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Ksenya-84 [330]
3 years ago
15

E volume of the​ object, when you reduce the length of your ruler by a factor of 8​, the number of volume elements increases by

a factor of 512 what's the dimension
Mathematics
2 answers:
otez555 [7]3 years ago
8 0

Answer:

D=3.88

Step-by-step explanation:

We can use this equation:

N=R^{D}

Where:

  • N is the increase factor (N=512)
  • R is the reduce factor (R=8)
  • D is the dimension

512=5^{D}

We just need to solve it for D

D=log(512)/log(5)

D=3.88

Therefore the dimension will be 3

I hope it helps you!

denis23 [38]3 years ago
6 0

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4

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