Solve the exponential equation and approximate the result, correct to three decimal places.(3.3)x = 48

A. 3.2301
B. 3.3658
C. 3.2547
D. 3.2424


Answer: D

Mathematics

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Solve the problem.Find the volume interior to the inverted catenary kiln (an oven used to fire pottery) shown in the figure. Give an exact answer in terms of logarithms. 

A. 7(3 ln(3 + ) - )
B. 14(3 ln(3 + ) + )
C. 42 ln(3 + ) - 
D. 14(3 ln(3 + ) - )

Mathematics

Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 

A. f(x) =  +  - (3 sin x - sin 2x + . . .)
B. f(x) =  +  - (5 sin x - sin 2x + . . .)
C. f(x) =  -  + 
D. f(x) =  +  - (3 sin x - sin 2x + . . .)

Mathematics

Use a calculator to find the acute angle ? (to the nearest tenth of a degree) that satisfies the equation.? = tan-1 ( 1.9092997)

A. 117.6° B. 62.4° C. 27.6° D. 242.4°

Mathematics

Solve the problem.An earthquake was recorded which was 2,511,886 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake on the Richter scale? Intensity on the Richter scale is log.

A. 6.4 B. 0.64 C. 14.7 D. 5.4

Mathematics