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Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is an element of N if and only if either (1) both "a" and "b" are elements of N or (2) neither "a" nor "b" is an element of N.
diane works at a public university. she contributes 625 at the end of each month to her retirement fund. for the past
a computer store helps models of a computer m1m2m3m4. each model can be fitted with 3 sizes of hard drive ab and cwhat
What was the side length of the original square?
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
Give an example of a rational function.
compare and contrast permutations and distinguishable permutations. provide a formula for each. state the fundamental
a wheel whose radius is 1.5 was rolling without slipping along a horizontal surface. at a certain instant the angular
Make the following equations in logarithmic form
Marisol needed to borrow $2,000 to pay off a high-interest credit card debt. Her local bank offered her a simple interest $2,000 loan with a 9-month term and told her she would pay $157.50 in interest. Calculate the annual interest rate Marisol is..
Calculate the mean and the standard deviation of the data to 2 decimal places. Draw the cumulative frequency graph for the data. Find from the graph the median of the data.
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
Problem on combination
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