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Leni [432]
2 years ago
15

What is 2.664 rounded to the nearest whole number?

Mathematics
1 answer:
irakobra [83]2 years ago
7 0

Answer:

3

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
4 0
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

3 0
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

7 0
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
Read 2 more answers
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