
Concept explainers
(a)
To find: the number of count of the sheets in the stack after the first cut and number of pieces after the first, second, and third cut.
(a)

Answer to Problem 41PPS
There are
Explanation of Solution
Given information:
A large sheet of paper is cut in half, and one of the resulting pieces is placed on top of the other. Then the pieces in the stack are cut in half and placed on top of each other.
When cut the sheet first time then, the sheet divides into two parts. That means 2 pieces after first cut.
There are two pieces and each piece has two halves. Then, the total pieces are
There are four pieces and each piece has two halves. Then, the total pieces are
There are eight pieces and each piece has two halves. Then, the total pieces are
Therefore, there are
(b)
To find: the table for the process of first, second, and third cut of sheet.
(b)

Answer to Problem 41PPS
The required table is shown in table 1.
Explanation of Solution
Given information:
A large sheet of paper is cut in half, and one of the resulting pieces is placed on top of the other. Then the pieces in the stack are cut in half and placed on top of each other.
As it has found that there are
Construct the table for the cutting process.
CUTS | PIECES |
1 | 2 |
2 | 4 |
3 | 8 |
Table 1
Therefore, the required table is shown in table 1.
(c)
To find: the function for the given process.
(c)

Answer to Problem 41PPS
The required function is
Explanation of Solution
Given information:
A large sheet of paper is cut in half, and one of the resulting pieces is placed on top of the other. Then the pieces in the stack are cut in half and placed on top of each other.
Consider the table from b part.
CUTS | PIECES |
1 | 2 |
2 | 4 |
3 | 8 |
Table 1
Suppose
So, the function can be written as
Therefore, the required function is
(d)
To find: the function for the given process and thickness of the paper.
(d)

Answer to Problem 41PPS
The required function is
Explanation of Solution
Given information:
A large sheet of paper is cut in half, and one of the resulting pieces is placed on top of the other. Then the pieces in the stack are cut in half and placed on top of each other and the thickness of the ordinary paper is
Consider the Function from c part.
As the thickness of ordinary paper is about
Therefore, the required function is
(e)
the thickness of the paper after
(e)

Answer to Problem 41PPS
The thickness of the stack of paper after
Explanation of Solution
Given information:
A large sheet of paper is cut in half, and one of the resulting pieces is placed on top of the other. Then the pieces in the stack are cut in half and placed on top of each other and the thickness of the ordinary paper is
Consider the Function from c part.
Substitute
Therefore, the thickness of the stack of paper after
Chapter 8 Solutions
Algebra 2
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Introductory Statistics
College Algebra with Modeling & Visualization (5th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
- 1. vector projection. Assume, ER1001 and you know the following: ||||=4, 7=-0.5.7. For each of the following, explicitly compute the value. འབ (a) (b) (c) (d) answer. Explicitly compute ||y7||. Explain your answer. Explicitly compute the cosine similarity of and y. Explain your Explicitly compute (x, y). Explain your answer. Find the projection of onto y and the projection of onto .arrow_forward2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)arrow_forwardPlease type out answerarrow_forward
- The function f(x) = log x is transformed to produce g(x) = log (x) – 3. Identify the type of transformation and describe the change. Please type out answerarrow_forwardEach graph below is the graph of a system of three linear equations in three unknowns of the form Ax = b. Determine whether each system has a solution and, if it does, the number of free variables. A. O free variables ✓ B. no solution C. no solution D. no solution E. 1 free variable F. 1 free variablearrow_forwardSolve the following systems of equations and show all work.y = x2 + 3y = x + 5 Please type out answerarrow_forward
- Solve the following system of equations. Show all work and solutions.y = 2x2 + 6x + 1y = −4x2 + 1 Please type out answerarrow_forwardDalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more gems than Grace? Show your work. Dear Student If You Face any issue let me know i will solve your all doubt. I will provide solution again in more detail systematic and organized way. I would also like my last 3 questions credited to mearrow_forwardDalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more gems than Grace? Show your work.arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





