If you travel 40 miles at 45 miles per hour, how many minutes will that take you?
1 answer:
Ok so im not good with words and math, but i am going to try my best to explain it. first you will take 45/60 which is the 45 miles per hour. next you will put it equal to 40/x. x is how many minutes. they are set equal to each other because they are the same ratio. (i honestly dont know why you cross multiply, but you just do). you then multiply 40*60 and 45*x. this gives you 2400=45x. you then divide both sides by 45 and get 53 1/3 minutes. or 53 minutes and 20 seconds
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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.
