c. Ellen has attended FSU for fewer years than d. The business major has attended FSU for 2 y 42 CHAPTER 1| Problem Solving - Polya's Problem-Solving Strategy In Exercises 17 to 22, solve each problem using Polya's four-step problem- solving strategy. Label your work so that each of Polya's four steps is identified. Each of the Little I 26. Little League Baseball teams in a small rural community is sponsore different local business. The names of the tear the Dodgers, the Pirates, the Tigers, and the C The businesses that sponsor the teams are the the supermarket, the service station, and the From the following clues, determine which E 17. Enclose a Region A rancher decides to enclose a rectangular region by using an existing fence along one side of the region and 2240 feet of new fence on the other three sides. The rancher wants the length of the rectangular region to be five times as long as its width. What will be the dimensions of the rectangular region? 18. True-False Test In how many ways can you answer a 15-question test if you answer each question with either a "true," a "false." or an "always false"? 19. Number of Skyboxes The skyboxes at a large sports arena are equally spaced around a circle. The 11th skybox is directly opposite the 35th skybox. How many skyboxes are in the sports arena? 20. A Famous Puzzle A rancher needs to get a dog, a rabbit, and a basket of carrots across a river. The rancher has a small boat that will only stay afloat carrying the rancher and one of the critters or the rancher and the carrots. The rancher cannot leave the dog alone with the rabbit because the dog will eat the rabbit. The rancher cannot leave the rabbit alone with the carrots because the rabbit will eat the carrots. How can the rancher get across the river with the critters and the carrots? sponsors each team. a. The Tigers and the team sponsored by t station have winning records this seaso b. The Pirates and the team sponsored by are coached by parents of the players, Giants and the team sponsored by the coached by the director of the commL c. Jake is the pitcher for the team spons supermarket and coached by his fath d. The game between the Tigers and th sored by the drugstore was rained c EXAMPL Calculate th 27. Map Coloring The following map tries in the Indian subcontinent. Four used to color the countries such that i Solution Use the simp into the form in years: t= I = Pri countries are the same color. I= 200 21. Earnings from Investments An investor bought 20 shares of stock for a total cost of $1200 and then sold all the shares for $1400. A few months later, the investor bought 25 shares of the same stock for a total cost of $1800 and then sold all the shares for $1900. How much did the investor earn on these investments? 1 = 32 The simple Nepal E CHECK Y loan of $150 Solution money India 22. Number of Handshakes If 15 people greet each other at a meeting by shaking hands with one another, how many handshakes will take place? Ba 23. Strategies List five strategies that are included in Polya's second step (devise a plan). 24. Strategies List three strategies that are included in Polya's fourth step (review the solution). 25. Match Students with Their Major Michael, Clarissa, Reggie, and Ellen are attending Florida State University (FSU). One student is a computer science major, one is a chemistry major, one is a business major, and one is a biology major. From the following clues, determine which major each student is pursuing. a. Can this map be colored us such that no two bordering color? Explain. b. Can this map be colored u that no two bordering cou Explain. a. Michael and the computer science major are next- door neighbors. b. Clarissa and the chemistry major have attended FSU 28. Find a Route The follow bridges and 3 islands betwe and South Bay. for 2 years. Reggie has attended FSU for 3 years, and the biology major has attended FSU for 4 years. a. During your morning w over each bridge exactl Pakistan

c. Ellen has attended FSU for fewer years than d. The business major has attended FSU for 2 y 42 CHAPTER 1| Problem Solving - Polya's Problem-Solving Strategy In Exercises 17 to 22, solve each problem using Polya's four-step problem- solving strategy. Label your work so that each of Polya's four steps is identified. Each of the Little I 26. Little League Baseball teams in a small rural community is sponsore different local business. The names of the tear the Dodgers, the Pirates, the Tigers, and the C The businesses that sponsor the teams are the the supermarket, the service station, and the From the following clues, determine which E 17. Enclose a Region A rancher decides to enclose a rectangular region by using an existing fence along one side of the region and 2240 feet of new fence on the other three sides. The rancher wants the length of the rectangular region to be five times as long as its width. What will be the dimensions of the rectangular region? 18. True-False Test In how many ways can you answer a 15-question test if you answer each question with either a "true," a "false." or an "always false"? 19. Number of Skyboxes The skyboxes at a large sports arena are equally spaced around a circle. The 11th skybox is directly opposite the 35th skybox. How many skyboxes are in the sports arena? 20. A Famous Puzzle A rancher needs to get a dog, a rabbit, and a basket of carrots across a river. The rancher has a small boat that will only stay afloat carrying the rancher and one of the critters or the rancher and the carrots. The rancher cannot leave the dog alone with the rabbit because the dog will eat the rabbit. The rancher cannot leave the rabbit alone with the carrots because the rabbit will eat the carrots. How can the rancher get across the river with the critters and the carrots? sponsors each team. a. The Tigers and the team sponsored by t station have winning records this seaso b. The Pirates and the team sponsored by are coached by parents of the players, Giants and the team sponsored by the coached by the director of the commL c. Jake is the pitcher for the team spons supermarket and coached by his fath d. The game between the Tigers and th sored by the drugstore was rained c EXAMPL Calculate th 27. Map Coloring The following map tries in the Indian subcontinent. Four used to color the countries such that i Solution Use the simp into the form in years: t= I = Pri countries are the same color. I= 200 21. Earnings from Investments An investor bought 20 shares of stock for a total cost of $1200 and then sold all the shares for $1400. A few months later, the investor bought 25 shares of the same stock for a total cost of $1800 and then sold all the shares for $1900. How much did the investor earn on these investments? 1 = 32 The simple Nepal E CHECK Y loan of $150 Solution money India 22. Number of Handshakes If 15 people greet each other at a meeting by shaking hands with one another, how many handshakes will take place? Ba 23. Strategies List five strategies that are included in Polya's second step (devise a plan). 24. Strategies List three strategies that are included in Polya's fourth step (review the solution). 25. Match Students with Their Major Michael, Clarissa, Reggie, and Ellen are attending Florida State University (FSU). One student is a computer science major, one is a chemistry major, one is a business major, and one is a biology major. From the following clues, determine which major each student is pursuing. a. Can this map be colored us such that no two bordering color? Explain. b. Can this map be colored u that no two bordering cou Explain. a. Michael and the computer science major are next- door neighbors. b. Clarissa and the chemistry major have attended FSU 28. Find a Route The follow bridges and 3 islands betwe and South Bay. for 2 years. Reggie has attended FSU for 3 years, and the biology major has attended FSU for 4 years. a. During your morning w over each bridge exactl Pakistan

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 16E

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