Answer:
yes
Step-by-step explanation:
Volume of rectangular prism = area of base x height
If the base is square with edges of 8, then area of base = 8 x 8 = 64
Therefore, volume = 64 x 11 = 704 units³
If the edges of the base are tripled, then an edge = 8 x 3 = 24
Therefore, the area of the base = 24 x 24 = 576
So volume = 576 x 11 = 6336 units³
Divide new volume by initial volume = 6336 ÷ 704 = 9
So yes, Han is right as the new volume is 9 times bigger.
To simplify ![\frac{3}{\sqrt[3]{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B%5Csqrt%5B3%5D%7B3%7D%20%7D)
, we have to follow the rules.
Here are the steps to the question:
Step 1: Follow the radical rule.
![\sqrt[n]{a}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D)
= a 
So, we get 
.
Next, follow the exponent rule.
= 
We get 
.
The answer is \frac{3}{\sqrt[3]{3} }.
Answer:
0
Step-by-step explanation:
f(x) = √(x) + 12
g(x) = 2√(x)
(f-g)(x) = √(x) + 12 - 2√(x)
(f-g)(x) = 12 - √(x)
if x = 144
(f-g)(144) = 12 - √(144) = 12 - 12 = 0
