Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour x is given by x(t) = -4t^2+20t+92, where t is the number of hours since 10 AM, 0<=t<=4. a. If the price were raised to $3 per hot dog with no change in the x(t) equation, which hour would produce the most revenue? Why?
b. If the price were dropped to $1 per hot dog, but that price drop caused the number of sales to increase according to the function x(t) = -9t^2+22t+138, would the vendor make more money at the original $2 price, or at the $1 price?

If a • b*2 = 1.8 x 10*-7, and c•b/d = 7.2 x 10*-4, find the value of a•d*2/c*2

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Use set buikder notation to represent the following set: {, -2, -1, 0}