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To find h(7.5), you will substitute 7.5 for s in the equation h(s) = - s^2 + 10s + 3.
h(7.5) = - (7.5)^2 + 10(7.5) + 3
h(7.5) = - 56.25 + 75 + 3
h(7.5) = 21.75
So, the height of the ball after flying through the air for 7.5 seconds is 21.75.