If n(A) = 6, n(A ∪ B) = 8, and n(B) = 5,  then what is  n(A ∩ B)?

Q: 8) |(-6)| - ((1 – 3) - 2) + (-4)

A: Given: We have,     |(-6)| • ( (1-3)•2) ÷(-4)

Q: Why the final answer is 4sin(1+x)?

A: To simplify 4 sin 5x cos 6x+4 cos 5x sin 6x.To justify whether the final answer is 4 sin1+x.

Q: 1- l00

A:

Q: The product of ( -2) ×(-1)×(+3)×(0)×(-4)is ..........a) 24b)12 c)0 d

A:

Q: What is the answer to C(n, n-r+1)

A: The formula of the combination is given by: Crn=n!r!  n-r!

Q: (a) What is a12, a22, a23? (b) What is b11, b31? (c) What is c13, c31, c33?

A: given: A=2-356-54 B=4-35 C=732-43561-1 (a) What is a12, a22, a23?(b) What is b11, b31?(c) What is…

Q: So an = n 16 n+ 16 (n-1) 16 (n-1) + 16 = n - 16 n+ 16 I X 11 (n + 15) (n + 16)

A:

Q: (√−81 + 3)(√−25 − 1)

A:

Q: If a, =2 and a (A) 70 2n +a_, the sum of the first five terms is (В) 54 (C) 98 (D) 24 (E) 36

A: we have to find  a2 ,a3 , a4   ..........................

Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

A:

Q: What is the value of 7∑n=1(n2+3)?

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: →                      →               a = (−5, 3) and b = (−1, −2), so →   →   a + b = _____?

A: Given: a→=-5,3, b→=-1,-2 We know that sum of two vectorsp→=x1,y1,q→=x2,y2 is given by p→+q→=x1+x2,…

Q: For x2 + Bx + C = (x + a) (x + b), which of the followingmust be true?(a) ab = B and a + b = C(b) a…

A:

Q: 7. 8xly + 4x-4y-2 C. (2y + 1)(4x - 2) D. (2)(2y -1)(2r + 1)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 13(2)5 æ+8 – 6 (3)6 z+2

A:

Q: nd f(7zº + 5x³) dx Find + C

A: Given:     ∫7x6+5x3dx=∫7x6dx+∫5x3dx=7∫x6dx+5∫x3dxwe know that ∫xndx=xn+1n+1

Q: Evaluate: 1 -2 3 1 -2 5 3 -2| -2 1 -2 + 5 3 : 1 3. 3 1 -2 = 1(3 – (-10)) - 3(-6 – 5) + 5(4 – 1)…

A: Given-  1-2131-2553 To find- The value of determinant.

Q: If B = 101 -2 2 2 -2 -2 -1 then det (B5) =

A:

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Find, if possible, (a) AB and (b) BA.

A:

Q: What is the coefficient of d5e2c in (d+e+c)8

A: Given (d+e+c)8 = (d+(e+c))8= Cr d8-r (e+c)r8= Cr d8-r Ck er-k ckr8= Cr Ck d8-r er-k ckr8 We need to…

Q: 3(n+7) =  blank + 21

A: We have to solve

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: (12 – 8j)(4 + 3j) + 10

A:

Q: Find L-1 (s+2)2+16 2+16³.

A:

Q: S3 ¹(s²-2s+2)(s²+2s+2)· e. L-11 7

A: In this question, we need to find the inverse Laplace of the given function.

Q: What is w2 +w-20 / 48-3w2

A:

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

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

A:

Q: (a) 6 + 7 + 8 + 9 + ··· + 600 -- (b) 6+ 7+ 8+9+ ··· + k

A:

Q: а) 4(Зх — 5) + 2(7x + 3) = 8

A: topic - linear equation in one variable

Q: If n(A U B) = 20, n(A N B) = 3, and n(B) = 13 , what is n(A) ? Your answer

A:

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: 4)3√2 +(12) 5√64

A: We have to find the value

Q: 5(n − 7) = 35 + 5n

A:

Q: (n³+7n² +14n +3) (n+2)

A: We have to solve above question and find quotient

Q: 1.If 10C0+11C1+12C2+...+15C5+16C6 = 17Ck+1 then k = _____.

A:

Q: what is 2(p+4)=2

A: Step 1:  2(p+4)=2 Step 2: 2p+8=2 Step 3: 2p=2-8 Step 4: 2p=-6 Step 5:  p=-6/2 Step 6: p= -3

Q: Suppose P(AIB) = X and P(A n B) = 8 What is P(B)?

A: P(A|B) = 14P(A∩B) = 18P(B) = ?

Q: If B ♣ Q = B2 - 2Q      what is (-5) ♣ (2) =

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.