30. Find the integer a such that a) a = 43 (mod 23) and -22 < a s0. b) a = 17 (mod 29) and -14 < a s 14. c) a = -11 (mod 21) and 90 sa s 110.

Q: Consider the equation where x1,x2,...,x9 € N. How many solutions are there if: a) b) c) Xi 9 for all…

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A:

Q: 7. List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers…

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Q: USE PENCIL and PAPER, DONT USE AI State as TRUE or FALSE. Show your work. A) 172 ≡ 2 (mod 5) B) -6 ≡…

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Q: 1. For each solution: determine weather there is a a congruence a x² = -1 (mod 397) b.) x²+8x+14=0…

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Q: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

A: To find the value of- 5368(mod41)

Q: 19. (2 points) Rewrite In 147 in terms of In 3 and In 7 a) In 7 - 2 In 3 b) In 3 + 2 In 7 c) 2 In 3…

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Q: a) If a| (21b−c) and 6c≅3b(mod2a), then a| 41c b) If a≅b(modc) and d|c then ?≅?(mod?) c) ∴(d|…

A: this is a question of modular arithmatic.

Q: 157" =x (mod 11), 0 <x<11

A:

Q: 16. For any two integers a and b, (a + b)² = a² + b² FALSE; Gir

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Q: solve it math A, B,and C

A: Answer 1a)OR {x ∈ Z+|x≡1 (mod 8)}Answer 1b)Answer 1c)

Q: you Prove the " of 25nY-18n +7 =0 (mod4), then statement contradiction. is by "even

A:

Q: 3. Show that if m and n are integers and n +5 is odd then n is even using a) a proof by…

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Q: Ques 3. Verify the following statements. 1. 55 - 26 = (3 - 2) (mod 4) 2. 55 - 26 = (3 - 2) (mod 4)…

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Q: 11.) Pick 2 of the 4 to answer. Remember to show all your work!! Identify knowns, unknowns, and any…

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Q: . Find the value of 876,543,218,765,432,187,654,321 (mod 11) 10

A: To find the value of 876,543,218,765,432,187,654,321(mod11)

Q: nd the mod value AS US LL UL 23 25 26 28 29 31

A: The formula to compute mode is,  Here L is the lower boundary point of mode class Maximum frequency…

Q: 4. Do a direct proof using domain knowledge: An odd integer minus an even integer is odd.

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Q: 236,153 2 = | - Is 36,153 Yes

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Q: 13. Suppose that a and b are integers, a = 4 (mod 13), and b = 9 (mod 13). Find the integer c with 0…

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Q: Which of the following numbers are prime? Show why. 1527 b. 15277 а.

A: