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Prove or disprove the following statements. (a) If a; b 2 Z, a; b > 0, and a2 j b3, then a j b.(b) If a; b 2 Z, a; b > 0, and a2 j b2, then a j b.Find all pairs of positive integers a and b for which (a; b) = 18 and [a; b] = 540. Prove that you've found all such integers.(a) Let a; b 2 Z. Prove that if a and b are both expressible in the form 6n + 1 with n 2 Z, then so is ab.(b) Prove that there are in nitely many prime numbers of the form 6n+5 with n 2 Z.
When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression? Please share an example.
which of the following statements regarding components of a time series are true? check all that apply.answer1.trend is
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The sum of the measure of an angle and five times its complement is 300 . What is the measure of the angle?
What law of radicals allows you to treat radical expressions as exponential expressions? How would you explain this to someone else and how would you explain adding like radicals?
Find the world population be ten years from now.
translate the phrase to a algebraic expression. state what each variable represents. one-sixth of a number plus
How do you write an exponential decay function to model a situation?
Applications of combination
find the largest integer k such that the polynomial. x2 12xk can be factored into the product of two linear polynomials
I recently read an obituary of Paul MacCready, the father of human powered aircraft. He invented the Gossamer Albatross, an aircraft which successfully flew the English Channel under human power
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