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Apply DeMoivre's Theorem to solve the following:
*any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!
1. (-1-i)^4
2. (-4sqrt3 + 4i)^1/3
3. (2(cos pie/3 + i sine pie/3))^5
4. z^4 +8sqrt3-8i=0; solve for z
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation.
What proportion is between 150 and 140 centimeters
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What is the probability that two cards drawn from a deck are both aces?. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
Factorize and solve the given quadratic equation and Solving the given quadratic equation by using formula method
Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
Evaluate the multiple integral under given condition using spherical coordinate - Convert the following triple integral to an appropriate coordinate system and evaluate.
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
Find the probability of observing
Audrey's 300-mile trip took six hours to complete. Find the ratio of average speed.
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