Should there be feedback that the search results shown are different from the query in the bar?

Should the user be notified that the results shown are from a different query currently in the search bar?

For example, the image above shows results for "stack exchange" and (after turning off instant results) changed the search bar to "stack overflow." I haven't yet searched for "stack overflow", but it's in my bar. Should the user be notified that the results below are for "stack exchange", not what's currently in the bar?

If so, what's the best way to do this?