Answer:
Step-by-step explanation:
32a²b² = 2 * 2*2*2*2 * a² * b²
36a²c² = 2 * 2 * 3 * 3 * a² * c²
16ab³ = 2 * 2 * 2* 2 * a * b³
Greatest common factor = 2*2*a = 4a
32a²b² + 36a²c² - 16ab³ = 4a*(8ab² + 9ac² - 4b³)
Answer:
The answer is -6x - 6. It cannot be simplified more.
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.
Ok so lets start with the 5 dozen there are 12 eggs in one dozen so we do 12*5 which gives us 60 and then we figure out what 3/4 of 12 is that sounds confusing the way i typed it. an example is make four piles each evenly numbered so four piles of three so take three of those piles which gives you the number nine so 60 + 9 gives you 69 so Jesse has 69 eggs.
