If p=4 and q=10, evaluate the following expression:30/q−p
2 answers:
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Answer:
B) Yes, because the slope is and the zero is (12, 0)
Step-by-step explanation:
From inspection of the graph:
- y-intercept = (0, 100)
- Two points: (3, 75) and (6, 50)
Therefore, the equation of the line in slope-intercept form y = mx + b
(where m is the slope and b is the y-intercept) is:
To find the zero (when y = 0), set the equation to zero and solve for x:
Therefore, the zero is at (12, 0)
Therefore, the graph does represent the function because the slope is and the zero is at (12, 0)
The population after 20 weeks will be 403.42 in which
is the initial population.
Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.
We are required to find the number of bacteria present after 10 weeks.
let the number of bacteria present at t is x.
So,
dx/dt∝x
dx/dt=kx
1/x dx=k dt
Now integrate both sides.
=
log x=kt+log c----------1
Put t=0
log =0 +log c (
shows the population in beginning)
Cancelling log from both sides.
c=
So put c= in 1
log x=kt+log
log x=log +log
log x=log
x=
We have been given that the population triples in a week so we have to put the value of x=2 and t=1 to get the value of k.
2=
2=
log 2=k
We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.
x=
x=
x=
x=403.42
Hence the population after 20 weeks will be 403.42 in which
is the initial population.
Learn more about growth rate at brainly.com/question/25849702
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The given question is incomplete as the question incudes the following:
Calculate the population after 20 weeks.