Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is
. Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

Therefore,
or just
and in terms of time,

Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
Answer:
Step-by-step explanation:
First, we will find the midpoint for the x - coordinate first.
Midpoint (x) = 
Now we will find the midpoint for the y - coordinate.
Midpoint (y) = 
Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)
Answer:
D
Step-by-step explanation:
Negative means it goes down and if its linear then th line needs to be straight.
16.64 average of the four races that kerri ran in seconds.
<u><em>Answer:</em></u>
The intersection point is (-4,-19)
<u><em>Explanation:</em></u>
<u>The two given equations are:</u>
y = 5x + 1
y = 2x - 11
<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>
<u>This is done as follows:</u>
5x + 1 = 2x - 11
5x - 2x = -11 - 1
3x = - 12
x = -4
<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>
<u>Using the first equation:</u>
y = 5x + 1 = 5(-4) + 1 = -19
<u>Check using the second equation:</u>
y = 2x - 11 = 2(-4) - 11 = -19 ................? checked
<u>Therefore:</u>
The intersection point between the two given equations is (-4,-19)
Hope this helps :)