VI. Express the following to rectangular form. 3. z = 4(cos270° + isin270°)

Q: 1. Proof the remaining Dot product properties Let a = (1,2, –3), b = (0, 2, 4), and c = (5, –1,3).…

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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: 2а + 1 + 1. Solve for b: b 3 II

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Q: (4) 3.6 X 100,000 = 360,000 (5) b. Place a accura PRACTICE PROBLEMS 5. Mastering decimals. Correctly…

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Q: Write the standard basis for the vector space. R6

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Q: 8. An English teacher can grade all her students' essays in 60 minutes. The graph shows the…

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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: A man left his home at past 3:00 PM as indicated on his wall clock. Between two to three hours…

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

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Q: The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

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Q: Recall that similarity of matrices is an equivalence relation, that is, the relation is reflexive,…

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Q: 2 4 -10 -1 0 -6 -3 1 1 2. Let B = Determine the inverse, B.

A: The given question can be solved as shown in step2

Q: Solve the logarithmic equation. Write the answer in exact, simplified form. log(2) (a-9)=3 The…

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

Q: Determine if the subset of C(- , 0) is a subspace of C(- ∞, 0). The set of all negative functions:…

A: C(-∞,∞) function f(x)<0 so it means f(x) value is negative f(x) (-∞,0) so C(-∞,∞) = (-∞,0) U…

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, –1, 2), (–1, 0, 2, 0),…

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Q: a) find the rate of catching 74 fish in 8 minutes and write your answer in simplest form. b) find…

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Q: If 1 4 7 -3 1 -3 -4 A =|6 9) and B = 8 10 2 find AB and BA. (If an answer does not exist, enter DNE…

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Q: Solve the quadratic equation using the quadratic formula.  -5x2-4x+1=0

A: Use quadratic formula for finding the solution.

Q: If we take five times one number and add four times a second number we get sixteen while if we take…

A: Suppose the first number is x and the second number is y. Then from the given data:…

Q: Prove that GL(2,R) is not an abelian group

A: Solution is given below:

Q: Test I: State whether the events are mutually exclusive: write TRUE if the events are mutually…

A: If events are mutually exclusive then P(AUB) =P(A) +P(B)

Q: Use the fact that matrices A and B are row-equivalent. 1 2 10 2 5 1 1 3 7 2 2 -2 10 23 7 1 4 1 0 0 1…

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Q: to give to her Father, Breanna had a ba sket OF apples . she de cided away 2 OF her appler plus 1 /2…

A: To find the number of apples that was at the beginning.

Q: If the constant of variation of h varies directly as k is 11, then what is h when k is 77?

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Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Given Let us say  x = Number of quarts of creamy vanilla  y = Number of quarts of continental Mocha…

Q: The graph of the function  f(x)=1/(x+7)−13  is a transformation of the graph of the function…

A: This question can be solved using the concept of vertical shift and horizontal shift of a graph.

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: A ballpoint pen and a notebook costs 100 pesos. The notebook cost 60 more than a ballpoint pen. What…

A: We can solve this as follows:

Q: Let 9 2 A 0 7 and B = Find the matrix C of the linear transformation T(x) = B(A(x)). C =

A: To find out the linear transformation given.

Q: Use the yuuuiatic formula to solve for X. 2x +x-9=0 Round your answer to the nearest hundredth. If…

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Q: How much money should be invested today to accumulate to $10,000 in 10 years at 4.5% compounded…

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Q: roblem 12. Calculate the volume under the elliptic parabolold z 4z + 8y and over the rectangle R…

A: Find volume.

Q: Write the number in word form. 32.66- 3 O thirty-two and sixty-six and two-thirds hundredths O…

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Q: 488​, 296​, 488​, 384​, 360​, 336​, 416​, 472 mean

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Q: Toby and Rocco have 30, toys between them. If Toby has 11 of the toys, how many toys does Rocco…

A: To tell how many toys Rocco have.

Q: A father deposited a total amount of P88,500 on two different investments. The first investment…

A: Formula:final amount = principal amount(1+rt) Let, the first investment=xThe second investment…

Q: Consider the line -x+8y36. Find the equation of the line that is perpendicular to this line and…

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Q: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

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Q: Commutativity: AUB = B U A, also, A n B = BN A Associativity: A U (B U C) = (A U B) U C, also, An (B…

A: Let's find.

Q: HAND CALCULATION: When writing 6 simultaneous equations with 6 unknowns in the Ax = b matrix form,…

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Q: 53. Electric Circuits An electric circuit contains two resistors connected in parallel, as shown in…

A: Given in an electric circuit contains two resistors connected in parallel and the resistances of…

Q: Evaluate the logarithm. log, 49

A: Given, log749 To Evaluate log749

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

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Q: Write the equation of the ellipse 9a²+ 16y² – 90x – 32y + 97 = 0 in standard form a2 (x – h)? (y –…

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Q: AzL1,2,3,43: B= {2,4,0 ,83, what is AUB? P: is Nontay what' is p what is x -y<32 in words? 10n8…

A: The union set includes all the elements in the given sets Please note: in bartleby we are allowed to…

Q: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

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Q: (4) Carol picks out a birthday gift for her younger brother and decides to have it gift- wrapped by…

A: To determine the number of ways the gift is wrapped.

Q: A chemical company makes two brands of antifreeze. The first brand is  40%  pure antifreeze, and…

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Q: A man initially invested ​$800 in a savings account where interest is compounded annually. If after…

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