Express the number 8√3-6i in the form R(cos(0) + i sin(0)) = Re, where R> 0 and - ≤ ≤T. NOTE: Round the value of 0 to exactly two decimal places. 8√3-6 15 1 (cos(23.41)-i sin(23.41))

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: [8x-5] - [7x-9)

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Q: L3Q3. If f(x) = -8x2 + 3x + 1 and g(x) = x + 1, find (f + g) (x). A.-8x2 + 4x + 2 B.-8x2 + 5x + 4

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Q: 1. e* = 17.54 3. 2e¹x = 15 5. e* - 1 = 6 2. e²x - 5 = 14 4. ex+15=0 6. e²x + 5 = 0

A: See this solution in below

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A: As per guideline i can only answer three subparts. answer is in next step.

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A: Dave's wardrobe contains 23 T-shirts, of which 21 are gray. Dave selects a T-shirt at random.

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A: Topic:- function       The domain and range are defined for a relation and they are the sets of all…

Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

A: Here we have to find the associated exponential decay or growth model. We have, Q = 3,000 when t =…

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A: T(t) = 65e−0.0174t + 73  here t is in minute given  and we have to find after one and half hour  one…

Q: Find the standard form equation for a hyperbola with vertices at (0, 21) and (U, y = 74 T

A: Given :Vertices : 0, 21 and 0, -21y=74x

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A: We can answer the question as below.

Q: L3Q1. Find (f/g) (x), if f(x) = 5x + 2x2 and g(x) = x. A.2 x + 5 B.2x2 + 5

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Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a. (f-…

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A: answer is in next step. please give a like !!!

Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: Consider the Functions ƒ (x) = x² + 3x +1 g(x)=√x - 3 Evaluate go f(87) Round to the nearest tenth ‹…

A: The given functions are;  f(x)=x2+3x+1 g(x)=sqrt(x-3).

Q: For f(x)=√x and g(x)=x-8, find a. (fog)(x); b. the domain of fog a. (fog)(x)=√x-8 (Simplify your…

A: using composite function,

Q: 2. Find A if (A-1-21)² = -2 = -21]

A: Basic properties of matrix are used

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A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: L3Q4. Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6. A.- 4x2 B.4x2

A: To find f+gx, if fx=-5x2+6 and gx=x2-6.

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A: Solution : Given that

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Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 2 100 0050 2 25

A: We can find the function as below.

Q: T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q= -50x + 700…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  where q=number of…

Q: Which ordered pair is included in the solution set to the following system? y x2 – 2x + 8…

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Q: If there are four independent events E1, E2, E3, and E4, then the probability P(E1 and E2 and E3 and…

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Q: 4. The set W of polynomials of the form ao + a₁x + a₂x² + a3x³ + a4x¹, where ao = a₂ and a₁ = az…

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Q: 9. A school is upgrading its website and will require students to create a password to access their…

A: Given: The password length = 4 characters. To find: 1. Set of condition to create 4 character…

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Q: Determine from the given graph whether the function has any absolute extreme values on (a, b). Then…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

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Q: What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 3x + 7?  (–2, 1) and…

A: topic;- algebra