Let us say that t is number of months and n is the number
of cases of Bangkok flu, therefore the equation we can create here is:
dn / dt = 10 t + 450
<span>where 10 represents the slope and 450 represents the
y-intercept</span>
18/30 simplifies into 6/10 which then is put in decimal form of 0.6
Answer:
1. the y-intercept is 9.5 and it means the starting length of the candle
2. the slope is -1/2 and it means that the candle burns 1/2 an inch every hour
3. it burns an inch every 2 hours, it is 9.5 inches long, so 19 hours it'll take to burn.
Exponential growth has the form:
F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.
First let's solve for the rate, r, using the points provided...
37325/34560=(Ir^2)/(Ir^1)
r≈1.08
Now find the initial amount...
34560=I(1.08)^1
I=32000 so now we have the entire equation, using x and y...
y=32000(1.08)^x
You can use Heron's formula to do this
Area of triangle = sqrt[ s(s-a)(s-b)(s-c) ] where s = half the perimeter of the triangle =
1/2 * 13+5+9 = 13.5
so required area = sqrt [ (13.5)(13.5-13)(13.5-5)(13.5-9)]
= 16.1 square meters
