Use synthetic division to find the result when 3x4 18x3 + 17x2 + 30x is divided by r - 4. If there is a remainder, express the result in the form q(x) + b(x)

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?

Aletter in the word electric is chosen at random. complete each sentence. there are possible outcomes. the theoretical probability that a vowel will not be chosen is the ratio . the theoretical probability that the letter n will be chosen is .

You roll a fair 66-sided die. what is \text{p(roll less than 4})p(roll less than 4)? if necessary, round your answer to 22 decimal places.