"regulations or new conditions for receiving grants that impose costs on state and local governments for which they are not reimbursed by the national government is the definition of"

It is unfunded mandates.

More broadly, unfunded mandates are Government's orders or mandates that requires state and local government to perform activities for which it has no funds, and the government does not reimburse them.

With an unfunded mandate, the government put regulations or new conditions that diminish the state's ability to pay for an existing mandate, for example, it may cut funds designated for a specific program or it may change the requirements for receiving funds.

For example, when the government increases the minimum wage of a nation, it's creating an unfunded mandate, as the companies now have to abide by the law by paying higher salaries without any governmental help or funding. This also happens when the government order public transit agencies to upgrade security measures, training programs, and background checks, without any financial help.

it should be c, women were allowed to vote in all states because federal law supersedes state law.

"states can make their own laws, as long as they don't contradict what the federal law states. the states do not have the authority to pass a law that negates a federal law." -google