Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.(-
+ i)6
A. 64 - 64i
B. 64i
C. -64
D. -64 + 64i
Answer: C
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A cleaning process removes 5% of a contaminant from a water source each week. There are initially 595 pounds of the contaminant in the water source. ? A: Write a formula that gives the amount C, in pounds, of the contaminant in the water source after t weeks. ? B: How much contaminant remains after 9 weeks? ? C: Make a graph that shows the amount of contaminant over the first 20 weeks. ? D: When will the contaminant level reach 206.33 pounds? ? Round your answers to two decimal places if necessary. ?
What will be an ideal response?
Decide if the number is rational or irrational.0.41414141...
A. Rational B. Irrational
First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. Finally, based on your graph, describe the shape of a scatter plot that can be modeled by f(x) = log b x, 0 < b < 1.y = log1/9 x
A.
increasing
B.
increasing,
although rate of increase is slowing down
C.
decreasing,
although rate of decrease is slowing down
D.
decreasing,
although rate of decrease is slowing down
Solve the equation.4x2 - 20x + 24 = 0
A. 4, 2, 3 B. -2, -3 C. 2, 3 D. 0, 2, 3