https://file.aiquickdraw.com/mathbot/file/172683945776878app9ly.jpg

It looks like you're being asked to evaluate \( h(5t^2) \), where the function \( h(t) \) is given as \( h(t) = 11 - 7t \).

To evaluate \( h(5t^2) \), you can follow these steps:

1. Start with the given function:
   \[
   h(t) = 11 - 7t
   \]

2. Now substitute \( 5t^2 \) for \( t \) in \( h(t) \):
   \[
   h(5t^2) = 11 - 7(5t^2)
   \]

3. Simplify the expression:
   \[
   h(5t^2) = 11 - 35t^2
   \]

This matches the expression you provided in the image, which seems correct mathematically.

However, since the system marked the answer as incorrect, it is possible that:

- The format of the answer might require additional clarification (like using parentheses or a different notation).
- There could be a rounding issue, or a specific expected output format.

Let me know if you want further clarifications or if you'd like me to help check any specific formatting requirements!

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Here are five questions related to this problem:
1. What is the role of substitution in function evaluation?
2. How does squaring affect the variable in the function?
3. Why does substituting \( 5t^2 \) in \( h(t) \) give a quadratic expression?
4. Can functions be evaluated for complex numbers in the same way?
5. How does the coefficient \( -35 \) influence the parabola formed by \( h(5t^2) \)?

**Tip**: Always double-check the required format for your answer in online systems, as formatting differences (like parentheses or exact symbolic forms) can sometimes cause the system to mark correct answers as incorrect.

Learn how to evaluate the function h(5t^2) by substituting t with 5t^2 in the function h(t) = 11 - 7t. This problem involves algebraic substitution and function evaluation, suitable for students in Grades 9-10.

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