Suppose a designer has a palette of 6 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.

The cost of using a service is $0.25 per min. what equation correctly represents the total cost c, in dollars, for d days of use?

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?

Ijump serves waffles, pancakes or french toast for breakfast. in addition, there are 14 syrups from which to choose. the meal comes with the choice of chocolate chips, strawberries or no topping. how many different breakfasts are possible at ijump?