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natulia [17]
4 years ago
7

Finish a table of An object that travels a constant rate of 3/4 in 6 minutes starting with a time of 1/10

Mathematics
1 answer:
garri49 [273]4 years ago
6 0

Answer:

the constant rate is 0.125 every minute

Step-by-step explanation:

you change the 3/4 into .75 and divide the .75 by 6 and you will get 0.125 and that is the unit rate

i don't really know what to do with the 1/10 sorry but i hope the first part helps

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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
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Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

T_2 = 8

T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

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T_1 = 5

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n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

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T_{10} = 32

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

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