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

A. 53
B. 25
C. 625
D. 125


Answer: D

Mathematics

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Solve.In the study of alternating electric current, capacitive voltage is given by , where f is the number of cycles per second, i is the maximum current, and t is the time in seconds. Solve the equation for t.

A. t = 2?f cos 
B. t =  arccos 
C. t = 2?f arccos 
D. t =  arccos 

Mathematics

Factor by grouping. If prime, so state.x3 - 7x2 + 3x - 21

A. (x + 7)(x2 + 3) B. (x - 7)(x2 + 3) C. (x - 7)(x2 + 7) D. (x - 21)(x2 - 7x + 3)

Mathematics

Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation  R = 4ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.(a) Suppose that a concentration of alcohol in the blood of 0.09 results in a 14% risk  of an accident. Find the constant k in the equation.(b) Using this value of k, what is the risk if the concentration is 0.014?(c) Using the same value of k, what concentration of alcohol corresponds to a risk of 100%?(d) If the law asserts that anyone with a risk of having an accident of 12 or more

should not have driving privileges, at what concentration of alcohol in the blood should a driver be arrested and charged with a DUI? What will be an ideal response?

Mathematics

Graph the equation.x - 2 = 0

A.

B.

C.

D.

Mathematics