plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

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A box is formed by cutting squares from the four corners of a 11"-wide by 15"-long sheet of paper and folding up the sides. ' Let x represent the length of the side of the square cutout (in inches). 21. Write an expression in terms of m that represents the width of the base of the box (in inches). :| Preview b. Write an expression in terms of m that represents the length of the base of the box (in inches). : Preview c. Write an expression in terms of m that represents the height of the box (in inches). :| Preview d. Write a formula that expresses the volume of the box in cubic inches, V, in terms of the cutout length in inches, 3:. v = : Preview Submit A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. (13,3661) a. The point (0.5, 24) is on the graph. This means that when the volume of the box is |:] cubic inches, the cutout length is C] inches. b. When the cutout length is 2.5 inches, the volume of the box is 20 cubic inches. This means that the point |:| is on the graph above. c. Suppose the largest possible cutout length is 3.5 inches. Over what interval of w does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Given that n) : 2811 denes a function f that determines the driving distance on the road (in miles) that corresponds with the map distance (in inches), answer the following. a. Use function notation to represent the driving distance on the road that corresponds with a distance of 7.5 inches on the map. :| Preview b. Use function notation to represent how many more miles one would drive on the road when taking the route displayed on the map measuring 8.9 inches as compared to taking the route displayed on the map measuring 8.4 inches. :| Preview c. Use function notation to represent 3 times as many miles on the road as the distance on the road that corresponds with 3 inches on the map. : Preview (1. Use function notation to represent that the distance on the road (in miles) that corresponds with 5 inches on the map is 140. A tank with some water in it begins to drain. The function v(t) : 5D 3.5: determines the volume of the water in the tank (in gallons) given a number of minutes t since the water began draining. a. What is the vertical intercept of v? |:| Preview b. What does your answer to part (a) represent? Select all that apply. [7 The number of gallons of water in the tank when it starts draining. Cl How many minutes it takes for all of the water to drain from the tank. C] The weight of the tank when it is empty. c. List all horizontal intercepts (or "roots") of v. : Preview (1. What does your answer to part (0) represent? Select all that apply. Cl How many minutes it takes for all of the water to drain from the tank. Cl The number of gallons of water in the tank when it starts draining. [7 The weight of the tank when it is empty. Submit For the questions below, enter your answers using interval notation. You can use "U" to represent a "union", e.g. enter "(1,2) U (3,5)" for (1, 2) U (3, 5}. You can enter "00" for 00, e.g. enter "(-oo, 00)" for ( 00, 00). 21. Suppose f(x) = 23:2 + 4. i. What is the domain of f? |:] Preview ii. What is the range of f? |:] Preview Va: 7 3 b. Suppose g(a7} = :e8 i. What is the domain of g? :1 Preview ii. What is the range of g? |:] Preview Submit The distance in feet, t}, of a car north of an intersection t second since the car started to move can be determined by the function f(t) = t2 7 2t. a. Use function notation to represent the average speed of the car on the interval from t : 2 to t 2 6. :1 Preview b. Determine the average speed of the car on the interval from 2 seconds since the car started to move to 6 seconds since the car started to move. |:] Select an answer v Preview c. The average speed you determined in part (b) represents which of the following? Select all that apply. [7 The speed the car drove most of the time. [7 The constant speed needed to travel 24 feet in 4 seconds C] The slope of the line connecting the points on the graph of f, at the beginning and ending of the 4-second interval from t : 2 to t : 6. Submit Let 5(21) represents a faculty member's yearly salary as years after beginning a position at a university. 3.. Use function notation to represent the salary of a faculty member after :1: + 5 years on the job. : Preview b. Use function notation to represent $2200 more than a faculty member's salary after 7 years on the job. : Preview c. Use function notation to represent the salary of a faculty member after 3 years more than n years on the job. Z Preview (1. Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 6 years on the job. Z Preview e. How many times as large is the salary of a faculty member who has been on the job for 12 years as compared to someone who has been on the job for 3.3 years? A tortoise and hare are competing in a race. The function f and g are such that f (t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g(t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. Match each of the following mathematical procedures with the appropriate goal. Determine how far the tortoise is from the finish line (in meters) when the race starts. Determine how far the hare is from the finish line (in meters) when the race starts. Determine how many seconds it takes for the tortoise to finish the race. V ermine how many seconds it takes for the hare to finish the race. Evaluate f(0) Solve f(t) = 0 for t Sub Solve g(t) = 0 for t Quest Evaluate g(0) License This is auempt 1 01 0