Answer:
dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0
Step-by-step explanation:
The mass flow rate dQ(t)/dt = mass flowing in - mass flowing out
Since 5 g/L of salt is pumped in at a rate of 4 L/min, the mass flow in is thus 5 g/L × 4 L/min = 20 g/min.
Let Q(t) be the mass present at any time, t. The concentration at any time ,t is thus Q(t)/volume = Q(t)/10. Since water drains at a rate of 4 L/min, the mass flow out is thus, Q(t)/10 g/L × 4 L/min = 2Q(t)/5 g/min.
So, dQ(t)/dt = mass flowing in - mass flowing out
dQ(t)/dt = 20 g/min - 2Q(t)/5 g/min
Since the salt just begins to be pumped in, the initial mass of salt in the tank is zero. So Q(0) = 0
So, the initial value problem is thus
dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0
Answer:
26
Step-by-step explanation:
Firstly, plot the points on graph paper which you can find on the internet. The first number in the ordered pair, (the ones in parenthesis), is the x coordinate. The other number is the y coordinate. Put these onto a graph which is attached. The perimeter is 26.
Answer:
read below
Step-by-step explanation:
A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work sooooo.... A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.
A2: C
1 cup of concentrate vs 2 water.... the water will make it MUCH more of a clear color.
Question C: this is more time consuming and I am tired so for you this might be easier if you're not as tired so based on what I'm reading you need to do math for each of the 4 options above, concentrate and water mix, and then divide the total of the 2 types of cups for every option.
Hope Q1 and Q2 helped though!
Answer:
y<
x+1 is inequality shown on graph.
Step-by-step explanation:
The graph shows representation of inequality,
Here, Line passes through points say, A(3,0) and B(0,1)
The slope of line is given by m=
m=
m=
m=
and Y-intercept is c=1
The equation of line is given by y=mx+c
y=x+1 is equation of line in graph.
To decide which side you are going to shaded area on the graph
Take test of origin.
If (0,0) is statisfy the equation then, shaded the graph towards the origin.
Let suppose,
Take, y<x+1
0<(0)+1
0<1
TRUE,
Therefore, y<x+1 is inequality shown on graph.
Answer:
The answer is (4x-1)·(3x+2)
Step-by-step explanation:
