Ethan this time can you show me how to place it in all 3 of my boxes
2 answers:
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Answer:
1, 4, 3, 6, 2, 7, 5
Step-by-step explanation:
The circle operator in means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation
means
That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.
__
If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.
Answer:
1) Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water
2)
Step-by-step explanation:
1) Here we have;
First tank A
Volume of tank = x³
The volume of the sphere =
However, the diameter of the sphere = x therefore;
r = x/2 and the volume of the sphere is thus;
volume of the sphere = =
For tank B
Volume of tank = x³
The volume of the spheres =
However, the diameter of the spheres 2·D = x therefore;
r = x/4 and the volume of the sphere is thus;
volume of the spheres =
For tank C
Volume of tank = x³
The volume of the spheres =
However, the diameter of the spheres 4·D = x therefore;
r = x/8 and the volume of the sphere is thus;
volume of the spheres =
Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water
2) For the 4th tank, we have;
number of spheres on side of the tank, n is given thus;
n³ = 512
∴ n = ∛512 = 8
Hence we have;
Volume of tank = x³
The volume of the spheres =
However, the diameter of the spheres 8·D = x therefore;
r = x/16 and the volume of the sphere is thus;
volume of the spheres =
Amount of water remaining in the tank is given by the following expression;
Amount of water remaining in the tank = Volume of tank - volume of spheres
Amount of water remaining in the tank =
.