Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by 
in grams, is governed by the differential equation,
which is linear. Move the 
term to the right side, then multiply both sides by 
:
Integrate both sides, then solve for :
Since the tank starts with 5 g of salt at time 
, we have
The time it takes for the tank to hold 20 g of salt is 
such that
You did not write the question correctly but I will try to answer the question according to 2 possible interpretations of your question.
Case 1:
Given the geometric sequence:
Common ratio is given by
The explicit rule of a geometric sequence is given by
Therefore, the explicit rule of the given sequence is
Case 2:
Given the geometric sequence:
Common ratio is given by
The explicit rule of a geometric sequence is given by
Therefore,
the explicit rule of the given sequence is
Answer
9
Step-by-step explanation:
This is because you are trying to find the absolute value of -(-9). The absolute value is how far away from zero a number is. -(-9) is 9 away from zero.
Answer:
The answer will be 1/9
Step-by-step explanation:
any non zero expression will always be 1. you now have evaluate the powe (-3)^2 which will be 9. Answer should be 1/9. Good Luck!
34.6 we do this because if our second number after the decimal point is 5 or higher we round up because we are passed the halfway mark and this means we are closer to the higher number
