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A complex cubic polynomial |
2008-03-26 |
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From wael: how do we solve in C the following equation:
z^3 + (5i-6)z^2 + (9-24i)z + 13i + 18 = 0 if it admits a pure imaginary root? Answered by Harley Weston. |
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2 tan theta /(1 + tan^2 theta) = sin 2theta |
2008-03-25 |
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From Charmaine: I'm having trouble on where to begin proving identities. I must prove that
(2 tan theta / 1 + tan^2 theta) = sin 2theta Answered by Penny Nom. |
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Painting a mural |
2008-03-25 |
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From JUAN: THERE IS AN AREA TO BE PAINTED WHICH IS 6 FEET LONG AND 3 FEET WIDE IT HAD BEEN DIVIDED INTO 1 FT SQUARES. Two students will paint each square how many students will work on the mural? Answered by Penny Nom. |
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The area of a rectangle |
2008-03-25 |
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From Raphael: What is the area of rectangle that measures 7 yards by 23 yards Answered by Penny Nom. |
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A function satisfying f(x) + 2f(1/x) = x |
2008-03-25 |
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From Joan: Let f be a function satisfying f(x) + 2f(1/x) =x for all real numbers (x does not equal 0)
a) Find f(1) justify your answer
b) Find f(2) justify your answer Answered by Penny Nom. |
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The length of the ramp on a motorcycle trailer |
2008-03-25 |
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From Joshua: I am currently building a motorcycle trailer. I am trying to figure out the length of the ramp so that the bikes don't scrap the trailer/ramp as they are loaded. This is the info I have: the motorcycle is 6" off the ground in the center, the point where the tires touch the ground are 80" apart, the trailer deck is 20" high. How do I figure the length of the ramp? Please show equation so I have for future reference with different measurements. Answered by Stephen La Rocque and Harley Weston. |
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The height of a hemisphere |
2008-03-25 |
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From Rebekah: what is the height of a hemisphere with a volume of 60 ft cubed? Answered by Stephen La Rocque. |
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Light years to miles |
2008-03-24 |
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From Robert: HOW MANY MILES ARE THERE IN 7.5 BILLION LIGHT YEARS. Answered by Penny Nom. |
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The decimal equivalent of a fraction |
2008-03-24 |
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From Mario: What is the decimal equivalent of the fractions 5/8? Answered by Penny Nom. |
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Two consecutive odd integers |
2008-03-24 |
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From Jarrod: the sum of two consecutive odd integers is 24. Find the two integers Answered by Stephen La Rocque. |
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A word problem about numbers |
2008-03-24 |
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From kathy: five times a number minus a second number is 6. The sum of the numbers is 12. find the numbers Answered by Penny Nom. |
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(x-3)/(x-cube+6x-square-25x-150) |
2008-03-24 |
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From rafia: (x-3)/(x-cube+6x-square-25x-150) Answered by Penny Nom. |
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A hydraulic cylinder |
2008-03-24 |
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From james: I am trying to adjust the placement of a hydraulic cylinder that raises a dump bed up from the frame of a truck.
How long would the cylinder (height of a triangle) have to be to raise the bed to a 70 degree angle?
The base from pivot to cylinder is 132.5 inches. Answered by Stephen La Rocque. |
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The volume of a footing |
2008-03-23 |
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From Brett: You need to pour an 8"x16" footing that is 100ft. long. At a cost of
$65 per cubic yard, how much will this cost?
(A) $205 or less
(B) more than $205, but less than $220
(C) $220 to $235
(D) more than $235 Answered by Penny Nom. |
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The volume of a dam |
2008-03-23 |
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From JD: How many cubic yards of soil are required to build a small Pond Dam:
100ft wide bottom x 300ft long x 15ft High with a 14ft wide Flat top Answered by Harley Weston. |
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