The function f(x) = 15(2)x represents the growth of a frog population every year in a remote swamp. elizabeth wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. which function is correct for elizabeth's purposes?

f(x) = 15(2 to the one half power)2x

f(x) = 15(2^2)^(x/2)

f(x) = fifteen halves(2)x

f(x) = 30(2)^x

Atriangle has a side lengths of 18cm, 80 cm and 81cm. classify it as acute obtuse or right?

Which of the following exponential functions goes through the points (1, 6) and (2, 12)? f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x

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?