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lys-0071 [83]
3 years ago
8

Show that if the first 10 positive integers 1,2,3,···,10 are placed around a circle, in any order,there exists three integers in

consecutive locations around the circle that have a sum greater thanor equal to 17. Is your proof constructive or non-constructive ?
Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:

Let A1=a1+a2+a3, A2=a2+a3+a4, and so on, A10=a10+a1+a2. Then A1+A2+⋯+A10=3(a1+a2+⋯+a10)=(3)(55)=165, so some Ai≥165/10=16.5, so some Ai≥17.

Step-by-step explanation:

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How do I simply 35 over 48?
Gekata [30.6K]

\frac{35}{48}  = 0.7292

The fraction is already in its simplest form, can not be further simplified

5 0
3 years ago
A computer company will sell its new tablet
sineoko [7]
Answer: J

Explanation: J is equivalent to $640.65

hope that helps if you have any questions let me know and if you could mark this as brainliest i would really appreciate it!!
3 0
3 years ago
85,146 rounded to the nearest thousand
larisa [96]
85,000 is your answer because The one in 146 is less then five
4 0
3 years ago
Read 2 more answers
The entire graph of the function g is shown in the figure below.
marusya05 [52]

The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

x = -4 (closed circle)

x =4 (open circle)

This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

y = -5 (closed circle)

y = 2 (open circle)

This means that the range of the function is [-5, 2)

Read more about domain and range at:

brainly.com/question/10197594

#SPJ1

7 0
2 years ago
What is i^84? a) -i b) i c) -1 d) 1
mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0
4 years ago
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