Alice enjoys visiting Karen at her house. To be able to get to Karen's house from her house, she needs to travel uphill and then traverse across ground level. Alice takes 10 hours to perform the round trip. She moves at 4km per hour on level ground, 12km per hour downhill and 2.4 or 12/5km per hour uphill. How far is Alice's house from Karen's house?

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.