Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?

Mathematics

1 answer:

bezimeni [28]4 years ago

4 0

It is a decimal that does not terminate. 1/3 is equivalent to .3333333333 and so on. it never ends

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Simplify the expression ((81y^-8)/(16x^20))^-1/4

Darina [25.2K]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------$

$\bf \left( \cfrac{81y^{-8}}{16x^{20}} \right)^{-\frac{1}{4}}\implies \left( \cfrac{16x^{20}}{81y^{-8}} \right)^{\frac{1}{4}}\implies \left( \cfrac{2^4x^{20}}{3^4y^{-8}} \right)^{\frac{1}{4}}
\\\\\\
\textit{and now we'll distribute the exponent}\qquad \left( \cfrac{2^{4\cdot \frac{1}{4}}x^{20\cdot \frac{1}{4}}}{3^{4\cdot \frac{1}{4}}y^{-8\cdot \frac{1}{4}}} \right)
\\\\\\
\cfrac{2^1x^5}{3^1y^{-2}}\implies \cfrac{2^1x^5y^2}{3^1}\implies \cfrac{2x^5y^2}{3}$

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3 years ago

List the information as ordered pairs (weeks, total dollars saved).

morpeh [17]

Marcus
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1 10 (1,10)
2 20   (2, 20)
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4   40   (4, 40)

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4 years ago

Solve the simultaneous equations C^2+d^2=5 and 3c+4d=2

Naily [24]

If 3c+4d=2 then c=(2-4d)/3
And if you put that into the other equation
${\frac{2 - 4d}{3}}^{2} + {d}^{2} = 5$
Then you multiply everything by 3, getting

${(2 - 4d)}^{2} + 3 {d}^{2} = 15$
And then

$2 - 4d + \sqrt{3} d = \sqrt{15}$
Leaving
$d( \sqrt{3} - 4) = \sqrt{15} - 2$
I dont have a calc with me right now but you just pot this into the calculator:
$d = \frac{ \sqrt{15} - 2 }{ \sqrt{3} - 4}$
And when you get the number you insert it into the nest eqation to get c

$c = \frac{2 - 4d}{3}$
So basically

$c = \frac{2 - 4 \frac{ \sqrt{15} - 2}{ \sqrt{3} - 4} }{3}$

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3 years ago

Read 2 more answers

What is the exponent when you convert 71,100,000 into scientific notation?

UkoKoshka [18]

Answer:

Step-by-step explanation:

7.11 × 10^7

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3 years ago

Need help with this question

UNO [17]

The slope is 1. The line first crosses the y axis at -5. So the answer is...

y = 1x + -5

3 0

3 years ago