The distance a person would travel on the escalator stairs is 72 ft.The horizontal length needed is approx. 62.35, but in simpliest radical form it's 36√3! Good luck!!!!!!!!!!! <3
(3,0) and (0,9)
Slope= (9-0)/(0-3)= -3
Line equals Y= -3x+9
Answer:
3.67 units
Step-by-step explanation:
The central angle is at the point (0,0).
Then it's at the point (1,0)
Then it moved 210 degrees.
Let's bear in mind that we start moving the degree from it's current position.
So moving 210 degrees is moving 180 degrees plus 30 degrees.
Moving 180 degrees I like transforming linearly.
Now the location is at (-1,0)
But the distance covered will be
= 2πr*210/360
r = 1
= 2*3.142*1*(210/360)
= 6.144*0.5833333
= 3.67 units
Answer:
The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let P be the population of the community
So the population of a community increase at a rate proportional to the number of people present at a time
That is
![\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%20%5Cpropto%20p%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20%3Dkp%5C%5C%5C%5C%20%5Bk%20%5Ctexttt%20%7Bis%20constant%7D%5D%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20-kp%20%3D0)
Solve this equation we get
where p is the present population
p₀ is the initial population
If the initial population as doubled in 5 years
that is time t = 5 years
We get
Apply In on both side to get
Substitute 
in 
to get
Given that population of a community is 9000 at 3 years
substitute t = 3 in 
<h3>Therefore, the initial population is 5937.8</h3>
