Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.


Answer: C

Mathematics

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Find the volume of the circular cone. Use 3.14 or  for ? as indicated and round as indicated. Use 3.14 for ?. Round to the nearest hundredth.

A. 4521.6 mm3 B. 75.36 mm3 C. 1130.4 mm3 D. 3391.2 mm3

Mathematics

Rationalize the denominator.

A.
B.
C.
D.

Mathematics

Factor.6k3 + 384

A. 6(k + 24)(k2 - 24k + 96) B. 6(k + 4)(k2 + 4k + 16) C. 6(k + 4)(k2 - 4k + 16) D. 6(k - 4)(k2 + 4k + 16)

Mathematics

The earth rotates through one complete revolution every 1,440 minutes. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 1,440 minutes. Find the angular velocity of a person standing on the equator. ? If the answer needs rounding, round it to five decimal places. ? __________ rad/min

What will be an ideal response?

Mathematics