Find all cube roots of the complex number. Leave answers in trigonometric form.125

A. 5 cis 90°, 5 cis 210°, 5 cis 330°
B. 5 cis 0°, 5 cis 60°, 5 cis 120°
C. 5 cis 45°, 5 cis 165°, 5 cis 325°
D. 5 cis 0°, 5 cis 120°, 5 cis 240°


Answer: D

Mathematics

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 Find all angles in [0°, 360°) that satisfy the equation.sin 2? = - 

A. {30°, 90°, 150°, 270°} B. {105°, 165°, 285°, 345°} C. {0°, 120°, 180°, 240°} D. {15°, 165°, 195°, 345°}

Mathematics

For certain decisions, the time it takes to respond is a function of the number of choices faced. The relationship is

,
where R is reaction time in seconds, and N is the number of choices.A: Express using functional notation the reaction time if there are 8 choices. Then calculate that value. Round your answer to one decimal place if necessary. B: Make a graph of R versus N. Include up to 10 choices.C:  Is the graph concave up or concave down? Explain in practical terms what the concavity of the graph means.
?

What will be an ideal response?

Mathematics

Solve the problem. First use front end rounding. Then find the exact answer.Find the total amount Lisa stashed in an envelope on her dresser if she placed $485 there at the end of each week, for 3 weeks.

A. Estimate: $1500; exact: $1470 B. Estimate: $1470; exact: $1455 C. Estimate: $1470; exact: $1470 D. Estimate: $1500; exact: $1455

Mathematics

Factor, using the given factor. Assume all variables represent positive real numbers.14s1/7 - 8s-2/7; s-2/7

A. s1/7(14s3/7 - 83/8) B. s-2/7(14s3/7 - 8) C. s1/3(14 - 8s3/8) D. s-2/7(14s3/7 - 8s)

Mathematics