Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

A. -sin x
B. sin x
C. cos x
D. -cos x


Answer: D

Mathematics

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The graph below shows estimated world population for the period 4000 BC - 2000 AD. Note that the logarithm of the world population and not actual population is plotted on the vertical axis. This means, for example, that when the graph reaches 7 on the vertical scale, world population is 107 and when the graph reaches 9 on the vertical scale, world population is 109. Log World Population  ?  Year Use the graph to answer the question. How does world population in the year 2000 AD compare with world population in the year 4000 BC? 

A. The 2000 AD population is roughly 44% larger than the 4000 BC population. B. The 2000 AD population is roughly three billion larger than the 4000 BC population. C. The 2000 AD population is roughly one thousand times as large as the 4000 BC population. D. The 2000 AD population is roughly thirty times as large as the 4000 BC population.

Mathematics

Use the product rule for exponents to simplify the expression, if possible. Write the answer in exponential form.(5p4)(-3p6)

A. -15p10 B. 15p24 C. -15p24 D. 15p10

Mathematics

Determine the zeros (if any) of the rational function .

A.
B. x = -4
C.

D. x = -5, x = 5
E. no zeros

Mathematics

Evaluate the expression  for each choice of a, b, and c.a = 1, b = -4, c = 53

A. -2 + 7i B. 4 + 14i C. 2 + 7i D. 9

Mathematics