Chelsea and Micaela each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Chelsea spent $120 on 12 ft of grass sod and 8 pots of ivy.
Micaela spent $48 on 6 ft of grass sod and 3 pots of ivy. What is the cost of one ft of grass sod
and the cost of one pot of ivy?

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.

Factor the polynomial expression x6 – x3 – 20

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.