
Concept explainers
(a)
Find the number of squares there are in the third figure
(a)

Answer to Problem 32PPS
In the 3rd figure the number of square is 14
Explanation of Solution
Given:
There is a total 5 squares in the second figure. How many squares are there in the third figure?
Concept Used:
1st figure is having one square
2nd figure is having 5 squares
3rd figure should be 14 squares.
Thus, in the 3rd figure the number of square is 14
(b)
Write a sequence for the first five figures.
(b)

Answer to Problem 32PPS
The sequence for the first five figures: 1, 5, 14, 30, 55
Explanation of Solution
Given:
Write a sequence for the first five figures.
Concept Used:
1st figure is having one square
2nd figure is having 5 squares
3rd figure should be 15 squares.
4th figure should be 30 squares.
5th figure should be 55 squares.
The sequence for the first five figures: 1, 5, 14, 30, 55
Thus, The sequence for the first five figures: 1, 5, 14, 30, 55
(c)
Find the number of squares in the 8 x 8 checker board.
(c)

Answer to Problem 32PPS
The number of squares in a 8 x 8 checker board is 204.
Explanation of Solution
Given:
How many squares are there in a standard 8 x 8 checker board?
Concept Used:
The recursive formula for the sequence:
Calculation:
The recursive formula for the sequence:
Substitute n = 8; the number of squares in 8 x 8 checker board is
Thus, the number of squares in a 8 x 8 checker board is 204.
(d)
Write a formula to represent the number of squares in an n x n grid.
(d)

Answer to Problem 32PPS
Formula to represent the number of squares in n x n grid is
Explanation of Solution
Given:
Write a formula to represent the number of squares in an n x n grid.
Concept Used:
Formula to represent the number of squares in n x n grid is
Thus, Formula to represent the number of squares in n x n grid is
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Introductory Statistics
Pre-Algebra Student Edition
University Calculus: Early Transcendentals (4th Edition)
A First Course in Probability (10th Edition)
- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward
- 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward
- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.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





