Y=1/2x^3 A patch in the shape of the region shown above is to be sewn onto a flag. If each unit in the coordinate system represents one foot, how much material is required for the patch?

a.

15.525 ft²

c.

10.525 ft²

b.

15.125 ft²

d.

10.125 ft²

When can u say there is no solution for a system of linear inequalities? explain your answer and show with a system and graph

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

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.