Determine all values of the constant k for which the vectors (1,1,k), (0, 2, k), and (1, k, 6) are linearly dependent in R³.

Q: Find the zero(s) of the polynomial ³ - x²-3x+3.

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Q: Evaluate the following using a calculator. (A) log 1,311.5 (C) In 347.55 (B) log 0.0346628 (D) In…

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Q: 5 2 a 4а-5 2-а за + 2 = 6а-8 4 a -5

A: Given: 52a4a−52−a3a+24a−5=6a−8 To find the value of a

Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) M2x2 is a vector space…

A: We can solve this as follows:

Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.…

A: Explained below

Q: d. log(5x + 3) = log 12

A: Solving for x

Q: Let f, g = R[x] be polynomials, with deg g > 0. (a) The division rule for polynomials states that ƒ…

A: The objective is to solve the above question.

Q: What is the number product of two that add to 10? What number yield this product?

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Q: Measured real wages understate living standards because O The CPI overstates growth Wages ignore…

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Q: What is the measure of an angle in standard position whose terminal side intersects the unit circle…

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Q: Justifying Q-2: [2x5 marks] Answer the following questions as True or False your answer (4 marks):…

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Q: Q-5: Let A = a) b) -1 0- 0-1 1 3 -1 0 Show that A has eigenvalues λ = 0,-1,-2. Find an eigenvector…

A: We have to show the eigen values and eigen vector.

Q: dy find an approximate value of y corresponding to x = 1.4 given = xyz and x-1 & y-1 with 4 decimal…

A: Given :dydx=xy12x=1 and y=1 then y(1)=1

Q: Perform the indicated operation. Write the answer in the form a+bi. 5) 8 +9i 3-i

A: (8+9i)/(3-i) here multiply above and below by 3+i (8+9i)(3+i)/(3-i)(3+i) (24 +8i+27i -9)/(9…

Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

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Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Consider a triangle ABC like the one below. Suppose that c=51, a=59, and C=30°. (The figure is not…

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Q: Given matrix A A.O x-2 0 1 0 X 3 Find the value of x if the determinant of A is zero? 2 2 x+2] B. 2…

A: We have to choose correct option

Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

Q: Question 15 Determine the length of the minor axis of the following ellipse: 5² +2² = 1

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Q: A floor that is 8 feet by 12 feet is covered by tiles that are 6 inches. How many fewer tiles are…

A: We have to find out the no. Of the tiles

Q: Use the Venn diagram to determine the roster form of set A' - B. Set A'-B in roster form is (Type a…

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Q: (b) Find the limit of u(x, t) as t → ∞o. 10. Let D = {x € R: 0 < x < 1}. (a) Find the solution of…

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Q: Solve the equation. 5)-3+√5x+5=5

A: Given equation -3+5x+5=5

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: 1. Lucas is planting grass on the shaded portions of the yard. What will be the total area covered…

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Q: 3) Write an equation that represents each circle. Show or explain why the equation represents the…

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Q: If your answer is a fraction like I then enter your answer as - 3/2 without using any spaces.…

A: The given line equation 2x+6y=1.

Q: Solve the equation for x. (7x+30)³ = 64x³ ... X = (Simplify your answer. Use a comma to separate…

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Q: We always assume the radical is a square root if there is no index. True False

A: Yes it is true.

Q: Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to…

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Q: University Theater sold 510 tickets for a play. Tickets cost $22 per adult and $10 per senior…

A: Let the number of adult tickets sold = a Let the number of senior citizen tickets sold = s

Q: The marching bands at Chippewa Valley High School and Dakota High School are combining a special…

A: Solution

Q: Graph the following function over the indicated interval. y = −5+ e ¹+x; [-5,2]

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Q: Find the interest and amount on ₱28,800 at 10 3/8% simple interest from November 17, 2015 to May 16,…

A: Find the interest and amount on ₱28,800 at 10 3/8% simple interest from November 17, 2015 to May 16,…

Q: 3) Write an equation that represents each circle. Show or explain why the equation represents the…

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Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: A polo shirt and a necktie costs P700. The polo shirt 350 more than the necktie. How much does the…

A: A detailed solution is given below.

Q: Let S be the following relation on C10). S=[(x,y) E (C\[0]): y/x is real). Prove that S is an…

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Q: 8n-7=-151

A: Given 8n-7 = - 151 8n = - 151 + 7 8n = - 144 n = - 18

Q: equati 3 e the rational 35 4) = x + 2 = 4 X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the inverse of g (x) = } x + }

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Q: List the members of these sets, x | x is a real number such that x^2=1.

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Q: III. Find all the values of the variables in the following matrices that will make its determinant…

A: Here we have find the values of the variables in which the given matrix that will makes its…

Q: 9p5q9

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Q: A rectangular swimming pool measuring 20 meters by 40 meters is surrounded by a path of uniform…

A: This question can be solved by applying the concept of area of rectangle.

Q: Let (G, ◊) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

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Q: tex Form Quadratic Equation #20: Vertex: AOS: Table of Values: X f(x) y-intercept:_ x-intercepts:_…

A: Given problem:- f(x)=(x-4)2-1 Find:- Vertex ,AOS ,Table of values ,y intercept , x intercept

Q: vith the value m₁39 m22 and

A: