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4 years ago

A number to the 11th power divided by the same number to the 8th power equals 27. what is the number?

Mathematics

2 answers:

valkas [14]4 years ago

8 0

The answer is 3.
If n^11/n^8=27 then, n^3=27.
The cube root of 27 is 3.
So the answer is 3.

Lubov Fominskaja [6]4 years ago

6 0

The answer to this question iis3

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If you know that R' (20)=50 and R''(20)=-4, approximate R'(24)

vladimir1956 [14]

Approximate <em>R'</em> by using a linear approximation: for <em>x</em> close enough to 24, you have

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Then

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$f(z) = {z}^{2} - 3 \times z + 2 \\ \\ {z}^{2} - 3z + 2 \\ \\ {z}^{2} - 2z - z + 2 \\ \\ z(z - 2) - 1(z - 2) \\ \\ (z - 1)( z -2 ) \\ \\ (z - 1) = 0 \: \: , \: \: (z - 2) = 0\\ \\ z = 1 \:, \: 2$

put x = (x+1)

$f(x + 1) = {x}^{2} - 3x + 2 \\ \\ {(x + 1)}^{2} - 3 (x + 1) + 2 \\ \\ {x}^{2} + 1 + 2x - 3x - 3 + 2 \\ \\ {x}^{2} - x \\ \\ x(x - 1) \\ \\ x(x - 1) = 0 \\ \\ x - 1 = \frac{0}{x} \\ \\ x - 1 = 0 \\ \\ x = 1.$

put x = (√2 + 1 )

$f( \sqrt{2} + 1) = {x}^{2} - 3x + 2 \\ \\ {( \sqrt{2} + 1) }^{2} - 3( \sqrt{2} + 1) + 2 \\ \\ 2 + 1 + 2\sqrt{2} - 3 \sqrt{2} - 3 + 2 \\ \\ 3 - 1 \sqrt{2} - 1 \\ \\ 2 - \sqrt{2} \\ \\ 2 - 1.4 (optional \: \: \: steps)\\ \\ 0.6 \: \:$

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2 years ago