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Wieferich m-squares.It is a fact that for any odd prime p, there is a number b so that b has order p(p-1) modulo p^2.
A company's balance sheet for 1999 showed a balance of retained earnings of 510 million.
Determine the number of Sylow 2-subgroups and Sylow 3-subgroups that G can have. Justify your answer.
Prove the following generalization of the last Sylow's theorem: If |G| is divisible by p^b, and H <= G has order p^a with a <= b
General solution of a system of differential equations.
Find delta.Let f: D -> R and g: D->R where D is an open interval that contains the point c and let f and g be functions
Orthogonal basis and matrix, Gram-Schmidt process.Find the matrix for the transformation T given in problem 1 with respect to the standard basis
One of the most famous unsolved problems in mathematics is a conjecture made by Christian Goldbach in a letter to Leonhard Euler in 1742.
Find b ^2 – 4 ac and the number of real solutions to each equation. Find all real solutions to each equation.
Stable or unstable system.Please show steps to evaluate for correct answer.
For the following equation, state the value of the discriminant and then describe the nature of the solution. 16x^2+5x+2=0
How realistic are these models?Do these models give you insights into dominance and similar phenomena
Solve by the elimination method.The perimeter of a rectangle is 190 inches.
Eigenvalues of the transition matrix. A discrete dynamical system model for the population of cheetahs and gazelles in Namibia
If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
A wealthy Uncle has offered to give you either of assets: (a) an asset that pays $500 at the end of three years or (b) an asset that pays $100.
What will be the total amount the Taylors will pay the bank over the life of the if they refinance.
Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time.
The representative sold 120 units during the first week, 135 units during the second week, and 165 units during the third week of the month.
For what values h (hours) does Comfort Cares offer the better deal? Express your answer as an inequality. Show all your work.
A company sold bird feeder for $72.27 and had marked them up $36.92. What was the cost of the feeders? Use the formula S=C+M.
P 3 is a vector space of polynomials in x of degree three or less.Please explain the reasoning behind the proper choice.
How fast is the atmospheric pressure changing with respect to altitude at an altitude of 1200ft?
System of linear equations.Total number of cherries on a plate, in a cup, and in a bowl is 780. The plate contains 145 cherries.
The perimeter of a rectangle is 160 inches. The length exceeds the width by 74 inches. Find the length and width.