Question

An activity with a learning rate of 0.85 takes 25 hours for the first iteration. How long will it take to complete this task for the 15th time? 13.15 hours 13.25 hours 12.85 hours 12.55 hours

Answer 1

Answer:

13.5 hours

Step-by-step explanation:

We are given that

Learning rate=0.85

Time,t=25 hours

We have to find the time it will take to complete this task for the 15th time.

$b=\frac{log 0.85}{log 2}=-0.23$

$y=ax^b$

a=25

$y=25x^{-0.23}$

$y_{15}=\int_{0}^{15}25x^{-0.23}dx-\int_{0}^{14}25x^{-0.23} dx$

$y_{15}=\int_{14}^{15}25x^{-0.23} dx$

$y_{15}=25\times [\frac{x^{0.77}}{0.77}]^{15}_{14}$

$y_{15}=\frac{25}{0.77}((15)^{0.77}-(14)^{0.77})$

$y_{15}=13.5$

It will take 13.5 hours to complete this task for the 15th time.