Given that events A and B are independent with P(A)=0.34P(A)=0.34 and P(A\text{ and }B)=0.034P(A and B)=0.034, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.

How do you write a paragraph proof to prove that the corresponding angles shown are congruent

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?

How do newtons third law of motion demonstrates on a rollar coster