Solve for Prob#3, Lecture Series no.3, symmetrical
components, Calculate the ff:

a.) symmetrical currents of line a, b and c.
b.) compute for the real and reactive powers at the supply side
c.) verify the answer in b using the method of symmetrical components


3. Three equal impedances (8+j6) ohms are
connected in wye across a 30, 3wire supply. The
symmetrical components of the phase A line voltages are:
Va。 = = OV
Va, = 220 +j 28.9 V
Va₂ = -40-j 28.9
V If there is no connection between
the load neutral and the supply neutral, Calculate the
symmetrical currents of line a, b and c. (See Problem Set 2)

Answer:

Step-by-step explanation:

hello :

-6(1+2 x)> 6(2x-1)+2x

1) divide by 6 : -(1+2 x)> (2x-1)+(1/3)x

2) multiply by 3 : -3(1+2x) >3(2x-1)+x

calculate : -3-6x  > 6x-3+x

now add 3 : -6x  > 6x+x

-6x  > 6x+x

add 6x :   0>12x+x    means : 13x <0

x <0/13    but 0/13 =0

conclusion : x <0

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

Answer:

The answer is A I'm not 100 percent sure

Answer:

A.

81 − 49y2

Step-by-step explanation:

edmentum answer---

Homogeneous systems of linear equations can have either a unique solution or infinitely many solutions, depending on the rank of the matrix representing the system.

A homogeneous set of equations is a set of linear equations that has a trivial solution (that is, a solution consisting of only the zero vector). In other words, if the coefficients of the variables in a set of linear equations are all equal to zero, the set of equations is considered homogeneous.

The trivial solution, that is, the solution in which all variables are equal to zero, will always be a solution to a homogeneous set of equations. This is because, if all coefficients are equal to zero, then each equation in the set will reduce to 0 = 0, which is always true. Thus, the trivial solution is always a solution to a homogeneous set of equations.

In addition to the trivial solution, a homogeneous set of equations may also have non-trivial solutions, which are solutions that are not equal to only the zero vector. To find these non-trivial solutions, we typically use techniques such as Gaussian elimination, row reduction, or the use of matrices and determinants.

It is important to note that homogeneous systems of linear equations can have either a unique solution or infinitely many solutions, depending on the rank of the matrix representing the system.

Therefore, homogeneous systems of linear equations can have either a unique solution or infinitely many solutions, depending on the rank of the matrix representing the system.

To learn more about linear equations,

Visit; brainly.com/question/11897796

#SPJ4

Answer:

Option A, 33.2 yd

Step-by-step explanation:

A² + B² = C²

50² + x² = 60²

2500 + x² = 3600

x² = 3600 - 2500

x² = 1100

x = \(\sqrt{1100}\)

x = 33.2

Hope this helps!

Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.

The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).

Therefore, the answer is "translation , reflection , and dilation".

To learn more about transformation of graphs, visit the link:

brainly.com/question/12202719

#SPJ4

Answer:

A) Translation

B) Reflection

C) Dilation

Step-by-step explanation:

The vector equation and parametric equations for the line through the point (4, -9, 6) and parallel to the vector (₁, r(t) = (x(t) are:

Vector equation: r(t) = (4, -9, 6) + t(₁

Parametric equations:

x(t) = 4 + t, y(t) = -9 + t, z(t) = 6 + t

To find the vector equation and parametric equations for the line, we need a point on the line and a vector parallel to the line. The given point (4, -9, 6) serves as a point on the line. The vector (₁ represents the direction of the line since it is parallel to the desired line.

In the vector equation, we add the position vector (4, -9, 6) to t times the direction vector (₁ to get the position vector of any point on the line. This equation provides a compact representation of the line in vector form.

In the parametric equations, we break down the vector equation into three separate equations for each coordinate (x, y, z). Each coordinate equation expresses the position of a point on the line in terms of the parameter t. By varying the value of t, we can obtain different points on the line. Thus, the parametric equations provide an alternative representation of the line in terms of its coordinates.

Learn more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

The sequence 3, 18, 108, 648, ..... is a geometric sequence.

The sequence 3.9, 19.5, 97.5, -487.5, ..... is a geometric sequence.

The sequence 1.1, -2.2, 4.4, -8.8, ..... is a geometric sequence.

The sequence 4, 20, 4, 20, ..... is not a geometric sequence.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁ = a₃/a₂

Common ratio, r = 18/3 = 108/18

Common ratio, r = 6 = 6 (geometric sequence).

Common ratio, r = -19.5/3.9 = 97.5/-19.5

Common ratio, r = -5 = -5 (geometric sequence).

Common ratio, r = -2.2/1.1 = 4.4/-2.2

Common ratio, r = -2 = -2 (geometric sequence).

Common ratio, r = 20/4 = 4/20

Common ratio, r = 5 = 0.2 (not a geometric sequence).

Read more on geometric sequence here: brainly.com/question/16423479

#SPJ1

Answer:

neither

Step-by-step explanation:

The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.

Hope this helps! :)

Answer:

26

Step-by-step explanation:

Answer: a reflection could i think

Step-by-step explanation:

Answer: A & C

Step-by-step explanation:

Answer:

The length of the model is 6 inches.

Step-by-step explanation:

The wingspan of the airplane and length of the airplane are a ratio of 4:3

The model is also supposed to be 4:3.

4:3 x 2 = 8:6

Or, 20x12=240

240/8=30

15x12=180

180/30=6.

Answer:

6 inches

Step-by-step explanation:

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

Answer:

426

Explanation:

To find the median number in a set of data start by reordering the data from least to greatest.

original data set:

593, 588, 540, 434, 420, 398, 390, 375

data set from least to greatest:

375, 390, 398, 420, 434, 540, 588, 593

Next, you would usually just have to find the middle number in the data set and that would be your median. However, this data set has no one number that is directly in the middle. So, we will add both middle numbers together and then divide our answer by two.

375, 390, 398, 420, 434, 540, 588, 593

420 + 434 = 854

854 ÷ 2 = 426

Therefore, the median of the given data set is 426.

Answer:

427.

Step-by-step explanation:

Answer:

12 weeks

Step-by-step explanation:

if 280=420

then 8=×

cross multiply

280×=420×8

280×=3360

divide both sides with the co efficient of x

280×/280=3360/280

leaving the answer to be 12

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8-2)/(4-10)

    = 6/-6

   = -1

Answer:

(-6,2)

Step-by-step explanation:

\(f(x)<0\)

We are given \(f(x)=x^2+4x-12\).

So we need to solve:

\(x^2+4x-12<0\)

First let's find when the expression on the left is 0.

\(x^2+4x-12=0\).

The expression on the left is factorable.

Given the coefficient of \(x^2\) is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

\((x+6)(x-2)=0\)

So the solutions can be found be solving the following linear equations:

\(x+6=0\) and \(x-2=0\).

First equation, you just need to subtract 6 on both sides. \(x=-6\)

Second equation, you just need to add 2 on both sides. \(x=2\)

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want \(f(x)<0\).

Let's plug in x=-8

\(f(x)=(x+6)(x-2)\) or use \(f(x)=x^2+4x-12\).

\(f(-8)=(-8+6)(-8-2)\)

\(f(-8)=(-2)(-10)\)

\(f(-8)=20\) so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

\(f(x)=(x+6)(x-2)\)

\(f(0)=(0+6)(0-2)\)

\(f(0)=(6)(-2)\)

\(f(0)=-12\) so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

\(f(x)=(x+6)(x-2)\)

\(f(5)=(5+6)(5-2)\)

\(f(5)=(11)(3)\)

\(f(5)=33\) so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

#SPJ1

The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ1

Answer: -6x + 15

Step-by-step explanation:

f (x) = 3

g (x) = -2x + 5

3 (-2x+5)

= -6x +15

Answer:

Olá, tudo bem?

Step-by-step explanation:

Meu nome é Ana Kesia, e o seu?

Foi mal, Nn Consegui responder!

Answer:

The quantity of column A is greater

Step-by-step explanation:

sin 45 = 0.7071

cos 45 = 0.525

therefore, 0.7071 > 0.525

therefore. sin 45. > cos 45

Answer:

x = 22/15

Step-by-step explanation:

2.5(6x-4)=10+(1.5+0.5)

Combine like terms

2.5(6x-4)=10+(2)

2.5(6x-4)=12

Divide each side by 2.5

6x-4 = 4.8

Add 4 to each side

6x = 8.8

Divide by 6

6x/6 = 8.8/6

x = 88/60

x = 22/15

Answer:

The answer is 3

Step-by-step explanation:

I hope this help you!! I'm sorry If it wrong..

Have a nice day! <3

Answer:A and C

Step-by-step explanation:

saw the answers

Answer:

true.

A chord that passes through the center of a circle is called a diameter and is the longest chord.

Step-by-step explanation:

A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.

i hope this helps you.      :)

Answer:

D

Step-by-step explanation:

Answer:

We have this equation: y = 4x + 6 and we need to solve it for x, so x should be at one side of the equation without any otehr number.

y = 4x + 6

Now, we pass the 4x at the left substracting:

y - 4x = 6

And the y summing at the other side:

4x = 6 + y

And now, we can pass the 4 which is multiplying x dividing to the other side

x = \(\frac{6+y}{4}\)