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3 years ago

MATH HELP!!!!!!!!!!!!!!!

Mathematics

2 answers:

never [62]3 years ago

6 0

1/3 because it is 0.333333 repeated while 0.3 is just 0.30000 so just covert them to decimals

ANEK [815]3 years ago

3 0

If you don't want to compare infinite decimal places, you can simply convert 0.3 to fraction instead of 1/3 to number:

$0.3 = \dfrac{3}{10}$

So, the question now becomes: which is bigger, 1/3 or 3/10?

You can find the answer by giving the same denominator to both fractions:

$\dfrac{3}{10} = \dfrac{3\cdot3}{10\cdot 3} = \dfrac{9}{30}$

$\dfrac{1}{3} = \dfrac{1\cdot 10}{3 \cdot 10} = \dfrac{10}{30}$

So, since 10/30 is more than 9/30, you can deduce that 1/3 is more than 0.3

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2 years ago

Read 2 more answers

Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100

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Answer:

Step-by-step explanation:

given is a function as

$y=\frac{27}{x^3}$

We are to find the area form x=1 to x=t

The curve from x=1 lies in the I quadratnt.

So area above x axis is to be calculated

Area = $\int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )$

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area = $\frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865$

c) t=10000

area = $\frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5$

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