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4 years ago

Reciprocal of 2 (1/7) is _

Mathematics

2 answers:

Gnesinka [82]4 years ago

5 0

Answer:

7/15

Step-by-step explanation:

2 1/7 is 2*7+1/7 = 15/7. The reciprocal of this would happen if you flip it upside down. Thus, the reciprocal is 7/15.

PolarNik [594]4 years ago

3 0

Answer:

$\frac{7}{15}$

Step-by-step explanation:

To find the reciprocal of a fraction, simply switch the numerator and denominator.

Since $2\frac{1}{7}$ is a mixed number, start by converting it to a common fraction using $a\frac{b}{c}\implies \frac{a \cdot c+ b}{c}$

Therefore, $2\frac{1}{7}$ as a common fraction is:

$\frac{2\cdot 7+1}{7}=\frac{14+1}{7}=\frac{15}{7}$

Now switch the numerator and denominator to find the reciprocal:

$\rightarrow \boxed{\frac{7}{15}}$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Find the arc length of the given curve between the specified points.

yuradex [85]

Answer:

4.25

Step-by-step explanation:

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$f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2} } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} + \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} + \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2} = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\$

$ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2} } \, dx \\= (\frac{x^3}{18} - \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25$

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3 years ago

Reciprocal of 2 (1/7) is _​

Reciprocal of 2 (1/7) is _