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Les dérivées partielles 2012-05-16
Haddouche pose la question :
Bonjour,
Je vous demande de bien vouloir m'éclaircir comment on calcule les dérivées partielles généralement étudiées dans les modèles de la concurrence fiscale à titre d'exemple celui de Wildasin ""NASH EQUILIBRIA IN MODELS OF TAX COMPETITION "", dont j'ai essayé toutes les méthodes et aucune d'elle n'est arrivée à trouver le résultat des dérivées de ce dérnier papier, à cet effet, je vous serais reconnaissant de m'éclaicir la méthode afin de résoudre ce problème qui pour moi un vrai mistère à percer. Je vous remercie infiniment à l'avance. Et comptant sur votre compréhension, mes salutations les meilleures. HA

Claude Tardif lui répond.
le prix de départ 2006-09-10
un élève pose la question :
Une jupe coûte 36 euros après une démarque de 20% quel est le prix de départ moi j'ai trouvé 45 euros mais je n'ai pas la formule de calcul exacte
Claude Tardif lui répond.
Partages inégaux 2005-09-29
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.
Marie achète un croissant et une tartelette 2004-02-01
M. et Mme Simoneton pose la question :
Marie achète un croissant et une tartelette. Elle paie 1,64 €
Isabelle achète un croissant et un pain au chocolat. Elle paie 1,51 €
Marc achète un poain au chocolat et une tartelette. Elle paie 1,77 €
Trouver le prix d'un croissant, d'une tartelette et d'un pain au chocolat.

Claude Tardif lui répond.
l'équation d'une rotation dans un graphique cartésien 2001-11-14
Ghaith pose la question :
je d6sir que vous me rafraichissez un peu la mémoire s.v.p. j'aimerai savoir l'équation d'une rotation dans un graphique cartésien merci
Claude Tardif lui répond.
Point de partage 2000-02-21
Sebastian Murciano pose la question :
J'aurais besoin de savoir où je peux trouver de l'informations, ou est-ce que vous pouvez me donner de l'information sur : Point de partage d'un segment étudié en Secondaire 4.
Claude Tardif lui répond.
Derivées partielle 1999-10-19
Arnaud Flandin pose la question :
Quel est la definition des derivées partielle
Claude Tardif lui répond.
Renting an electric cart 2017-01-07
Desiree pose la question :
Vacation Rentals rents electric carts for travel on their grounds. The economy plan rents carts for $26 per day and the premium plan rents a carts for $12 per day plus a one time fee of $126.05
For how many whole days would it be cheaper to rent from the economy plan then from the premium plan?

Penny Nom lui répond.
A pie chart 2016-12-05
vickie pose la question :
Determine the central angle needed to form a pie chart for the following housing characteristic data: 63% owner occupied, 27% renter occupied, and 10% vacant
Penny Nom lui répond.
A road trip word problem 2016-04-10
Marc pose la question :
While on a road trip I imagined this random word problem. Suppose I start a trip of 75 miles. My initial speed is 75 miles per hour. After every mile traveled I decrease my speed by one mile per hour. After the first mile I decrease my speed to 74 miles per hour and so on for each subsequent mile traveled. How long will it take to complete the 75 mile journey?
Penny Nom lui répond.
Compressed Earth blocks 2016-03-02
John pose la question :
how many 14"x10"x4" blocks do I need for a 1300sq foot house 8 foot high
Penny Nom lui répond.
10800 sq. ft equal approx what part of an acre? 2016-02-27
David pose la question :
10800 sq. ft equal approx what part of an acre
Penny Nom lui répond.
Prove the earth is round 2016-01-30
Kevin pose la question :
Working on a project for a science fair.
To prove the earth is round without the ability to get way above the surface.
How could we set up and experiment to see the curve.
My thought is using a telescope at the beach?
Form what we see so far the curve is 8 inches per mile?
So thought is set up a telescope and a target 1 mile away?

Robert Dawson and Chris Fisher lui répond.
The perimeter of a one quarter acre square 2016-01-15
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.
How much does the Earth curve over a one foot distance? 2015-11-24
Sean pose la question :
Hi, I am trying to figure out how much the earth curves over a one foot distance. I'd like to be able to draw the exact arc on a piece of paper. I am an artist and am looking to make glass vessels with the exact curvature of the earth. I read on your site that it curves approximately 8 inches per mile. can I just use simple ratios to break it down into inches?? Thank you so much for your help.
Harley Weston lui répond.
Partitions into distinct parts 2015-09-19
Brian pose la question :
Looking for a formula where I can type in a number, 17 for example, and using the numbers 1 through 17 (1, 2, 3, 4 etc....), to come up with all possible combinations, when added, that will equal 17. And each number can only be used once. I've tried a few search engines but my computer stares at me blankly and scratches its head :-/.
Chris Fisher lui répond.
The perimeter of a quarter circle 2015-05-21
Bethany pose la question :
The perimeter of a quarter circle is 3.57. What is the quarter circle's radius?
Penny Nom lui répond.
The perimeter of a quarter circle 2015-04-10
Riley pose la question :
How do you find the perimeter of a quarter circle when the radius is 56?
Penny Nom lui répond.
Curvature of the Earth 2014-12-29
Jimmy pose la question :
Both batteries died in my scientific calculator and I have lost my formula for the heigth of the curvature of the earth between two points on the surface. I used degrees and miles. I only had to enter the distance between the two points on the surface and the formula gave me the hieght the earth raised between the two points.
Robert Dawson lui répond.
The perimeter of a quarter circle 2014-12-26
Maisy pose la question :
This is the question that I got for a math worksheet.
The radius of a quarter circle is 5 miles. What is the quarter circle's perimeter?
Use 3.14 for pi.

Penny Nom lui répond.
An arc subtended at the center of the Earth 2014-07-20
Abhinav pose la question :
Meerut is 60 km from Delhi. Find the nearest second the angle subtended at the center of the earth by the arc joining these two points,earth being regarded as a sphere of 5940 km radius.
Penny Nom lui répond.
Quarters 2014-07-04
kamal pose la question :
how many quarters in the sum of 8 and 12 ?
Penny Nom lui répond.
A triangle on the surface of the Earth 2014-06-26
Christine pose la question :
A, B and C are three towns, the bearing of B and C from A being 310 degrees and 220 degrees, and their distances from A are 510km and 700km respectively. Find the bearing of B from C to the nearest minute.
Robert Dawson lui répond.
A model of the sun and the Earth 2014-06-14
Lynn pose la question :
There is a model of the sun that is 2 1/2 inches in diameter. This is the only clue we have! How far away is the earth from this model?
Penny Nom lui répond.
Curvature of the Earth 2014-03-28
Max pose la question :

Recently I read the answer to a question proposed by someone on this site.

The question : What is the rate of curvature per mile on Earth?
The answer given : Use Pythagoras' Theorem to solve for the answer, given a 1 mile side
and a side as the radius. The hypotenuse minus the radius is your answer of drop/mile or curve/mile.

My conjecture : Why go through all of that work if the distance is one? Something like
{1/diameter} would would fine for such a problem. Seems like a lot of work for no reason.

I understand the practical application of Pythagoras' Theorem in this certain situation, as you would need
to use a^2+b^2=c^2 for any distance greater than one [mile]..
It just seems excessive and unnecessary if you're solving for curve / one mile.


Robert Dawson lui répond.
A cable around the Earth 2014-03-13
fikile pose la question :
By how much must an equatorial cable be extended in order that it runs 1meter above the ground?
Penny Nom lui répond.
Three investment partners sharing the profit 2014-02-22
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.
If the earth was made of a ball of string 2013-09-18
Tammy pose la question :
My 9 year old son asked me a question and I have no idea how to work it out! Please can you help?

If the earth was made of a ball of string and you unravelled the string how long would it be? Assuming the string is 5mm thick.

Penny Nom lui répond.
Restricted partitions 2013-03-25
vidya pose la question :
I am having a series of numbers eg.( 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) I can take any 5 digits eg(15,10,8,6,5) and it should not repeat and the summation should be any predefined static value . eg(44) That is (15+10+8+6+5=44) . How many summation series will result 44 ? My problem is how to find this using a formula or any other simpler automation method is there instead of checking one by one all the combinations. Plz do help me... Thnks in advance
Chris Fisher lui répond.
Cumulative Frequency Math Question 2013-03-20
Primadonna pose la question :

Hi,

Please help me solve this question.

Thank you so much.

The cumulative frequency table below shows the length of time that 30 students spent text messaging on a weekend.

Minutes Used Cumulative Frequency
31-40 2
31-50 5
31-60 10
31-70 19
31-80 30

Which 10-minute interval contains the first quartile?

(1) 31–40

(2) 41–50

(3) 51–60

(4) 61–70


Penny Nom lui répond.
Row echelon form 2013-03-15
Shawn pose la question :
Please help me put matrix in row echelon form:

1 9 8 0
5 8 1 35
1 -4 -1 17

Penny Nom lui répond.
A chart for y=mx+b 2013-03-11
jacinda pose la question :
how to make a chart for y=mx+b
Penny Nom lui répond.
The zeros of a fourth degree polynomial 2013-01-23
Dakota pose la question :
My problem has multiple steps and I have done everything but the last one. 8The original problem is f(x)=x^4-5x^3+7x^2+3x-10 and I have to find the zeros of the equation. I used synthetic substitution like my teacher taught us to get the equation of x^3-3x^2+x+5=0 but now I don't know how to get the zeros of that equation, or solve it.
Penny Nom lui répond.
A bipartite graph 2012-10-29
A student pose la question :
Suppose that G be a bipartite graph with maximum degree of k.

Prove that:

1)Exists a K-regular bipartite graph that G be subgraph it(H)

Claude Tardif lui répond.
A tank with an inner walled compartment 2012-10-12
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.
Points per quarter 2012-05-14
debbie pose la question :
A basketball team scores 216 points in 8 quarters . Find the teams point per quarters rate
Penny Nom lui répond.
A pie chart 2012-05-01
muhammad pose la question :
How can i construct a pie chart on the following of the combunation of students:- Sos 50, Crs 25, Eng 100, Iss 75, Geo 150, Hist 10
Penny Nom lui répond.
A circle inscribed in a quarter circle 2012-02-20
sonam pose la question :
ABC is a quarter circle and a circle is inscribed in it and if AB=1cm than find radius of a small circle.
Penny Nom lui répond.
The curvature of the earth 2012-02-08
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.
A quartic polynomial that is a perfect square 2012-02-05
archit pose la question :
If P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then (a+b)=?
Penny Nom lui répond.
Two shapes 2012-01-06
muhammad pose la question :
Question from muhammad, a student:

a boy has two pieces of wire each 99cm long .he bends them into the shapes shown below.calculate the radius of each figure,giving each answer to two decimal places.figures are one is semicircle and other on is half of the semicircle.

Harley Weston lui répond.
The perimeter of a quarter circle 2011-11-10
sierra pose la question :
how do you figure the perimeter of a quarter circle that has a radius of 12
Penny Nom lui répond.
Decartes' circle theorem 2011-09-07
Joseph pose la question :
Given 3 circles of diameters 50, 55, and 60 units, Place them externally tangent. What is the diameter of the outer circumscribing circle, tangent to all 3 circles? I can attach a pdf if this description is not clear. Not urgent, this has nothing to do with current assignments, just wondering if I have developed the best methods?
Chris Fisher lui répond.
A tangent to the earth 2011-09-03
Vickram pose la question :
I have a math problem regarding tangent and circle. My example is as follows: if a long flat ruler measuring 1500 miles is placed on top of earth which has a radius of 3960 miles what part (length) of the tangential ruler will actually be touching the earth and what two parts will not?
Chris Fisher lui répond.
Identify each polynomial by its degree and number of terms 2011-01-10
betty pose la question :
Write in standard form and identify each polynomial by its degree and number of terms. How do you do this?
Penny Nom lui répond.
The perimeter of a quarter circle 2010-12-15
kim pose la question :
how do you figure the perimeter of a quarter circle that has a radius of 7 inches? I would like to have the explanation of how you figure it out. Thank you
Penny Nom lui répond.
The angles in an m-gon and genrealizations 2010-10-16
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.
Area on a dart board 2010-10-11
Robert pose la question :
A dart board consists of concentric circles and line segment. the radius of the bull's eye is 4 inches and each ring surrounding the bull's eye is 3 inches wide.
a) what is the area of the bull's eye
b) what percent is the bull's eye.

hint there are 4 rings and the bull's eye is divided into 4 (90) degree angles (meaning 1/2 up and down) (1/2 left to right.

Stephen La Rocque lui répond.
Factoring cubics and quartics 2010-09-29
Tori pose la question :
How do you factor these types of questions:

* x^3 - 4x^2 - x + 4
*2x^3 - 3x^2 - 4x - 6
*x^4 - 15x^2 - 16

Robert Dawson lui répond.
The volume of earth to be moved 2010-07-29
Michael pose la question :
Volume of earth moved @ 500' across, 1 to 3 degree slope, 30' deep X 50' across at the bottom.
Stephen La Rocque and Harley Weston lui répond.
Curvature of the Earth 2010-05-29
grant pose la question :
if you have 2 plumb structures 10ft. tall, how far apart will they be when they are 1 inch out of parallel at the top
Tyler Wood lui répond.
A quartic equation 2010-05-18
Austin pose la question :
Z^4-10z^2=-9
Penny Nom lui répond.
Line of sight 2010-05-06
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.
If a third is a fourth of a number, what is the number? 2010-04-08
larry pose la question :
If a third is a fourth of a number, what is the number?
Penny Nom lui répond.
If the earth were covered completely with water 2010-02-25
don pose la question :
If the earth were covered completely with water (over Everest) how many gallons would it be??
Penny Nom lui répond.
Everything in a cube 2 miles long? 2010-01-31
Naresh pose la question :
in a book, i got to read this :

Is it possible to pack the entire population of earth and everything that was created by humankind in a cube whose edges are 2 miles long ?

Is it possible? Thanks.

Stephen La Rocque lui répond.
Matt has 40 coins 2009-11-18
Amy pose la question :
Matt has 40 coins(nickels, dimes, and quarters). The total amount is $4.05. He has 7 more nickels than dimes. How many quarters does he have?
Penny Nom lui répond.
The integral of sqrt(x) * ln(x) 2009-10-12
Oana pose la question :
Hi! Can you tell me please how much is : ∫ (√x * ln x) ?
Penny Nom lui répond.
Dart teams 2009-09-18
Sally pose la question :
I have 14 dart teams. Each team has a home bar.Usually it is one week home, the next week away. I have 3 locations that have one board only, yet have 2 teams at each location. I have one location that has 2 dart boards, and 3 teams. The last location have 3 dart boards and 4 teams.Can you make me a schedule that will be home and away, and every teams plays each other twice. In case you are wondering, the bars sponsor the teams.Thank you. Sally
Robert Dawson lui répond.
Helen has twice as many dimes as nickles. 2009-09-08
Dan pose la question :
Helen has twice as many dimes as nickles. She has 5 more quarters than nickles. She has $4.75. How many nickles does she have? I know she has 14 dimes, 7 nickles and 12 quarters. How do you put this into an algebra equation?
Stephen La Rocque lui répond.
Nickels, dimes and quarters 2009-09-02
danielle pose la question :
In changing a $5 bill, Sarah received nine more dimes than nickles and seven fewer quarters than dimes. How many coins of each type did she receive?
Penny Nom lui répond.
Fourth and fifth degree polynomials 2009-08-20
Evin pose la question :
hello.i am a student . ax^4+bx^3+cx^2+dx+e=0 x=? i want to learn the solution or formula of equations of the fourth and fifth degree...PLEASE
Robert Dawson lui répond.
Nickels, dimes and quarters 2009-05-25
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.
The sum of the roots of a quartic 2009-04-21
dave pose la question :
This is a algebra problem that i am confused about: The sum of the roots of x^4-x^3+5x^2+4=0 is: i tried graphing it, but it shows that there are no roots, but the answer is 1. are they wrong?
Penny Nom lui répond.
Fractional part 2009-04-01
Galina pose la question :
What fractional part of eight is eight hundredths
Stephen La Rocque lui répond.
Partial derivatives 2009-01-17
Meghan pose la question :
I have a question I've been working at for a while with maxima/minima of partial derivatives.

"Postal rules require that the length + girth of a package (dimensions x, y, l) cannot exceed 84 inches in order to be mailed. Find the dimensions of the rectangular package of greatest volume that can be mailed. (84 = length + girth = l + 2x + 2y)"

Harley Weston lui répond.
(a x b) intersect (b x a) 2009-01-08
sean pose la question :
is it possible to have two sets such that n((a X b) intersect (b X a) =3
Harley Weston lui répond.
The sum of the roots of a quartic 2009-01-03
peter pose la question :
How do you find the roots of an equation without graphing? like, i have a problem that says what is the sum of the roots of x^4-x^3+5x^2+4=0.
Harley Weston lui répond.
Partial variation 2008-11-03
Diamond pose la question :
what are the 2 parts of partial variation?
Penny Nom lui répond.
Nickels, dimes and quarters 2008-10-27
val pose la question :
I would like help working out a math word problem. A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There are twice as many dimes as nickels. How many quarters. Could you teach me how to find this formula?
Penny Nom lui répond.
Integration 2008-10-17
hazela pose la question :
integration of

x sinx cosnx

Harley Weston lui répond.
Art and Integers 2008-09-17
pamela pose la question :
how do artists use integers?
Janice Cotcher lui répond.
Cubic yards and quarts 2008-09-16
Mary pose la question :
I need 2 yards of soil, how many quarts is this?
Penny Nom lui répond.
A string around the world 2008-08-18
Terry pose la question :
I heard this on T.V. and was wondering if it was true. Place a string around the world, you would need 25,000 miles of string. If you raised the string off of the ground by 1 foot all the way around. How much more string would you need?
Penny Nom lui répond.
The weight of a cubic yard of dirt 2008-07-21
Robert pose la question :
I need to know how many pounds of dirt is in a cubic yard
Penny Nom lui répond.
How far away is the horizon? 2008-06-13
Ali pose la question :
A plane is 10km above the earths surface, and you want to know how far away the horizon is, you know that the radius of the earth is about 6400km, how far away is the horizon along the earth's curved surface. My teacher has drawn a diagram; a circle representing the earth with one vertex at the center of the earth, another vertex outside the cirlce representing the plane (the distance between the earth and plane is 10km) and the last one is on the circle representing the horizon. Could you please explain how I would solve this problem, thanks!
Penny Nom lui répond.
Throwing a ball on the moon 2008-05-21
leria pose la question :
equation for motion of moon is h=2.67t^2 + vt + s equation for earth h=-16t + vt + s

Suppose you are on an outpost on the moon and Jan is back on Earth. Both people toss a ball from a height of 96 feet with an initial velocity of 16 feet per second. How much longer will your ball stay in motion on the moon than Jan's on the earth?

Math Central,

I'm having a difficult time understanding which numbers to plug into the formula.

Stephen La Rocque lui répond.
The wedges in a circle graph 2008-05-18
Libby pose la question :
I don't understand how to do this word problem: The cafeteria workers distributed a survey to the student body asking students to pick 1 from a list of 5 choices for their favorite lunch. The circle graph below gives the results of the survey for the students who responded. What is the measure, in degrees, of the central angle for each choice?

And there is a pie chart that has food choices with these percentages: 25%, 20%, 15%, 10%, and 30%

Leeanne Boehm and Penny Nom lui répond.
Distance seen 2008-03-18
Nev pose la question :
formule: Distance Seen
S = 1.225 x square root of H
S = Distance seen in Miles
H = Height in Feet


What dose 1.225 Relate To ?

Stephen La Rocque lui répond.
Integration by parts 2008-01-30
seth pose la question :
hi i really dont understand integr ation by parts. for example, the integral(t^2sintdt. i have u=t^2 and v'=sint also u'=t^/3 v=-cost for the formula i have uv-integralvu' dx this is all well and good but i cant get it right.
Harley Weston lui répond.
A large concrete shape 2008-01-16
Keith pose la question :
what is the cubic yards of an area that is not a perfect 1/4 circle? The dimensions are 100ft. x 60ft. x 125ft. curcumferal arch x 3ft. depth?
Stephen La Rocque lui répond.
Partial fractions 2008-01-06
taiwo pose la question :
i copied the question below from john bird's higher engineering mathematics fourth edition (pg 19) after solving all the partial fraction questions from the book except this:

x^3 + 4^2 + 20x - 7 over (x-1)^2 (x^+8). i will appreciate it if you help me out so i can know whether their answer is correct. thanks alot

Harley Weston lui répond.
Partitioning a clock face 2007-12-19
Kim pose la question :
Using a clock with a regular circular faced dial, draw two straight lines such that the sum of the numbers in each of the three areas is equal.
The team at Math Central lui répond.
Pictographs 2007-12-11
eniyah pose la question :
The title of my pictograph is Favorite pets. I have two columns. in my first column is the kind of pet and the second column is the numbers of students, the dogs have 16 student that like them and cats have ten students the likes them. each pictures equals 2 stodents my question is. i have to draw paictures to show the number of students for each row. the key says each symbol equals 2 students. since 16 divided by 2 is 8 can you show me how to make this in a graph
Stephen La Rocque lui répond.
Dividing a circle 2007-11-23
matt pose la question :
hi. can you please send me a diagram of how to draw 3 lines in a circle to get 8 sections.
Stephen La Rocque lui répond.
Motion along a line 2007-10-02
Claudette pose la question :
If the position function of a particle is x(t) = sin^2(2t), find the distance that the particle travels from t = 0 to t = 2
Harley Weston lui répond.
Three circles 2007-09-29
Kevin pose la question :
3 given circles of R80, R56 & R24 are all in contact. The 2 smaller ones are inscribed in the big one. Find by calculation or graphically (both if possible) the radiusof a 3rd circle which will be in contact with all 3 given circles.
Chris Fisher lui répond.
A place value chart 2007-09-12
glenwood pose la question :
draw a million chart then place the following numbers in the proper place. one hundred and nine million, seven hundred and twenty-three
Penny Nom lui répond.
A problem concerning the medians of a triangle 2007-08-01
leeja pose la question :
In a triangle ABC the sides BC and AC are given. It is also known that the medians to these sides are perpendicular to each other. Calculate the length of AB in terms of the other two given sides.
Chris Fisher lui répond.
Simplifying a quartic rational expression using long division 2007-06-14
Megan pose la question :
x+2/12x^4+17x^3+0x^2+8x-40=
Stephen La Rocque and Penny Nom lui répond.
Who was the mathematician that united algebra and geometry? 2007-05-08
Victor pose la question :
who was the mathematician that united algebra and geometry
Penny Nom lui répond.
How many yards of soil is 55 quarts? 2007-03-20
Claudette pose la question :
Costco sells bags of dirt in the quantity "55 quarts".. This makes no sense to me. How many yards of soil is 55 quarts? Thanks!
Stephen La Rocque lui répond.
Nickels, dimes and quarters 2007-03-18
Alexandra pose la question :
Ellen has two more nickels than dimes and three more quarters than nickels. She has $3.35 in all. How many coins of each type does she have?
Penny Nom lui répond.
Nickels, dimes and quarters 2007-02-05
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.
Integration 2007-02-02
Jenna pose la question :
How do I integrate ( ln(x) ) / ( x^2 ) ?
Penny Nom and Claude Tardif lui répond.
Upper Quartiles 2007-01-26
Jamie pose la question :
I see you have a question about Q3 with even numbers but what about odd numbers? I have a problem with 19 numbers 36,45,49,53,55,56,59,61,62,65,67,70,75,81,82,86,89,94,99. Is there anyway the answer could be 81.5 because every time I do it I get 82 and my teacher tells me that is wrong. So in conclusion how do you do it?
Penny Nom lui répond.
Word problem 2006-10-22
Sabrina pose la question :
Thomas bought a badminton racquet and paid for it in quarters. If Thomas had used nickels and dimes, he would have needed 20 more dimes than quarters and one more than twice as many nickels as quarters. How much much did the badminton racquet cost?
Stephen La Rocque lui répond.
Plotting co-ordinates on a number plane 2006-09-08
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.
Designing a garage 2006-06-08
A builder pose la question :
I'm currently designing a garage and came upon this interesting math problem. I've tried using various methods to solve it but have so far been unsuccessful. I've included a picture as its far easier to show you my question than explain it verbally. I realize it could be done by trial and error but i'm looking for a real solution.
Stephen La Rocque and Penny Nom lui répond.
The distance to the moon from earth 2006-05-19
Maira pose la question :
Using trigonometric functions first, show how to find the distance to the moon from earth and then find the radius of the moon.
Stephen La Rocque lui répond.
A triangle problem 2006-05-18
Jim pose la question :
Right angle triangle with a hypotenuse of 20 units. Square inside the triangle with sides of 4 units, the square shares two sides with both legs of the triangle, and the corner touches the hypotenuse limiting the triangles size.
Penny Nom lui répond.
Can one divide a circle into 4.5 parts 2006-03-30
Chris pose la question :
If it is possible, can one divide a circle into say, 4.5 parts (with 4 equal parts and a half part)?
Or for that matter, for any integer, n, into n/2 parts as above?]

Walter Whiteley lui répond.
How far from Earth is Neptune? 2006-03-21
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.
Quarts, liters cubic yards and soil 2006-03-19
Kathy pose la question :
I am trying to find out how many quarts of dirt there are in a yard of dirt. The local flower store sells bags of dirt that are 20 quarts or 22 liters for $1.25 and another store sells a yard of dirt for $25.00. Which is the better deal?
Penny Nom lui répond.
What names are known for the quarter circle shape? 2006-03-06
Christina pose la question :
What names are known for the quarter circle shape?
Stephen La Rocque and Penny Nom lui répond.
Outliers in a box and whisker plot 2006-02-19
A student pose la question :
i need help on determining if their is an outlier...i know how to find the median and the lower quartile and the upper quartile..but i don't understand about the outliers....please tell me if their is an outlier in this problem....the numbers are...63,88,89,89,95,98,99,99,100,100
Penny Nom lui répond.
Polar to Cartesian coordinates 2006-01-15
Linden pose la question :
How do you convert six units at 30 degrees Polar Coordinate into a Cartesian Coordinate?
Penny Nom lui répond.
A sheet metal cone 2005-12-05
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.
Factoring quartics 2005-11-13
Kyle pose la question :
How do I factor y4 + y2 +1?? I think the answer is (y2 + y + 1)(y2 - y + 1), but I'm not sure how to get that...
Chris Fisher lui répond.
The volume of the earth in gallons 2005-08-18
Daniel pose la question :
I would like to know how to find the volume of the Earth in gallons.
Penny Nom lui répond.
Proof by induction? 2005-08-10
Peter pose la question :

I am a lecturer and am having a problem with the following Proof by
Induction.

If

(N x N x N x N) + (4 x N x N x N) + (3 x N x N) + (N) = -4000

Prove that N is even!


Chris Fisher and Penny Nom lui répond.
Difference in latitude 2005-04-05
Gretel pose la question :
Assuming the the earth is a sphere of radius 6378 kilometers, what is the difference in latitude of two cities, one of which is 400 kilometers due north of the other? 500 kilometers?
Penny Nom lui répond.
21yd 2ft divided by 5=what? 2005-03-10
A student pose la question :
1gallon 3qt divided by 6= what?
21yd 2ft divided by 5=what?

Penny Nom lui répond.
Perfecting an ideal gambling system 2005-03-06
Gaz pose la question :
I am a screenwriter, currently in the fortunate position of having the development of a Screenplay funded by the South Australian Film Corporation. The (anti)hero of this screenplay is a statistician whose life is falling apart around him, thanks in part to his obsession with perfecting an "ideal" gambling system.
Andrei Volodin lui répond.
Stewart's Theorem 2005-01-17
Amy pose la question :
In triangle ABC, AB=4, AC=6 and AD=5, where D is the midpoint of BC. Determine BC.
Chris Fisher lui répond.
Converting coordinates 2004-10-25
Allen pose la question :
I am trying to help my son with his home, but I don't remember these conversions. Please help.

1. Convert the following coordinates Cartesian x = 7, y = -24

2. Convert the following coordinates Polar r = 4, theta = pi / 3

Penny Nom lui répond.
A partial derivative 2004-03-19
Penny Nom pose la question :
Is it possible to differentiate the following equation, if so could you please explain.

S=SQRT(T-(5/X^2))

I would like the derivative of S with respect to X.

Harley Weston lui répond.
How far can you see? 2003-12-15
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.
The volume of an earthen pit 2003-09-12
Bruce pose la question :
This shape would occur at the four corners of a rectangular shaped earthen pit with sloping sides (1:1.5). Depth is 14'. Top dimensions are 170' by 158'. After calculating the easy volume components of this shape, we are left with the end corner pieces. 21' base, 14' height, side hypotenuse 25.24' and corner diagonal 32.83'. We're confused. Thank you for any help you may provide.
Penny Nom lui répond.
Integrating e^x sin(x) 2003-05-03
Lech pose la question :
I am having trouble integrating the following expression by parts:

ex sin(x)

I used the integrator at http://www.integrals.com/ to find the solution,

? 1/2 ex cos(x) + 1/2 ex sin(x).

This is easy to confirm by differentiation, however I am confounded as how to arrive at the answer.


Penny Nom and Claude Tardif lui répond.
Hidden by the curvature of the Earth 2003-04-23
Shirley pose la question :
There are 2 six foot men. What would the distance be between them before one could not be seen because of the curvature of the earth?
Penny Nom lui répond.
Two intersecting graphs 2003-04-23
Patty pose la question :

a) graph the equation

x2 - y - 4 = 0

x2 + y2 = 9
on the same set of coordinate axes.

I did not have a problem with this.

The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places.


Penny Nom lui répond.
Wrap a rope around the equator 2003-02-12
Ali pose la question :
If you take a rope and wrap it around the equator and then overlap it 6ft. and cut off the extra then you loosen it up so the ends meet how far would it stand off the ground?
Penny Nom lui répond.
A penny, a nickel, a dime, a quarter, and a loonie 2003-01-21
Blaine pose la question :
I have 5 coins: a penny, a nickel, a dime, a quarter, and a loonie. How many different amounts of money could I pay using any combination of these coins?
Penny Nom lui répond.
Two problems 2002-10-14
Eva pose la question :

a) How many different equivalence relations can be defined on the set X={a,b,c,d}?

b)Show that 6 divides the product of any 3 consecutive integers. I know it is true that 6 divides the product of any 3 consecutive integers. However, i have problem showing the proof.


Leeanne Boehm and Penny Nom lui répond.
The entire earths' population would fit in the state of Texas 2002-09-18
Roz pose la question :
I have been told that the entire earths' population would fit in the state of Texas and each person would have 1/2 acre. Is this true.
Chris Fisher lui répond.
Ratios and weights on Neptune 2002-06-03
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.
Nickles, dimes, quarters and fifty cent pieces 2002-01-08
A parent pose la question :
The total for all coins counted is $4,564.50 The last coin added to the pile is a 50 cent piece There are 8 times as many 50 cent pieces as there are quarters There are 6 times as many dimes as nickles How many of each are there?
Penny Nom lui répond.
2/3 vs 3/4 2002-01-02
Julia pose la question :
So, here's my question. Some of the problems they've had to do starts off with two fractions, and they have to tell whether the two fractions are:
  1. The first one is greater than the second one
  2. The first one is less than the second one, or
  3. They are equal.

One day my son had the problem of 2/3 vs 3/4. Without drawing out a pie chart, how in the world can a child "eyeball" a problem like this and tell what the correct answer is? I've also tried to teach about making common denominators, but that's going over his head at this point.


Denis Hanson and Harley Weston lui répond.
Box and Whisker plots 2001-11-19
Rod pose la question :
In our Prealgebra course, we have been studying Box and Whisker plots. Recently, we learned how to decide whether a data point is an outlier or not. The book (Math Thematics, McDougall Littell) gave a process by which we find the interquartile range, then multiply by 1.5. We add this number to the upper quartile, and any points above this are considered to be outliers. We also subtract the number from the lower quartile for the same effect.

My question: where does this 1.5 originate? Is this the standard for locating outliers, or can we choose any number (that seems reasonable, like 2 or 1.8 for example) to multiply with the Interquartile range? If it is a standard, were outliers simply defined via this process, or did statisticians use empirical evidence to suggest that 1.5 is somehow optimal for deciding whether data points are valid or not?


Penny Nom lui répond.
A 3 dimensional 5 pointed star 2001-11-08
Kent pose la question :
I am looking for a formula that will give me a layout for a 3 dimensional 5 pointed star. I want to form it out of sheet metal, using 5 polygons and soldering them at the apex. Can you please help me with this? I would like to be able to give the formula the height of the star from the bottom two points to the top point and also how deep the star is. Thank you very much!
Judi McDonald lui répond.
Dividing a circle 2001-10-17
Ahmeen pose la question :
I am having a hard time figuring out how a circle can be divided into 11 equal parts with only 4 cut allowed? My teacher gave this to us and I still can't cut my pie into eleven equal parts with only four cuts.
Walter Whiteley lui répond.
When will the ship disappear? 2001-10-10
Stacy pose la question :
If the sail of a ship were a 100 ft. tall and you were a mouse at the edge of the shore looking out at it, how far out would the ship be when it disappears? ( your eye level is level with the water.)
Harley Weston lui répond.
The 100 chart 2001-09-28
Nich pose la question :
Am I suppose to use the 100 chart for these questions.

Question One:
I am a 2 digit number my tens digit is 2 more than my one digit my 1 digit is between 4 & 6. What # am I ?

Question Two:
I am a 2 digit # I am greater than 40 but less than 60 my tens and ones digits are the same I am a odd number what am I ?


Penny Nom lui répond.
Counterclockwise 2001-09-14
Rolanda pose la question :
When Descartes invented the coordinate system he decided to number them counter-clockwise. Why?
Chris Fisher lui répond.
Earthquake warning 2001-09-03
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.
Integration by parts 2001-04-09
A student pose la question :
how do you integrate x tan-1x dx, i know it can be done by integration by parts maybe, but i'm not sure....
Claude Tardif and Harley Weston lui répond.
Two integrals 2001-04-03
Jim pose la question :
I'm having trouble with these integrals. Can you help me out?

1)the integral of:

x5 arctan x dx

2)the integral of:

2x5 + 9x4 + 19x3 + 13x2 - 5x - 25
----------------------------------------------- dx
x4 + 4x3 + 5x2


Claude Tardif lui répond.
A quartic equation 2001-02-15
George pose la question :
Let P(x) = x4 + ax3 + bx2 + cx + d. The graph of y = P(x) is symmetric with respect to the y-axis, has a relative max. at (0,1) and has an absolute min. at (q, -3)

a) determine the values for a, b c, and d using these values, write an equation for P(x)
b) find all possible values for q.


Harley Weston lui répond.
Part of a part 2001-02-11
Katie pose la question :
Hello! I was looking at your Fraction questions and since i am pursuing to be an elementry school teacher i feel i don't understand one of your responses. How would you explain this to an elem, midd, and high school student. Even me myself-in college really does not understand. The question was: When you multiply two positive fractions less than 1, how does the answer compare to the size of the fraction? Why?
Penny Nom lui répond.
Place value chart 2001-01-11
Charles pose la question :
Can you send me a pictorial example of a place value chart?
Harley Weston lui répond.
A dollar, quarter, dime, nickle and penny 2001-01-07
Sarah pose la question :
Arnold has a dollar coin, one dime, one quarter, one nickel, and a penny. The number of different sums of money that can be formed using three coins is...
Penny Nom lui répond.
A quarter-circle and two semi-circles 2000-12-31
Christopher pose la question :
Inside the quarter-circle are two semi-circles with the same radius, (r). Which has a greater area, G or L?
Penny Nom lui répond.
A cycloid in Cartesian form 2000-09-20
Billy pose la question :
The parametric equation of cycloid is given:
x=r(t-sint)
y=r(1-cost)

How to eliminate t?


Harley Weston lui répond.
Buying art supplies 2000-09-18
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.
Uniting algebra and geometry 2000-04-16
Beth pose la question :
Who is the mathmatician that united algebra and geometry???
Claude Tardif lui répond.
All the roots of x^6 - 64 2000-04-15
Dakota pose la question :
Find ALL zeros of P(x) = x 6 - 64
Walter Whiteley lui répond.
Congruent parts of congruent figures 2000-03-10
Erica pose la question :
Yesterday, I recieved a test problem asking to prove two line segments equal. Here is the problem as I was given it:

Given: paralleogram ABCD
AE is perpendicular to DB
CF is perpendicular to DB
Prove: AE is equal to CF

I answered the problem as follows:
.
.
.
Walter Whiteley lui répond.

Party favors 2000-02-22
Krystina Fernandez pose la question :
Luanne was making party favors for her little sister's birthday party. Each party favor was in the shape of a cube. Luanne had pink and purple paint to paint the cubes and she could paint each face only solid pink or solid purple (no dots,stripes,ect.).For example, one cube may be all purple, another may have two purple faces and four pink faces. Her little sister wanted to have a different cube for each guest.(A cube is not considered different if it can be turned so that all it's sides match the corresponding sides of another cube.)How many different cubes was it possible for Luanne to make?
Claude Tardif lui répond.
A valentines project 2000-02-21
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.
Mass of the earth 2000-02-21
Terry Broughton pose la question :
My name is terry i am 15 my question is how much does our planet earth weigh ?
Chris Fisher and Harley Weston lui répond.
How wide is the well? 1999-11-24
Chris Baranski pose la question :
There is a well and in the well there are 2 sticks one is 2 meters long the other is 3 meters long and they are opposite to each other. They are leaning against the wall of the well. The place where they touch is 1 meter of the bottom of the well. How wide is the well?
Chris Fisher lui répond.
Rolling Circles 1999-09-12
Craig Ellis pose la question :
We have a circle of radius 3. inside the circle and tangent to the circle of radius 3 at one point is a circleof radius 1. The question is if we could roll the smaller circle around the inside of the larger circle how many revolutions would it take to get around to where we started.
Chris Fisher and Walter Whiteley lui répond.
A ladder problem 1999-04-22
Michael Blade pose la question :
There is a cube box 3feet x 3feet x 3ft resting against a vertical wall on level ground. Resting against the outside corner of the box is a ladder 10 feet tall, this ladder is of course resting on the ground but also against the outside corner of the box and rests on the wall.

The question- the ladder is divided into two unequal section bounded by the box to the ground and the box to the wall. what are those dimensions?
Penny Nom lui répond.

Calculus problems 1998-07-13
Lorraine pose la question :
I'm stuck again. Can you help?

This involves integration using the method of partial fractions

the integral of:
7x(to the 5th) - 2x(cubed) + 3 dx
--------------------------------------
x(to the fourth) - 81

Do I have to do long division to reduce the numerator to the fourth power?

the integral of:
4- 16x +21x(squared) + 6x(cubed) - 3x(fourth) dx
----------------------------------------------------
x(cubed)(x - 2)(squared)

Lorraine
Harley Weston lui répond.

Curvature of the Earth 1998-03-16
Robert Dyck pose la question :
How can I find the curvature per mile of the earths surface? What is it?
Harley Weston lui répond.
The Earth's Arc 1998-02-06
Robert Dyck pose la question :
How do I find the arc/mile of the earths surface? What is the arc?
Harley Weston lui répond.
Cos(x) Cos(2x) Cos(4x)=1/8 1997-09-24
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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