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Proving a summation formula by induction |
2006-04-19 |
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Sharon pose la question :
Prove by induction that the sum of all values 2^i from i=1 to n equals 2^(n+1) - 2 for n > 1.
Stephen La Rocque lui répond. |
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Equation of a line in Ax + By = C form |
2006-04-19 |
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Christopher pose la question :
How do you write the equation of a line with a slope of 3/8 and passing through (-4,6) in Ax+By=C form?
Stephen La Rocque lui répond. |
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How much money can I borrow if I have $5 000 for a deposit? |
2006-04-19 |
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Chris pose la question :
I have a sum of cash that I want to use as a deposit ($ 5 000) and a lender will lend me 65% of the purchase price. How do I calculate the maximum value I can borrow?
Stephen La Rocque lui répond. |
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Which has more pizza? |
2006-04-19 |
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Kristine pose la question :
Which has more area: a round pizza that is 16 inches in diameter or three square pieces of pizza that are 8.5 inches on each side?
Stephen La Rocque lui répond. |
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Arithmetic and Geometric Sequences |
2006-04-19 |
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Skye pose la question :
If the 1st, 4th, and 8th terms of an arithmetic sequence are consecutive terms in a geometric sequence, find the common ratio of the geometric sequence.
Stephen La Rocque lui répond. |
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How many numbers are relatively prime with 250? |
2006-04-19 |
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David pose la question :
How many positive integers less than or equal to 250 are relatively prime with 250?
Stephen La Rocque lui répond. |
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Reverse percentage |
2006-04-19 |
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Mike pose la question :
How would I calculate a reverse percentage?
Let me give you an example. I have two values that calculate to a success rate of 93.32. Total=1546051 Failures=103302. (1546051-103302)/1546051=93.32% success.
Now how much would I need to increase the total value to get the success up to 95%?
Stephen La Rocque lui répond. |
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How do you round off 89,100? |
2006-04-19 |
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Jeannie pose la question :
My home work says to round each number to the place of the underlined digit. It has 89,100. The underlined number is 9. What do I do?
Stephen La Rocque lui répond. |
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Finding c in 4x=10-cy |
2006-04-19 |
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Jennifer pose la question :
A solution of the equation 4x=10-cy is (5,2). What is the value of c?
Stephen La Rocque lui répond. |
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Cubic yards of landscape stone |
2006-04-19 |
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Janet pose la question :
I need to spread landscape stone around my pool. A landscaper said I need 16 yards. What is the area of a cubic yard if I want the stone 3" deep?
Stephen La Rocque lui répond. |
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Three circles inside a larger circle |
2006-04-16 |
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Meghan pose la question :
Given three congruent circles tangent to one another (radii = 1), what is the radius of a circle circumscribed around them?
Stephen La Rocque lui répond. |
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Mayan multiplication |
2006-04-16 |
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Marca pose la question :
I'm researching the Mayans, and my advisor, Dr. McDonald, stated that you may know whether the Mayans knew how to multiply. I'm finding conflicting information on the internet, and anything you could provide would be greatly appreciated.
Chris Fisher lui répond. |
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Volume of a tennis ball can |
2006-04-16 |
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Jon pose la question :
Tennis balls are generally packaged in circular cylinders that hold 3 balls each. The diameter of a tennis ball is 6.5 cm. Find the volume of a can of tennis balls.
Stephen La Rocque lui répond. |
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How many arrangements are there? |
2006-04-16 |
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Jim pose la question :
Can you tell me how many different combinations there are using 3 letters and 4 numbers. Letters first then numbers, example -aaa0001, aaa0002, aaa0003,-----------baa0001, baa0002, ------zzz9999.
Stephen La Rocque lui répond. |
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Overlapping area of two circles |
2006-04-15 |
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Jade pose la question :
Given two identical circles where the radius (6 units) is the distance between the centers, what is the area of the overlapping region?
Stephen La Rocque lui répond. |
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