LAPD officers are usually deputized in the county so if needed they can respond to situations when county officers are busy, but LAPD does not have authority over LA County Sheriffs Dept.
Stop and inspect vehicles for safety violations
Officers of the New Mexico State Parks, state police, and county sheriffs have the authority to stop and inspect vessels for safety violations.
Stop and inspect vessels for safety violations
County Sheriffs do not have the authority to call out the Guard. That's done by the governor of the state or the president of the US.
The principal governing authority of Georgia counties is a county commission. They are elected by the registered voters of the county.
In New York State, police officers, county sheriffs, bay constables, and officers of the New York State Parks Police have the authority to enforce laws, maintain public order, and conduct investigations within their jurisdictions. They can also make arrests, issue citations, and respond to emergencies. Additionally, officers of the State Parks Police specifically focus on enforcing regulations related to state parks and recreational areas. Their authority is defined by state law and varies based on the specific responsibilities of their respective roles.
As of 2021, there have been a total of eight sheriffs in Clayton County, Georgia.
They have no authority to do so.
You can find a list of Florida sheriffs at the URL associated with this answer.
An officer's "commission" is the authority granted to them by the jurisdiction in which they are authorized to act as a law enforcement officer (e.g.: town, city, county, state, federal). All officers carry agency issued identification cards which both identifies them and gives them the authority to act.
There is only one Sheriff per county.