Answer:
![\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cdfrac%7B4%7D%7B3%7D%7D)
Step-by-step explanation:
![\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cln%20a%5En%3Dn%5Cln%20a%5C%5C%5C%5C%5Cln%20e%3D1%5C%5C-----------%5C%5C%5C%5C%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cln%20e%5E%5Cfrac%7B4%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5Cln%20e%3D%5Cdfrac%7B4%7D%7B3%7D%5Ccdot1%3D%5Cdfrac%7B4%7D%7B3%7D)
Answer:
1).B
2).A
3).D
4).B
5).C
6).D
7).D
8).B
9).C
10). I believe it is A
Step-by-step explanation:
I'm sorry, i do not know how to explain this, I hope I helped you in some way and I hope these answers work for you :)
Hey is there a way you could send a photo of the equation
Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
