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Anni [7]
3 years ago
9

What is the 72nd term of arithmetic sequence-27,-11,5

Mathematics
2 answers:
otez555 [7]3 years ago
7 0

Answer:

1109

Step-by-step explanation:

you can subtract the terms to see the difference between them

-11-(-27)=16

The sequence is increasing by 16

you can plug that 16 in the formula for d

a_n=a_1+(n-1)d

a_n=a_1+(n-1)16

n represents the term you want to find in this case the 72nd

a sub 1 is the first term of the sequence in this case -27

a_72=-27+(72-1)16

a_72=-27+(71)16

a_72=-27+1136

a_72=1109

irinina [24]3 years ago
6 0

Answer:

1109.

Step-by-step explanation:

The common difference  is -11 - (-27) = 16  (also 5 - -11 = -16)

72nd term = a1 + d(n -1)

= -27 + 16(71)

= 1109.

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Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

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550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

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<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

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8 0
3 years ago
Divide the sum of 3/8 and -5/12 by the reciprocal of 16/27 x(-15)/8
Travka [436]

Answer:

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That is

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The common denominator is 24

We get

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Next reverse -10/9

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Change the sign to (×) and reverse the second fraction

We get

-1/24 × -10/9

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3 years ago
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Answer:

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Step-by-step explanation:

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