DJ Jacqueline is making a playlist for a website; she is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If she has her choices narrowed down to 6 blues, 3 pop, 6 rock, and 6 jazz songs, and she wants to play no more than 2 rock songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.

pretty sure 750 each month!

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places