Answer:
-7-5a
Step-by-step
i simplified it if thats what it meant
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:
<em>Last option </em>

Step-by-step explanation:
The general sine function has the following form

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
phase shift
We know that:
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Thus:





Then the function is:

The answer is last option
SOLUTION
The total number of females =

if 14 have an A in the class, the number of students without A is:

8 male students do not have an A, therefore the number of female students without an A is:

The probability that a student does not have an A given that the student is female can be calculated thus:

3 because a polygon has 3 or more sides