Diners at a certain restaurant can choose either a soup or salad from 4 choices, an entree from 5 offerings, two side dishes from 5 options, and, finally, one of 4 dessert cakes. to the nearest whole number, how many months could a person eat at this restaurant without having to order the same meal twice? (assume 30 days per month.)
a) 20b) 27c) 63d) 160e) 800

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a> 1

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?