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Mathematics Quiz

Test your knowledge with the following questions. Each question is open-ended, so provide a thorough and complete answer.

  1. What is the Pythagorean Theorem, and how is it used in mathematics?

  2. Calculate the area of a triangle with a base of 10 units and a height of 5 units. What formula did you use?

  3. Explain the concept of a limit in calculus. How do limits relate to the notion of continuity?

  4. What are the laws of exponents, and how do they apply to simplifying expressions with exponents? Give an example.

  5. Define a prime number. List four prime numbers and explain why each is classified as prime.

Be sure to provide detailed responses that demonstrate your understanding of the concepts involved. Good luck!