Suppose that y varies directly with x, and y=20 when x=32. (a) Write a direct variation equation that relates x and y. O=D Equation:| (b) Find y when x = 24 .

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A: ANS: (0.693, -0.397) & (-1.1443, -2.8334)

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A: Given: -2b+2c=42a+4b-2c=-66a+8b-2c=-5

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A: Given problem:-

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Q: Problem 12-31 (LO. 4)

A: answer is in next step

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A: We are given the function P(t) = t2(2t+3)5 Task:- Finding of the P'(t)

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A: A debt of $9000 is to be amortized with 6 equal semiannual payments. If the interest rate is 7%,…

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A: Given:      a)  4-2k-843    Adding 2 times the first row of the matrix above to the second row we…

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Q: Y=2×+1 3×+2y=16

A: y=2x+1   ....(1)3x+2y=16 .....(2)Two equations with 2 variables are given;can be solved by…

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A: Solution: Let U be universal set &amp; A, B ⊆ U

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A: x+ y/6 + z/3 = 29/6 y + z/3 = 5/3 z =2 here given z =2 put in equation y +z/3 = 5/3 y + 2/3 = 5/3 y…

Q: 1. -2 4 For the matrix B = 1 what is the value of |B|? 0. 7. 3. A. 8 B. -2 C. 4 D. - 5

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A: We know that if there is a function f(x)=y then x,y∈f.

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Q: Find a, and d for the following arithmetic series. S=315, a,, =42

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Q: Participation Activity #12 This is similar to Try It #8 in the OpenStax text. (2+4)² (x–2) 2(x–1)2…

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Q: Demand Supply p = 80 – 0.03x p = 41 + 0.1x (x, p) =

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A: Given,          The linear system of equations are           x1+4x2-4x3=14…

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A: Let  -11x2-31x-24x+2x2+4x+5 = Ax+2+Bx+Cx2+4x+5

Q: Find a, for the following arithmetic sequence. S,2 = 330, a12 -55 a.

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Q: 1. ry dy dr О а. 32/3 O b. 18/4 О с. 32/4 O d. 16/2

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Q: are the elements of g(A). e21   e11

A: answer is in next step

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

Q: $791,000

A: answer is in next step

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Q: 7x 8 yz 4 yz 21x z ,3

A: This question can be solved by cancelling the common terms in numerator and denominator.