Answer:
Remaining cups = 10/3 cups
Step-by-step explanation:
Given:
Total amount of broccoli = 4 cup
Amount of broccoli used = 2/3 cup
Find:
Remaining cups
Computation:
Remaining cups = Total amount of broccoli - Amount of broccoli used
Remaining cups = 4 - 2/3
Remaining cups = (12-2) / 3
Remaining cups = 10/3 cups
(1/2)/12=1/24. So A is correct. There is no difference between A and B... F is also correct....we multiply 12 by 2 to get 1 cup per 24 muffins.
Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:

In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that
. We use this to find r, or 1 - r, to replace in the equation. So



![\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5600%5D%7B%281-r%29%5E%7B5600%7D%7D%20%3D%20%5Csqrt%5B5600%5D%7B0.5%7D)


So

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which
. So







The estimated age of the skull is 39118 years.
Answer:
Third table
Step-by-step explanation:
For the relationship to be proportional
y/x = constant
First table y/x = 8/4 = 2 then 7/11 doesn't =2 so it is not
Second table y/x =52/5 = 5 then 49/7 doesn't =5 so it is not
Third table y/x = 3/6=1/2 then 5/10 = 1/2 then 7/14 = 1/2 it is proportional
Last table y/x = 6/3 = 2 then 11/8 doesn't =2 so it is not
4n^4 √3n I believe would be the simplified form.