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Terminologie mathematique 2010-10-31

Adil pose la question :
Bonjour ,

Pourriez-vous m'indiquer les titre et auteur d'un bon dictionnaire francais anglais de terminologie mathematique ? Auriez-vous egalement l'adresse d'un site web traduisant du francais a l'anglais les termes ert expressions mathematiques ?

Merci par avance,
Adil
Pierre-Louis Gagnon lui répond.

J'ai l'équation X^n=Y Je cherche à sortir n. 2008-11-05

Jean-Philippe pose la question :
Bonjour.
J'ai l'équation X^n=Y Je cherche à sortir n.
Existe-t-il une équation donnant n=f(X,Y) ?
Pierre-Louis Gagnon et Émile Létourneau lui répond.

Logarithmique et semi logarithmique 2008-03-08

azaar pose la question :
Je veux savoir comment passer d'un échelle linière à l'échelle logarithmique ou semi logarithmique ?
Lierre-Louis Gagnon lui répond.

Dérivée logarithmique 2007-03-04

Albert pose la question :
Déterminer la dérivée première des fonctions logarithmiques suivantes : 1) f (x) = x exposant x 2) f (x) = x exposant e exposant 2x
Claude Tardif lui répond.

logarithme 2006-10-24

Julie pose la question :
Loga(x^2-4) - loga(x-2)
Claude Tardif lui répond.

ln(x+3)+ln(x+2)=ln(x+11) 1999-11-24

Thibault Portevin pose la question :
"Résolvez l'équation : ln(x+3)+ln(x+2)=ln(x+11)" Je suis bloqué, pourriez-vous m'aider?
Claude Tardif lui répond.

logarithme neperien 1999-11-10

Louise Kieffer pose la question :
D'où provient la valeur e ( 2,7....) des logarithmes népériens ?
Claude Tardif lui répond.

An analytic proof that a quadrilateral is a parallelogram 2020-10-26

Apollo pose la question :
Prove analytically that if ABCD is a parallelogram in which points P and Q trisects the diagonal AC, then BPDQ is a parallelogram.
Penny Nom lui répond.

An exterior angle of a parallelogram 2019-11-29

A student pose la question :
one angle of a parallelogram is four times the measure of the exterior angle adjacent to it. find the interior angles
Penny Nom lui répond.

A four person race 2019-11-19

Juvy pose la question :
Ben finished seven seconds ahead of Mike.
Noel finished three seconds behind of Sam.
Mike finished five seconds behind Noel.
In what order did the friends finish the race?
Penny Nom lui répond.

A problem with logarithms 2019-08-23

Iriogbe pose la question :
Find the value : if log3 (a-6) =2b and log2 (a-7) =3b
Penny Nom lui répond.

Why Mean? 2019-05-08

Jill pose la question :
A group of teachers were trying to figure out why the”mean” is called mean - do you know??
Penny Nom lui répond.

4^x=2^x+6 2019-04-05

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.

Double the number of pennies each week 2019-02-28

Donald pose la question :
If I save a penny a week,double it every week,How many weeks will it take to reach 1,000,000 dollars
Penny Nom lui répond.

y=lnx+(1+ln2)/2 and y=x^2 2019-01-28

Mike pose la question :
Prove that y=lnx+(1+ln2)/2 and y=x^2 touch each other.

The course is about logarithm and root functions... how should I solve this problem?
Penny Nom lui répond.

Is a rectangle a parallelogram? 2018-02-28

ellie pose la question :
is a rectangle a parallelogram?
Penny Nom lui répond.

A parallelogram, a rhombus and a rectangle 2018-02-07

Sambo pose la question :
what do parallelogram, rhombus and rectangle have in common?
Penny Nom lui répond.

4444^4444 2017-12-10

Sashi pose la question :
4444 to power of 4444=?
Please share the result with simplification.
Penny Nom lui répond.

The derivative of f(x)=2^x/x 2017-11-28

Chhavi pose la question :
f(x)=2^x/x.
Find f'(x).
Penny Nom lui répond.

Squares and rectangles 2017-07-15

Tront pose la question :
So, there's a general rule that all squares are rectangles but not all rectangles are squares. Im trying to find a term that would describe this relationship. I've found that if all of A is B but not all B is A then I'd say that A is a subset of B, but is there a term that describes the relationship as a whole? I don't want to describe the components, I want to describe the relationship as a whole.
Penny Nom lui répond.

3^2x-5=27 2016-12-14

danaja pose la question :
solve for the following 3^2x-5=27
Penny Nom lui répond.

An open ball is an open set? 2016-06-23

Aqeel pose la question :
Theorem: The open ball is an open set?
Harley Weston lui répond.

The midpoints of the sides of a quadrilateral 2016-02-05

Andrea pose la question :
The segments, joining, in order the midpoints of consecutive sides of a quadrilateral form a parallelogram.
Penny Nom lui répond.

Consecutive angles of a parallelogram 2016-01-28

Hanna pose la question :
The consecutive angles of a parallelogram measures
Penny Nom lui répond.

Find two values of x satisfying f(x)=1 where f(x)=sin(ln(x)) 2016-01-21

Ruth pose la question :
I'm trying to find two values of x satisfying f(x)=1 where f(x)=sin(ln(x))
Penny Nom lui répond.

Proof that an erroneous algebraic statement is false 2015-12-14

Berteanu pose la question :
I need help with this proposition:
"It exists x a real number that for every y real number 5*x-2*y*y=1
This is false.
Let x be from R.
And I need an y real number that 5*x-2*y*y!=1
Please,could you help me?
Penny Nom lui répond.

Parallelogram area 2015-08-04

Nigel pose la question :
To find the area of a parallelogram you multiply the base by the height of the parallogram, the height being determined by an imaginary line drawn at right angles to the base. However if I made a parallelogram with joints at each corner and maipulated it to an upright position where the base and sides were at 90 degrees to each other,, I could then simply multiply the base times the height to get the area. Since the sloping side of the parallelogram does not vary in my imaginary jointed model, why can I not simply multiply the base by the sloping side to get the area in the same way that I multiply the base times the height of a square to find its area ? I cannot find the answer to this on the internet although I have searched.
Chris Fisher lui répond.

Manipulating an expression using logarithms 2015-05-18

Katie pose la question :
Solve x=At^be^-ct for b in terms of c.
The e is Euler's number, not a letter or random placeholder.
v I've tried 2 methods on my calculator, and I am unsure as to why they give me different answers, and which one is correct.
For some reason, when placing a multiplication sign in between the A and the first t, I get a completely different answer. Why is this?
Also, which is the right answer for the question I have?
Thank you!
Katie :)
Penny Nom lui répond.

A parallelogram inscribed in a circle 2015-02-04

narendra pose la question :
how can we prove that a circular parallelogram is a rectangle?
Chris Fisher lui répond.

logbase4 (sin x) = -0.5 2014-10-26

Susan pose la question :
Solve for x: logbase4 (sin x) = -0.5
Penny Nom lui répond.

Interior angles in a parallelogram 2014-08-30

xavier pose la question :
so, one of my math homework questions requires me to know how to find out how to find the interior angles in a parallelogram, the question is, "how many interior angles does a parallelogram have?"
Penny Nom lui répond.

Logarithms 2014-08-28

effaryna pose la question :
how logarithms is applied in everyday life?
Penny Nom lui répond.

Differentiate ln[x(2x-4)^1/2] 2014-06-28

Igwe pose la question :
If y=In[x(2x-4)^1/2],find dy/dx at x=3
Penny Nom lui répond.

How do we use logarithms in our daily life 2014-06-01

ss pose la question :
how do we use logarithms in our dailylife
Penny Nom lui répond.

The inverse of y = 5^x 2014-03-07

Melody pose la question :
how do you find the inverse of y = 5^x
Penny Nom lui répond.

The area of a parallelogram 2013-11-28

shivam pose la question :
a parallelogram has sides 34 cm and 20 cm .one of its diagonal is 42 cm. calculate its area
Harley Weston lui répond.

Evaluate log3 14 2013-11-17

Tash pose la question :
Use the Change of Base Formula and a calculator to evaluate the logarithm, correct to six decimal places. Use either natural or common logarithms.

log3 14
Penny Nom lui répond.

n log n = 36 * 10 ^ 12 2013-11-12

shihab pose la question :
How to find value of n in this equation :

n log n = 36 * 10 ^ 12
Penny Nom lui répond.

2^x . 5^3 = x^4 2013-09-05

Zuhdina pose la question :
Hi, I got a question, 2^x . 5^3 = x^4 I want to know the value of x without using calculator, I've already done some questions in logarithm and I always stuck in the same model equation-I think if someone shows me the way, I can do the other 'stuck equations'
Penny Nom lui répond.

4=(1+.08)^x 2013-06-15

Samantha pose la question :
I can't seem to understand how to solve for x when it is in power form, here is the equation:

4=(1+.08)^x
Penny Nom lui répond.

How do i write log_8(P) =7 in exponential form? 2013-04-14

nancy pose la question :
How do i write this in exponential form log8P =7
Penny Nom lui répond.

Solve 8 logx > x 2013-02-19

Fulvio pose la question :
Hi, could you solve this equation in algebraic form:

8logx>x
Harley Weston lui répond.

What is the domain of f(x)=sin(ln(x))/ln(x)? 2013-02-06

Behrooz pose la question :
Hi, the following problem may be interesting: What is the domain of f(x)=sin(ln(x))/ln(x)? Be careful, domain is not obvious. Best regards Behrooz
Penny Nom lui répond.

A question about a parallelogram 2012-10-14

Renu pose la question :
Question from renu, a parent:

ABCD is a parallelogram. BP and DQ are two parallel lines cutting AC at P and Q respectively. prove that BPDQ is a parallelogram
Harley Weston lui répond.

The exponential form of log8=P 2012-04-25

Kristina pose la question :
what is the exponential form of log8=P
Penny Nom lui répond.

How long will it take lee to catch up with jodie? 2012-03-21

kirsten pose la question :
for example, if jodie is on the bus travelling at 10 m.p.h and lee is walking at 4 m.p.h how long will it take lee to catch up with jodie?? what is this mathematical name for this
Harley Weston lui répond.

If a parallelogram is a cyclic quadrilateral then it is a rectangle 2012-02-01

Kim pose la question :
Show that if a parallelogram is a cyclic quadrilateral then it is a rectangle. Hint: Observe that in a parallelogram ABCD we always have Triangle ABC is congruent to Triangle CDA.
Robert Dawson and Chris Fisher lui répond.

A problem in logic 2012-01-19

Ghader pose la question :
The puzzle below I know the answer to; because someone told me! My question is: how could I answer it using logic, maths, etc. what field of inquiry does this kind of problem fall into? Puzzle: You are in a room with two men: one is a compulsive liar and the other is a compulsive honest. There are two doors: one leading to heaven, the other to hell. The two men know which door leads to where. You want to go to heaven but are allowed only ONE question from one or the other of the two men. What would that question be? [The question to ask, from either man, is: "if I asked the OTHER man which door leads to heaven, which door would he point?". You would then choose the other door.] Has this answer got any basis in logic or maths at all?
Robert Dawson lui répond.

A log equation in exponential form 2011-11-11

Sarah pose la question :
Express the equation in Exponential form

log2 to the 16th power=4
Penny Nom lui répond.

Uses of logarithms 2011-11-09

BEA pose la question :
what is the use of logarithmic functions in real life or daily life?
Penny Nom lui répond.

Infinite Logarithmic Series 2011-08-08

Sourik pose la question :
Dear Expert,

In my Amithabha Mitra and Shambhunath Ganguly's "A Text Book of Mathematics" I found the formula of log (1+x) where the base is e and x lies in between -1 and +1.As I want to learn Mathematics,I am not satisfied with the mere statement of the formula.Please help giving me the full proof.
Thanking you,
Sourik
Robert Dawson lui répond.

Exponential form 2011-05-18

Kara pose la question :
How do I write this in exponential form?

log 1/8 = -3
Penny Nom lui répond.

The rate of change of the area of a parallelogram 2011-04-05

Gevork pose la question :
Let a parallelogram have sides of 8 and 12 and let vertex angle A be decreasing at a rate of 2degrees per minute. Find the rate of change of the area of the parallelogram when angle A equals 30 degrees.
Penny Nom lui répond.

ln(12 x) = 6 2011-03-03

Carolyn pose la question :
solve the equation

ln12x = 6

Thank you

Carolyn
Penny Nom lui répond.

The diagonals of a parallelogram 2011-02-17

ginger pose la question :
Find the diagonals of parallelogram where the the side is 40 and the bottom side is 15.
Penny Nom lui répond.

Daily life example of logarithms 2011-02-04

owais pose la question :
what are the application or daily life example of logarithms?
Harley Weston lui répond.

Simplify the logarithmic expression 2010-12-02

Adori pose la question :
Use the properties of logarithms to simplify the logarithmic expression. Log(1/250) base 5
Penny Nom lui répond.

A Taylor polynomial for (lnx)/x 2010-09-29

Dave pose la question :
I have a series problem that I cannot solve. The problem asks for you to compute a Taylor polynomial Tn(x) for f(x) = (lnx)/x. I calculated this poly out to T5(x) and attempted to use this to identify a pattern and create a series in order to calculate Tn(x). However, the coefficients on the numerator out to F5prime(x) are as follows: 1, -3, 11, -50, 274... Ok, so the negative is an easy fix -> (-1)^n-1. But the other coefficients are stumping me. I can't see any sort of pattern there and I've tried every trick I know. Is there another way to go about this? Thanks!
Chris Fisher lui répond.

An equation involving logarithms 2010-09-27

mindy pose la question :
Hi,
I am trying to find x, the equation is:
log_2(log x + 2 (log x)^(1/2) + 1) - 2 log_4((log x)^(1/2) + 1) = 1

Thank you very much for your time. =)
Harley Weston lui répond.

A logarithmic equation 2010-09-08

Rohit pose la question :
x^2 + k*ln(x) - c - k = 0

Where k and c are constants.
Penny Nom lui répond.

Converting kilograms to cubic metres 2010-07-16

Ilai pose la question :
I want to convert kg to cubic metre
Penny Nom lui répond.

12 coins 2010-07-07

Eden pose la question :
We have 12 coins same in size and shape and also weight. But among these, one coin which has same size and shape, but not in weight and we can't know that this coin was lighter or heavier. We must decide which coin was lighter or heavier among these 12 coins in 4 times of weighting with scale.
Stephen La Rocque and Tyler Wood lui répond.

y = - log(x) 2010-04-28

Alex pose la question :
y= - log(x), where y = 4.3
solve for x.
Harley Weston lui répond.

Pyramids and parallelograms 2010-04-01

Vivi pose la question :
Hi, my name is Vivi, and math teacher is giving a geometry test. I tend to forget how to find the surface area and volume of triangular pyramids and parallelograms. Do you have a way of remembering how to find the surface area?
Harley Weston lui répond.

Log[f(x)] 2010-03-08

sourabh pose la question :
What is the number of solutions of the equation 9 x 2 - 18 x + 5 = 0 for x, such that the expression log10[(x+1)(x+2)] exists?
Harley Weston lui répond.

Growth rates 2010-01-26

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- n^2/3 < n/lg n < n^0.99

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.

541.39(1 + i)^15 = 784.09 2009-10-14

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.

Exponential form 2009-08-05

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.

Log_7 (4X) = Log_14 X 2009-07-08

Mukulu pose la question :
Help me with this question because i tried my level best to get the right answer but i failed Log_7 (4X) = Log_14X
Stephen La Rocque lui répond.

Possible Values of a Base of a Logarithm 2009-06-05

nazrul pose la question :
If log base x of 25=2 then what is the value of x? I am confused if the result be 5 or -5. Please explain. Thank you.
Robert J. Dawson lui répond.

(logx)squared + log (xcubed ) +2 =0 2009-05-19

michael pose la question :
Solve for x: (logx)squared + log (xcubed ) +2 =0
Penny Nom lui répond.

The sides of a parallelogram 2009-03-17

Sami pose la question :
If ABCD is a parallelogram, prove that line AB is congruent to line CD. Clearly state your reasons and conjectures.
Penny Nom lui répond.

A property that decreases in value every year by 10 percent 2009-03-07

PEter pose la question :
there is a competition problem where a cottage is worth 25000 years, but it decreases in value every year by 10 percent. Without a calculator, is there a way to find after how many years, the cottage will be worth 2500? (besides multiplying it out and besides logs)
Stephen La Rocque lui répond.

An inequality with logs 2009-03-06

Indrajit pose la question :
(x/10)^(logx - 2)<100..........how to solve this one??
Stephen La Rocque lui répond.

If 5 to the power of y = 625, what is y? 2009-03-02

Charlene pose la question :
If 5 to the power of y = 625, what is y?
Penny Nom lui répond.

Frogs and kangaroos 2009-02-16

Jenny pose la question :
Albert, Bernard, Charles, Daniel and Ellie play a game in which each is a frog or kangaroo. Frogs' statements are always false while Kangaroos' statements are alwas true. 1. Albert says that bernard is a kangaroo. 2. Charles says that Daniel is a frog. 3. Ellie says that Alvert is not a frog. 4. Bernard says that Charles is not a kangaroo. 5. Daniel says that Elie and Albert are different kinds of animals. How many frogs are there?
Penny Nom lui répond.

6^x = y 2009-02-12

Jamie pose la question :
Find x: 6^x=y
Harley Weston lui répond.

The area of a triangle 2009-01-25

black pose la question :
Explain how the formula for the area of a triangle can be determined by using the formula for the area of a parallelogram.
Penny Nom lui répond.

650g+2kg+195g=how many kg 2008-12-11

christian pose la question :
650g+2kg+195g=how many kg
Penny lui répond.

A quadrilateral with two pairs of congruent sides 2008-12-10

nicole pose la question :
what is the name of a figure that has 2 sides that measure 25 feet each and 2 sides that measure 10 feet each?
Robert Dawson lui répond.

A quadrilateral with exactly 1 pair of parallel sides and no congruent sides 2008-12-10

alie pose la question :
a quadrilateral with exactly 1 pair of parallel sides and no congruent sides is what?
Robert Dawson lui répond.

A log base 2 problem 2008-11-26

dave pose la question :
solve for x

(log base 2 of x) - (log base 2 of (x-2)) = 3
Penny Nom lui répond.

Symmetries of a parallelogram 2008-11-24

anisha pose la question :
how many lines of symmetry does a parallelogram have. A square and a rect are a parallelogram too. so it is confusing?? pls help
Walter Whiteley lui répond.

How do you solve "logx^4=4? 2008-11-17

Scott pose la question :
How do you solve "logx^4=4"?
Penny Nom lui répond.

Scaling a logo 2008-10-20

Carl pose la question :
Hello! I hope that you can help me out here. I've been trying to figure this out for awhile now and can't come up with the answer logically. I am a graphic designer by trade and need to figure out how large my client's logo should be. The logo will need to be sized proportionally with the surface area of the page. The logo will always be sized at 1.2938(w) x .75(h) on a letter size page (8.5 x 11).
My question is...
When you increase the size of the page (not always proportionally sized - dimensionally) how do figure out the NEW size of the logo. I could have a page 20" x 40" or 30' x 4'... or ANY size really. I believe I have the new surface area of the logo but can't find the new dimensions.
Harley Weston lui répond.

Logs and exponentials 2008-10-06

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.

4^x = 2^x + 12 solve for x 2008-10-02

Dave pose la question :
4^x = 2^x + 12 solve for x.
Harley Weston lui répond.

An Euler diagram and a logic argument 2008-09-18

Regina pose la question :
Use a Euler diagram to determine whether the following argument is valid or invalid.

No wizard can yodel
All lizards can yodel

No wizard is a lizard
Penny Nom lui répond.

What is the derivative of (2^sinx)/(logbase4(2x+1))? 2008-09-16

Jesse pose la question :
What is the derivative of (2^sinx)/(logbase4(2x+1))
Harley Weston lui répond.

Solving Exponential Equations Using Logarithms 2008-09-15

Todd pose la question :
7(6^x)=6e^-2x
Janice Cotcher lui répond.

2^x = 1,000,000 2008-09-06

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.

Solve e^x + e^(x+1) = 250 2008-08-25

Laura pose la question :
"solve this equation correct to three decimals"
e^x + e^x+1= 250
Penny Nom lui répond.

Solving with the Natural Log 2008-07-28

CB pose la question :
I am trying to solve lnx +3ln2 = ln 2/x. Every way I've tried when I go to plug in the solution it doesn't come out right.
Penny Nom lui répond.

A hexagon has 3 parallelograms 2008-07-21

Stephanie pose la question :
A hexagon has 3 parallelograms but I am unsure of how to cut a hexagon into 3 parallelograms. Can you show me what this would look like?
Harley Weston lui répond.

Write log_2 (1/8) = -3 in exponential form 2008-06-27

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.

The angles of a parallelogram 2008-06-11

light pose la question :
ABCD is a parallelogram. If angle A. = (4x=17)degrees and angle B. = (3x-5)degrees , what is angle c?
Penny Nom lui répond.

limit x->0 (logx-log(x-1)) 2008-05-22

kritica pose la question :
lt x->0 (logx-log(x-1))
Harley Weston lui répond.

Which is larger, 727464^512693 or 624610^518548? 2008-05-18

Yahweh pose la question :
Lets say I have two very large numbers in the form of a^b: 727464^512693 and 624610^518548

I want to calculate which number is larger, but its unreasonable to type these numbers into a spreadsheet to get an answer right away. How could I determine the larger or the two numbers efficiently?
Stephen La Rocque lui répond.

The inverse of a function 2008-05-03

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.

Naming a figure 2008-04-24

P. pose la question :
What is the name of a figure that has 2 sides that measure 25 feet each and 2 sides that measure 10 feet each?
Penny Nom lui répond.

log2x+log(x+4)=1 2008-04-12

ryan pose la question :
solve the equation for x, log2x+log(x+4)=1
Penny Nom lui répond.

1-(1-P)^75=0.05 2008-04-05

Amy pose la question :
1-(1-P)^75=0.05
Stephen La Rocque and Penny Nom lui répond.

The distance between the sides of a parallelogram 2008-03-30

jhon pose la question :
Calculate the perpendicular distance between AB and DC of a parallelogram. Note: AB and DC are the sides of the parallelogram.
Penny Nom lui répond.

A puzzle about hats 2008-03-03

Sylvia pose la question :
There were 4 people sitting in a row, truing to win $50.00 from a riddle.

The one in front was wearing a red hat. The second from the front was wearing a blue hat. The third from the front was wearing a red hat. The last was wearing a blue hat and is blind-folded.

Each of them were informed that they are all wearing a hat, the last person is blind-folded and that there are 2 red and 2 blue hats. If they can guess the colour of their hat, then they win the prize.

There was a long silence, then one of them guessed the color of his hat correctly. Who was it? and explain why.

(note that they can only see the person in front of them and are not allowed to turn around and see behind them.)
Penny Nom lui répond.

Prove (p & ~q) v p = p 2008-02-12

Tom pose la question :
Prove (p & ~q) v p = p

Do I need to use the absorption law p v (p & q)=p? If yes,how do I cope with the NOT(~) in q?Thank you.
Harley Weston lui répond.

The interior angles of a parallelogram 2008-01-29

amber pose la question :
the measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle.
Penny Nom lui répond.

Volume of a log 2008-01-29

Reji pose la question :
i purchased a teak wood length 20feet and perimeter 60inch. How much cubic feet will be the wood.
Stephen La Rocque lui répond.

The interior angles of a parallelogram 2008-01-28

steffie pose la question :
How do you calculate the interior angle sof a parallelogram?
Penny Nom lui répond.

A parallelogram and a rhombus 2008-01-22

miguel pose la question :
i have a problem proving a parallelogram a rhombus.. if a diagonal of a parallelogram bisects an angle of the parallelogram , then its a rhombus prove
Stephen La Rocque and Walter Whiteley lui répond.

Two logic problems 2007-12-07

Grace pose la question :
1. You are an archaeologist that has just unearthed a long-sought triplet of ancient treasure chests. One chest is plated with silver, one with gold, and one with bronze. According to legend, one of the three chests is filled with great treasure, whereas the other two chests house a man-eating python that can rip your head off. Faced with a dilemma, you then notice that there are inscriptions on the chests:

Silver Chest - Treasure is in this Chest.
Gold Chest - Treasure is not in this Chest.
Bronze Chest - Treasure is not in the Gold Chest

. You know that at least one of the inscriptions is true, and at least one of the inscriptions is false. Which chest do you open?
(a) Silver (b) Gold (c) Bronze
Penny Nom lui répond.

ln (x) - x = ln (2) 2007-11-18

James pose la question :
How do you make x the subject of

ln (x) - x = ln (2)
Stephen La Rocque lui répond.

0 = (1/t) - [ln(1+r) ln(t)] 2007-10-18

Brandi pose la question :
Objective: solve for t, where r = 0.05

0 = (1/t) - [ln(1+r) ln(t)]
Penny Nom lui répond.

Irrational functions 2007-10-01

alicia pose la question :
i have a question about irrationals functions.
i have been using them quite some time now, but i wonder where they can be found in daily life?
i hope you can help me,
Harley Weston lui répond.

x= (y/z)ln((1+a^2)/(1-a^2)) 2007-09-26

John pose la question :
If x= (y/z)ln((1+a^2)/(1-a^2)) Please solve for 'a' Thanks in advance!
Penny Nom lui répond.

Finding a geometric mean and taking its antilog 2007-08-27

Jack pose la question :
Would like to know the basic geometric mean calculation. Also how would I take the antilog from this number?
Stephen La Rocque lui répond.

Logs and exponentials 2007-07-31

Marsia pose la question :
Explain how the functions of exponents and logarithms relate to each other.
Penny Nom lui répond.

The graph of a log function 2007-07-30

Marsia pose la question :
How would you describe to another student what the graph of a logarithmic function looks like?
Penny Nom lui répond.

Proving a quadrilateral is a rectangle 2007-07-14

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.

log_a b + log_b a < 0 2007-07-08

Claire pose la question :
Suppose a, b are real numbers taking all positive values except 1, determine (without the use of calculators) whether there exists values of a and b such that log_a b + log_b a < 0
Penny Nom lui répond.

log(0.81) 2007-06-28

Ade pose la question :
If log 3 = 0.477 . The answer of log 0.81
Harley Weston lui répond.

Log base 2 of log base 2 of x 2007-06-27

alex pose la question :
y = log base 2 of lag base 2 of x The slope of the tangent to the given curve at its x-intercept is..?
Harley Weston lui répond.

Exponential form: x^y 2007-06-22

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.

The law of sines 2007-06-09

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.

Converting mass and volume of water 2007-05-10

Shian pose la question :
Hello please help, I just can't seem to get the convertion thing and my mom tried to help but I still don't get it. How many grams does 1 milliliter of water weight? I was told 1g. How many grams does 0.1 liter of water weight? I was told 0.1g. Can you tell me if the answers given are correct with an explaination that I can understand? Thank you.
Stephen La Rocque lui répond.

Understanding log equations 2007-05-10

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.

What is the limit of 3.x^(3/x) as x approaches +infinity? 2007-04-11

Teodora pose la question :
What is the limit of 3.x^3/x as x approaches +infinity ?
Haley Ess lui répond.

Logarithms 2007-04-09

Emi pose la question :
Given log10 2=0.30 and log10 3=0.47 How to i express 6 x 10power 14 in logarithm answer. Please help me. Thank you. Emi
Stephen La Rocque lui répond.

A logarithm of a product and the product of logarithms 2007-02-27

Sharon pose la question :
Can you please explain Explain the difference between a logarithm of a product and the product of logarithms and give examples of each?
Stephen La Rocque and Penny Nom lui répond.

Centimeters to cubic meters and grams to kilograms 2007-02-14

Colleen pose la question :
A box of balls measures 120cm by 20cm by 20cm and weighs 48 g.
One thousand boxes = x cubic meters and weighs x kilograms.
Also, one million boxes = x cubic metes and weighs x kilograms.
One billion boxes = x cubic meters and weighs x kilograms. Solve for x.
Stephen La Rocque lui répond.

The interior angles of a parallelogram 2007-02-07

jenniffeir pose la question :
Can a parallelogram have two 45 degree angles and two 75 degree angles?
Haley Ess lui répond.

The diagonals of a parallelogram are mutually bisecting 2007-01-21

Greta pose la question :
I am having trouble proving that the diagonals of a parallelogram are mutually bisecting.
Penny Nom lui répond.

Two consecutive angles of a parallelogram 2007-01-17

Veronica pose la question :
The measures of two consecutive angles of a parallelogram are in the ratio 9:11. Find the measure of each angle.
Penny Nom lui répond.

A problem involving logs 2006-11-26

Beth pose la question :
any help would be appreciated on how to solve without using the change of base formula for logarithms in the solution and check of the solution!!!

log256 (x) + log16 (x) + log4 (x) + log 2 (x) = 7/4
Stephen La Rocque and Penny Nom lui répond.

An angle in a parallelogram 2006-08-13

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.

How many digits are in the number 2^64? 2006-06-14

Trang pose la question :
How many digits are in the number 2⁶⁴?
Stephen La Rocque lui répond.

The area of a parallelogram 2006-03-12

Shayne pose la question :
Is there a method of finding the area of a trapezium or/and parallelogram even if the height is not given? Could you also explain how to find the height?
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.

An equation involving logarithms 2006-03-05

Chris pose la question :
Given that log_e y = 0.3log_ex+1.2 show that y=3.32 x^0.3

Penny Nom lui répond.

6^(x+1) = 12^(x-3) 2006-02-05

BB pose la question :
6^x+1 =12^x-3
Penny Nom lui répond.

Who is lying? 2006-01-14

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.

Differentiation, powers and logs 2006-01-06

Claudia pose la question :
Question: how do I find the derivative of

x* ln(x+(e^2))^2

x^lnx

x^(e^(-x^2))

Penny Nom lui répond.

A 24 sided polygon 2005-12-14

Matt pose la question :
I would like to know if there is a name for a 24 sided shape
Penny Nom lui répond.

Inclusive definitions 2005-12-14

Layla pose la question :
recently the solvable quandary of 5+5+5=550 came up (the question says that you have to put 1 straight line somewhere in the equation to make it true with out turning the "=" into a "not=" sign).

So two answers were put forward:
545+5=550 (the use of a line converting a + into a 4)
AND
5+5+5(less than or equal to)550

There is currently an argument about the second solution. The disagreement is about whether this sign can be used. One person is arguing that the "less than or equal to" sign defines that the number on the left is in the range 550 and below. The other is saying that since the number (which is clearly defined with no variables) can never equal 550, then the "less than or equal to" sign cannot be used in this case.

Which one is the correct definition?

Walter Whiteley lui répond.

Express t as a function of d 2005-11-30

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.

Percent or percentage 2005-11-03

Kenneth pose la question :
Which word should be used in the following?

Change a (percent or percentage) to a decimal.

Should the word percent be used only when a number precedes it as in 45 percent?

Harley Weston and Chris Fisher lui répond.

cos x * cos 2x * cos 4x * cos 8x 2005-08-29

Leandro pose la question :
A = cos x * cos 2x * cos 4x * cos 8x

What's the value of log A at base 2?

Chris Fisher and Penny Nom lui répond.

y = log(x) + x. Solve for x. 2005-08-26

Alain pose la question :
I have the following equation:

y = ln(x) + x

How do I solve for x?

Penny Nom lui répond.

How many digits? 2005-06-07

Floren pose la question :
The numbers 2¹⁹⁸⁹ and 5¹⁹⁸⁹ are written one after another. How many digits in all are there?
Claude Tardif lui répond.

Logarithmic differentiation 2005-05-23

Richard pose la question :
I need to convince myself that I understand the process of differentiating y=x^x.
The specific question is that if I have to take the logarithm of both sides of the equation how can differentiate the following?
y= {(x+2)^(x+2)}/{(x+1)^(x+1)} - {(x+1)^(x+1)}/(x^x),
I have an idea that the differential of this fairly complex function is itself ... am I right or wrong.
Penny Nom lui répond.

A torus and a sphere 2005-03-27

Tony pose la question :
Is it possible to shrink a torus into a sphere?
Andrei Volodin and Penny Nom lui répond.

Trading fish for bread 2005-02-25

Mike pose la question :
Byron lives where people trade goods they produce for other things they need. He has some fish and wants to trade them for bananas. He finds the following:
5 fish = 2 loaves of bread
6 oranges = 2 melons
1 loaf of bread = 1 banana and 3 oranges
4 loaves of bread = 14 oranges
How many bananas can Byron get with 5 fish?
Penny Nom lui répond.

arcsech x 2005-02-10

Monica pose la question :
Prove that arcsech x = ln[(1 + (1-x²)^(1/2)) / x ]
Penny Nom lui répond.

Extraneous solutions 2005-02-04

Heather pose la question :
My teacher wants to know why there are extraneous solutions in logarithms?
Penny Nom lui répond.

Some logarithm problems 2005-01-27

Jo pose la question :
Given ln x=7.1; ln y=8.2, Find ln(x^3y^7)
Penny Nom lui répond.

ln(hx+n) 2005-01-07

Anibal pose la question :
if I have the eq. y=hx+n and I want to know ln(y), how do I process ln(hx+n)?
Penny Nom lui répond.

A line from the center of the patch to the periphery 2005-01-01

Sandrine pose la question :
I am currently researching a patch disease of grasses. These patches are roughly circular. I need a term for a line from the center of the patch to the periphery. Since the patches are not perfectly circular, my supervisors tell me I cannot use the word 'radius'. What else could I use?
Denis Hanson and Harley Weston lui répond.

e = ln(b/a) solve for a 2004-12-01

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.

Crossing a river 2004-09-09

Barb pose la question :
Nine men and two boys, trekking through the jungle, need to cross a river. They have a small inflatable boat and it's easy enough to row it across the river. The boat, however, can hold no more than one man or the two boys. How can they all get across? (Hint. suppose there was only one man and two boys) Does it make math sense and what would the answer be
Penny Nom and Claude Tardif lui répond.

Two problems 2004-08-02

JJ pose la question :
A question on my homework assignment about logs says "suppose that x=logA and y=logB & write the expression in terms of x and y"

log(A - B)

Is this even possible? It seems like a typo.

Another is: "solve for t."

12(1.221)^t = t + 3

Is this one possible? If it is, I cant figure it out.
Penny Nom lui répond.

A parallelogram 2004-07-30

Keith pose la question :
I'm a high school student and have been having trouble with this problem , which is based on one pair of parallel sides of a parallelogram: If AD = 6x-5 and BC = 3x+7 find x. Of course both sides have to be equal. Now I know the value of x is 4 So my question is how do you get 4 from the given information.
Penny Nom lui répond.

12(1.221)^t = t + 3 2004-07-14

Jay pose la question :
This problem has me stumped since i cannot separate the t and the 3. Here it is:

12(1.221)^t = t + 3

It's on a logarithm worksheet, but how do i figure it out?!
Harley Weston lui répond.

(ln(50/x)) / (ln(40/x)) = a 2004-06-21

Un eleve pose la question :
(ln(50/x)) / (ln(40/x)) = a = constante

comment extraire la variable x ???
Claude Tardif lui répond.

Logs 2004-02-29

Sandy pose la question :
find X
3/2logb4-1/2logb8+logb2=logbx

my book uses prop 7 to rewrite as logb4raised3/2-logb8raised2/3+logb2=logbx; then writes logb8-logb4+logb2=logbx how did it get here?
Claude Tardif lui répond.

A problem with logs 2004-02-22

Caitlyn pose la question :
problem: ln x + ln (x-2) = 1

I can solve this on the calculator, but the book wants 1+ [(sqroot)1+e]. How can I get the e?
Penny Nom lui répond.

Logarithms 2004-02-01

A student pose la question :
Where did the word logarithmic come from? Where/whom did it originate?
Harley Weston lui répond.

Making a windmill 2004-01-02

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.

Domain of a function 2003-10-14

Karim pose la question :
Find the Domain of the Function
H(x) = Log3 (4x + 7)-10
H(x) = log base 3 times 4X plus 7 minus 10
i am having problem solving these kinds of problems.
Penny Nom lui répond.

Applications of logarithms 2003-09-16

A student pose la question :
I have a project due in my algebra two class dealing with logs and where they are used in life, but I am having trouble finding websites that relate. So I would really appreciate it if you couldhelp me.
Penny Nom lui répond.

Terminology 2003-08-31

Maria pose la question :
My daughter Veronica is a rising 6th grader and has to complete some Summer Math
assignments and would like to ask you three questions:

___________ are number pairs that have a product of 1.

You can name any point on a plane with two numbers. These two numbers are called _____________.

A _______________ is the size of a cube that is exactly 1 inch on each edge.
Thanks,
Penny Nom lui répond.

Natural logarithms 2003-07-22

Amanda pose la question :
I'm going into my senior year of high school. I will be taking AP calculus, and my teacher gave us some homework over the summer. However, there are two things that I do not understand how to do. The first is, she wants us to be able to generate a unit circle by hand using 30, 60 and 90 degree triangles. I have used the unit circle in trigonometry, however I was never taught how to draw it. Secondly, I need to know how to do natural logarithms without a calculator. I was not taught how to do this, and the worksheet I was given only showed me how to complete them using a calculator.
Claude Tardif lui répond.

Solve x = y^z for z 2003-06-28

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.

R= 5.3lnx + x. 2003-05-11

A student pose la question :
Reaction R to a dose x is given by: R= 5.3lnx + x. For a certain drug, R must not exceed 21. Show that a dose between 8 and 12 units satisfies this requirement & find, correct to 5 decimal places, the greates value of x which satisfies this condition?
Harley Weston lui répond.

Jo's books 2003-04-07

Miguel pose la question :
Jo announces, "I have more than 999 books."
Jean says: "No Jo! You have fewer than 1,000 books."
Mary says: "Jo has at least 1 book."
Only one of these statements is true. How many books does Jo own?
Penny Nom lui répond.

The area of a parallelogram 2003-04-06

A student pose la question :
Find the area of the parallelogram with vertices (0,0),(7,2),(10,7),(3,5)
Penny Nom lui répond.

Division names 2003-03-10

A parent pose la question :
what is the answer to a division problem called
Penny Nom lui répond.

Can a square be a rhombus? 2003-03-04

Beth pose la question :
Can a square be a rhombus? Some sources say yes, some say no. Some sources define a rhombus as a quadrilateral and parallelogram with equal sides, but without right angles. Some sources say a square is a special case of a rhombus. Clarity, please!
Walter Whiteley lui répond.

Can a square be considered a rectangle? 2003-02-27

Carla pose la question :
Can a square be considered a rectangle? (since opposite sides are same length and parallel)

Would a regular hexagon or octagon be considered a parallelogram since its opposite sides are parallel? or does a parallelogram HAVE to have only 4 sides?

Penny Nom lui répond.

Radians 2003-01-16

Erikson pose la question :
I am a student in the 10th grade and attending advanced math at my high school. I was assign to do a report about the unit circle and the radian. But there seems to be no information available about the history of the radian; who first found out about them, which civilizations used it if any. Well, hopefully you'll assist me in this troubling question. Thank you for your kind consideration.
Penny Nom lui répond.

NO RED-HATTED DWARVES ALLOWED 2003-01-14

Dulce pose la question :
There are 1000 dwarves in Dwarfland. Now as you know, dwarves are born with either red or white hats on.
The dwarves in Dwarfland love to party. Every night, they all flock to the same club to dance the night away.
One day, a sign is posted at the club: "NO RED-HATTED DWARVES ALLOWED". A certain number of days pass, after which all of the white-hatted dwarves are in attendance,and none of the reds.
How did the red hats know not to come?
Assumptions:

The number of red and white-hatted dwarves need not be equal. There are at least 1 of each color.

There are no reflections or mirrors in Dwarfland (i.e. the dwarves can't see the color of their own hat), and no dwarf can reveal through direct or indirect means the color of another dwarf's hat.

There is NO COMMUNICATION among dwarves

No white-hatted dwarf ever misses a night of partying

Claude Tardif lui répond.

A rope trick 2002-12-05

Jerry pose la question :
My name is Jerry and I am a math teacher at the secondary school level in the greater Toronto area. I posed the following problem to my enriched grade 10 math class that I found in the book called "Mathematics and the Imagination" by William Kastner. According to the author, it is posible for two people linked to each other with two ropes around their hands, to separate themselves without letting go of the rope. The students had lots of fun trying to accomplish this problem using skipping ropes from the Phys Ed department, but with no success.
Penny Nom lui répond.

Three bags of marbles 2002-11-08

A student pose la question :
I have 3 bags of marbles
1 bag is labeled blue; 2nd bag is labeled red; 3rd bag is labeled blue & red

all the bags are mismarked

your job is to take one marble from 1 bag look at it and correctly label all the bags

Penny Nom lui répond.

8 squares from 12 sticks 2002-10-08

A student pose la question :
If you have 12 sticks the same size, how do you make them into 8 squares?
Claude Tardif lui répond.

The community garden 2002-09-08

Michele pose la question :
Bryce, Duanne, Juliana and Sonya share a 40ft by 48 ft rectangular portion of the community garden in the neighborhood. With this space each has their own rectangular garden plot.
-Bryce is the only one with a square plot. its are is 1/2 the area of Duanne's -The area of Bryce's plot is 2/3 the area of Julianna's plot. Their plots have one side in common.

-Sonya's garden has an area twice that of Julianna's garden.

What are the dimensions of each person's garden plot?

Leeanne Boehm lui répond.

Parallelograms 2002-08-21

Moorthy pose la question :
11 parallel lines are intersected by another 9 parallel lines.Then how many parallelograms are formed?
Walter Whiteley lui répond.

20 men dig 40 holes in 60 days 2002-07-24

Lindsey pose la question :
20 men dig 40 holes in 60 days. So, 10 men can dig 10 holes in how many days?
Penny Nom lui répond.

Conversion of units 2002-04-29

Matt pose la question :
I am having trouble finding a workable equation for the following problem, particularly the conversion of two systems of measurement.
The question states that there are 27 grams of salt in a kilogram of seawater. And it asks how many tonnes (1 tonne = 1000 kilograms) of salt are there in one cubic kilometer of ocean. It also says that the density of seawater is 1.1 g/cm3.

What is the equation and how do I figure out how many kilograms there are in a cubic kilometre?

Harley Weston lui répond.

Logico mathematical knowledge 2002-01-23

A teacher pose la question :
How does young children's logico mathematical knowledge develop?
Walter Whitely lui répond.

The probability that the area of a triangle is smaller that 1/8 2001-12-21

Hoda pose la question :
Given unit square pick two points on adjacent sides of the square , what is the probability that the area of the resulting triangle is smaller that 1/8? I tried to tackle the problem by first sketching a square with the four vertices at (0,0), (1,1), (0,1) and (1,1). The answer seems to be the area under the curve y=0.25/x between 1 and 0, but how can you integrate such a function when ln0 is undefined? any help would be highly appreciated.
Andrei Volodin lui répond.

Normal lines 2001-12-11

Kristie pose la question :
Why are perpendicular lines called normal lines?
Chris Fisher lui répond.

Applied geometry 2001-11-02

Jenny pose la question :
Where can I find some hands-on activities for my Applied Geometry classes? I want to do more activities with them that allow us to get out of the classroom. However, I want to use activities that use only inexpensive equipment because I usually buy the equipment myself.
Walter Whiteley lui répond.

Who owns what pet? 2001-10-03

A parent pose la question :
Don, Frank, Jenny, and Ken each come from one state, either Alaska, Maine, Montana, or Oklahoma. They each speak one primary language, either English, french, Russian, or Spanish. And they each have one of four pets, a chinchilla, a dog, a hamster, or a turtle.
Figure out which language and what pet each of the four people have, using the following clues.
.
.
.

Judi McDonald lui répond.

300 pounds 2001-09-12

Cassie pose la question :
HOW MANY KILOS IS IN 300 POUNDS?
Penny Nom lui répond.

1996^1999 and 1999^1996 2001-07-29

Rajesh pose la question :
what is greater 1999¹⁹⁹⁷ or 1997¹⁹⁹⁹?
Chris Fisher lui répond.

Two log problems 2001-06-16

A student pose la question :
Hi..this is one of 9th grade student in Fort Worth TX. well..I am doing EPGY stuffs in my school right now..and.. me and my teacher had problems to solve some advanced logarithmic thing. so I searched some sites to solve these two questions

(log base 7 * 10) * (log base 10 * X ) = 2

log base 10 * (3x-4) + log base 12 * X
---------------------------------------------------
(log base 12 * 2) + (log base 12 * 5)

= log base 10 *4

Harley Weston lui répond.

Taking matches 2001-05-05

Mark pose la question :
Two piles of matches are on a table. A player can remove a match from either pile or a match from both piles. The player who takes the last match loses. If there are two players, how should you play?
Claude Tardif lui répond.

Genealogy 2001-03-22

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.

How can you prove a quadrilateral to be a parallelogram? 2001-03-16

Joy pose la question :
How can you prove a quadrilateral to be a parallelogram?
Walter Whiteley lui répond.

P vs NP problem 2001-03-01

Roy pose la question :
What math journals would publish a proposed solution to the P vs NP problem when the work has been done by an amateur mathematician who has no degree in math?
Claude Tardif lui répond.

Faces 2001-02-21

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.

Crossing the dessert 2001-01-29

Zach pose la question :
An Explorer needed to make a 5 day trip across a dessert. Each man with him could carry exactly 3 days food and water. For one man how many men will it take to cross the dessert?
Claude Tardif lui répond.

Derfs, Enajs and Sivads 2001-01-07

John and Norman pose la question :
All Derfs are Enajs. One-third of all Enajs are Derfs. Half of all Sivads are Enajs. One Sivad is a Derf. Eight Sivads are Enajs. The number of Enajs is 90. How many Enajs are neither Derf nor Sivad?
Penny Nom lui répond.

An integration problem 2000-11-30

A student pose la question :
If a>0 and the integral from b to 0 of 1/(1+x) equals 1/2 the integral from a to 0 of 1/(1+x), express "b" in terms of "a"
Claude tardif lui répond.

Transporting bananas 2000-10-18

Krystie pose la question :
A farm has 45 bananas, a man has to take a truck and transport 15 bananas to a market that is 15 miles away. Every mile he travels, he must eat a banana. I have to get at least one banana to the market
Penny Nom lui répond.

Where will we use this in the real world? 2000-10-11

Jane Ann Musgrove pose la question :
As a teacher of mathematics, I am always asked "Where will we use this in the real world?". I am seeking ideas/sites via the internet where students can find answers to this type of question. Can you help me?
To be more specific, right now I am interested in finding careers where the employees would use the concepts of "Radicals", "Matrices", and "Logarithms". This information will be used by students to make presentations to the class on their findings from internet searches.

Harley Weston lui répond.

Isolating an exponent 2000-09-24

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.

A proof that 1=2 2000-09-19

sporky pose la question :
Why does the proof for 1=2 not work?
x = 1
x² = 1
x = x²
1 = 2x (derivitive)
1 = 2(1)
1 = 2 ???

please tell me where the false logic is.

Walter Whiteley lui répond.

Selling chickens 2000-09-12

Rick pose la question :
A man raised chickens. He sold all but 8 of them. The first buyer bought 1/3 of all the chickens + 2/3 of a single chicken. The second buyer bought 1/3 of the remaining chickens + 1/3 of a single chicken. The third buyer bought 1/3 of the remainder + 2/3 of a chicken. How many chickens did the seller own before selling any? All chickens were alive and whole when the buyers received them.
Penny Nom lui répond.

Logs and trig functions 2000-09-12

Becky pose la question :
How do they get these answers?

log 8 + log 2 = ?
Answer is: log 16

For 0 degree < x < 90 degree, how many solutions are there for the equation 2sin x = cos x?
Answer: 1

Penny Nom lui répond.

LOG(LN(x)) = 1 2000-07-28

An algebra student pose la question :
LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1
SHOW COMPOSITION AND USE DEFINITION OF LOGS.
Harley Weston lui répond.

An equation involving x to the x 2000-07-22

Joy Peter pose la question :
I am joy, a teacher teaching Maths at the secondary level and while solving a sum came to this stage when i got x^x (1 + log x) = 0, by which we can conclude that x^x = 0 or 1 + log x = 0. If x^x = 0, than what should be the value of x? I feel that the value of x should then be 0 (zero) but then how do I explain this to the students as we also know that anything to the power of 0 is 1 but here 0 raised to 0 is 1. If this is not defined then how do I explain this?
Penny Nom lui répond.

Radioactive decay 2000-05-18

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.

The Village of Truth 2000-05-10

Sean Pearson pose la question :
Our teacher gave us a logic problem involving two villages: the village of truth, and the village of lies. The problem is in asking two guards the right question to gain entrance to the fenced compound the villages are in without being shot. Have you heard of this problem ?
Harley Weston lui répond.

Two calculus problems 2000-05-01

Kaushal Shah pose la question :
How Do WE Integrate the following Functions,

Integral xtanx dx
How was natural base "e" discovered and why e=2.7.......

Claude Tardif lui répond.

Logs 2000-04-12

Jessica pose la question :
Write as a single log 3ln x - 2ln(y+e) + 5ln(x-12) - 4ln y
Harley Weston lui répond.

Compounding continuously 2000-03-21

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.

Characteristic of a logarithm 2000-03-14

Andrew Strauss pose la question :
What is the characteristic of log base 18 of 1980 ?
Harley Weston 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.

Tennis doubles 2000-02-04

Brittany Allinson pose la question :
Cheri, Beth and Jacinta are daughters of Mr. Sullivan, Mr. Marchand, and Mr. Benoit. Four of these people are playing tennis doubles. Mr. Benoit's daughter and Mr. Sullivan are partners. Cheri's father and Mr. Marchand's daughter are also partners. There aren't any father/daughter combinations. Who is Cheri's father?
Penny Nom lui répond.

Logarithms 2000-01-18

Jennifer pose la question :
Hi I have a test tomorrow and I was wondering if you could help me with these two problems.

Explain how to express y in terms of x if log3y=4log3(2X)

The LN key on your scientific calculator is not working, but the ex and LOG keys are. Write directions for calculating a natural logarithm using the ex and LOG keys. Explain why these directions will get you the right answer.

Harley Weston lui répond.

Capacitor discharge rate 2000-01-09

Bill Phillips pose la question :
I need to be solve for t in the following rate problem for an electrical capacitor. Vr = E(e^-t/RC), e=nat. log 2.718 raised to the -t/RC power.
Harley Weston lui répond.

Three algebra problems 1999-12-28

Stephanie Branton pose la question :

If P represents the product of all prime numbers less than 1000, what is the value of the unit's digit of P?

Do any real numbers a and b exist such that: ln(a+b)=ln a + ln b? if so, what are they?

Define a function by: f(x)=1/1-x where x is not equal to 0,1. what is f(f(f(a)))?

Harley Weston lui répond.

Logarithms 1999-12-16

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.

Log Cancel 1999-12-03

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.

Two derivatives 1999-11-16

Gina Renicker pose la question :
The derivative of:
y=e^(xlnx) and y=x^{2arctan(x^1/2)}
Harley Weston lui répond.

Area of a circle and an inequality 1999-10-30

Adam Anderson pose la question :
I have two problems.
The first: prove that the area of a cirlce is pi times radius squared without using calculus.
The second: show that ln(x) < x - 1 for all x > 0.

Harley Weston lui répond.

Derivatives with logs 1999-10-26

Kate pose la question :
What is the derivative of 5 to the 5x-2 at x equals 0.8?
Harley Weston lui répond.

-log(a) 1999-10-22

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.

Solving using logs 1999-10-11

Rich Bolton pose la question :
Here's my question:
$541.39(1+i)¹⁵=784.09
Can you please show me how to do this?
Penny Nom lui répond.

Logic and mathematical logic 1999-10-06

Polly Mackenzie pose la question :
What is the difference between logic and math logic?
Walter Whiteley lui répond.

Jose and Arthur 1999-09-26

Joel Hammer pose la question :
Jose can run around the track in 40 seconds. Arthur runs with Jose but in the opposite direction. They meet every 15 second. How long will it take Arthur to make one trip around the track?
Denis Hanson lui répond.

Bales of hay 1999-09-13

Ivy pose la question :
You are given 5 bales of hay. Two bales are weighed at a time, which equal the following weights:
110, 112, 113,114,115,116,117,118,120,121. What does each individual bale weigh?
Harley Weston lui répond.

The three jugs problem 1999-09-02

Kent Lane pose la question :
I wonder if you could help me figure out this secondary Discrete Math Problem. I cannot figure out where this comes from.
Here's the question:
You have three containers. Container 1 is a three (3) liter container. Container 2 is a five (5) liter container. Container 3 is an eight (8) liter container that is full of liquid. The goal is to get 4 liters in one of the containers.
Stipulations: There are no marks on the containers to measure out the liquid.
All you know is that 1 is 3 l., 2 is 5 l., and 3 is 8 l. full of liquid.
Chris Fisher lui répond.

The Bellhop Problem 1999-08-29

Gerard O'Neill pose la question :
Three fellows going to a Math Conference book into a motel. "That will be $30.00" says the bellhop. Each fellow gives $10.00 and they go off to their room. The manager enters and says "That was a $25.00 room. Go and give them $5.00 back."
The bellhop heads off but thinks....."how am I going to split $5.00 between 3 fellows? Hey I will keep two dollars and give each guy a dollar." He does just that.......each fellow now paid $9.00 and the bellhop kept two. 3 X 9= 27 plus the bellhops two = $29.00 Where is the missing dollar?
Harley Weston lui répond.

Crossing the Bridge 1999-08-27

Debbie Walter pose la question :
If you have four people who need to cross a bridge in the dark with only one flashlight and only two of them can cross at a time and their speeds of crossing are as follows:

one person can cross it in one minute
one person can cross it in two minutes
one person can cross it in five minutes
and the slowest person can cross it in ten minutes
what is the shortest amount of time it would take to get all four across the bridge?
Penny Nom lui répond.

A log problem 1999-05-08

N. Lam pose la question :
I don't understand how to do this type of question:
log(base absolute value x)y = log(base abs.val.x)2 + log(base abs.val.x)(Cos x)
How do you graph the equation also, if -2(3.14)<=x<=2(3.14)
Harley Weston lui répond.

A 1999-05-02

Leah pose la question :
a=b
a^2=ab
a^2+b^2=ab-b^2
(a-b)(a+b)=b(a-b)
a+b=b
b
2=1
why is this proof wrong?
Penny Nom lui répond.

A Series 1999-04-20

Deepak Shrestha pose la question :
Given the sequence an=e^(-n*Ln(n)), does the series converge and why?
Harley Weston lui répond.

Converting Metric Measurements 1999-04-08

Rick pose la question :
Do you have any simple explanations for converting Metric measurements to other Metric measurements?? What helpful hints do you also have for a 5th Grader...
Penny Nom lui répond.

Universal Area 1999-04-08

Karen Richardson pose la question :
I need a formula for area that works for a square, a rectangle, a parallelogram, a trapezoid, and a triangle.
Jack LeSage, Chris Fisher and Harley Weston lui répond.

Circumference and Area 1999-02-16

Natalie pose la question :
finding the circumference of a circle? formula
finding the area of a parallelogram? formula

Penny Nom lui répond.

John Napier and e 1999-02-06

Shimin pose la question :
I would like to ask about the exact definition of e, its history (like how John Napier came about discovering it) and its applications in problems and real life situations. Thank you!
Chris Fisher lui répond.

Logs 1998-10-21

Benny pose la question :
What does log means? How come we have to use log
Chris Fisher lui répond.

An Implication 1998-09-27

Danielle Evans pose la question :
i am in my second year of math for the liberal arts and a problem has be terribly confused..
can you answer this
[(p --> q) ^ (q --> p)] --> (p <--> q)
is this an implication??
i would love to hear your answer
thank you...
danielle evans
Chris Fisher lui répond.

Two Problems 1998-07-28

James Pulver pose la question :
How do you solve these problem? If log abc=16 and log ac=12 , find b. (The logs are log base 10.)
and
If a and b are real numbers, i^2 = -1 and (a+b)+5i=9+ai what is the value of b?
Jack LeSage lui répond.

A Logic Problem 1998-06-07

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.

Isosceles trapezoid formula 1998-05-12

Donna McMullin pose la question :
The teacher of Gifted and Talented Math has been trying to locate the formula for anisosceles trapezoid and we can't find it anywhere. Could it be the same formula for that of a parallelogram ? Please advise.
Walter Whiteley lui répond.

Logic and Matrix Instruction 1998-04-24

Robin Booker pose la question :
I need assistance with instruction strategies to teach the construction of a matrix, solving a logic problem. Providing instruction in the construction of a simple matrix , no problem. However, I stumpted on this one.
Five players were chosen as All Stars at the basketball banquet. Based on the following clues, find the player's name, team, uniform color and number of points scored....
Harley Weston lui répond.

A Problem with Logs. 1997-11-26

Herman pose la question :
Given log 24=a, log 25=b and log 26=c, express log 39 in terms of a, b and c.
Penny Nom lui répond.

Natural Logarithm Functions 1997-04-23

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.

The Division Bracket. 1997-04-09

Judy Riley pose la question :
A fellow teacher recently asked if I remembered the exact word for a division bracket (not the symbol with dots, the horizontal line in a fraction, or a solidus). I couldn't. Can you help?
Walter Whiteley and Harley Weston lui répond.

Smith, Rodriguez and Jones 1996-11-07

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.

Pronunciation 1996-03-05

Todd Stienhauser pose la question :
Is 123.4 pronounced "one hundred and twenty three and four tenths"or "one hundred twenty three and four tenths"?
Penny Nom lui répond.

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Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.