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### Problem Analysis:
- You are given a statement **r: "The speed of light is not constant."**
- The prompt states that this statement is **false**.
- You're asked to express the symbolic statement **~r**, which is the negation of **r**, and then to choose the correct verbal expression of this negated statement.

### Step-by-Step Process:
1. **Original Statement**:  
   \( r: \) "The speed of light is not constant."

2. **Negation of \( r \)** (symbolically written as \( \sim r \)):  
   The negation of "The speed of light is not constant" would be:  
   "The speed of light is constant."

3. **Choose the statement that expresses \( \sim r \)**:  
   Look at the options to find the one that states, "The speed of light is constant."
   - **Option D**: "The speed of light is constant."  
   So, **D** is the correct answer.

4. **Conclusion about the resulting verbal statement**:
   The original statement **r** was given as false. Since \( \sim r \) is the negation of **r**, \( \sim r \) must be true.
   - **Option B**: "The resulting verbal statement is true."  
   So, **B** is the correct answer here.

### Final Answers:
- The statement that expresses \( \sim r \) in words is **D**: "The speed of light is constant."
- The conclusion about the resulting verbal statement is **B**: "The resulting verbal statement is true."

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Do you want further details or explanations on any part? 

Here are five related questions to deepen your understanding:
1. What is the general rule for negating a statement in logic?
2. How do truth values change when negating a false statement?
3. What are other examples of scientific constants?
4. What role does the speed of light play in physics?
5. How can symbolic logic help in reasoning beyond simple propositions?

**Tip**: When negating a statement, remember to carefully reverse the entire meaning to ensure accuracy in logical conclusions!

The following statement is false. r: The speed of light is not constant. Use the representation of r to express the symbolic statement ~r in words. What can you conclude about the resulting verbal statement?

Understand how to negate a false statement in symbolic logic with an example about the speed of light. This problem explores propositional logic and the process of determining the truth value of negated statements. Suitable for Grades 9-12.

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