Define the binary operator :) by: a :) b = 3a + 2b + 8 %3D Find each of the following: a. 9:) 6 = b. 7 :) 7 c. 6:) 9 = %3D d. u :) р 3D

Q: 10 Re(1 + i)¹⁰ Select one: O a. 0 O b. 1/2 O c. 3/4 O d. 5/6

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Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

Q: a. (371) b. (318) c. (3-1-8) d. (381) e (31-8) Index the following set of planes:

A: Given Information:To find:The indices of the given set of planes.

Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

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Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: Match these values of r with the accompanying scatterplots: 0.758, 1, - 0.996, - 0.758, and 0.996. W…

A: The correlation coefficient is the measure to tell how strong is the relationship between two…

Q: -4 c4x Evaluate . So S dydx.

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Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

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Q: en A={x,y},B={1,2,3} and C={m,n}. How many orderd pairs are there for A×B×C

A: To find how many ordered pairs are there for A x B x C

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: CHECK YOUR PROGRESS O Let Y = {a, b, c} and Z= {1, 2} a. Find Y x Z. b. Find Z x Y. c. Find Y x Y.…

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Q: Let A = {small, medium, large}, B = {blue, orange}, and C = {triangle, square}. List the elements of…

A: The objective of the question is to find the Cartesian product of sets A and B. The Cartesian…

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: 0FXS 25 -F

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Q: Let y=cscx then d³ y dx³

A: I am attaching image so that you understand each and every step.

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: Simplify each expression

A: Simplify each expression

Q: 13

A: Consider the integral

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: Find the following

A: The integration rules used here are  1. ∫fx±gxdx=∫fxdx±∫gxdx2. ∫xndx=xn+1n+1+C

Q: A1 0.8 a.) Find Ø A4 1 2 A2 АЗ 0.5 2. 1 1.2 1.5 2 2 1.2 1.8 0.4

A: Solution is here

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

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Q: 4x2 + 4xy + y2

A: Given query is to simplify the expression.

Q: Find the following : e8z+e9 dz e 8z

A: To integrate

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: If a = (2, 4, – 1, 3) then ||-3a|l,= Select one: а. 30 b. -30 c. 27 d. -27

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Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: GiventheuniversalsetU={1,2,3,4,5,6,7,8},setsA={2,4},B={1,2,8},andC={1,2,5,6}, calculate the…

A: It is given that the universal set is U = {1,2,3,4,5,6,7,8} where Set A = {2,4}, Set B = {1,2,8} and…

Q: If OS = 8, ST = |2, and OV = 10, then oW = 24. then VW = %3D If OS = 8, ST = 12, and OW = %3D

A: From given figure, OSST=OVVW812=10x8x=120x=15OW=OV+VW=10+15=25

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: а.) у 2 2х- 6

A: