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jok3333 [9.3K]
2 years ago
14

13)

Mathematics
1 answer:
Law Incorporation [45]2 years ago
5 0

The Domain (x-values and independent variable) would be the time of day

The Range (y-values and dependent variable) would be the amount of people in a movie theater

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PLS HELP
Anika [276]

The chairs in the auditorium illustrates an arithmetic sequence

  • The recursive rule is:  an = an-1 + 8; a1 = 26
  • The explicit rule is:  an = 18 + 8n
  • There are 74 seats in the 7th row
  • 840 chairs can fit the auditorium

<h3>The recursive rule</h3>

From the question, we have the following sequence:

Seats: 18, 26, 34

Rewrite as:

26 = 18 + 8

34 = 26 + 8

The above means that:

The number of seats on a row is 8 added to the the number of seats on the previous row.

Hence, the recursive rule is:

an = an-1 + 8; a1 = 26

<h3>The explicit rule</h3>

In (a), we have:

a1 = 26 and d = 8

The explicit rule is calculated using:

an = a1 + (n -1) * d

This gives

an = 26 + (n - 1) * 8

Expand

an = 26 - 8 + 8n

Evaluate the difference

an = 18 + 8n

Hence, the explicit rule is:

an = 18 + 8n

<h3>The number of seats in the row 7</h3>

This means that n = 7.

So, we  have:

a7 = 18 + 8 * 7 = 74

Hence, there are 74 seats in the 7th row

<h3>The sigma notation</h3>

We have the maximum number of rows to be 12.

So, the sigma notation would be:

\sum\limits^{12}_{n=1} {18 + 8n}

The total number of seats is:

Sn = n/2(2a + (n -1) * d)

This gives

S12 = 12/2(2 * 26 + (12 -1) * 8)

S12 = 840

Hence, 840 chairs can fit the auditorium

Read more about arithmetic sequence at:

brainly.com/question/6561461

7 0
2 years ago
20,10,5, ...<br> Find the 9th term.
iren [92.7K]

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

6 0
2 years ago
What does the median do in a box plot
iogann1982 [59]

Answer:

the median marks the middle or the mid-point of the data and is often shown by the line that divides the box into two parts.

Step-by-step explanation:

hope this helps:)

6 0
3 years ago
Read 2 more answers
Evaluate 10 + 8÷4 - 12
Kryger [21]

Answer:

0

Step-by-step explanation:

evaluate 10 + (8÷4) - 12

3 0
1 year ago
Read 2 more answers
Is 3.098 less then 3.089
VashaNatasha [74]
No, because 9 > 8, and 3.098 is > 3.089
8 0
3 years ago
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