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Two tangent lines to a parabola |
2008-10-26 |
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From Marcus:
Show that the tangent lines to the parabola y = ax^2 + bx + c at any two points with x-coordinates p and q must intersect at a point whose x-coordinate is halfway between p and q.
Answered by Penny Nom. |
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The height of a tank |
2008-10-26 |
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From Kyle:
If a water tank holds 750 cubic meters of water and it is 15 metres long and 10 metres wide how many meters tall is it ?
Answered by Penny Nom. |
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The sequence 49,48,46,43,39... |
2008-10-26 |
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From Kyle:
What number comes next in the series 49,48,46,43,39...?
Answered by Stephen La Rocque. |
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The sequence 6,1,6,2,6,4,6,8,6, |
2008-10-26 |
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From Kyle:
What number comes next in the series 6,1,6,2,6,4,6,8,6,?
Answered by Stephen La Rocque. |
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The amount of diesel fuel in a tank |
2008-10-26 |
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From Mike:
I have an cylinder shaped oil tank that holds approx. 283 gals of diesel fuel. The tank is laying on on its side, (like taking a garbage can and laying it down on its side). What is the formula to calculate how much oil is in the tank at any given time. If the tank was sitting on end it would be easy to figure out, but it is not.
Answered by Stephen La Rocque. |
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An irregular, truncated pyramid |
2008-10-24 |
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From phillip:
Hi, I have a rectangular base to square top, pyramid shape to fabricate out
of steel plate (4 sections). The base is 3000mm by 800mm, the height is
1100mm and the top is 350mm square. What I need to know is the
lengths of the sides of the plate(were they meet vertically). Hope ive made
it clear enough. Thanks Phil.
Answered by Stephen La Rocque. |
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Water is leaking from a conical tank |
2008-10-24 |
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From Kimberly:
Water is leaking out of an inverted conical tank at a rate of 12000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
Answered by Stephen La Rocque. |
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Order the #s from least to greatest |
2008-10-24 |
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From morgan:
order the #s from least to greatest
18 7/12, 18 2/3,
183/4, 18 1/3
Please help
Morgan
Answered by Stephen La Rocque. |
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Put in lowest terms 6a^2c/8ab |
2008-10-24 |
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From hana:
put in lowest terms 6a^2c/8ab
Answered by Stephen La Rocque. |
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Sin(theta) = -3 |
2008-10-24 |
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From jonathan:
how can i solve this if the only given is sin theta= -3
tan theta=
cos theta=
cot theta=
co secant theta=
secant theta=
can you teach me and show how to solve??
Answered by Stephen La Rocque. |
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A 30% markup |
2008-10-24 |
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From Angel:
If i have a total price of $15171.00 and we marked it up 30%. What was the original price?
Answered by Penny Nom. |
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Polygons with two names |
2008-10-24 |
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From Connor:
Why do some polygons have two names and what are they?. Thanks
Answered by Harley Weston. |
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A remainder of 8 |
2008-10-23 |
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From Kathy:
When dividing a 3 digit number by a 1 digit number, for what divisors can you get a remainder of 8? is the question in my son's math book. After searching this web site, how do you explain an answer so that a ten year old can understand? I somewhat understand the answers given, but am afraid my son might not understand the answer? Help???
Answered by Penny Nom. |
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Taxes in Taxylvania |
2008-10-22 |
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From April:
Taxylvania has a tax code that rewards charitable giving. If a person gives p% of his income to charity, that person pays (35-1.8p)% tax on the remaining money. For example, if a person gives 10% of his income to charity, he pays 17 % tax on the remaining money. If a person gives 19.44% of his income to charity, he pays no tax on the remaining money. A person does not receive a tax refund if he gives more than 19.44% of his income to charity. Count Taxula earns $27,000. What percentage of his income should he give to charity to maximize the money he has after taxes and charitable giving?
Answered by Harley Weston. |
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Antiderivative of 1/(x(1 - x)) |
2008-10-22 |
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From Matt:
derivative of dx/(x(1-x))
From what I've seen I should break apart the equation as such
derivative of dx/x - dx/(1-x)
and then get the 2 corresponding log functions.
If that is correct why does this factoring work, if that is incorrect what is the proper way to find the derivative.
Answered by Harley Weston. |
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