Log N^3 = 3 log N
using the theorem log a^2 = 2 log a
Answer:
is a solution
Step-by-step explanation:
Given
![y \le -4x + 3](https://tex.z-dn.net/?f=y%20%5Cle%20-4x%20%2B%203)
![x + 8y \ge 7](https://tex.z-dn.net/?f=x%20%2B%208y%20%5Cge%207)
Required
Determine if
is a solution
becomes
![2 \le -4 * -3 + 3](https://tex.z-dn.net/?f=2%20%5Cle%20-4%20%2A%20-3%20%2B%203)
--- this is true
![x + 8y \ge 7](https://tex.z-dn.net/?f=x%20%2B%208y%20%5Cge%207)
![-3+ 8 * 2 \ge 7](https://tex.z-dn.net/?f=-3%2B%208%20%2A%202%20%5Cge%207)
--- this is also true
Hence,
is a solution
Answer:
A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending ...
The volume formula of a cylinder is :
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
From the problem, the volume is 1 m^3 and the height is 0.6 m.
Substitute the given to the formula :
![\begin{gathered} 1=\pi r^2(0.6) \\ 1=3.14(0.6)r^2 \\ r^2=0.53 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201%3D%5Cpi%20r%5E2%280.6%29%20%5C%5C%201%3D3.14%280.6%29r%5E2%20%5C%5C%20r%5E2%3D0.53%20%5Cend%7Bgathered%7D)
Take the square root of both sides of the equation :
![\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20r%5E2%3D0.53%20%5C%5C%20r%3D%5Csqrt%5B%5D%7B0.53%7D%20%5C%5C%20r%3D0.728%20%5Cend%7Bgathered%7D)
The answer is r = 0.728 m