Drag each tile to the correct box. Consider this function.

f(x) = 5^x

How is function f transformed to create function g? Match each transformation of function f with its description.

1st Tile: g(x) = 3(5)^x

2nd Tile: g(x) = 5^3x

3rd Tile: g(x) = 1/3(5)^x

4th Tile: g(x) = 5^1/3x

Horizontal stretch of a factor of 3 → [Box]

Vertical stretch of a factor of 3 → [Box]

Vertical compression of a factor of 1/3 → [Box]

Horizontal compression of a factor of 1/3 → [Box]

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.