Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
 , where
, where  .
.

The solution of this equation is:

The salt concentration after 8 minutes is: 

The instantaneous amount of salt in the tank is:
 
 
 
        
             
        
        
        
Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
    3*6+2
    18+2
    20
 
        
             
        
        
        
Answer:
y=4x-5
Step-by-step explanation:
 
        
                    
             
        
        
        
The measure of m<MAR= 28 de
<h3>What is angle bisector?</h3>
Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.
Given:
AT bisects <MAR
and, m<MAT= (6x-4) and and m<RAT = (2x+8)
As, <MAR is bisected by ray AT.
So, 
<MAT = <RAT
6x-4= 2x+8
6x- 2x = 8+4
4x = 12
x= 3
So, <MAT = 6x-4= 6*3-4= 14
and, <RAT = 2x+8 = 14
Hence, MAR= <MAT + <RAT = 14+14=28
Learn more about angle bisector here:
brainly.com/question/28557178
#SPJ4
 
        
             
        
        
        
The equation would be h=1m+42 and the answer is 78 I think