HAND CALCULATION: When writing 6 simultaneous equations with 6 unknowns in the Ax = b matrix form, the b vector contains columns.

Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Q: Determine whether the given ordered pair is a solution to the system of equations.   6x−2y=38…

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Q: De Morgan's laws: (AU B)C = A© O BC; (An B)C = A© U BC %3D %3D

A: This is a problem related to set theory. Based on the general formula we will prove the de morgan's…

Q: . How many ways can 3 oranges be chosen from a fruit bowl that contains 11 oranges?

A: We are asked to find the number of ways to choose 3 oranges from 11 oranges

Q: a) 6e2x – 17(e*) + 12 = 0 b) 82x+1 = 45-x %3D

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Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S = {x?, 2…

A: To find whether the given set of vectors are linearly dependent or notS = {x2, 2+x2}

Q: 2. For a certain type of tree the diameter D in feet depends on the tree's age t in 5.4 years. This…

A: Find the diameter of a 20 year tree

Q: Determine whether the sets S, and S, span the same subspace of R³. S1 = {(0, 0, 1), (0, 1, 1), (9,…

A: The given sets,S1=0,0,1, 0,1,1, 9,1,1S2=1,1,1,1,1,5,5,1,1

Q: b.) Use the pattern of differences to find the number of blocks in next staircases. 9. 22 8 The…

A: To Find: Number of blocks in next staircases.

Q: (b) A password consists of 5 letters followed by 4 digits. How many passwords are possible if: (i)…

A: We have to calculate how many password is possible for each case .

Q: (z – 3)(z – 12)2 Let C be the circle |z| = 9, he anti-clockwise direction Answer the following…

A: To solve the following problem

Q: 23. a) Use the factor theorem to determine the factors of the function f(x) = 10x' +41x +x- 12. b)…

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Q: Given that y= -3x + 4. Determine the value of x if y is equal to 10

A: Given equation y = -3x + 4 ,  We have to determine the value of x is y = 10

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

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Q: A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy…

A: Given query to find the number of machine to be made to minimize the cost.

Q: 415 - 225= %3D

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Q: For f(x)= (n+gx)m* , find f'(0.1) and f"(0) correct to three decimal places. n = 17 %3D g = 4 Use…

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Q: -2-5 BO-17 -5 1 A- -3-5 75-43 1 7 -13 S -3 01 -2 0 3 o o o 1-S Ca) Find the rank and nullity of A.…

A: Given matrix A is equivalent to matrix B so rank and nullity also same matrix A and matrix B rank =3…

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: Find the least squares solution of the system Ax = b. %3D 2 1 1 1 1-1 A = 0 2 -1 b = 1 0 2 1 -1 1 1…

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Q: ed pdl- PDF Annotator Tool View Extras Window Help Page Width 52 AR Y x amed.pdf" E -/ II * 4. How…

A: If $P is invested for t years with rate of interest r compounded annually then total amount after t…

Q: Demonstrate that A A-1 = A-1 A = I

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Q: Solve the quadratic equation using the quadratic formula.  -x2+10x-25=0

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Q: Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.

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Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: Given:      a)  4-2k-843    Adding 2 times the first row of the matrix above to the second row we…

Q: * 3 = 234, 5

A: Topic = Algebra 23*3=2345

Q: Solve the following linear system by Gauss elimination. -2b + 2c = 4 2a + 4b – 2c = -6 6a + 8b–2c =…

A: Given: -2b+2c=42a+4b-2c=-66a+8b-2c=-5

Q: Find the length of an arc of the curve y = In x from x = 1 to x = 2v2. !3! O 2.1206 2.1026 2.1602…

A: We know that arc length of the curve f(x) from a to b is defined as Arc Length = ∫ab1+f'x2dx Given:…

Q: 9. Estimate the error in approximating sin(0.5) by using the fifth-degree Maclaurin polynomial by…

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Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: In the equation y able-h) +k how does the value of k affect the graph?

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Q: IM Sign - 5) Write the following summation notation in 2n-1) n=D1

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Q: Find the maximum value of the objective function z = 9x + 11y, subject to the following…

A: Given, 10x + 11y≤330 4x + 6y≤156 Plotting the graph for the above two equations we have,

Q: A town’s population increases at a constant rate. In 2010 the population was 53,000. By 2012 the…

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Q: Consider the following table: Possibilities for a Possibilities for b x -4 Possibilities for c…

A: From the given table

Q: eries where t, = 3 and t10 = 39. %3D Your answer: O 2100 105 30 210 210

A: Given query is to find the sum of 10 terms of arithmetic sequence.

Q: 3. What is the domain of f(x) = log(2 – x)? %3D

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Q: 5. If sec(a) 25.2, then what is the value of cos(a)? 19.4 16.1 19.4 19.4 25.2 25.2 19.4 16.1 25.2

A: Given query is to find the Indicated angle.

Q: Solve the equation.   |2x+7|−4=10   Enter the exact answers.   x=

A: |2x+7|-4= 10|2x+7|=10+4|2x+7|=14Case1:using Mod property, (|y|={y…

Q: A electronics retailer list the sales (in thousands) of certain products in three cities for the…

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Q: 1 17. В %3D is an ordered basis of R². = , 2 find x. 3 (a) If the B-coordinate vector of a vector x…

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Q: r the equation 7x- 3x2 -8 = 0, the following iterative derived %3D 3 3(xn)2+8 Xn+1

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Q: G 15+4 - Google Search E SKI plans Math Science Sixth grade > FF.12 Area of compound figures with…

A: According to given, Area(A) given is divided into smaller areas for calculation purpose, We know…

Q: Investor Dan has $823,000 to invest in a CD and a mutual fund.  The CD yields 7.5% and the mutual…

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Q: 3x+5 3. 2x-X メ-3

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Q: y = mx +b m = +1 -6-5-4-3 -2 -1 0 43 +4 5 +6 b =_ +1 - -4 -5

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Q: Neatly graph the rational function f(x) = X. Show all asymptotes with dashed lines. Fill in the…

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Q: 9. Joseph ran a total of 68 miles over 4 weeks. How many weeks will it take Joseph to run a total of…

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Q: Write the system of equations as an augmented matrix. Then solve for x and y using the inverse of…

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Q: Solve the quadratic equation using the quadratic formula.  -5x2-6x=-3

A: Given -5x2-6x=-3Upon rewriting 5x2+6x-3=0We know that for the equation ax2+bx+c=0 the roots are…