Answer:
The volume increases at a rate of 
Step-by-step explanation:
The rate of change of the radius with respect to time is 4 mm / s.
So:
Now we must find a relationship between the volume of a sphere and its radius.
The equation of the volume of a sphere is:
So:
The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.
So:
The volume increases at a rate of :
40000 π mm ^ 3 / s = 125663.71 mm^3/s
Answer:
1. 55mph
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
1.
The first transformation, the translation 4 units down, can be described with the following symbols:
(x, y) → (x, y-4).
as the points are shifted 4 units vertically, down. Thus the x-coordinates of the points do not change.
A'(1, 1) → A"(1, 1-4)=A"(1, -3).
B'(2, 3) → B"(2, 3-4)=B"(2, -1).
C'(5, 0) → C"(5, 0-4)=C"(5, -4).
2.
The second transformation can be described with:
(x, y) → (x, -y).
as a reflection with respect to the x-axis maps:
for example, (5, -7) to (5, 7), or (-3, -4) to (-3, 4)
thus, under this transformation A", B", C" are mapped to A', B' and C' as follows:
A"(1, -3)→A'(1, -(-3))=A'(1, 3)
B"(2, -1)→B'(2, -(-1))=B'(2, 1)
C"(5, -4)→C'(5, -(-4))=C'(5, 4)
Answer:
A'(1, 3), B'(2, 1), C'(5, 4)
Answer:
z = 7/100
Step-by-step explanation:
