Question

Question 7 of 10Use the function below to find F(1).F(t)=2..23tO A. 3-Im1O B. 2O C.O D.SUBMIT

Answer 1

Answer: C. 1/4

Explanation

Given

$F(t)=2\cdot\frac{1}{2^{3t}}$

As we are asked to find F(1), then we have to substitute 1 over t:

$F(1)=2\cdot\frac{1}{2^{3(1)}}$

By multiplying the expression in the exponent we get:

$F(1)=2\cdot\frac{1}{2^3}$

We can rewrite this expression as follows as we have 2 elevated to the third power:

$F(1)=\frac{2}{2\cdot2\cdot2}$

Simplifying;

$F(1)=\frac{1}{2\cdot2}$$F(1)=\frac{1}{4}$