Joe’s Auto Seat Cover and Paint Shop is bidding on a contract to do all the custom work for Smiling Ed’s used car dealership. One of the main requirements in obtaining this contract is rapid delivery time, because Ed for some reasons wants the cars face lifted and back to his lot in a hurry. Ed has said that if Joe can refit and repaint five cars that Ed has just received in 24 hours or less, the contract will be his. Following the time (in hours) required in the refitting shop and the paint shop for each of the five cars. Assuming the cars go through the refitting operations before they are repainted, can Joe meet the time requirement to get the contract?

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth