Solve.The time t required to empty a tank varies inversely as the pumping rate r. A pump can empty a tank in 70 minutes at the rate of 700 kiloliters per minute. How long will it take the pump to empty the tank at the rate of 1500 kiloliters per minute? Round your answer to the nearest tenth.

A. 32.7 min
B. 1.5 min
C. 150.0 min
D. 37.5 min


Answer: A

Mathematics

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Graph the parabola.x = -4y2

A.


B.

C.

D.

Mathematics

Graph the scalar product of the complex number shown in the graph and the given number.-2a = 1 - 2j

A.

b = -2(1 - 2j)
B.

b = -2(1 - 2j)
C.

b = -2(1 - 2j)
D.

b = -2(1 - 2j)

Mathematics

Approximate the value of the definite integral. ? ? Use the trapezoidal rule. Please give the answer to four decimal places. ? Use the Simpson's rule. Please give the answer to four decimal places.

What will be an ideal response?

Mathematics

Solve the problem.Sue wants to put a rectangular garden on her property using 60 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.

A. = 30x2 - x
B. = 31- 2x2
C. = 30- x2
D. = 29- x2

Mathematics