Solve.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 65 feet and  walls requires  of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 40 feet and 10-foot walls. 

A. 400 quarts
B. 4 quarts
C. 40 quarts
D. 8 quarts


Answer: B

Mathematics

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Solve the problem.The formula for the up-and-down motion of a weight on a spring is given byS = a sin twhere a is the radius of the circle, k is the spring constant, m is the mass, and t is the time. Solve the equation for t.

A. t =  sin 
B. t =  arcsin 
C. t =  arcsin 
D. t =  sin 

Mathematics

Find the composition.f(x) = 8x - 4; g(x) = 8x2 + 4x + 4Find (g ? f)(-9).

A. 4924 B. -908 C. -836 D. 45,908

Mathematics

Find the prime factorization of the composite number.126

A. 22 ? 32 ? 7 B. 14 ? 32 C. 2 ? 32 ? 7 D. 2 ? 3 ? 7

Mathematics

Provide an appropriate response.Without graphing, explain the differences between the graphs of    y = (x - 2)2, and y = (x + 2)2.

What will be an ideal response?

Mathematics