A species of frog on an island initially had a population of 425 when scientists first began studying it. Since then, the population has increased 6.5% each year. Model this situation where f(x) is the number of years since the scientists began studying the population?

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.