Solve the problem.The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 55 feet and  walls requires  of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 35 feet and 8-foot walls. 

A. 5.6 quarts
B. 280 quarts
C. 28 quarts
D. 2.8 quarts


Answer: D

Mathematics

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Calculate the mean of the set of data values. If necessary, round to one more decimal place than the data values have. The retirement ages, in years, of nine employees of a software company: 

A. 57.3 yr B. 58.0 yr C. 56.6 yr D. 57.9 yr

Mathematics

Provide an appropriate response.Does the graph of f(x) =   have a vertical tangent at the origin? Give reasons for your answer.

What will be an ideal response?

Mathematics

Find the arc length function s(t) for the curve defined by r(t) =costi+sintj+k for t?0. Then use this result to find a parametrization of C in terms of s.

What will be an ideal response?

Mathematics

Solve the problem.If a rock is thrown vertically upward from the top of a building 80 feet high with an initial velocity of 64 feet per second, the height, h, above ground level after t seconds is given by h = -16t2 + 64t + 80, where h is in feet and t is in seconds. How many seconds will it take the rock to hit the ground?

A. 1 sec B. 2 sec C. 5 sec D. 4 sec

Mathematics