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ANSWER
[tex]h(5) = - 44[/tex]
EXPLANATION
The given expression is :
h(t)=-10t+6
We want to find the value of t that will evaluate to -44.
We equate the function to -44 and solve for t.
[tex]-10t+6 = - 44[/tex]
Subtract 6 from both sides of the equation,
[tex]-10t = - 44 - 6[/tex]
[tex]-10t = - 50[/tex]
Divide both sides by -10
[tex]t = 5[/tex]