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ycow [4]
2 years ago
10

Simplify the following expression: 4 / y to the -3 power.

Mathematics
1 answer:
kirill [66]2 years ago
3 0
The mathematical expression of the given above is 4/y^-3 where only the denominator is raised to exponent -3. Remember that the expression x^-n may also be expressed as 1/x^n. Thus, for the given, transfer the y^-3 of the denominator to the numerator to give the final answer of 4y³.
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The radius of the cardboard tube of 85th loop of paper is 4.92cm

The arithmetic sequence is the sequence where every term is increased or decreased by a fixed number from the previous number.

Here the outer radius of the tube is 2.4 cm

the thickness of the paper is 0.3mm= 0.03cm

i.e. in every loop the increase in the radius of the loop is 0.03cm

then the radius in every sequence will be  2.40, 2.43, 2.46, 2.49, 2.52, .....

so here it is clear that it is an arithmetic sequence with a common difference of 0.03.

nth term of the sequence, aₙ = a₁ + (n - 1)d where a₁ is the first term, n is the index of the loop, and d is a common difference.

here a₁ =2.40

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n=85

the radius of tube of the 85th loop will be= r= 2.40+(85-1)0.03= 2.40+ 2.52= 4.92

Therefore The radius of the cardboard tube of the 85th loop of paper is 4.92cm

Learn more about the arithmetic sequence

here: brainly.com/question/6561461

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6 0
1 year ago
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Skewed Right I think. I'm not sure but try it

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