Damaris owns a small business and is hiring a staff of employees. Each full-time employee will be paid a yearly salary of $32,000. Each part-time employee will be paid a yearly salary
of $15,000. Damaris has $245,000 allocated for employees' yearly salaries. If Damaris hires
5 part-time employees how many full-time employees can she afford to hire?

4+6x-3x^3 in standard form with explanations because i don’t understand

Adrawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. what is the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same colour?

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?