Solve the problem.The area of a rectangular piece of cardboard shown is 688 square inches. The cardboard is used to make an open box by cutting a 4-inch square from each corner and turning up the sides. If the box is to have a volume of 1120 cubic inches, find the dimensions of the cardboard that must be used.

A. 12 inches by 39 inches
B. 8 inches by 31 inches
C. 20 inches by 47 inches
D. 16 inches by 43 inches


Answer: D

Mathematics

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Use the range rule of thumb to approximate the standard deviation.496, 598, 503, 528, 565, 601, 576, 543

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Solve the problem.Find the point on the curve of intersection of the paraboloid    and the plane    that is closest to the origin.

A. (1, 1, -1) B. (1, 1, 1) C. (-1, 1, 1) D. (1, -1, 1)

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Graph f by hand by first plotting points to determine the shape of the graph.f(x) = -3

A.

B.

C.

D.

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Solve the problem.The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in this roof plan. Round approximations to the nearest tenth.   16 ft

A. 9 ft B. 160 ft C. 12 ft D. 17.9 ft

Mathematics