Calculate the following: 224 (mod 9) = ?

Q: Find the following 122 (mod 35) 12 (mod 35) %3D 128 (mod 35) %3D 1216 (mod 35) %3D

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Q: Which of the following powers is equivalent to 11) 2? O 112/3 O (112)3 O 113/2

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Q: Find the solution to 34x = 77(mod 89) that is positive and less than 89.

A: given that                                          34x≡77 (mod 89) we have to find positive…

Q: Question 2 For the following, find æ 2175 = x mod 78 O 9 mod 78 69 mod 78 O -9 mod 78 O -69 mod 78

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Q: The value of 52003 mod 7 is? 4 0 3 0 9 O 8 0

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Q: Find the value of 3443 mod 23 4 16 O 3

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Q: Solve the congruency by finding the inverse: 7x = 9(mod 43)

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Q: Find d the inverse of 43 mod 6602

A: we use Euclidean algorithm to find the inverse of 43 mod 660.

Q: x is congruent to 43 mod 12. Then x is None of the option 91 75 89

A: Answer is 91.

Q: 7. Calculate each of the following. [from #22, 4.5] b) 971321 (mod 765) a) 2557341 (mod 5681)

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Q: 1. Solve each of the folling. а. с. d. 115x = 2 (mod 288) 2. Explain why 12x = 1 (mod 75) has no…

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Q: Find the four solutions of x* = 1 (mod 13).

A: Since you have asked multiple questions we will solve the first question for you .To get any…

Q: Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the remainder…

A: Where  would  129  be  on  a  mod  13  clock  (which  goes  from 0 to 12)? What is the remainder…

Q: and (mod 18), calculate (17)(49°. (496 –76+1) (mod 19)

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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: Determine which of the following statements are true: a. 54=72(mod16)

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Q: The value of 9446 (mod 47) is: 46 O 47

A: 9446(mod 47)

Q: 2) Find 281171 + 171281 (mod 12)

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Q: The remainder in 14 (mod 3) is 3

A: Given that 14 (mod3)

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

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Q: The value of 52003 mod 7 is? 80 3) 4

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Q: Find the value of 14147 (mod 1537) 656 657 None of them 659 658

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Q: The value of 14723 (mod 153) is A) 67 B) 52 C) 54 D) 73

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Q: What is the result of the following instruction? Print x = 25 Mod 3

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Q: One of the following is a solution of 306x = 90 (mod 360) 107 has no solution 105 106 108

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Q: Use the floor notation to express each of the following. 335 div 13   335 mod 13

A: To use the floor notation to express each of the below expressions. 335 div 13 335 mod 13

Q: Find the result of 456168 mod 169 using Euler's Theorem? show your calculation for credit O 1 O 12 O…

A: See the detailed solution below.

Q: Need Answer ASAP Using Fermat's Little Theorem to Calculate Each (Show Your Work) 1. 99 ^ 101 mod…

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Q: The value of 52003 mod 7 is? (3 (4 8) 9

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Q: i need to find the value of m 12 = (m*28)mod 113

A: Solution is given by using Diophantine equation and extended Euclidean algorithm as follows

Q: 1. Solve the congruence 17x ≡ 42 (mod 100). 2.Compute the remainder of 3293 when divided by 97…

A: 1) solve the congruence 17x=42+100k implies17≡42+100k as we know gcd17,100=1 and 1/42 now, using…

Q: determine what number the sum is congruent to in mod 3, 6+4 = __ (mod 3)

A: First we add the numbers, then check for the remainder on dividing the result by 3 and that will be…

Q: Which value of x satisfies x= 233 (mod 7)? O 495 o 699 o 424 o 352

A: 352

Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

Q: Given 3 * 4.52 = x(mod 53), Here x is equal

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The value of 52003 mod 7 is? (3 4 8

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Q: One of the following is a solution of 81x = 54 (mod 108) 43 47 45 42 has no solution

A: We are given the Equation :

Q: Compute the following. (a) Pa 4-

A: It is asked to find P9,4 C9,4 P10,10 C11,11

Q: Using Fermat's theorem, find 3201 mod 11.

A: Euler's Theorem states that for any natural  number n, we  have  aϕ(n)≡1(mod n) where ϕ(n) denotes…

Q: The order of 5 mod 17 is

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 20 30 18 O 60

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Q: Find the exact values of the following 23nzn (1) 52n n=1

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Q: Use Euler's theorem to evaluate: 9 (mod 14) for a =1446.

A: Euler's theorem:- If gcd a,n=1 then aϕn≡1mod n. here ϕn is Euler's function. The number of integer…

Q: Number theory

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Q: If a = 2846463 mod 59, then a =? A

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Q: Use the repeated squaring method to calculate the following: 16^10 (mod 230)

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Q: Calculate (13, 000 +2)10 (mod 13). Find the omeir lor of 3456 whon dlivided by the following Hint:…

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Q: Solve for a a ≡ 13 mod 5353

A: To solve  a ≡ 13 mod 5353

Q: D 112

A: SSS = side side side  we need three sides equal to prove congruency by this Theorem

Q: The deciphering formula for C= (11P+16) mod 26 is

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.