An archaeologist is categorizing the artifacts he has discovered. two-thirds of the artifacts are shards of pottery. one-eighth of the artifacts are tools. the remaining artifacts are personal items, such as buttons, jewelry, and fragments of clothing. the archaeologist has discovered a total of 72 artifacts. how many of these are personal items?

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.