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makvit [3.9K]
3 years ago
15

Round 47,397 to the nearest ten

Mathematics
2 answers:
oee [108]3 years ago
6 0
47,400..................
Vlad [161]3 years ago
5 0
The answer is 47,400
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A circle with radius r is inscribed inside a square with a side length s. Use 3.14 for TT. Round answers to the nearest hundredt
Kamila [148]

Answer:

Step-by-step explanation:

Area of circle =πr²  and r = s/2

Area of the shaded region = area of square - area of the circle

A = s² + πr²  

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What is the Domain of the graph?, and What is the Range of the graph ? ​
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Answer:

Domain is 0-12 and the range is 0-10

Step-by-step explanation:

The domain is the x values and the range is the y values

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The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200
arlik [135]

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300 < d < 700

Step-by-step explanation:

on edgenuity 2020

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3 years ago
Let φ(x, y) = arctan (y/x) .
Alexandra [31]

Answer:

a) \large F(x,y)=(-\frac{y}{x^2+y^2},\frac{x}{x^2+y^2})

b) \large \mathbb{R}^2-\{(0,0)\}

c) the points of the form (x, -x) for x≠0

Step-by-step explanation:

a)

If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be

\large F(x,y)=(\frac{\partial \phi}{\partial x},\frac{\partial \phi}{\partial y})

On one hand we have,

\large \frac{\partial \phi}{\partial x}=\frac{\partial arctan(y/x)}{\partial x}=\frac{-y/x^2}{1+(y/x)^2}=-\frac{y/x^2}{1+y^2/x^2}=\\\\=-\frac{y/x^2}{(x^2+y^2)/x^2}=-\frac{y}{x^2+y^2}

On the other hand,

\large \frac{\partial \phi}{\partial y}=\frac{\partial arctan(y/x)}{\partial y}=\frac{1/x}{1+(y/x)^2}=\frac{1/x}{1+y^2/x^2}=\\\\=\frac{1/x}{(x^2+y^2)/x^2}=\frac{x}{x^2+y^2}

So

\large F(x,y)=(-\frac{y}{x^2+y^2},\frac{x}{x^2+y^2})

b)

The domain of definition of F is  

\large \mathbb{R}^2-\{(0,0)\}

i.e., all the plane X-Y except the (0,0)

c)

Here we want to find all the points such that

\large (-\frac{y}{x^2+y^2},\frac{x}{x^2+y^2})=(k,k)

where k is a real number other than 0.

But this means

\large -\frac{y}{x^2+y^2}=\frac{x}{x^2+y^2}\Rightarrow y=-x

So, all the points in the line y = -x except (0,0) are parallel to the vector field F, that is, the points (x, -x) with x≠ 0

8 0
3 years ago
73,890 and 100 and expanded form
Elden [556K]
73,980=70,000+3,000+800+90+0

100=100+00+0
4 0
3 years ago
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