You have a bacterial broth culture that contains 1 x 10^12 cells/ml. From this stock culture, you take 10 µl and add it to 990 µl of sterile broth. You label this tube 1. From tube 1, you take 100 µl of culture and add it to 900 µl of sterile broth. This is tube 2. From tube 2, you take 10 µl of culture and add it to 990 µl of sterile broth. This is tube 3. What is the concentration of cells in each of the three dilutions? Show your work. (Please note that cells/ml is a concentration ratio just like grams/ml, moles/L, etc. Cell concentration is termed cell density.)