Solve the problem.A swimming pool is 23 m long and 8 m wide, with a bottom that slopes uniformly from a depth of  at one end to a depth of 2 m at the other end (see figure). Assuming the pool is full, how much work is required to pump the water to a level 0.4 m above the top of the pool? Round to one decimal place when appropriate.

A. 5,529,813.3 J
B. 5,048,960 J
C. 12,983,040 J
D. 10,578,773.3 J


Answer: D

Mathematics

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Provide an appropriate response.If Z has a standard normal distribution, find P(Z < -1.23).

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the system by the addition method.x2 - 2y2 = 23x2 + 2y2 = 14

A. {(1, 2), (-1, 2), (1, -2), (-1, -2)} B. {(2, 1), (2, -1), (-2, 1), (-2, -1)} C. {(-1, 2), (1, -2)} D. {(2, 1), (-2, -1)}

Mathematics

Find the appropriate linear cost or revenue function.A cable TV company charges $28 for the basic service plus $5 for each movie channel. Let C(x) be the total cost in dollars of subscribing to cable TV, using x movie channels. Find the linear cost function.

A. C(x) = 28x + 5 B. C(x) = 28x - 5 C. C(x) = 5x - 28 D. C(x) = 5x + 28

Mathematics

Solve the problem.If an object is propelled upward from a height of 144 feet at an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation  After how many seconds does the object hit the ground?

A. 11 sec B. 8.0 sec C. 4.5 sec D. 9 sec

Mathematics