How long does it usually take for the state of Ga to cash your check? I mailed my taxes on 4/12 with the check and it still isn't cashed. I spent 2 hours on hold?

Oh boy ... I hope you mailed it to the correct address AND used some kind of tracking on the envelope so you know it arrived because the feds & state seem to cash the check before it even leaves your hand. 

All you can do is call the state and ask.   Or you could stop payment on that check and  resend one or pay online directly.