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
We must find the value of t such that the population of nanobots is 106 or more, that is
We'll solve the equation
Dividing by 5
Taking logarithms
By logarithms property
Solving for t
Math will take over Ana's brain at 4.4 hours
I showed my answer below on paper. There are many ways to do this problem like substitution, elimination, matrices, etc... I used elimination with back-substitution. If you have any questions, let me know.
(0, 15)
(10, 19.34)
m = (19.34 - 15) / (10 - 0) = .434
P(d) - .434d + 15
Answer:
4 5/6 = n
Step-by-step explanation:
5 1/2 = n+ 2/3
Subtract 2/3 from each side
5 1/2 - 2/3 = n+ 2/3 -2/3
5 1/2 - 2/3 = n
Get a common denominator of 6
5 1/2 * 3/3 = 5 3/6
2/3 = 2/3 * 2/2 = 4/6
5 3/6 - 4/6 = n
We need to borrow 1 from the 5 in the form of 6/6
5 3/6 = 4 6/6+ 3/6 = 4 9/6
4 9/6 - 4/6 =n
4 5/6 = n