dP / dt = P / 10
We apply separable variables:
dP / P = dt / 10
We integrate both sides:
Ln (P) = t / 10 + C
We rewrite the equation:
Exp (Ln (P)) = Exp (t / 10 + C)
P = Exp (C) * Exp (t / 10)
P = C * Exp (t / 10)
We look for the constant using:
P (0) = 300
300 = C * Exp (0/10)
300 = C * 1
C = 300
We rewrite the equation:
P = 300 * Exp (t / 10)
After 40 hours we have:
P = 300 * Exp (40/10)
P = 16379.44501
Answer:
the population size after 40 hours is:
P = 16379
Answer:
C
Step-by-step explanation:
To find the x- intercept let y = 0, hence
cos() = 0
= (0 ) =
multiply both sides by 2
x = π ← x- intercept
Answer:
Step-by-step explanation:
<u>Given:</u>
Radius [r] = 3
Height [h] =7
<u>To Find:</u>
Volume of the cone
<u>Solution:</u>
We need to use the formula of volume of cone to find the volume of cone.
So We know that,
Where,
- π = 22/7[According to the question]
- r = radius
- h = height
So put their values in the formulae:
Now Simplify to find the value of cone.
Hence, the volume of the cone would be 66 units^3 .
I hope this helps!
Answer:
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to find SA we need to find the area of the rectangles.
So lets do the top rectangle,
6*6 = <u>36</u>
Now lets do the the left rectangle,
10*6 = <u>60</u>
Now lets do the far right one,
6*4 = <u>24</u>
Now lets do the second highest rectangle,
4*6 = <u>24</u>
Now lets do the rectangle facing the right side,
6*6 = <u>36</u>
Now we can do the bottom rectangle,
6*10 = <u>60</u>
Now lets do the 2 facing front and back,
6*10 = 60
4*4 = 16
60+16 = 76
76*2 = <u>152</u>
Now we can add everything,
152 + 60 + 36 + 24 + 24 + 60 + 36
= 392 in^2
<em>Hope this helps :)</em>
4/1, 5/2 and so on. Good Luck!