To Determine the value that 46 is congruent to IN modulo 7

Q: b"=1 (mod n) is valid for which of the following pair (b,n) (9.7,1729) (97,1729) (-97,1729)…

A: Answer

Q: if b is modulo m and a is another unit with a=b mod m, we say that d is the---------of a modulo m to…

A: As with such a large amount of concepts we are going to see, congruence is straightforward, perhaps…

Q: 1) Find 100147 + 147100 (mod 11)

A: Image is attached with detailed solution.

Q: Determine whether each case is true or not : * a. 44 = 13 (mod 3) > b. -55 = 5 (mod 4) → c. 74 = 1…

A: If a and b are integers and n > 0, we write a≡b(mod n) to mean n/(b-a). We read this as “a is…

Q: "divisionless mod" where x mod y is computed in steps. One step is to use xhi, xlo, a and b to…

A: xhi =14 , xlo  =4 , a=5 and b=3 To compute x mod y.

Q: Let x be an integer coprime to 1450 that is not congruent to 1 modulo 1450. Suppose we know that x1…

A: The given two MCQs are exactly same. Hence we will just solve the first one. And we will use the…

Q: (135+136) 123 =1 (mod 10) Select one: True O False

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Q: What number a E {0,1, ..., 22} is congruent to 1010 modulo 23? Answer:

A: Introduction: For two given integers, it is supposed that a,p=1 and p is prime. Then, in view of…

Q: Determine whether 24 and 14 are congruent modulo 6. DONT USE AI, USE paper and pencil

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Q: Show that 127 = -16(mod 13) and show that 300 = 1(mod 13).

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Q: (a) Show that, for any odd prime p > 5, 1 if p = 1, –5 (mod 12) (주) -1 if p= -1,5 (mod 12)

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

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Q: Identify if the given statement is true or false: I. If a is an integer, the (a^2 is congruent to 0…

A: Given some statements. Check whether these statements are true or false.

Q: True or False: 5 is a primitive root modulo 29. O True O False

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Q: Explain why all prime numbers greater than 3 are congruent to either 1 or 5, modulo 6. If you are…

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Q: Compute 386 mod 89.

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Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: Determine the number of primitive roots modulo 23.

A: Solution

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

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Q: True or False : 4x ≡ 12 (mod 10) ⟹ x ≡ 3 (mod 10)

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Q: List six intergers that are congruent to 7 modulo 9.

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Q: Please help!

A: Solution is given below

Q: 122 is congruent to 5 modulo17 ?

A: To check whether -122 is congruent to 5 modulo 17 or not

Q: Is 7|(15+20): True or False? 28 is congruent to 42 modulo 6: True or False?

A: I am solving these in step 2

Q: System of congruences (smallest +integer for answer): x = 3(mod 7) x = 4(mod 9) x = (1 mod 6)

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Q: 999 3. Calculate (4) mod 3.

A: This simple result follows by noting that 4 is 1 mod 3. The rest of the details are given in the…

Q: Find the inverse of 47 mod 30 or 47 x = 1 (mod 30)

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Q: Is 103= 58 mod 5 true or false?

A: Note: a mod b is the remainder from the division of a by b. Given: 103 = 58 mod 5.

Q: 17!=1(mod19). Select one: True False

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Q: (d) 357 862 193 = (mod 943). (e) 5327 6135 7139 2187 5219 . 1873 = (mod 8157). (Hint. After each…

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Q: Compute 21200 mod 27.

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Q: Determine the remainder of 102020 modulo 2020 and the remainder of 102020 modulo 2021.

A: solution 104≡1920(mod2020)…

Q: ie/False: The numbers 252 and –108 are congruent modulo 15. True False

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Q: Which of the following is valid congruence Modulo n? Select one: O a. None of them ОБ. 12 (-5тod3) O…

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Q: compute 13 inverse (mod 19) * also known as 13 to the power of -1 * by listing the multiples. Show…

A: Solution:-

Q: Use Chinese theorem to find all positive integers that makes this congruence true:        x = 2 mod…

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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.