Monique is punting a football and the height the ball travels is a function of time. The function h(s)=−s^2+10s+3

To find the height of the ball after 7.5 seconds using the function \( h(s) = -s^2 + 10s + 3 \), we need to substitute \( s = 7.5 \) into the function:

\[ h(7.5) = - (7.5)^2 + 10(7.5) + 3 \]

Calculating \( (7.5)^2 \):

\[ (7.5)^2 = 56.25 \]

Now substituting back:

\[ h(7.5) = -56.25 + 10 \times 7.5 + 3 \]

Calculating \( 10 \times 7.5 \):

\[ 10 \times 7.5 = 75 \]

Now substituting that value in:

\[ h(7.5) = -56.25 + 75 + 3 \]

Adding the terms together:

\[ h(7.5) = -56.25 + 75 = 18.75 \] \[ h(7.5) = 18.75 + 3 = 21.75 \]

Thus, the height of the ball after 7.5 seconds is:

\[ \boxed{21.75} \]