Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(-5 + 5i)3

A. 15 + 15i
B. 50 + 50i
C. 5 + 5i
D. 500 + 500i


Answer: D

Mathematics

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Mathematics

In 2004 the Texas Bureau of Economic Geology published a study on the economic impact of using carbon dioxide enhanced oil recovery (EOR) technology to extract additional oil from fields that have reached the end of their conventional economic life. The table gives the approximate number of jobs for the citizens of Texas that would be created at various levels of recovery. Find the regression line.

Percent Recovery (%) - x 20 40 80 100Jobs Created (Millions) - y 3 6 9 15?
y = __________ x + __________Use the regression line to estimate the number of jobs that would be created at a recovery level of 63%.__________ million jobs

What will be an ideal response?

Mathematics

Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.The Smale family paid 21% of the purchase price of a $257,000 home as a down payment. Determine the amount of the down payment.

A. $53,970 B. $12,238 C. $540 D. $5,397

Mathematics

Solve the equation.-4.5 + x = 16

A. x = 20.5  B. x = 11 C. x = 20  D. x = 11.5 

Mathematics