A highway engineer develops a formula to estimate the number of cars that can safely travel a particular highway at a given speed. She finds that the number N of cars that can pass a given point per minute is modeled by the function N(x) = 88x/ 17 + 17(x/20)^2. Required:
Graph the function in the viewing rectangle [0, 100] by [0, 60]. If the number of cars that pass by the given point is greater than 40, at what range of speeds can the cars travel?

Cot(90° − x) = 1 the value of x that satisfies this equation is °. a. 60 b. 135 c. 225 d. 315

Which of the following is the shape of a cross section of the figure shown below

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?