7. Given that a = -3, a2 = = 4, and a, = 3a-1 - 5a-2 for n 2 3. What is a;?

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: -3x Suppose /(x)- Evaluate: -3x 3- In (5) 3x 3- B. +C In (5) AIn (5) +C 3 517

A:

Q: (4)if A = [ 1,B = 3. [4 -3. 2 and C = find . -2 6 -4. det(A), det(B),A¯1,B¬1 and C-1.

A:

Q: 7. If 23a+7 = 16a+1, what is the value of a ?

A:

Q: 3. If AABC-AZXY, mZA- 50, and mzC-30, what is mX?

A:

Q: what is 2t+4s if t=5 and s=3

A: The given expression is 2t+4s.

Q: Suppose ?:ℝ→ℝ where ?(?) = ⌊? / 2⌋.  a. If ?={?|1≤? ≤6}, find ?(?). b. If ?={3,4,5}, find ?−1(?).

A: Consider the set A=x:1≤x≤6 and B=3,4,5.  The function Fx be x/2 is defined on ℝ→ℝ.

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: If X = 17.34, s = 5.45, and M = 24.88, what is z?

A: Given: X = 17.34 s = 5.45 M = 24.88

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: Given that 3 -2 1 A= 5 0-2, B = 40 1 14 Evaluate T -3A + 2B 81 -2 4 2 9 -

A:

Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

A:

Q: For how many ne {1,2,., 490} is n a multiple of one or more of 9, 8, or 7? ...

A:

Q: Given:  A={−1,0,1,2} and B={a,b,c} Is A×B=B×S?  Is (1,c) ∈ AxB?

A:

Q: If ged (m,28)=4 and ged (8,7) = | ,then m- | ) ५ (012 b) 15 4)5 9 cd (ज) 2 8 ) - 4 gedt 28/-4 4 3.…

A: Yes your reasoning as well as answer is correct.

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: Converges or diverges

A:

Q: Assume that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35. Find n(A∪B):

A: Given that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35.   From n(B′)=62 we…

Q: 2. If n(A-B)-18, n(A U B)-70 and n(A N B)- 25, then find n(B). a. 50 b. 48 c. 52 d. 60

A: This question is related to set theory.

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: Show that if l a - 5 I < ½ and l b - 8 I < ½, then we can conclude that l (a + b) - 13 I <…

A: Given that a-5<12   and   b-8<12. This implies that,

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: 11.32 question attached. Thank you for answering my question!

A: It is given that X and Y are independent normal random variables.The required probability is:

Q: If it was 3 A = [ ³₁ 2] 4 So 4² = 123 20 8 5 - A 16 A² = [¹64] - B 9 13 5 A² = [ - 11/2 - C A² = [16…

A:

Q: Consider, C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N} What is C ∪ D?

A:

Q: 1. If RX is 9, XV is 2 and TX is 6, find XS.

A: As per guidelines, we will solve first question only. 1. Given  RX¯=9, XV¯=2, TX¯=6

Q: Please refer question in attached image

A: We have given the matrix

Q: 3. If A-[-1 2 3, B=-4, then det(AB)= Select one: о а. 11 O b. -5 C. -11 O d. 5

A: Given A=-123 and B=3-40AB=-1*3+2*-4+3*0

Q: C.

A: Arc angle is twice of intercepted angle.

Q: f m: n=5:3, find 3m +4n : 6m -2n

A: If m: n=5:3, find 3m +4n : 6m -2n

Q: What is the coefficient of x' in (3-x)10 O a. -C(10,3)* 33 O b. C(10,3)* 33 O . P(10,7)* -33 O d.…

A:

Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: (3) if y=(65(4+) 2= Sim(r+s find oW 72 whern al,S=-.

A:

Q: 8.Show that for nZ. 13.3.-(21-1) 2n 2.4.6..2n.

A: We have to prove given result:

Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: Given that SST = 270, R ^ 2 = 0.75 and n = 40 , then the value of SSE is : 76.50 57,50 65.70 67.50

A: R  2 = 0.75 SST = 270

Q: If S., t, = \n(n+1)(n + 2)

A:

Q: 1. If a=5, b=7, c =4, what is b x c - a + b^2 - (b-a)^4 /c + b -a? *

A: topic - algebraic operations

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: 1. If X ~ N(200,2²), find а) Р(X < 197) b) Р(Х < 200 .5)

A: Note: According to Bartleby, expert solve only one question and maximum 3 subpart of the first…

Q: - If p(A) = 0, p(B) = and p(A and B) = 19 100, are A and B independent?

A:

Q: If with n(F)=25, n(B)=12, n(T)=30, we have n(F∩T)=6, n(T∩B)=4, n(F∩B)=3, and there are 2 members who…

A: It is given that the number of members in team F ‘n(F)’ is 25.

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

A:

Q: 5 If A=[1 ° 3],B= A.B is . . 4-

A: Given that  The two matrices are  To find the product of the two matrices

Q: Which of the following is equivalent to 12 n=1 60 13 60 13 O-20 20 5 8 ?

A:

Q: Therefore, b(1 - a) P2 +c(1- a) P = 6BPQ + cBQ + aP, (31) b(1 - a) Q? +c(1 - a) Q = 6BPQ + cßP +aQ,…

A: So we have to show how the equation (33) &amp; equation (34) comes from equation (31) and equation…

Q: M Show that A(5,-4) B(7,-4) c(5,2) Is a right A.

A:

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a4 (a) In 62c-2 (b) In vbc-a In(a-b-4)…

A:

Q: ,a, = 3, a2= 4 and for n 2 3, a, = 2a,-1+ an-2 + 5, express a, in terms of n.

A: Solution

Q: If x is not equal 3, which of the following is equivalent to 5x = 8+ 12 2-3 05= 20 2-3 I-3 12 1-3 5x…

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.