Answer: 3 mi/h
Step-by-step explanation:
Here we have to find the speed 
at which Sarah walks to school, knowing the distance 
she has walked and the time 
she expends.
So, in this case we can use the following equation:
Where:
Solving:
This is Sarah's speed
Answer:
a. The biomass weighs 2.30 * 10^7 kg after a year
b. It'll take 2.56 years to get to 4*10^7kg
Step-by-step explanation:
a.
k = 0.78,K = 6E7 kg
Given
dy/dt = ky(1- y/K)
Make ky dt the subject of formula
ky dt = dy/(1-y/K) --- make k dt the subject of formula
k dt = dy/(y(1-y/K))
k dt = K dy / y(K-y)
k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides
kt + c = ln(y/(K-y))
Ce^(kt) = y/(K-y)
Substitute the values of k and K
Ce^(0.78t) = y/(6*10^7 - y) ----- (1)
Given that y(0) = 2 * 10^7kg
(1) becomes
Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)
Ce° = (2*10^7)/(4*10^7
C = 2/7
Substitute 2/7 for C in (1)
2/7e^0.78t = y/(6*10^7 - y) ---(2)
We're to find the biomass a year later
So, t = 1
2/7e^0.78 = y/(6*10^7 - y)
0.62 = y/(6*10^7 - y)
y = 0.62(6*10^7 - y)
y = 0.62*6*10^7 - 0.62y
y + 0.62y = 0.62*6*10^7
1.62y = 0.62*6*10^7
1.62y = 3.72 * 10^7
y = 2.30 * 10^7kg.
Hence, the biomass weighs 2.30 * 10^7 kg after a year
b.
Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg
Substitute 4*10^7 for y in (2)
2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)
2/7e^0.78t = 4*10^7/2*10^7
2/7e^0.78t = 2
e^0.78t = (2*7)/2
e^0.78t = 2
t = 2 * 1/0.78
t = 2.56 years
Hence, it'll take 2.56 years to get to 4*10^7kg
Hey there, Delilah
What's it like in New York city?
I'm a thousand miles away
But, girl, tonight you look so pretty
Yes, you do
Time square can't shine as bright as you
I swear, it's true
Hey there, Delilah
Don't you worry about the distance
I'm right there if you get lonely
Give this song another listen
Close your eyes
Listen to my voice, it's my disguise
I'm by your side
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Hey there, Delilah
I know times are gettin' hard
But just believe me, girl
Someday I'll pay the bills with this guitar
We'll have it good
We'll have the life we knew we would
My word is good
Hey there, Delilah
I've got so much left to say
If every simple song I wrote to you
Would take your breath away
I'd write it all
Even more in love with me you'd fall
We'd have it all
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
A thousand miles seems pretty far
But they've got planes and trains and cars
I'd walk to you if I had no other way
Our friends would all make fun of us
And we'll just laugh along because we know
That none of them have felt this way
Delilah, I can promise you
That by the time we get through
The world will never ever be the same
And you're to blame
Hey there, Delilah
You be good, and don't you miss me
Two more years and you'll be done with school
And I'll be makin' history like I do
You'll know it's all because of you
We can do whatever we want to
Hey there, Delilah, here's to you
This ones for you
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Oh, whoa, whoa
Oh whoa, oh
Oh, oh
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