Calculate (cos + isin Hint: DeMoivre's Theorem: (cos x +I sin x "- cos nx +i sin nx

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii

Q: (п + 1)! n² + 2n + 2 Write down the first five terms of the sequence a, = a1 = Preview a2 = Preview…

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Q: Consider the following matrix A, where -2 4 -2 -4 A = 2 -6 -3 1 -3 8. 2 -3

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Q: 19. A sphere has a diameter of 10 in. Find the volume of the sphere. Use 3.14 for pi and round your…

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Q: 35 S frel 3 Stepl a) Solutilon - Given kenth of Boxx 2b fect =f feet frel width %3D 3. height = u,…

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Q: Use regression to find a quadratic model for the given data. (Round the terms to four decimal…

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: 3*/s -2=x+ /3 Solve the equation above for x. Which of the following is correct? 2516 C CORRECT My…

A: Explained below

Q: An investment of 10,000,000 php has a revenue of x php that will increase of 10% every 2 years. With…

A: answer is in next step

Q: Solve the following systems of linear equations using the substitution method. 1. -4x + 3y = 15…

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Q: 19 Danyelle and Aaron are selling fruit for a school fundraiser. Customers can buy small boxes of…

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Q: For which n listed below does there exist a field extension F ɔ Z/2 of degree n such that the…

A: Follow the procedure given below.

Q: The formula A=Pert describes the accumulated​ value, A, of a sum of​ money, P, the​ principal, after…

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Q: The exponential model A=186.5e0.02t describes the​ population, A, of a country in​ millions, t years…

A: Here, the given exponential population model is: A=186.5e0.02t where A is in millions and t is the…

Q: For which fields F listed below is the polynomial X + X3 +1 € F[X] irreducible? Select all that…

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Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: Given              46 graduating students & no student can receive more than one prize

Q: Find that is cotefminalI with 0and aT 17TT 4. angle between

A: We can find the co-terminal angle as below.

Q: Plot the graph of the given function on a log-log scale. y= 0.07x Choose the correct graph below. O…

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Q: In ATUV with right angle V, suppose that m ZT=(4x-22)° and m LU=(2x+34)°. Find the degree measure of…

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Q: -9 -19 -8

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Q: Find the inverse of y = 11". y = D

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Q: 65°

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Q: Half-Life Decay Rate, k 3.7% per year = -0.037

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Q: Find an equation for the ellipse whose vertices are at (−1,−3) and (5,−3)​, and focus is at (4,−3).…

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Q: 1. Consider the following matrix A, where 4 0 -7 0 0 7 3 -6 3 -5 2 A = 4 -8 5 0 5 2 -3 0 0 9 -1 2…

A: To solve the following problem

Q: The amount of heat H required to melt ice is proportional to the mass m of ice that is melted. If it…

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Q: Given the figure below, find the values of x and z. %3D (9x - 33)° 111° %3D

A: Here it is clear to see that  9x-33° = 111° Implies that, x = 16°

Q: Use regression to find a quadratic model for the given data. (Round the terms to four decimal…

A: Using formula :-

Q: The exponential models describe the population of the indicated country, A, in millions, t years…

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Q: Solve the quadratic equation by completing the square. -18x+71=0 First, choose the appropriate form…

A: Here we can provide the answer in the following steps.

Q: Lee records the height of players on a basketball team, and calculates the mean absolute deviation…

A: Option (D) is correct See below the explanation

Q: Let S = {a, b,f, g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many…

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Q: Which of the following is 1 the inverse of f(x)=-x+8? f-"(x)= 2x +16 Option 1 f'(x)= 2x – 4 Option 2…

A: We have to find inverse function

Q: All changes saved 21. For the three-part question that follows, provide your answer to each question…

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Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

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Q: A boat manufacturer has 153 new boats of a new model to be apportioned to four dealerships. The…

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Q: biology laboratory starts a Petri dish with 1000 bacteria. After 30.0 hours, the population is 7250.…

A: Given query is to find the doubling time.

Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

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Q: Use the exponential decay​ model, A=A0ekt​, to solve the following.   The​ half-life of a certain…

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Q: y = 4 sin (3tx + 9) ... Type the amplitude, period, and displacement of the function. Amplitude =O…

A: for the given functiony=4sin(3πx+9)this is of the form of y=Asin(bx+c)Amplitude is A, b=3π ,…

Q: 8. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: We will find the answer by following observations

Q: What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this…

A: Solved below

Q: Consider the line 4x+3y=7. What is the slope of a line parallel to this line? What is the slope of a…

A: This question is related to straight lines, we will solve it using given information.

Q: On one job, two power shovels excavate 20,000 cubic meters of earth, the larger shovel working 40…

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Q: 7 7 7 Write the sum using sigma notation: 7 + 5 25 125 625 Preview i=1

A: Here we have to write the sum using sigma notation: 7+75+725+7125+7625

Q: 7. Find the area of the unshaded (white) part if the radius of the circle is equal to 16cm. A 6/2 BB…

A: the solution is as follow

Q: An object with initial temperature 200° F is submerged in large tank of water whose temperature is…

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Q: 117 %3D (9x - 36): %3D O D

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

Q: 9. An investment property in 1997 was worth $250,000. If it increased in vale at a rate of 12%…

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

Q: 2+7+12 Find the r-intercepts of the function f (x) = Enter your solution as a list of x-values,…

A: f(x)=x2+7x+12x2+6x-3For x-intercept, f(x)=0