Solve the problem.The disk (x - 4)2 + y2 ? 9 is revolved about the y-axis to generate a torus. Find its volume. (Hint: ?, since it is the area of a semicircle of radius 3.)

A. 36?
B. 72?2
C. 18?2
D. 36?2


Answer: B

Mathematics

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Perform the indicated operation.-2 + (-6)

A. -8 B. -4 C. 8 D. 4

Mathematics

Solve the problem.A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a particular material is $d, whereas the storage of that material is x dollars per unit stored per day. (One unit is the amount required to produce one product). How much should be delivered every x days to minimize the average daily cost in the production cycle between deliveries?

What will be an ideal response?

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression. (-2)2(-2)3

A. -64
B. -32
C.
D.

Mathematics

The figure below is a square ABCD with center O. (M, N, P, and Q are the midpoints of the sides.) Which of the following rotations is a symmetry of the square?

A. a 60° clockwise rotation with center O B. a 90° clockwise rotation with center A C. a 90° clockwise rotation with center O D. a 90° clockwise rotation with center P E. none of these

Mathematics