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1. We define the symbol , as follows. Let x and y be integers. We write (x , y) if 3x+ 5y = 7k for some [5]integer k.Prove for integers a, b, c, d that:(a , b) and (c , d) is sufficient for (a + c) , (b + d).
2. Prove that: For all integers n, if n^2 is odd, then n is odd.Hint: You may find it easier to rephrase the claim in another way. Recall that A → B can be rewritten in different ways.
1 A bookstore has a draw for a $25 book certificate. Each customer draws a ticket from a bowl of 100 tickets. Only one of the tickets is a winning ticket and once the certificate is won, the draw is over. If the tickets are drawn with repl..
Does your taking this course entail any externality costs, in addition to your private economic costs?
using the company records for the past 500 working days the manager of konig motors a suburban automobile dealership
Use a sign chart to find the local maximum and local minimum. Find the corresponding y values to complete the ordered pair for the local minimum and local maximum.
View the answers from (a) as two linear equations in two "unknowns" (∂z/ ∂x and ∂z/ ∂y). Solve these equations to write ∂z/ ∂x and ∂z/ ∂y terms of ∂z/ ∂τ and ∂z/ ∂θ.
Write an expression which represents the area of the rectangle in terms of x and simplify. Based on your answer to part e, are polynomials closed under the operation multiplication? Explain why or why not
Write a FORTRAN subroutine which accepts a number to the base BETIN with the NIN digits contained in the one-dimensional array NUMIN, and returns the NOUT digits of the equivalent in base BETOUT in the one-dimensional array NUMOUT. For simplicity,..
which weight will the lever incline?
Reading down and left to right, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot.
A textbook store sold a combined total of physics and math textbooks in a week. The number of physics textbooks sold was two times the number of math textbooks sold. How many textbooks of each type were sold?
One colored marker -red, yellow, or green - is selected and a coin is tossed. Use the counting principle to determine the number of sample points in the sample space.
What would you recommend for both students and faculty? What is the potential impact on relationships with the business community and what would you recommend? How can this study be improved?
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