Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of money on the gift card was $30 and after buying 6 cups of coffee, the card had a $12 remaining balance. Write an equation for A, A, in terms of x, x, representing the amount money remaining on the card after buying xx cups of coffee.

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

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?

Which statement is true about the local minimum of the graphed function? over the interval[-4,-2], the local minimum is 0. over the interval [-2,-1] , the local minimum is 25. over the interval [-1,4], the local minimum is 0. over the interval [4,7], the local minimum is -7