Use the rules for exponents to simplify the expression. Write the final answer in exponential form when necessary. Assume that all variables represent positive values. (x11/15)3/7

A. x1/2
B. x11/105
C. x11/35
D. x11/5


Answer: C

Mathematics

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Solve the problem.The sprocket assembly on a bicycle consists of a chain and two sprockets, one on the pedal and the other on the rear wheel. If the sprocket on the pedal is  in diameter, the sprocket on the rear wheel is  in diameter, and the rear wheel is  in diameter, how fast is the bicycle traveling in miles per hour when the cyclist is pedaling at the rate of 

style="vertical-align: -4.0px;" /> per second? Round your answer to the nearest tenth mph. A. 4.3 mph B. 3.3 mph C. 8.3 mph D. 6.3 mph

Mathematics

Simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive.(9x3/4)(3x2/3)

A. 27x3/4 B. 27x17/12 C. 27x17/7 D. 27x5/12

Mathematics

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 5j, w = i + j

A. v1 = 3(i + j), v2 = -2i + 2j
B. v1 = (i + j), v2 = - i + j
C. v1 = 6(i + j), v2 = -4i + 4j
D. v1 = 3(i + j), v2 = 2i - 2j

Mathematics

Solve the inequality symbolically. Express the solution set in interval notation.-6(2z + 4) < -18z - 12

A. (-?, -18) B. (2, ?) C. (-?, 2) D. (-18, ?)

Mathematics