Response:
The height of the water when it reaches 4 inches is .
Detailed Explanation:
Flow rate of water from the cone = R=
Height of the cup = h = 6 inches
Radius of the cup = r = 3 inches
r = h/2
Volume of the cone =
h = 4 inches
The height of the water when it is 4 inches deep is .
Answer:
A) 20+0.6
B) Domain is [0, 50] (inclusive)
C) 8.33 litres
Step-by-step explanation:
Assuming there is a 40% acid concentration in a 50-litre container.
The quantity of acid in this container amounts to 40% of 50 litres.
Quantity of acid =
litres are extracted.
The acid volume removed equals 40% of litre.
Remaining acid in the container thus becomes = (20 - 40% of ) litre
This is then substituted with pure acid.
Final acid content in the container is therefore = (20 - 40% of + 100% of
) litre
Quantity of acid in the final mixture:
Answer A) Final mixture acid content = 20+0.6
Answer B) cannot exceed 50 litres (the container's initial volume) and must be at least 0 litres.
Thus, the domain is [0, 50] (inclusive)
Answer C)
For the final mixture to contain 50% acid.
The acid volume = 50% of 50 litres = 25 litres
By applying the equation:
Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3).
5.The boundary lines intersect.
Step-by-step explanation:
We have
----> inequality A
The solution area for inequality A is the region shaded beneath the solid line .
The slope of that solid line is 3.
The coordinates (1,3) fit within the solution set of inequality A.
----> inequality B
The solution area for inequality B is the shaded part above the solid line .
The slope of this solid line is -1.
The coordinates (1,3) also lie within the solution set of inequality B.
The overall solution for the inequalities is the region shaded between the two solid lines.
Please refer to the attached figure.
Verify each statement
1.The slope of one boundary line is 2.
This statement is False.
2.Both boundary lines are solid.
This statement is True.
3.A solution to the system is (1, 3).
This statement is True.
4.Both inequalities shade below their respective boundary lines.
This statement is False.
5.The boundary lines do intersect.
This statement is True.
The point of intersection is (0.25,1.75).
Refer to the attached figure.
