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Brums [2.3K]
3 years ago
11

g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re

sults imply that every set of 6 people includes two uniform three-person groups.
Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

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Find the slope of the line that passes through these two points: (- 1, 0) and (4, - 2) .
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What is the exponents <br>​
zmey [24]
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3 years ago
Can someone help me will mark brainlist
Nana76 [90]

Answer:

D) -4, 0

Step-by-step explanation:

find common difference.

the common difference appears to be +4 as you must add 4 to -12 to get to -8

now we find the missing terms.

the previous term of the first missing term is -8

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5 0
2 years ago
Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be
m_a_m_a [10]

Answer:

6.82 mt^3/min

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

V=\frac{\pi R^2h}{3}

So, the volume of water when it is 1 meter high is

V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is 0.3071\;mt^3

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 mt^3/min

This speed equals the difference between the water being pumped and the water leaking,

So,  

<em>0.12 = Speed of water being pumped -6.8  </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 mt^3/min

8 0
3 years ago
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