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3 years ago

If a varies inversely as the cube root of b and a=1 when b=64, find b

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

Answer:

b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

a = k/∛b

Multiplying by ∛b lets us find the value of k:

k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

64 = a³b

b = 64/a³ . . . . . divide by a³

The value of b is ...

b = 64/a³

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2 years ago

If a varies inversely as the cube root of b and a=1 when b=64, find b​

If a varies inversely as the cube root of b and a=1 when b=64, find b