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The Shaw family wants a new swimming pool |
2008-01-26 |
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Mable pose la question : The Shaw family wants a new swimming pool in their backyard. The pool company stated that the first job is to remove dirt from an area 30ft x 60ft. Next, a hole must be dug 25ft x 55ft x an average of 6ft deep. The finished pool would measure 20ft x 50ft x 5ft deep (average). How many square yards of dirt must be removed from the lawn?How much would it cost the Shaw family for dirt removal at $46 a cubic yard (nearest cubic yard)? Stephen La Rocque lui répond. |
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Cantor's diagonal argument |
2008-01-26 |
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David pose la question : Cantor's theory using a diagonal across a list of real numbers to proven uncoutability has always puzzled me.First in base ten, it feels like hocus pocus so I began thinking of the Boolean numbers as truer representations of place value (on,off). Secondly his list was always arbitrary or so I recollect. Therefore, I suggested using a seriesA=.10000....,B=.01000. C=.11000, etc.
Any diagonal is already located among the numbers listed. My only alteration is that since the final digit is always unrepresentably either one or zero, but it must be one or the other, I make an assumption that if x= .abc...1 and y= .abc...2 the only two possibilities and I choose to count F=x+y then then the numbers are countable= Z=sumFi,where I=2+2^2+2^3...
I hope this sketch is enough description, I asked Rudy Rucker more formally but got no mathematical response, someone else gave me some tale about slippery epsilon. What do tyou think of recasting his proofs in more rigorous form?
David French Claude Tardif and Walter Whiteley lui répond. |
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Sum of factorials |
2008-01-26 |
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Emily pose la question : What is the tens digit in the sum 7! + 8! + 9! ... + 2006! Stephen La Rocque lui répond. |
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A car goes 15 miles on a gallon of gas |
2008-01-26 |
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Raven pose la question : A car goes 15 miles on a gallon of gas when it goes 50mph. When the car is driven 60mph it only goes 80% as far.
How far will it travel on a gallon of gas at 60mph?
I solved this two ways:
15 * .80 = 12 It goes only 12 miles or x/60 = 15/50 which is x = 12
This answer in the book is 4/5 * 15 = x. Then x = 12
How did they come up with 4/5? Penny Nom lui répond. |
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Inflection points |
2008-01-25 |
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Armando pose la question : Hi, Im trying to write a program that takes an equation ( f(x) = 0 ) and returns a list of the inflexion points in a given interval.
there must be (I think) a mathematical method or algorithm to do this, probably involving the (second) derivate of the function.
However I have not found such a method yet. Any help on this will be much appreciated. Stephen La Rocque and Harley Weston lui répond. |
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O.T.T.F.F.S.S |
2008-01-25 |
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Omar pose la question : What is the next letter in the following sequence:
O.T.T.F.F.S.S Penny Nom lui répond. |
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Linear feet to metres |
2008-01-25 |
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Jillian pose la question : i have a measurement of something in linear feet. i dont know what a linear foot is so i want to convert it to meters to have an idea.
how do i convert. Penny Nom lui répond. |
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A developer subdivides a plot |
2008-01-25 |
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Katherine pose la question : A developer buys a plot of land that is 48,000 sq.feet. She sets aside 1/2 of it to bulid a house for herself, then divides the remaining half into 3 equal plots. Find the area of each lot. Penny Nom lui répond. |
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Tossing a coin |
2008-01-25 |
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Christopher pose la question : Jack tosses a coin 30 times. How many times would you expect the coin to land tails side up? Harley Weston lui répond. |
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The integral of Sqrt(sin x) |
2008-01-24 |
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tariq pose la question : find integration
Sqrt(sinx) dx , from x=bi/4 to 3bi/4 Harley Weston lui répond. |
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The standard form of a line |
2008-01-24 |
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James pose la question : I need to put it in Standard from ax+by=c the problem is
(-4,0); parallel to y=-2+1 how can I put this in Standard from Stephen La Rocque lui répond. |
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Finding the area of an isosceles triangle given one angle and the inradius |
2008-01-24 |
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Saurabh pose la question : Given an isosceles Triangle, whose one angle is 120 and inradius is √3. So area of triangle is? Stephen La Rocque lui répond. |
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A relationship between numbers |
2008-01-24 |
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Robyn pose la question : Study these problems: ? 2=4 ? 5=25 ? 9=81
1. Explain what ? means (hint there are two answers).
2. What number is equal to ? 6
3. What number does ? 12 represent? Stephen La Rocque and Penny Nom lui répond. |
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An integral |
2008-01-24 |
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Meghan pose la question : Evaluate the indefinite integral of (x^3 +1)^(1/3) * x^5 * dx. Brennan Yaremko lui répond. |
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Three consecutive odd integers |
2008-01-24 |
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daniel pose la question : find three consecutive odd integers such that three times the second minus the third is 11 more than the first.
help! i have x+1, x+3, x+5 as my 3 odd integers is this correct its been a while. Penny Nom lui répond. |
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