The answer would be 
In 1.23, we know that 1 is a whole number and .23 is part of a whole, so it is a fraction.
.23 can be written as
because the decimal is till the hundredths place.
We cannot simplify
any further so we leave it as is.
The answer would then be
.
Answer:
See Below.
Step-by-step explanation:
We are given that:

Where <em>I₀</em> and <em>k</em> are constants.
And we want to prove that:

From the original equation, take the derivative of both sides with respect to <em>t</em>. Hence:
![\displaystyle \frac{d}{dt}\left[I\right] = \frac{d}{dt}\left[I_0e^{-kt}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5BI%5Cright%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5BI_0e%5E%7B-kt%7D%5Cright%5D)
Differentiate. Since <em>I₀ </em>is a constant:
![\displaystyle \frac{dI}{dt} = I_0\left(\frac{d}{dt}\left[ e^{-kt}\right]\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdI%7D%7Bdt%7D%20%3D%20I_0%5Cleft%28%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B%20e%5E%7B-kt%7D%5Cright%5D%5Cright%29)
Using the chain rule:

We have:

Substitute:

Distribute and simplify:

Hence proven.
Answer:
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction. It has to have decimals that don't repeat or end. So your answer is no
The equivalent fractions are 2/16 8/64