Answer each of the following questions. V ? 1. 23 = 56 mod 4 True 2. 24 = 154 mod 13 False 3. –4 = 4 mod 4 ? 4. –5 = 62 mod 11

Q: 8. Solve the following congruences. a. 5x + 3 = 13 (mod 14) b. 4x = 20 (mod 8)

A:

Q: X500 mod 26 = 3| What is x1001 mod 26 ?

A:

Q: 05 If |a+31/2=1 and 2|b+1|=6, then la +b] could equal any of the following EXCEPT * O A.1 B.3 C.5…

A: Topic:- algebra

Q: Evaluate 5e dx In 5 + 1 In 2 +1 O In 5 + e None of these

A:

Q: Find the number of all ordered 4-tuples of integers that are greater or equal to -3 whose sum is 1.…

A:

Q: 16. Which of the following congruencies has NO solution? . A. 24x = 18(mod 39) B. 5x = 4(mod 10) C.…

A:

Q: By dragging statements from the left column to the right column below, construct a valide proof of…

A:

Q: 1. Which pairs of integers have a GCD of 16 and LCM of 576? a. 32 and 288 b. 48 and 192 c. 80 and 96…

A: 1)  We need to find which pairs of integers have a GCD of 16 and LCM of 576. We know that , the…

Q: Consider 64z 16 mod 196. The number of solutions mod 196 is Oa None Ob 3 Oe 1

A: We find the number of solutions incongruent mod 196

Q: WORKSHEET 4: Rationalize the denominator. 2 +1 √2 √6+2

A:

Q: One of the foll owing is not true: Oa 0= 10 mod 5 b None Oc 14=2 mod 6 Od 20 =0 mod 5 Oe -24 mod 6

A: Here we use rules of modular operation.

Q: Which of the following is the correct way to evaluate the following? -3-2 O(-3)(-3) = 9 O (1/3)(1/3)…

A:

Q: Let h be a prime number and let k be some integer. What are the possible values of ged(h+k, h-k)?

A: We have given that ,  h be any prime number and k be some integer. We need to find possible values…

Q: Which of the following statements are true? A. (-19)mode 5 = 9 mode 5 B. Every prime number is odd…

A: Note that (a mod b) returns the remainder after dividing a by b.So the answer can be either -4 or…

Q: d the length of UC -40 48· 21 15 H M K U C 26 -40 - 5 - 19 CO 2.

A:

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

A:

Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

A:

Q: m ∠ 12 = 121 ∘ and m ∠ 6 = 75 ∘, find m ∠ 10.

A:

Q: For the following set, specify reasons inf A and sup A ; =n = 1,2,00 . A

A: Given : A={ 1/n  ∶ n=1,2,…}  To find : inf A and  sup A

Q: Find the following expression, if not defined, give the reason why. 1. 14B - 3B 2. CD

A:

Q: [1 If A = 6 and |A|| = 1 Which of the following statements is true? O a. |A| = 3|A| O b. 12A| = 2|A|…

A:

Q: 2. How many of the following statements are correct? I. -4 is a rational number II. is an integer 1…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 25. The value of x in (7x is congruent to 12 mod 17) is O 16 15 9 13 (mod 17)

A:

Q: 215 = 32, 768. How many numbers between 0 and 215 are the sum of exactly three powers of 8? Each…

A: We need to find the how many numbers between 0 and 215=(23)5=85 such that the sum of exactly three…

Q: For each natural number n A, = (-→ 3+n U-1 Find UneN An and NnEN An

A:

Q: heck all thlat apply. 1 B 3 4

A:

Q: Solve the problem. In each of the following, tell what computation must be done last. a. 62/(11 -10…

A: (a) 62/(11-10+1) 62/(1+1) 62/2   (b)4(13-5) -21 4(8) -21 32 - 21   (c) (28-17) + (19.3) 11 + 57…

Q: 2.) Let U = {1,2,3,4,5,6,73, A={1,2,3,53, B = {1, 2.5.63, C=3,5,73. List all the members of the set…

A: Let's solve 2nd question.

Q: Which of the following expressions describes the sum 3 4 — с + 4 x* + H.O.T. 16 x° + Choose all that…

A:

Q: 87 + 27 1 3. 22 O v18

A: Given: The expressions, 312+212812 +2123.212182188 +2

Q: [1 2] If A = , then the adj A is 3 7 Select one: O None of the others 7 -2] -3 . 1 7 21 -3 -7 -2 -3…

A: