Solve the following modular arithmetic. Show your solution in trhe space provided.   1.   (20 -4 ) mod 3             2.  ( 9 + 5 ) mod 8               3.   (28 * 7 ) mod 15

Q: A. 5x = -127 mod 15.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 6. Find the units' digit of 202220212020

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Q: Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1.…

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Q: Prove the following: (a) If a (b) If a b(modn) and c€ Z then cacb(modn). b(modn) and e=d(modn) then…

A: As per the guidelines I am answering only one question with all its parts.Remember :

Q: Work the modular arithmetic problem. (9.7)(mod 5). (9.7)(mod 5) = (mod 5)

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Q: Use base-ten blocks to illustrate 111+5. 111 has flat(s), long(s), and unit(s). Starting with the…

A: Given that use base-ten blocks to illustrate 111÷5.

Q: Calculate the decimal equivalent of the hexadecimal number (2B03) 16- Calculate the binary…

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Q: Problem 3. Evaluate the following (please do not use a calculator): (a) 11 11 11 11 11 (mod 10) =…

A: We know that modulo is remainder after dividing one number by another. Let a, b, m are integers with…

Q: 1. What number when divided by 2,5,7,11 and 17 you'll get -17,-11, -7,-5 and -2 respective…

A: Note: According to our guidelines we can answer only first question

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A: (a) For the congruence 4x ≡ 5 (mod 6), we need to find a solution for x such that when 4x is…

Q: 3 Р 1 ? What if 3 is replaced by = 2. For which primes p is -3, 5, -5, 6, or -6 ? Any patterns? Is…

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Q: Work the modular arithmetic problem. (11.10)(mod 7). (11 10) (mod 7) = (mod 7)

A: (a)   (11.10)mod 7  =  110 mod 7                            The remainder when 110 is…

Q: Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in…

A: Primitive roots are those x which satisfy x^k = 1 mod n

Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

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Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: You may use modular arithmetic to solve the following. (a) Prove that for all n ≥ 2, 14+1 +8" is…

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Q: c.) There is a conjecture called "Goldbach's weak conjecture" (yes, really!) that every odd number…

A: Given: Odd numbers greater than 5. To prove: Every odd number greater than 5 can be written sum of…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4xr

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Q: 7. Solve the following congruences, and check your answers: (a) x27 = 3 (mod 110) (b) x7" = 4 (mod…

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Q: Q4 (a) Solve for x if 25x = 15(mod 29). (b) Determine the smallest positive integer so that when…

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Q: explanation

A: Round-Robin tournament: This comes out from the round-robin principle, where each person gets an…

Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

A: (b) 58x = 130 (mod 182) Let us consider:  58x = 182t + 130 Substitute the value of t = 0, 1, 2, 3, .…

Q: True or False. Briefly explain why.  By Fermat’s Little Theorem, 6 is the smallest positive integer…

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Q: . (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic…

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Q: Work the modular arithmetic problem. (8.9)(mod 4). (8.9)(mod 4) = (mod 4)

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Q: USING MODULAR ARITHMETIC PERFORM THE FOLLOWING OPERATIONS    A).  (27 + 7) (mod 4)…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 3. Find the residue of 20211202 mod2022 using Euler's Theorem.

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Q: Solve the following. Show your solution. 1. How is modular arithmetic like a clock? If it is 16…

A: 1) In modular arithmetic,     For 16 hours,     Time after 12:00 o'clock is  (16 = 12 + 4)  = 4…

Q: Identify the computation being modeled on the number line below and briefly justify your answer.…

A: To Identify : Computation being modeled on the give number line

Q: 1. Modular Arithmetic. For each of the equations below, find every x which satisfies the equality.…

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Q: 4. Solve the following: 34x 60 (mod98) 5. Detemine all the possible positive m values greater than 1…

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Q: 5. Find the general solutions of 56x + 72y = 40. 2020

A: This is a linear diophantine equation. We first find a solution via hand and then give the general…