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True [87]
3 years ago
9

If a figure is translated with the rule T<-5, 3>, which translation moves the image back to the original position?

Geography
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

T<5,-3>

Explanation:

If a figure is translated with the rule T<-5, 3>, then it is translated 5 units left and 3 units up.

In order to move the figure back to its original position, we must shift the figure to the right 5 units, and then shift down 3 units.

Therefore the translation that moves the image back to its original position is T<5,-3>

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Organic materials (such as food scraps and yard waste) in landfills can decompose and produce landfill gas ( LFG ) over time. Ab
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Based on the data provided:

  • LFG is used to produce electricity by using it as fuel in combustion turbines
  • the Puente Hills Landfill will emit 1.94 * 10¹⁰ cubic feet of LFG per year
  • 9.7 * 10¹⁰ cubic feet of methane is prevented from entering the atmosphere.
  • the number of households that can have their total electricity needs provided by these landfills is 1,368,925 households.

<h3>What is the process of electricity generation from LFG?</h3>

Landfill gas, LFG can be used to generate electricity.

It contains 50% methane which is used as fuel for energy generation.

The process of generating electricity from LFG is as follows:

  • It is processed to produce methane.
  • The methane produced is combined with natural gas
  • The mixture is used as fuel for combustion turbines which then drives energy generation.

<h3>How much LFG is emitted at the Puente Hills Landfill per year?</h3>

From the data given:

ii) 1 million tons of landfill emits  432,000 cubic feet of LFG per day

123 million tons of landfill waste will emit 123000000 * 432000/1000000 cubic feet of LFG per day

The Puente Hills Landfill will emit 53136000 cubic feet of LFG per day

1 year = 365.25 days

Amount of LFG emitted in 1 year = 53136000 * 365.25 cubic feet of LFG per day

Amount of LFG emitted in 1 year = 1.94 * 10¹⁰ cubic feet of LFG per year

Therefore, the Puente Hills Landfill will emit 1.94 * 10¹⁰ cubic feet of LFG per year

<h3>What is the amount of methane prevented from entering the atmosphere by burning LFG to produce electricity at the Puente Hills Landfill over a 10-year period?</h3>

Volume of LFG produced in Puente Hills Landfill in 10 years is calculated below:

1.94 * 10¹⁰ cubic feet of LFG per year * 10 years = 1.94 * 10¹¹ cubic feet of LFG

Volume of methane in 1.94 * 10¹¹ cubic feet of LFG = 1.94 * 10¹¹ * 50% Volume of methane in 1.94 * 10¹¹ cubic feet of LFG = 9.7 * 10¹⁰ cubic feet of LFG

Therefore, 9.7 * 10¹⁰ cubic feet of methane is prevented from entering the atmosphere.

<h3>How many households can have their total electricity needs provided by these landfills in the United States?</h3>

Average yearly household electricity need = 30 kWh * 365.25 days

Average yearly household electricity need = 10957.5 kWh per year

Number of households = total electricity from LFG / average household electricity use per year

Number of households = 15000000000/10957.5

Number of households = 1,368,925 households

Therefore, the number of households that can have their total electricity needs provided by these landfills is 1,368,925 households.

Learn more about LFG and electricity generation at: brainly.com/question/14391018

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