On the first swing, a pendulum swings through an arc of length 36cm. On each successive swing, the length of the arc is 90% of the previous arc. Write the first five terms of this situation. Write a function rule to model the situation. Identify what each variable represents. What is the length of the arc on the sixth swing to the nearest cm?

On the first swing, a pendulum swings through an arc of length 36cm. On each successive swing, the length of the arc is 90% of the previous arc. Write the first five terms of this situation. Write a function rule to model the situation. Identify what each variable represents. What is the length of the arc on the sixth swing to the nearest cm?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 2BGP

See similar textbooks

Related questions

Q: Let A = (2,-1,4), B = (3,0,6), and C= (-1,-2,-3). Is it possible to construct AABC? Show your logic.

A: The given points are A=(2,-1,4), B=(3,0,6), and C=(-1,-2,-3). We need to justify whether it is…

Q: Prove the polynomial identify. 2 (x - y)² = x² - 2xy + y² ૩)

A: We are required to proof(x-y)2=x2-2xy+y2

Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

Q: Use the graphs of f(x) and g(x) to determine the domain and range for p(x) = (f-g)(x) -4-2 6 + 2…

A: see below the answer and explanation

Q: (a) The initial matrix is: -5x13x2 + 1x3 = -1 3x1 +4x21x3 = 3 -3x14x2 + 1x3 = -5 888 (b) First,…

A: Given equations -5x1 - 3x2 + 1x3 = -13x1 + 4x2 - 1x3 = 3 -3x1 - 4x2 + 1x3 = -5

Q: The diagram shows the angles at which certain streets meet at an intersection. What is the measure…

Q: 12. 4c + 4d

Q: Find the area of the following triangle T. The vertices of T are A(6,7,3), B(7,17,4), and C(7,8,4).…

Q: the number as a decimal. (21)/(40)

A: Given number:- 2140

Q: 12-12- +--+--+--+-- T LLLLL c JULL 41-441 -- + T கமைமசவை-- +-1-4-1-4-1- 8+-+-+-+- 41-441-74-74-…

A: Given query is to find slop intercept form.of the line.

Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: Let V₁ = 0 0 8-A -4 12 V₂= -6 and V35 Choose the correct answer below. 3 8 Does (V₁ V2 V3} span R³?…

A: The given vectors v1=00-4,v2=0-612,v3=3-48 We have to prove does {v1,v2,v3} spans ℝ3.

Q: Find the following for the given functions. f(x) = x² + 3, g(x) = √₁-x (a) (f+g)(x) = (b) (f - g)(x)…

Q: Three vertices of a rectangle are (9, -10), (-2, -10), and (-2, -1). What are the coordinates of the…

A: NOTE: Refresh your page if you can't see any equations. . three vertices of the rectangle are plot…

Q: Find a basis for the space of 2 x 2 lower triangular matrices. Basis- yardt. 186318 20 N

Q: 1 Compute each matrix sum or product if it is defined. If an expression is undefined, explain why.…

Q: A biologist has been observing a tree's height. This type of tree typically grows by 0.24 feet each…

A: we have to write down the equation, height of tree after 28 months, and the number of months it will…

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: the functions f(x)=5−x2 and g(x)=x2+6x−27, find f+g, f−g, fg, and fg. Determine the domain…

A: Given query is to find indicated function operations and there domain.

Q: Apbills manufactures smartphones at a variable cost of V(x)=0.000003¹-0.04x² + 300x dollars, where x…

A: Given query is to find cost function, profit function.

Q: type y = 1x + 1 into a graph. Where does this line cross the y-axis? Notice that these two lines are…

Q: 70.21-25) (10) + 4 (5)(-5) = 5(125-25)

A: Our Aim is to solve Question Number-70 in which our aim is to simplify theexpression given…

Q: If f(x)=√x, g(x) =, and h(x) = 4x+ 16, find f(g(h(x))).

Q: using below, forecast sales for the fifth week using a 3-week weighte average. (round to nearest…

A: We are asked to find the forecast sale

Q: 2. 3x 3 2 - 8x² - - 20x + 16

Q: Let u = 13 2 16 and A= -5 10 1 -4 7. Is u in the plane in R³ spanned by the columns of A? Why or why…

A: Given:- Let u=-131610 and A=2-4-5711

Q: What are the solution(s) to the system? y=x²+2x+3 y = 4x + 11 A (1, 15) B C D (-2, 3) only (-2, 3)…

Q: 3. x 3 - 7x - 6

Q: Find values of a, b, and c (if possible) such that the system of linear equations has a unique…

A: Given: The system of equation x+y=0y+z=0x+z=0ax+by+cz=0 a) To find the possible values of a,b,c for…

Q: - There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. From…

A: From given information we can construct a population function P(n) =3000 [1.02]n.

Q: 1. Suppose that x and y vary inversly. Write a funtion that models each inverse variation. Graph the…

A: Suppose x and y vary inversely. To write a function that that models each inverse variation. To…

Q: The graph of f(x) contains the point (-5, 8). What point must be on each of the following…

A: here we have to find the value of a transformed function.

Q: 10. Let A = [ 8 5 6 Verify that AB = AC and yet B / C. 2 -4 -3 B = [ SINTONI 4 5 -2 3] - [37] and C…

A: The matrices are: A = 2-3-46B = 8455C = 5-231 To Verify: AB = AC

Q: f(x) = x²-4² and g(x)= /4-x. For each function h given below, find a formula for h(x) and the domain…

Q: The graph of the function f(x) = 2x² + bx + c is shown. What are the values of b and c? 4 -2 0 -4 -8…

Q: (14) Which of the following are diagonal matrices? (1) (9) ** 0 0 1 (6) (9) 0 0 0 -7 0 0 00 0 0 1

Q: Why did you start with -2 ?

A: The given function fx=3x. We have to create a table of values and sketch a graph of the function.

Q: Solve the following quadratic-like equation. 5y³ + 8y + 3 = 0

A: The given quartic like equation is 5y23+8y13+3=0. We have to find the solution of the equation.

Q: A set of linear equations is: 5x - 2y + 3z = 16 and 19y - 7z+ 10 = 18 and 10z + 8y = 1. What are the…

Q: Solve the equation. Be sure to check for extraneous solutions. 3√x + 4 = 32x 2x - 17

A: Given equation 3x + 43 = 2x - 173

Q: so whats the answer for the two boxes?? Circle them next time. I need the answer.

A: As computed in the previous solution, the population Px is given by,Px=28000.93twhere, x is in…

Q: f(x)=√x²16, g(x)=√x + 4 7 (a) (f+g)(x) = = (b) (f - g)(x): (c) (fg)(x) = (a) (-1)(x) = =

A: Since we are given with the multiple subpart so answer will be acoording to the gudeline

Q: 2 3 -1 XX-2

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

Q: Which of the following best describes the limit of a function as x approaches "c"?

A: Our Aim is to best describe the limit of a function as x approaches"c"?

Q: Do these pants look good on me? Is the given sentence a statement?

A: A sentence is called a statement if it provides enough information to make a definite claim that can…

Q: Find the following line's equation in slope-intercept form. The line passes through the points (1,9)…

Q: 68% of the parts were defective. The total of all parts was 1780. How many were defective?

A: Answer: 1) Given, Total parts=1780 Defective parts in Percentage = 68% We have to find a…

Q: Which of the following expressions represents the slope of a line drawn between the two points…

Q: Suppose that x and y vary inversly. Write a funtion that models each inverse variation. Graph the…

A: Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the…

Q: -8 -6 -4 -2 У 5 сл 4 3 2 1

Question

16. On the first swing, a pendulum swings through an arc of length 36cm. On each successive
swing, the length of the arc is 90% of the previous arc. Write the first five terms of this situation.
Write a function rule to model the situation. Identify what each variable represents. What is the
length of the arc on the sixth swing to the nearest cm?

Expert Solution