Select the president who was in office during each event.

From the question we are told

The president who was in office during each event.

Generally

Supreme Court Organized

Under The Office of George Washington the Supreme Court Organized act was enacted,The act Cause for America to be divided into Three Circuits.

Louisiana Territory purchased

Thomas Jefferson Administration saw the Purchase of Louisiana from the France in 1803

Presidential Cabinet Established

George Washington Administration  saw the Establishment of the Presidential Cabinet

Embargo Act

Thomas Jefferson's Embargo Act was Enacted during the Napoleonic Wars in 1812.

Alien and Sedation Acts

John Adams Administration saw the  Alien and Sedation Acts that was Enacted by the 1798

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Supreme Court Organized: Washington

Louisiana purchased: Thomas Jefferson

Presidential Cabinet: Washington\

Embargo Act: Jefferson

Alien and Sedation Acts: John Adams

Explanation:

a system in which products were made rapidly by machines