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

Step-by-step explanation

Given

`F(t)=2\cdot(1)/(2^(3t))`

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

`F(1)=2\cdot(1)/(2^(3(1)))`

By multiplying the expression in the exponent we get:

`F(1)=2\cdot(1)/(2^3)`

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

`F(1)=(2)/(2\cdot2\cdot2)`

Simplifying;

`F(1)=(1)/(2\cdot2)`
`F(1)=(1)/(4)`