Solve the third-order initial value problem below using the method of laplace transforms. y′′′+3y′′−15y′−125y=600e^−5t, y(0)=0,y′(0)=42,y′′(0)=-36

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

Askate shop rents roller skates as shown on the table below. which graph and function models this situation?

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4