
Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Textbook Question
Chapter 10.7, Problem 21E
Shadow Cast Lola is standing outside of a department store. She is 5.5 feet tall and her shadow measures 6.5 feet long. The exterior wall of the store casts a shadow 96 feet long. How tall is the department store wall? Round your answer to the nearest foot.
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Chapter 10 Solutions
Prealgebra (6th Edition)
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Convert. 120feet=yardCh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - Prob. 48ECh. 10.1 - Prob. 49ECh. 10.1 - Prob. 50ECh. 10.1 - Prob. 51ECh. 10.1 - Prob. 52ECh. 10.1 - Vaccines A pharmaceutical firm developed a new...Ch. 10.1 - Prob. 54ECh. 10.1 - Rare Flower A very rare essence of an almost...Ch. 10.1 - Longest Train Run The worlds longest train run is...Ch. 10.1 - Highest Railroad The highest railroad line in the...Ch. 10.1 - Prob. 58ECh. 10.1 - 860quarts=gallonsCh. 10.1 - Prob. 60ECh. 10.1 - 4miles=feetCh. 10.1 - Prob. 62ECh. 10.1 - 9gallons=pintsCh. 10.1 - 10hours=secondsCh. 10.1 - 14.6kg=gCh. 10.1 - 0.83kg=mgCh. 10.1 - 3.22kL=LCh. 10.1 - 3607mL=L=kLCh. 10.1 - 7183mg=g=kgCh. 10.1 - Metric prefixes are also used for computers. A...Ch. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - Prob. 73ECh. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.1 - Mount Whitney is 14,496 feet high. How many miles...Ch. 10.1 - Prob. 2QQCh. 10.1 - Prob. 3QQCh. 10.1 - Prob. 4QQCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Perform each conversion. Round your answer to the...Ch. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Perform each conversion. Round your answer to the...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Prob. 58ECh. 10.2 - Prob. 59ECh. 10.2 - Prob. 60ECh. 10.2 - Prob. 61ECh. 10.2 - Prob. 62ECh. 10.2 - Prob. 63ECh. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.2 - Prob. 66ECh. 10.2 - Prob. 67ECh. 10.2 - Prob. 68ECh. 10.2 - Prob. 69ECh. 10.2 - Prob. 70ECh. 10.2 - Prob. 71ECh. 10.2 - Prob. 72ECh. 10.2 - Prob. 1QQCh. 10.2 - Prob. 2QQCh. 10.2 - Prob. 3QQCh. 10.2 - Prob. 4QQCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Choose from the terms below to fill in the blanks...Ch. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Use the figure to the right to answer exercises 35...Ch. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Given that EFG is a right angle, find the value of...Ch. 10.3 - Prob. 42ECh. 10.3 - Given that STU is a right angle, find the value of...Ch. 10.3 - Given that WXY is a right angle, find the value of...Ch. 10.3 - Prob. 45ECh. 10.3 - Given that LMN is a right angle, find the value of...Ch. 10.3 - Use the figure below to answer exercises 4754....Ch. 10.3 - Use the figure below to answer exercises 4754....Ch. 10.3 - Use the figure below to answer exercises 4754....Ch. 10.3 - Use the figure below to answer exercises 4754....Ch. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.3 - Prob. 53ECh. 10.3 - Prob. 54ECh. 10.3 - In the following figure, xy and the measure of...Ch. 10.3 - In the following figure, mn and the measure of...Ch. 10.3 - In the following figure, mn and the measure of...Ch. 10.3 - Prob. 58ECh. 10.3 - Find the measures of r,s,t,u,v,w,andx given that...Ch. 10.3 - Find the measures of r,s,t,u,v,w,andx given that...Ch. 10.3 - Prob. 61ECh. 10.3 - Find the value of x.Ch. 10.3 - Recall that the sum of the measures of the...Ch. 10.3 - Recall that the sum of the measures of the...Ch. 10.3 - Prob. 65ECh. 10.3 - [1.9.3] Earth-Sun Diameter The approximate size of...Ch. 10.3 - Prob. 1QQCh. 10.3 - Prob. 2QQCh. 10.3 - If PQR is a right angle, find the value of x.Ch. 10.3 - Prob. 4QQCh. 10.4 - Write each of the following as a question. Assume...Ch. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Find the length of the side of a square that has...Ch. 10.4 - Find the length of the side of a square that has...Ch. 10.4 - Find the length of the side of a square that has...Ch. 10.4 - Find the length of the side of a square that has...Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Use your calculator to approximate the value....Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the length of the unknown side of each right...Ch. 10.4 - Find the area of each shape made up of squares and...Ch. 10.4 - Prob. 58ECh. 10.4 - Find the area of each shape made up of rectangles...Ch. 10.4 - Find the area of each shape made up of rectangles...Ch. 10.4 - Solve each applied problem. Round your answer to...Ch. 10.4 - Prob. 62ECh. 10.4 - Solve each applied problem. Round your answer to...Ch. 10.4 - Solve each applied problem. Round your answer to...Ch. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Find the total area of all the vertical areas...Ch. 10.4 - Find the total area of all the vertical areas...Ch. 10.4 - Airplane Wings The top surface of the wings of a...Ch. 10.4 - Airplane Wings The top surface of the wings of a...Ch. 10.4 - [5.1.1] Multiply. 9x221027x2Ch. 10.4 - Prob. 72ECh. 10.4 - Find each square root. Then simplify if possible....Ch. 10.4 - Prob. 2QQCh. 10.4 - Find the length of one leg of a right triangle...Ch. 10.4 - Concept Check State the Pythagorean Theorem and...Ch. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - In exercises 924, use. Round your answer to the...Ch. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - In exercises 924, use. Round your answer to the...Ch. 10.5 - Prob. 15ECh. 10.5 - In exercises 924, use. Round your answer to the...Ch. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - In exercises 924, use. Round your answer to the...Ch. 10.5 - Prob. 23ECh. 10.5 - In exercises 924, use. Round your answer to the...Ch. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - In exercises 2534, use. Round your answer to the...Ch. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - In exercises 2534, use. Round your answer to the...Ch. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Use 3.14 in exercises 35 and 36. Round your answer...Ch. 10.5 - Use 3.14 in exercises 35 and 36. Round your answer...Ch. 10.5 - Round your answer to the nearest hundredth for...Ch. 10.5 - Round your answer to the nearest hundredth for...Ch. 10.5 - Find the volume of each rectangular box. [3.3.3]...Ch. 10.5 - Find the volume of each rectangular box. [3.3.3]...Ch. 10.5 - For each of the following, use 3.14 and round to...Ch. 10.5 - Prob. 2QQCh. 10.5 - For each of the following, use 3.14 and round to...Ch. 10.5 - For each of the following, use 3.14 and round to...Ch. 10.6 - Name the figure that matches the volume formula....Ch. 10.6 - Prob. 2ECh. 10.6 - Name the figure that matches the volume formula....Ch. 10.6 - Name the figure that matches the volume formula....Ch. 10.6 - Name the figure that matches the volume formula....Ch. 10.6 - Prob. 6ECh. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Find each volume. Use 3.14. Round each answer to...Ch. 10.6 - Prob. 14ECh. 10.6 - Exercises 15 and 16 involve hemispheres. A...Ch. 10.6 - Exercises 15 and 16 involve hemispheres. A...Ch. 10.6 - Find each volume. Use. Round each answer to the...Ch. 10.6 - Find each volume. Use. Round each answer to the...Ch. 10.6 - Find each volume. Use. Round each answer to the...Ch. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - A collar of Styrofoam is made to insulate a pipe....Ch. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Use the following formulas for surface area for...Ch. 10.6 - Use the following formulas for surface area for...Ch. 10.6 - Solve each proportion. [4.6.3] 2440=x120Ch. 10.6 - Solve each proportion. [4.6.3] 18x=1210Ch. 10.6 - Solve each proportion. [5.4.2] Multiply. 212334Ch. 10.6 - Solve each proportion. [5.4.2] 712435Ch. 10.6 - Prob. 1QQCh. 10.6 - Find the volume of a cone of radius 3 inches and...Ch. 10.6 - Prob. 3QQCh. 10.6 - Prob. 4QQCh. 10.7 - Fill in the blanks. The corresponding angles of...Ch. 10.7 - Fill in the blanks. The lengths of _______ sides...Ch. 10.7 - Fill in the blanks. The ________ of similar...Ch. 10.7 - Fill in the blanks. The corresponding sides of...Ch. 10.7 - Prob. 5ECh. 10.7 - Prob. 6ECh. 10.7 - Prob. 7ECh. 10.7 - Prob. 8ECh. 10.7 - Prob. 9ECh. 10.7 - Prob. 10ECh. 10.7 - Prob. 11ECh. 10.7 - Prob. 12ECh. 10.7 - Two triangles are similar. The smaller triangle...Ch. 10.7 - Two triangles are similar. The smaller triangle...Ch. 10.7 - Two triangles are similar. The larger triangle has...Ch. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - A flagpole casts a shadow. At the same time, a...Ch. 10.7 - Prob. 20ECh. 10.7 - Shadow Cast Lola is standing outside of a...Ch. 10.7 - Shadow Cast Huy is rock climbing in Utah. He is 6...Ch. 10.7 - Prob. 23ECh. 10.7 - Each pair of figures is similar. Find the length...Ch. 10.7 - Each pair of figures is similar. Find the length...Ch. 10.7 - Each pair of figures is similar. Find the length...Ch. 10.7 - Blueprints The blueprints for a home being built...Ch. 10.7 - Miniature Model Van A plastic model of a van that...Ch. 10.7 - How would you find the relationship between the...Ch. 10.7 - How would you find the relationship between the...Ch. 10.7 - Perform the operations indicated. Use the correct...Ch. 10.7 - Prob. 32ECh. 10.7 - Perform the operations indicated. Use the correct...Ch. 10.7 - Perform the operations indicated. Use the correct...Ch. 10.7 - These two triangles are similar. Find the length...Ch. 10.7 - Prob. 2QQCh. 10.7 - The width of a rectangle is 8 feet and its length...Ch. 10.7 - Concept Check Refer to Quick Quiz 2 to answer the...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - Prob. 9RPCh. 10 - Fill in the blank with the definition for each...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Fill in the blank with the definition for each...Ch. 10 - Write each formula using symbols and numbers. Area...Ch. 10 - Write each formula using symbols and numbers....Ch. 10 - Write each formula using symbols and numbers. Area...Ch. 10 - Write each formula using symbols and numbers....Ch. 10 - Write each formula using symbols and numbers....Ch. 10 - Write each formula using symbols and numbers....Ch. 10 - Write each formula using symbols and numbers....Ch. 10 - Prob. 20RPCh. 10 - Convert. When necessary, express your answer as a...Ch. 10 - Convert. When necessary, express your answer as a...Ch. 10 - Convert. When necessary, express your answer as a...Ch. 10 - Convert. When necessary, express your answer as a...Ch. 10 - Prob. 25RPCh. 10 - Prob. 26RPCh. 10 - Prob. 27RPCh. 10 - Prob. 28RPCh. 10 - Prob. 29RPCh. 10 - Convert. Do not round your answer. 2598mm=cmCh. 10 - Prob. 31RPCh. 10 - Convert. Do not round your answer. 6.3m=cmCh. 10 - Convert. Do not round your answer. 5km=mCh. 10 - Convert. Do not round your answer. 15kL=LCh. 10 - Convert. Do not round your answer. 473m=kmCh. 10 - Convert. Do not round your answer. 196kg=gCh. 10 - Convert. Do not round your answer. 721kg=gCh. 10 - Solve each problem. Round your answer to the...Ch. 10 - Solve each problem. Round your answer to the...Ch. 10 - Prob. 40RPCh. 10 - Perform each conversion. Round your answer to the...Ch. 10 - Perform each conversion. Round your answer to the...Ch. 10 - Perform each conversion. Round your answer to the...Ch. 10 - Prob. 44RPCh. 10 - Perform each conversion. Round your answer to the...Ch. 10 - Prob. 46RPCh. 10 - Prob. 47RPCh. 10 - Distance Traveled Keshia traveled at 90 km/hr for...Ch. 10 - Cereal Cost The unit price on a box of breakfast...Ch. 10 - Prob. 50RPCh. 10 - Use the figure to the right to answer exercises 50...Ch. 10 - Prob. 52RPCh. 10 - In the figure to the right, given that ABC is a...Ch. 10 - Use the figure to the right to answer exercises...Ch. 10 - Prob. 55RPCh. 10 - Prob. 56RPCh. 10 - In the following figure, ab and the measure of w...Ch. 10 - Find each square root without using a calculator....Ch. 10 - Find each square root without using a calculator....Ch. 10 - Approximate using a calculator. Round your answer...Ch. 10 - Approximate using a calculator. Round your answer...Ch. 10 - Find each square root and then simplify. 6425Ch. 10 - Find each square root and then simplify. 121+16Ch. 10 - Prob. 64RPCh. 10 - Find the length of the unknown side of the right...Ch. 10 - Prob. 66RPCh. 10 - For exercises 6771, use 3.14. Round your answer to...Ch. 10 - Prob. 68RPCh. 10 - For exercises 6771, use 3.14. Round your answer to...Ch. 10 - Prob. 70RPCh. 10 - For exercises 6771, use 3.14. Round your answer to...Ch. 10 - Find the volume of each object. Use 3.14 and round...Ch. 10 - Find the volume of each object. Use 3.14 and round...Ch. 10 - Prob. 74RPCh. 10 - Prob. 75RPCh. 10 - Prob. 76RPCh. 10 - Find the volume of each object. Use 3.14 and round...Ch. 10 - Find the volume of each object. Use 3.14 and round...Ch. 10 - Convert each of the following. a. 145 ounces to...Ch. 10 - Convert each of the following. a. 162 grams to...Ch. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Fred is traveling through Europe. 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- how to construct the following same table?arrow_forwardThe following is known. The complete graph K2t on an even number of vertices has a 1- factorization (equivalently, its edges can be colored with 2t - 1 colors so that the edges incident to each vertex are distinct). This implies that the complete graph K2t+1 on an odd number of vertices has a factorization into copies of tK2 + K₁ (a matching plus an isolated vertex). A group of 10 people wants to set up a 45 week tennis schedule playing doubles, each week, the players will form 5 pairs. One of the pairs will not play, the other 4 pairs will each play one doubles match, two of the pairs playing each other and the other two pairs playing each other. Set up a schedule with the following constraints: Each pair of players is a doubles team exactly 4 times; during those 4 matches they see each other player exactly once; no two doubles teams play each other more than once. (a) Find a schedule. Hint - think about breaking the 45 weeks into 9 blocks of 5 weeks. Use factorizations of complete…arrow_forward. The two person game of slither is played on a graph. Players 1 and 2 take turns, building a path in the graph. To start, Player 1 picks a vertex. Player 2 then picks an edge incident to the vertex. Then, starting with Player 1, players alternate turns, picking a vertex not already selected that is adjacent to one of the ends of the path created so far. The first player who cannot select a vertex loses. (This happens when all neighbors of the end vertices of the path are on the path.) Prove that Player 2 has a winning strategy if the graph has a perfect matching and Player 1 has a winning strategy if the graph does not have a perfect matching. In each case describe a strategy for the winning player that guarantees that they will always be able to select a vertex. The strategy will be based on using a maximum matching to decide the next choice, and will, for one of the cases involve using the fact that maximality means no augmenting paths. Warning, the game slither is often described…arrow_forward
- Let D be a directed graph, with loops allowed, for which the indegree at each vertex is at most k and the outdegree at each vertex is at most k. Prove that the arcs of D can be colored so that the arcs entering each vertex must have distinct colors and the arcs leaving each vertex have distinct colors. An arc entering a vertex may have the same color as an arc leaving it. It is probably easiest to make use of a known result about edge coloring. Think about splitting each vertex into an ‘in’ and ‘out’ part and consider what type of graph you get.arrow_forward3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forwardplease work out more details give the solution.arrow_forward
- Problem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.arrow_forwardBurger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 30 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 44 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an…arrow_forwardPEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forward
- Note: A waiting line model solver computer package is needed to answer these questions. The Kolkmeyer Manufacturing Company uses a group of six identical machines, each of which operates an average of 18 hours between breakdowns. With randomly occurring breakdowns, the Poisson probability distribution is used to describe the machine breakdown arrival process. One person from the maintenance department provides the single-server repair service for the six machines. Management is now considering adding two machines to its manufacturing operation. This addition will bring the number of machines to eight. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The service rate for each individual assigned to the repair operation is 0.50 machines per hour. (a) Compute the operating characteristics if the company retains the single-employee repair operation. (Round your answers to four decimal places. Report time in hours.) La = L = Wa = W =…arrow_forward10 20 30 y vernier protractor scales. 60 30 0 30 60 40 30 20 10 0 30 60 0 10. Write the complement of each of the following angles. a. 67° b. 17°41' 11. Write the supplement of each of the following angles. a.41° b.99°32' 30 60 C. 20 10 20 90 60 30 69 30 30 40 50 c. 54°47' 53" 0 30 60 c. 103°03'27" 12. Given: AB CD and EF GH. Determine the value of each angle, 21 through /10, to the nearer minute. A- 25 21 = 22 = 23 = 24 = 25 = 46= 27 = C 28 = 29 = 210 = E 26 22 210 81°00' 29 4 142°00' G H 94°40' B Darrow_forward5. For the function y-x³-3x²-1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (e) determine the intervals of concavity. (d) determine the points of inflection. (e) sketch the graph with the above information indicated on the graph.arrow_forward
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