Final answer:
Samuel Slater was the man who snuck the plans for a spinning machine out of England to Rhode Island by memorizing the plans and later built the first successful water-powered cotton mill in the United States.
Step-by-step explanation:
Samuel Slater is the man who snuck the plans for a spinning machine out of England to Rhode Island by memorizing the plans. Slater, a British immigrant, had worked in a cotton factory owned by Richard Arkwright and had memorized the technical details of the machinery. He immigrated to the United States in 1789 and with the support of merchant Moses Brown, built the first successful water-powered cotton mill in Pawtucket, Rhode Island.