(02.02 MC) Rectangle is shown with vertices at negative 5 comma 1, negative 5 comma 3, negative 1 comma 3, and negative 1 comma 1.

What series of transformations would carry the rectangle onto itself?

(x + 0, y − 4), 180° rotation, reflection over the y-axis
(x + 0, y − 4), 180° rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

Simplify. 3(4+4x) (type your answer in with no spaces)

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?