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Reika [66]
2 years ago
9

Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
5 0

Answer:

Step-by-step explanation:

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What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m
Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg

Thus, the mass of the solid ball of iron is 60.6528 kg

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2 years ago
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STALIN [3.7K]
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3 years ago
Help and fast i'm on the quiz Which two points on the number line represent numbers that can be combined to make zero??
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Answer:

B and D

Step-by-step explanation:

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Answer:

i believe it would be 12

hope this helps !!

Step-by-step explanation:

96 divided by 8 would equal 12 so therefore the answer is 12

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