MATH 140 - Lecture 8 Worksheet 1. (a) How many lists of length 3 are there, if the first two entries are letters from the English alphabet, and the last entry is a number? (b) How many lists of length 4 can be made from the letters A,B,C,D, if repetitions are allowed? (c) How many lists of length 4 can be made from the letters A,B,C,D, if repetitions are not allowed? (d) How many lists of length 3 can be made from the lottora RCD :C

Q: Which is equivalent to the expression ry? z2

A: Here given expression

Q: Question 21 > 10 -8 -6 8 -5 4 -3 7 -8 7 [E] [D] = 8 2 -1 1 -2 9. 5 6 1 2 4 10 3[E] – 4[D] = -

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Q: Question 7 Calculate 9-1{ :} 55 +6 52 +65 +13

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Q: Evaluate the expression if a (4) ² - a -b = : 8, b = 4, and c = 16.

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Q: -4 -4 -1 1 -2 If A = 5-5 and B compute AB and BA, if possible. -2 -1 -2 -1 -4

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Q: QUESTION 7 If A=0 and B=1 then A NOR B is

A: NOR gate give positive output only when both input are negative.

Q: IF 1+ 1 then 22 3 1+ ] 32 +ㅗ 42 + +ㅗ S2 a 17 ? 6

A: The given problem is to evaluate the given series sum of the given series 1+1/32+1/52+... with given…

Q: solve Væ – 5+ Va + 2 = VII 11 -103/11 O -59/11 59/11

A: Solution :-

Q: Solve for X. -5 4 X = -8 8 X + [30 15]-[-5 7x = X -21 1 Submit Question

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Q: Question 7 Match the number expression on the left with an equivalent expression on the right.…

A: -11-(-15)=-11+15=(-11)+15   [2nd term]11 + (-15) =11-15     [4th term]

Q: 4a -2

A: The given expression is 4a-2a+9a-6a-4a to simplify the expression proceed as follows

Q: Quèstion 8 If det A = - 4, det B = 2, then det B2A1 = %3D -16 O -8

A: We know that  Det(A^-1)=1/det(A) Det(A^n)=(det(A))^n Det(AB)=det(A)det(B)

Q: Simplify completely: 22+5 3z +. z十1 z-2

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Q: Use the original problem to complete the missing parts for the problem below. Original Problem + 3 a…

A: We will use simple concept of addition and subtraction of fractions.

Q: 40 25

A: Given: Let us determine a perfect algebraic model of the given figure,

Q: 3. For which values of the constant c is where a and b are arbitrary constants? 9. C -0-0 a and a…

A: A Column (C1) is linear combination of two others columns C2 and C3 if C1 is linearly dependent with…

Q: 4. Consider the matrix A = (a) [ (b) [ 1 -1 0 -1 -1 0 2 -1 2 -1 -1 0 1 -1 ]Find an orthonormal basis…

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Q: Questions 37-40

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Q: If then and A = -4 2 2 2 -1 -3 AB= BA= -3 and B= 0 4-41 2 0 4 -3 0

A: If A=-42-222-3-1-3-1 and B=04-4204-301then to find AB and BA.

Q: Which expression is equivalent to 2x-2y-2, -? 4y-5

A: Our Aim is to find the expression equivalent to 2x-2y-24y-5-(i)

Q: If v-28 is subtracted from V-63, the difference is A i B B iv7 © -iv7 V-35

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Q: QUESTION 1 a) Solve the following: i. ii. -6 ≤2(-x + 4) ≤ 12 3(2x - 4) = 2[2x - 4(1-x)] iii. x+4 x +…

A: 1)i) 3(2x-4)=2[2x-4(1-x)] ii) -6<=2(-x+4)<=12 iii) (x+4)/2 + (2x-3)/5 =5 Repost the next part…

Q: y? 144' 64 3. Consider an ellipse = 1 (see figure 6).A line is drawn tangent to the ellipse at a…

A: Consider data based figure   co-ordinate of P(7,7) co-ordinate of Q (4,8) line QR passes through…

Q: Simplify completely: 10 글 + 9 글 + 8.

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Q: 1 1 x+a Simplify а H| 8

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Q: -5-6-7-8-9-- 1000 Check all the correct answer/s. 1001 Σ(1-2) Τ 0 -1000 2=-5 1070 ΠΕ T -I 1000 -Σε…

A: Please see the below picture for detailed solution.

Q: Solve the following а. х-4 2 3 3 b. х-2-1 <1 2 2

A: We solve given inequality

Q: solve for z 103-17z = 10-1-18z x 10–11+5z 10

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Q: Islamic Algebra

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Q: I am confused on Step 3 as to which one is the answer that I need to be looking at and I need help…

A: We have given that Mean(µ) = 9.9Standard deviations (σ) = 1.6X ~ N (µ, σ )= N (9.9, 1.6)n = 14 Mean=…

Q: Given a =a п — 1 + 2a n -2 with a =2, a, =7. n What is A and B if a =A2" + B(– 1)" -3 and - 1 3 аnd…

A: A sequence is a set of numbers that has a particular order or they obey a general form. Some…