A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit flies. Suppose we can model the population of fruit flies in the warehouse as a function of the number of days since the boxes were delivered by the equation below.
P() - 1600 - 1600(0.9)
According to this model, how many days does it take for the population to reach 320 fruit flies? Give an exact answer.
In
In (0.9)
X

Which region represents the solution to the given system of inequalities? |-0.5x+y23 | 1.5x+ys-1 5 4 -3 -2 -1 1 2 3 4

Find the amplitude of a sinusoidal function that models this temperature variation

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?