Given:
circular pool with a diameter of 25 meters.
find: area of the bottom of the pool.
It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.
Area of a circle = π r²
where:
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters
Area of a circle = 3.14 * (12.5m)²
= 3.14 * 156.25 m²
Area of a circle = 490.625 m²
490.625 m² round to the nearest tenth is 490.60 m²
We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
Answer:
5.38516480713
Step-by-step explanation:
Answer:
db / dt = kb
this becomes b(t) = Ce^(kt)
C = 100, the initial population
P(1) = 420 = 100 e^(1k)
4.2 = e^k
ln 4.2 = k
a) thus, b(t) = 100 e^(t ln 4.2)
b) b(3) = 100 e^(3 ln 4.2)
c) growth constant will still be ln 4.2 (constant percentage of populatioin)
d) 10000 = 100 e^(t ln 4.2)
100 = e^(t ln 4.2)
ln 100 = t ln 4.2
t = ln 100 / ln 4.2
Step-by-step explanation: