20.What is the value of n such that (24  is congruent to 58 mod n) ? a.13 b.17 c.-34 d.-13

Q: 2. Evaluate. (Show intermediate steps for full eredit. You do not need to demonstra application of…

A: Given below the detailed solution

Q: Findy Sytil It 3 15 = 3 (mod 17)

A: Given that: 35y+11≡315(mod17). To find the value of y is obtained: mod of a number is obtained by…

Q: Which of the following is an integer? O -3 1. B) 4. O-12.5 D0.454545...

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Q: र 11 22 (-1)" 2²", when 12) an MO

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Q: Prove that 13n13 + 11n" is always divisible by 24.

A: Consider the given expression.

Q: Hanb(mod n) and b c(mod n) then which of the following is trae. (a) anc (mod n) () 2=c(mod n) (c)…

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Q: Q2 1-The Euler's number (e) is a * rational number a. True b. False

A: Rational numbers are those which can be represented in the from of fraction and those which can not…

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

A: Introduction: Quadratic residue is related to congruent modulo theory. Since, it deals with…

Q: (32³ mod 13)² mod 11

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Q: Evaluate the expressions. (a) 50 div 7 7.143 (b) 50 mod 7 1 ]x

A: We shall answer the following in next step. We also recall the definitions

Q: 4 + B Suppose A A:( ) then Kind ai/a2/as, au and a3 a1/a2/93,94

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Q: 2222 (mod 13) is equal to O 1 (mod 13) O 12 (mod 13) O 2 (mod 13) None of the mentioned O 6 (mod 13)

A: Properties of modulo function  a≡b(mod n ) then an≡ bn(mod n) a≡b(mod n ) then ac≡ bc(mod n)…

Q: Find the coefficient of the term containing x3 in the expansion of (1-√x)¹2.. 22 X

A: The given expansion 1-x12. We have to find the coefficient of the term containing x3.

Q: Solve for neN using a product of factors not the ! function on the calculator. Show steps. 9! a) п 3…

A: We have to find out values of  n in both questions. Formula = Factorial (n)  =  n*(factorial (n-1))…

Q: qual to 2.

A: In this question, concept of Modular Arithmetic is applied. Modular Arithmetic Modular arithmetic is…

Q: Let A = {1, 2, ..., 12}. Let aRb mean a = b (mod 5). (a) Give [2]R. [3]R, and [5]R. (b) Give [2]…

A: A set of ordered pairs is referred to as a relation in the area of mathematics and computer science.…

Q: Set n n and K intgers 1SKE ni Shorw that 2n42 2 - 2n %3D K-I Kニ)

A: Binomial Theorem: According to the binomial theorem, let x and y are any two numbers. Then it is…

Q: Let x and y be positive integers. When is x + y3 a prime number? When is x+y a composite number?…

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