Is it supposed to be john and daniel both are 1/2 of a cup? because then the answer would be 1 cup total
302 times itself equals 91,204
Answer: Hello there!
A model to see the growth of a certain population is the exponential model.
If the initial population is P, then the model can be written as
![f(t) = Pe^{rt}](https://tex.z-dn.net/?f=f%28t%29%20%3D%20Pe%5E%7Brt%7D)
Where t is the time, and r is growth rate.
and f(0) = P
Then we want to know the time needed for the initial population to be doubled, this is f(x) = 2P, where x is the time that we want to find.
then ![f(x)=Pe^{rx} =2P](https://tex.z-dn.net/?f=f%28x%29%3DPe%5E%7Brx%7D%20%3D2P)
![e^{rx} = 2](https://tex.z-dn.net/?f=e%5E%7Brx%7D%20%3D%202)
![ln(e^{rx} ) = ln(2)](https://tex.z-dn.net/?f=ln%28e%5E%7Brx%7D%20%29%20%3D%20ln%282%29)
![rx = ln(2)](https://tex.z-dn.net/?f=rx%20%3D%20ln%282%29)
then x= ln(2)/r
Let the smaller odd integer be x and the larger be x + 2.
![x + x + 2 \leqslant 46 \\ 2x + 2 \leqslant 46 \\ 2x \leqslant 44 \\ x \leqslant 22 \\ x = 21](https://tex.z-dn.net/?f=x%20%2B%20x%20%2B%202%20%5Cleqslant%2046%20%5C%5C%202x%20%2B%202%20%5Cleqslant%2046%20%5C%5C%202x%20%5Cleqslant%2044%20%5C%5C%20x%20%5Cleqslant%2022%20%5C%5C%20x%20%3D%2021)
21, 23
Answer:
the correct answer is C
Step-by-step explanation:
Abbasid Caliphs Harun al-Rashid and his son, al-Ma'mun, who followed him, established a House of Wisdom in Baghdad—a dedicated space for scholarship. The House of Wisdom increased in use and prestige under al-Ma'mun's rule, from 813 to 833.