Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.
<h3>What is the differential equation used in this problem?</h3>
- The bacteria in certain culture increase at a rate proportional to the number present, which means that the population is described by the following differential equation:
- In which k is the growth rate.
Applying <em>separation of variables</em>, the solution is:
The number of bacteria doubles in three hours, hence P(3) = 2P(0), which is used to find k.
Hence:
It triples when P(t) = 3P(0), hence:
The bacteria's population will triple in 4.75 hours.
A similar problem, also involving a differential equation, is given at brainly.com/question/14423176
Answer:
Step-by-step explanation:
Which number is greater 0.3 or -0.7?
0.3 is greater because it is a positive number. The other one is a negative.
Y-intercept, it can be described as y-intercept form, or another way of writing it in mathematical form is y=mx+b, this can be used to draw polygons, find ortho-centers (very difficult), etc. m is the rise/run, rise over run, or 1/2. The rise and the run is the rate of change. b is the starting point or slope where it starts at, that is most of it!
Answer:
He needs to score a 19
Step-by-step explanation:
First, I found the mean of the three test scores. The mean was below 17 so I knew he needed a grade higher than the ones he already has. So I went up from 18. So my first equation was 15+18+16+19=68. then I divided by 4 which gives you a mean of 17. (Mean=average)
Answer:
They teach students note-taking skills. They give students the answers for tests. They provide a fast and easy way to take notes.
Step-by-step explanation: