The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value proble,

dN/dt=N(1-0.0005N), N(0)=1
(a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. dN/dt = N(1 − 0.0005N), N(0) = 1.
(b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). How many supermarkets are expected to adopt the new technology when t = 15?

What is an equivalent fraction for 5/6

30 points! i am confused. what does it mean by game time? you can use a table of random numbers or a random number generator to create random samples. also, you can obtain random samples directly using wolframalpha.com. for example, typing in randomsample[{1,2,3,4,5},2] will give you a sample of size 2 from the list {1,2,3,4,5}. a sample result is {1,5}. refreshing the page will generate a new random sample of size 2. 2. create five random samples of size two from the population. record the game times for the samples and calculate the mean game time of each sample. 3. create 5 random samples of size 11 from the population. record the game times for the samples and calculate the mean game time of each sample.

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?