Write the complex number in the form a + bi.(cos 150° + i sin 150°)

A. -  + i
B. -  + i
C. -  + i
D. -  + i


Answer: B

Mathematics

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Solve the problem.A retired couple has $130,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 5%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $12,100 per year?

A. $80,000 at 12% and $50,000 at 5% B. $90,000 at 12% and $40,000 at 5% C. $80,000 at 5% and $50,000 at 12% D. $70,000 at 5% and $60,000 at 12%

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Solve the problem.Write an iterated triple integral in the order  for the volume of the region in the first octant enclosed by the cylinder  and the plane .

A.
B.
C.
D.

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Find an equation for the ellipse described.Foci at (-1, 5) and (-1, -1); length of major axis is 10

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

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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

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