This is perturbations.

an mp3 player has a playlist with 12 songs. you select the shuttle option, which plays each song in a random order with out repetition, for the playlist. in how many different orders can the songs be played?

answer: 32.68

step-by-step explanation:

x=2

$18 was the price of the t-shirt

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: