Will make ! factor using the identity: a3 + b3 = (a + b)(a2 – ab + b2) 8z3 + 27 a.(2z + 3)(z2 – 6z + 9) b.(2z + 3)3 c.(8z3 + 27)(8z2 – 16z3 + 729) d.(2z + 3)(4z2 – 6z + 9)

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?

Mrs. blake's bill at a restaurant is $42.75. she wants to leave the waiter an 18% tip. how much will she pay in all, including the tip?

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?