Convert the radical expression to its rational exponent form and then simplify. Assume that all variables represent positive numbers.

A.
B. 31/4x1/4
C. 31/12x1/12
D. 31/3x1/3


Answer: D

Mathematics

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Simplify the expansion.(3 ? 103) + (3 ? 102) + (0 ? 101) + (6 ? 100)

A. 336 B. 33,060 C. 3306 D. 3360

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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2

A.  = 0,  = 
B.  = 0,  = 32
C.  = 16 = 0
D.  = 0,  = 16

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Solve the problem.A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is  by  and the area of the rug is 112 square feet, how wide will the border be?

A. 4 ft B. 5 ft C. 3 ft D. 5.5 ft

Mathematics

In the circuit below, the frequency is increased from 100 Hz to a maximum value. At what frequency does VO reach the cutoff frequency if R = 100 ê and C = 0.01 æF?



a. 2.53 KHz
b. 159.2 KHz
c. 8.11 KHz
d. 14.33 KHz
e. 11.93 KHz

Mathematics