The powers of the federal government under the Constitution are primarily defined by several key articles and amendments. Here’s a breakdown of the powers you mentioned:
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Coin Money: This is a power exclusive to the federal government. The Constitution grants Congress the authority to coin money and regulate its value (Article I, Section 8).
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Make Treaties with Foreign Nations: The federal government has the power to make treaties with foreign nations, which is also vested in Congress (specifically the Senate, with the advice and consent of the President) (Article II, Section 2).
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Maintain Army and Navy: The federal government is empowered to raise and support armies and maintain a navy (Article I, Section 8).
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Raise Taxes: The federal government has the power to levy taxes, borrowing money, and regulating commerce (Article I, Section 8).
The other two items you mentioned—establish public schools and regulate businesses in a state—are generally considered powers reserved for the states rather than the federal government. Education is primarily managed at the state and local levels, and states typically have the authority to regulate businesses within their borders.
In summary, from your list, the federal powers include coin money, make treaties, maintain an army and navy, and raise taxes. The establishment of public schools and regulation of businesses within a state are typically state powers.