Answer:
Step-by-step explanation:
For this case the solution flows at a rate of 2L/min and leaves at 1L/min. So then we can conclude the volume is given by
Since the initial volume is 10 L and the volume increase at a rate of 1L/min.
For this case we can define A as the concentration for the salt in the container. And for this case we can set up the following differential equation:
Because at the begin we have a concentration of 8 gr/L and would be decreasing at a rate of
So then we can reorder the differential equation like this:
We find the solution using the integration factor:
And then the solution would be given by:
And if we simplify this we got:
And after do the integral we got:
And using the initial condition t=0 A= 20 we have this:
So then we have this function for the solution of A:
And now replacinf t= 40 we got:
Answer:
2764.8cm³
Step-by-step explanation:
Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism
Step 1
Find the volume of the cuboid
Volume of the cuboid = Length × Width × Height
Length = 10cm
Width = 20.4cm
Height = 11.2cm
Volume = 10cm × 20.4cm × 11.2cm
Volume = 2284.8cm³
Step 2
Volume of Triangular prism = 1/2 × base × height × length
= 1/2 × 8 × 12 × 10
= 480cm³
Total volume = 2284.8cm³ + 480cm³
= 2764.8cm³
Oh so it’s good for you guys too and we are doing well with you and the baby
Answer:
B
Step-by-step explanation:
The number of bushels of apples he picks (B) would be times by 5 as he would earn that much per bushel to get his pay (P)