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A trough is 3 meters long, 1.5 meters wide, and 2 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2 meters, and base, on top, of length 1.5 meters). The trough is full of water (density ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
What would you do if supply exceeded demand? What if demand exceeded supply?
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
A dealer offers a computer software program whose list price is $500 at a 19% discount. She will give an extra 3% discount if paid in cash. What is the selling price if payment is made in cash?
A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
a rectangular garden has a perimeter of 184 feet. the length of the garden is 22 feet more then the width. what are the dimensions of the garden?
Austin invested $12,000 in an account at 11% compounded quarterly. Find the amount in Austin's account after a period of 6 years.
Why is it important to be able to remove parentheses? Why is it important to be able to combine like terms? Provide examples that illustrate both of these processes.
Determine the digits corresponding to each letter. Digits may not be used for more than one letter. What problem solving strategy did you use in solving this problem? DAN+NAN=NORA
The messenger goes by land to a dock and then travels on a river against a current of 4 mi/h. He reaches the destination in 4.5 hours and then returns to the starting point in 3.5 hours. How far did the messenger travel by land and how far by wate..
if a rectangle is redrawn so that its area remains constant but its perimeter increases, what happens to the shape of the rectangle?
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