Ln20+ln5=2lnx
ln(20*5)=lnx^2
ln100=lnx^2
100=x^2
x=+10 or -10
Answer:
5 Tons
Step-by-step explanation:
Or 7,858.35 Pound sterling In Money Standards
Answer:
Part 1
s'(t)=1

Part 2
![s'(t)=\frac{1}{3\sqrt[3]{t^2}}](https://tex.z-dn.net/?f=s%27%28t%29%3D%5Cfrac%7B1%7D%7B3%5Csqrt%5B3%5D%7Bt%5E2%7D%7D)
V'(t)=1
Step-by-step explanation:
As stated in the question, if s is the length of a cube, its volume is

When s changes in time, the volume will change too. The challenge here is to find the growth of the volume in terms of those changes in length
Part 1

The change of s with respect to time is found by differentiating the relation to get

The volume will also change, and its derivative is

Since s'=1

How s=t

Part 2

Replacing this into the formula for V(s)

So we have
![s=\sqrt[3]{t}=t^{\frac{1}{3}}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B3%5D%7Bt%7D%3Dt%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Computing the derivatives:
V(t)=t =>
V'(t)=1
![s'(t)=\frac{1}{3}t^{-\frac{2}{3}}=\frac{1}{3\sqrt[3]{t^2}}](https://tex.z-dn.net/?f=s%27%28t%29%3D%5Cfrac%7B1%7D%7B3%7Dt%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Cfrac%7B1%7D%7B3%5Csqrt%5B3%5D%7Bt%5E2%7D%7D)
Answer:
use the formula 14000=7000(1+5.2÷100)^t-1
The HCF is 4. Use ladder method to find it.