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Answer:

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

-16t2+64t+3

The height of the baseball after 3.5 seconds is ___ feet.

Step-by-step explanation:

Consider the provided expression.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

[tex]h=-16t^2+64t+3[/tex]

To find the height of the baseball  after 3.5 seconds, substitute the value of t = 3.5 in above expression

[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]

Hence, the height of the baseball after 3.5 seconds is 31 feet.

Answer:

31feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.

Given the height of the baseball modeled by the equation

h(t)  = -16t²+64t+3

To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;

[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]

The height of the baseball after 3.5 seconds is 31feet.