A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.
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Write a system of linear equations in three variables, and then use matrices to solve the system.Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 131 g protein, 107 g fat, and 165 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?
A. 6 mushrooms; 2 meatballs; 7 eggs B. 8 mushrooms; 7 meatballs; 3 eggs C. 2 mushrooms; 7 meatballs; 6 eggs D. 7 mushrooms; 6 meatballs; 2 eggs
Solve the problem.A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system?
A. y = 
, 307°F
B. y = 
, 315°F
C. y = 
, 315°F
D. y = 
, 312°F
Solve the problem. Where appropriate, round to the nearest tenth of a percent.The graph below shows how the average value of an automobile, which costs 
new, changes as it ages. Find the percent decrease in value as the car ages from 2 years old to 3 years old. Round to the nearest percent.
A. 12% B. 11% C. 0.1100% D. 0.1200%
Provide an appropriate response.The computer networking division must assign unique inventory numbers to each computer on campus. How many computers can they label using a 4-digit number without repeating a digit?
Fill in the blank(s) with the appropriate word(s).