DJ Jacqueline is making a playlist for an mp3 player; she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 9 reggae, 9 jazz, and 16 blues songs, and she wants to play an equal number of reggae, jazz, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.

Let f (x) = x e8x. find a formula for the nth derivative of f, where n is any positive integer. use x and n in your answer if needed. f (n)(x) =

Ascientist has 50 grams of a radioactive element. the amount of radioactive element remaining after t days can be determined using the equation (1) after two days the scientist receives a second shipment of 50 grams of the same element. the equation used to represent the amount of shipment 2 remaining after t days is 10) - 50 which of the following is an equivalent form of the expression for the amount remaining in shipment 2? what’s the answer?

Write a description of each inequality. 1. -5a + 3 > 1 2. 27 - 2b < -6 (this < has a _ under it) 3. 1/2 (c + 1) > 5 (this > has a _ under it)