MATH IN OUR WORLD:LL W/ALEKS >BI<
4th Edition
ISBN: 9781260513714
Author: sobecki
Publisher: MCG
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Chapter 6.4, Problem 67E
To determine
To find: The amount of money waitress makes for a 4-hour shift and 8-hour shift if the pay rate is the same.
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Chapter 6 Solutions
MATH IN OUR WORLD:LL W/ALEKS >BI<
Ch. 6.1 - Translate each verbal statement into symbols. (a)...Ch. 6.1 - Prob. 2TTOCh. 6.1 - Prob. 3TTOCh. 6.1 - Prob. 4TTOCh. 6.1 - Prob. 5TTOCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Whats the difference between checking your answer...
Ch. 6.1 - Prob. 6ECh. 6.1 - 3 less than a numberCh. 6.1 - A number decreased by 17Ch. 6.1 - A number increased by 9Ch. 6.1 - 6 increased by a numberCh. 6.1 - 11 decreased by a numberCh. 6.1 - 8 more than a numberCh. 6.1 - 6 subtracted from a numberCh. 6.1 - 7 times a numberCh. 6.1 - One-half a number added to that numberCh. 6.1 - 5 more than 3 times a numberCh. 6.1 - The quotient of 3 times a number and 6Ch. 6.1 - 4 less than 6 times a numberCh. 6.1 - The quotient of a number and 14Ch. 6.1 - The product of 7 and a number, all subtracted from...Ch. 6.1 - Triple the sum of a number and pi.Ch. 6.1 - One-fourth the difference of 12 and a number.Ch. 6.1 - Three times a number subtracted from the quotient...Ch. 6.1 - The sum of 146 and the product of a number raised...Ch. 6.1 - The square of the sum formed from adding five...Ch. 6.1 - The square root of the difference between half a...Ch. 6.1 - Six times a certain number plus the number is...Ch. 6.1 - The sum of a number and the number plus 2 is equal...Ch. 6.1 - Twice a number is 32 less than 4 times the number....Ch. 6.1 - The larger of two numbers is 10 more than the...Ch. 6.1 - The difference of two numbers is 6. The sum of the...Ch. 6.1 - Five times a number is equal to the number...Ch. 6.1 - Twice a number is 24 less than 4 times the number....Ch. 6.1 - The difference between one-half a number and the...Ch. 6.1 - Twelve more than a number is divided by 2. The...Ch. 6.1 - Eighteen less than a number is tripled, and the...Ch. 6.1 - A math class containing 57 students was divided...Ch. 6.1 - 38. In 2015, the Coca-Cola company and PepsiCo had...Ch. 6.1 - The cost, including sales tax, of a Ford Focus SE...Ch. 6.1 - During the first day of a heat wave, an emergency...Ch. 6.1 - Prob. 41ECh. 6.1 - If Marita invested half of her money at 8% and...Ch. 6.1 - A basketball team played 32 games and won 4 more...Ch. 6.1 - Prob. 44ECh. 6.1 - If a television set is marked 13 off and sells for...Ch. 6.1 - A carpenter wanted to cut a 6-foot board into...Ch. 6.1 - The Halloween Association reported that last year,...Ch. 6.1 - In a charity triathlon, Mark ran half the distance...Ch. 6.1 - A nurse is told to give a patient recovering from...Ch. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - In 2011, there were 92 female officials in...Ch. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - If the perimeter of a triangular flower bed is 15...Ch. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - The temperature and the wind combine to cause body...Ch. 6.1 - Prob. 64ECh. 6.1 - The prevailing winds for air travel in the United...Ch. 6.1 - In an attempt to conserve energy (and, lets be...Ch. 6.1 - Winona has two jobs: one pays 11.25 per hour, and...Ch. 6.1 - Prob. 68ECh. 6.2 - From 1969 through 1977, there were 24 teams in...Ch. 6.2 - Find the ratio of 40 ounces to 2 pounds. (There...Ch. 6.2 - Decide if each proportion is true or false. (a)...Ch. 6.2 - Solve the proportion: x7=2225Ch. 6.2 - Solve the proportion: x+615=x25Ch. 6.2 - Prob. 6TTOCh. 6.2 - The staff biologists at a wildlife preserve tagged...Ch. 6.2 - A 6-month-old Labrador puppy gets 412 cups of food...Ch. 6.2 - Prob. 9TTOCh. 6.2 - Prob. 10TTOCh. 6.2 - Prob. 11TTOCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Describe the procedure for solving a proportion.Ch. 6.2 - What is the constant of proportionality in a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 716, write each ratio statement as a...Ch. 6.2 - For Exercises 1726, solve each proportion. 17....Ch. 6.2 - For Exercises 1726, solve each proportion. 18....Ch. 6.2 - For Exercises 1726, solve each proportion. 19....Ch. 6.2 - For Exercises 1726, solve each proportion. 20....Ch. 6.2 - For Exercises 1726, solve each proportion. 21....Ch. 6.2 - For Exercises 1726, solve each proportion. 22....Ch. 6.2 - For Exercises 1726, solve each proportion. 23....Ch. 6.2 - For Exercises 1726, solve each proportion. 24....Ch. 6.2 - For Exercises 1726, solve each proportion. 25....Ch. 6.2 - For Exercises 1726, solve each proportion. 26....Ch. 6.2 - The Information Resources Institute reports that...Ch. 6.2 - The U.S. Department of Agriculture reported that...Ch. 6.2 - Under normal conditions, 1.5 feet of snow will...Ch. 6.2 - The Travel Industry Association of America reports...Ch. 6.2 - A gallon of paint will cover 640 square feet of...Ch. 6.2 - The American Dietetic Association reported that 31...Ch. 6.2 - The U.S. Census Bureau reported that 9 out of...Ch. 6.2 - Angel took a 2-year lease on a new car and after 8...Ch. 6.2 - Prob. 37ECh. 6.2 - The American Dietetic Association states that 11...Ch. 6.2 - Mark is interested in measuring the height of a...Ch. 6.2 - An online photo printing service will put any...Ch. 6.2 - A small college has 1,200 students and 80...Ch. 6.2 - Prob. 42ECh. 6.2 - According to a poll conducted by the Pew Research...Ch. 6.2 - Based on a combination of worldwide surveys...Ch. 6.2 - 45. According to a poll conducted by the Gallup...Ch. 6.2 - Prob. 46ECh. 6.2 - The amount of simple interest on a specific amount...Ch. 6.2 - The number of tickets purchased for a prize varies...Ch. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Under certain conditions, the pressure of a gas...Ch. 6.2 - The strength of a particular beam varies inversely...Ch. 6.2 - In karate, the force needed to break a board...Ch. 6.2 - The weight of a body varies inversely with the...Ch. 6.2 - The time to complete a project is inversely...Ch. 6.2 - The intensity of sound varies inversely as the...Ch. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.2 - Prob. 61ECh. 6.2 - Prob. 62ECh. 6.2 - Prob. 63ECh. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.2 - Prob. 69ECh. 6.2 - Prob. 70ECh. 6.2 - Prob. 71ECh. 6.2 - Prob. 72ECh. 6.3 - Plot the points whose coordinates are (5, 3), (1,...Ch. 6.3 - Prob. 2TTOCh. 6.3 - Prob. 3TTOCh. 6.3 - Graph 2x y = 10.Ch. 6.3 - Prob. 5TTOCh. 6.3 - Find the slope of a line passing through the...Ch. 6.3 - Prob. 7TTOCh. 6.3 - Prob. 8TTOCh. 6.3 - Graph each line. (a) x = 7 (b) y = 1Ch. 6.3 - The cost of a medium cheese pizza at Marios Campus...Ch. 6.3 - A contestant on The Biggest Loser starts out...Ch. 6.3 - How can you tell what quadrant a point is in by...Ch. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - For Exercises 922, plot each point on the...Ch. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - For Exercises 922, plot each point on the...Ch. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - In Problems 2330, write the coordinates of the...Ch. 6.3 - For Exercises 3140, draw the graph for each...Ch. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - For Exercises 4148, find the slope of the line...Ch. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - For Exercises 4956, find the coordinates of both...Ch. 6.3 - For Exercises 4956, find the coordinates of both...Ch. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - For Exercises 5764, write the equation in...Ch. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - For Exercises 5764, write the equation in...Ch. 6.3 - For Exercises 5764, write the equation in...Ch. 6.3 - For Exercises 5764, write the equation in...Ch. 6.3 - For Exercises 6568, draw the graph for each...Ch. 6.3 - Prob. 66ECh. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - A newspapers website charges 6.50 per week to run...Ch. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 - Prob. 73ECh. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - Prob. 76ECh. 6.3 - Prob. 77ECh. 6.3 - Prob. 78ECh. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.3 - Prob. 81ECh. 6.3 - Prob. 82ECh. 6.3 - Prob. 83ECh. 6.3 - Prob. 84ECh. 6.3 - Prob. 85ECh. 6.3 - Prob. 86ECh. 6.3 - Prob. 87ECh. 6.3 - Prob. 88ECh. 6.3 - Prob. 89ECh. 6.3 - Prob. 90ECh. 6.3 - Prob. 91ECh. 6.3 - Prob. 92ECh. 6.3 - Prob. 93ECh. 6.3 - Prob. 94ECh. 6.3 - Prob. 95ECh. 6.3 - Prob. 96ECh. 6.4 - Which of the following equations represent...Ch. 6.4 - Prob. 2TTOCh. 6.4 - Prob. 3TTOCh. 6.4 - Find the domain and range of the following...Ch. 6.4 - Prob. 5TTOCh. 6.4 - Prob. 6TTOCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - In the linear function f(x) = ax + b, what is the...Ch. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - For Exercises 922, state whether or not the...Ch. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - For Exercises 922, state whether or not the...Ch. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - For Exercises 3546, find the domain and range of...Ch. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - In Exercises 4756, graph each linear function. 52....Ch. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - The percentage of the adult population that smokes...Ch. 6.4 - The percentage of the adult population that smokes...Ch. 6.4 - The percentage of the adult population that smokes...Ch. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - The percentage of the adult population that smokes...Ch. 6.4 - Prob. 64ECh. 6.4 - Prob. 65ECh. 6.4 - Prob. 66ECh. 6.4 - Prob. 67ECh. 6.4 - A realtor makes a commission of 6% of the purchase...Ch. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.4 - Prob. 71ECh. 6.4 - A salesperson earns a base income of 250 a week...Ch. 6.4 - Prob. 73ECh. 6.4 - Prob. 74ECh. 6.4 - Prob. 75ECh. 6.4 - Prob. 76ECh. 6.4 - While Jenny is studying for class, she realizes...Ch. 6.4 - Prob. 78ECh. 6.4 - Prob. 79ECh. 6.4 - Prob. 80ECh. 6.4 - Prob. 81ECh. 6.4 - At a grocery store, the cashier rang up a total of...Ch. 6.4 - Prob. 83ECh. 6.4 - Prob. 84ECh. 6.4 - The manager of a winery found that when the price...Ch. 6.4 - Prob. 86ECh. 6.4 - While traveling across state lines to retrieve an...Ch. 6.4 - Prob. 88ECh. 6.4 - Prob. 89ECh. 6.4 - Prob. 90ECh. 6.4 - An oven is set to 450 degrees when its turned on....Ch. 6.4 - The independent variable of a function is n, the...Ch. 6.4 - Prob. 93ECh. 6.4 - Prob. 94ECh. 6.4 - Prob. 95ECh. 6.4 - Prob. 96ECh. 6.4 - Prob. 97ECh. 6.4 - Prob. 98ECh. 6.4 - Prob. 99ECh. 6.5 - Prob. 1TTOCh. 6.5 - Prob. 2TTOCh. 6.5 - Prob. 3TTOCh. 6.5 - Prob. 4TTOCh. 6.5 - Prob. 5TTOCh. 6.5 - Prob. 6TTOCh. 6.5 - Prob. 7TTOCh. 6.5 - Prob. 8TTOCh. 6.5 - Prob. 9TTOCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - For Exercises 1122, graph each parabola. 11. f(x)...Ch. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - For Exercises 1122, graph each parabola. 14. f(x)...Ch. 6.5 - For Exercises 1122, graph each parabola. 15. f(x)...Ch. 6.5 - For Exercises 1122, graph each parabola. 16. f(x)...Ch. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - For Exercises 2332, graph each exponential...Ch. 6.5 - For Exercises 2332, graph each exponential...Ch. 6.5 - Prob. 27ECh. 6.5 - For Exercises 2332, graph each exponential...Ch. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - In Exercises 3336, use the change of base formula...Ch. 6.5 - Prob. 36ECh. 6.5 - In Exercises 3336, use the change of base formula...Ch. 6.5 - Prob. 38ECh. 6.5 - In Exercises 3744, solve the equation. Round your...Ch. 6.5 - Prob. 40ECh. 6.5 - In Exercises 3744, solve the equation. Round your...Ch. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - In Exercises 3744, solve the equation. Round your...Ch. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - The profit for a company that produces discount...Ch. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - An online vendor that sells boxes of computer...Ch. 6.5 - Prob. 55ECh. 6.5 - Prob. 56ECh. 6.5 - Prob. 57ECh. 6.5 - In a biology experiment, there were 300,000 cells...Ch. 6.5 - Prob. 59ECh. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.5 - Prob. 62ECh. 6.5 - Prob. 63ECh. 6.5 - Prob. 64ECh. 6.5 - Problems 6366 use the carbon dating equation from...Ch. 6.5 - Prob. 66ECh. 6.5 - Prob. 67ECh. 6.5 - Problems 6366 use the carbon dating equation from...Ch. 6.5 - Prob. 69ECh. 6.5 - Prob. 70ECh. 6.5 - Prob. 71ECh. 6.5 - Prob. 72ECh. 6.5 - Prob. 73ECh. 6.5 - Prob. 74ECh. 6.5 - Prob. 75ECh. 6.5 - Prob. 76ECh. 6.5 - Prob. 77ECh. 6.5 - Prob. 78ECh. 6.5 - Prob. 79ECh. 6.5 - Prob. 80ECh. 6.5 - Prob. 81ECh. 6.5 - Prob. 82ECh. 6.5 - Prob. 83ECh. 6.5 - Now lets compare linear, quadratic, and...Ch. 6.5 - The richest family in town hires you to do 2 weeks...Ch. 6.5 - A new resort in Costa Rica is managed by a retired...Ch. 6 - For Exercises 2831, write each statement in...Ch. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Cindy is making the drive home for Thanksgiving,...Ch. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - At one county detention facility, inmates...Ch. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - For Exercises 3942, write each ratio as a...Ch. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - A professor states that if a student misses a unit...Ch. 6 - Prob. 23RECh. 6 - The amount of paint needed to paint a spherical...Ch. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - What is a rectangular coordinate system? How is it...Ch. 6 - What exactly is the graph of an equation?Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - For Exercises 5254, evaluate each function for the...Ch. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - A marketing company bought high-capacity flash...Ch. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - For Exercises 16 and 17, evaluate each function...Ch. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - Prob. 23CTCh. 6 - Prob. 24CTCh. 6 - Prob. 25CT
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- Find the minimum cost of a rectangular box of volume 120 cm³ whose top and bottom cost 6 cents per cm² and whose sides cost 5 cents per cm². Round your answer to nearest whole number cents. Cost = cents.arrow_forwardFind a polynomial with integer coefficients that satisfies the given conditions. T(x) has degree 4, zeros i and 1 + i, and constant term 12.arrow_forwardFind the absolute extrema of the function f(x, y) = x² + y² - 3x-3y+3 on the domain defined by x² + y² <9. Round answers to 3 decimals or more. Absolute Maximum: Absolute Minimum:arrow_forward
- Find the maximum and minimum values of the function f(x, y) = e² subject to ï³ + y³ = 128 Please show your answers to at least 4 decimal places. Enter DNE if the value does not exist. Maximum value:arrow_forwardA chemical manufacturing plant can produce x units of chemical Z given p units of chemical P and 7 units of chemical R, where: z = 140p0.6,0.4 Chemical P costs $300 a unit and chemical R costs $1,500 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $187,500. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= unitsarrow_forwardA firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, and y produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = x² + xy +4y²+400 A) If the company's objective is to produce 1,900 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to whole units, i.e. no decimal places.) To minimize costs, the company should produce: units at Factory X and units at Factory Y B) For this combination of units, their minimal costs will be enter any commas in your answer.) Question Help: Video dollars. (Do notarrow_forward
- use Lagrange multipliers to solvearrow_forwardSuppose a Cobb-Douglas Production function is given by the following: P(L,K)=80L0.75 K-0.25 where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $400 and each unit of capital costs $1,600. Further suppose a total of $384,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint? Units of labor, L = Units of capital, K = B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production = unitsarrow_forwardSuppose a Cobb-Douglas Production function is given by the function: P(L, K) = 7L0.0 K0.4 Furthemore, the cost function for a facility is given by the function: C(L, K) = 100L +400K Suppose the monthly production goal of this facility is to produce 15,000 items. In this problem, we will assume L represents units of labor invested and K represents units of capital invested, and that you can invest in tenths of units for each of these. What allocation of labor and capital will minimize total production Costs? Units of Labor L = Units of Capital K = (Show your answer is exactly 1 decimal place) (Show your answer is exactly 1 decimal place) Also, what is the minimal cost to produce 15,000 units? (Use your rounded values for L and K from above to answer this question.) The minimal cost to produce 15,000 units is $ Hint: 1. Your constraint equation involves the Cobb Douglas Production function, not the Cost function. 2. When finding a relationship between L and K in your system of equations,…arrow_forward
- 1. Give a subset that satisfies all the following properties simultaneously: Subspace Convex set Affine set Balanced set Symmetric set Hyperspace Hyperplane 2. Give a subset that satisfies some of the conditions mentioned in (1) but not all, with examples. 3. Provide a mathematical example (not just an explanation) of the union of two balanced sets that is not balanced. 4. What is the precise mathematical condition for the union of two hyperspaces to also be a hyperspace? Provide a proof. edited 9:11arrow_forwardFind the absolute maximum and minimum of f(x, y) = x + y within the domain x² + y² ≤ 4. Please show your answers to at least 4 decimal places. Enter DNE if the value does not exist. 1. Absolute minimum of f(x, y) isarrow_forwardSuppose that one factory inputs its goods from two different plants, A and B, with different costs, 3 and 7 each respective. And suppose the price function in the market is decided as p(x, y) = 100 - x - y where I and y are the demand functions and 0 < x,y. Then as x = y = the factory can attain the maximum profit,arrow_forward
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