"
TECHNO ECONOMIC ANALYSIS OF A 6KW SOLAR PV PANEL with two
storage systems (i) Battery (ii) THERMAL ENERGY STORAGE SYSTEM
the load profile of the home is given below. PLEASE provide a
detailed analysis
000 UTAW Nm 0 0 A B 1 Hours Energy Consumption 2 0:00 0.45 3 1:00 0.4 4 2:00 0.4 5 3:00 0.4 6 4:00 0.4 7 5:00 0.3 8 6:00 0.3 9 7:00 0.45 10 8:00 0.65 11 9:00 0.85 12 10:00 0.95 13 11:00 0.99 14 12:001.05 15 13:00 1.1 16 14:00 1.2 17 15:00 1.3 18 16:00 1.9 19 17:00 2.16 20 18:00 2.2 21 19:00 2.15 22 20:00 1.95 23 21:00 1.9 24 22:00 1.8 25 23:00 1.45 26 26.7 27 Daily Energy Consumption (kWh)= 26.728 units 2.5 2 1.5 1 0.5 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 TIME

The indefinite integral of ∫55\(x^{-7}\) dx is -55/(6\(x^{6}\)) + C.

To find the indefinite integral of ∫55\(x^{-7}\) dx, we can use the logarithmic rule of integration. According to the rule, the integral of \(x^{n}\) dx, where n is not equal to -1, is given by:

∫\(x^{n}\) dx = (\(x^{n+1}\))/(n+1) + C

Applying this rule to our integral, we have:

∫55\(x^{-7}\)dx = 55∫\(x^{-7}\) dx

Using the logarithmic rule, we add 1 to the exponent (-7 + 1 = -6) and divide the result by the new exponent (-6):

= (55/\(x^{6}\)) / (-6) + C

Simplifying further:

= -55/(6\(x^{6}\)) + C

Therefore, the indefinite integral of ∫55\(x^{-7}\) dx is -55/(6\(x^{6}\)) + C, where C represents the constant of integration.

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the eigenvalues of the matrix A are:
-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i
Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that matrix A is real and symmetric.

To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A-λI)=0, where I is the identity matrix and λ is the eigenvalue.

For the given matrix A=[ 3 -4 2 1 ], the characteristic equation is:

det(A-λI) = det([ 3-λ -4 2 1 ][ λ 1 0 0 ][ 0 0 λ 1 ][ 0 0 0 λ ])

= (3-λ) [ (λ-1)(λ-1) + 8 ] + 4 [ (λ-1)(λ-1) - 2λ ] - 2 [ -4(λ-1) + 2λ ]

= λ⁴ - 7λ³+ 12λ² + 19λ - 18

Now, we need to find the roots of this polynomial to get the eigenvalues. We can do this by factoring or by using numerical methods such as Newton's method.

Using a calculator or computer, we can find that the roots of the polynomial are approximate:

λ ≈ -0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i

Therefore, the eigenvalues of the matrix A are:

-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i

Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that the matrix A is real and symmetric.

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Answer: Width = 49meters; Length = 59meters

Step-by-step explanation:

Let the width be represented by x

The length will be (x+10)

Perimeter = 2(length+breadth)

Perimeter= 2(x + x + 10)

Perimeter = 2(2x + 10)

216 = 4x + 20

4x = 216 -20

4x = 196

x = 196/4

x = 49

Width = 49meters

Length = x+10

Length = 49 + 10

Length = 59meters

Answer:

i think its distributive, sorry if it's wrong

In the given statement is:

Gravitational Force between two bodies at a distance x is given by:-

F = GmM/ x2 ; If a body of mass ' m' is revolving around the body of mass M and it's orbit is stationary then centrifugal force must be equal to the Gravitational Force i.e. Fg = mv2/x therefore FG = Fg i.e. GmM/ x2 =mv2/x; where v is the orbit motion of the orbiting body of mass.

Now, Let us understand the :

In mechanics, gravity, often known as gravitation, is the constant force of attraction occurring on all matter. It plays no part in shaping the interior features of common stuff because it is easily the weakest force known to exist in nature.

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Approximately $1,061.88 is the payment of interest that Khalid should pay today in the bank paying 7% semi-annually.

Given, Khalid wants to have BD 30000 in his account by the end of 96 months. Interest rate = 7% (semi-annually)

We have to find how much should he pay interest today in the bank. For calculating this, we have to follow the below steps:

To calculate the payment of interest, we have to use the formula of Present Value of an Annuity or PV(Present value) of an annuity. In this formula, we have to calculate the present value of all the future payments, which he will be paying until the end of 96 months. Using the formula of Present Value of an Annuity or PV(Present value) of an annuity:

PV = PMT * [(1 - (1 + r/n)^-nt)/(r/n)]

Where, PV = Present Value

PMT = Payment amount

r = interest rate

n = number of times interest is compounded per year

t = time in years

For Semi-annually, the compounding period is 2.

PV = PMT * [(1 - (1 + r/n)^-nt)/(r/n)]

PV = Payment * [(1 - (1 + r/n)^-nt)/(r/n)]

PV = Payment * [(1 - (1 + 0.07/2)^-(96*2))/(0.07/2)]

PV = Payment * [(1 - (1.035)^-192)/(0.035)]

PV = Payment * [(1 - 0.000044)/0.035]

PV = Payment * 28.23130

Therefore, the amount Khalid should pay today in the bank paying 7% semi-annually is:

PV = Payment * 28.23130

$30,000 = Payment * 28.23130

Payment = $1,061.88

Approximately $1,061.88 is the payment of interest that Khalid should pay today in the bank paying 7% semi-annually.

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The data analyst uses the Assignment operator in the code.

Data analysts collect, clean, and examine data to help solve problems. Here's how you can start your journey as a single person. Data analysts collect, clean, and interpret data to answer questions or solve problems. Data analysis is the process of analyzing, cleaning, transforming, and modeling data to discover important information, draw conclusions, and support decisions. Data analysis has many facets and methods, including many techniques under different names, and used in different industries, research, and social studies.

The data analyst's code in R-Studio uses the following types of operators:
A. Arithmetic
B. Assignment

In the code, "sales_1 <- (3500.00 * 12)", the "*" operator is an arithmetic operator used for multiplication, and the "<-" operator is an assignment operator used to assign the result of the expression to the variable "sales_1".

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Answer:

It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."

The arc of the satellite refers to the path that a satellite follows as it orbits around a celestial body such as the Earth, and is determined by the gravitational forces between the two objects.

We are given the orbital radius and angular separation between two adjacent communication satellites, and we need to find the arc length that separates them.

Here's a step-by-step explanation:

1. Given the orbital radius (r) is 8.46 * 10^7 m.
2. Given the angular separation (θ) is 4.00 degrees.
3. To find the arc length (s), we can use the formula s = r * θ, where θ should be in radians.
4. Convert the angular separation from degrees to radians: θ (radians) = θ (degrees) * (π / 180) = 4 * (π / 180) = 4π / 180 radians.
5. Calculate the arc length: s = r * θ = (8.46 * 10^7) * (4π / 180) ≈ 5.92 * 10^6 m.

So, the arc length that separates the satellites is approximately 5.92 * 10^6 m (option b).

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It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

Answer:

Step-by-step explanation:

Exponential equation:

           \(\boxed{y=a*b^{x}}\)

Choose the point whose x-coordiante is 0, so that we can find the value of a.  (0,2)

\(2 = a*b^0\\\\2 = a*1 \ [\text{\bf any \ variable raised to 0 is 1}]\)

\(\sf \boxed{a = 2}\)

Now, choose (1 , 1) and find the value of b

\(1 = 2*b^{1}\\\\1 = 2*b\\\\\dfrac{1}{2}=b\)

Exponential equation:

            \(\bf \boxed{y =2* \left(\dfrac{1}{2}\right)^{x}}\)

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

The area= 1 in The perimeter= 5 in

Step-by-step explanation:

:)

Answer:

like fractions have the same denominator. So A is correct

Answer:

  true

Step-by-step explanation:

You want to know if weight and self-esteem have a negative correlation if an increase in weight causes self-esteem to go down (the slope is negative).

The slope of the line of best fit has the same sign as the correlation coefficient. The magnitude of the correlation coefficient is the ratio of the covariance to the product of the standard deviations of the variables.

It is true that the weight and self-esteem have negative correlation.

Answer:

I think the right answer would be 3/10 if u need explanation then reply me

Answer:

31.5

Step-by-step explanation:

5*6=30

30+5=35

35*0.3=31.5

The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:

log₂(x - 1) = x³ - 4x

Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.

For the point (2, 0):

log₂(2 - 1) = 2³ - 4(2)

log₂(1) = 8 - 8

0 = 0

The equation holds true for the point (2, 0), so (2, 0) is one solution.

For the point (1.1187, -3.075):

log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)

log₂(0.1187) = 1.4013 - 4.4748

-3.075 = -3.0735 (approx.)

The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.

Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

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Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

109.30

Step-by-step explanation:

The center-radius form equation and the key features are listed below

The first equation, x^2 + y^2 - 9 = 0, is already in center-radius form, where the center is (0, 0) and the radius is 3.

The domain and range of this equation are:

Domain: -3 ≤ x ≤ 3

Range: -3 ≤ y ≤ 3

For the second equation, we can simplify it by completing the square:

x^2 - 10x + y^2 + 9 = 0

(x^2 - 10x + 25) + y^2 = 16

(x - 5)^2 + y^2 = 4^2

This equation is now in center-radius form, where the center is (5, 0) and the radius is 4.

The domain and range of this equation are:

Domain: 1 ≤ x ≤ 9

Range: -4 ≤ y ≤ 4

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Answer:

Step-by-step explanation:thank y

Answer:

complementary

Step-by-step explanation:

to complete 90 gradus

_________________________________

Hey!!

<a and <b are complementary angles.

Hope it helps

Good luck on your assignment

__________________________________

Answer: 165.

Step-by-step explanation: You can multiply 11 by 15 to get 165. If that is too difficult, you can multiply 11 by 5 and 11 by 10 and add them. 11*5 is 55 and 11*10 is 110. 110 + 55 = 165.

Answer:

1 pineapple = $0.5 dollars

Step-by-step explanation:

Given that,

→ the price of 200 pineapples is $100.

Now the price of 1 pineapple is,

→ 100/200

→ $0.5 dollars

Hence, answer is $0.5 dollars.