DJ Lorraine is making a playlist for a friend; she is trying to decide what 10 songs to play and in what order they should be played. If she has her choices narrowed down to 7 blues, 6 disco, 7 pop, and 8 jazz songs, and she wants to play no more than 2 pop songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Jamie went to home depot.she bought 25 bags of soil that cost $9 per bag.she bought 15 pots at $8 each,and she bought 23 bags of pebbles at $15 each.she used a coupon that gave her $5 off for every 100 dollars she spent.how much did jame pay at the end?

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.