Of course not, that's not how it works. The city contracts with a trash collector and they set a weekly schedule for each neighborhood.
> Who else is going to fix the roads?
Is this a trick question? The county of course. They own the roads.
HOAs have no purpose.
Is this a trick answer, or just deeply ignorant. Within 20 miles of me there are different places where a county, a city, a neighborhood and the state own the roads.
Seriously, WTF do you live where there's one answer to this question? Apparently so far out in the boonies you don't even have an interstate.
Dumb AF? Yes, no argument. Reality? Sad but true.
Neighborhood streets - it's mixed, largely on age of development. Pre-1980 (very roughly) that state/county likely own and maintain the roads. Post-1980 (roughly) it's an HOA or condo or similar.
Similar for trash.