Response:
A correlation is present in a scatter plot when a clear trend is observed in the outputs as the inputs rise. A general increase in the outputs signals a positive correlation, while a general decrease indicates a negative correlation.
Answer:
π
V-foam = 4r³( 2 - ----- )
3
Step-by-step explanation:
Let r denote the radius of the sphere. The volume of the sphere is expressed as
V = (4/3)(π)(r³).
Next, understand that the cube's side length is 2r, hence the cube's volume is
V = (2r)³, which equals 8r³.
The volume of the foam is derived from the cube's volume subtracting that of the sphere:
V-foam = 8r³ - (4/3)(π)(r³). This can be simplified to
π
V-foam = 4r³( 2 - ----- )
3
If you are referring to (r+5)/mn, then:
Response:
D. The sidelines are parallel because they are perpendicular to a common line.
Justification:
According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.
