I Happiness vs. The Cheeseburger Your friend can eat a lot. Cheeseburgers are his favorite, so he gets happier as he eats more of them... until he reaches a point when he eats too many then his happiness starts declining into misery. If you measured his happiness, h(x), based on how many cheeseburgers he eats, x, you'd get an equation modeled like this: h(x)= -x2 + 6x + 16 a) Which of the following graphs most accurately represents your friend's relationship between cheeseburgers and happiness. Explain why you chose this graph. ​

(! ) three cylinders have a height of 8 cm. cylinder 1 has a radius of 1 cm. cylinder 2 has a radius of 2 cm. cylinder 3 has a radius of 3 cm. find the volume of each cylinder

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

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.