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elena55 [62]
3 years ago
6

If it takes two people 60 hours to build a fence how long will it take three people to do the same job

Mathematics
1 answer:
arlik [135]3 years ago
3 0
It realistically could be any number based on the person but the most likely answer is 40 hours.
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(story problem) Michael and Sally went to get ice cream after school. each of them brought an ice cream for $3.55, a bottle of w
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Write the equation in vertex form for the parabola with focus (7, –27/4) and directrix y= – 13/4
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Answer:

x2 +8x +4y +4 = 0

4y= -x2 -8x -4y = -.25*x^2 -2x -1

a = -.25b = -2c = -1

x position of vertex:

h = -b / 2a

h = 2 / 2*-.25h = 2 / -.5h = -4

y position of vertex:

k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3

VERTEX = (-4, 3)*

x value of focus =x value of vertex = -4

y value of focus =(1 (-b^2 -4ac)) / 4a

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y value = (1 (-4 -4*-.25*-1)) / 4*-.25

y value = (1 (-4 -4*-.25*-1)) / -1

y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2

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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)

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\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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