During normal breathing, about 11% of the air in the lungs is replaced with each breath. Write an exponential decay model for the amount of original air left in the lungs if the initial amount of air in the lungs is 550 milliliters. How much of the original air is present after 30 breaths?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula

Michael is training for a marathon. in his first week he plans to run 8miles. what path should he take