Answer:
<em>Math will take over Ana's brain at 4.4 hours</em>
Step-by-step explanation:
<u>Exponential Grow
</u>
The population of the nanobots follows the equation
![p(t) = 5\cdot 2^t](https://tex.z-dn.net/?f=p%28t%29%20%3D%205%5Ccdot%202%5Et)
We must find the value of t such that the population of nanobots is 106 or more, that is
![5\cdot 2^t\geq 106](https://tex.z-dn.net/?f=5%5Ccdot%202%5Et%5Cgeq%20106)
We'll solve the equation
![5\cdot2^t= 106](https://tex.z-dn.net/?f=5%5Ccdot2%5Et%3D%20106)
Dividing by 5
![2^t= 106/5=21.2](https://tex.z-dn.net/?f=2%5Et%3D%20106%2F5%3D21.2)
Taking logarithms
![log(2^t)= log(21.2)](https://tex.z-dn.net/?f=log%282%5Et%29%3D%20log%2821.2%29)
By logarithms property
![t\cdot log(2)= log(21.2)](https://tex.z-dn.net/?f=t%5Ccdot%20log%282%29%3D%20log%2821.2%29)
Solving for t
![\displaystyle t=\frac{log21.2} {log2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Blog21.2%7D%20%7Blog2%7D)
![t=4.4 \ hours](https://tex.z-dn.net/?f=t%3D4.4%20%5C%20hours)
Math will take over Ana's brain at 4.4 hours
I wanna say the last one is correct not sure about the others . :\
I have the same question and I need help with it too
Answer:
![x=4](https://tex.z-dn.net/?f=x%3D4)
Step-by-step explanation:
A vertical line has an undefined slope.
A line with an undefined slope can not be written in slope intercept form, but it can be written in
form, where
is the x-intercept.
will include the point (4, -3). The line will go through any point with 4 as it's x-value.
Brainilest is appreciated.
Divide 42 by 30 and that should be your correct answer.
hope this helps.