30. is just asking where the two equations graphed intersect each other...
x = -3 and x = 1 for intersections.
Answer:
x = 20
Step-by-step explanation:
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
brainly.com/question/11464095
#SPJ1
It's the formula of the volume of a cone with equal lengths of radius and height.
![\dfrac{1}{3}\pi r^3=V\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\to r=\sqrt[3]{\dfrac{3V}{\pi}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E3%3DV%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C%5Cpi%20r%5E3%3D3V%5C%20%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B3V%7D%7B%5Cpi%7D%5Cto%20r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B%5Cpi%7D%7D)
