The carrots will have been eaten by the rabbit by now.
<span> 1)The rainbow signifies a new beginning for Earth after a dark storm.</span>
The rich only want to get richer, and leave poor people in the dust, so they pay people off to keep them happy enough to shove the rest of us down.
An independent clause is a sentence or part of one that can stand alone.
So I have a feeling that the first one is correct as "My sister and I love to cook" and "we spend hours cooking together" can both stand alone yet are joined by a semicolon.
I hope this has helped