(b) Consider the vectors u = (3,0) and 7 = (5,5). (i.) Find the size of the acute angle between u and 7. Angle= (ii). If = (k, 3) is orthogonal to 7, what is the value of k? k =

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A: Here, the given function is: f(x)=-0.589x2+38.1x-561

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A: Given query is to find the time when second car catchws with first car.

Q: 1.) 8(9x - 10) - 8(2x + 1) 6.) 6(x - 11) - (3x + 5) 2.) 6(2x + 11) - 6(7x - 3) 7.) 2(x - 1) - 3(4x -…

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Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A?

A:

Q: 3. Which of the following is the cofactor of the entry -l of the matrix A in tlhe previous item? (a)…

A: We have to find the cofactor.

Q: QUESTION 23 Let i -1 be the inverser function of a function f.lf fx) - 2/x-4. compute -(8)-

A:

Q: Fill in the missing values to make the equations true. (a) log, 7+ log, 8 = log, (b) log,- log, 2 =…

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Q: 1 2 5 9 Determine the inverse matrix of 69 A. 2-1 9. 5. B. 2. 1 5. 9. 1 -9 -5 D. 2 1 2. C.

A: Option A is true

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Q: log,x. %3D Consider the function f(x) (a) Complete the table and sketch the graph of f(x). f(x) 5 1…

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Q: 4.5) 7.56

A:

Q: A company manufactures microchips. Use the revenue function R(x) = x(72 - 4x) and the cost function…

A: Given that, revenue function is,                R(x) = x(72 - 4x) ; 1 ≤ x ≤ 20 and the cost function…

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Q: Graph. x 2 - 2 2x + y < 3

A: Given inequalities, x≥-2 2x+y&lt;3

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Q: units x + 5 -3 units What rational expression describes the area of this rectangle I-5 units? 522…

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Q: Q3) Solve the following boundary value problem using finite difference method given + 2y = 0 dx…

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Q: Cone A has a radius of 5cm and a height of 12cm. Cone B has a radius of 12cm and a height of 5cm.…

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Q: 3 Select each linear transformation T: R→ R°that is one-to-one. O T(x,y)=(x,x,x) O T(x,y)=(x,y,0) O…

A:

Q: 4. Write a quadratic function in standard form that passes through (5,0), (9, 0), and (7,-20).

A: We have to determine  valu of a, b and c

Q: each equation. (x – 1)² = 4 a.

A:

Q: olve the equation g(x) = - 2 for x if g(x) = – 0.6x + 3x + 6. (Use a comma to separate solutions.…

A: Topic:- algebra

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A: The given equation is D(h)=25e-0.45h The initial amount injected is D(0)=25e-0.45(0)=25e0=25(1)=25…

Q: 1. Find the range of the following: a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: Range of a data = Maximum value among the data -Minimum value among the data

Q: Express each of the following in the form a + bi e² = -2

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Q: QUESTION 16 Consider a function as pictured by the arrow diagram below. 1 • C d Determine if the…

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Q: manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells…

A: Given query is to find the Indicated function.

Q: v,w,x ∈ℝ^7 are non-zero vectors. Which of the expressions do and do not make sense. (v+w)/x w-(v⋅x)…

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Q: 110% b la 76 ACTIVITY 26.2 Instruction: Answer the following as indicated. (5 points each). Lines p…

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Q: This question has two parts. 1. If you have 800 grams of a substance that decays with a half-life…

A: Let's find substance remaining after 24 days.

Q: 5x3 +7= 12 X = and x =

A: To solve the given equation

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Q: 40 19) A radio station is giving away tickets to a concert. They plan to give away tickets for seats…

A: Follow the procedure given below.

Q: A ball is dropped from a height of 64 feet. It rebounds three-fourths of the height from which it…

A: This question can be solved using the concept of decay function.

Q: A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind.…

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Q: For a matrix A having JA| = 0, which of the following are true? * O A- exists with |A¬' |= 0| O A-…

A:

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

A:

Q: Let f(x)= -0.9x(x-8) and g(x) = 1.4x + 5.9 for 0≤x≤ 8 (A) Graph f and g in the same coordinate…

A:

Q: If f(x) = 9- 3x, find each of the following. (a) f(- 5) (b) f(0) (c) f(2)

A: Given function f(x)=9-3x

Q: -4 2. -2 3.

A: (2)11-41-21111=1-2111-11-411+11-4-21                      =1-2×1-1×1-11×1--4×1+11×1--4×-2…

Q: >) Given the matrices: (i) Compute det (45): (ii) Compute det (C100) - det (C99): 0 -3 3 3 0 -3 3 3…

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Q: /apply Gauss Elimination method to solve the equation? x + 4y – z = -5 x +y- 6z = -12 3x - y - z = 4

A:

Q: and the domain of the function using interval notation. To enter ∞o, type infinity. To enter U, type…

A: We can solve this as follows:

Q: B. Determine 2' 2 2 29 the domain and range of each of the following relations. 6. y2 = x2 + 2x - 3

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Q: Symbolize this problem as an equation and solve it. A student has test scores 35, 62, 67, 85, and…

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Q: 13.46 8Tt √₂ 9.2 8r 27 25

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Q: EXERCISE 1 DIRECTIONS: Choose the best answer from the fo 281. 1. Put the following numbers in…

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Q: given the function y=4logb(x+b^5)+3b, where b is some positive constant, which of the following…

A: The given data is: y=4logbx+b5+3b, where b is some positive constant. To find the value of the…

Q: nsformations to the graph of one of the six basic functions. entify the basic function and write an…

A: here we have to find out the function