QUESTION 8 Consider the line y=x, what is a reasonable unit normal vector to the line? O [1,1] O [0.707, 0.707] O [1,-1] O [0.707, -0.707]

Q: Write the expression as a logarithm of a single expression. Assume that variables represent positive…

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Q: Find the quotient using long division -4x²+29x-7

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Q: Which inequality best represents the graph shown below? y A 3x-4y <-12 9 8 B 3x + 4y - 12 87 7 6…

A: Consider the given graph :

Q: 7. Let N = {An: n = 1, 2, 3, ...} where An = (−1+1, 1-2). ). Find US and n . Prove your conjecture.

A: We can find union and intersection of the given set .

Q: Solve the following quadratic equation by completing the square. Simplify the solutions and…

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Q: Do the given vectors form an orthogonal basis for R³? V₁ = Yes, the given set does form an…

A: The given vectors are v1=10-1,v2=121,v3=1-11. We have to find the Linear combination for w=111.

Q: Consider the symbol constellation shown below. Let the radius of the inner and outer circles be…

A: According to question,Given radius,Inner radius r = 1,Outer radius R = 2,α = 30oβ = 60o

Q: In Exercises 51-56, use t 51. 54. log.x = -2 8₂x = 3

A: Given query is to find the value of x.

Q: Find two numbers whose sum is 10 and whose product is a maximum. The two numbers are (Simplify your…

A: let two numbers is x and y sum is  x+yx+y=10pyoduct is p=xy for product maximum  d2pdx2&lt;0

Q: Write the augmented matrix as a system of equations -8 0 -3 350 -4 1-1 250 3 0 1 100

A: Solution: Given: -80-3350-41-1250301100

Q: APPLICATION: Evaluate composite functions. B. If f(x)=x2-5x and g(x)=4x+3, find 1. (fog)x 3.…

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Q: If log₂ (5x + 4) = 3, then x = You may enter the exact value or round to 4 decimal places. Video…

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: ||| = Divide. O EXPONENTS AND POLYNOMIALS Dividing a polynomial by a monomial: Multivariate (-11x³u…

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Q: Let 1₂ Calculate the eigenvalues of A and an eigenvector corresponding to the greatest eigenvalue.…

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Q: A construction crew is lengthening a road. Let y represent the total length of the road (in miles).…

A: given  y=57+3xwhere y is repesent total length of road x represent total number of days crew has…

Q: Rewrite the fraction in the sentence below as a percentage. 19 20 Of the markets in a certain city,…

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Q: The sum of the reciprocals of two consecutive numbers is 11/30. Determine these numbers…

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Q: (2) A and B have a number of marbles. The total number of marbles is 24. If A gives B 6 marbles, the…

A: A and B have a number of marbles. The total number of marbles is 24. If A gives B 6 marbles, the…

Q: The amount of income tax T equals T left parenthesis I right parenthesis, in dollars, owed to the…

A: Given:T=TI ,        T is linear function of I.   Where, I=Taxable income  in$T=Income tax…

Q: An astronaut on the moon thro a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial…

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Q: nd the quotient for 4m²-3m+7 m+3 using synthetic division. Clearly indicate your quotient.

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Q: Express f(x) in the form f(x) = (x - k)q(x) +r for the given value of k. f(x) = 3x4 +5x³-11x² + 16;…

A: Given query is apply synthetic division.a

Q: For the synthetic division below what is the dividenc -716 6 08 -12 -42 294 -2114 -42 302 -2126

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Q: Solve for : log(x) + log(x + 4) = 7 I= You may enter the exact value or round to 4 decimal places.

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Q: Use the Laws of logarithms to rewrite the expression 16 x√x-1 In 3x - 8 Question Help: Video Message…

A: Given query is to expand the expression.

Q: 14. Solve the rational inequality 3 x +4 ·> 2x x-1

A: NOTE: Refresh your page if you can't see any equations. .

Q: QUESTION 5 Simplify the following: -8.3² + 14÷2-4² -63 -81 -95 81 QUESTION 6 Simplify the following:…

A: Given: 5) -8×32+14÷2-42 6) 4x5-3x3-4-7x5-4x4-2x3-4

Q: a. Find the diagonal entries of AB by inspection. 60 0 B = 1 5 0 32 6 A = 40 -2 0 -3 0 0 7

A: The given matrices are, A=400-200-307, B=600150326 We have to find the diagonal entries of AB.

Q: Find slope of the line that goes through points (2, 3) and (4,7). 02 -2 O 1/2 none of these answers

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Q: Find the equation of the line joining the points (2, -8) and (5, 6)

A: We have to find the equation of the line joining the points 2,-8 and 5, 6.

Q: Find the length of OR. R = (7,3,3) ||OR||=

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Q: Write a quadratic equation with integer coefficients that has the given roots. x = 4√2, x = −4√2

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Q: Rewrite the vector equation r(t) = (−1+ 5t)i + (−3 − 5t)j + (5 + t)k as the corresponding parametric…

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Q: Simplify. Express your answer as a single term, without a denominator. z^–30 . z^-37

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Q: Write an equation of a function that has the following x intercepts (-3,0)(-2/5)(0,0)(9,0) in…

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Q: Find y as a function of x if y(1) = 1, y'(1) = 4. y = x²y"-7xy' + 16y=x6,

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Q: Describe the graph of f at the given point relative to the existence of a local maximum or minimum.…

A: The Solution is given below

Q: he Annual Return is the average Annual Percentage Yield (APY) of an investment over a TT-year time…

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Q: Joy pays $9,500 for shares in a new company. She sells the shares 10 years later for $21,000. What…

A: We have given  Initial value of the shares = $9,500 Ending value of the shares = $21,000 Total…

Q: → (c) How many surjective functions f: {1, 2, 3, 4, 5} {1, 2} are there if f(1) = 1? How does this…

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Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: Joe and v are driving separate cars to Los Angeles. They begin the trip with full gas tanks. The…

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Q: Solve the equation; enter your answer rounded to four decimal places. Best = 4+ 13e5t One solution…

A: Given query is to find the solution of the expression.

Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is augmented matrix is

Q: Professor M tries to fix his financial predicament by catching unicorns in the Wizard valley. He…

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Q: For f(x, y) = e³+13%, find the second order partial derivatives fry and fy of the function. O 9…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Elsa, Alan, and Frank have a total of $86 in their wallets. Frank has 2 times what Alan has. Elsa…

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Q: 324 times 46

A: Given query is to multiply indicated terms

Q: Find the numerical value of the log expression. log⁡ a=−5   log⁡ b=−10   log ⁡c=2 ​log a7c5/b8

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Q: Let A = 1 20 z 53 and suppose that it is symmteric. What is z, y, z? y 29

A: The given matrix is: A=120x53yz9