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ZanzabumX [31]
2 years ago
14

Jennifer is saving money to buy a bike. The bike costs $239. She has $127 saved, and each week she adds

Mathematics
2 answers:
Simora [160]2 years ago
6 0

Answer: 7 weeks

Step-by-step explanation:

16X + 127 = 239

16X = 239 - 127

16X = 112

X = 112/16

X = 7

melisa1 [442]2 years ago
3 0
7 weeks. Total cost is 239 minus 127 she has saved leaves 112 more she needs to save. 112 divided by 16 a week is 7 weeks until she has enough money.
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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

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3 years ago
What's 3 copies of 2 tenths
schepotkina [342]
Multiply 2/10 by 3/1 and you should end up with 6/10
8 0
3 years ago
What is the area of this circle in terms of pi? <br> Radius=4cm
Dmitriy789 [7]

Answer:

A≈50.27cm²

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What's the easiest way to answer how I know the answer pls?​
-BARSIC- [3]
Answer: Table C

Explanation: The X values match up with those on the graph!
4 0
2 years ago
Please help<br><br>answer choices are:<br><br>A. 46°<br><br>B. 67°<br><br>C. 115°<br><br>D. 134°​
bekas [8.4K]

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC .  Congruent angles

∠XAC = 1/2(46) = 23° .  because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° .  Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
2 years ago
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