Answer:
12 weeks
Step-by-step explanation:
30 x 12 = 360
which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had
I hope this helps!!
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.
Answer:
An arithmetic sequence is an infinately long set of numbers that increase by a certain amount(this amount is called the common difference) every number. for example, 1,2,3,4,5... is an arithmetic sequence with a common difference of one.
.25 because .5 is the same as .50 and 25 divided by 2 is 25 and its .25 as a final
Given:
In the circle P, ABCD is inscribed quadrilateral.
And, ∠DAB = 110°, ∠ABC = 72°
To find the value of ∠ADC.
Theorem:
A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary [ sum of the opposite angles will be 180°]
According to the theorem,




Hence,
The value of ∠ADC is 108°.
Hence, Option b is the correct answer.