Provide an appropriate response.Find all complex square roots of z = 81(cos 60° + i sin 60°). Write each root in standard polar form with the argument in degrees.
A. 9(cos 60° + i sin 60°), 9(cos 120° + i sin 120°)
B. 9(cos 60° + i sin 60°), -9(cos 120° + i sin 120°)
C. 9(cos 30° + i sin 30°), 120(cos 210° + i sin 210°)
D. 9(cos 30° + i sin 30°), 9(cos 210° + i sin 210°)
Answer: D
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Write an equation for a function that has a graph with the given characteristics.The shape of y = ?x? is reflected across the y-axis. This graph is then vertically stretched by a factor of 1.2. Finally, the graph is shifted 10 units downward.
A. f(x) = 10?-x? - 1.2 B. f(x) = 1.2?-x? - 10 C. f(x) = 1.2?-x? + 10 D. f(x) = -1.2?x? - 10
Provide an appropriate response.Ten voters are asked to rank 3 brands of shoes: A, B, and C. The ten voters turn in the following ballots showing their preferences in order: CBABCACBABCABACBCABACCBA?CBABCA?Make a preference table for these ballots.
A. 
B. 
C. 
D. 
Write the statement as an equation.The width (W) of a room is three times the length (L).
A. W ? L = 3 B. 3W = L C. W = L/3 D. W = 3L
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
(log4 x + log4 y) - 6 log4(x + 7)
A. log4 
B. log4 
C. log4 
D. log4 