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Zepler [3.9K]
2 years ago
11

determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.17, 14, 11, 8,

Mathematics
1 answer:
MArishka [77]2 years ago
6 0

The common difference of the sequence is -3 and the fifth term is 5

<h3>How to determine the common difference?</h3>

The sequence is given as:

17, 14, 11, 8....

The common difference is

d = T2 - T1

So, we have

d = 14 - 17

Evaluate

d = -3

Hence, the common difference of the sequence is -3

<h3>How to determine the fifth term?</h3>

The fifth term is calculated as:

T5 = a + 4d

Where

a = T1 = 17

d = -3

So, we have:

T5 = 17 - 4 * 3

Evaluate

T5 = 5

Hence, the fifth term is 5

<h3>How to determine the nth term?</h3>

The nth term is calculated as:

Tn = a + (n - 1)d

Hence, the nth term is Tn = a + (n - 1)d

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

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The play director spent 190 190190 hours preparing for a play. That time included attending 35 3535 rehearsals that took varying
sineoko [7]

Answer:

The equation 35x+93\frac{3}{4}=190 gives average time spent on 35 rehearsals.

Step-by-step explanation:

Please consider the complete question.

The play director spent 190 hours preparing for a play. That time included attending 35 rehearsals that took varying amounts of time and spending 93\frac{3}{4} hours on other responsibilities related to the play. What question does the equation 35x+93\frac{3}{4}=190 help answer?    

Since time spent on each rehearsal is 35 hours, so time spent on 35 rehearsals would be 35x.

93\frac{3}{4} hours is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

35x+\frac{375}{4}=190

35x=190-\frac{375}{4}

35x=\frac{760}{4}-\frac{375}{4}

35x=\frac{760-375}{4}

35x=\frac{385}{4}

35x=96.25

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

Therefore, equation 35x+93\frac{3}{4}=190 gives average time spent on 35 rehearsals.

8 0
3 years ago
A THREE DIMENSIONAL FIGURE IS SHOWN. WHICH NET REPRESENTS THE FIGURE??
densk [106]

Answer:

Top left.

Step-by-step explanation:

Fold the three squares together, then each triangle up.

3 0
3 years ago
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Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
cestrela7 [59]

Answer:

Tamara  incorrectly factored the whole expression.

Step-by-step explanation:

Note that

  • 21x=3·7·x;
  • 56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

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3 years ago
CHOOSE THE CORRECT ANSWER FROM THE BRACKET 1. The sum of 2 integers is zero. If one of them is -5, then the other is------------
Mandarinka [93]

Answer:

c) +5

Step-by-step explanation:

x + y = 0

-5 + (5) = 0

7 0
3 years ago
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PLEASE HELP WILL GIVE BRAINLIEST
Alexxandr [17]
N^2.....because this is the product of n and itself, not the sum
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