Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Answer: 2001 people attended the football game this week.
Step-by-step explanation:
Given: Total people came to the ball game = 2300
Decrease percent = 13%
Number of people attended the football game this week = p-0.13p, where p= number of people attended football last week.
for p= 2300
Number of people attended the football game this week = 2300- 0.13 x (2300)
=2300- 299
= 2001
hence, 2001 people attended the football game this week.
Answer:
- For the data distribution question I think it's the middle two (with the 3 as the center)
- For the histogram (lol I say bar chart or bar graph) I'd say it's 24.
Step-by-step explanation:
- For number 1, since both of them have 3 as the most occurring and the middle number, I think it's those two.
- For number 2, I added the frequencies for each bar together to equal 24.
I'm not quite sure about my answers though, sorry :(
Hope I helped :)
The number of Hamilton Circuits with 8 vertices are 5040.
Given that, a complete, weighted graph with 8 vertices.
<h3>What are Hamilton Circuits?</h3>
A Hamiltonian circuit is a circuit that visits every vertex once with no repeats. Being a circuit, it must start and end at the same vertex. A Hamiltonian path also visits every vertex once with no repeats, but does not have to start and end at the same vertex.
For N vertices in a complete graph, there will be (n−1)!=(n−1)(n−2)(n−3)…3⋅2⋅1 routes. Half of these are duplicates in reverse order, so there are (n−1)!/2 unique circuits.
A complete graph with 8 vertices would have = 5040 possible Hamiltonian circuits. Half of the circuits are duplicates of other circuits but in reverse order, leaving 2520 unique routes.
Therefore, the number of Hamilton Circuits with 8 vertices are 5040.
Learn more about the Hamilton Circuits here:
brainly.com/question/24725745.
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