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Verified Answer :

bcalle

The correct answer is D.
4 (1/2)^3
4
(1/8)
4/8 = 1/2

Answer: \(\frac{1}{2}\)

Step-by-step explanation:

The given function : \(f(t)=4\times(\frac{1}{2})^{3t}\)

To find f(1) means to find the value of \(\text{f(t)}\)  when t=1, we need to substitute the value of t in the given function, then we get

\(f(1)=4\times(\frac{1}{2})^{3\times1}\\\\\Rightarrowf(1)=4\times(\frac{1}{8})\\\\\Rightarrowf(1)=\frac{1}{2}\)

Hence, the value of \(\text{f(t)}=\frac{1}{2}\)