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2 years ago

What is 2.664 rounded to the nearest whole number?

Mathematics

1 answer:

irakobra [83]2 years ago

7 0

Answer:

Step-by-step explanation:

the rule is if its .5 or higher than you round up. since the decimal in 2.664 is .664, you'd round up to make 3

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What the number in two other forms for 4.293?

Pachacha [2.7K]

4.293= 4 $\frac{293}{10000}$

4.293= 4+0.2+0.09+0.003

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2 years ago

3/4 of the girls at the valentines dance wore dresses, 5 girls wore skirts. And the rst wore pants. If there were 52 girls at th

babymother [125]

Answer:

8Girls

Step-by-step explanation:

52/4=13

13*3=39

39+5=44

52-44=8 girls

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2 years ago

a) Γ(n) =∫[infinity]0tn−1e−tdta)Show that Γ(n+ 1) =nΓ(n) using integration by parts.b) Show that Γ(n+ 1) =n! , wherenis a positi

Nataliya [291]

$\Gamma(n)=\displaystyle\int_0^\infty t^{n-1}e^{-t}\,\mathrm dt$

a. Integrate by parts by taking

$u=t^{n-1}\implies\mathrm du=(n-1)t^{n-2}\,\mathrm dt$

$\mathrm dv=e^{-t}\,\mathrm dt\implies v=-e^{-t}$

Then

$\displaystyle\Gamma(n)=-t^{n-1}e^{-t}\bigg|_0^\infty+(n-1)\int_0^\infty t^{n-2}e^{-t}\,\mathrm dt$

We have

$\displaystyle\lim_{t\to\infty}\frac{t^{n-1}}{e^t}=0$

and so

$\Gamma(n)=(n-1)\displaystyle\int_0^\infty t^{n-2}e^{-t}\,\mathrm dt=(n-1)\Gamma(n-1)$

or, replacing $n\to n+1$ , $\Gamma(n+1)=n\Gamma(n)$ .

b. From the above recursive relation, we find

$\Gamma(n+1)=n\Gamma(n)=n(n-1)\Gamma(n-1)=n(n-1)(n-2)\Gamma(n-2)=\cdots=n(n-1)(n-2)\cdots2\cdot1\Gamma(1)$

Now,

$\Gamma(1)=\displaystyle\int_0^\infty e^{-t}\,\mathrm dt=1$

and so we're left with $\Gamma(n+1)=n!$ .

c. Using the previous result, we find $\Gamma(5)=4!=24$ .

d. If the question is asking to find $\Gamma(12)$ , then you can just use the same approach as in (c).

But if you're supposed to find $\Gamma\left(\frac12\right)$ , we have

$\displaystyle\Gamma\left(\frac12\right)=\int_0^\infty t^{-1/2}e^{-t}\,\mathrm dt$

Substitute

$u=t^{1/2}\implies u^2=t\implies 2u\,\mathrm du=\mathrm dt$

Then

$\displaystyle\Gamma\left(\frac12\right)=\int_0^\infty\frac1ue^{-u^2}(2u\,\mathrm du)=2\int_0^\infty e^{-u^2}\,\mathrm du=\frac{2\sqrt\pi}2=\sqrt\pi$

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2 years ago

Simply the expression. <br>(5.3 x 10^-1) - (4.7 x 10^-1)

Citrus2011 [14]

Answer:

0.06

Step-by-step explanation:

8 0

2 years ago

steven has a rectangular rug with a perimeter of 16 feet the width of the rug is 5 feet what is the length of the rug

Travka [436]

-- "Perimeter" means all the way around, all four sides.

-- That's two lengths and two widths.

-- So one length and one width is half of the perimeter.

-- If the perimeter is 16-ft, then one length + one width is 8-ft.

-- If the width is 5-ft, then the length is (8 - 5) = 3-ft.

4 0

3 years ago

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