Final answer:
Álvar Núñez Cabeza de Vaca walked a thousand miles over eight years to get back to New Spain after being shipwrecked. Juan de Oñate founded the province of New Mexico in 1598. The Northwest Passage was a theoretical sea route connecting the Atlantic and Pacific Oceans. The French had a cooperative relationship with Native Americans. Peter Minuit paid the Native Americans 60 guilders worth of goods for the land on which New Amsterdam was built.
Step-by-step explanation:
1. The Spanish explorer who, after being shipwrecked, walked a thousand miles and took eight years to get back to New Spain was Álvar Núñez Cabeza de Vaca.
2. The Spanish explorer who founded the province of New Mexico in 1598 was Juan de Oñate.
3. The Northwest Passage was a theoretical sea route that European explorers believed would connect the Atlantic and Pacific Oceans, providing a shortcut to Asia.
4. The relationship between the French and the Native Americans varied depending on the specific colonial era and location. However, overall, the French had a more cooperative and mutually beneficial relationship with Native Americans compared to other European powers. They often relied on Native American alliances for fur trade and military support.
5. The Dutch governor, Peter Minuit, reportedly paid the Native Americans the equivalent of 60 guilders worth of goods, which is estimated to be around $24 in today's currency, for the land on which New Amsterdam was built.