Find the distance between u= 0 - 5 and z= 3 -3 - 1 7 The distance between u and z is (Type an exact answer, using radicals as needed.)

Q: Consider a linear transformation T from R2 to R2 for which Find the matrix A of T. 188 A = ¹ (C)) =…

A: Consider a linear transformation  from  to for which  and .To find the matrix  of .

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A: Given:We are required to find:

Q: (x)=2x^3+x^2-25x+18 Use the rational zero theorem to list possible rational zeros for the polynomial…

A: The polynomial function is .We have to find all possible rational zeros for the polynomial function.

Q: f(x)=-3x+4 g(x)=x² The graph of k(x) is shown on the right. ((g-f))(-2)= No decimal. 0 4 6 8

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Q: The matrix has eigenvalues -3, 1, and 4. Find its eigenvectors. The eigenvalue -3 has associated…

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Q: - 2 For what values of h are the vectors 6 LO CO 8 and 24 linearly independent? h A. The vectors are…

A: a) No for example:-=b) Yes

Q: Let y = 1 [3] and u = 7 Write y as the sum of a vector in Span {u} and a vector orthogonal to u.…

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Q: Erin decides sell candles to raise money for her trip to summer camp. At the store, Erin buys wicks…

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Q: F(x)=x^4+8x^3-9x+9 List all possible rational zeros for this function

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Q: 3x² + 3y²-18-6y - 18 = 0 is the equation of a circle with center (h, k) and radius r for: and and T=…

A: Given:We are required to find:

Q: Evaluate the expression - 8 - 2i -5 + 3i * and write your answer in the form a + bi. a = and b =

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Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

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Q: Compute the quadratic form x Ax for A = --- b. x = a. x = T a. x Ax= T b. x Ax= T C. X AX = 8 3…

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Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is…

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Q: a. Provide a drawing for what one square foot would look like. b. How many square inches are in one…

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Q: Use the exponential decay model, A=Aekt, to solve the following. The half-life of a certain…

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Q: f(x) = 6x³ - 3x² - 4x+6; f(-2)

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Q: Instructions: If y� varies inversely as x� and y=7�=7 when x=−4�=−4, find y� when x=2�=2. Write the…

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Q: The matrix has eigenvalues - 2, 0, and 5. Find its eigenvectors. The eigenvalue -2 has associated…

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Q: + 7 ((x²2₂) = [(²³ x 1 + x ²2₂] (ii) Find the matrix representation of T relative to the standard…

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Q: Maricopa's Success scholarship fund receives a gift of $ 155000. The money is invested in stocks,…

A: Let fund invested in stocks = sfund invested in bonds  = bfund invested in CDs = cTotal fund…

Q: The fox population in a certain region has a continuous growth rate of 6 percent per year. It is…

A: Given conditions:The fox population in a certain region has a continuous growth rate of 6 percent…

Q: Can you explain which properties and methods you used and why specifically they were used.

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Q: 5. Find the sum of the first 50 terms for the arithmetic series below. -50,-38, -26, -14,...

A: -50,-38,-26,-14.......

Q: You have been asked by the structural engineering department to find the determinant and inverse of…

A: The solution is shown in step-2

Q: Question 15 -intercept: Use the intercepts to graph the equation. x=0 enter DNE. y-intercept: enter…

A: We have to find the x and y intercept.

Q: A hot bar of iron at 1100 degrees Fahrenheit is quenched in oil at 350 degrees. After 2 minutes, the…

A: initial temperature T0 = 1100°Sorrounding temperature Ti = 350°Temperature after 2 mins T = 750°

Q: Let A = PDP 1 and P and D as shown below. Compute A 25 D= A+= (Simplify your answer.) 20

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Q: 2 Find the center and radius of the circle whose equation is ²- - 2x +y +y-14 = 0. The center of the…

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Q: Perform the indicated operation. If f (x) = log 6x, find the following values. (a) f (√6) (b) f (0)

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Q: Find the time required for an investment of 5000 dollars to grow to 7300 dollars at an interest rate…

A: To calculate the time required for an investment to grow to a certain amount, we can use the formula…

Q: Our galaxy is estimated to be 5.6 x 1019 mi, across, How many years would it take a space ship…

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Q: Let A = ;] 17 Write 2A. Is det(2A) equal to 2det(A)? 2A= (Type an integer or decimal for each matrix…

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Q: 3. Use Cramer's rule to solve the system; x + 3y + z 2x - y + 3z 3x + y - z = = = 1 -2 1

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Q: I am doing a persuasive speech on the increase in student loan debt. I want to use a graph that…

A: The solution is shown in step-2

Q: Suppose that $2000 is loaned at a rate of 7.5%, compounded monthly. Assuming that no payments are…

A: principle amount = 2000

Q: In supply (and demand) problems, y is the number of items the supplier will produce (or the public…

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Q: F(x)=9x^3+x^2-62x+48; x+3 Use the factor theorem to find all real zeros of the polynomial function

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Q: 4. Approximate (ln(4.03))(5.02)²

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Q: If the area of a rectangle with width x can be represented with the expression A(x)=x(14-x), what is…

A: it is given that the area of the rectangle whose width is x is

Q: You have one type of nut that sells for $3.70/lb and another type of nut that sells for $8.00/lb.…

A: A.let the required lbs of cheaper nut = x ThereforeRequired lbs of expensive nut = 30.1- x

Q: Find the eigenvalues and eigenvectors of the given matrix. 400 001 0 1 0 The eigenvalue(s) is/are…

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Q: Find the time it takes for $5,000 to double when invested at an annual interest rate of 6%,…

A: (1) To find the time it takes for $5000 to double when invested at an annual interest rate of 6%,…

Q: if f(x)=x^2-x+2 and g(x) = x- 2, find h(x) such that f(x)=g(h(x))

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Q: 3. Consider a function involving the height over time of a ball thrown into the air. Which would be…

A: we are given that there is a function which involves height over time of a ball thrown into the air.

Q: Find the zeros of the following quadratic function using the square root method. What are the…

A: The zeros and the x intercepts of a function are same.

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=x+1 t(x)=2x+6…

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Q: Find the difference of the polynomial functions. (Simplify Your answer Completely). Р R(X) - 6x²…

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Q: IPS Corp. will upgrade its package-labeling machinery. It costs $850,000 to buy the machinery and…

A: Initial cost =850000 Operation and maintenance cost =11000 For the first 3 years and increase by…

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

A: To find a polynomial function of degree 5 with  as a zero of multiplicity 3, 0 as a zero of…