Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(3i)2

A. -9i
B. 9i
C. 9
D. -9


Answer: D

Mathematics

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Identify the number as prime, composite, or neither.84

A. Neither B. Prime C. Composite

Mathematics

Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438 B. 0.487 C. 0.91 D. 0.856

Mathematics

Solve. Round to two decimal places unless otherwise noted.George usually takes 3 hours more than Jon does to install a fence. If Jon takes t hours to install a fence, the function given by H(t) = can be used to determine how long it would take if they worked together.How long will it take them, working together, to install a fence if Jon can install a fence alone in 8 hours?

A.  hours, or 2 hours
B.  hours, or 4 hours
C.  hours, or 6 hours
D.  hours, or 3 hours

Mathematics

Write the complex number in the form a + bi.8

A. -8i B. -8 C. 8i D. 8

Mathematics