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when x15 - 1 is divided by Xm - 1for m = 1, . . . . 14. Why do all the remainders have no more than two terms? What other patterns are there? Why do they occur? What would happen if 15 was replaced by another number?
Determine the stable and unstable manifolds for the rest point of the system.
The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
uppose one person sends a letter to eight people, and the following week those eight people send a letter to eight other people. If this pattern continues, how many letters will be sent out on the sixth week?
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.
Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 6 seconds later?
A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom of the hill is about 121 feet. Find the height of the roller coaster to the nearest foot.
Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?
Find the appropriate tests to use for this study.
A triangle drawn on a map has sides of lengths 7.0 cm, 10 cm, and 14 cm. The shortest of the corresponding real-life distances is 124 km. Find the longest of the real-life distances. Round to the nearest unit
Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)
The gestation time for human babies is assumed to be normally distributed with a mean of 278 days and a standard deviation of 12 days. What happens to the standard deviation of the sampling distribution of the sample mean as n increases?
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