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olga nikolaevna [1]
3 years ago
8

For model 5, the tip of the blade travels 0.18 mile per revolution. What is the approximate speed, in revolutions per minute,for

model 5?

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0

need the answer tooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo


IgorC [24]3 years ago
3 0

Answer:

approximate speed would be 19 revolutions per minute.

Step-by-step explanation:

For model 5, blade length = 148 feet

Maximum blade tip speed = 200 miles per hour

tip of the blade travels per revolution = 0.18 mile

Number of revolutions per hour = \frac{200}{0.18} = 1,111

To get speed per minute, divide by 1 minute ( 60 seconds ).

\frac{1,111}{60} = 18.51 ≈ 19 revolutions per minute.

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Does this graph have a proportional relationship? Explain how you know.
Slav-nsk [51]

Answer:

yes, straight line crosses through the origin. x increases and y increases.

7 0
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
What is the opposite of 12.1
nikklg [1K]
The opposite of 12.1 is 12.2
8 0
3 years ago
Read 2 more answers
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
inn [45]

Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = 132/11

k = 12

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

Thus, 168 inches is your answer! :)

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
The 100th term of ​ 70, 100, 130
fgiga [73]

Answer:

3040

Step-by-step explanation:

given arithmetic progression is

70,100,130,...

here

first term (a)=70

common difference (d)=100-70=30

number of term n=100

using the formula of arithmetic progression

an=a+(n-1)d

a100=70+(100-1)30

a100=70+99×30

a100=70+2970

a100=3040

6 0
2 years ago
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