Rewrite the expression with a rational exponent.()6

A.
B. (8x2y)5/6
C.
D. (8x2y)6/5


Answer: D

Mathematics

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Find the absolute extreme values of the function on the interval.f(x) = ln(x + 2) + , 1 ? x ? 6

A. absolute minimum value is -1 at x = -1; absolute maximum value is ln 8 +  at x = 6
B. absolute minimum value is ln 4 +  at x = 2; absolute maximum value is ln 8 +  at x = 6
C. absolute minimum value is ln 4 +  at x = 2; absolute maximum value is ln 3 + 1 at x = 1
D. absolute minimum value is ln 3 + 1 at x = 1; absolute maximum value is ln 8 +  at x = 6

Mathematics

Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the width of the pool. Estimate the volume of water in the pool using the Simpson's Rule.

A. 12,300 ft3 B. 7000 ft3 C. 10,500 ft3 D. 9300 ft3

Mathematics

The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the graph.

A. y = -4 sin (2x)
B. y = -4 cos 
C. y = 4 cos (2x)
D. y = -4 cos (2x)

Mathematics

Solve the problem.The maximum distance d in kilometers that you can see from a height h in meters is given by the formula  How far can you see from the top of a  building? (Round to the nearest tenth of a kilometer.)

A. 67.9 km B. 19.4 km C. 703.4 km D. 36.3 km

Mathematics