Mike wants to fence in part of his backyard. he wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. he has 200 feet of fencing. the inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200. which are possible dimensions for mike’s backyard? check all that apply.

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.

If each bricks costs and he can only buy one brick how much will it cost him to get the material to put around the outside of his garden?