The problem asks you to evaluate $h(5t^2)$ given that $h(t) = 11 - 7t$.

Let's solve it step by step:

1. The function $h(t)$ is given as: $h(t) = 11 - 7t$

2. Now, instead of $t$, we need to evaluate $h(5t^2)$. This means we substitute $5t^2$ for $t$ in the function: $h(5t^2) = 11 - 7(5t^2)$

3. Simplifying the expression: $h(5t^2) = 11 - 35t^2$

Thus, the answer is: $h(5t^2) = 11 - 35t^2$

Would you like further details or have any other questions?

Here are 5 related questions you might want to explore:

1. What is the general process for evaluating composite functions?
2. How would you approach evaluating $h(2t^3)$ for the same function?
3. Can you graph the function $h(t) = 11 - 7t$?
4. How does substitution work in more complex functions like trigonometric or exponential?
5. How can you verify the correctness of substituted functions?

Tip: Always double-check your substitution step, as mistakes there can lead to incorrect results in function evaluation!