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Arisa [49]
3 years ago
12

Check my first two question, what am I missing?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

  1. Node G has the highest degree (6), hence is the most central. Node B has the second highest degree (5), so is one of the most central. (You have also added nodes with degrees 4 and 3. I might not.)
  2. Node F has the same structure as Node D. (Your answer agrees.)
  3. See the right-most column of the attachment.

Step-by-step explanation:

1. Only one "actor" (G) has the highest degree, 6. That corresponds to selection E. Whether you include other actors in your list of "most central" depends on your interpretation of that term. My interpretation is that only the node with highest degree is of interest here.

2. Node that are structurally equivalent are ones with the same set of neighbors. Nodes D and F both have E and G as neighbors, so are structurally equivalent. Selection A is appropriate.

3. The problem seems to be to list the neighbors and add their degrees for any given actor. The attachment does that. The measure C(x) is listed in the rightmost column for each actor x listed in the leftmost column.

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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
Find a vector equation and parametric equations for the line through the point (1,0,6) and perpendicular to the plane x+3y+z=5.
tester [92]

The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.

Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:

(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)

This is the vector equation; getting the parametric form is just a matter of delineating

<em>x</em>(<em>t</em>) = 1 + <em>t</em>

<em>y</em>(<em>t</em>) = 3<em>t</em>

<em>z</em>(<em>t</em>) = 6 + <em>t</em>

5 0
3 years ago
−3 = −6 + 9<br> 2 + 4 = 12 can anybody help me with this ?
Ahat [919]

Answer:behave e is

Step-by-step explanation:

5 0
3 years ago
The sum of two numbers is 41. The larger number is one more than four times the smaller number. What are the numbers?
EleoNora [17]

Answer:

8+ 33

Step-by-step explanation:

8+33=41

8 (the smaller number) times 4 equals 32.

The number 33 is one more than 32.

Hope this helps!

4 0
3 years ago
Can three line segments with the given lengths form a right triangle?
musickatia [10]

Answer:

Yes

12, 35, 37

16, 30, 34

20, 21, 29

No

18, 24, 42

Step-by-step explanation:

Required

Determine which length form a right triangle

To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths

So:

(1) 12, 35, 37 --- Yes

37^2 = 35^2 + 12^2

1369 = 1225 + 144

1369 = 1369

(2) 16, 30, 34 --- Yes

34^2 = 16^2 + 30^2

1156 = 256 + 900

1156 = 1156

(3) 18, 24, 42 --- No

42^2 =18^2 + 24^2

1764 =324 + 576

1764 =900

1764 \ne 900

(4) 20, 21, 29 -- Yes

29^2 = 20^2 + 21^2

841= 400 + 441

841= 841

3 0
2 years ago
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