X=2+√42 , hope that is helpful .
Answer:
(a) 
(b) 
Step-by-step explanation:
Given
--- Volume of tank
--- Brine solution
--- Rate in, in gallon/min
--- Rate out, in gallon/min
Required
Determine A(t)
First, calculate the rate in (R in) and (R out) in lb/min



R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2
So, we have:



The change in the amount of brin e in the tank at time t is given as:


Rewrite:

Multiply through by dt
![dA = [15 - \frac{A}{100}]* dt](https://tex.z-dn.net/?f=dA%20%3D%20%5B15%20-%20%5Cfrac%7BA%7D%7B100%7D%5D%2A%20dt)
Make dt stand alone


Express as exponents

Multiply through by 100



Apply initial conditions

Substitute 0 for t in: 





Substitute 15 for c in 


Factorize:

How long to empty the tank
Set A to 0

Divide through by 1500

Collect Like Terms

Take ln of both sides



Answer:
Yes,
Step-by-step explanation:
because two sides are shown equal to each other, a and b. Also two angles are equal to each other, x and y. Once you know two angles or two sides are equal so is the third side.
Another way is SAS (side angle side). There is side a, angle y, and side b. These are shown on both triangles.
Therefore, we can conclude these two triangles are congruent.
What’s the question tho it might be 8:2:13
Answer: c=59 degrees.
Step-by-step explanation:
57 + d + 64 = 180
121 + d = 180
-121 -121
d = 59
Angle d is alternate interior to angle c so they are congruent.