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ludmilkaskok [199]
3 years ago
9

Express 71/1000 as a decimal

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

71/1000 as a decimal you have to divide numerator by the denominator of the fraction.  

We divide now 71 by 1000 what we write down as 71/1000 and we get 0.071

Step-by-step explanation:


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Rate is distance over time

Step-by-step explanation:

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Diego's doctor has recommended that his daily diet should include 3 vegetables, 2 fruits, and 2 whole grains. At the grocery sto
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Answer:

166320 ways

Step-by-step explanation:

In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:

Number of ways you can choose 3 vegetables out of 9 available:

nCr = n! / (r! * (n-r)!)

in this case n = 9, r = 3, replacing:

9C3 = 9! / (3! * (9-3)!) = 84

Number of ways you can choose 2 fruits out of 9 available:

9C2 = 9! / (2! * (9-2)!) = 36

Number of ways you can choose 2 whole grains out of 11 available:

11C2 = 11! / (2! * (11-2)!) = 55

So according to the rule of the products how many ways you can choose the daily diet

84*36*55 = 166320

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Step-by-step explanation:

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What is the constant term in the expansion of $\left(\sqrt{x}+\dfrac5x\right)^{9}$?
PolarNik [594]

Answer:

(\sqrt{x})^{5}(5/x)^{4}

Step-by-step explanation:

Hi there.

Well, let's translate it from Latex. Then expanding it:

\left(\sqrt{x}+\dfrac5x\right)^{9}=    (\sqrt{x})^9(5/x)^{0} +(\sqrt{x})^{8}(5/x)^{1}+(\sqrt{x})^{7}(5/x)^{2} \\+(\sqrt{x})^{6}(5/x)^{3}+(\sqrt{x})^{5}(5/x)^{4}+(\sqrt{x})^{4}(5/x)^{5}\\+(\sqrt{x})^{3}(5/x)^{6}+(\sqrt{x})^{2}(5/x)^{7}+(\sqrt{x})^{1}(5/x)^{8}+(\sqrt{x})^{0}(5/x)^{9} =

\frac{\left(5+x^{\frac{3}{2}}\right)^9}{x^9}

Finding a constant term, in a Binomial has its cases.

In this case, there's no constant as a real number. Also, this an univariate binomial. So to find this Binomial expansion's constant term. We must follow this formula, (for a 9th degree) there are 10 terms:

n-2k=0\\10 -2k =0\\K=5th :\term\\

(\sqrt{x})^{5}(5/x)^{4}

Because this result satisfy a ratio.

y=\frac{c}{x}

Where c is the constant term, x is the first term of this binomial

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3 years ago
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