Answer:
nj +k = p
Step-by-step explanation:
n = (p-k)/j
Multiply each side by j
nj = (p-k)/j *j
nj = p-k
Add k to each side
nj +k p-k+k
nj +k = p
Answer:
last one - 4/-2
Step-by-step explanation:
two minus(-) becomes a plus(+)
The correct answer would be (4,-5)
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation

Solve for S(t):


The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:



There's no sugar in the water at the start, so (a) S(0) = 0, which gives

and so (b) the amount of sugar in the tank at time t is

As
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Answer:
So the superhero covers 2450 miles in 30 minutes or 1/2 hour
Thus, he/she will cover (2450 x 2) miles in 1 hour
Therefore the answer is his/her velocity is (2450 x 2) miles/hour = 4900 miles/hour.
Hope this helps!
-Agarvated