |
2006-06-06 |
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Melissa pose la question : I was wondering if a cone can be considered a pyramid. Looking at many definitions of pyramids I have read that pyramids come to a common vertex. A cone comes to a vertex. But I also read that pyramids all have triangular faces. In this case a cone would not be considered a pyramid. Am I correct? Chris Fisher lui répond. |
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Three people go to a store where there is a sale |
2006-05-30 |
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Geocee pose la question : Three people go to a store where there is a sale. One person buys two shirts, one pair of pants and one sweater. The second person buys one shirt, two pairs of pants and two sweaters. The third person buys three shirts and four pairs of pants. Find the price of each item if the first person spent $155 and the second and third person spent $235 each. Stephen La Rocque lui répond. |
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A truncated cone |
2006-05-28 |
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Phil pose la question : Hi, I am an art student and I am trying to make a "truncated cone" (ie: a cone with the top cut off) out of sheet metal. I need to design a template first and am having problems working out the angles. The truncated cone is 250mm high, 550mm wide at the bottom and 290mm wide at the top. Can you help? Stephen La Rocque lui répond. |
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Simultaneous Equations |
2006-05-24 |
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Angie pose la question :
Question: solve the equations
2x-3y-z=0
3x-2y+z=-5
x+3y-2z=14
for x,y,z
Stephen La Rocque lui répond. |
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How do you graph 3x + 6y = -9 by axis intercepts? |
2006-05-22 |
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Crystal pose la question : How do you graph 3x + 6y = -9 by axis intercepts? Penny Nom lui répond. |
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The interior angles of a right triangle |
2006-05-20 |
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Greg pose la question : I am wondering if there is a way to figure out the interior angles of a right triangle if we know ONLY the side lengths, and the trick is, we CANNOT use arctangent! Leeanne Boehm and Penny Nom lui répond. |
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I want to calculate 0.00353 to the power 1.3 |
2006-05-14 |
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Richard pose la question : I want to calculate 0.00353 to the power 1.3 How do I do it? Stephen La Rocque lui répond. |
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Simplifying with negative exponents |
2006-05-02 |
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Kristine pose la question :
I am having a hard time understanding factoring and multiplying
polynomials. I have a couple of problems I just can't get, can you
please help me?
Simplify, do not use negatives in the answer:
(5a-1b-7)(-2a4b2)
and:
(5x2y-7z)(-4xy-3z-4)
Stephen La Rocque lui répond. |
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Pythagorus and cone dimensions |
2006-04-26 |
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Glynnis pose la question : How do you find the measure of a side that is not the hypotenuse using the Pythagorean Theorem? Also, how do you figure the surface area and volume of a cone when the radius is 5 yards and the height is 8 yards? Stephen La Rocque lui répond. |
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Marine shipping - fuel consumption |
2006-04-26 |
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Sandy pose la question : When a ship is 800 nautical miles from port its speed is reduced by 20%,
thereby reducing the daily fuel consumption by 42 tonnes and arriving in
port with 50 tonnes onboard. If the fuel consumption per hour is given
by the expression (0.136 + 0.001V^3) where V is speed in knots;
Estimate a) reduced consumption per day b) fuel onboard when speed reduced
c) normal consumption for 800 nautical mile voyage d) increase in steaming
time Stephen La Rocque lui répond. |
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Absolute Value vs. Standard Deviation ? |
2006-04-24 |
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Sonia pose la question : Why we don't just take the average of the absolute value of difference scores (use the mean deviation) to describe variability instead of calculating the standard deviation? Claude Tardif lui répond. |
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What is the surface area of a cone with a hemisphere on top? |
2006-04-20 |
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Jordan pose la question : How do you find the surface area of a cone with a hemisphere on top? The only information I have is the radius of the hemisphere, which is 4, and the total height, which is 7. Stephen La Rocque lui répond. |
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Geometric sequence and basic functions (graphs) |
2006-04-20 |
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Marlene pose la question : Which of the basic functions is related to the geometric sequence:
Linear, Quadratic, Rational, or Exponential?
Can you give me an example of how it would be used in normal life? Stephen La Rocque lui répond. |
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Equation of a line in Ax + By = C form |
2006-04-19 |
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Christopher pose la question : How do you write the equation of a line with a slope of 3/8 and passing through (-4,6) in Ax+By=C form? Stephen La Rocque lui répond. |
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Cubic yards of landscape stone |
2006-04-19 |
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Janet pose la question : I need to spread landscape stone around my pool. A landscaper said I need 16 yards. What is the area of a cubic yard if I want the stone 3" deep? Stephen La Rocque lui répond. |
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Cone dimensions |
2006-04-12 |
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Mirnela pose la question : The height of a cone is 40 and the radius is 9. How
do I find the slant height of this?
Also, how do I find the area of the base of a cone if the radius is 7?
Stephen La Rocque lui répond. |
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Finding the inverse of a function |
2006-04-12 |
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Sam pose la question : If g(x) = 2x+3/5 then how do I find the inverse? Walter Whiteley lui répond. |
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Given three angles and a side |
2006-04-09 |
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Jon pose la question : How do you figure out the length of all sides of a scalene triangle if given the measure of all angles, and one side? Stephen La Rocque lui répond. |
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Equations of two lines |
2006-04-05 |
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Wael pose la question : Determine a cartesian equation of the line passing through A and V as a direction vector?
1- A (2;1) and V = j
2- A (2;3) and V = i Penny Nom lui répond. |
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A 20 foot container |
2006-04-05 |
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Karen pose la question : can you tell me how many cubic square meters are in a 20 foot container Stephen La Rocque lui répond. |
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x-7=20 and 2x+5=17 |
2006-04-04 |
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Janette pose la question : I'm trying to help out my daughter, it has been much too long since I've been in school. The question is x-7=20 and the other question is 2x+5=17. What are the formulas? Penny Nom lui répond. |
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2x+5y=3 And -x+3y=-7 |
2006-04-03 |
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Lloyd pose la question : simplify 2x+5y=3 And -x+3y=-7
Penny Nom lui répond. |
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An exponential function |
2006-04-03 |
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Meadow pose la question : The graph of an exponential function passes through the points (0,1) and (4,10) find the constant of growth or decay. State the function. Stephen La Rocque lui répond. |
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Exponential decay |
2006-03-29 |
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Casey pose la question : Fifty milligrams of a drug was injected into a patient at 6am. The drug is known to be eliminated according to the law of exponential decay. At 8.30am it was determined that 60% of the drug remained in the body. How many milligrams will remain in the body at midday? Penny Nom lui répond. |
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Angular velocity |
2006-03-28 |
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Ben pose la question : How do you (a) express angular speed in terms of linear speed and (b) express linear speed in terms of angular speed? Stephen La Rocque lui répond. |
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A line parallel to a plane |
2006-03-28 |
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Ryan pose la question :
I was wondering how I would prove the following theorem. I am completely lost at this point and all my other ideas have been extremely complicated and somewhat blurry.
"Through a point outside a given plane, there is at least one line parallel to the given plane."
Chris Fisher lui répond. |
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Solve the equation cos x = sin 20 where x is acute. |
2006-03-26 |
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Elle pose la question : Solve the equation cos x = sin 20 where x is acute. Stephen La Rocque lui répond. |
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A number puzzle |
2006-03-22 |
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A teacher pose la question : Students brought this website to my attention and asked why this puzzle worked... I'm not sure. The url is: http://digicc.com/fido/ and it tells you to choose a 3 or 4 digit random number with different digits. Write it down, rearrange, subtract the smaller from the larger. then circle a nonzero digit, type the remaining digits into the space provided and they will tell you the number you circled. Can you provide the reason that this works. Claude Tardif and Penny Nom lui répond. |
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The volume of water in a cone |
2006-03-21 |
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Ghulam pose la question : A vessel has the shape of an inverted cone.The radius of the top is 8 cm and the height is 20 cm. Water is poured in to a height of x cm.Show that if the volume of the water is V cubic cm,then V=(4/75)pi x3. Penny Nom lui répond. |
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How far from Earth is Neptune? |
2006-03-21 |
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Scott pose la question : A laser beam travelling at the speed of light bounces off the planet Neptune and returns to Earth in 29 960.72 s. The speed of light is 299 792.5 km/s. How far from Earth is Neptune? Penny lui répond. |
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Three towns are located at the vertices of an equilateral triangle |
2006-03-20 |
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A student pose la question : three towns are located at the vertices of an equilateral triangle. The towns are 8, 5, and 3 miles, respectively, from a store. How far apart are the towns? Chris Fisher lui répond. |
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Linear feet on a paper roll |
2006-03-20 |
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Vishal pose la question : I WOULD WISH TO KNOW OF A STANDARD FORMULA BY WHICH I CAN CALCULATE THE LINEAR FEET OF A PAPER ROLL AS PER THE FOLLOWING DETAILS:-
THICKNESS: 150 GSM (GRAMS PER SQUARE METER)
REEL WIDTH: 85 CM
REEL DIAMETER: 140 CM
REEL INNER CORE: 10 CM
REEL WEIGHT: 946 KG's
Stephen La Rocque lui répond. |
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Back to the nines |
2006-03-15 |
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Victoria pose la question :
Can you answer this problem, does an answer exist?
- Get a set of numbers 1-9 !
- Using the whole set of nine number tiles (digits 1-9), try to arrange them to make three 3-digit numbers so that the sum of the first two is the third.
Can this be done without carrying over? If not can it be done without carrying over into the hundreds column? Claude Tardif lui répond. |
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2x+3y=0 and 3x-y=0 |
2006-03-14 |
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Lisa pose la question : my name is lisa I am doing math for work and i have a math problem to solve and i need help with it here is the question 2x+3y=0 and 3x-y=0 this is one question can you help me please Penny Nom lui répond. |
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8,_,4,9,1,_,10,3,_,0 |
2006-03-08 |
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Rachel pose la question : I cant figure out this sequence if someone could help me
8,_,4,9,1,_,10,3,_,0 Claude Tardif lui répond. |
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2,4,9,6,5,6,____,____,____,... |
2006-03-06 |
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Mike pose la question : I am having problems figuring out the following sequence:
2,4,9,6,5,6,____,____,____,...
We were able to guess that the pattern simply started to reverse itself,
but I was wondering if there were other possibilities.
Claude Tardif lui répond. |
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The nth term |
2006-03-05 |
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Umar pose la question : my question is what is the nth term for a house of cards 4 stories high if you use the following numbers:
2 7 15 26 Penny Nom lui répond. |
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A cone with an oval as base |
2006-03-01 |
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Richard pose la question : I am trying to find the volume of a cone that is not round but oval. Penn Nom lui répond. |
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The path of a submarine |
2006-02-26 |
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Meadow pose la question : Suppose that a submarine has been ordered to follow a path that keeps it equidistant from a circular island of radius r and a straight line shoreline that is 2 units from the edge of the island. Derive an equation of the submarine path, assuming that the shoreline has equation x = -p and that the center of the island is on the x-axis. Penny Nom lui répond. |
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The graph of y = 2x + 1 |
2006-02-23 |
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Geneva pose la question : I'm having trouble with graphing equations like y=2x+1 which is my homework I'm not sure how to graph it. I'm in the 8th grade taking a 9th grade course algebra I. Penny Nom lui répond. |
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The nth term of a sequence |
2006-02-21 |
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Mike pose la question : I'm having trouble finding the nth term in an equation, can you help me? Stephen La Rocque lui répond. |
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Broken-line graphs and histograms |
2006-02-16 |
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George pose la question :
1. What is the main difference between a broken-line graph and a histogram? Both represent continuous variables.
2. What is the correct way to read a multiplication array: x-axis first and then y-axis, other way around or it doesn't matter?
Penny Nom lui répond. |
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A lampshade shape |
2006-02-11 |
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Rose pose la question : Is there a solid shaped like a lampshade? Or do you just call it the bottom portion of a cone? Penny Nom lui répond. |
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sinh(i/2) |
2006-02-09 |
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Louis pose la question : How can you set up an equation to find sinh(i/2) Penny Nom lui répond. |
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preuve par neuf |
2006-02-08 |
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Thonet pose la question :
Je suis enseignante en primaire en Belgique et j'aii actuellement une stagiaire étudiante qui va devoir apprendre à mes élèves comment fonctionne la preuve par 9. Elle sait expliciter concrètement celle-ci et a trouvé l'explication du pourquoi de sa fonction mais nous ne savons pas l'origine de cette application mathématique...
Qui l'a inventée ? Pourquoi ? ...
Pourriez-vous nous éclairer ?
Claude Tardif lui répond. |
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Find the ground speed and the planes true heading. |
2006-02-05 |
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Jimmie pose la question : An aircraft going from city A to city B on a bearing of S69E (degrees) is traveling at a speed of 430 mph. The wind is blowing out of the north to south at a speed of 25 mph. Find the ground speed and the planes true heading. Penny Nom lui répond. |
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How do you find the angles in a triangle? |
2006-01-27 |
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Keith pose la question : How do you find the angles in a triangle if you know the lengths of the sides? Chris Fisher and Penny Nom lui répond. |
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Two parallel lines |
2006-01-22 |
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Marbara pose la question : On my math homework I have a problem where it says find the value of x so that L is parallel to M
on one of the there are three lines. the top one is horizontal which is L. the bottom one is also horizontal directly under L which is M. there is another line that is diagonal going through the middle sections of L and M.
To the right of the diagonal line and right under line L is an equation 5x-10
to the right of the diagonal line and right above line M is an equation 8X-5
I tried to find what X is but I can't because it never matches both equations no matter what way I try to do it. Penny Nom lui répond. |
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One boundary of a pond is parabolic in shape. |
2006-01-20 |
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Glenn pose la question : One boundary of a pond is parabolic in shape. The boundary passes through the points A(-20,45), B(40,40) and E(30,35). The equation of the parabola is of the form y=ax2+bx+c. Find the equation of the parabola and the coordinates of the vertex of the parabola. Any assistance you could provide would be greatly appreciated. Penny Nom lui répond. |
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Intercepts and slope |
2006-01-15 |
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Anthony pose la question : Given -1.7x + 0.8y=7.1:
(a) state the intercepts and slope for the graph
(b) Draw the graph Penny Nom lui répond. |
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Who is lying? |
2006-01-14 |
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Diane pose la question : A business man was working in his home office when he realized he had left a five-dollar bill in the book he had been reading. He called his butler to bring him the book from the library. When he got the book, the bill was no longer there. He then questioned the maid and the butler. The maid remembered seeing the bill between pages 99 and 100 in a book to the left of a business book. The butler did not recall seeing the bill, but was sure the book was to the right of the business book, because to the left of it there was a statistics book. Who is lying?
Penny Nom lui répond. |
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y - y1 = m(x - x1) |
2006-01-08 |
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Greg pose la question : How do you change 2x + 3y = 7 into y - y1 = m(x-x1)?
Penny Nom lui répond. |
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Extraneous solutions |
2006-01-01 |
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Liz pose la question :
Question: solve and check for extraneous solution
3(w + 1)1/2 = 6
Penny Nom lui répond. |
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Simultaneous Equations |
2005-12-21 |
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Matt pose la question : I have these two equations,
336 = 60a + 10b
and
432 = 84a + 6b
Am I right in saying both a and b are 4.8? Penny Nom lui répond. |
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-3^4 and (-3)^4 |
2005-12-17 |
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Brad pose la question : What is the answer to
-34 = ?
-(3)4 = ?
(-3)4 = ? Penny Nom lui répond. |
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5(x-3)/4 =x+1 |
2005-12-14 |
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Jennifer pose la question :
I have two problems i am stumped on I don't know how to help my daughter.
5(x-3)/4 =x+1
3(x+12)/5 =x +2
Penny Nom lui répond. |
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2/n +4 = 10- 4/3n |
2005-12-11 |
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Jennifer pose la question :
2/n +4 = 10- 4/3n
5(x-3/4) = x+1
Penny Nom lui répond. |
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A sheet metal cone |
2005-12-05 |
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Laura pose la question : I am an art student and in the process of making a cone out of sheet metal. I am unable to work out the template I need to produce my final cone. The dimensions I have are that the final cone will be 58mm high and will have a diameter of 102mm. Penny Nom lui répond. |
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A long distance call |
2005-12-05 |
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A student pose la question : The Small World long distance phone company charges 55cents for the first minute of a long distance call and 23cents for each additional minute.
1. How much would a 10- minute long-distance call cost?
2. If a call costs $4.55. how long did the call last?
3. Write an equation for the total cost, C, of an m-minute long-distance call. Penny Nom lui répond. |
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How do you simplify a fraction if one of the numbers is negative? |
2005-12-05 |
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Stephanie pose la question :
Question: How do you simplify a fraction if one of the numbers is negative?
Ex. -32/40
Penny Nom lui répond. |
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Solve for x |
2005-12-04 |
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Lisa pose la question : 5(x-4)=3(2-3x) Penny Nom lui répond. |
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A pattern for a truncated cone |
2005-12-04 |
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Nick pose la question : I need to make a large cone segment. The large end has ID of 57 inches and the small end has ID of 23 inches. The cone is essentially a 45 degree cone (90 degrees at the tip). The sides of the segment are 2 feet long. How do I lay out a flat pattern that will fold into this segment? I need to know radius 1 and radius 2 and the angle the piece must be. Penny Nom lui répond. |
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A truncated cone |
2005-12-03 |
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Sonny pose la question : I need to create a template for a cone that has a 2" opening at the top, a
4" base and stands 6" tall. Can you tell me how to achieve this? Penny Nom lui répond. |
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An integer equation |
2005-12-01 |
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Henry pose la question : 3x = 2y + 7
I know the answer: x=9 and y=10, but what are the algebraic steps to solve the equation? Penny Nom lui répond. |
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Express t as a function of d |
2005-11-30 |
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Matthew pose la question :
I have a problem on my homework I cant seem to figure out. Basically it gives me this Linear Regression Equation:
ln t=1.5 ln d-0.8954
and it wants be to transform the equation expressing t as a function of d. For some reason I keep getting it wrong. Anyone got an idea of how to do this?
Penny Nom lui répond. |
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Graphing two lines |
2005-11-20 |
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A student pose la question : About y = 5x + 24 and y = -3x - 8
1. Graph both equations on the same set of axes. When you made your graph, how did you choose the range of x and y values?
2.Find the point of intersection for the graphs.
3. Test the point of intersection you found by substituting its coordinates into the equations. Do the coordinates fit the equations exactly? Penny Nom lui répond. |
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Solving a pair of equations |
2005-11-10 |
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Steven pose la question : what is answer to
2 x + y = 1
y = -1/3 x - 4 Penny Nom lui répond. |
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-120 divided by -15 |
2005-11-09 |
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Joshua pose la question : how do you evaluate -120 divided by (-15) Penny Nom lui répond. |
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How many passengers boarded the plane in Phoenix? |
2005-11-03 |
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Vish pose la question : Passengers boarded a plane in Phoenix. In Dallas 1/2 of the passengers got off and 4/5 of the original number got on. In Memphis 3/4 of the passengers got off and twice the number of remaining passengers got on. In Chicago 2/3 of the passengers got off the plane leaving 39 passengers. How many passengers originally boarded the plane in Phoenix? Penny Nom lui répond. |
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2, 6, 12, 20, 30, ... |
2005-11-01 |
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Rebecca pose la question : I have a sequence of I have a sequence of 2, 6, 12, 20, 30, and have no idea how to figure out the nth term please help! Claude Tardif lui répond. |
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Volumes |
2005-10-31 |
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Diane pose la question : My name is Diane and I am a returning student to a vocational technical school.
As a reference point to see what I did/didn't remember from my HS math days, I was sent home with a 75 problem math packet. I was fine until I got to computing:
1. the volume of a cylinder-is it pi r2 h?
2. the volume of a cone- is it pi/3 r2 h?
3. the volume of a sphere- I can't even hazard a guess.
Help- my last classroom was 23 years ago, and I've forgotten far too much! Penny Nom lui répond. |
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(-2^6) = ? |
2005-10-29 |
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Amy pose la question : My teacher gave me the problem (-26) on our homework. She marked it wrong when I wrote down -64 for an answer. She said the correct answer was 64. Can you explain why it is 64? Penny Nom and Leeanne Boehm lui répond. |
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A slump cone |
2005-10-27 |
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Wendy pose la question : we are trying to make a slump cone (used to measure the slump in concrete). It has dimensions of 8" diameter on the bottom, 4" diameter hole on the top and a height of 12".
Please help, it is getting frustrating. Penny Nom lui répond. |
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A conical hat |
2005-10-22 |
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Manish pose la question : I need to make a conical hat for my daughter's upcoming fancy dress, the circumference of the base(hollow) is 50 cms,the height of the cone is 30 cms,what should be the dimensions of the paper which will make a cone of the beforementioned dimensions? Penny Nom lui répond. |
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sin(kx) = x |
2005-10-20 |
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David pose la question : What is an integer value for k so that sin(kx) = x has exactly 2005 solutions? How does one arrive at the answer? Harley Weston lui répond. |
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What is the angle between 2 non-collinear parallel lines? |
2005-10-17 |
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Ben pose la question : What is the angle (if any) between 2 non-collinear parallel lines? Chris Fisher and Walter Whiteley lui répond. |
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A random sample |
2005-10-16 |
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Stu pose la question : If I have a set of data points (14 to be exact)of unknown pedigree from a large population, what tests can I apply to see if they constitute a random sample from the large population? Andrei Volodin and Penny Nom lui répond. |
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2x - 5x + 6.3 = -14.4 |
2005-10-16 |
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Leslie pose la question : How do we solve 2x - 5x + 6.3 = -14.4 Penny Nom lui répond. |
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Simultaneous equations |
2005-10-13 |
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Daniel pose la question : 5x + 3y = 22
4x - 7y = -20 Penny Nom lui répond. |
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Open dots and closed dots |
2005-09-29 |
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Cynthia pose la question : When graphing the solutions of an inequality, what is the difference between an open dot and a closed dot? Penny lui répond. |
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A cone with vertex (1,1,2) |
2005-09-26 |
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Brandon pose la question : Find the equation of a double cone with vertex (1,1,2) and which intersects the xy plane in a circle of radius 4. Penny Nom lui répond. |
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Find the next 5 terms |
2005-09-24 |
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Grant pose la question : n+7, 2n-0.5, 4n. Find the next 5 terms of each one and explain the sequence in words Penny Nom lui répond. |
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A piecewise function |
2005-09-15 |
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Duncan pose la question : A child is assigned to your care and she has a headache. The parent has authorized the administration of Children's Tylenol. Read a box of Children's Tylenol (or any other similar drug) and find the directions for administration. Note the child's weight and the corresponding dosage. (Be sure the drug you choose has a minimum of 4 weight intervals.)
Penny Nom lui répond. |
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Finding the nth term |
2005-09-12 |
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Paul pose la question :
Hi , Im having a problem helping my daughter to find the Nth Term in the following sequences.
1/3 1/2 3/5 2/3
and
1 3 6 10
Penny Nom lui répond. |
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Adding positive and negative numbers |
2005-09-03 |
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Billy pose la question : 46 + -24 =
-38 + -22 =
19 - 20 = Penny Nom lui répond. |
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12-42, 8-26, 10-34, 9-30, 16-58 |
2005-08-31 |
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Elizabeth pose la question : here is a math question my niece gave me, grade 7
12-42, 8-26, 10-34, 9-30, 16-58
first day of school and this is what they give her no explanation Harley Weston lui répond. |
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1,4,9,1,6,2,5,3,6,4,9,6,4,8,1 |
2005-08-30 |
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Liz pose la question : Find the next four numbers to the sequence 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,___,___,___,___. Penny Nom lui répond. |
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Graphing a linear inequality |
2005-08-26 |
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Gina pose la question : When graphing a linear inequality, how do you know if the inequality represents the area above the line? Penny Nom lui répond. |
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Labour efficiency |
2005-08-23 |
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Rob pose la question :
The problem, on the surface, seems very simple and yet has created some controversy among a group of accountants. The problem itself has to do with labour efficiency rates and only involves two variables; standard working hours, and actual working hours. The difficulty lies in deriving an efficiency % from these two numbers.
Standard working hours or the targeted number of labour hours required to produce one widget, which I will represent as "s". Actual working hour or the actual number of labour hours require to produce one widget, which I will represent as "a". Labour efficiency I will represent with "E". The prevailing calculation with which I have a problem with is this:
s/a=E or if s=3000, and a=4000 then 3000/4000=75%
What bothers me about the calculation is that the standard hours get represented as a percentage of the actual hours and in my opinion changes the focus of the calculation from standard or target, where it should be, to the actual hours. I cannot define why, but this just seems inherently wrong to me.
The calculation that I use:
(1+((s-a)/s))=E or if s=3000, and a=4000 then (1+((3000-4000)/3000))=66.67%
My calculation is like a %change from standard calculation. However, there is something that also concerns me about my calculation.
If you substitute 100 for a and 50 for s, then you come to a quandary, because if you plug those numbers into the second equation the result is of course zero % efficient which doesn't sit right with me either. If you plug them into the first calculation you get 50% efficiency which doesn't really seem to work either, because you require 100% more hours to do the same work in this case. ???
Is the first calculation correct? Am I missing something altogether? Are both calculations off base? Harley Weston lui répond. |
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Which number is greater? |
2005-08-18 |
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Dante pose la question : Which number is greater: 888....88 X 333...33 or 444.......44 x 666........67 (each of the numbers has 1989 digits)? Claude Tardif lui répond. |
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What is the radius of this planet |
2005-08-05 |
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Kelly pose la question : Assuming that a North-South line has been established, you set up two camps that are 67 miles apart. You now set up poles at each camp perpendicular to the ground. On a certain day at "noon" the pole at the South camp casts no shadow, while at the North camp a shadow is cast. The shadow makes an angle of 89 degrees with the horizontal. What is the radius, diameter, and circumference of this planet? Chris Fisher lui répond. |
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The period of sin(x) + cos(x) |
2005-07-21 |
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A student pose la question : WHAT IS THE PERIOD OF SIN(X)+COS(X)? Penny Nom lui répond. |
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The volume of a pool |
2005-07-09 |
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Douglas pose la question : I have a pond that I need to treat with an anti algae solution which needs to applied based on the volume of water in the pond (in gallons).
The rough diameter of the surface of the pond = 25 ft
The depth of the pond = 8 ft
The pond shape is conical
How many gallons of water are in my pond? Penny Nom lui répond. |
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The substitution method |
2005-06-28 |
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Addie pose la question : how do i know where to began the substitution method? how do i solve
y = x + 1
2x - y = 1 Penny Nom lui répond. |
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Which is larger, 31^11 or 17^14? |
2005-05-29 |
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Linda pose la question : Which number is greater 3111 or 1714 (without using
calculator). Chris Fisher and Paul Betts lui répond. |
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50^99 and 99! |
2005-05-23 |
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Romel pose la question : Which number is greater, 5099 or 99! Claude Tardif lui répond. |
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Angle of incline |
2005-05-15 |
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Kyle pose la question : What is the degree of incline of a 12 foot plank that goes from 10.5 inches on one end to zero inches on the other? Penny Nom lui répond. |
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Surface areas |
2005-05-11 |
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Jessica pose la question : How can I demonstrate to my high school students the reason for the formulas for the surface area of a prism, right cylinder, and regular pyramid, and right cone? Penny Nom lui répond. |
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Graphing an inequality |
2005-05-02 |
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Janice pose la question : I need to know how to graph inequalities. I need to know just abot everything. From graphing an equation to shading. Leeanne Boehm lui répond. |
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How much sand is in a pile? |
2005-04-16 |
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Larry pose la question : I was wondering if there is a formula for determining how much sand would be in a pile. I am a student in medical school, and this is a bonus question for a test. I hope you can help me. Harley Weston lui répond. |
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Ax + By = C |
2005-04-03 |
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Farzana pose la question : I was wondering if you could please explain to me how I would write the equation of line through the given points [(-3,7), (0,5)] in Ax+By=C form. Penny Nom lui répond. |
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Some liquid in a cone |
2005-04-03 |
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Vasuki pose la question : There are 2 right cones, height is X. one of them is filled from the bottom up (round side) = x/2, when you invert the cone and add the same amount of liquid inside the second cone, what is the HEIGHT of the liquid? Penny Nom lui répond. |
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An inequality |
2005-03-31 |
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Ambross pose la question : demostrate the following inequality:
2.Sqrt(K+1)-2.Sqrt(k)<1/Sqrst(K)<2.Sqrt(K)-2.Sqrt(k-1)
Penny Nom lui répond. |
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The shortest distance from a point to a line |
2005-03-30 |
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carly pose la question : Find the shortest distance from the point (-15, 2.5) to the line 5x+6y=30. Penny Nom lui répond. |
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Gasoline in a cylindrical tank |
2005-03-23 |
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Jennifer pose la question :
Gasoline is stored in a tank which is a cylinder on its side. Height of fuel is "h" meters and the diameter is "d". The length is "l".
I need to find the amount of gas in the tank when the height is h and also to calculate the fraction of how full it is.
Also, the part I am really confused on is this one,
E(h/d) is the error of the function of h/d, when h/d is used to measure how full the tank is. For what value of h/d is the error maximal?
Penny Nom lui répond. |
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1 pied linéaire |
2005-02-18 |
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Christiane pose la question : Pouvez-vous m'indiquer 1 pied linéaire égale quoi? 3 pied....? Claude Tardif lui répond. |
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Graphing inequalities |
2005-02-15 |
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Melanie pose la question : Solve and Graph the following variable inequalities:
y<2x+4
y>-2x+6
3x+4y<-24
4x-6y>-24 Penny lui répond. |
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Extraneous solutions |
2005-02-04 |
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Heather pose la question : My teacher wants to know why there are extraneous solutions in logarithms? Penny Nom lui répond. |
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Strategies for teaching operations with positive and negative decimal numbers |
2005-02-02 |
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Erin pose la question : I am wondering if you can suggest any strategies for teaching operations with positive and negative decimal numbers that do not rely on rules that must be memorized? Diane Hanson lui répond. |
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Solve for x |
2005-02-02 |
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Christie pose la question : Solve for x
.387 = (.40 - .265x)/(sqrt(1-x2)) Penny Nom lui répond. |
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A line segment connecting two vertices of a polygon |
2005-02-02 |
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James pose la question : What is a line segment (not a side) connecting two vertices of a polygon called? Penny Nom lui répond. |
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The length of a chord |
2005-01-13 |
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A parent pose la question : Does anyone have a formula for calculating the chord length for a segment of a circle when you know the radius and the enclosed angle or radian ? Penny Nom lui répond. |
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The tide at a boat dock |
2005-01-11 |
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Abraham pose la question : The tide at a boat dock can be modeled by the equation
y = -2cos(pi/6 t) + 8,
where t is the number of hours past noon and y is the height of the tide, in feet. For how many hours between t=0 and t=12 is the tide at least 7 feet? Penny Nom lui répond. |
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Modelling monthly temperature with a cosine |
2004-12-25 |
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Regis pose la question : The average monthly temperature for a location in Ontario as a function of month number can be modelled using the equation y = a cos[k(t + b)] + d. Harley Weston lui répond. |
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Two intersecting lines |
2004-12-18 |
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James pose la question : Imagine a vertical line 1.107' tall. Leaving the top of this line, sloping down to the right at a 4:1, at what horizontal distance will the line strike a second line, which leaves the the bottom of the vertical line sloping down to the right at a rate of .02 ft/ft (or 2%)? There is a fairly easy solution to this, but I have lost my notes! Harley Weston lui répond. |
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2^10 = -1/2^x - 1 |
2004-12-13 |
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Randy pose la question : Could you explain to me how the following equation is solved please.
2^10 = -1/2^x - 1 Harley Weston lui répond. |
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A sequence |
2004-12-11 |
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Amanda pose la question : Find the nth term of the following sequence
4, 10, 28, 82 Penny Nom lui répond. |
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e = ln(b/a) solve for a |
2004-12-01 |
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Daniel pose la question : I am trying to make "a" the subject of this equation "e = ln(b/a)" but am not sure if i'm doing it right. Any help would be appriciated, Claude Tardif lui répond. |
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The tangent line at an inflection point |
2004-11-28 |
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Louise pose la question : the equation of the tangent line to the curve y = x3 - 6x2 at its point of inflection is... Penny Nom lui répond. |
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Construction of a cone |
2004-11-20 |
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John pose la question : I am a builder working on a project where I need to make a cone. It's a right circular cone with 15" base radius and slant angle of 30 degrees. I want to cut it out of flat sheet metal then bring the edges together to form the cone. Is this enough information? Penny Nom lui répond. |
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A sequence |
2004-11-19 |
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Liucy pose la question : Find the Nth term:
10 40 90 160 250 Penny Nom lui répond. |
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An ODE |
2004-11-10 |
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David pose la question : I have a question that i really cant do, it is as follows:
The ODE dy/dx + 0.5y = 0.5e^(-1.5x) ; y(5) = 2
Solve the ODE subject to the given condition using exact methods and evaluate the solution y for x = 5 x=5.2 x=5.4 x=5.6 x=5.8 x=6 Harley Weston lui répond. |
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The combined force of two vectors |
2004-10-30 |
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Brian pose la question : Two teams are playing push ball with a large 8 foot diameter ball. One team exerts a force represented by the vector a = 2i + -5j, and the other team exerts a force represented by the vector b = -8i-3j.
1.Determine the direction of movement of the ball if the i axis is due east.
2.Determine the combined force magnitude. Harley Weston lui répond. |
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Solving triangles |
2004-10-30 |
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Allen pose la question : Solve the following triangles.
Given
1. B = 20 Degrees, a = 25, b = 16
2. A = 35 Degrees, b = 2, c = 3
3. A = 32 Degrees, C = 44, c = 20 Harley Weston lui répond. |
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The force of a 5000 tonne lorry |
2004-10-27 |
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Aaron pose la question : A 50 tonne lorry is parked on a slope with a gradient of 4%.
Due to the self weight of the lorry, what is the force
* acting down the slope
* acting normal (at right angles) to the slope Penny Nom lui répond. |
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The point slope form of a line |
2004-10-26 |
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Jack pose la question : Given a set of ordered pairs, ie (1,1) (2,4) (3,7), how does one determine the rule f(n) other than by trial and error Penny Nom lui répond. |
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Square roots and inequalities |
2004-10-25 |
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Waheed pose la question : Q1. What is the simplest way of finding a square root of any number using just a pen and paper? (I am asking this question because I browsed a few sites a didn't find any method that is simpler than the one I use. so I am just curious.)
Q2. Is it possible that you take an equation and turn it into an inequality by performing same mathematical operations on both sides? Claude Tardif and Penny Nom lui répond. |
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An aircraft is flying directly from airport A to airport B |
2004-10-22 |
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A student pose la question : In this question, i is a unit vector due east and j is a unit vector due north. An aircraft is flying directly from airport A to airport B, which is 2000 km from A. The velocity in still air of the aircraft is (150i+50j)km/h and the ground speed is (200i-30j)km/h. Calculate
(i) the time of flight, to the nearest min
(ii) the direction of the wind. Penny Nom lui répond. |
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The last digit of a large exponent |
2004-10-20 |
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Landon pose la question : How can one determine the last digit of a large exponent by hand. I have seen several examples of how to do this by breaking it up into smaller exponents, but is there a formula or some common things to look for? Penny Nom lui répond. |
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sin(3A) |
2004-10-20 |
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A student pose la question : Express sin3A in terms of sinA and cosA. Penny Nom lui répond. |
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Manipulating exponents |
2004-10-17 |
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A student pose la question : I was wondering if you can describe the steps in getting the solution to the problem below. I have the solution of 5/3 in the back of a book, but I have no idea how that answer was reached.
2raised to the 100th power + 2raised to the 98th power divided by 2raised to the 100th power - 2raised to the 98th power Penny Nom lui répond. |
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A theorem involving a trapezoid |
2004-09-29 |
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Abraham pose la question : Given:Trapezoid ROSE with diagonals RS and EO intersecting at point M
Prove:Diagonals RS and EO do not bisect each other. Harley Weston lui répond. |
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The volume of a pile of mulch |
2004-09-22 |
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Sam pose la question : Is there a formula to determine the cubic feet of something in a pile. IE- I need to determine the cubic feet of a pile of mulch. The pile comes to a peak, so the length and width decrease as the pile increases. Penny Nom lui répond. |
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1,3,6,11,18,29,__ |
2004-09-21 |
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Guillermo pose la question : How do you get to the answer of this sequence
1,3,6,11,18,29,__ Claude Tardif lui répond. |
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Zero to the zero |
2004-09-18 |
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Greta pose la question : My name is Greta, and I am a 7th grader and my test is coming up. The question I would like to ask you is why 0 elevated to 0 is unidentified. Penny lui répond. |
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A challenge |
2004-09-17 |
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Lasse pose la question : xy
xx
xyx
xxx
xyxx
"x" and "y" each represents a number.
Find out the system to make the next line Penny Nom lui répond. |
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Pizza for Jack? |
2004-09-16 |
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Grace pose la question : Jack is playing pool with Jim for $1 a game. He has only $2 and decides to play until he goes broke or has $5, at which point he will quit and go out for a pizza with Jim(Dutch treat). Jack knows from past experience that he beats Jim 60% of the time. What is the probability that Jack will get to eat pizza? Hints: Let A be the 6x6 matrix defined by A=[aij], where aij is the probability that Jack will have $(i-1)after one game is he starts with $(j-1). For example, a23 - .40 since there is a 40% probability that Jack will end up with $1 after a game is he starts the game with $2 (If Jack wins 605 of the time, he must lose 40% of the time). Also, for example, a52 = 0 since there is no way jack can have $4 after one game if he had $1 at the beginning of the game. Since Jack will stop if he goes broke or accumulates $5, a11 and a66 are both 1.
Let x0 = [0 0 1 0 0 0 ] transposed, which we interpret as saying that initially Jack has $2 with a probability 1. Then Ax0 will represent the porbability of each amount of money, $0-$5, after one game. What is the probability that Jack will be able to eat pizza by computing Akx0 for large k and finding a limiting value. Penny Nom lui répond. |
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Constructing a cone |
2004-09-07 |
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Steve pose la question : I am trying to build crayfish traps; one of the components is a cone shaped entry section.
The cone I want to make would be 12" in diameter at the base and 12" in height, from base to peak.
I need a formula to calculate the dimensions and a method of transferring the shape onto a flat piece of material.
Harley Weston lui répond. |
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The intersection of planes |
2004-09-07 |
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Joshua pose la question : I was wondering about the intersection of planes. Can planes intersect? Penny Nom lui répond. |
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Nine minutes |
2004-09-02 |
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A student pose la question : You have two hour glasses-one measures 7 minutes and one measures 4 minutes.How can you time 9 minutes? Penny Nom lui répond. |
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Combined operations |
2004-08-26 |
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Louise pose la question : Question 2 1/4 x 1/8 / 1 3/4 x 12 4/9 x 3 = Penny Nom lui répond. |
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When is the limit of f(x) undefined? |
2004-08-03 |
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Nicolasa pose la question : When is the limit of f(x) undefined? Penny Nom lui répond. |
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The law of sines |
2004-08-01 |
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Joy pose la question : How do you solve this? Do you solve this triangle using the law of sines of the law of cosines? (ASA)
A=120DEG. B=40DEG c=35 cm
I keep getting different answers. Penny Nom lui répond. |
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Extraneous solutions |
2004-07-28 |
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Nicole pose la question : When I have a problem like (2x + 3)/5 = (x + 1)/6 and the question asks to check for extraneous solutions, how do you solve that? Penny Nom lui répond. |
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Water in a cone |
2004-07-28 |
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A student pose la question : A vertically inverted cone( i.e. vertex down) has a radius 7
inches and height 24 inches. Water is filled to one third of its
height .Find the ht of water when cone is turned upside down Penny Nom lui répond. |
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The number of blocks in a mile |
2004-07-18 |
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Valerie pose la question : I don't know if you can help me but I was wondering how many blocks are in a mile in Ocean City, New Jersey? Penny Nom lui répond. |
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x = 2^x |
2004-07-12 |
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A student pose la question : If the graphs of y=x and y=2x are drawn on the same set of axes, they will intersect when x is equal to what?
(1)1
(2)2
(3)0
(4)They won't intersect.
I know the answer is number 4 by graphing which is permitted; however, I would like to know if there is any algebraic way to do this type of problem.If yes, please show me how.Thanks. Penny Nom lui répond. |
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An ineqlality with absolute values |
2004-07-05 |
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Uneeza pose la question : abs(x2 - 4x) > 3 Claude Tardif lui répond. |
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Pick a number greater than 1 |
2004-06-25 |
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A student pose la question : I understand that when you pick a number greater than 1 and less than 10; multiply it by 7 and add 23, then add the digits of that number until you get a one digit number. Then multiply that number by 9, add the digits of that number until you get a one digit number, subtract 3 from that number and divide the difference by 3; that this process will always give you the result of 2. Does this have a name or theory for it as to why the answer will always be 2? Penny Nom lui répond. |
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Solving an equation |
2004-06-14 |
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Anthony pose la question : I was hoping that you could help me with this problem. I believe that this is a high school level problem but as an adult who has forgotten the "rules", I am stuck.
the equation is this: x=t2/(t1-t2)
we know that x=5.73
t1=303
we must solve for t2 Penny Nom lui répond. |
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Finding bearings |
2004-05-24 |
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James pose la question : This question is about finding bearings. A boat race starts from point A, goes North to Point B, a distance of 1000 meters. The course is triangular. The bearing from point B to point C is South 70degrees West. The distance from Point B to point C is 1500 meters. Find the course bearing from C to A.
Penny Nom lui répond. |
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Solving inequalities |
2004-05-03 |
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Joe pose la question : Let x be a real number find and graph the solution to the following sentances:
2x-10+9
4X+2<15
5X+3>(x-1) Peny Nom lui répond. |
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The equation of a line |
2004-04-30 |
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Amy pose la question : Write the equation of the line that contains the point (-4,6) and is perpendicular to the line y=5x+100. Penny Nom lui répond. |
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What's it called? |
2004-04-22 |
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Gerry pose la question :
I'm a father and a grandfather and have come up with a game for my offspring to play while we're on the road. When we see a license plate, the object is to be the first one to add all the numbers on it, and come up with THE one digit number that sums them up.
For example: ABC-787 = 7+8+7 = 22 = 2+2 = 4
Another example is 2932 = 2+9+3+2 = 16 = 1+6 = 7
Up 'til now, I've called it just plain "Numerology", but I'm sure that there's a math term for what we're doing, and I'd sure appreciate it if you could tell me what it is!
Chris Fisher and Penny Nom lui répond. |
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The line through (4,2) and (4,-8) |
2004-04-17 |
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Kim pose la question : Write an equation for the line.
Given points (4, -8) and (4,2) are on the line.
I believe m=undefined.
How do I solve for b when m is undefined, and then plug in the values for m, b, and y?
Penny Nom lui répond. |
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What is the nth term |
2004-04-07 |
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Jason pose la question : 1 4 10 20 35 56 84
what is the nth term Claude Tardif lui répond. |
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Algebraic simplification |
2004-03-31 |
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Chris pose la question : Simplifying Exponents
Question
b^5d^2/b^3d^8 Penny Nom lui répond. |
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A stained glass window |
2004-03-29 |
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Kay pose la question : I'm doing a stain glass project and it's on a 4 foot across octagonal window...and I'm trying to set up the pattern and I don't know how long the sides are! Penny Nom lui répond. |
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Large exponents |
2004-03-26 |
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John pose la question : I
have encountered problem with the lack of memory every calculator
seems to have. No calculator, on or off the computer, I've found
has the amount of memory or writing space to calculate the sums I want
to solve. The sums are in great importance for my continued progress.
The sums are following:
16777216^1310270, 16777215^995328, 16777215^786432 and 16777215^480000 Claude Tardif lui répond. |
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What's the next term? |
2004-03-22 |
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Garrett pose la question :
A friend hit me with these questions and won't tell me the answer nor how... please help? I've racked my brain and did all sorts of formulas, but I can't get it to work out... please...
What's the next number in this series...
5, 12, 17, 29, 46, ?
And this series...
12, 19, 28, 39, 52, 67, ?
and these...
ocoa, boco, oboc, dobo, odob, ?
Claude Tardif lui répond. |
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Equivalent sets |
2004-03-06 |
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A student pose la question : If A=(1,2,3,4,...) and B=(5,10,15,20,...), is A equivalent to B. Why or Why not ? Penny Nom lui répond. |
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Cosine of 35 degrees |
2004-03-03 |
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Jason pose la question : How do you find the exact solution to cosine 35 degrees. Chris Fisher lui répond. |
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A dress-maker's pattern |
2004-02-27 |
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A dress-maker pose la question : Does a dress-maker's pattern for a dress, such as a skirt made up of several pieces of isosceles trapezoid, qualify as a net? How about patterns for other types of clothing or accessories e.g. jackets, handbags?Î Diane Hanson lui répond. |
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An elliptic cone |
2004-02-24 |
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Ben pose la question :
I am building a model for my architecture class. I need to build a elliptic cone out of chipboard and i have no idea how to do this.
The cone needs to be 20in tall and the ellipse has a max radius of 10in and a min radius of 8in.
So my question is how do i lay this out on a piece of paper so that i can form the cone after i cut it out.
Penny Nom lui répond. |
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Graphing lines |
2004-02-08 |
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A student pose la question : how do you solve y=1\3x+3 and y=1\3x-3 by graphing? Penny Nom lui répond. |
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The incline of an exercise machine |
2004-02-02 |
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An exerciser pose la question : This is a question about incline percentage. On an exercise machine if the elevation is raised 3 and one half inches from a level position then what would be the incline percentage? Penny Nom lui répond. |
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The vertex of a cone |
2004-01-29 |
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Richard pose la question : Please help me explain to my fourth graders as to why a cone has a vertex even though it does not have any straight edges. Chris Fisher lui répond. |
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Intersecting a line and a curve |
2004-01-29 |
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Senthil pose la question : between line and curve how can i
find intersection point?
could you write me the formula and explanation also sir. Penny Nom lui répond. |
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Sin(3x), cos(3x) and tan(3x) |
2004-01-28 |
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Jon pose la question : What is the identity for cos3x, sin3x, and tan3x? In class, we learned double angel identities and were asked to find out the identity to these three trig functions. If you can help, please do. Also, i know that the cos4x- sin4x is the same as cos2x. Is cos8x-sin8x = cos2x also true? Thank you.s Chris Fisher lui répond. |
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x^x^x^x^... |
2004-01-23 |
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Ryan pose la question : you have a number say x and it is to the power of x which is to the power of x and so on infinite times like x^x^x^x^x^x^x^... i have to figure out what x is so that the answer is always 2 Penny Nom lui répond. |
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Two consecutive negative integers |
2004-01-17 |
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Amanda pose la question : Find two consecutive negative intergers whose product is 182. Penny Nom lui répond. |
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Inequalities |
2004-01-08 |
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Michael pose la question : How do you use inequalities in your job and in your everyday life? Penny Nom lui répond. |
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Solving an equation |
2004-01-03 |
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A student pose la question : the question is to solve and check equations and the question is
2n + 3n + 7 = -41 Penny Nom lui répond. |
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Making a windmill |
2004-01-02 |
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Matthew pose la question : I am a farmer in Ontario. It has been almost 20 years since high school. I am toying with making a windmill. The output chart for the the old generator I have is shown below. Before I tear it appart I would like to develop a formula from the chart that can predict the output at various speeds. Penny Nom lui répond. |
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A new way to measure randomness |
2003-12-31 |
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Stephanie pose la question :
Last year, I did a science project in which I asked, "Which shuffles better, an automatic card shuffler or shuffling by hand?" To measure this I decided the "best" shuffler was the one to become random first. Last year, to measure randomness, I numbered cards 1-52 and had the subjects shuffle them until they broke up the rising sequences or reached 10 shuffles. (Usually 10 shuffles came first...) Anyway, I did the same thing with the automatic card shuffler, and, as hypothesized, the automatic card shuffler randomized the deck first.
This year, I have decided to continue the project. The problem is, I need a new way to measure randomness without the use of fancy computers or something. I have searched the Internet, I have posted my query on websites based on math, and I have searched the local library.
I have found many useful things on the Internet, but none of them can tell me a new way to measure randomness. I cannot do a perfect shuffle, and I am not terribly gifted in the art of using computers. If you have any information (anything will help) or advice, I would be greatly obliged. Andrei Volodin lui répond. |
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Making a cone |
2003-12-22 |
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Tracie pose la question :
I am working on a craft project at home and I have been given the following information: 16" tall and 13" diameter at base, with 1 and 1/2 " opening at top.
Is there a basic formula for creating a cone with this info?
Claude Tardif and Penny Nom lui répond. |
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Business trip |
2003-12-19 |
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Ameer pose la question : A businnessman drives from Washington, D.C., to Boston, a distance
of 442 miles, and then makes the return trip. On the way to Boston,
he drives 65 miles per hour, taking an 1-hour rest stop during the
drive. After finishing his business in Boston, he make the return
trip driving at 60 miles per hour and takes a 45-minute rest stop
halfway through the trip. Which leg of the journey, Washington, D.C.
to Boston, or Boston to Washington, D.C., takes the longer time? Penny Nom lui répond. |
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How far can you see? |
2003-12-15 |
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Judy pose la question :
How far apart, assuming no obstacles, can two people stand and still see each other?
i know this deals with the curvature of earth, but i can't figure out the formulas involved.
Chris Fisher lui répond. |
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Non-euclidean geometry |
2003-12-08 |
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Geoffrey pose la question : How can you use non-euclidean geometry to navigate on a sphere? What geometers did work in this area? Chris Fisher lui répond. |
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Non-Euclidean geometry |
2003-12-03 |
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Geoffrey pose la question : What are the applications of Non-Euclidean geometry (especially hyperbolic and spherical)? Walter Whiteley lui répond. |
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Mr.Carter is very cautious |
2003-11-26 |
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Bob pose la question : Mr.Carter is very cautious. He decides to invest in only three stocks: one low stock, one high stock, one medium stock. Given that the expected annual yields are 6% for low stock, 7% for medium stock, and 8% for high stock, he wants his investment in medium stock to be half of his total investment in low and high stock. How much should I invest in each type fo stocks to expect a total annual return fo $650 form my investments? Harley Weston lui répond. |
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An inequality whose solution is all points |
2003-11-25 |
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Katie pose la question :
Hi my name is Katie and I am in the 9th grade and I would like help on this question. Is it possible to have a system of inequalities whose solution is all points?
1.I need to know why (explanation)
2.how to do it(example)
Penny Nom lui répond. |
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Laws of sines and cosines |
2003-11-23 |
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A parent pose la question : On the one side of a stream lines PA= 586.3 feet, PB = 751.6 feet are measures, angle APB being 167 degrees and 36 min. Q is a point on the opposite side of the stream. Angle PAQ=63 degress and 18 min and PBQ=49 degrees and 24 min. Find PQ. Penny Nom lui répond. |
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A point and a line |
2003-11-19 |
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Meenakshi pose la question :
Given a line segment L(x1,y1)
to (x2,y2) and a Point P(x3,y3).
I need the formula to find a point on the line L that is closest to
the point (x3,y3). Penny Nom lui répond. |
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Lines |
2003-11-14 |
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A student pose la question : What is a name that a group of lines pass through? Chris Fisher lui répond. |
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A least squares line |
2003-11-09 |
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Michelle pose la question : Hooke's Law asserts that the magnitude of the force required to hold a spring is a linear function of the extension e of the spring. That is, f = e0 + ke where k and e0 are constants depending only on the spring. The following data was collected for a spring; e: 9 , 11 , 12 , 16 , 19 f : 33 , 38 , 43 , 54 , 61 FIND the least square line f= B0 + B1x approximating this data and use it to approximate k. Penny Nom lui répond. |
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Intercepts |
2003-11-04 |
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A student pose la question : I am totally confused on how to determine intercepts of an equation and then to graph the line. For example, how to determine the intercepts of 2x-3y-12=0. Penny Nom lui répond. |
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Maine and Nevada |
2003-10-24 |
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Jimmy pose la question :
From 1989 to 1990, the population of Nevada increased b y 157,000, and that of Maine increased by 30,000. In 1990, the population of Nevada was 1,206,152, and that of Maine was 1,233,223. If the populations of the two states continue to increase at the same rates, when will the populations of Nevada and Maine be the same? Write a verbal model for this problem Write an equation for the model Solve the equation and answer the question. Penny Nom lui répond. |
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Squares in a rectangle |
2003-10-21 |
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Raj pose la question :
Draw a rectangle with sides of 3 and 4. Divide the sides into 3 and 4 equal parts respectively. Draw squares joining the points on the sides of the rectangle. You will have 12 small squares inside the 3 x 4 rectangle. If you draw a diagonal of the rectangle, it will intersect 6 of the the 12 smaller squares. Similarly, if you have a 4 x 10 rectangle, the diagonal would intersect 12 of the 40 squares inside the rectangle. Is there an algebric equation that determines the number of squares that will be intersected by the diagonal of a rectangle? Chris Fisher lui répond. |
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The sketch of a graph |
2003-10-07 |
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A student pose la question : I was wondering how do you figure out if a graph has a horizontal tangent line. One of my homework problem was to sketch the graph of the following function; (4/3)x3-2x2+x. I set f''(x) ( the second derivative) of the function equal to zero and got the inflection point:(1/2,1/6). Also i am having trouble finding the concavity for x>1/2 and x<1/2, i am getting a different answer from the back of the book, the graph i draw looks completely different from the correct answer. Penny Nom lui répond. |
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The Sieve of Eratosthenes |
2003-09-18 |
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Lynn pose la question : My daughter has been asked to find all the prime numbers by using the Sieve of Eratosthenes. I have no understanding what this means. Penny Nom and Claude Tardif lui répond. |
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Notation |
2003-09-15 |
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Kim pose la question :
Question: i have a couple of questions 1. write in standard form a)4x2x8 b) 5 to the power of 4 . . . Penny Nom lui répond. |
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Two line segments and a plane |
2003-09-11 |
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Laura pose la question : Do all figures made up of two segments lie in a plane? Penny Nom lui répond. |
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The general equation for a sphere |
2003-09-11 |
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Jaidev pose la question : Is there any general equation for a sphere? Penny Nom lui répond. |
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Can 2 vertical planes intersect? |
2003-09-06 |
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Erin pose la question : My question is can 2 vertical planes intersect? Penny Nom lui répond. |
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One million seconds |
2003-09-04 |
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Vince pose la question : If you can write a number each second for one million seconds, how many hours would it take? Penny Nom lui répond. |
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One percent of a billion |
2003-09-04 |
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Charles pose la question : What is one percent of one billion? Penny Nom lui répond. |
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Positive, negative and zero |
2003-09-04 |
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Brian pose la question : Can the Value of zero be positive or can it be negative or can it be both. Penny Nom lui répond. |
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Newton's binomial theorem |
2003-08-30 |
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William pose la question : According to page 126 of Murtha & Willard's "Statistics and Calculus" (Prentice-Hall, 1973), Newton's binomial theorem can proved inductively. I suppose that was his method, which I would like to see. Penny Nom lui répond. |
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How many cubic yards must I purchase? |
2003-08-29 |
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Walt pose la question :
I am trying to determine how much top soil I must purchase (by the yard). The area is 80' x 15' and I want it 3" thick. How many cubic yards must I purchase? Penny Nom lui répond. |
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Why is 5 to the 0 power always 1? |
2003-08-24 |
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Crystal pose la question : Why is 5 to the 0 power always 1? Penny Nom lui répond. |
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X.9999... and X+1 |
2003-08-23 |
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David pose la question : I have read your answers to the questions on rational numbers, esp. 6.9999... = ? and still have a question: The simple algebraic stunt of converting repeating decimals to rational numbers seems to work for all numbers except X.999999.... where X is any integer. The fact that the method yields the integer X+1 in each case seems to violate the completeness axiom of the real numbers, namely that there is no space on the number line which does not have an number and conversely that every geometric point on the number line is associated with a unique real number. In the case of 3.999... for example, it seems that both the number 4 and the number 3.9999.... occupy the same point on the number line. How is this possible??? Penny Nom lui répond. |
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Water in a cone |
2003-08-12 |
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Adrienne pose la question :
Water is poured into a tank in the shape of an inverted right circular cone.ð The height of the tank is 8 m and its radius at the top is 4 m. a. Draw and label a picture to represent this situation.ð (I know how to do this) b. Identify all variable quantities. (h = 8m, r = 4m) c. Find an equation that relates the variable quantities, and reduce the number of variable quantities to two. I was thinking about the equation V = 1/3 pi r2 h, which is the Volume of a cone, but I am stumped as to how I am supposed to "reduce the number of variable quantities to two." Can you point me in the right direction? Penny Nom lui répond. |
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A sphere inscribed in a cone |
2003-08-10 |
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A student pose la question : A sphere with radius 5cm is inscribed in a right circular cone 20 cm in height.find
(a) the base radius ,volume of the cone (b)volume of the shaded space( to 3 sig fig) Penny Nom lui répond. |
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The incline of a road |
2003-08-03 |
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A driver pose la question : incline- % grade as to degree. ie 6% hwy grade= what degree of incline? Penny Nom lui répond. |
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nine digit numbers |
2003-07-23 |
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John pose la question : With a nine digit number, with each of the nine digits having a possibility of 10 different numbers then what is the total number of possible mathematical variations in the nine digit number. i.e. Social Security numbers have nine digits and if each of the nine digits have a possibility of being any one of ten numbers, i.e. 0,1,2,3,4,5,6,7,8,9. Then what is the formula to calculate the maximum possible number of variations in this nine digit number and what is the mathematical maximum possible number of variations of this nine digit number? Penny Nom lui répond. |
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Cathy's Clothing |
2003-07-15 |
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Cathy pose la question : I am supposed to write a practical and useful word problem that would use the following algebriac inequality to solve it: 12x + 25 > 15x + 10. State the quanity that represents x and solve the inequality. Penny Nom lui répond. |
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Sunshine? |
2003-07-11 |
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lori pose la question : It is noon, your lunch hour, but you cannot go out because there is a terrific hailstorm. Turning on your radio you hear the weathercaster predict that the hail will change to rain and that it will pour all day today. How can you determine whether the sun will be shining in 36 hours? Claude Tardif lui répond. |
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A triangle in the complex plane |
2003-07-10 |
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Scott pose la question : The vertices O and A of an EQUILATERAL triangle OAB in the complex plane are located at the origin and 3 + 3i. Find all possible values for the complex number representing the vertex B. Give the location of B in both polar and cartesian form (to 2.d.p) Penny Nom lui répond. |
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Solve x = y^z for z |
2003-06-28 |
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Nathan pose la question : If x = y^z is there a way to solve for z, if x and y are given, without guessing or already knowing the answer?
ie: 64 = 2^z 6 is the obvious value for z. Is there a way I could solve for this variable using a formula, which would also apply when more complex values were substituted for x and y? Penny Nom lui répond. |
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Odd powers of sine and cosine |
2003-06-25 |
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Antonio pose la question : Can you please tell me how to integrate a trig function involving sine and cosine? I know if the powers of both the sine and cosine are even and nonnegative, then I can make repeated use of the power-reducing formulas. But for the question I have on my hand, the powers of both sine and cosine are odd: ( sin3x + cos7x ) dx. Harley Weston lui répond. |
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The sum of two numbers is 5 and their difference is |
2003-06-16 |
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Akhil pose la question : The sum of two numbers is 5 and their difference is 11. What is the product of the two numbers? Penny Nom lui répond. |
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A project about crosses |
2003-06-10 |
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Joel pose la question :
I have this project to do about crosses and I can't think of what the answer is for the following questions: What is the area rule of the crosses (the table below will help you)? Cross Number | Area sq cm | 1 | 5 | 2 | 13 | 3 | 25 | 4 | 41 | 5 | 61 | I also need to know what the formula is for it? Penny Nom lui répond. |
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Two trig problems |
2003-06-10 |
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Bett pose la question :
I have this ongoing trouble with trig and solving triangles with laws of cosines and sines!! For example if it asks to solve triangle FGH, given angle G=102.7 , side f=14.2, and h=18.6. Now do I use law of cosines because I don't have the measure of an angle and length of the opposite side??I don't know where to go from here,I am totally confused!!! I also have a problem with this word problem I have been doing. It asks: An airplane flies 847.5 km at a bearing of 237.3 degrees. How far south and west fo its original position is it? Huh? Please help! Penny Nom lui répond. |
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5 to the power n |
2003-05-28 |
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Sam pose la question : What is the integer n for which
5 to the n power + 5 to the n power + 5 to the n power + 5 to the n power + 5 to the n power = 5 to the 25th power? Penny Nom lui répond. |
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sin theta = 7/8 |
2003-05-07 |
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Patty pose la question : If sin0 = 7/8 and 0 is in quadrant 2, find the other five trigonometric functions of 0. (report your answers in radical form) Penny Nom lui répond. |
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Rules of exponents |
2003-05-05 |
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Carl pose la question : Hi, I am a student who would like to recall how to multiply exponents. Here is such an equation: 6.02569 X 1025 X 5.254 =?
Also, adding exponents. Don't I just add subtract the exponents separately? Such as 523 +15-12 =?? Penny Nom lui répond. |
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Write sin(3x) in terms of sin(x) |
2003-05-05 |
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A student pose la question : Write sin 2x in terms of sin x Penny Nom lui répond. |
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A circle, tangent to two circles and a line |
2003-04-30 |
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Keith pose la question : I have a horizontal line (that is treated as a datum line or the X axis), with two circles having their center points at different heights from that line (X1,Y1 & X2,Y2). The two circles are also at different diameters (R1 & R2). Both circles and the line (X-Axis) do not intersect nor are they tangent. My goal is to determine the maximum diameter of an inscribed circle that will fit between all three. Chris Fisher and Harley Weston lui répond. |
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One one |
2003-04-22 |
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Brad pose la question : find the next two rows of numbers?
1
1 1
2 1
1 1 1 2
3 1 1 2
1 1 1 2 1 3
Leeanne Boehm lui répond. |
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Manipulating exponents |
2003-04-21 |
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Denita pose la question : Rewrite using only positive exponents:
(4a^4b^2)^4 * (4a^ -3 bc^2)^ -3 Harley Weston lui répond. |
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The substitution method |
2003-04-14 |
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Patty pose la question :
I need help with the following: 5x - 4y = 13 2y + 3x = -1 Penny Nom lui répond. |
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A fractional inequality |
2003-04-08 |
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Jessica pose la question : Solve for x. Write in interval notation.
[(x2)-9]/[x-5] >= 0 Penny Nom lui répond. |
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The vertex of a cone |
2003-03-27 |
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Holly pose la question : I read your response to Callie about whether a cone has a vertex or not. Is it ONLY a vertex if both halves of the cone are together or can one half of the illustration have a vertex? Walter Whiteley lui répond. |
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Friends and enemies |
2003-03-24 |
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Becky pose la question :
Consider a room that contains six people. Any two people are either friends of each other, or they are enemies. A. Argue why there are three people, all who are friends, or there are at least three people, all who are enemies
B. Rephrase the situation using graph terminology, using all of these terms correctly: vertex, edge, graph, complement, clique, independent set, and bipartite. Penny Nom lui répond. |
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A sequence that converges to e |
2003-03-16 |
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Dane pose la question : Something I noticed fooling around with a calculator about 30 years ago. Considering e = 2.718281828459045.... Using Window's Calculator you will find 1.111 = 2.8531167... 1.01101 = 2.731861... 1.0011001 = 2.71964085... 1.000110001 = 2.71841774... 1.00001100001 = 2.7182954... 1.00000110000011 = 2.178231875... 1.000000110000001 = 2.178219643... There apears to be a pattern. My conjecture is: 1.'infinite number of zeros'11'infinite number of zeros'1 = e. Penny Nom lui répond. |
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y < 2x + 1 |
2003-03-01 |
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Erika pose la question : how can I solve and graph y<2x+1 and which side in the graph should i shade after i finish solving my inequality? Penny Nom lui répond. |
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A number line |
2003-02-27 |
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Shery pose la question :
My seventh grader problem of the month 0__________1______________5____> This is a arrow, the number should be below A.Mrs Decker created an arrow representing a number line shown above. She wanted to find points and label them with a heart (G) for Valentine's Day so that the fraction 5/g is less than 1. (be sure to mark the G and not the fraction 5/g). She pondered, "Are there any other locations for G?" Is so help her description the location of all these points. If not why not? Penny Nom lui répond. |
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Storyteller figurines |
2003-02-10 |
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A student pose la question : It takes 3/4 of an hour to bake a storyteller figurine. If only one figurine can be baked at a time, how many can be baked in 6 hours? Penny Nom lui répond. |
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Finite differences |
2003-02-10 |
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Jenny pose la question :
I need to find a formula that will work with any number. I am finding the volume of a 3d cross- shape. Here are my results so far:
Term Number 0 1 2 3 4 5
nth term 1 7 25 63 129 231
1rst diff 6 18 38 66 102
2nd diff 12 20 28 36
3rd diff 8 8 8
I can't seem to find a formula that will work with any number. Any help would be much appreciated. Penny Nom lui répond. |
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Two investments |
2003-02-07 |
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A student pose la question : you have $7200 in principal and invest different sums @ 10% and 14%. You receive 920 at end of term. (one year)What amounts are invested at what rate? Penny Nom lui répond. |
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Two equations in two unknowns |
2003-02-06 |
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Patrick pose la question : What are all ordered pairs of real numbers (x, y) for which: yx2 - 7x + 12 = 1 and x + y = 6? Penny Nom lui répond. |
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Two airplanes leave Dallas |
2003-02-06 |
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A student pose la question : TWO AIRPLANES LEAVE DALLAS AT THE SAME TIME AND FLY IN OPPOSITE DIRECTIONS. ONE AIRPLANE TRAVELS 80 MILES PER HOUR FASTER THAN THE OTHER. AFTER THREE HOURS, THEY ARE 2940 MILES APART. WHAT IS THE RATE OF EACH AIRPLANE? Penny Nom lui répond. |
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Arithmitic sequence |
2003-02-01 |
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A student pose la question : I am having problems solving this arithmetic sequence... 1, 5, 10, ___, 50, 1.00, ___, 10.00, ... I believe the answers to be 25 and 5.00 but I can't figure why. Claude Tardif lui répond. |
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Extraneous solutions |
2003-01-24 |
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Paul pose la question :
What is an extraneous solution and in what cases do you get one? How do you know it is extraneous? Penny Nom lui répond. |
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Collinear Points |
2003-01-13 |
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Gary pose la question :
Which of the 4 points are collinear when you construct the following concurrent lines or rays of a triangle? - P(1), the point where the angle bisectors intersect.
- P(2), the point where the altitudes (or extensions) intersect (inside or outside of the triangle).
- P(3), the point where the medians intersect.
- P(4), the point where the perpendicular bisectors (or extensions) of the three sides of a triangle intersect.
This is for my 9-12 high school class in geometry. My name is Gary Thanks for your help. Gary
Harley Weston and Chris Fisher lui répond. |
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The intersection of conics |
2002-12-19 |
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Glenda pose la question : We are studying systems of equations where two conic sections are the two equations that we are solving simultaneously. We were studying the number of solutions that are possible if you have an ellipse and a parabola. We all agree that there can be none, one, two, three or four solutions. The question that the students had for me was whether or not a portion of an ellipse and a parabola can overlap and thereby allow an infinite number of solutions. What should I tell them? Chris Fisher and Harley Weston lui répond. |
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y = 1 - sin(x + 60) |
2002-12-10 |
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Eman pose la question : Sketch the graph of y = 1 - sin(x+60). for 0 <= x<= 360, giving the coordinates of the maximum and minimum points and the pints where the curves crosses the y axis. Penny Nom lui répond. |
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A function that is onto but not one-to-one where f:N-->N |
2002-12-06 |
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Lisa pose la question : A function that is onto but not one-to-one where f:N-->N Penny Nom lui répond. |
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x + y=80 and x + z=100 |
2002-11-28 |
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PJ pose la question : x + y=80 x + z=100 can you solve for x, y or z? Penny Nom lui répond. |
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A two stage rocket |
2002-11-26 |
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Hoda pose la question : a two stage rocket accelerates in free space by ejecting fuel at a constant relative speed , v(ex). the full fuel load makes up 80% of the initial mass of the entire two stage rocket . the rocket accelerates from rest until at the end of the first stage when 75% of its fuel has been burnt. find an expression for the speed of the rocket at the end of the first stage in terms of v(ex). Claude Tardif lui répond. |
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A lampshade from a cone |
2002-11-26 |
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Ellsie pose la question : I need to make a pattern to cover an old lampshade. This is actually the bottom portion of a cone. Please help me figure out how to draw this pattern, so that we can complete our project. Penny Nom lui répond. |
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Performance reviews |
2002-11-21 |
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Lara pose la question : Perhaps you can help. He's doing performance reviews at work. The average performance review is 3.92 on a 5.0 scale. This person would receive a 3.5% raise for next year. The highest performance review is 4.9 and this person would recieve a 6.0% raise for next year. How do I solve for the other performance review numbers. Penny Nom lui répond. |
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The substitution method |
2002-11-15 |
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A student pose la question : Solve by using the substitution method. x = 3y - 1 x + 2y = 9 Penny Nom lui répond. |
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Determining a parabola |
2002-11-06 |
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Shelley pose la question : let (0,3) and (1,9)and (-1,1) be given points in a parablola. Determine a b and c Penny Nom lui répond. |
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Compass points |
2002-11-05 |
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Mhairi pose la question : I was asked this in maths but I am not sure if it is geography. Name all the compass points? We have been given 8 but he told us there is more and we have to name them. Chris Fisher lui répond. |
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The percentage grade of that hill |
2002-11-05 |
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Cathy pose la question : If there is an 80ft climb over a kilometer(about 3280ft) what is the percentage grade of that hill? Penny Nom lui répond. |
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Rounding 27.27 |
2002-11-03 |
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A parent pose la question : If you have a problem 27.27 and you need to round to the first 7 the answer would be 27 Would 27.0 be acceptable as well or is it completely wrong. Penny Nom lui répond. |
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Exponential notation |
2002-10-19 |
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Ivy pose la question : I understand how to figure out for example 4 to the power of 3,what I don't understand is how to figure it out using both negative numbers and negative exponents,as an exaple -4 to the power of 6 and what makes this different that (-5) to the power of 7,please help me if you can.I am an adult taking correspondence and finding it quite frustrating. Penny Nom lui répond. |
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Three algebra problems |
2002-10-13 |
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Veronica pose la question : Solve the following inequality: 5(xsqured-4)/(xto the 5th(2x-5)to the 3rd) < or equal 0 Solve the following equations for all roots square root of x+2=-1+square root of 2x+3 what's ZERO FACTOR PROPERTY??? The hypotenuse of an isosceles right triangle is 7cm. long. Determine the lenghts of the other sides. Leeanne Boehm lui répond. |
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Exponent 0 |
2002-10-02 |
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Debbi pose la question : can you please tell me what the exponent 0 is (i.e. 70) Penny Nom lui répond. |
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The interrelations of the propositions in Euclid I |
2002-10-01 |
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Rob pose la question : I'm a student at St. John's College in Santa Fe New Mexico, are school is devoted to the great books and we're now reading Euclid's Elements in english and Attic Greek. We have an assignment to show a frequency or flow chart of how all the propositions of book one are interrelated. Chris Fisher lui répond. |
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Two rate problems |
2002-09-30 |
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Rebecca pose la question :
- There are two small holes in the bottom of a tub filled with water. If opened, one hole will empty the tub in three hours; the other will empty it in six hours. If both holes are opened at the same time, how long will it take to empty the tub?
- An airplane flies 400 miles per hour in calm air. It can cover 900 miles flying with the wind in the same time that it can cover 700 miles against the wind. What is the speed of the wind?
Penny Nom lui répond. |
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A cone that is cut off at the top |
2002-09-23 |
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Stuart pose la question : I have to work out the dimensions and arcs of a cone that is cut off at the top. I.e Top diameter is 33mm to bottom diameter is 43mm and the depth is 80mm Are you able to work what the flat of this cone would be as I need to design within the flat area and then have it cut out. I really need to know what the flat of it is before it is cut and curled to form the above cone. Walter Whiteley lui répond. |
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Fractional exponents |
2002-09-20 |
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Jill pose la question : The problem is with fractional exponants: 10 1/3 mult. by 10,000 The 1/3 is an exponant of 10. Penny Nom lui répond. |
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A linear function |
2002-09-09 |
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Chad pose la question : If y = 9x - 13 does it represent a linear function? And if it does what is its slope and is it a direct variation? Peny Nom lui répond. |
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8,27,64 . . . |
2002-09-05 |
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Mike pose la question : We have been trying with no luck all night to complete the following math pattern (next 3 entries) 8,27,64 . . . Any ideas?? Penny Nom lui répond. |
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1, 2, 4, 8, 16, 32, etc. |
2002-09-04 |
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Ginger pose la question : I've been working with finding the nth term for a few weeks, and i can't seem to figure this one out! 1, 2, 4, 8, 16, 32, etc. Leeanne Boehm lui répond. |
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A group of 9 |
2002-08-31 |
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William pose la question : what is the mathmatical name for a group of nine like a group of 3 is called 'triplets' Penny Nom lui répond. |
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Mixing gas and oil |
2002-08-27 |
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Sherry pose la question : how do I calculate the correct fuel ratio for a boat motor? 50:1 the oil containers only say how many ounces to add to 5 gallons of fuel to make a 50:1 ratio.(13 ounces to 5 gallons of fuel) I have a 20 gallon tank so what if I add 11.6 gallons of fuel, what formula would I apply to get the correct measurement of oil to add? Penny Nom lui répond. |
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When does an inequality represent the area above the line? |
2002-08-25 |
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Tamara pose la question : How do you determine that an inequality represents the area above the line and when do you include the line in the solution? Penny Nom lui répond. |
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Parallelograms |
2002-08-21 |
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Moorthy pose la question : 11 parallel lines are intersected by another 9 parallel lines.Then how many parallelograms are formed? Walter Whiteley lui répond. |
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A paper model of a cone |
2002-08-14 |
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Bruce pose la question : I have made a paper model of a cone, cut a sloping section, and removed the top. I have drawn the major and minor axis on the paper surface of the section. The major axis is not symmetrical about the minor axis. To me, this is not an ellipse. To me, an ellipse is a tubular section, because this gives a symmetrical major axis. What is your opinion? Walter Whiteley and Chris Fisher lui répond. |
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Two equations |
2002-07-26 |
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Derek pose la question : 1. 3x + 2y = 4 2. -7x + 2y = 24 finding x and y. Penny Nom lui répond. |
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Some inequalities |
2002-07-25 |
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A student pose la question :
1)-5 <= -3X+1 < 1 2)4X-2 < 6 OR X+2 > 9 Penny Nom lui répond. |
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Future value |
2002-06-27 |
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Susan pose la question : If one were to invest $115 a month for 20 years and expect a 4% annual return, what is the value of this money in 20 years? Leeanne Boehm lui répond. |
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What is the next term? |
2002-06-21 |
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A student pose la question : What is the next term in the sequence: 1, 5, 14, 30..... Penny Nom lui répond. |
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Ratios and weights on Neptune |
2002-06-03 |
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Janice pose la question : The ratio of an object's weight on earth to it's weight on Neptune is 5:7. How much would a person who weighs 150 pounds on earth weigh on Neptune. Penny Nom lui répond. |
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Conics |
2002-05-29 |
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Brooke pose la question : Which conic cannot be generated by an intersection of a plane and a double napped cone? Chris Fisher lui répond. |
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Linear programming |
2002-05-27 |
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Jes pose la question : A machine shop makes two parts, I and II, each requiring the use of three machines, A, B, C. Each Part I requires 4 minutes on Machine A, four minutes on Machine B and five minutes on machine C. Each Part II requires five minutes on Machine A, one minutes on Machine B and six minutes on Machine C. The shop makes a profit of $8 on each Part I and $5 on each Part II. However, the number of units of Part II produced must not be less than half the number of Part I. Also each day the shop has only 120 minutes of machine A, 72 minutes of Machine B, and 180 minutes of Machine C available for the production of the two parts. What should be the daily production of each part to maximize the shop's profit? Claude Tardif lui répond. |
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Telephone banking |
2002-05-22 |
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Fiza pose la question : To use telephone banking to pay bills, the customer has to enter the last three digits of each bill. the numbers 0 to 9 can be used. if the number happened to be the same on more tan one bill, the customer has to enter the first three digits as well. (a) what is the probability that a person has 2 bills to register with the same last three digits? ANSWER:P(2 bills to register)=1/10P3 1/(10!/7!), 1/(10*9*8)=.001389 (b) what is the probability that a person with 10 bills to register has at least 2 bills with the same last three digits? ANSWER:P=1/(10*10*10) =0.001 Andrei Volodin lui répond. |
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How far apart are the transmitters? |
2002-05-18 |
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Jeff pose la question : A ship at sea is 70 miles from one transmitter and 130 miles from another. The measurement of the angle between the signals is 130 degrees. How far apart are the transmitters? Penny Nom lui répond. |
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Sequences that agree on their first four terms |
2002-05-16 |
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Mike pose la question : Are there two formulas that define sequences that agree on their first four terms, but differ on the fifth term and all succeeding terms? Chris Fisher lui répond. |
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The law of cosines and obtuse angles |
2002-05-09 |
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Bryant pose la question : The question that I am pondering is that I need to derive the law of cosines for a case in which angle C is an obtuse angle. Penny Nom lui répond. |
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oneths |
2002-04-30 |
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Logan pose la question : why are there tens-tenths hundreds-hudreths, but not oneths if that made no sense then how about this why does everything have two ways of saying things like tens and tenths but not a oneths Claude Tardif lui répond. |
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What's the next term? |
2002-04-29 |
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A student pose la question : Find the nth term for the following: 1) 12, 30, 56, 90, 132 2) 6, 30, 84, 180, 330 3) 8, 15, 24, 35, 48 4) 10, 17, 26, 37, 50 5) 24, 40, 60, 84, 112 6) 24, 60, 120, 336, 504
Please show the FULL working out. Penny Nom lui répond. |
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25m = 100 |
2002-04-22 |
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Megan pose la question : If 25m = 100, Then m equals what number? Penny Nom lui répond. |
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Lines of symmetry |
2002-04-22 |
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Cindie pose la question : How many lines of symmetry do the following figures contain? trapezoid: rhombus: hexagon: pentagon: Walter Whiteley lui répond. |
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An augmented matrix |
2002-04-20 |
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A student pose la question : Hi my math teacher asked us to solve an augmented matrix. I am in twelfth grade and need help. The book we are working on is college algebra. Here it is a+2b+c=0 2a+5b+4c=-1 a-b-9c=-5 Penny Nom lui répond. |
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The vertex of a cone |
2002-04-13 |
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Callie pose la question : Does a cone have a vertex? Penny Nom lui répond. |
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3/4n-6=12 |
2002-04-07 |
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Diane pose la question : I am in 6th grade advanced math and I just started Algebra. My teacher tries to explain it to me but I just can't get it. I am having difficulty understanding it. Please HELP!!! I will type a problem, if you could answer it and show your work so i can understand it that would be great. Please explain in simple terms. here is a couple problems I am having trouble with, PROBLEM #1 3/4n-6=12 Penny Nom lui répond. |
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Pairs of equations |
2002-04-04 |
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A student pose la question :
high school level student is asking
y=4x x=-4y
x+y=5 3x+2y=20
y=x-1 3x-y=4
x+y=3 2x-3y=-9
x+5y=4
3x+15y=-1
. . .
Penny Nom lui répond. |
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100 from four 9's |
2002-03-27 |
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A student pose la question : My teacher gave us a math problem to try and figure out and I am stumped. The problem was this.... by only using four nines, how can you get an answer of 100? You can add, subtract, multiply or divide...anything you need to do ,but you can only use four nines. Leeanne Boehm lui répond. |
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If the matrix A is inverible and AB =AC, then B = C |
2002-03-27 |
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Vikki pose la question : i hope you can help i am soooo stuck here goes: a)
A= 0 1 B= 1 1 c= 2 5 0 2 3 4 3 4
A,B and c are matrices Evaluate AB and Ac (which I can do) then
b) I need to prove that if the matrix A is inverible and AB =AC, then B = C. Why does this not contradict what happened in part a)? Leeanne Boehm lui répond. |
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A probability problem |
2002-03-23 |
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Kate pose la question : If I have a spinner and then spinner has the numbers 1,2,3,4 on it and it is spun 3 times, what is the probability that the spinner will stop on 4,3,and 1 ? In that order? Leeanne Boehm lui répond. |
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A trigonometric identity |
2002-03-22 |
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Debby pose la question : I am stuck on a problem and wondering if you can help?? It is: Prove the following: sec2(X)+csc2(X) = sec2(X)csc2(X) Harley Weston lui répond. |
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A cone in 3 space |
2002-03-20 |
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Matthew pose la question : Let C in R3 be the cone defined by x2 + y2 - z2 = 0 (A) Let P be the plane described by x + 2z = 1 (i) Find a description of P in terms of two parameters s and t . . . Walter Whiteley lui répond. |
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F = -3 + 3 |
2002-03-19 |
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Jessica pose la question : F= -3 + 3 WHAT IS F????? Penny Nom lui répond. |
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The slope of a tangent line |
2002-03-04 |
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Ridley pose la question : Suppose a function f(x) has the line 3x+4y=2 as its tangent line at x=5. Find f'(5). Harley Weston lui répond. |
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sin 2x = cos 3x |
2002-02-25 |
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Allan pose la question : solve: sin 2x = cos 3x Primary question: how do you handle the cos 3x? Paul Betts and Chris Fisher lui répond. |
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The substitution method |
2002-02-24 |
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Joe pose la question : whats the answer to this question? 3x+y=11 x+2y=-3 its substitution method i am having alot of trouble figuring it out. send the answer as soon as possible. thank you Penny Nom lui répond. |
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1,4,27,____,_____46656 |
2002-02-21 |
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Brenda pose la question : 1,4,27,____,_____46656..... please find the fourth and fifth numbers in this sequence. Penny Nom lui répond. |
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Nets for pyramids |
2002-02-14 |
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Michelle pose la question : I want to have my students create nets for pyramids and I need to know how to find the correct range of degrees for the interior congruent angles of the isosceles triangular faces. For example, I know for a square-based pyramid that 77 degrees will work; however, I know other angle measures will also work. I'm just not sure how to find the minimum degree measure to have the net actually "work". I'm assuming the maximum would be 89 degrees, although that would make for a very tall pyramid. Penny Nom lui répond. |
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Successive differences |
2002-01-20 |
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Linsey pose la question : what is the rule for working out the formula for a sequence with three lines of difference? eg.
1, 3, 7, 15, 29
1st line differences: 2, 4, 8, 14
2nd line differences: 2, 4, 6
3rd line differences: 2, 2 Penny Nom lui répond. |
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Rolling 5 sevens before rolling a six or an eight |
2002-01-20 |
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Tony pose la question : When rolling 2 dice, what is the probability of rolling 5 sevens before rolling a six or an eight? Andrei Volodin and Penny Nom lui répond. |
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My salary is doubled everyday for 30 days |
2002-01-17 |
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Kanishk pose la question : I recieve 1 penny the 1st day, 2 pennies the 2nd day, and my salary is doubled everyday for 30 days. How much money will I have by the end of the 30 day time period? (Is there a way of solving this problem without a chart?) Penny Nom lui répond. |
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A sequence |
2002-01-16 |
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Chris pose la question : I have spent two days trying to determine the pattern to the following set of numbers: 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,____. I need the next four numbers to the sequence. Claude Tardif lui répond. |
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Negative exponents |
2002-01-16 |
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Julie pose la question : If z to the power of -4= 1/z4 then how would you solve 1/t-2? Penny Nom lui répond. |
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Linear regression |
2002-01-16 |
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Murray pose la question : If you have a set of coordinates (x[1],y[1]),(x[2],y[2]),...,(x[n],y[n]),find the value of m and b for which SIGMA[from 1 to m=n]AbsoluteValue(y[m]-m*x[m]-b) is at its absolute minimum. Harley Weston lui répond. |
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Algebra review questions |
2002-01-14 |
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A student pose la question :
- A wildebeast was observed racing a distance of 86.4m in 4.8 seconds. Find the speed of the wildebeast in m/s.
- 8x - 7 - 5x = 23
- 7 z - 3 (z + 2) = 26
Penny Nom lui répond. |
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Adding vectors |
2002-01-12 |
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Lena pose la question : how do you add vectors together? If you are given the length and angles of both vectors and are asked to add/subtract them, how do you do it? I know you are supposed to do the head to tail method, but whenever i try it i get the wrong answer. I need help setting it up. example: A is 2.7cm, and 60 degrees, B is 1.6cm and 135 degrees, find the magnitude and amplitude Penny Nom lui répond. |
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The tangent function |
2002-01-12 |
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Justine pose la question : if you know that sin45degress = cos45degrees, how do you know that tan45degrees = 1? Penny Nom lui répond. |
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A sequence of number pairs |
2002-01-10 |
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Terry pose la question : Three is the first number of a pair, and 8 is the second.
a. If 50 is the first number, what is the second number? b. If 200 is the first number, what is the second number? c. If 89 is the second number, what is the first number? d. If a number n is the first number, what is the second number?
3-8 4-11 5-14 6-17 ____ ____ ____ 10-29 ____ ____ ____
Peny Nom lui répond. |
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Glasses of wine |
2002-01-10 |
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A student pose la question :
6 glasses of regular wine (12% alcohol) would equal aprox.? glasses of wine (8% alcohol)
a)9.33 b)8.5 c)7.75 d)9.0 Peny Nom lui répond. |
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Maple trees and pine trees |
2002-01-06 |
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A student pose la question : A team of scientists found that in a forest there was four maple trees for every nine pine trees.How many maple were there if they counted 45 more pine than maples? Penny Nom lui répond. |
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Simultaneous equations |
2001-12-17 |
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Matthew pose la question : 4x + y = 4 2x - 3y = 5 what is x and y Penny Nom lui répond. |
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A 1 m by 1 m square box in the xy-plane |
2001-12-15 |
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Murray pose la question : Inside a 1 m by 1 m square box in the xy-plane, there are finitely many line segments, whose lengths sum to exactly 10 m. Show that there exists a straight line in the plane which crosses at least six of these line segments. (Hint: first, show that there exists a straight line in the plane which crosses at least five of these line segments.) Claude Tardif lui répond. |
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Exponential form |
2001-12-11 |
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Crystal pose la question : Hi, I am asking a question on behalf of a homeschooling grade 11 student. She is having trouble with changing something like (3-4)2 into a exponential form. First of all she needs to know what the term means "exponential form" and then the process of it. Penny Nom lui répond. |
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y = zx - x - c |
2001-12-11 |
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Andrew pose la question : Could you please help me work out the value of x where: y = zx - x - c Penny Nom lui répond. |
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Normal lines |
2001-12-11 |
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Kristie pose la question : Why are perpendicular lines called normal lines? Chris Fisher lui répond. |
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Two equations in two unknowns |
2001-12-04 |
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Courtney pose la question : y = 3x + 2 y = 4x - 5
solve for x Penny Nom lui répond. |
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Solving x^2-3x+5=0 |
2001-11-30 |
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Katy pose la question : How do you find the solution to x2-3x+5=0? Penny Nom lui répond. |
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Slope intercept form |
2001-11-27 |
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A student pose la question : what is slope intercept form? Penny Nom lui répond. |
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Undetermined coefficients |
2001-11-22 |
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Hoda pose la question : The equation is: y" - 2y' + y = t et + 4 We need to use The method of Undetermined coefficients. I have tried assuming that the solution is Atet+Bet+C, but all I get is C=4 and I tried (At2+Bt+C)et+D, but again I get 0=0 when I calculate the first and second derivatives, so i get no information on the constants. Any suggestions? Harley Weston lui répond. |
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Matrix |
2001-11-21 |
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Hoda pose la question : I have a question about matrix multiplication; well, actually, matrix division. I am assuming that matrices are divided the same as they are multiplied; that is, row by column. But what happens if you have to divide by zero? How does this affect the resulting matrix? Patrick Maidorn and Penny Nom lui répond. |
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A tangent line |
2001-11-21 |
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A student pose la question : write an equation of the line tangent to the graph of
ey + ln(xy) = 1 + e at (e,1) Harley Weston lui répond. |
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Number sequences |
2001-11-17 |
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Stephanie pose la question : My name is Stephanie. My grade 7 math class is studying number sequences and, to me, they make almost no sense at all. Here I wrote down 2 of the many problems I have for homework and was wondering if you could explain them to me (I have to find the next 3 numbers in each sequence.) It would be a big help! 10, 14, 18, 22, _, _, _. 12, 21, 39, 75, _, _, _. Penny Nom lui répond. |
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How do you get to 100 by using 6 nines? |
2001-11-17 |
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A student pose la question : How do you get to 100 by using 6 nines? Claude Tardif lui répond. |
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Negative numbers |
2001-11-15 |
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Jewel pose la question : If zero means nothing or an empty set, then how can a number be less than zero, as in negative number? My understanding of negative numbers is distance from a set point in a given direction. Thus having a negative and positive side of a line is arbritary and is related to displacement rather than value. Am I in error? Penny Nom lui répond. |
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3x-1/2(x-4)+5= -3 |
2001-11-13 |
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Tausa pose la question : 3x-1/2(x-4)+5= -3 Penny Nom lui répond. |
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Inequalities |
2001-11-13 |
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Pat pose la question : When writing the solution to an inequality, why is the solution written in set notation? {x/ } Penny Nom lui répond. |
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Squares of negative numbers |
2001-11-03 |
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Susana pose la question : I wanted to know if I can square a negative number..? Leeanne Boehm lui répond. |
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(-3)to the power 2, divided by 3 |
2001-10-31 |
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Raz pose la question : what is (-3)to the power 2, divided by 3= Penny Nom lui répond. |
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Is the tree a pine tree? |
2001-10-27 |
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Kate pose la question : Suppose Stock Brokers tell the truth 2/5 of the time, and 1/3 of the trees in a given forest are Pine. If 4 Stock Brokers say that a certain tree in that forest is Pine, what is the probability that the tree is indeed a Pine tree? Penny Nom lui répond. |
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Negative times negative is positive |
2001-10-26 |
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Mary pose la question : I have a question about adding and multiplying positive and negative numbers. When we add two negative numbers the answer is negative BUT when we multiply two negative numbers the answer is positive. I don't understand. Why? Penny Nom lui répond. |
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Why do you flip the inequality sign? |
2001-10-26 |
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Sean pose la question : I have a question about an inequality problem. Here it is: Solve and graph 5 - 3x => 17. (=> is greater than or equal). Please tell me why you flip the inequality sign when divinding by a negative number. Penny Nom lui répond. |
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Lines in the plane |
2001-10-21 |
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Greg pose la question :
*If the line with equation 3x-4ky= -16 has y-intercept -2, find k. *Write the equation of the line passing through (2,5) and perpendicular to the line passing through (2,-4) and (6,1) Penny Nom lui répond. |
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Water in a conical tank |
2001-10-20 |
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Sarah pose la question : The problem: Water flows into a conical funnel at a continuous rate of one gallon per minute (One gallon = 231 Cu.In.). The height of the funnel is 5" and the diameter is 8". The 1st formula: I need to develop a formula that will give the volume, in cubic inches, of the water in the funnel at any time t (in seconds). V = f(t). The 2nd formula: I need to develop a formula that will give the height of the water in the funnel at any time t (in seconds). h = f(t). Penny Nom lui répond. |
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A function or not a function? |
2001-10-18 |
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Christian pose la question : Which are the following are not functions? - y = x2
- y = x3
- x = y2
- y = 3
Leeanne Boehm lui répond. |
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A line in 3 dimensions |
2001-10-17 |
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Murray pose la question : I'm working on a complicated proof and i need the equation for a line in 3 dimensions. Claude Tardif lui répond. |
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Rules of exponents |
2001-10-14 |
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Carissa pose la question : how do you work this out? Investigate the relationship between a,b,c and d if 2a*2b=4c/4d? Leeanne Boehm lui répond. |
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Six nines |
2001-10-09 |
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A mom pose la question : My middle schooler (sixth) has to calculate the integers 0-20 using only 6 nines. We have done all but the integer 14. He can not use decimals or double the nine like 99 or 19. the fraction 9/9 is okay. Keep in mind of course the order of operations. Claude Tardif lui répond. |
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Zero as an exponent |
2001-10-04 |
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Wendy pose la question : How do I explain to kids that i.e. 5 exponent 0 = 1? Does 0 exponent 0 = 1? Leeanne Boehm and Penny Nom lui répond. |
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(x^2-5x-6)/(x-6) |
2001-10-02 |
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Bill pose la question : given f(x) = (x2-5x-6)/(x-6) find f'(6). Harley Weston lui répond. |
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1:5 |
2001-09-27 |
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Sandy pose la question : A colleague and I have a disagreement about dilutions. I seem to remember that I was taught (although it was a long time ago) that a RATIO was written thusly: 1:5 , and read " one part to five parts", for a total of 6 parts. On the other hand, a fraction is written: 1/5 and is read" one part in five" for a total of 5 parts. My colleague says that the ratio reads "one part in five" and is essentially the same as a fraction. Which is right? Have I been doing dilutions wrong all this time? I teach Animal Nursing and need to know where I can find a consise answer to such questions for making up medicated fluids, etc. Penny Nom lui répond. |
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The triangle inequality |
2001-09-27 |
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A student pose la question :
__ __ __
Prove that AX + XB = AB for any X on AB.
Chris fisher lui répond. |
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Four sequences |
2001-09-24 |
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Nicole pose la question : I have a few questions I couldn't figure it out. So any help will be great to find the next three numbers or letters. Here's the patters... - DEGHNORY, EHILMU, HIILMTU, BEILLMRUY,...
- 50, 33, 25, 20, 16, 14, 12,...
- 1777, 1795, 1818, 1819, 1820, 1822, 1836, 1837..
- A,H,I,M,O,T,...
Chris Fisher and Penny Nom lui répond. |
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An acute scalene triangle |
2001-09-24 |
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Kim pose la question : Hi- I'm on a mission--I'm suppose to have a group of children write up a hypotheses about the altitudes and angle biscetors of the follwing 3 types of triangle--equilateral, isosceles and acute scalene triangle. Is there such a thing as a acute scalene triangle and why or why not. Chris Fisher lui répond. |
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A linear inequality |
2001-09-17 |
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Eric pose la question : How can I solve |x + y| + |x - y|< =6? Penny Nom lui répond. |
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Integers |
2001-09-09 |
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A student pose la question : I am a Grade 9 student from Ontario Canada who has never understood how to do integers very well. I was wondering if you would be able to either send me some sites that will tell me how to calculate them in a simple way or if you would be able to write me back and give me some pointers. Leeanne Boehm lui répond. |
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Earthquake warning |
2001-09-03 |
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Dillon pose la question : In the city of Skangai there are 6 million people.Each person has to tell 2 more people that theres going to be an earthquake. After they do they leave the city. There will be no duplications.It takes 3 minutes to tell each person. How long will it take for the whole city to know about the earthquake? Penny Nom lui répond. |
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Linear regression |
2001-08-01 |
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A student and a mother pose la question : My mom is taking a correspondence course in Simple Linear Regression and Correlation Analysis and we've been arguing about the relationship between the correlation -rxy and standard estimate of error-Sy.x. I took statistics last year in high school and I remember something about the Sy.x being proportionate to the r. Are they inversely related, directly related, not related, or can only range from 0 to 1.00? Her book doesn't say very much and I believe they are inversely related. She says they're directly related. Chris Fisher and Penny Nom lui répond. |
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The radius of a planet |
2001-07-30 |
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Jessica pose la question : A satellite is orbiting the earth at an altitude of 100 miles. If the angle of depression from the satellite to the horizon is 50 degrees, what is the radius (to the nearest mile) of the planet? Harley Weston lui répond. |
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The best linear model |
2001-07-29 |
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Rebeca pose la question : I am a student (senior) summer hire working for Dept of the Army Resource Management. I've been assisting the Analyst in developing a model to predict training costs. The technique we used was simple linear regression. Now I've been asked for my opinion in choosing the best model I feel is better. I've chosen #1. Garrison Training but I want a second opinion before I give my choice. I've taken basic statistics last year in high school and will probably be taking more this year. Could you look over the information and give me a reason my choice would not be best? The dep variable-y, is Training costs in dolars per day. Model | Ind Variable- X | a | b | r | sy.x | 1. | Garrison Training | 126.31 | 0.982 | 0.9055 | 117.2 | 2. | Local Training | 212.16 | 1.37 | 0.7937 | 142.7 | 3. | Man Rig Area | 116.38 | 2.47 | 0.6481 | 175.6 | 4. | Major Training | 346.12 | 4.67 | 0.7280 | 167.2 | Andrei Volodin lui répond. |
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A trig identity |
2001-07-27 |
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Jeff pose la question : prove this identity and show steps tan(x/2+pi/4)=secx+tanx Harley Weston lui répond. |
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Matrix reconstruction |
2001-07-19 |
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Guy pose la question : Is there a way to get the sums of rows, columns and diagonals of an n x n matrix to reconstruct the original matrix? Walter Whiteley and Patrick Maidorn lui répond. |
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The speed of the boat |
2001-07-12 |
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Sharon pose la question : A motor boat is travelling in a southeasterly direction in water that is flowing from the south at 2km per hour. Show that the speed of the boat is (6 times the square root of 2) km per hour, given that it can travel at 10km per hour in still water. Penny Nom lui répond. |
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A phone bill |
2001-06-18 |
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Janet pose la question : What is the formuala to calculate cost per minute? Here is the data below # of calls - 238 # of minutes - 443 cost - $70.06 Penny Nom lui répond. |
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An inequality involving triangles |
2001-06-12 |
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Sandra pose la question : The triangle inequality guarantees that the sum of the lengths of two sides of a triangle is greater than the length of the third. As a consequence, if x and y are legs of a right triangle, with x less than or equal to y, and z the hypotenuse, then x + y is greater than z, so x is greater than z - y. Under what circumstances will x is greater than 2(z - y) be true? Chris Fisher and Penny Nom lui répond. |
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Exponential form |
2001-06-06 |
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A student pose la question : Hello can u please answer my question what is the exponent form of 8x8x8x8 Penny Nom lui répond. |
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The shortest distance from a point to a line |
2001-06-05 |
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Kat pose la question : Find the shortest distance from the given line. Round to the nearest tenth. (-2,-1) and x+5y+20=0 Penny Nom lui répond. |
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Conservation, consumption and population growth |
2001-06-04 |
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Steve pose la question : I'm trying to quantify the relation between conservation/consumption and population growth. For instance let's consider California: The 2000 census states that California's population grew from 29,760* in 4-1990 to 33,871 in 4-2000. I want to find r or rate of growth per year. Based on the exponential growth formula for population growth: . . . Penny Nom lui répond. |
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Common solution |
2001-06-02 |
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Samantha pose la question :
- Solve for common solution: x+y=6 2x-3y=2
- Solve for y in terms of x: 3x-y=4
Penny Nom lui répond. |
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New Quebec reform |
2001-05-24 |
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Marie-Andrée pose la question : I am a middle school teacher beginning to adapt to the new Quebec reform. I am regularely doing projects in écologie and géographie in French immersion based on the international schools way of thinking (What form does it have? How does it work? What is its history? How does it change? How is it linking to our lives? What is our responsibility about that fact or that thing?) and I have real difficulty to make it work for math. So now, I am looking for math concepts (8) which would link to the same way of thinking. What are your suggestions? Claude Tardif lui répond. |
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25 y^2 + 20 y z - 4 z^2 |
2001-05-15 |
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Kimmy pose la question : i don't know how to factor the trinomial 25y2 + 20yz - 4z2. I can get it, but i get messed up on getting the minus 4 at the end. all i get is a plus 4. Can it even be factored. Penny Nom lui répond. |
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A pile of sand |
2001-05-14 |
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Gul pose la question :
- Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m
- calculate the volume of the pile
- if one sander can take 6.9 m of sand, how many sanders can be filled from the pile?
Penny Nom lui répond. |
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The angles in a triangle |
2001-05-11 |
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Nikki pose la question : Find the measure, to the nearest degree, of each angle of a triangle with sides of the given lengths. 26, 35, 40 Penny Nom lui répond. |
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Isoscles and scalene |
2001-04-17 |
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Autumn pose la question : explain where the term isoscles and scalene came from? Chris Fisher lui répond. |
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Solving some equations |
2001-04-16 |
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Justin pose la question : Solve the following equations for x - x+7=10
x=
- x-7=10
x=
- 3x=7
x=
- x/3=10
x=
- .
- .
- .
- .
Penny Nom lui répond. |
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Where do the lines y=2x-4 and y=x-1 intesect? |
2001-04-06 |
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Bryce pose la question : solve the following problem by setting them equal to each other. Solve for x and y. Where do the lines y=2x-4 and y=x-1 intesect? Penny Nom lui répond. |
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The unit circle and trigonometry |
2001-04-05 |
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Ashley pose la question : "My teacher wants us to find out what a unit circle is, which I found out, a circle with the radius of 1, but the problem is he wants us to show the relationship between the unit circle and the sine(30,45,60 degrees), cosine(30,45,60 degrees),and tangent ratios(30,45,60 degrees). I need help with this and my teacher will not help us out. Thanks very much ... Penny Nom lui répond. |
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A sugar cane crop |
2001-03-27 |
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A student pose la question : a sugar cane farmer harvested only 1/4 of his crop. he sold 2/3 of his harvest to the mill. what fraction of the total crop did he sell. darens recipe for florida fudge calls for 5/8 cup of sugar. if he wants to make only 1/2 of the recipe how much sugar should he use. Penny Nom lui répond. |
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Matrices |
2001-03-26 |
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Peg pose la question : What are some applications of matrices, basic trigonometry, and linear systems in the real world? I'm writing and Algebra report about where these topics are used outside of the classroom. Judi McDonald and Walter Whiteley lui répond. |
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An elliptic tunnel |
2001-03-24 |
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Janna pose la question : A tunnel is built under a river for a road 12m wide with a 2m sidewalk on either side. The top of the tunnel is semi-elliptical. A local bylaw stipulates that there must be a clearance of at least 3.6m at all points on the road. If the smallest possible ellipse is used, find the clearance at the center of the road. Harley Weston lui répond. |
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A famous landmark |
2001-03-23 |
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Corinne pose la question : A family is traveling due west on a road that passes a famous landmark. At a given time the bearing to the landmark is N 62 degrees W, and after the family travels 5 miles farther the bearing is N 38 degrees W. What is the closest the family will come to the landmark while on the road? Harley Weston lui répond. |
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Genealogy |
2001-03-22 |
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Brian pose la question : In considering tracing genealogy the problem of a large and growing number of direct (grandparent) ancestors arose. Since the number of grandparents in any given generation doubles, for a person born in 2000 and assuming 25 year generations, in the year 1000 that person would have over one trillion direct ancestors in that year alone. Since estimates I have read place the total world population in 1000 at 250-300 million, the one trillion figure cannot be correct. I must be missing something in my calculations. Can you help provide the answer? While I am unlikely to be able to trace back to 1000, there is reason to believe 1250 is possible. Even in that year there would exist over one billion direct ancestors. That is certainly rather daunting and unlikely to be achieved if correct. Penny Nom lui répond. |
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Systems of equations |
2001-03-16 |
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joy pose la question : How do u solve problems using systems of equations? ~ finding x and y~ ex:
26 = 3x - 2y 42 = 4x + y Penny Nom lui répond. |
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The substitution method |
2001-03-05 |
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A student pose la question : Solve each system of equations by the substitution method. Show your work. - y = 8
7x = 1 - y
- y = x - 1
4x - y = 19 Penny Nom lui répond. |
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Powers |
2001-03-04 |
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A student pose la question : Hey, can you show me how you do .. (2xy)to the 3rd power (x) to the 2nd power? Penny Nom lui répond. |
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Solving Equations |
2001-02-23 |
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Stephanie pose la question : Do you know who came up with solving equations? Do you have any web-sites that can give me good information on solving equations? Do you know any history on solving equations? Do you know what solving equations is used for? And finally............Sorry about all of the questions :) Has the form of solving equations changed from the time it came out to now? Juci McDonald lui répond. |
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Faces |
2001-02-21 |
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Sandy pose la question : How many faces are there on a sphere? What are the faces of a cone? What is the definition of a "face" of a 3D object? Walter Whiteley lui répond. |
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The law of cosines in the real world |
2001-02-21 |
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Hope pose la question : Do you have any examles and/or labs that show how the law of cosines is used in the real world? Harley Weston lui répond. |
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Law of cosines |
2001-02-20 |
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Emily pose la question : I missed a few days of class and I can't figure out how to solve Law of Cosines problems. I have the notes and formulas but I can't figure out how to do the math involved to answer the problems. I am also getting confused about how to use degrees and seconds in the Law of Sine and Cosine. I can't seem to get the correct answers and I don't really know how to solve them and enter them into my TI 86. Harley Weston lui répond. |
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Linear equations |
2001-02-13 |
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Jamie pose la question : I have a question how do you do linear equation? Penny Nom lui répond. |
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Two inequalities |
2001-02-12 |
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A student pose la question : If 3 Leeanne Boehm lui répond. |
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Multiplying one and two digit numbers |
2001-02-11 |
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Marty pose la question : When multiplying do you put the number you are multiplying by on the top or the bottom. Example if you are multiplying by 6's would you write the problem 6 x 2 or 2 x 6 Maybe it just doesn't matter. But when you get to double digits, the double digit always goes on the top? Penny Nom lui répond. |
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Kinds of lines |
2001-02-09 |
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Robyn pose la question : What are the different kinds/types of lines? Leeanne Boehm lui répond. |
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Partitioning of an arbitrary line segment |
2001-02-08 |
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David pose la question : Did Euclid's Geometry include a construction for the regular partitioning of an arbitrary line segment? Chris Fisher lui répond. |
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Bicycles and phone calls |
2001-02-08 |
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Sarah pose la question :
- A bicycle has a diameter of 66 centimeters. How many times must the tire rotate to travel 1 kilometer?explain answer.
- Becky want to make a long distance call to her friend Sarah from a pay telephone.She has $5.00 in change.The call costs $0.90 for the first three minutes and $0.24 for each additional minute.How long can Becky talk to Sarah?
Leeanne Boehm lui répond. |
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(-2b+3)(-b-1) |
2001-02-06 |
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Melissa pose la question : Alright, lets say you are multiplying (-2b+3)(-b-1) and you are using "FOIL" first you would get : 2b2+2b-3b-3 then you add like-terms. when multiplying,if the bases are the same, add the exponents...does the same thing apply when you are adding the results of the multiplication even though it's addition? would the answer be 2b3-3b-3 or would it be 2b2-b-3? Penny Nom lui répond. |
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Which fraction is greater? |
2001-02-01 |
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Carol pose la question : Hello My name is Carol I am a student teacher! I am asked to aproach these students on their problems. I am unsure of how to explain to them that these are wrong. Can you help? Thanks. Iris claims that if we have two positive rational numbers, the one with the greatest numerator is the greatest. Shirly claim that if we have two positive rational numbers, the one with the greatest denominator is the least. Thanks! Claude Tardif lui répond. |
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1 + 1 = 1 |
2001-01-23 |
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Stephanie pose la question : My friend has this as a bonus question the other day and I want to figure it out. I don't know how 1+1 in any form could equal 1. Please let me know how you come about geting that. Claude Tardif lui répond. |
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A problem with distance |
2001-01-16 |
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A student pose la question : For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than the square root of 26. Penny Nom lui répond. |
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Polynomials and exponents |
2001-01-15 |
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A student pose la question : I am duing a project in math on polynomials and exponents. I need a real life usage of polynomials and exponents for my project. Penny Nom lui répond. |
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Some terms in a sequence |
2001-01-15 |
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jamie pose la question : Please help as soon as possible! i am stuck with some terms in a sequence. the terms are 1st term=1, 2nd term=10, 3rd term=35, 4th term=84, 5th term=165, 6th term=286. can anyone tell me the formula for the nth term? n is term number Sukanta Pati lui répond. |
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Exponents |
2001-01-14 |
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A student pose la question : I am wondering if a number raised to the second power is "squared" and a number raised to the third power is "cubed" is there a name for any number raised to any other power. Harley Weston lui répond. |
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Vitamins A and B |
2001-01-14 |
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Sara pose la question : A diet is to include at least 140 mg of Vitamin A and at least 145 mg of vitamin B. these requirements are to be obtained from two types of food. type X contains 10 mg of vitamin A and 20 mg of vitamin B per pound. Type Y contains 30 mg of vitamin A and 15 mg of vitamin B per pound. if type X food costs $12 and Type Y $8 per pound, how many pounds of each type of food should be purchased to satisfy the requirements at the minimum cost? Claude Tardif and Harley Weston lui répond. |
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Blood flow and age |
2001-01-11 |
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Gayle pose la question : I don't understand the second part of this problem Here is the first part that was correct. A 35yr old has 100% blood flow. A 65yr old has 64% blood flow. Find the rate of change per yr in the percent of blood flow. (This part is correct) m=(64-100)/(35-65)= -36/30= -1.2 per year of blood flow. Now, here is the second part I DON'T UNDERSTAND! .Let b represent the percent of blood flow and a represent a person's age. Write an equation that you could use to predict the percent of blood flow for a person of any age over 35. Penny Nom lui répond. |
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x^5 + y^5 + z^5 = w^5 |
2001-01-11 |
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Samuel Brown pose la question : x5 + y5 + z5 = w5 I have no idea whether or not this is possible. Claude Tardif lui répond. |
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cot(arcsin 3/5) |
2001-01-07 |
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Jason pose la question : Find value. Assume that all angles are in Quadrant 1. cot(arcsin 3/5) Harley Weston lui répond. |
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The laws of sines and cosines |
2001-01-02 |
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Faydene pose la question : Can the sine /cosine rule be applied to a right -angle triangle to find a particular solution or are these 'rules' applied only when the triangle is not right angled? Penny Nom lui répond. |
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Solving x - sin(x) = constant |
2000-12-29 |
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Keith Roble pose la question : If x is in radians, how do you solve for x, where: x-sin(x) = constant? Harley Weston lui répond. |
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Calculating the tax |
2000-12-22 |
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A grocer pose la question : I have a small grocery store. I have a bag of money containing $325. This represents the mornings receipts and a tax of 5.75% is included in the total. How can I separate the gross take from the tax take so that I'll know how much is mine and how much is the state's? Penny Nom lui répond. |
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Networks of satellites and linear spaces |
2000-12-08 |
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David pose la question : Let us suppose some companies have collaborated to place several satellites in orbit. Let us call the set of all satellites that a given company helped place in orbit a network. Finally let us assume the following 4 rules. - There are at least two distinct satellites.
- For each pair of satellites there is exactly one network containing them.
- Each network contains at least two distinct satellites.
- For each network, there is a satellite not in it.
What is the least number of satellites. what is the least number of networks? Penny Nom lui répond. |
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< and > Which one is which? |
2000-12-06 |
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Alice pose la question : This grandmother forgot and wants to know the correct for greater and the one for lesser..... the two are < and > Which one is which? Penny Nom lui répond. |
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Trig identity crisis |
2000-11-29 |
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Rhiannon pose la question : I have tried many times to find the answer to these problems but I can't I am in grade 12 - tan(x)=csc2(x)-cot2(x)
- cos(x)/csc(x)-2sin(x)=tan(x)/1-tan(x)
- cos(x)[ tan2(x)1-1]/cos2(x)+sin2(x)=sec(x)
Harley Weston lui répond. |
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Vector Problem |
2000-11-27 |
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Ben pose la question : An aircraft can fly 260km/h in still air and the wind is blowing at 70km/h towards the West. In what direction should the aircraft head so that its actual velocity is on a bearing of 030 degrees? Harley Weston lui répond. |
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A piecewise linear equation |
2000-11-24 |
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Jacky pose la question : There is a light bulb and it is given that the light bulb cost $0.75 and the cost of operating it is $0.0081 per hour. From the information give, I came up with the linear equation: Let c be total cost and Let h be hours used. Therefore: c = 0.0081h + 0.75 represents the total cost of the light bulb and the electricity. However, the second part of the question added the fact that the light bulb will only last for 800 hours. If the light bulb is replaced as soon as it burns out exactly after every 800 hours, how can I write an equation that represents that? Is it possible? What would it look like on the graph. Harley Weston lui répond. |
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Net, gross and vat |
2000-11-20 |
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Chris pose la question : I have my gross but want to find out the net so I know how much the VAT is? Penny Nom lui répond. |
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Solving an equation |
2000-11-14 |
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Heather pose la question : 4x-3 = 3x+4 these kinds of problems i dont get but everything else in my math class i have got. i just dont understand it. Penny Nom lui répond. |
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Graphing F(x) = 3x |
2000-11-06 |
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Jose pose la question : graph the exponential problem F(x)=3x Harley Weston lui répond. |
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Divisibility by 9 |
2000-10-24 |
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Kelera pose la question : If the sum of the digits of a number is divisible by 9, then the number itself it divisible by 9. Why is that? How do you explain this? Penny Nom lui répond. |
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A sequence question |
2000-10-23 |
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Chell pose la question : I have the following sequence: 4 16 37 58 89 145 42 20 I have no clue how to arrive at an answer. I've checked to see if it can be defined as an arithmetic or geometric series, and it can't. I've looked for primes and noticed that 37 and 89 are the only primes ... but from there I've lost. Nothing I've tried seems to work, so please help! Thanks a million!!!! Chris Fisher lui répond. |
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Connecting to a water line |
2000-10-20 |
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Vanja pose la question : My question is...A house is to be connected to a new water main that runs along the line y=2/3x-1. The connection point at the house has coordinates (2,9), where the units represent metres. What lenght of plastic pipe is needed to connect to the water main at the closest point? Penny Nom lui répond. |
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Larger and smaller |
2000-10-10 |
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Nicole pose la question : which one of these arrows < , > points to the greater number? which arrows points to the smaller number. Penny Nom lui répond. |
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Pillows and Cushions |
2000-09-27 |
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Fiona pose la question :
The following problem was given to grade eleven algebra students as a homework assignment. To manufacture cushions and pillows, a firm uses two machines A and B. The time required on each machine is shown. Machine A is available for one full shift of 9.6 hours. Machine B is available for parts of two shifts for a total of 10.5 hours each day. Harley Weston lui répond. |
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Isolating an exponent |
2000-09-24 |
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C. Scott pose la question : Suppose you invest $500.00 in an account that pays 10% interest compounded annually. How long will it take for this value to triple? A=p(1 + i)a A=1500 i=0.1 1500=500(1.1)a p=500 a=unknown How do you solve this problem algebraicly? How do you isolate the variable (a) when it is an exponent? Harley Weston lui répond. |
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Buying art supplies |
2000-09-18 |
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Travis pose la question : An art teacher buys exactly 100 items at this sale, and the total cost before tax is $100. She buys at least one of each item. How many of each item does she buy? Markers $0.50 Sketch Pads $3.00 Paint Sets $10.00 Denis Hanson lui répond. |
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Two linear equations |
2000-09-14 |
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David Dean pose la question : 2a + 1b = 3.39 3a + 3b = 6.59 What formula do I use to find what a = ? Harley Weston lui répond. |
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Manipulating powers |
2000-09-13 |
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Phil pose la question : 21/5 x 42/5 = ? Penny Nom lui répond. |
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Inequalities |
2000-09-02 |
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Jennifer pose la question : I would like some help with equations and inequalities. My first inequality is 3p-6>21 and 3q+11+8q>99. Paul Betts lui répond. |
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How many planes contain a line and a point? |
2000-08-30 |
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Harold pose la question : How many planes contain each line and point? Harley Weston lui répond. |
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Three points on a line |
2000-08-25 |
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Casey pose la question : I am trying to find the slope and y-intercept of an equation. I have THREE x values and THREE y values. How do you do it? Help! Penny Nom lui répond. |
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Slope |
2000-08-19 |
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John K. DePonte pose la question : My question is to why the variable "m" was chosen to represent the slope of a linear equation. I always told my class to think of "m" for "m"ountain slope. But what is the real reason for this? Penny Nom lui répond. |
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Find the next term |
2000-08-12 |
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Ashley pose la question : 8,27,64 I need the next three numbers & I can't figure it out. I have worked on this all day. Penny Nom lui répond. |
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Some trigonometry |
2000-08-11 |
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Angela pose la question : I have some PreCal questions. I am a student at the secondary level. I would be very grateful for your help. Solve the equation for theta (0 <= theta < 2pi). tan2(theta) = 3 I know sec2(theta) -1 = tan2(theta) . . . Harley Weston lui répond. |
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A problem with a quadratic |
2000-08-09 |
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David Xiao pose la question : Find the value of a such that 4x2 + 4(a-2)x - 8a2 + 14a + 31 = 0 has real roots whose sum of squares is minimum. Harley Weston lui répond. |
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Graphing an inequality |
2000-08-02 |
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Lori pose la question : How do I find x and y and graph this problem 3x + y < 5 Penny Nom lui répond. |
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Two linear systems |
2000-08-01 |
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A student pose la question : please help me with this homework question. 5/x + 6/y= 19/6 3/x + 4/y =2 hint: let a = 1/x and b = 1/y substitute these expressions into the system to find a and b. Then find x and y. This is a question I answered wrong on a test: solve the given system for x, y, and z. Express your solutions in terms of a, b, and c. Penny Nom lui répond. |
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Making a paper cone |
2000-07-30 |
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John pose la question : The question of how to lay out & cut out of paper, cones came up. I would like the cone have : A base of 4 inches and height of 4 inches, 6 inches, 8 inches. Harley Weston lui répond. |
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Calculator and telephones keypads phones |
2000-06-27 |
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Thomas Smith and Veronica Yates-Riley pose la question : On a keyboard, why is the number "7" on the top of the keypad as opposed to the number "1" at the top a telephone keypad? Penny Nom lui répond. |
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Lines on an oscilloscope screen |
2000-06-20 |
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Janis Watson pose la question : What are the proper names for the vertical and horizontal lines on a graph? I am trying to explain an oscilloscope screen, and I don't know what to call these, except "vertical lines" and "horizontal lines." Penny Nom lui répond. |
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A sequence |
2000-06-16 |
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Claire Hall pose la question : Can you find the formula for the pattern 4,12,24,40,60 AClaude Tardif lui répond. |
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Using the inverse sine function |
2000-05-31 |
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Nelson Rothermel pose la question : This has me completely baffled. I have to use the laws of sine or cosine to find the angles of a triangle when I have 3 sides, so I can't go 180-x-y when I have 2 angles. Now, I have a triangle with values of 3, 7, and 9. Here are the steps I used (A,B,C are angles; a,b,c are opposite sides): angle A (16.1951 degrees): cos-1*((b2+c2-a2)/(2*b*c)) angle B (40.6011 degrees): sin-1*(b*sin(A)/a) angle C (56.7962 degrees): sin-1*(c*sin(A)/a) If you notice, A+B+C does not equal 180. According to the book, A and B are correct, but C is supposed to be 123.2038 degrees. Why doesn't it work??? Harley Weston lui répond. |
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The equation of a parabola |
2000-05-22 |
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Ian Forsyth pose la question : Given the points A(0,0) B(60,10) C(24,d) find the equation of the parabola. leave the equation in terms of x, y and d if the general form of a quadratic is y = ax2 + bx + c. Penny Nom lui répond. |
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Volume of a sphere |
2000-05-21 |
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Kevin Partridge pose la question : Does anyone have a way to physically demonstrate how to explain the volume formula for a sphere? Or perhaps how to derive the formula without calculus? Harley Weston lui répond. |
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Radioactive decay |
2000-05-18 |
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Catherine Sullivan pose la question : Please help me with the following: The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to carbon-12 at a rate proportional to the amount of C-14 present, with a half life of 5730 years. Suppose C(t) is the amount of C-14 at time t. - Find the value of the constant k in the differential equation: C'=-kC
- In 1988 3 teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of C-14 contained in freshly made cloth of the same material. How old is the Shroud according to the data?
Harley Weston lui répond. |
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Graphing a linear function |
2000-05-17 |
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Chelsea pose la question : I need help with grahing linear functions.If you could e-mail me back the basics and how tos I would be much appriciative. Penny Nom lui répond. |
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A matrix equation |
2000-05-14 |
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A student pose la question : Right now, we are dealing with matrices and we are supposed to solve the following problem on our graphing-calculators: 2a+3b-4c+d=20 a-2b+3c-5d=-14 3a+4b-2c+3d=19 5a-b+6c+4d=-5 Penny Nom lui répond. |
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Solve 2sin 3x-1=0 |
2000-05-11 |
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Cynthia pose la question : How would you solve 2sin 3x-1=0? I don't know what to do with the 3. Penny Nom lui répond. |
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Parallel and perpendicular lines |
2000-05-08 |
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Jimmy Lumpkins pose la question : Need a method for solving the following problem: Find the equation of a line through point P that is parallel or perpendicular to another line. Paul Betts lui répond. |
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sin(7pi/12) |
2000-05-04 |
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Kristel pose la question : What is the exact value of sin 7pi/12? Chris Fisher and Paul Betts lui répond. |
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A colony of bacteria |
2000-04-22 |
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Nicci Demmin pose la question : Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The colony starts with one bacterium and doubles every half hour. How many bacteria will the colony contain at the end of 50 hours? Penny Nom lui répond. |
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Uniting algebra and geometry |
2000-04-16 |
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Beth pose la question : Who is the mathmatician that united algebra and geometry??? Claude Tardif lui répond. |
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Lining a cone |
2000-04-06 |
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Jim Campbell pose la question : I am not a student, I am trying to solve a business problem. The question. If I want to put a lining in a chute that is cone shaped, how do I calculate the size steel plate I need to do that. The cone is 10' in diameter at the top and has a 20" hole at the bottom. The total height of the chute is 8'. Harley Weston lui répond. |
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y = x^x^x^x... |
2000-04-05 |
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Michael Hackman pose la question : Find the derivative of: y = x^x^x^x... on to infinity. Claude Tardif lui répond. |
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Running Through a Train Tunnel |
2000-04-01 |
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Eugene Chan pose la question : A man is running through a train tunnel. When he is 2/3 of the way through, he hears a train that is approaching the tunnel from behind him at a speed of 60 mph. Whether he runs ahead or back, he will reach an end of the tunnel at the same time the train reaches that end. At what rate, in miles per hour, is he running? (Assume he runs at a constant rate.) I think the answer (12 mph) is wrong. Also, I believe it should read 1/3 of the way through, but don't know how to prove it. Could you come up with some way to prove it, please? I would really appreciate it. Penny Nom lui répond. |
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Taxis in Chicago |
2000-03-27 |
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A high school studenthigh school student pose la question : Suppose that taxis pick up and deliver passengers in Chicago, which is divided into three zones. Records kept by the drivers show that of the passengers picked up in Zone 1, 50% are taken to a destination in Zone 1, 40% to Zone 2, and 10% to Zone 3. OF the passengers picked up in Zone 2, 40% go to Zone 1, 30% to Zone 2, and 30% to Zone 3. Of the passengers picked up in Zone 3, 20% go to Zone 1, 60% to Zone 2 and 20% to Zone 3. Suppose that at the beginning of the day, 600 of the taxis are in Zone 1, 100 in Zone 2, and 300 in Zone 3. What is the distribution of taxis in the various zones after all have had two riders? Harley Weston lui répond. |
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Divisibility by 3 |
2000-03-24 |
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Pat Walsh pose la question : W hy does it work when you add the digits of a number then divid by three to see if the number is divisible by three Penny Nom lui répond. |
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Compounding continuously |
2000-03-21 |
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Gina pose la question : You deposit $1500 in an account that pays 6.5% annual interest, compounded continuously. Find the balance after 10 years. I'm not sure what to do with the "compounded continuously" part. Penny Nom lui répond. |
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A system of equations in five unknowns |
2000-03-20 |
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Will pose la question : I have been having some problem with the following question for some time. I would appreciate any help on solving the problem or a solution. Q: Assume that a system of equations in the unknowns x1, x2, x3, x4 and x5 when converted to row echelon form gives . . . Penny Nom lui répond. |
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Completing a sequence |
2000-03-17 |
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David Grimmer pose la question : Complete the following sequence so that, after the first two terms, each successive term is the average of all the preceding terms. 20__ __ 28 __ __ Penny Nom lui répond. |
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Functions that satisfy f' = f |
2000-03-16 |
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Kevin Palmer pose la question : Recently my calculus teacher asked his students to try and find any functions whose derivatives where the exact same as the original function. The only function then I have determined that statement to be accurate in is all the natural exponential functions. Ex. f(x) = ex, f'(x) = ex If possible could you please email me all the functions that you can find in which the original function and its derivative is identical. Claude Tardif lui répond. |
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Simultaneous equations |
2000-03-11 |
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Laura Molck pose la question : My name is Laura Molck and I am in Year 11 in Australia. Please help me with the following. I know that they are all simultaneous equations which I can do but I have trouble with the formulae to work the equations. Can you please help!! 1. A tent manufacturer produces 2 models, Outback and Bushwalker. From earlier sales records it is known that 20% more of the Outback model is sold than the Bushwalker. A profit of $200 is made on each Outback sold, but $350 is made on each Bushwalker. If during the next year a profit of $177,000 is planned how many of each model must be sold? Penny Nom lui répond. |
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Systems of linear equations |
2000-03-10 |
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Ann Marie Devereux pose la question : hi there!!, I guess I have a problem!!! 3x+4y=10 (over) 4x+y=9 2x=5y+3 (over) x=3y+1 Penny Nom lui répond. |
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Angle of Intersection of Two Lines |
2000-03-02 |
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Veronica Patterson pose la question : I am having a real hard time trying to figure out this problem. Could you please help me! The homework question says to find the acute angle of intersection between the two lines y=3x+1 and y=(1/2)x-1. (It also says to use the results of a problem I had already figured out.) That problem was to use information from a picture shown that tan(theta sub1-theta sub2)= ((m sub2- m sub1)/(1+(m sub1 * m sub2))). I used the difference identity of tangent to figure out the answer. Any help on this problem would be greatly appreciated. Harley Weston lui répond. |
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Saving for college |
2000-03-01 |
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Andrew Kunz pose la question : SAVING FOR COLLEGE In this project, you will forecast a friend's finances. Jane has received $75 from her grandparents on every birthday since she was one year old. She has been saving the money in an account that pays 5% interest. She is saving her money to help you pay for her college education, which she will start this fall after her 18th birthday. She also has been receiving birthday checks from her other relatives, but these didn't start until she was 12 years old. The amounts of these checks from her 12th birthday until her 18th birthday are $45, $45, $55, $50, $55, $60, $65. How much money will she have saved just from her birthdays by the time she starts college? IS this a reasonable amount to pay for a used car during her junior year in college? If she had invested her money in a different accoutn that had earned 7% interest, how much more money would she have saved? Penny Nom lui répond. |
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What's the next term? |
2000-02-29 |
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Meredith O'Neill pose la question : At this point, the whole family wants to know the answer. if possible an explanation. thanks a sequence ? 16,37,58,89,145 ?? Chris Fisher lui répond. |
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A negative times a negative |
2000-02-29 |
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Michael J. Butler pose la question : I have reviewed the answer in relation to the question of why (-3)x(-2)=6; however, I am still not able to properly explain the reasoning to my son, Jonathan, who is in grade 7. I want him to understand the reason for the rule that the multiplication or division of two negative numbers equals a positive number. Can you help? Chris Fisher lui répond. |
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Slant height of a cone |
2000-02-24 |
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Jocelyn Wozney pose la question : I need help with this problem for my high school calculus class. Any help you can give me will be greatly appreciated-I am pretty stumped. "Express the volume of a cone in terms of the slant height 'e' and the semi-vertical angle 'x' and find the value of 'x' for which the volume is a maximum if 'e' is constant. Harley Weston lui répond. |
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More on googols |
2000-02-23 |
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Kevin Brennan pose la question : Could you please give me a couple of examples of when you MATH guys would use a google. Do youu measure, like, galaxies with it ? Or was it created to keep track of Mr Gate's bank account. Penny Nom lui répond. |
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Triple angle formula |
2000-02-23 |
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Sara pose la question : Can one derive a triple angle formula for sine and cosine? If so, how? Chris Fisher lui répond. |
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A valentines project |
2000-02-21 |
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Courtney Dohoney pose la question : I was assigned a valentines project. Our job is to make a valentines card that has a math theme. On my valentines card I would like to include the set of equations that when graphed look like a heart. If you can figure out a set of equations and get it back to me I would be very happy. Harley Weston lui répond. |
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A trig identity |
2000-02-17 |
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Eric pose la question :
Question: How do I solve this problem? sin3x cos3x _____ - _____ = 2 sinx cosx Chris Fisher lui répond. |
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Midpoints and endpoints |
2000-02-15 |
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Jessica Sipes pose la question : I need to know how to find and endpoint using the midpoint and the other endpoint. Penny Nom lui répond. |
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Ax + By = C |
2000-01-18 |
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Fatiha Khanboubi pose la question : I was wondering if you could please explain to me how I would write the equation of line through the given points [(4,1), (6,3)] in Ax+By=C form. Harley Weston lui répond. |
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An unbelievable story |
2000-01-17 |
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Melissa pose la question : good morning-i am taking a course "math for elementary teachers" and i have a take home problem that i really need help on. here is the question -the million dollar problem a recent item in the newspaper described a robbery in which the robber had held up a local bank for 1 million dollars in small bills, had the tellers put the money in a briefcase which he gave them, and fled the scene on foot. is this story believable? explain your answer! Harley Weston lui répond. |
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Parallel lines |
2000-01-12 |
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Lori pose la question : Find an equation of the line parallel to the given line containing the given point. x + y = 2; (1,2) We know parallel line have the same slope and we know the answer y = -x + 3. Penny Nom lui répond. |
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Parallel planes |
2000-01-10 |
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Hugo Alvarez pose la question : When two parallel planes are cut by a third plane, the lines of the intersection are? Claude Tardif lui répond. |
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Phone Number Possibilities |
2000-01-09 |
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Hamilton Weston pose la question : How do phone companies arrive at the possible number of phone numbers that can be generated for customers? Harley Weston lui répond. |
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Derive the quadratic equation |
2000-01-01 |
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Thuy pose la question : My teacher asked us this question in which i can't understand when she asked to derive the quadratic equation. What does this mean? Penny Nom lui répond. |
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Graph of a sine function |
1999-12-23 |
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Pierre pose la question : Given; amplitute:1 period: 540 Phase shift: 60 degree,right I am ask to right the equation: sin 2/3 (value -60degree) When I am asked to graph the equation, the period is mixing me up. Harley Weston lui répond. |
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Logarithms |
1999-12-16 |
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Pierre pose la question : Can you please answer those three question - inverse or the exponential function.
logx 81 = 4, x expo4 = 81, x = +or- 4square root 81, x = +or- 3 s.s = {3} Why is -3 not acceptable. - .
. . Harley Weston lui répond. |
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Sines & cosine laws |
1999-12-10 |
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Pierre Boivin pose la question : Triangle LMN, angle L=71 degree , LM= 7.2 , MN=8.3 , ln= 5.9 The questiion was to find angle M. Using the cosine law I found the answer to be 44 degree. It is also the book answer. Using the sines law I found the answer to be 42.2 degree. why can't I use the sines law. Chris Fisher lui répond. |
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Inequalities and absolute values |
1999-12-07 |
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Austin Cline pose la question : Solve for x: The absolute value of x-1 is less than or equal to the absolute value of x-2 Harley Weston lui répond. |
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Bases other than 10 |
1999-12-06 |
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Garret Magin pose la question : We are doing a lesson on numbers of other bases than 10. We are working with binary, octal, and Hexadecimal. I was wondering what is used to represent number of different bases other then 16? Does it just continue on with the alphabet and if so what happens when you get to Z. It would be a help if you could answer this because it is really bugging me. And none of the math teachers at my school could let me know. Claude Tardif and Patrick Maidorn lui répond. |
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Systems of equations |
1999-12-06 |
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Roger Hornbaker pose la question : I am having problem figuring out x and y solutions. - 5x + y = 4
3x - y = 4 - 3x + 2y = 6
- 3x + y = 0 Penny Nom lui répond. |
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Log Cancel |
1999-12-03 |
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Justin Murray pose la question : Ok I feel like a goof because I know this and I cant think of an answer But I want to isolate the x in the function y=2^x how do I do this? Harley Weston lui répond. |
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The elimination method |
1999-12-02 |
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Jennifer pose la question : Could I get an answer to this one: 2x+5y=36 3x+2y=32 I have to use the Elimination method, as I already know how to do Substitution. How do I begin and show my work? I'm attempting to eliminate the values for y. Penny Nom lui répond. |
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Zero to the zero |
1999-12-02 |
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A middle school teacher pose la question : I am a middle school teacher who is looking for a precise explanation of why zero raised to the zero power is undefined. I am hoping to get an explanation using something other than the fact that diividing by zero is undefined. Penny Nom lui répond. |
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Get rich quick |
1999-12-02 |
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Holly Hutson pose la question : If one cent were placed in an investment that doubles in value every day, what would be the value of the investment at the end of 30 days? Penny Nom lui répond. |
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Cos x = -1/2 |
1999-12-01 |
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Pierre Boivin pose la question : When I factor[ 2cos (square) - 5cos -3], I get (2cos + 1)(cos - 3). 2cos + 1 = 0, 2cos = -1, cos = -0.5,. Using inv cos on calculator, I get 120 degree related angle. When I graph I get two values, between 90 and 180 degree and between 180 and 270 degrees. How do I find those two values. How do use 120 degree in relation with the x axis. Penny Nom lui répond. |
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A matching quiz |
1999-11-20 |
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William J. Ricciardi pose la question : I gave a matching quiz the other day and one of my students got all 9 incorrect. That got me thinking......What is the probability that someone could get all 9 questions incorrect? Peny Nom lui répond. |
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Critical numbers |
1999-11-17 |
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Sarah pose la question : My question is this: If f(x)=2x3+4x2-9x+8 and the derivative is f'(x)=6x2+8x-9, how do I find the critical points if f'(x) is not factorable?? Penny Nom lui répond. |
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Two derivatives |
1999-11-16 |
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Gina Renicker pose la question : The derivative of: y=e(xlnx) and y=x2arctan(x1/2) Harley Weston lui répond. |
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Number sequences |
1999-11-11 |
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Justin Schessler pose la question : I CAN NOT figure out this sequence or how we continue this sequence... 3,2,6,5,15,14,___,___,___ Chris Fisher and Harley Weston lui répond. |
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Linear models |
1999-11-09 |
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Helen Moreno pose la question : What is a linear model? Harley Weston lui répond. |
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Nines and ones |
1999-11-05 |
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Greg Miller pose la question : Using the numbers 1, 1, 9, 9, only once each, how can I create an expression that equals 10 using only the basic functions of addition, subtraction, multiplication, division, and/or parentheses? Claude Tardif lui répond. |
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-log(a) |
1999-10-22 |
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Brenda Miskimmin pose la question : I need to know the mercury concentration in mg/L or ng/L for the following: -log M (Hg) = 8.5 where mw of Hg=200.59 (it's the negative sign in front of log that confuses me). Harley Weston lui répond. |
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|6-2x|<4 |
1999-10-20 |
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Tchilco pose la question : Solve |6-2x|<4 Harley Weston lui répond. |
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Broken line graphs |
1999-10-19 |
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Lori Samara, Kristi Cameron and the 4th grade students pose la question : Students in Ms. Cameron's grade 4 class were wondering if a broken line can be used anywhere in the range on the y - axis when creating a broken line graph? They understand that the broken line can be used at the 0 on the broken line but what if there is a large gap in the data from 100 - 200? What do we do? The text book and mathematics dictionary do not answer these questions. Penny Nom lui répond. |
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(-5)^2, -5^2 and -(5)^2 |
1999-10-13 |
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Jennifer Brown pose la question : What is the difference between the following problems: (-5)2, -52 and -(5)2 Our text book (Beginning Algebra, fourth edition, published by McGraw Hill, by Streeter, Huthison and Hoetzle) says the second and third problem are exactly the same. I don't see how that can be. Is there a mathematical rule that explains this? Penny Nom lui répond. |
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Length of a line |
1999-10-10 |
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Dagmara Sarudi pose la question : My question has to do with the length of a diagonal. This problem came up when I thought about the shortest distance between two points, for example walking from one point to another in my neighborhood. I can choose a zig zag route and assuming the blocks I walk are exactly the same length, it shouldn't matter what route I took, the distance I travel should still be the same when I reached my goal. If, on the other hand I could travel in a diagonal line, the distance would be shorter. But what if, in my zig zag motion, the sections get so small the route approaches a diagonal. Shouldn't it be that each separate section added together equals the value of the two original sides? Or would it suddenly equal the value of the diagonal (which, of course was shorter than the two sides added together)? What gives? Chris Fisher and Harley Weston lui répond. |
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sin x = x/10 |
1999-10-07 |
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Amandeep Grover pose la question : Solve the equation sin x = x/10 Harley Weston lui répond. |
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A googol |
1999-10-06 |
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Kevin Brennan pose la question : describe to me a guegoll is that how u spell it? it sounds like that Penny Nom lui répond. |
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Surface area of a cone |
1999-09-18 |
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Frothy pose la question : I don't understand how to find the surface area of a cone. The height is 12cm and the radius is 5cm. Walter Whiteley lui répond. |
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2 to the x and x squared |
1999-09-17 |
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John pose la question : For what values of x is 2 to the exponent x greater than x squared? Harely Weston lui répond. |
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Is zero positive? |
1999-09-03 |
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Shah pose la question : Is zero a positive integer? Penny Nom lui répond. |
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A double negative |
1999-09-01 |
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Dennis pose la question : If b = -2 what does -b = ? As in (a + 8.5) - [(-b) + |c|] a = 1.5, c = -1.7 Penny Nom lui répond. |
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A Trigonometry Question |
1999-08-28 |
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Diane Simms pose la question : My question is can the following be factored. I am a teacher who needs the factors to this right away. 2 Sin2X + 2 SinX CosX - 1= 0 Harley Weston lui répond. |
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Division by a negative |
1999-08-19 |
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Sangeeta B. pose la question : 56/-8 Penny Nom lui répond. |
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Why is slope designated m? |
1999-08-18 |
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Peter Komlos pose la question : Why is the slope of a line is designated by the letter "m"? Penny Nom lui répond. |
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Parametric Equations |
1999-08-06 |
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Nicholas Lawton pose la question : Show that an equation of the normal to the curve with parametric equations x=ct y=c/t t not equal to 0, at the point (cp, c/p) is : y-c/p=xp^2-cp^3 Harley Weston lui répond. |
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From an airport control tower |
1999-08-04 |
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Pammy pose la question : Hi I am a 30 yo mature age student doing my HSC but am having difficulty understanding this, if you can help me. From an airport control tower, a Cessna bears 023 degrees T and is 27km away. At the same time, a Boeing 767 bears 051 degrees T and is 61km from the tower. Both planes are at the same height. i) What is the size of angle ATB? ii) Using the cosine rule to calculate the distance the planes are apart, to nearest kilometre. I figured out and drew the triangular diagram but can't figure out the rest and which formula to use. sorry about this, thankyou kindly Harley Weston lui répond. |
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Standard Deviation |
1999-07-11 |
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Anthony Fama pose la question : I have seen several answers to this question: If one standard deviation represents 68% of the population, what does two, three, four and five sigma [std deviation] represent? As stated, I have seen several different answers and thus, the impetus for my question. Harley Weston lui répond. |
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Sin 4A |
1999-06-22 |
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Ryan Cochrane pose la question : If sinA = 4/5, and A is a first quadrant angle, find sin4A Harley Weston lui répond. |
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Slopes of curved lines |
1999-06-09 |
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Stephen Ehrler pose la question : When one plots the graphs of y=2x, y=3x, y=xx When each of these graphs pass through point (0,1) do they have the same slope? I know they are different lines but is it possable that they have the same slope at point (0,1). Harley Weston lui répond. |
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Graphing a linear equation |
1999-05-27 |
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Dylan Bradley pose la question : Im in Grade ten and am doing linear equations, I cann't figure out how to make a chart for questions like y = -2x + 3 Penny Nom lui répond. |
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Parallel and perpendicular lines |
1999-04-23 |
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Crystal Pilling pose la question : My name is Crystal Pilling and I am in 9th grade algebra. We are currently studying parallel and perpendicular lines. I am having trouble with this problem: 3/4x - 5y= 16, (5,-6) I have to find a line that is perpindicular to this line on a graph. HELP ME PLEASE!!!!! Penny Nom lui répond. |
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Shopping at Wegman's |
1999-04-22 |
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Stan pose la question : Joanne, Steve, Pat, Alice, Joan, and Bill go to Wegman's at the same time. Joanne buys 2 gal of milk, 1 dozen oranges, 8 apples, and 2 lb. of ground beef, paying a total of $13.24. Steve buys 3 qts. of milk, 5 lbs. of ground beef, 10 lb. of potatoes, and 2 bags of mixed vegetables, paying a total of $16.95. Pat buys 3 gal. of milk, 2 dozen oranges, 1 dozen apples, 5 lb. of potatoes, and 5 bags of mixed vegetables, paying a total of $25.09. .... Find the cost of: 1 qt. of milk, one orange, one apple one lb. of ground beef, one lb. of potatoes, and one bag of mixed vegetables. Penny Nom lui répond. |
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y=mx+b |
1999-04-15 |
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Selena Royle pose la question : When solving a problem on slopes,and in the formula y=mx+b what do the M and B stand for? Why M and B? Penny Nom lui répond. |
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The Binomial Theorem for rational exponents |
1999-04-15 |
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Angela Evans pose la question : The full question is this: Isaac Newton generalized the Binomial Theorem to rational exponents. That is, he derived series of expansions for such expressions as (x+y)-3 (x+y)2/3 (x+y)5/6 What did Newton find? What are the first four terms of the series expansions of binomials above? How can this extended Binomial Thrm. be used to aid in calculations? Penny Nom lui répond. |
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Dividing a Circle |
1999-04-12 |
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Mike Kenedy pose la question : I am having trouble with a homework question for bonus marks. A Circle is continually divided by lines that do not intersect the center so that they produce the most pieces of circle. For example - 1 line divides the circle into 2.
- 2 into 4.
- 3, however into 7.
- 4 into11
- 5 into 16
- 6 into 22
- 7 into 29
- 8 into 37
- etc...
I am stumped and cannot figure out the equation, though I'm sure it involves squares. Can you help? Penny Nom lui répond. |
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Linear programming and optimization |
1999-04-09 |
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Shams pose la question : What is Linear programming and optimization? Jack LeSage and Penny Nom lui répond. |
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Large Numbers |
1999-04-05 |
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CK pose la question : Hello. I need a lesson plan for grades 4 to 7 dealing with the concept of large numbers. Specifically, how to teach scientific notation. The lesson plan has to deal with the following: the size of the universe is so huge that is is almost beyond the ability of the mind to comprehend. One way is to measure... Chris Fisher lui répond. |
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0/11 |
1999-03-09 |
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Jacob pose la question : What is the term applied to 0 divided by a number. In calculating slope problem my answer was 0 divided by 11. I don't know what to do with this answer or how to interpret it. Jack LeSage and Penny Nom lui répond. |
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An airplane problem |
1999-03-08 |
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B.M.R. pose la question : A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed? Jack LeSage lui répond. |
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Reversing the direction of an inequality. |
1999-03-06 |
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Mallory White pose la question : If the Problem was -4a plus -5 is less than or equal to 14, why would you change the sign to greater than or equal to? Jack LeSage and Harley Weston lui répond. |
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Divisibility by 9 |
1999-02-21 |
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Razzi pose la question : I've been having a hard time trying to solve the following problem and I was wondering if you could help me. For any positive integer a let S(a) be the sum of its digits. Prove that a is divisible by 9 if and only if there exist a positive integer b such that S(a)=S(b)=S(a+b). Chris Fisher and Harley Weston lui répond. |
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Four Corners Maths Problem |
1999-02-16 |
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Helen Williams pose la question : I am currently a student teacher in the UK and I have to write a 1000 word report on the following maths problem which I am completely stuck on! PLease HELP!! Choose and 3 by 3 section of the hundred square. Add the total of the four corners. How many different groups of four numbers can you find that add up to that number? eg, Total of 4 corners add up to 48. Adding 2, 13, 22, 11 also make 48 etc.. How many different groups of 4 numbers would add up to 48? How would these results compare with thoses obtained from a 3 by 3 square in which the numbers are consective? eg, PLEASE HELP AS I AM COMPLETELY STUCK? WHY DO ALL THESE DIFFERENT WAYS ADD UP TO THE SAME NUMBER?? Harley Weston lui répond. |
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Non-Euclidean Geometry |
1999-02-10 |
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Robert Smith pose la question : Is non-euclidean geometry necessary for the college bound student? I have students that are inerested in teaching math one day. My school is restricted to Euclidean Geometry. Walter Whiteley and Jack LeSage lui répond. |
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Primary Mathematics |
1999-02-08 |
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Syairul pose la question : Mr Wu earned $2365 in January. He earned $375 more in February than in January. If he spend $4250 in the two months and saved the rest, how much did he save? Jack LeSage lui répond. |
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Lunes |
1999-02-04 |
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Kai G. Gauer pose la question : A prof once told me that a certain type of lune is quadrable given that the diameter is an integer. She used the construction of a right isosceles triangle within a semicircle and later constructed another semicircle on the base of the first semicircle and used area subtraction to show equality to a smaller triangle with quadrable area. What happens when the original inscribed triangle is no longer isosceles? She mentioned something about other lunes also being quadrable; but not all. What are the dimensions of other such lunes? Note: I'm not certain if I still have my hercules account; please simply post on Q&Q. Thanks! Chris Fisher lui répond. |
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Money and Counting |
1999-02-03 |
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Deborah Goodman pose la question : I am looking for ways to tutor my daughter in money counting and handwriting skills. Jack LeSage lui répond. |
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Fitting a Curve |
1999-01-19 |
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Kirk pose la question : Hello my name is Kirk from Scarborough, Ontario. I have been out of a formal education system for thirty years. I program microcontrollers in my spare time. I have built a temperature sensing device ready to go but, thermistors are very non-linear. I do know that there is a way to calculate the input condition of the thermistor and display the correct temperature in degrees C. I am sending a file to show my progression so far. Harley Weston lui répond. |
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Linear Equations |
1999-01-16 |
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Casie Tomney pose la question : My dad and I have been trying to figure, how to solve for x on any of these problems my teacher gives us. The problem is: 2h/3 + 1/2 = 5h/6 - 3/4 Thanks!!!!!!!! Jack LeSage lui répond. |
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Intersection of Planes |
1998-12-03 |
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Lindsay Fear pose la question : My name is Lindsay Fear. I am an OAC student (which is the Ontario equivalent to Grade 12 in most other states and provinces). I am in an Algebra and Geometry course and am currently studying a unit on equations of planes. Our teacher has given us this question that my friend and I have attempted several times, but we are still unable to solve it. My teacher has also suggested using the internet as a resource. The question is: Prove that a necessary condition that the three planes -x + ay + bz = 0 ax - y + cz = 0 bx + cy - z = 0 have a line in common is that a^2 + b^2 + c^2 + 2abc = 1 Walter Whiteley lui répond. |
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-(4)^0 = ? |
1998-12-02 |
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Derek Yau pose la question : I would like to know why any number to the exponent 0 equals to 1 also, I would like you to please answer this question: -(4)^0 = ? I know the answer is 1 but I am confused as to if it is a negative one or a positive one. Jack LeSage and Penny Nom lui répond. |
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Algebra |
1998-11-25 |
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Casey pose la question : yeah my son brought home a math worksheet and he was wondering and me too if u could help him and me out . he has problems like this 4n+9=7n+2= ??? and he has to show work so if u could help us out that would be great Jack LeSage lui répond. |
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Intersection of planes |
1998-11-22 |
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Dave Rasmussen pose la question : I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Co-ordinate Geometry. I have been teaching my students to write equations of planes and lines, - to find the intersection of these and the distance between them. What I am having difficulty finding are good applications of these techniques to "real world" situations. Can anybody help me? Walter Whiteley and Harley Weston lui répond. |
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Linear systems of equations |
1998-11-16 |
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Crystal Girvan pose la question : My name is Crystal Girvan.Im in grade 11. I have a question.We are solving linear systems of equations: comparison method. My questions is. it says a)use the method of comparison to solve this system a=b-1, 3a+ b=3 b) verify your solutin in a I dont understand it. please help Jack LeSage lui répond. |
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What's the next term? |
1998-11-12 |
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Ilia pose la question : What the formula and explonation for formula for next patterns: 1) 1, 4, 10, 20, 35, 56, 84,... 2) 0, 6, 30, 90, 210, 420,... Thanks! Penny Nom lui répond. |
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A Linear System |
1998-10-08 |
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Jason Bussey pose la question : The linear systems with the following pattern all have the same solution. Is their some kind of reasoning as to why this is so? 2x+3y=4 3x+4y=5 4x+5y=6 5x+6y=7 The solution is always x=-1, y=2 Thank you Jason Penny Nom lui répond. |
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Operations Research |
1998-10-08 |
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Lisa Barrett pose la question : What is the history of operations research and the study of linear programming? Judi McDonald lui répond. |
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French Francs |
1998-10-01 |
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Richie Franklin pose la question : 1.what did one dollar equal in France francs ten years ago, twenty years ago, and fifty years ago? Chris Fisher lui répond. |
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Dividing a Class |
1998-10-01 |
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Tom Barker pose la question : My eighth grade niece called with the following homework problem: A teacher wanted to divide her class into equally numbered groups. She tried to divide the class into groups of two, but was one student short. She tried to divide the class into groups of five, but was one student short. She tried to divide the class into groups of seven and was successful. What is the least number of students that were in her class? I know the answer is 49, but don't know how to prove it. I must be getting old if I can't solve eighth grade math problems. Your assistance would be appreciated. Penny Nom lui répond. |
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A Horizontal Line |
1998-09-23 |
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Tess Warer pose la question : Find the equations of a line through (-1,-5) and parallel to the X-axis. Harley Weston lui répond. |
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Concurrent Lines in a Triangle |
1998-08-10 |
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Chris Woolf pose la question : The question is Name four types of concurrent lines, rays, or segments that are associated with triangles. Chris Fisher lui répond. |
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Solving Quadratics |
1998-07-16 |
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Fred Goodrich pose la question : I need a step by step lesson on solving quadratic equations. Thank you, Penny Nom lui répond. |
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15 to the zero |
1998-06-24 |
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Mike Husken pose la question : My daughter has the problem: 15 with an exponent of zero=1. Could you help explain why? I would appreciate an answer soon as she has class tomorrow. thanks, Penny Nom and Patrick Maidorn lui répond. |
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A Logic Problem |
1998-06-07 |
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Anthony Bacigalupo pose la question : My name is Anthony Bacigalupo and I take Sequential ][ Math and am taking a practice regents. When doing a logic problem, I encountered the following statements, where I am trying to prove P ( I left out steps unrelated to the question).... Chris Fisher lui répond. |
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A Place Value Curiosity |
1998-05-25 |
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Ed pose la question : I was visiting with an elderly gentleman this afternoon. He showed me this curiosity and then asked if I could explain it to him. Can you provide an explanation of why the 9 or multiple of 9 keeps occurring in this procedure? Choose any number, say 125 and add the digits to get 8. subtract the 8 from the 125 and the result is 117. Add the digits in 117 to get 9. Subtract the 9 from the 117 to get 108. Add the digits in 108 to get 9. If this procedure continues a 9 or a multiple of 9 reoccurs. What is the mathematical explanation behind this happening? Denis Hanson lui répond. |
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Percentage Question |
1998-05-18 |
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Eddie Knox pose la question : Example: If I have a recipe calling for 16 ounces of 4% vinegar (vinegar which has been diluted with water to a strength of 4%), and all I have on hand is 16 ounces of 5% vinegar, how much water should I add to decrease the strength to 4%, before measuring the 16 ounces to be used. I'll appreciate any insight and help. Thank you so much! Harley Weston lui répond. |
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Graph question |
1998-05-12 |
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Rose Seminary pose la question : Why is the point of intersection of two lines the solution to the corresponding system of equations? Penny Nom lui répond. |
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Multiplying by Nine - Chismbop Style |
1998-04-27 |
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Noria Jones pose la question : About a year ago a grade 5 teacher at my son's school taught the children how to multiply the 9 times table on their fingers quickly. It was part of a kind of finger math kind of thing... Patrick Maidorn lui répond. |
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Seed Problem |
1998-03-26 |
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Jody A. Johnson pose la question : Seed Problem: The height of an amazing plant grown from a seed varies linearly with the time it has been in the ground. After six days it is 6cm tall and after 60 days it is 15.8m (1580 cm) tall. - Write the particular equation giving the height as a function of time.
- Find the intercepts and explain them.
- What would be the height in one year?
- How long would it take for the plant to grow to a height of 1km?
I'm having a problem with this equation. Could you please help. Thank you. Penny Nom lui répond. |
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Y-intercept |
1998-02-27 |
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Don Trumpet pose la question : What is the Y-intercept for the problem:Y = -2(x+2) + 9 Harley Weston lui répond. |
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Pay Phone Problem |
1998-02-26 |
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Shameq pose la question : Hi, I've been given a problem that I'm having some trouble with. I'd really appreciate any help. Here's the question (it's called the Pay Phone Problem) A pay phone will take only 10p, 20p, 50p, and £1 coins"(It's British). A woman has plenty of 10p and 20p coins. She has no other coins. She can put the coins into the pay phone in any order. INVESTIGATE the number of different ways, she could put the 10p and 20p coins into the pay phone. Penny Nom lui répond. |
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Tangrams |
1998-02-24 |
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Allison pose la question : Do you know the story behind the tangram? I know that it is a Chinese puzzle about 200 years old. If there is a story about its creation, I would love to share it with my 7th graders. Thanks. Diane Hanson and Penny Nom lui répond. |
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(50^20)(20^50) |
1998-02-24 |
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fion pose la question : 50 power of 20 X 20 power of 50? How many zero can be found in the answer and why? Penny Nom lui répond. |
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Intersecting Lines. |
1998-02-10 |
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Erik Heppler pose la question : My typewriter frequently makes mistakes. Suppose I gave you the following system of equations to solve: 35.26X + 14.95Y = 28.35 187.3X + 79.43Y = 83.29 When I looked back, I realized that I meant to use 14.96 as the "Y" coefficient in the first equation instead of 14.95. Solving the system using 14.95 and then solving another system using 14.96 with all other values the same both times results in the intersection points (1776, -4186) and (-770, 1816) respectively. How can that be? Penny nom lui répond. |
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Calculating the Intersection Point. |
1997-12-10 |
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Milton Parsons pose la question : Given 2 lines through (x1,y1),(x2,y2),and (x3,y3),(x4,y4). Can you give me a good formula for calculating the intersection point. I would greatly appreciate it.Thanks. Chris Fisher and Penny Nom lui répond. |
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Negative Primes. |
1997-11-10 |
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Leah Zucker and Paul Michael pose la question : I have received the following question via e-mail from my granddaughter: "Can negative numbers (like -7) be prime? If not, why not?" Chris Fisher lui répond. |
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Some Calculus Problems. |
1997-10-30 |
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Roger Hung pose la question :
- What real number exceeds its square by the greatest possible amount?
- The sum of two numbers is k. show that the sum of their squares is at least 1/2 k^2.
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. . Penny Nom lui répond. |
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Diagramming Powers |
1997-10-15 |
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David Fill pose la question : I am a teacher in Massachusettes. We have been diagramming numbers such as two to the third (a 3-D cube). One of my students asked me how you would diagram two to the fourth. I have searched through all of my teachers books and cannot seem to find the answer to this question. Is there a way to diagram this? If there is, how would you do this? Your help would be greatly appreciated. Penny Nom lui répond. |
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How many intersections? |
1997-10-08 |
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James pose la question : (a) A collection of eight points, no three collinear. If lines are drawn between each pair of these points, how many points of intersection would there be? (b) what would your answer have been in part (a) if there had been n points to start with? Chris Fisher lui répond. |
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Cos(x) Cos(2x) Cos(4x)=1/8 |
1997-09-24 |
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Tan Wang pose la question : How many distinct acute angles x are there for which cosx cos2x cos4x=1/8? Chris Fisher Harley Weston and Haragauri Gupta lui répond. |
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A Trigonometric Limit |
1997-09-18 |
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Brian Ray pose la question : What is the limit, as x approaches 0, or tan^23x/x^2? (read, tan squared 3x over...)? Harley Weston lui répond. |
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Two Questions |
1997-08-28 |
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Faye Tan pose la question : I am a trainee teacher. I would appreciate it very much if you could help me solve the following two problems which I think are meant for students at middle grade. 1. If a hen and a half lays an egg and a half in a day and a half, how many hens are needed to lay a dozen eggs in one day? 2. There are fewer than 200 passengers on a train. If they get off in pairs, one passenger will be without a partner. If they get off in groups of 3 or 4, there will still be one passenger left by himself. However, if they get off in groups of 5, no one will be left by themselves. How many passengers are there on the train? Penny Nom lui répond. |
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Finding the Mine |
1997-06-23 |
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Billy Law pose la question : Tom is gold prospector. On his last trip out from town, he headed 35 degree South of West to a lake where he had lunch. The lake was 24 km out of Town. He then headed due East for 35 km before Doubling back on bearing of 15 degree South of west for 20 km to reach his mine. By converting to Cartesian coordinate before doing vector additions do the following: a) Calculate the position of the mine from town in term of a distance and a direction. ... Harley Weston lui répond. |
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A problem with arccos. |
1997-06-09 |
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Vanessa Chan pose la question : Prove: arc cos4/5 + arc cos (-5/13) = arc cos (-56/65) Harley Weston lui répond. |
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The General Equation of a Parabola |
1997-05-28 |
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Michelle pose la question : My name is Michelle and I am a 10th grade student in algebra 2 w/ analysis. I am doing a report on parabolas and I need to know what the general equation is. I've looked in books and keep finding different ones! I also need to know how they can be used in nature. Thank you so much for your time. I really appreciate it! - Michelle Harley Weston lui répond. |
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Formulae for Surface Area. |
1997-04-28 |
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Gary Millward pose la question : I'm trying to help my son with his Math homework (Grade 10) and he has to find the surface area of a cone and rectangluar pyramid. We have the formulas for the volume of these solids, but can't seem to locate the formulas for surface area. Walter Whiteley lui répond. |
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Natural Logarithm Functions |
1997-04-23 |
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Rickson pose la question : The following two questions are some of my son's homework that he is having trouble with......any advice or assistance would be appreciated. (eX)5=1000.............the X and 5 are exponents lnx + ln(x+3) = ln10 In each question the problem is to find x. Harley Weston lui répond. |
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Equation of a line |
1997-04-08 |
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Susan Gregson pose la question : I am a secondary school teacher. My students and I would like to know why the letters m and b are traditionally used to stand for slope and Y-intercept in the standard form of an equation. Was this an arbitrary choice? Who made it? Are the letters from Greek ot Latin words? Harley Weston lui répond. |
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Graphing Inequalities of Conic Sections |
1997-03-24 |
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James Sheldon pose la question : I'm trying to graph Systems of Conic Sections with inequalities, but I'm running into problems on which area to shade: x^2+y^2 is greater than or equal to 16 xy > 4 So I graph these two equations, and then my teacher said to substitute a point into it but I'm still not sure how to do it... Penny Nom lui répond. |
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Ajax, Beverley, Canton and Dilltown |
1997-03-14 |
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S. Johnson pose la question : The following towns are placed on a coordinate system. Ajax at (-x,z), Dilltown at (-10,0), Canton at (0,0) and Beverly at (0,10). The roads from Beverly to Canton and from Canton to Dilltown are perpendiculat to each other and are each 10 miles in length. A car traveling at all times at a constant rate, would take 30 minutes to travel straight from Ajax to Canton, 35 minutes to travel from Ajax to Canton via Beverly, and 40 minutes to travel from Ajax to Canton via Dilltown. What is the constant rate of the car, to the nearest tenth of a mile per hour. Chris Fisher and Harley Weston lui répond. |
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A trig problem |
1996-12-13 |
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S. Johnson pose la question : sin t + cos t = 1/5. Find ALL exact values of cot t, given the original equation. Harley Weston lui répond. |
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Smith, Rodriguez and Jones |
1996-11-07 |
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Rafayel Ambartsumyan pose la question : On a train, Smith, Rodriguez, Jones are the fireman, brakeman, and engineer, but not in that order. Also aboard the train are three businessman who have the same names, a Mr. Smith, a Mr. Rodriguez, and a Mr. Jones. ..... Who is the engineer? Penny Nom lui répond. |
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Height of a Hotel |
1996-11-07 |
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Irene pose la question : "Irene" is to determine the # of floors in a hotel 500 feet up the street. Irene is on the 10th floor of an office building and can measure the angle of elevation to the top of the hotel, 57 degrees. Her view of the entire building is obstructed. If the street rises at an angle of 8 degrees from the office building to the hotel and the average distance between floors is 11 feet, how many floors are on the hotel? Penny Nom lui répond. |
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Could you tell me the name for the bar in a division problem? |
1996-10-21 |
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Linda pose la question : Could you tell me the name for the bar in a division problem. Not the line with dots on either side but the line that divides the two numbers? My name is Linda. I am asking for my niece who is in 8th grade. Chris Fisher lui répond. |
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How do you raise a number to an imaginary/complex power? |
1996-07-03 |
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Andy Golden pose la question : How do you raise a number to an imaginary/complex power? I know how you raise "e" to a complex power, like e^(pi*i): cos pi + i * sin pi But what about numbers other than "e"? What if I want to raise 5 to the 2i power? How is that done? Chris Fisher lui répond. |
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a to the power zero |
1996-06-03 |
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Beti pose la question : Why is a number to the power 0 equal to 1? Harley Weston lui répond. |
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Prove that these two lines are parallel. |
1996-05-29 |
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Adam Piekarzewski pose la question : Using parallel line theorems and side angle side etc. in triangle acd a line is drawn from point b on ac and point i on ad. another triangle fliped vertically and joined at d is named fdh, a line is drawn from point e on fd and point g on fh. ab = fg, ai = fe, ac || fh prove that bi || eg /- -/ Harley Weston lui répond. |
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How do you graph these inequalities? |
1996-05-17 |
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Robert pose la question : How do you graph the inequalities 5+gg, and g+h>6 on one coordinate plane? Harley Weston and Maxine Stinka lui répond. |
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Cardano's method |
1996-03-11 |
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Mike Gorski pose la question : What is Cardano's method for finding the roots of a cubic equation? Harley Weston lui répond. |
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A trig identity |
1996-03-11 |
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Azmat Hussain pose la question : Is there an easier/another way to prove the trig identity cos(a+b) = cos(a)cos(b)-sin(a)sin(b)? Penny Nom lui répond. |
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Exponents |
1996-02-25 |
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Eric Cote pose la question : I want to know why the grade six math books tell you that the little number at the top right of another number (exponent) is called the power, but the grade seven and up books tell you it's called the exponent? Harley Weston lui répond. |
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Neighbourhoods |
1996-02-14 |
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Robert pose la question : What are neighbourhoods? Harley Weston lui répond. |
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(-3)x(-2) |
1995-10-25 |
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Azmat pose la question : Why is (-3)x(-2) = 6? Herley Weston and Ed Giesbrecht lui répond. |
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