Simplify the exponential expression. Write the result using only positive exponents.

A. r6
B.
C.
D. r12


Answer: C

Mathematics

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Find the surface area of the figure. Use 3.14 as an approximation for ?. Round your result to the nearest tenth.A sphere with r =  in.

A. 2.4 in.2 B. 2.1 in.2 C. 3.2 in.2 D. 9.6 in.2  

Mathematics

Verify the identity.tan 2 ? (1 + cos 2?) = 1 - cos 2?

What will be an ideal response?

Mathematics

Solve the problem.The radius of a sphere is given by the formula , where S is the surface area. If the surface area is 14,607 square inches, what is the radius? Use 3.14 for ?, and round your answer to the nearest tenth of an inch.

A. 0 in. B. 34.1 in. C. 60.4 in. D. 107.1 in.

Mathematics

Solve the problem.Sue wants to put a rectangular garden on her property using 66 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. A(x) = 32x - x2
B. A(x) = 33x2 - x
C. A(x) = 33x - x2
D. A(x) = 34x - 2x2

Mathematics