The stadium vending machine finds that sales of hot dogs average 50,000 hot dogs per game when the hot dogs sell for $2.50 each. for each 50 cent increase in the price, the sales per game drop by 5000 hot dogs. what price per hot dog should the vending company charge to realize the maximum revenue. round to the nearest cent.

a. $2.50
b. $4.00
c. $3.75
d. $5.00

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv