9. a. Solve xQ + Q – 4 = 3Q + 5 (mod 2Q), where Q = 2 b. Find the quotient and remainder when Q is divided by 13. Show all calculations in writing.

Q: 2. Fill in the blanks to explain how to solve 3/5 1/10. You can use a common denominator and rewrite…

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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: Suppose b is any integer. If b mod 12 = 5, what is 6b mod 12? In other words, if division of b by 12…

A: Given b is an integer such that b mod12=5 To find the value of  6b mod12

Q: Is the statement true or false? If an odd number is less than 15, then it is prime. False Give a…

A: We have to check

Q: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: 7. Suppose a1, a2,...,ɑn are integers, r is a solution to the equation 1" + a,r"-1 + a2r"-² + + a, =…

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Q: Find the smallest integer value c and it's n, to show that 2n2 + 6n – 3 Oln –10) is an

A: Given:

Q: Either solve the congruence, giving the solution as a least residue, or show that it has no…

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Q: Solve for x: 32 + 104 = x(mod5) O 1 O 4 3.

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Q: 32+104 ≡ x(mod5) How do you solve these?

A:

Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 18 2

A:

Q: (1) Consider the equation 2.x +1 = 0 mod n. For which n are there no solutions? one solution?…

A: Congruence

Q: For this question, explain the reason if no solution exists. Give a complete list of solutions if…

A:

Q: , 7/4 /213, 33 b) Solve e In(9) + 21 = 41 for æ. a) Write In(- -) in the form a lIn(7) + bln(3)…

A:

Q: How would I solve for n and m (without a calculator)? Please explain. 5" = 3( mod 97) 5m = 7( mod…

A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

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 all solutions to x^2=6 mod 143, note that 143=11*13 (I solved x^2=133 mod 143, but i'm not sure…

A: It is required to find all the solutions of x2=6mod143 Given that 143=11×13 Where 11 and 13 are…

Q: If m times the nth term of an AP is equal to n times its nth term, show that the (m + n) th term of…

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Q: 13 12 8- SOLVE FOR W.

A: Given data: The perpendicular is l=12. The hypotenuse is h=13.

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

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Q: 3x = 11 (mod 20)

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Q: 5. Use the method of successive squaring to compute 3875 (mod 103) 1

A:

Q: Suppose b is any integer. If  b mod 12 = 5,  what is 6b mod 12? In other words, if division of b by…

A:

Q: By subtracting (17) from (16), we get C (P− Q)[(A+B+C+1) −D] =0, Since (A+B+C+1) − D ‡0, then P = Q.…

A: We have been given: P=A+B+CQ+DP-be-d    16Q=A+B+CP+DQ-be-d    17 We have to explain: P-QA+B+C+1-D=0

Q: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

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Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

A:

Q: ΔLMN, LN is extended through point N to point O, m∠NLM=(x−4)∘,  m∠MNO=(4x−17)∘,   and m∠LMN=(x+9)∘.…

A:

Q: Solve the equation 5x = 13 (mod 18)

A: Given: To solve: the equation 5x4≡13mod 18Formula: a≡bmod cis equivalent to saying by Euclid's…

Q: To what power has 4 been raised to attain the result of 256?

A: topic - exponents

Q: Find all the non-congruent solutions to  4x ≡ 6(mod 21)  express solutions using the stand…

A: Introduction: A linear congruence is generalized as ax≡bmod n. The greatest common divisor of a and…

Q: solve the following subtaction question  (111)3 -  (R-1)’s of ( 8641)3

A: (R-1) refers diminished radix complement. The radix complement of 8641 is 1359 because…

Q: 3. First solve for q: (a) 143 = 1( mod 2) (b) Rewrite 143 as the product of 11 x 13 and show that…

A: Consider the given information: a=q m+ r Where a= dividend , q=quotient, m=mod , and r=remainder. To…

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: 7. If ADEF ~ AJKL, find KL. 25 E 6x +3 x + 11 10

A: The figure of the triangles are given by To evaluate : The measure of KL if △DEF ~ △JKL

Q: 37! D- Given that N= (191)(15) is an integer: i- Does the prime 11 divide N? What about the prime…

A: N = 37!19! 15!37! consist numbers that are divided by 11→11, 22 , 33→319! consist numbers that are…

Q: 4. 2x = 3 (mod 5)

A: A congruence ax≡b(mod n) has a solution only if  gcd(a,n) divides b. Also to solve a congruence…

Q: 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 a4 as b.…

A:

Q: 27=31 mod 5     True or false and how you work the problem

A: The value of a mod b is equal to the remainder from the division of a by b. Given: 27 = 31 mod 5.

Q: b. 3x = 0 (mod 21)

A:

Q: or what values of k, x=4 will be a solution for 3x²+4x = k mod31?

A:

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

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Q: the pth term of AP is a and the qth term is p,prove that it's nth term is (p+q-n)

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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: The number of incongruent solutions of 105x = 45(mod60) is: 6 12 None of the choices 15

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Q: To solve the equation 13x 6x + 14 = 0 (mod 19) is equivalent to solve

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Q: 6. Find the length of AB in terms of n. 204 B 16 in.

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Q: (a) Find an integer r E {0,..., 196} which solves the equation 167 = 7 (mod 197).

A: Given equation is x157≡7mod197. We have to find that an integer x∈0,....,196 which solves the…

Q: The number of mutually incongruent solution(s) of 307x = 83 (mod 360)

A: BY THE DEFINITION OF Modulus congruence Modulus congruence means that both numbers, 16 and 21 for…

Q: Prove that (AC) =C" A" 6.

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.