Answer:
df(t)/dt = 10 - 0.8f(t)
Step-by-step explanation:
The net rate of change, df(t)/dt = rate in - rate out
The rate in = rate litter forms on ground = 10 g/cm²/yr
Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr
Since df(t)/dt = rate in - rate out
df(t)/dt = 10 - 0.8f(t)
So the desired differential equation is
df(t)/dt = 10 - 0.8f(t)
Hope that explanation helps
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is <em>smaller than</em> 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
Answer:
Area of polygon = 42.63 mm²
Step-by-step explanation:
Given:
To find the area of the polygon (rectangle), multiply the length with the width.
⇒ Area of polygon = LW
<u>Substitute the values into the area:</u>
⇒ Area of polygon = (8.7)(4.9) [L = 8.7 mm; W = 4.9 mm]
⇒ Area of polygon = 42.63 mm²