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2 years ago

Which 2 square numbers make a difference of 51

Mathematics

1 answer:

insens350 [35]2 years ago

5 0

100 and 49 make a difference of 51.

100 - 49 = 51

10 x 10 = 100
7 x 7 = 49

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46. Order these numbers from least to greatest:<br> 1/2, 0.4, 1/3, 1/5

e-lub [12.9K]

Answer:

1/5, 1/3, 0.4, 1/2

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.33

1/2 = 0.5

4 0

1 year ago

4. Find the range of the data set: 3, 21, 17, 17, 34, 22, 26<br><br>Please help

Anna007 [38]

Answer:

Step-by-step explanation:

The Range is the difference between the lowest and highest values (3, 34)

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2 years ago

Read 2 more answers

1.) if a person weighs 160 pounds, what is his mass in kilograms

Stella [2.4K]

Answer:

72.56

Step-by-step explanation:

Divide the number of pounds by 2.205

160/2.205 = 72.56

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2 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

2 years ago

Estimate the product by rounding to the nearest

Natasha2012 [34]

8000x 51000 = 408000000

4 0

2 years ago