(3) What is the order of (8,2, 5) in group Z12 × Z6 × Z7. (For this question, I don't need a strict proof, but you need to write down your calculations step by step and explain it.)

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: ) and () -1 -2 -1 4/ 2 0 The product of

A: The given matrices are: A=-1322      and     B=-20-14

Q: Q4: Answer (3) only : 1-1+1+²+³+{* =? (a: 41+1 b:-1 2_12+3al-4b-271, then a+b-? (a:-9 3- The…

A:

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: 4.) -8n + 4(1 + 5n) %3 -бп — 14

A:

Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: 10-9) x (9-8) x (8-7) x …. x (3-2) x (2-1) = A) 1 B) 9 C) 10 D) 11

A:

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: (15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is…

A:

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: 11.) What is an equivalent form of 4 5+i -?

A:

Q: (2) (a) What is the order of (Z20, +20)? (b) What is the order of (Z20, 20)? (c) What is the order…

A:

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

A:

Q: In Z12, what is the order of a +b if a = 6 and a = 2? 3 A C B.

A: SOLUTION-

Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: If n(A) =130, n(B) =135, and n(A ∪ B) =250, what is n(A ∩ B)?

A: According to the given information in this questionWe are going to find n(A and B)

Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: 1. Can you reduce this expression?  (x2 + 3x)/ (2x - 1) 2. Aren't there math symbols available on…

A:

Q: For each of the following, perform the indicated computation. (a) (97+43+ k) - (57-3+ 10) = 1. (b)…

A: Find (a) (9i→+4j→+k→)-(5i→-j→+10k→)=?(b) (-i→+8j→-4k→)-3(-9i→-j→-3k→)=?

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)…

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}.

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 69, find n(A ∩ B).

A: Given, n(A ∪ B) = 99 and n(A) = n(B) = 69   The objective is to find  n(A ∩ B).

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: What is the conjugate of 3- 2/5?

A: conjugate is where we change the sign in the middle of two terms . So ,conjugate is 3+2√5

Q: For each of the following, perform the indicated computation. (a) (5 ỉ – 7j – 7k) – (-6ỉ – 83 + 7k)…

A: To simplify the vectors:

Q: Explain How does = K/K+1)/2K+1) + / K+ 1)² = + (K+1) (2K² + K +6K+6) to me:

A:

Q: 1. Let -1 3 [1 2 3] A = 2 1 4 [1 2 3] 0 1 2 -4 1 and C 2 1 -3 Find the following: (a) 24 (b) 2АB (c)…

A: Solve by matrix operations

Q: 4-1) Compute the following arithmetic operations that are used in different stages of the previously…

A:

Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Compute: -57 5 + [ 5 0 -1

A: Given data

Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: Multiply. (z-4)² O None of these Oz²-82-16 z² +8z+16 Oz² +16 z²-16

A:

Q: 1) х*- 27 2 - A) (x – 3) B) (x- 3)(x² + 3x + 9) C) (x+ 3)(x² – 3x + 9) D) (x – 3)(x + 3)

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Calculate 3 2/5 + 1 2/3 in two different ways. a) In each case, express your answer as a mixed…

A: Do the addition as given in the figure. One way is by doing addition in fraction form and the other…

Q: (a) (10432); to Octal system (c) (13D9E)16 to Quinary system Find the integers m, n such that 18m +…

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Q: If n(A) = 104, n(A ∪ B) = 140, and n(A ∩ B) = 46, find n(B).

A: n(A) = 104 n(A ∪ B) = 140 n(A ∩ B) = 46

Q: Evaluate the following. (Remember to show your working, and give the exact answer.) (a)…

A: