Find all solutions of the equation in the complex number system.(x + 7)(x - 4i)(x + 4i) = 0

A. {-7i, 4i, -4i}
B. {-7}
C. {-7, 4, -4}
D. {-7, 4i, -4i}


Answer: D

Mathematics

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Solve the problem.For the vectors u and v  with magnitudes  = 3 and  = 8, find the angle ? between u and v which makes  = 2

A. 41.81° B. 48.19° C. 67.98° D. 75.52°

Mathematics

Solve the problem.In 1985, the number of female athletes participating in Summer Olympic-Type Games was 500. In 1996, about 3550 participated in the Summer Olympics in Atlanta. Assuming that  and that the exponential model applies, find the value of k rounded to the hundredths place, and write the function.

A. k = 0.18; P(t) = 500e0.28t B. k = 0.18; P(t) = 500e0.18t C. k = 0.16; P(t) = 500e0.16t D. k = 0.2; P(t) = 500e0.2t

Mathematics

Determine if the function is increasing or decreasing over the interval indicated.f(x) = ; (-?, 0)

A. Increasing B. Decreasing

Mathematics

A function and its graph are given. Use the graph to find , if it exists, where . Confirm your results analytically.

?

 
?

A.
B.
C.
D.
E. does not exist

Mathematics