ALGEBRA 1:COMMON CORE
22nd Edition
ISBN: 9781647274160
Author: Larson
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.5, Problem 21P
List all the subsets of each set.
{−5,5}
Expert Solution & Answer

To determine
To find:All the subsets of {−5,5}
Answer to Problem 21P
The subsets of {−5,5} are {−5,5},{−5},{5},{ϕ}
Explanation of Solution
Given information:The set {−5,5}
Calculation:The number of possible subsets of a set with n number of elements is 2n
Here, n=2 , then number of possible subsets =22=4
The subsets of {−5,5} are
{−5,5},{−5},{5},{ϕ} , where {ϕ} is the null set.
Chapter 3 Solutions
ALGEBRA 1:COMMON CORE
Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Graph each inequality. y2Ch. 3.1 - Graph each inequality. t4
Ch. 3.1 - Graph each inequality. z3Ch. 3.1 - Graph each inequality. v15Ch. 3.1 - Graph each inequality. 3fCh. 3.1 - Graph each inequality. 53cCh. 3.1 - Write an inequality for each graph.Ch. 3.1 - Write an inequality for each graph.Ch. 3.1 - Write an inequality for each graph.Ch. 3.1 - Write an inequality for each graph.Ch. 3.1 - Define a variable and write an inequality to model...Ch. 3.1 - Define a variable and write an inequality to model...Ch. 3.1 - Define a variable and write an inequality to model...Ch. 3.1 - Write each inequality in words. n3Ch. 3.1 - Write each inequality in words. b0Ch. 3.1 - Write each inequality in words. 5xCh. 3.1 - Write each inequality in words. 23.14Ch. 3.1 - Write each inequality in words. 26.4qCh. 3.1 - Write each inequality in words. 27.18mCh. 3.1 - A local pizzeria offered a special. Two pizzas...Ch. 3.1 - A student needs at least seven hours of sleep each...Ch. 3.1 - For Exercises 16, choose the correct letter. A...Ch. 3.1 - For Exercises 16, choose the correct Ietter. All...Ch. 3.1 - For Exercises 16, choose the correct letter. Which...Ch. 3.1 - For Exercises 16, choose the correct letter. Which...Ch. 3.1 - For Exercises 16, choose the correct letter. Which...Ch. 3.1 - For Exercises 16, choose the correct letter. Which...Ch. 3.1 - The chess club is seeking to raise at least $ 150...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - State what number you would add to or subtract...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Graph and check your...Ch. 3.2 - Solve each inequality. Justify each step....Ch. 3.2 - Solve each inequality. Justify each step. 17+d127Ch. 3.2 - Solve each inequality. Justify each step. 23+v790Ch. 3.2 - Solve each inequality. Justify each step. 2p4+3p10Ch. 3.2 - Solve each inequality. Justify each step....Ch. 3.2 - Solve each inequality. Justify each step. 5m4m+412Ch. 3.2 - The goal of a toy drive is to donate more than...Ch. 3.2 - A family earns $ 1800 a month. The familys...Ch. 3.2 - To go to the next level in a certain video game,...Ch. 3.2 - For Exercises 16, choose the correct letter. What...Ch. 3.2 - For Exercises 16, choose the correct letter. What...Ch. 3.2 - For Exercises 16, choose the correct letter. Which...Ch. 3.2 - For Exercises 16, choose the correct letter. Which...Ch. 3.2 - For Exercises 16, choose the correct letter. Which...Ch. 3.2 - For Exercises 16, choose the correct letter. Your...Ch. 3.2 - In order to earn an A in a class, your test scores...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Solve each inequality. Graph and check your...Ch. 3.3 - Writing On a certain marathon course, a runner...Ch. 3.3 - You wonder if you can save money by using your...Ch. 3.3 - The unit cost for a piece of fabric is $ 4.99 per...Ch. 3.3 - For Exercises 15, choose the correct letter. What...Ch. 3.3 - For Exercises 15, choose the correct letter. What...Ch. 3.3 - For Exercises 15, choose the correct letter. What...Ch. 3.3 - For Exercises 15, choose the correct letter. You...Ch. 3.3 - For Exercises 15, choose the correct letter. Which...Ch. 3.3 - In a town, there are 170 teenagers that own...Ch. 3.4 - Solve each inequality. Check your solutions....Ch. 3.4 - Solve each inequality. Check your solutions....Ch. 3.4 - Solve each inequality. Check your solutions. 33y38Ch. 3.4 - Solve each inequality. Check your solutions....Ch. 3.4 - Solve each inequality. Check your solutions....Ch. 3.4 - Solve each inequality. Check your solutions....Ch. 3.4 - Solve each inequality. 2(k+4)3k14Ch. 3.4 - Solve each inequality. 3(4c5)2c0Ch. 3.4 - Solve each inequality. 15(j3)+3j45Ch. 3.4 - Solve each inequality. 225(2y+3)3yCh. 3.4 - Solve each inequality. 11.533(3z+3)+3zCh. 3.4 - Solve each inequality. 20(d4)+4d8Ch. 3.4 - Solve each inequality. x+23x6Ch. 3.4 - Solve each inequality. 3v125v+10Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - Solve each inequality, if possible. If the...Ch. 3.4 - A grandmother says her grandson is two years older...Ch. 3.4 - A family decides to rent a boat for the day while...Ch. 3.4 - Writing Suppose a friend is having difficulty...Ch. 3.4 - Open-Ended Write two different inequalities that...Ch. 3.4 - Reasoning a. Solve 3v52v+10 by gathering the...Ch. 3.4 - For Exercises 16, choose the correct letter. What...Ch. 3.4 - For Exercises 16, choose the correct letter. What...Ch. 3.4 - For Exercises 16, choose the correct letter. What...Ch. 3.4 - For Exercises 16, choose the correct letter. Which...Ch. 3.4 - For Exercises 16, choose the correct letter. You...Ch. 3.4 - For Exercises 16, choose the correct letter....Ch. 3.4 - The perimeter of a rectangle is at least 32cm. The...Ch. 3.5 - Write each set in roster form and in set-builder...Ch. 3.5 - Write each set in roster form and in set-builder...Ch. 3.5 - Write each set in roster form and in set-builder...Ch. 3.5 - Write each set in roster form and in set-builder...Ch. 3.5 - Write each set in set-builder notation....Ch. 3.5 - Write each set in set-builder notation....Ch. 3.5 - Write each set in set-builder notation....Ch. 3.5 - Write each set in set-builder notation....Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - Write the solutions of each inequality in...Ch. 3.5 - List all the subsets of each set. a,b,c,dCh. 3.5 - List all the subsets of each set. 0,3,6,9Ch. 3.5 - List all the subsets of each set. { car, bus,...Ch. 3.5 - List all the subsets of each set. 5,5Ch. 3.5 - List all the subsets of each set. 0Ch. 3.5 - List all the subsets of each set. {red, blue,...Ch. 3.5 - Suppose U=0,2,4,6,8,10 is the universal set and...Ch. 3.5 - Suppose U=,5,3,1,1,3,5, is the universal set and...Ch. 3.5 - Suppose U=xxisamultipleof3,x18 is the universal...Ch. 3.5 - Suppose U=xxisarealnumber,x3 is the universal set...Ch. 3.5 - Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell...Ch. 3.5 - Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell...Ch. 3.5 - Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell...Ch. 3.5 - Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell...Ch. 3.5 - Let the universal set U and set B be as defined...Ch. 3.5 - For Exercises 16, choose the correct letter. What...Ch. 3.5 - For Exercises 16, choose the correct letter. What...Ch. 3.5 - For Exercises 16, choose the correct letter. Which...Ch. 3.5 - For Exercises 16, choose the correct letter. Given...Ch. 3.5 - For Exercises 16, choose the correct letter....Ch. 3.5 - For Exercises 16, choose the correct letter....Ch. 3.5 - For Exercises 16, choose the correct letter. The...Ch. 3.6 - Write a compound inequality that represents each...Ch. 3.6 - Write a compound inequality that represents each...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Solve each compound inequality. Graph your...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each interval as an inequality. Then graph...Ch. 3.6 - Write each inequality or set in interval notation....Ch. 3.6 - Write each inequality or set in interval notation....Ch. 3.6 - Write each inequality or set in interval notation....Ch. 3.6 - Write each inequality or set in interval notation....Ch. 3.6 - Write a compound inequality that each graph could...Ch. 3.6 - Write a compound inequality that each graph could...Ch. 3.6 - Write a compound inequality that each graph could...Ch. 3.6 - Write a compound inequality that each graph could...Ch. 3.6 - Solve each compound inequality. Justify each step....Ch. 3.6 - Solve each compound inequality. Justify each step....Ch. 3.6 - Solve each compound inequality. Justify each step....Ch. 3.6 - Solve each compound inequality. Justify each step....Ch. 3.6 - The absorbency of a certain towel is considered...Ch. 3.6 - A family is comparing different car seats. One car...Ch. 3.6 - For Exercises 15, choose the correct letter. Which...Ch. 3.6 - For Exercises 15, choose the correct letter. What...Ch. 3.6 - For Exercises 15, choose the correct letter. What...Ch. 3.6 - For Exercises 15, choose the correct letter. Which...Ch. 3.6 - For Exercises 15, choose the correct letter. A...Ch. 3.6 - a. Solve the compound inequality 43p75. Show your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. Graph and check your...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve each equation. If there is no solution,...Ch. 3.7 - Solve and graph each inequality. x1Ch. 3.7 - Solve and graph each inequality. x2Ch. 3.7 - Solve and graph each inequality. x+310Ch. 3.7 - Solve and graph each inequality. y+412Ch. 3.7 - Solve and graph each inequality. y18Ch. 3.7 - Solve and graph each inequality. p65Ch. 3.7 - Solve and graph each inequality. 3c412Ch. 3.7 - Solve and graph each inequality. 2t+234Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Solve each equation or inequality. If there is no...Ch. 3.7 - Write an absolute value inequality that represents...Ch. 3.7 - Write an absolute value inequality that represents...Ch. 3.7 - Write an absolute value inequality that represents...Ch. 3.7 - Write an absolute value inequality that represents...Ch. 3.7 - A child takes a nap averaging three hours and gets...Ch. 3.7 - In a sports poll, 53 of those surveyed believe...Ch. 3.7 - For Exercises 15, choose the correct letter. What...Ch. 3.7 - For Exercises 15, choose the correct letter. What...Ch. 3.7 - For Exercises 15, choose the correct letter. What...Ch. 3.7 - For Exercises 15, choose the correct letter. Some...Ch. 3.7 - For Exercises 15, choose the correct letter. A...Ch. 3.7 - A student reads an average of 34 pages per day....Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Find each union or intersection. Let...Ch. 3.8 - Draw a Venn diagram to represent the union and...Ch. 3.8 - Draw a Venn diagram to represent the union and...Ch. 3.8 - Each student at a particular school participates...Ch. 3.8 - A local parks department asked 300 people if they...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - Solve each inequality. Write the solutions as...Ch. 3.8 - A salon offers three services-manicures, massages,...Ch. 3.8 - Solve each exercise and enter your answer on the...Ch. 3.8 - Solve each exercise and enter your answer on the...Ch. 3.8 - Solve each exercise and enter your answer on the...Ch. 3.8 - Solve each exercise and enter your answer on the...Ch. 3.8 - Solve each exercise and enter your answer on the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
A categorical variable has three categories, with the following frequencies of occurrence: a. Compute the perce...
Basic Business Statistics, Student Value Edition
Expression for total amount spent.
Pre-Algebra Student Edition
Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...
College Algebra (7th Edition)
The null hypothesis, alternative hypothesis, test statistic, P-value and state the conclusion. To test: Whether...
Elementary Statistics
Interpreting a Decision In Exercises 43–48, determine whether the claim represents the null hypothesis or the a...
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Which graph represents f(x) = √x-2+3?arrow_forwardPractice Assignment 5.6 Rational Functions M Practice Assig Practice Assignment 5.6 Rational Functions Score: 120/150 Answered: 12/15 Question 10 A Write an equation for the function graphed below 5 + 4 1 2 H + + -7 -6 -5 -4 -3 -2 -1 2 34567 | -2 ర y = Question Help: Video Message instructor Post to forum Submit Questionarrow_forwardit's not algebra 4th gradearrow_forward
- x/x-2 + 3/x-4arrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor verly A:LeLM be a subset of a linear space X, show that M is a hyperplane of X iff there exists fe X'/[0] and a EF such that M = {x Ex/f(x) = = a}. B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, EX iff for any sequence (x) in X converge to x, then the sequence (f(x)) converge to (f(x)) in Y.arrow_forward2/26 Delta Math | Schoology X Unit 4: Importance of Education X Speech at the United Nations b x Book Thief Part 7 Summaries x + > CA Materials pdsd.schoology.com/external_tool/3157780380/launch ☆ MC Updates Grades Members BrainPOP Canva for Education DeltaMath Discovery Education FactCite Gale In Context: High Sc. Graw McGraw Hill K-12 SSO Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it. 10 9 8 5 сл y Hill Nearpod 3 2 Newsela -10 -9 -8 -7 b -5 -4-3-2 -1 1 23 4 5 b 7 89 10 Scholastic Digital Mana. World Book Online Information Grading periods MP3: 2025-01-25-2025-03- 31, MP4: 2025-04-01-2025- 06-13 ← 2 M -> C % 95 54 # m e 4 7 巴 DELL A t y & * ) 7 8 9 . i L Feb 27 12:19 US + 11arrow_forward
- Let & be linear map from as Pacex into aspace and {X1, X2, – 1— x3 basis for x show that f a one-to-one isf {f(x1), f (xx); — F (Kn) } linearly independent. மம் let M be a Proper sub space of aspace X then M is ahyper space iff for any text&M X=. C) let X be a linear space and fe X1{0} Show that is bjective or not and why? ***********arrow_forwardQ₁/(a) Let S and T be subsets of a vector space X over a field F such that SCT,show that whether (1) if S generate X then T generate X or not. (2) if T generate X then S generate X or not. (b) Let X be a vector space over a field F and A,B are subsets of X such that A is convex set and B is affine set, show that whether AnB is convex set or not, and if f be a function from X into a space Y then f(B) is an affine set or not. /(a) Let M and N be two hyperspaces of a space X write a condition to prove MUN is a hyperspace of X and condition to get that MUN is not hyperspace of X. Write with prove application n Panach theoremarrow_forwardMatch the division problem on the left with the correct quotient on the left. Note that the denominators of the reminders are omitted and replaced with R. 1) (k3-10k²+k+1) ÷ (k − 1) 2) (k4-4k-28k45k+26)+(k+7) 3) (20k+222-7k+7)+(5k-2) 4) (3+63-15k +32k-25)+(k+4) 5) (317k 13) ÷ (k+4) - 6) (k-k+8k+5)+(k+1) 7) (4-12k+6) + (k-3) 8) (3k+4k3 + 15k + 10) ÷ (3k+4) A) 3k3-6k29k - 4 B) 4k2 + 6 R 7 C)²-9k-8- R D) 4k2+6x+1+ E) 10 Elk³-5-12 R 9 F) k² - 4k R 9 R G) k3-3k2-7k+4 H) k³-k²+8 - 3 R - R 9 Rarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- 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

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License