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A) Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An
b) Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for all a in A. (Such an element g is called a fixed point free automorphism)
c)Let G be a group, let A be an abelian normal subgroup of G, and writeG(bar)=G/A. Show that G acts(on the left) by conjugation on A byg(bar)a=gag^-1, where g is any representative of the coset g(bar). Give an explicit exxample to show that this action is not well defined if A is not abelian.
Ps. For part c G(bar) stands for notation of G with a bar(line) on the top....I don't know how to better type this notation on this screen.
A company has a total cost of $50.00 per unit at a volume of 100,000 units. The variable cost per unit is $20.00. What would the price be if the company expected a volume of 120,000 units and used a markup of 50%?
Find all solutions of each of the systems of congruences
Calculate the adjacent matrix and find its inverse.
What is the process to write an equation that models how old in years each of you will be15,40 and 30, when your ages add up to 150 years old?
An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first-class seats. How many of each type of seat are there on the plane?
Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. As the number of animals tested increases, what happens to the average cost to test the animals? How do you know this?
A cafeteria offers 4 main menu selections, 5 salad selections, 3 fruit selections and 8 drink selections. How many ways can a student choose a lunch if
How would I find the y-intercept of the line represented in the below table? Please explain. I can't seem to understand this.
Logarithmic function problem.
Use the result in Exercise 10 to show that the set of points (x, y, z) in R3 for which the matrix
A manufacturing company uses the following function to model the unit cost in dollars to produce the x number of toys. For what number of toys is the unit cost at its minimum? What is the unit cost at that level of production?
Tomorrow is going to be a hot one. Right now the temperature is 87 degrees and it will fluctuate at least 11 degrees by 3pm. What is the range of possible temperatures it could be at 3 pm.
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