Rate of change=(change in cookies)/(change in time)
We are told that change in cookies is 12 and change in time is 1, so the rate of change is 12/1=12 cookies/hour or
12 cookies per hour.
ANSWER
99.83 grams
EXPLANATION
The function that describes the amount of sample (in grams) after t years of decomposition is:
![C(t)=100\cdot(\frac{1}{2})^{\frac{t}{5730}}](https://tex.z-dn.net/?f=C%28t%29%3D100%5Ccdot%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B5730%7D%7D)
To get the amount of carbon 14 after 14 years, we calculate <em>C(14)</em> as following:
![\begin{gathered} C(14)=100\cdot(\frac{1}{2})^{\frac{14}{5730}} \\ \\ \Rightarrow C(14)=99.83 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20C%2814%29%3D100%5Ccdot%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7B14%7D%7B5730%7D%7D%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20C%2814%29%3D99.83%20%5Cend%7Bgathered%7D)
This way, we'll have 99.83 grams left.
When the X term is one, and doesn't have a leading coefficient, then you can factor it using the box and diamond method. look up videos on Khan Academy of the box and diamond method for solving trinomials. For number 9, you have a difference of squares. That means you can factor to just 2 terms. (x+4)(x-4) this works because 16 has an easy square root, and the sign in between is a negative(difference)
The number is 30
100%=70 x%=21
Solve for the equation and it gets 30