Write the complex number in the form a + bi.3(cos 60° + i sin 60°)

A.  + i
B.  + i
C.  + i
D.  + i


Answer: C

Mathematics

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At the given point, find the line that is normal to the curve at the given point.6x2y - ? cos y = 7?, normal at (1, ?)

A. y = -2?x + 3?
B. y = x -  + ?
C. y = - x +  + ?
D. y = x -  + ?

Mathematics

Having received a large inheritance, a child's parents wish to establish a trust for the child's college education. If 7 year(s) from now they need an estimated $60,000, how much should they set aside in trust now, if they invest the money at the given rate of interest. Round your answer to the nearest cent. ? 13.5 compounded quarterly ? $__________ ? 13.5 compounded continuously ? $__________

What will be an ideal response?

Mathematics

According to data obtained from the National Weather Service, 390 of the 442 people killed by lightning in the United States between 1985 and 1992 were men. (Job and recreational habits of men make them more vulnerable to lightning.)

Assuming that this trend holds in the future, what is the probability that a person killed by lightning is a male? Round your answer to the nearest thousandth. a. The probability is 0.879 b. The probability is 0.882 c. The probability is 0.003 d. The probability is 0.885

Mathematics

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. (-11)3 ; (-4)5 ; (-1.3)7 ; (-0.96)9

A. Raising a negative number to an odd power can give either a positive or negative result. B. Raising a negative number to an odd power gives a positive result. C. Raising a negative number to an odd power gives a negative result. D. Raising a negative number to an odd power gives an error message on a calculator.

Mathematics