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## The graph of y = x2 is shown below. If graphed on the same grid, which of the following could be the graph of y = 0.4×2?

1)  The answer is: [B]: r = 5 .
__________________________
Explanation:
__________________________
Given: 7r − 7 = 2r + 18 ; Round your answer to the nearest tenth, if necessary.
____________________________
Since “r” is the only variable given, let us assume we want to solve for “r” (instead of “x”).
___________________________
→ Subtract “2r” from EACH SIDE of the equation; and & add “7” to EACH SIDE of the equation:
_____________
→ 7r − 7 − 2r + 7 = 2r + 18 − 2r + 7 ;  to get: → 5r = 25 ;
_____________
→ Now, divide EACH SIDE of the equation by “5”; to isolate “r” on one side of the equation; and to solve for “r” :
______________
→ 5r / 5 = 25 / 5 → r = 5 → which is: “Answer choice: [B]”.
_________________
Let us check our answer, by plugging in “5” for “r” in the original equation:
_________________
→ 7r − 7 = 2r + 18 ;  →  7(5) − 7 =? 2(5) + 18? ;
______________________
→ 35 − 7 =? 10 + 18 ?;     → 28 =? 28? Yes!
______________________
2) The answer is: [D]: x = 2 .
_____________
Explanation:
_____________
Given: 2x + 12 = 18 − x ; Solve for “x” (round to nearest tenth, if necessary).
_______________
→ Add “x” to EACH SIDE of the equation, & subtract “12” from EACH SIDE of the equation:  → 2x + 12 + x − 12 = 18 − x + x − 12 ;
______________
→ To get: 3x = 6 ;  → Divide EACH SIDE of the equation by “3”;
to isolate “x” on one side of the equation; and to solve for “x”:
_____________
→ 3x / 3 = 6 / 3 ; → x = 2 ; which is: “Answer choice: [D]”.
______________
Let us check our answer, by plugging in “2” for “x” in the original equation:
________________
→ 2x + 12 = 18 − x ; → 2(2) + 12 =? 18 − 2 ?
________________
→ 4 + 12 =? 18 − 2 ? ;   → 16 =? 16?  Yes!
________________________________
3)  The answer is: [A]: x = -3 .
_____________
Explanation:
________________
Given:  8x − 3 = 15x + 18 ; Solve for “x”. Round your answer to the nearest tenth, if necessary.
_________________
→ Subtract “8x” from EACH SIDE of the equation, & add “3” to EACH SIDE of the equation:
_______________
→ 8x − 3 − 8x + 3 = 15x + 18 − 8x + 3 ; to get:
_______________
→ 0 = 7x + 21 ; → Subtract “21” from EACH SIDE of the equation;
_______________
→ 0 − 21 = 7x + 21 − 21 ; to get:
_______________
→  -21 = 7x ; Now divide EACH SIDE of the equation by “7”;
to isolate “x” on one side of the equation; & to solve for “x”:
_______________
→ = -21 / 7 = 7x / 7 ; →  -3 = x ; which is “Answer choice: [A].”
_________________
Let us check our answer, by plugging in “-3” for “x” in the original equation:
________________
→  8x − 3 = 15x + 18 ;  → 8(-3) − 3 =?  15(-3) + 18 ?;
________________________
→ -24 − 3 =?  -45 + 18 ? ;   →  -27 =? -27?  Yes!
___________________________
4)  The answer is: [C]: y = 11 .
_____________
Explanation:
____________
Given: 6y − 6 = 4y + 16 ; Solve for “y”; Round to the nearest tenth, if necessary.
____________
(Note: Since “y” is the only variable given; assume we are to solve for “y” instead of “x”).
____________
→ Subtract “4y” from EACH SIDE of the equation, & add “6” to EACH SIDE of the equation; → 6y − 6 − 4y + 6 = 4y + 16 − 4y + 6 ; to get:
_______________
→ 2y  = 22 ; Now, divide EACH SIDE of the equation by “2”; to isolate “y” one side of the equation; and to solve for “y” ;
_______________
→ 2y / 2 = 22 / 2 ; →  y = 11 → which is “Answer choice: [C]”.
_______________________________
Let us check our answer, by plugging in “11” for “y” in the original equation:
___________________
→  6y − 6 = 4y + 16 ; → 6(11) − 6 =? 4(11) + 16 ?
_______________________
→ 66 − 6  =? 44 + 16 ?  → 60 =? 60 ?  Yes!
__________________
5)  The answer is: [B]: x = -11 .
_____________________
Explanation:
_________________
Given: 3(x − 4) = 5(x + 2) ; Solve for “x”. Round to the nearest tenth, if necessary.
___________
→Note the “distributive property of multiplication”:
_____________
a*(b + c) = ab + ac ;  and: a*(b − c) = ab − ac ;
_______________
→ Let us expand EACH SIDE of our given equation.
____________
3(x − 4) = (3*x)  − (3*4) = 3x − 12;
______________________________
→Now let us expand the “right-hand side” of the given equation:
____________
→  5(x + 2) = (5*x) + (5*2) = 5x + 10 ;
______________
→Now, we can rewrite the original equation:
_______________
→ 3(x − 4) = 5(x + 2) ; by substituting the expanded values for EACH SIDE of the question:   →  3x − 12 = 5x + 10 ;
__________________
→ Subtract “3x” from EACH SIDE of the equation; and add “12” to EACH SIDE of the equation: →  3x − 12 − 3x + 12 = 5x + 10 − 3x + 12 ; to get:
________________
→  0 = 2x + 22;  → Now subtract “22” from EACH SIDE of the equation:
______________
→  0 − 22 = 2x + 22 − 22 ; to get:  →  -22 = 2x ;
__________
→ Divide EACH SIDE of the equation by “2”; to isolate “x” on one side of the equation; & to solve for “x” ;
_____________
→  -22 / 2 = 2x /2 ;  →  -11 = x ; which is “Answer choice: [B]”.
______________
Let us check our answer, by plugging in “-11” for “x” in the original equation:
___________
→ 3(x − 4) = 5(x + 2) ; →  3(-11 − 4) =? 5(-11 + 2) ? ;
_______________________
→3(-15) =? 5(-9) ? ; → -45 =? -45 ?  Yes!
_____________________________________________

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## Triangle PQR is transformed to similar triangle P’Q’R’. A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 4, 4, Q at ordered pair 8, 4, R at ordered pair 4 and 8. A polygon P prime Q prime R prime has P prime at ordered pair 1,1, Q prime at ordered pair 2,1, R prime at ordered pair 1, 2. What is the scale factor of dilation?

The length of the legs, PQ and PR are 4 units.
The lengths of the legs, P’Q’ and P’R’ are 1 unit.
Since the legs (and triangle) got smaller we know that the scale factor is between 0 and 1.
So.. 4 * x = 1
divide both sides by 4
x = 1/4
The scale factor is 1/4

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## 23. A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?

23. A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?

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## (20 pts) What is the range of the relation? Coordinate grid with labeled points at (negative one, negative two), (negative four, negative three), (negative two, zero), (two, two) A. {–4, 4} B. {–4, –2, –1, 0, –2} C. {–3, –2, 0, 2} D. {–4, –2,–1, 2}

(20 pts) What is the range of the relation? Coordinate grid with labeled points at (negative one, negative two), (negative four, negative three), (negative two, zero), (two, two) A. {–4, 4} B. {–4, –2, –1, 0, –2} C. {–3, –2, 0, 2} D. {–4, –2,–1, 2}

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## ?__________ is the term that describes devices that automate many industrial tasks by receiving digital commands and converting them into real-world actions such as shutting down a power grid or opening a valve in a fuel pipeline.

Remote terminal units (RTUs) is the term that describes devices that automate many industrial tasks by receiving digital commands and converting them into real-world actions such as shutting down a power grid or opening a valve in a fuel pipeline. RTUs are the essential part of an intelligent power grid, also called smart grid, but also intelligent production system.

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## What is the distance between (–6, 2) and (8, 10) on a coordinate grid?

What is the distance between (–6, 2) and (8, 10) on a coordinate grid?

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## A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). One bag of mulch covers 5ft2 and costs \$5.00. How much will it cost her to cover her garden?

A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). One bag of mulch covers 5ft2 and costs \$5.00. How much will it cost her to cover her garden?

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## Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result? A:Those two vendors charge the same rate per shirt. B:Those two vendors charge the same flat rate for artwork. C:Those two vendors will have the same total cost to produce one shirt. D:Those two vendors will charge the same total cost for any size job.

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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## Which equation does the graph below represent? A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. A line is shown passing through the ordered pairs negative 4, 12 and 0, 0 and 4, negative 12. y = fraction negative 1 over 3x y = −3x y = 3x y = fraction 1 over 3x

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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## (02.02 MC) Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: Figure 1 is at (5, 8) (4, 4) (6, 2) (7, 6) . Figure 2 is at (-5, -2) (-7, -4) (-4, -6) (-6, -8) . Which two transformations can map figure 1 onto figure 2? (6 points) A) Reflection across the y-axis, followed by translation 10 units down B) Reflection across the y-axis, followed by reflection across x-axis C) Reflection across the x-axis, followed by reflection across y-axis D) Translation 11 units left, followed by translation 10 units down

(02.02 MC) Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: Figure 1 is at (5, 8) (4, 4) (6, 2) (7, 6) . Figure 2 is at (-5, -2) (-7, -4) (-4, -6) (-6, -8) . Which two transformations can map figure 1 onto figure 2? (6 points) A) Reflection across the y-axis, followed by translation 10 units down B) Reflection across the y-axis, followed by reflection across x-axis C) Reflection across the x-axis, followed by reflection across y-axis D) Translation 11 units left, followed by translation 10 units down

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## Rectangle J’K’L’M’ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV, as shown below: What will be the location of T’ in the image trapezoid S’T’U’V’? (12, 6) (12, 7) (16, 7) (16, 6)

Answer:  The measure of an acute base angle of the trapezoid BPQC is 77°.

Step-by-step explanation:  As given in the question, the isosceles trapezoid BPQC is a part of the isosceles triangle ABC with same base BC. And, the vertex angle, m∠A = 26°.

We are to find the measure of an acute base angle of the trapezoid. That is, measure of angle B or angle C.

Since ΔABC is an isosceles triangle, so Now, using the angles sum property of a triangle, we have So, m∠B = m∠C = 77°.

Thus, the measure of an acute base angle of the trapezoid BPQC is 77°.

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## Triangle RST is dilated to create triangle UVW on a coordinate grid. You are given that angle T is congruent to angle W. What other information is required to prove that the two triangles are similar? please help!!!! A. Segments RS and UV are congruent. B. Angle S is congruent to angle V C. Segment RT is congruent to segment UW, and segment ST is congruent to segment VW D. Angle S is congruent to angle U

From (0, 0), the points A and D are at (-1, -1) and (2, -1) respectively.

Since the scale factor is 2, every point will be moved twice a distance in both directions. (x and y).

So, multiplying both coordinates by 2, we will get the dilated points.

Hence, A’ will be at (2 × (-1), 2 × (-1)) = (-2, -2)

D’ will be at (2 × 2, 2 × (-1)) = (4, -2).

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## What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you. A. 6 units × 3 units B. 7 units × 4 units C. 10 units × 4 units D. 14 units × 8 units

Gven that a
district manager rewards sales teams based on overall sales generated
in a month and that the data for earnings are shown in the table, where Low
represents the lowest sales and High represents the highest sales
generated by a single sales team member.

Team        Low        High        Range        Mean        Median        IQR        σ
Team X    1970       2970         1200        2571.9         2684         426.3   313.8
Team Y      250         375           125          315.8           311           59        37.8
Team Z      950       1900           950        1529.9         1473         276      180.7

Part A: A data set, say X, is said to be more consistent than another data set, say Y, if data set X is less spread out than data set Y.
The range is used to determine the spread of the data. The range is calculated by subtracting the lowest data value from the highest data value.
From the data presented in the table, above, Team Y has the smallest spread (range) compaired to the other teams and hence is the most consistent team.

Therefore, if the manager wants to award the sales team that has the most consistent earnings among its team members, he should choose Team Y.

Part B: Average also known as mean is a measure of central tendency which measure the center of a given dataset be taking the sum of the dataset and dividing the result by the number of the dataset.

From the data presented in the table above, the team with the highest mean is Team X with a mean of 2571.9 compared to a mean of 1529.9 of Team Z and 315.8 of Team Y.

Therefore, if the manager wants to award the sales team with the highest average earnings, it should choose Team X.

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## A shoe store owner is designing the layout of the displays in his store. The floor area for the store is 1,600 square feet. The owner wants to have circular displays for the shoes, each with a radius of 6 feet, and a 48-square-foot rectangular cashier’s station in the corner. Customers should be able to easily walk around the shoe displays, so there must be at least a 4-foot walkway around each. The owner started drawing the layout shown. The distance between grid lines is 4 feet. Which statement about the possible designs is true, given the owner’s requirements? Three circular displays can be placed in one row, exactly as shown on the given grid. Two circular displays can be placed so they are each the same distance from the cashier’s station. The maximum number of circular displays that can be used is 4. The maximum number of circular displays that can be used is 5.

\$2.43 per gallon of gas.

Step-by-step explanation:

We have been given that the amount of money it takes to fill up a gas tank varies directly with the number of gallons bought.

We know that the equation for two directly proportional quantities is in form: , where,

k = The constant of variation and y is directly proportional to x.

To find the constant of variation for our given equation, we will substitute the given values in above equation as: Let us divide both sides of our equation by 9 gallons.  Therefore, the constant of variation is \$2.43 per gallon of gas.

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## A garage floor measures 150 feet by 120 feet. A scale drawing of the floor on grid paper uses a scale of one unit 15 feet what are the dimensions of the drawing

A garage floor measures 150 feet by 120 feet. A scale drawing of the floor on grid paper uses a scale of one unit 15 feet what are the dimensions of the drawing

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## When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image? answers: The angles remain the same, and the shape of the figure changes. The side lengths remain the same, and the orientation of the figure changes. The angles remain the same, and the size of the figure changes. The side lengths remain the same, and the position of the figure changes.

Step-by-step explanation:

Given: ABCD ≅ GHIJ and BCDA ≅ RSTU such that GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm

As ABCD ≅ GHIJ

then its corresponding sides should be equal.[∵corresponding parts of congruent figures are equal]

i.e. AB=GH=6 cm, BC=HI=8 cm, CD=IJ=10cm , AD=GJ=9cm…………..(1)

Now ,also BCDA ≅ RSTU then

BC=RS=8 cm, CD=ST=10 cm, DA=TU=9 cm, AB=UR=6 cm………………..[from(1)]

Hence, we got ST or TS= 10 cm.

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## When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image? answers: The angles remain the same, and the shape of the figure changes. The side lengths remain the same, and the orientation of the figure changes. The angles remain the same, and the size of the figure changes. The side lengths remain the same, and the position of the figure changes.

Step-by-step explanation:

Given: ABCD ≅ GHIJ and BCDA ≅ RSTU such that GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm

As ABCD ≅ GHIJ

then its corresponding sides should be equal.[∵corresponding parts of congruent figures are equal]

i.e. AB=GH=6 cm, BC=HI=8 cm, CD=IJ=10cm , AD=GJ=9cm…………..(1)

Now ,also BCDA ≅ RSTU then

BC=RS=8 cm, CD=ST=10 cm, DA=TU=9 cm, AB=UR=6 cm………………..[from(1)]

Hence, we got ST or TS= 10 cm.

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## Smart Grid Technology and Applications

### Smart Grid Technologies

#### Introduction

Technologies are always helpful for the people on the earth. It helps in all type of fields that are connected with the human to live healthy living standards. Human in the past as everyone knows it was bound to use slow methods of working. Those methods were only handmade as well at that time. That takes a lot of time to do any work or any difficult type of work related to living styles.

In the past when there is the very low amount of energy people just have the use of sunlight. Sun was the only source of living for the crops to grow for heat and energy as well. Benjamin Franklin in 1800s invented a connection between electricity and energy from the sun. He created plates and wires to connect these energies altogether so that they can be used in industries and houses for regular use. Electricity made a life of people so easy and comfortable.

It made life’s working efficient and more progressed. Electricity not only generated by sunlight now a day it can be created easily and efficiently by water reserves and coal as well. The electricity generated by these sources also helpful for the people. It has cheaper rates as compared to electricity produced by coal and furnace oil. Sunlight electricity also called as solar energy is cheap and more resistible in use. Solar energy minimizes the cost of bills and makes people more comfortable and loyal to the use of solaria energy now a day instead of electricity created from furnace oil or coal resources. #### Smart Grid Technologies

There is a new technology invented about seven to eight years ago which is called Solar energy. This energy works on the principles of heat and power extracted from the sun. With the passage of time, new technologies have been invented to minimize the cost and to avoid the distortion problems that occur due to the use of expensive electricity by the use of consumer. Now a day with the increasing economic and financial budget problems. A consumer should provide reasonable and affordable means of electricity, which can be easily and efficiently utilized by the consumers without any cost burden.

A new technology Smart Grid technology is introduced a few years ago. Grids are the set of wires that transmit electricity from one resource to another resource. It is basically a transfer of energy between receiver and sender. It is invented in the 1960s and now it is in an improved shape and giving a lot of profit and ease to the consumers and scientists as well in providing the electricity transmission to their consumers properly and efficiently.

These electric grids can connect themselves to the millions of miles away from the main connection. Now this time this technology is so much improved that this can connect 3000,000 miles of transmission lines. It has units, which consumes and produces electricity at one place, which is about more than about 9200 in number. It also has more than 1 million of generating capacity. Now this time scientists are working on the method, which can enhance the working efficiency of a grid by increasing its connecting capacity to handle the groundswell technology dependent on it. (smartgrid.gov)

#### Context

The electrical grid named, as Smart Grids are responsible for transmission of electrical signals or molecules from building the unit to consumers place. This transmission is happened by the use of wires formed of copper usually. These wiring must be efficient and proper so that no interruption will occur in the transmission of electricity from grids. There are three main resources or components that make up a grid to possibly work these are Electricity Generation Sources, Transmission System and Distribution System.

Electricity generation sources are the sources from which electricity is generated and transmitted to the end user. These sources include copper wires, Generators, Transformers and heavy power units in which electricity is consumed and supplied to the consumers for regular use. These units had a large storage capacity that it can store a large number of electricity units in it. Electricity transmission system makes the transmission of energy smooth and efficient. Energy is transmitted in a bulk of amount at one time.

Nearly 100 K and above amount of electrical signals are transmitted at one time from powerhouses to consumers. This transmission has happened under a system, which is called SCADA systems. This system is responsible for controlling and monitoring the methods and working process of electricity making and transmission in Grids. (Mavridou, 2012)

#### Need of Smart Grid

The need for using of smart grid became necessary to fulfill the need of increasing demand of electricity with the passage of time. It increases the efficiency of using energy and controlling the usage of energy requirements. A smart grid makes produces technology resources that can generate more and more of electricity by the use of energy. It is an essential part of marinating the developmental and proper usage of Plug-In Hybrid Electric Vehicles (PHEVs) which is used for storage of electricity in the grid.

Smart meters are used in Smart grids, which save the energy for the rest of working, which reduces the expensive use of electricity by the consumers and makes them feel relax and lessen their burdens of the high amount of bills to be paid by them. The electric grid or smart grid makes the user know its usage of electricity. It makes people aware of their budget utilizing bills. This technology is not very expensive and should be improved by working on it. The labours or persons connected with the making of these grids must be encouraged and supported by incentives so that they can improve the efficiency of their working. This technology is very sensitive and caring to be performed in the field. (eesi.org, 2009p)

#### Giving Consumers Control

This technology is not just about modernism and development in electricity production methods. It is actually a process or an authority provided to you by the technology that you can keep a choice of using your energy. If a person manages his, other activities like working habits and follower a timetable to control wastage of time. Same as Gris system allowed a user to keep an eye on the usage of electricity by him/her.

The consumer can check frequently that how much energy is utilizing them. Which product is using more units of electricity so that it can be maintained? Which unit is utilizing a less quantity of units so its use can be made continues and long lasting? Now a day Smart meters are introduced by the government through which you can frequently check your usage of voltages of electricity. It also estimates the cost of electricity consumed by you so that you can control your excessive use of electricity as well as can control your bills.

Sometimes electricity becomes expensive because of any mean like increasing the prices of furnace oil or increasing the prices of coal or copper wires at the international markets. Country purchases it inexpensive rates and charges it from consumers in the form of taxes. You can when having knowledge of your users can save money or save units of electricity to avoid facing of heavy amounted bills.

#### Reactive Power, Voltage And Frequency

The Smart Grid technology is very efficient and fast. It works in the principles of affectionate working with precision and time saving methods. Smart grids use smart meters, which enhances the use of that electricity which utilizes more energy with less cost. Smart grid consumes a very large amount of energy to make low cost and effective amount of electricity. It has a high frequency of usage of voltage for the consumption of energy resources.The voltage depends on its working became very efficient and consumes less cost.

With the introduction of new technology, generation will use low-cost units with high working efficiency. People will use many small units of electricity, which costs less as compared to use one single big unit of voltage, which costs high to their meter. The consumption of electricity will be increased by the consumer at low cost. There will be provided many services in near future, which offers cost-saving tools to consumers.

There will be offered a large capacity consuming devices, which can store a large amount of voltage data at one time and at one place for future use. The voltage may fluctuate when we use a heavy machinery and runs something very heavy consuming appliance on electricity. It sometimes causes electricity failure and disturbance in the transmission of flow of electricity.  (D’hulst, 2018)

#### Post-Fault Restoration, Loss Of Generation

Restoration means storing some amount of energy or voltages for future use in time of emergency. The restoration of the network can be implemented by the use of changing the status of loops and switches of the loops so that it can meet up the demand of required voltages in the system. The current technology method is not spread after the entrance of new channel distribution in it. Meanwhile, the operation power consumption, the quantity of current passed through the copper wires and the changes in the contribution of working capacities cause changes in restoration demands for the system. By changing the places and styling of fitting of loops and switches connected to the loops, it also changes the art of working and methods of working also are changed.

It also changes the topological positions of a system in the distribution network, which results in the change in power of supply consumption and supply restoration in the system. There should be happened a change in the restoration services and improvements should be implemented in the operations reliability and working efficiency of systems working. The new generation is losing its latest methods and stamina to use those methods because of overpowered supply of some electric appliances at home and at industries as well.  (Xiaoyu, 2014)

The amount of load used by any area or any other place depends on the usage capacity of that place. If the area is commercial then there will be a continues use of heavy pieces of machinery which works on obvious electricity and utilizes many units of electricity. These heavy types of machinery are bound; you can say depends only on the consumption of high units of electricity to run. They can be made low consuming machines by changing some parts in it, which consumes high voltage of energy.

There is an option, which can utilize our energy consumption, which is a use of solar energy. This energy, which is introduced many years ago cost more just at the time of fixing. However, later it consumes the very low amount of electricity, which makes its use more efficient and relaxing for the consumer. If we talk about the electricity use in residential are then we can easily click this point that there will be a less use of electricity consumption as compared to the commercial area. With the increase in demand a load of devices on the electricity usage, this also increases the storage capacity and making of high capacity energy is also become essential to meet the needs. The less or more demands of energy voltage can be controlled by proper use of appliances and energy consuming devices so that wastage of electricity can be taken into account and it fulfills the need of technology where it is needed.

Load flow is an important tool, which is being considered by the engineers while making a plan to make the best system to run the best system in working. The exchange of power between the companies or transmitters is the essential and most prominent portion of the efficient working off-grid system. If we started doing the analysis of power flow, it will take a lot of time and energy of persons as well power flow can be controlled by using any method. The conversion of renewable resource energy into a distribution network of energy changes the entire structure of electric networking.

The issues are many such as improper wiring may be implemented in the system, which can cause interruption and distortion in the flow of electricity among the wires. It causes a disturbance in energy transmission as well. Second, one may be the disturbance in weather sometimes weather disturbs so much the working efficiency of energy flow which causes problems in working. Sometimes due to water, entrance in the system there may be happened a spark in the system, which damages a lot of part of a system and in result failure, happened in the system and load became doubled at one place or at different places. This issue can be resolved by taking precautionary measures in this field of work. Ravadanegha), 2015

#### Smart Meter Connectivity

Now with the passage of time and with the increase in the technology there comes the smart meters, which are cost-effective and consumes less energy also saves the time and measurements of reading of consumers. Smart meters can measure energy more efficiently and precisely and also consumes less energy. The smart meters connected with solar plates are very efficient and applicable in many ways easily and accurately.

Now a day people are moving to insert smart panels with solar plates especially in their houses. It saves many costs on bills in-house. Thus makes money save for further uses. This system is also implemented now a day by industries also adapting this solar systems energy use because it is cost minimizing and timesaving as well. An estimate says that it saves on a yearly basis up to 40 billion-energy cost all over the world. It is a long time investment for the households and as well as for industry users.

Smart meters along with solar energy are easy to apply and easy to emit out if you did not satisfied with the use of it. Millions of people now a day using this system and making them satisfied with this. (Ingrams, 2017)

#### Synopsis

The overall scenario of this report states that the use of Smart Grid systems along with solar energy a renewable energy is very useful and efficient. It saves a lot of time and energy consumption as well. People have gained trust in this system. This system makes the use of them easy and trustful. The proper wiring helps in proper transmission of energy, keeps the flow proper, and smooth as well. The improper connection between wires, which are mostly used, made of copper causes electricity failure and damage as well. The damage caused by electricity can become very dangerous and time taking as well which causes trouble in people’s life.

##### References
• D’hulst, R. (2018, February 09). Voltage and Frequency Control for Future Power Systems: the ELECTRA IRP Proposal. Retrieved from http://orbit.dtu.dk/files/113381466/ElectraWP3_EDST_submitted2.pdf
• org. (2009, January 8). Smart Grid: How Does It Work and Why Do We Need It? Retrieved from http://www.eesi.org/briefings/view/smart-grid-how-does-it-work-and-why-do-we-need-it
• Ingrams, S. (2017, August 12). Smart meters and solar panels: what’s the sticking point? Retrieved from https://www.which.co.uk/news/2017/08/smart-meters-and-solar-panels-whats-the-sticking-point/
• Mavridou, A. (2012, January). Block diagram of typical smart grid components and connections. Retrieved from https://www.researchgate.net/figure/Block-diagram-of-typical-smart-grid-components-and-connections_fig1_278029337
• Ravadanegha), S. N. (2015). Journal of Renewable and Sustainable Energy.