Answer: True
Step-by-Step Explanation:
=> 2x + 3y = -7 (Eq. 1)
=> -x = 2y (Eq. 2)
=> x = 1, y = -3
Substitute values of ‘x’ and ‘y’ in Eq. 1 :-
=> 2x + 3y = -7
= 2(1) + 3(-3) = -7
= 2 + -9 = -7
=> -7 = -7
=> LHS = RHS
Therefore, it is a Solution.
Answer:
z ≤ 7
Step-by-step explanation:
9x - 7 ≤ 28 + 4x
9x - 4x ≤ 28 + 7
5x ≤ 35
x ≤ 35 / 5
x ≤ 7
Answer:
Step-by-step explanation:
The resultant can be calculated using triangular law of vector addition as :
Daily compounding, you can gain more interest this way.
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