In 1997, the population of a specific county in West Virginia was 100,000. By 2008, the population had grown to 116,058. Find an exponential model, A (t) = Pe t, for the number of people t years since 1997. %3D

Q: x 3 For the function f(x)= 27 -x+39 2 (x)%3D 3 4 (i) Determine the coordinates of the turning…

A: Here, the given function is: f(x)=x33-34x2-272x+39 So, f'(x)=x2-32x-272f''(x)=2x-32

Q: 9. A rocket is fired upward from a platform and can be modeled using the equation h(t) = -16t² + 96t…

A: We need to find highest point rocket will reach.

Q: er falls. The upper fall drops 1,450 feet. The height h in the next fall is modeled by h(t) = -16t2…

A: Given:-  expression of height of yosemite falls             h(t)= -16t2+1450

Q: If $24,000 is invested for 23 years and earns 9.5% interest, compounded continuously, the…

A: The accumulated amount is A=PertP is initial investmentt is time in yearsr is interest rate

Q: Answer each part. If necessary, round your answers to the nearest hundredth. (a) It takes 47 pounds…

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Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Let h(t) = 4 %3D Evaluate the following expressions. Solutions shom h(0) h(5) h(1) = h(– 1) = %3D…

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Q: Consider the following polynomial function. f(x) = (x + 1) (x - 3) (x- 4) %3D Step 2 of 3: Find the…

A: Solution: f(x) = (x+1)2(x-3)5(x-4) x- intercept is point on the graph where y=0

Q: 10. AE = 2x + 4 while CE =x + 20, how long is CE? A. 24 cm С. 36 сm В. 30 cm D. 42 cm

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Q: A bucket is being filled with water. The graph below shows the water height (in mm) versus the time…

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Q: An issue of a magazine contained the following statement Dropping less than two inches per mile…

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Q: Rewrite the exponential function 3 f(x) 2* +2 in the form f(x) = A · Bª A = B = This function…

A: The given exponential function,   f(x)=32x+2

Q: 3. Find an equation of a parabola with a vertex at the origin and directrix y=-3.5 Oy=--x 14 Oy= ?…

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

Q: 13. You are serving 100 guests one half of a potato with sour cream and caviar How much will the…

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Q: Solve each polynomial inequality without a calculator. Show your factoring and a complete…

A: The given inequality,  x4+x3-6x2≤0

Q: (:) 2 -6 0. %3D 2 -5 et and evalute the particular solution, p(t) = ( ), at t = x2 and enter 1.

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Q: AABC and AADE are similar. Find the length of of side DA. hts 18 D B+2A

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Q: Q3 Solve the system of the linear equation below by the Gauss elimination method. -2x2 + 8x3 = 51a…

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Q: 11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm , AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is…

A: The given question has been solved in detail

Q: Question 1. Prove the following statements using mathematical induction: • Vn 2 0: 20 + 2' + 22 +…

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Q: osts S190. IT jamai ments his credit card, the balance of the credit card will grow 15% each year.…

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Q: Solve the following quadratic equations ( use the quadratic formula) a) 2x2 - x - 6 = 0…

A: We will use the quadratic formula to solve the given equations.

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

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Q: Graph the equation and indicate whether consistent, inconsistent or dependent 4x - 2y = 2 2x - y = 1

A: We have to find out the graph

Q: Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that…

A: A)1250, 1250-1250(0.1), 1125-1125(0.1),1012.5-1012.5(0.1),.....→1250, 1125, 1012.5, ....First term:…

Q: Multiply and simplify: (9t + 4)

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Q: Please show work and Which graphs are one to one please

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Q: 4 1 2 8. 4 3 3 -2 5

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Q: The black graph is the graph of y = f(x). Choose the equation for the red graph. a. y = f(x +3) b. y…

A: The objective is to choose the equation for red graph.

Q: 3. Find and plot the solution to the following inequality on a number line: a) -x2 + 2x > 0 4 - 2г…

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Q: A music stand is a tame made of wood or metal that supports a musical score or orchestral component.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1 1 Use induction to prove that for any integer n > 1, j(j +1) 1 n +1' j=1

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Q: Consider the exponential function g(x) = 650 · 1.45" We can rewrite the base of the exponent as B =…

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Q: Question 2: Refer to the figure at the right. If me2 = 38° and me4 = 134°, determine the measure of…

A: We have to find value of given angle.

Q: Let R be a relation on the set of all integers such that a Rb if and only if a +b = 0. (a) Is R…

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Q: The parent function fx)= JX is canapressed vertically by a factor 1. of 2 and then transferreed 2…

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Q: Solve the equation. Write the solution set with the exact solutions. logx + log (x- 19) = log(x –…

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Q: 5y²-9y-2=

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Q: For each matrix, determine det(A). Prove your answer by showing your calculation and stating clearly…

A: For (a), A=det8164043-27  =8·det04-27-1·det4437+6·det403-2  =8· 8-1· 16+6-8  =0

Q: A survey was done on a college campus to determine how many students owned a cell phone. Of the 140…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: log(a) + log(b) = log(a×b)

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: The population of a southern city follows the exponential law. If the population doubled in size…

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Q: Fill in the blank with a number to make the expression a perfect square. + 2w + M ?

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Q: 21. Find the value of x in the given figure at the right. В. 6 С. 12 D. 18 A. 3

A: Topic = Triangles As per guidelines , At a time only one question can be answered out of multiple…

Q: erfect pizza has 15 toppings listed on their menu. How many ways could a customer choose pizza that…

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Q: SIMPLIFY THE FOLLOWING RADICALS 3 3 81 2 V24 - 4 V375

A: To Evaluate : 813-2243-43753

Q: 21. {(1, -2), (-2,0), (-1, 2), (1,3) Function: Domain: Range:

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Q: 2 1 3) y=-(x– 4)³ + 2(x – 4) ³ 5 Graph showing all algorithm and work

A: We can proceed as follows