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You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved perfectly into the water. However, now that you want to swim, you must remove all of the Kool-Aid contaminated water. The swimming pool is round, with a 10.5 foot radius. It is 12 feet tall and has 5 feet of water in it.
How much work is required to remove all of the water by pumping it over the side? Use the physical definition of work, and the fact that the weight of the Kool-Aid contaminated water is sigma = 65.9 lbs/ft^3 Don't forget to enter the correct units. (You may enter lbf or lb*ft for ft-lb.)
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
If you have 452 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answ..
A 25-by-33-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the m..
Run the lab_03_01.sql script in the attached file to create the SAL_HISTORY table. Display the structure of the SAL_HISTORY table.
In a state of 10 million people, 25% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.
Suppose there is a hole in the can of paint and 18 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
A rebtangular reservior contains 42000 litres of water.find the depth of water in the reservior if its base measures 6m by 3.5m.
Create an indicator variable for identical twin.
A ball drops from a height of 21 feet. Each time it hits the ground, it bounces up 80 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
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