Answer:
sure where is the attachment?
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
solve a + (3a) + (a + 100)=510
Answer:
-1/4
Step-by-step explanation:
Hello!
The rate of change is also known as the slope.
Standard equation of a line: y = mx + b
- y: output
- m: slope
- x: input
- b: y-intercept
So, if we match the standard form to the given function:
-1/4 is m, or the rate of change.
Hey there!
1. 5(s-2) This is because s-2 is the length of each side, and there are 5 sides in a pentagon all of that length, so multiplying it by 5 like this shows its perimeter.
2. 5s-10 This can be found by distributing the first equation, multiplying both s and -2 by 5.
3. (s-2) + (s-2) + (s-2) + (s-2) + (s-2) Each grouping in the parenthesis represents each of the 5 sides, so adding them all together will get you the perimeter.
4. 5(s) + 5(-2) This one is most like the first one, except it's a little more spread out. Multiply the term s by the 5 sides in one grouping, and the integer -2 by 5 in the other.
Hope this helps!
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow = 
Thus rate of change of salt
Q'(t) = inflow - outflow = 
Separate the variables and integrate
Use the fact that Q(0) = 90
90 = 360-A
A = 270
So
B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36
