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Please help with the following problems involving group theory proofs. Provide step by step calculations along with explanations.
a) Prove that if G is a finite group and a is an element of G then for some positive m , a^m is equal to the identity of G. (Use the Pigeon hole principle)
b) Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.
Probability of selecting letters.
If there is a problem with a large number of equations and variables then the elimination method would be preferable to the substitution method. After all, it would break down the problem and/or equations in an easier manner.
a common component of investing money is to take advantage of a financial institutions willingness to pay compound
A two-sided marked domino is a piece consisting of two squares joined along an edge where each square on both sides of the piece is marked with 0,1,2,3,4,5 or 6 dots.
Perform the indicated operation and simplify. Show work.9i * 9i
Algebraic expressions.
Please solve for the following: Find both the x intercept and the y intercept of the line given by the equation 6x + 7y + 11 = 0.
Sketch the given region R and then find its area: R is the region bounded by the lines y = x, y = -x, and x = 1. R is the region bounded by the x axis and the curve.
By setting up and solving a proportion involving x for the car that you have chosen. State the type of car, the mileage, and show both the set up of the proportion and the steps to solve.
Chicken pies cost $3 per pound, dried fruit $4 per pound and nuts $8 per pound . How many pounds of each should be used to produce 140 pounds of trail mix costing $6 per pound in which there are twice as many pretzels by weight as dried fruit?
Find the number of units of A, B, and C which could be made if department I has 75 hours available and Department II has 65 hours available. It is necessary that all of the available hours be used
algebra review please respond to the followingexplain in your own words what the author of your textbook means by the
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