Question

Question #0bf56

Answer 1

See explanation below.

Explanation:

You need to get `Q_2` by itself.
First, write 280,000 in scientific notation:

`2.8*10^5=1.12*10^8*(1*10^-4*Q_2)/(0.01^2)`

Rewrite `0.0001` as `1*10^-4` then cancel out the like terms:

`2.8*10^5=1.12*10^8*(1*10^-4*Q_2)/(1*10^-4)`

`2.8*10^5=1.12*10^8*Q_2`

Divide both sides by `1.12*10^8`

`(2.8*10^5)/(1.12*10^8)=Q_2`

Break up the left hand side and apply this index law:

`(a*10^x)/(b*10^y)=(a/b)*10^(x-y)`

`Q_2=(2.8/1.12)*(10^5/10^8)=(2.5)*10^(5-8)`

`Q_2=2.5*10^-3`