I dont understand your question fully but i hope this helps. Two states that dont connect to any existing state would be alaska, and hawaii.
The intent for the separation of powers is to prevent the concentration of power and provide for checks and balances.
The answer is "Mexico City"
No, it is false that independence from railroads and banks is one way that farming in the United States changed in the late 1800s, since in fact farming became more attached to these industries during this time.