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

Q: 2/10n+12+3r

A: Given 2(10n+12+3r)=2(10n)+2(12)+2(3r)

Q: What is b÷18=4

A: Given that  b ÷ 18 = 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: What is y×5÷10?

A: y/2

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A:

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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: If Fib (17) is equal to 1597 and Fib (18) is equal to 2584, what is Fib(19)?

A: Given: Fib(17) = 1597 Fib(18) = 2584

Q: Prove : (A-B)n C =(A n C) -B

A:

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: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: Determine the terms considering y20 in the expression of ((x÷3)+2y2)15

A: Binomial expression.

Q: If B = 101 -2 -2 -2 122 then det (B5) = 0

A:

Q: Evaluate: -4 2 0 2 3 1 (a) 3 1 0 2 1 3 0 3 2 3 (b) 4 2 1 -5 - 1 t - 2 -1 -2 (c) 2 t - 3 | t +1 t - 3…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Is this a r

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

A:

Q: Evaluate 4 [^3(3²) + 3(1²) dz =

A:

Q: simplify-(n+5!) (n+3)(n+a)!

A:

Q: what is 14y + 49 = __ ( 2y + 7 )

A:

Q: Let A = {1, 13, 100} and B = {7,13}. Then: (a) What is AU B? (b) What is An B? (c) What is A × B?

A:

Q: (12 – 8j)(4 + 3j) + 10

A:

Q: Find L-1 (s+2)2+16 2+16³.

A:

Q: Find the formula for 1+2-3+4-5...

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Q: what is the difference of A and B if A={ 14 6 7 8} and B= {1 7}

A: This question is based on set. Difference of A  and  B  = A - B means element of  A  which is not…

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

A:

Q: 1. What is the product of the expression (x - 7) (x - 3)? A. x² + 4? + 21 B. x² - 10? + 21 C. x² -…

A: topic - product of algebraic expressions

Q: 17. Simplify the following into complex numbers of the form a + bi. (a) √ 2√8

A:

Q: f 98 + 3a = 4b, what is a in terms of b?

A: Given, 98+3a=4b what is a in terms of b

Q: 4)3√2 +(12) 5√64

A: We have to find the value

Q: Simplify: m+n (m -n)+m (m +n) -mn m'- 71 m+n

A:

Q: a) Find the sum of x+2x-5 x2+12x+35 and a+7* b) State the domain.

A: We have to find the sum and domain

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

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: 4 1) L-^ { 2x-3 5²-4x+8.

A:

Q: 320v-2880³ +2560 = 0

A: I have stated the used formula at the bottom of the solution.

Q: (5÷9)+18

A:

Q: In a three-digit number, the digit at the hundred's place is two times the digit at the unit's place…

A: