Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
c = 15d + 30
Step-by-step explanation:
Hey there!
This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).
The price for one day ($45) and the price for 4 days($90) are specific points on that line.
The points are (1, 45) and (4, 90).
We can first find the slope of the line:
- As the price rises 45, the days increase by 3
- Slope = rise/run
- Slope = 45/3
- Slope = 15
Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.
Solve for b:
- y = mx + b
- 45 = 15(1) + b
- 45 = 15 + b
- 30 = b
The base price (b) is 30.
The equation is 
Answer:
the awswer would have to be 7
Step-by-step explanation:
The answer is
Pi times 34 times pi= 335.6