Vanessa can make 5 portions
Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume = 
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball = 
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.
Answer:
y=log_2 (x)
Step-by-step explanation:
We see that the graph passes though the point (2,1). So we can write:
log_a (2) = 1 => a = 2
So it's a log in base 2.
Answer:
R(x) = x + 9
Step-by-step explanation:
R(x) = x + 9 shifts the graph up 9 units.