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Oksana_A [137]
2 years ago
12

Approximate pi plus the square root of 70 to the nearest hundredth.

Mathematics
1 answer:
stich3 [128]2 years ago
5 0

Answer:

  11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

  π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

  π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

  √n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

  r' = a +b/(a +r)

For √70, we have 70 = 8² +6   ⇒   a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

  r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

  r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

  3.1416 +8.3664 = 11.5080 ≈ 11.51

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Step-by-step explanation:

Plug y=7x+4 into your graphic caculator

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
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Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

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Let X be the yield of the batches.

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Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

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t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

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Please help me with this question!!!!!
amm1812

Answer:

B. H(x)=-.008(x-82)^{2}+83

Step-by-step explanation:

Well lets graph the following equation first,

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Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

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D.

Again the blue line does not go farther of higher.

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<em>Thus,</em>

<em>answer choice B. </em>H(x)=-.008(x-82)^{2}+83 <em>is correct.</em>

<em />

<em>Hope this helps :)</em>

3 0
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