# Tutor profile: Madison W.

## Questions

### Subject: Writing

Correctly finish the sentence below: "Sentences can be broken down into ______." 1. periods 2. predicates 3. objects 4. clauses

Answer: 4. clauses

### Subject: Pre-Algebra

Select the answer that correctly demonstrates the product exponent rule: 1. a^m ∙ a^n = a^(m + n) 2. a^m ∙ a^n = a^(m ∙ n) 3. a^m ∙ a^n = a^(m - n)

The correct answer is 1. a^m ∙ a^n = a^(m + n) To multiply two exponents with the same base, keep the base and add the powers.

### Subject: Chemistry

Given a phase diagram in the temperature-pressure space, what do the phase boundary lines between solid, liquid, and gas represent? What is the point of intersection of the boundary lines called, and what does it represent?

The phase boundary lines represent an equilibrium between the phases. On these boundary lines there is only one degree of freedom, meaning only one of the two variable, temperature or pressure, may be varied while maintaining equilibrium. The point of intersection between the boundary lines is called the triple point. This is the point at which all three phases--solid, liquid, and gas-- are present. There are zero degrees of freedom at the triple point, as temperature and pressure must be maintained to remain at this point.

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