Write the general term(rule) of the arithmetic sequence whose third term is 32 and whose eleventh term is -48. Then, find the eighth term.

Q: A =     -5   1     and   B =    3    -6                3   2                       2    -3  a)…

A: Given: A=-5132   Definition: if A=abcd then determinant of A is |A|=ad-bc

Q: An object is launched from a platform. Its height (in meters), x seconds after the launch, is…

A: Here is the solution

Q: x +x-5 (1) Find lim- * 1-2x -x

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Q: a) Does B - A =C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c)…

A: A-B=x∈A and x∉B = A∩Bc

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. ... h(x)…

A: f(x)=8x+2 g(x)=8x+2 f(x)=(h∘g)(x)=h(g(x))

Q: (d). $5,680 invested at 7% for 9 months. Balance = $ Number %3D Interest = Number %3D %24

A: Compound interest

Q: If you have an investment of $1000 that grows at a rate of 6%, compounded annually, how much will it…

A:

Q: Solve each equation. 7p+2 - 343

A: As we know from the exponent rule; If am=an then m=n   Given: 7p+2=343

Q: A -5 has two distinct real eigenvalues if and only if k>

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Q: If you have an investment of $1000 that grows at a rate of 6% compounded annually how much will it…

A: We can find the worth after 10 yrs as below

Q: 2. -7+5m³ + 9m - 3m2 a. Standard form: b. Classify by degree: c. Classify by terms:

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Q: C. Given: Square ABCD. 9. If ABCD is a square, then what is m LACB? 10. If ABCD is a square, then…

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Q: 2 4 Let L be the line given by the span of in Rº. Find a basis for the orthogonal complement L of L.…

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Q: 2. Interest: A woman invested part of $20, 000 at 6% interest and the rest at 7%. If her annual…

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Q: The following table gives the total number of U.S adults with diabetes for selected years from 2010…

A: To Find: a. Find the logistic function that models these data. b. Use the model to predict the…

Q: What is the monthly payment on a 30 year, $627,000 mortgage, with an interest rate of 4%, compounded…

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Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 8)]

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Q: Find A, and b such that Ax = b corresponds to the given linear system. 7x1 – 4x2 – 3x3 = -6 - 5x1+…

A: 7x1-4x2-3x3=-65x1+4x2-8x3=2Ax=b7-4-354-82×3 x1x2x33×1 =-622×1

Q: In which entire interval is the function increasing? A function is graphed. 140 A) o to 5 120 B) 1…

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Q: Solve the quadratic equation ~make sure quadratic equation is in standard form~ x-1 / x+5 = 12 /…

A: Standard form of quadratic equations is : ax^2 + bx +c = 0

Q: You plan to take a 2000-mile trip in your car, which averages 32 miles per gallon. How many gallons…

A: We can explain the answer in the following steps.

Q: -4 1 -5 The matrix A = 8 0 3 1 2 has an eigenvalue A = -2. -2 Find an eigenvector for this…

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: To write the given equation in exponential form .

Q: Determine whether each of the following statements is true or false. You do NOT need o explain. The…

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Q: Find the constant of variation and write the formula that is expressed by the indicated variation. y…

A: Given query is to find the constant of variation.

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

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Q: Matrix A is factored in the form PDP1. Use the Diagonalization Theorem to find the eigenvalues of A…

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Q: 13. Suppose the average cost of electricity is $0.25/kWh. Solar panels cost $100/sq ft and you want…

A: We need to find cost and break even.

Q: wo vector fields are F = -10ax + 20x([y – 1) ay and G = 2xty ax – 4ay + Zaz. For the moint P(2, 3,…

A:

Q: A=

A: The given matrix,  A=8k6-6

Q: 4) Working alone, Carios can oil the lanes in a bowling alley in five hours. Jenny can oil the same…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 15. Art and physical endurance enthusiasts compete in an annual race called the Kinetic Sculpture…

A: Given : Art and physical endurance enthusiasts compete in an annual race called the Kinetic…

Q: Find the amount invested in a saving account so that the balance at 8% interest compounded daily is…

A:

Q: 5 (-3,3) 3 -7 -6 -5 -4 -3 -2 -1 0 2 3 4 5 6 1 -1 -2 -3 4 -5 -6 -7 d.) 6 4) 2)

A: Given query is to find the intersection point of the equation.

Q: 1. Solve the system. Be sure to show all work. -2x + 4y = 3 3x- 7y= 1

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Q: Solve the quadratic equation ~make sure quadratic equation is in standard form~ A) Solve the…

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Q: 36. 3+ Va 2-2V8

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Q: QUESTION 6 If you save $180 per month for retirement in an account that earns 6% interest per year,…

A: Given query is to find amount accumulated.

Q: Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and…

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Q: Determine the equation of parabola with vertex (4,-5) and goes through the point (-1,-3).

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Q: Find the characteristic polynomial and the eigenvalues of the matrix. 6 - 1 The characteristic…

A: We have to find characteristics polynomial and eigen values for the given matrix.

Q: Art and physical endurance enthusiasts compete in an annual race called the Kinetic Sculpture Grand…

A:

Q: 9. Write an exponential function for the ordered pairs given in the following tables. a) 2 3 4 12…

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Q: Use a software program or a graphing utility with matrix capabilities to find the transition matrix…

A: Let, 1000=a4-3-2-2+b-3322+c-1111+d-1112⇒abcd=4-3-1-1-3311-2211-2212-11000⇒abcd=1100

Q: 1. -2x2+x* +3 a. Standard form: b. Classify by degree: C. Classify by terms:

A: a ) given equation:- -2x2+x4+3 Standard form :- Let x2=t  So equation becomes in standard form…

Q: 2. The purmeter of a triangle is 38 yarda. If the lengths oF two Sides ares It yards and 17 yards.…

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Q: Solve the following equation. y* + 3y - 28 = 0 y= -2,2,2 i,-2 i (Type exact answers, using radicals…

A: We will find the roots of the equation.

Q: A rectangular field is 0.4 kilometers long and 0.3 kilometers Conversion facts for length wide. What…

A: Given: long l=0.4 kmwide w=0.3

Q: 6x 13. 0000

A: 4) To write the mixed fraction from the given figure.

Q: F(x)=3x^4-9x^3+5x+14 What is the remainder? Is x-2 a factor of f(x)=3x^4-9x^3+5x+14

A: Divide the polynomial  for finding the remainder.