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3 years ago

What is r- 11 /3 = -7

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

5 0

I believe that The answer is r=-10

Oksanka [162]3 years ago

3 0

Wouldn't r = -10?
because you'd multiply -7 by 3, to get rid of the division.
then you'd add 11.

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3 years ago

Read 2 more answers

Find the limit, if it exists. (If an answer does not exist, enter DNE.)

gavmur [86]

Answer:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{x^2+y^2+49}+7\right)=14$

Step-by-step explanation:

to find the limit:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\dfrac{x^2+y^2}{\sqrt{x^2+y^2+49}-7}\right)$

we need to first rationalize our expression.

$\dfrac{x^2+y^2}{\sqrt{x^2+y^2+49}-7}\left(\dfrac{\sqrt{x^2+y^2+49}+7}{\sqrt{x^2+y^2+49}+7}\right)$

$\dfrac{(x^2+y^2)(\sqrt{x^2+y^2+49}+7)}{(\sqrt{x^2+y^2+49}\,)^2-7^2}$

$\dfrac{(x^2+y^2)(\sqrt{x^2+y^2+49}+7)}{(x^2+y^2)}$

$\sqrt{x^2+y^2+49}+7$

Now this is our simplified expression, we can use our limit now.

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{x^2+y^2+49}+7\right)\\\sqrt{0^2+0^2+49+7}\\7+7\\14$

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4 0

3 years ago

Use the given data to find the equation of the regression line. x 44 44 11 11 55 y 66 55 negative 1−1 negative 3−3 88 ModifyingA

Temka [501]

Answer:

$y=1.98 x -24.34$

Step-by-step explanation:

Assuming the following data

X: 44, 44, 11, 11, 55

Y: 66, 55, -1, -3, 88

We want to find a linear model $Y= mx +b$

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =44+44+11+11+55=165$

$\sum_{i=1}^n y_i =66+55-1-3+88=205$

$\sum_{i=1}^n x^2_i =7139$

$\sum_{i=1}^n y^2_i =15135$

$\sum_{i=1}^n x_i y_i =10120$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=7139-\frac{165^2}{5}=1694$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=10120-\frac{165*205}{5}=3355$

And the slope would be:

$m=\frac{3355}{1694}=1.98$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{165}{5}=33$

$\bar y= \frac{\sum y_i}{n}=\frac{205}{5}=41$

And we can find the intercept using this:

$b=\bar y -m \bar x=41-(1.98*33)=-24.34$

So the line would be given by:

$y=1.98 x -24.34$

4 0

3 years ago

Answer fast, please

svetoff [14.1K]

Answer:

Step-by-step explanation:

L=3w/2

P=2l+2w

3w+2w=5w

Please mark as Brainliest! :)

Have a nice day.

3 0

3 years ago