The exponential function f(x)=2^x undergoes two transformations to g(x)= 5 x 2^x -3. How does the graph change? Select all that apply.
a. it's shifted down
b. it is vertically compressed.
c. it is vertically stretched.
d. it is flipped over the x-axis.
e. it is shifted right.

You have 12 balloons to blow up for your birthday party. you blow up 1/3, and your friend blows up 5 of them. what fraction of the baloons still need blowing up

What is the radius of the cone in the diagram? round your answer to the nearest whole number

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?