Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.(- + i)6

A. 64i
B. -64 + 64i
C. -64
D. 64 - 64i


Answer: C

Mathematics

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Solve.The current in amps I drawn by an appliance in the home can be approximated using the formula  I =  ,where P is the power measured in watts and R is the resistance measured in ohms. What is the current I if  watts and  (Round to three decimal places, if necessary.)

A. 8.944 amps B. 10.178 amps C. 11.18 amps D. 28.284 amps

Mathematics

Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies inversely with x. When x = 7, then y = 9.

A. k = ; y = x
B. k = 63; y = 
C. k = ; y = x
D. k = 56; y = 

Mathematics

Solve the problem.In a certain coastal basin, the sea water contains 3.4 grams of salt per 1000 milliliters of water. How many grams of salt would be in 4 liters of the sea water?

A. 0.136 grams B. 1360 grams C. 13.6 grams D. 136 grams

Mathematics

Answer the question or write an explanation.Give a definition of slope-intercept form of a line.

What will be an ideal response?

Mathematics