Ruth has the following set of refrigerator magnets: {a, b, c, d, e}. (a) how many different three-letter strings can she form with these magnets? (b) how many different three-letter strings can she form if the middle letter must be a vowel?

a. 60

b.24

Step-by-step explanation:

a. We use permutation, it would be 3 taken out of 5, or 5*4*3

b.if A or E must be used, then we have 4*3*2

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

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: