the price of stock a at 9am was 15.95.since them, the price has been increasing at the rate of 0.13 each hour.at noon the price of stock b was 16.45.it begins t decrease at the rate of 0.11 each hour.if the two rates continue,in how many hours will the prices of the two stocks be the same.?

Answers

Answer 1

The prices of the two stocks will be the same in 3:27:30 hours, at 12:27:30 PM.

Since the price of stock A at 9am was $ 15.95, and since then, the price has been increasing at the rate of $ 0.13 each hour, and at noon the price of stock B was $ 16.45, and it begins to decrease at the rate of $ 0.11 each hour, to determine, if the two rates continue, in how many hours will the prices of the two stocks be the same, the following calculation must be performed:

12 PM = A = 15.95 + (0.13 x 3) = 16.34 B = 16.45 12:30 PM = A = 16.34 + (0.13 / 2) = 16.405 B = 16.45 - (0.11 / 2) = 16.395 12:28 PM = A = 16.34 + (0.13 / 60 x 28) = 16.40 B = 16.45 - (0.11 / 60 x 28) = 16.39 12:27:30 PM = A = 16.34 + (0.13 / 60 x 27.5) = 16.40 B = 16.45 - (0.11 / 60 x 27.5) = 16.40

Therefore, the prices of the two stocks will be the same in 3:27:30 hours, at 12:27:30 PM.

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Related Questions

how much is more the value including 13% vat on rs 4000 thann rs 4500

Answers

Answer:13/100x×4000=4500

13x×40=4500

480x=4500

x=4500/480

Answer:

Rs 12

Step-by-step explanation:

According to what I have understood;

13/100*4000= Rs Rs 512

So, Rs 4000 plus its VAT is

4000+ 512= Rs 4512

Then we need to find the difference, That is

Rs 4512 - Rs 4000= Rs 12

If f(x) is an exponential function where f(-1)=26 and f(6.5)=14, then find the value of f(5), to the nearest hundredth.

Answers

Given an exponential function f(x) where

f(-1) = 26 and

f(6.5) = 14.

We have to determine the value of f(5), rounded to the nearest hundredth.

An exponential function can be represented as f(x) = ab^x where a and b are constants.

We need to find the values of a and b.

Let's start with f(-1) = 26:

f(-1) = ab^-1

⇒ 26 = a/b. ......(1)

Similarly, f(6.5) = 14:

f(6.5) = ab^6.5

⇒ 14 = ab^6.5 .......(2)

Let's divide equation (2) by equation (1) to find the value of b.

14/26 = (ab^6.5)/(a/b)

⇒ 0.54 = b^6.5

⇒ b = 0.9196

Substitute this value of b in equation (1) to find the value of a:

26 = a/0.9196

⇒ a = 23.90

Therefore, the equation of the exponential function is

f(x) = 23.90 × (0.9196)^x.

To find f(5), substitute x = 5:

f(5) = 23.90 × (0.9196)^5

≈ 15.15

In the given problem, we are given an exponential function, f(x) where

f(-1) = 26 and

f(6.5) = 14

and we are required to find the value of f(5), rounded to the nearest hundredth

Thus, the value of f(5) is approximately equal to 15.15, rounded to the nearest hundredth.

In the given problem, we have successfully found the value of f(5), rounded to the nearest hundredth. We used the formula of the exponential function f(x) = ab^x and solved the equations to find the values of a and b. Finally, we substituted x = 5 in the equation to find the value of f(5).

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Select the correct answer from the drop-down menu.

Select the correct answer from the drop-down menu.

Answers

Answer:

The first one is y=1/2

The second one is -17/27

The third one is y=0

The last one is -3/11

Step-by-step explanation:

Not really sure what this was asking. Hope I helped.

Please help me please pleaee

Please help me please pleaee

Answers

Hello,

A.i. the circumference of a circle is nothing else but its perimeter which formula is π × diameter = π × 2 × radius

Let π = 22/7 ≈ 3.142857, the egyptian approximation

Then if C is the circumference of the circle i., C = 22/7 × 21 = (22 × 21) / 7 = (22× 7×3 )/7 = 22 ×3 = 66 cm

ii. Applying the same formula for the second circle gives us C = 22/7 × 8 = 176/7 ≈ 25.14 meters, rounded to the nearest hundredth...

Good luck !

Answer:

a) 66cm.       b) 50.28cm. or 50 2/7cm.

Step-by-step explanation:

The circumference of a circle is C=2πr or C=πd.

π=22/7

a)  C=πd

Plugin the diameter.

C=22/7 x 21

=66cm.

b) C=2πr

Plugin the radius.

C=2 x 22/7 x 8

=50.28cm. or 50 2/7cm.

Hope this helps :)

I really need help I don’t know how to you know

I really need help I dont know how to you know

Answers

Answer:

144 in internal angle

Step-by-step explanation:

What does congruent mean

Answers

Answer:

If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.

Step-by-step explanation:

The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.

What does congruent mean

Assume that lines which appear tangent are tangent. Find the value of each measure. Round answer to the nearest DEGREE

Assume that lines which appear tangent are tangent. Find the value of each measure. Round answer to the

Answers

The value of each measure, rounded to the nearest degree, is \(\boxed{115^\circ}\).

The measure of an angle between a tangent and a chord drawn from the point of contact is equal to half the measure of the intercepted arc.

Determine the value of each measure, rounding your answer to the nearest degree.

Two lines tangent to a circle are presented in the figure below:

\(\text{AB}\) and \(\text{CD}\).

In the first step, it is necessary to connect the points where the tangents intersect to form a chord.

\(\text{AC}\) and \(\text{BD}\) are both chords that pass through the circle.

Let \(\text{m}\widehat{\text{C}}=\text{x}\) and

\(\text{m}\widehat{\text{D}}=\text{y}\).

In accordance with the theorem, the following can be written:

\(\text{m}\widehat{\text{A}} =\frac{1}{2}(\text{x}+\text{y})\)

\(\text{m}\widehat{\text{B}} =\frac{1}{2}(\text{x}+\text{y})\)

Therefore, \(\text{m}\widehat{\text{A}}=\text{m}\widehat{\text{B}}\)

There are a few other results as well. Therefore, we have

\(\text{m}\widehat{\text{ACB}}=\text{m}\widehat{\text{A}}+\text{m}\widehat{\text{B}}[/tex

\(\text{m}\widehat{\text{ACB}}=2\times\frac{1}{2}(\text{x}+\text{y})\)\(\text{m}\widehat

{\text{ACB}}=\text{x}+\text{y}\)

Accordingly, the value of each measure is

\(\text{m}\widehat{\text{ACB}}=\text{x}+\text{y}=45^{\circ}+70^{\circ}=115^{\circ}\).

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1. 4 more than the difference of 8 and a number

Answers

Answer:

(8-n) + 4

4+ (8-n)

Step-by-step explanation:

I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!

1. Give two "real-world" examples (with the stochastic matrix and what it is modeling) of Markov chain models which contain: (a) Periodic classes (groups) of states (b) An ergodic system

Answers

Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.

Example of Markov chain with periodic classes of states:

One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.

Example of ergodic system in a Markov chain:

A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.

In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.

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Please answer it now in two minutes

Please answer it now in two minutes

Answers

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

just designed a cloister (a rectangular garden surrounded by a covered walkway on all four sides). the outside dimensions of the garden are 12 feets by 8 feet, and the area of the garden and the walkway together are 252 square feet. what is the width of the walkway?

Answers

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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Help me with 1 , 3, 5pleasee show your work

Help me with 1 , 3, 5pleasee show your work

Answers

Answer: 1. 8x+40

3. -6m-18

5. -5x-1

Step-by-step explanation:

1. 8*x=8x   8*5=40

3. -2*3m=-6m  -2*9=-18

5. -1*5x=-5x   -1*1=-1

Checking for Mistakes When Row Reducing: We can use the fact that row reduction does not change linear combinations of columns to check to see if we have row reduced a matrix correctly. Suppose that you tried row reducing the matrix [ 1 2 3 0 5]
[2 1 3 -3 2]
[ 1 0 1 1 1]
and you got [ 1 0 1 -2 0]
[0 1 1 1 0]
[ 0 0 0 0 1] The fourth column of this reduced matrix implies that __ [1] + _ [2] = [0]
[2] [1] [-3]
[1] [0] [ 1]
but this is not correct, so there must be a mistake in the row reduction! It is recommended that you check your row reduced matrices this way on tests and assignments so that you can catch your mistakes before you submit your work.

Answers

The given row reduced matrix contains an error in the last row, specifically the fourth entry. It should be 0, but it is incorrectly shown as 1. This discrepancy suggests that a mistake occurred during the row reduction process.

Row reduction is a technique used to transform a matrix into its row echelon form or reduced row echelon form. It involves applying elementary row operations to manipulate the matrix's rows. However, errors can occur during the process, leading to incorrect results.

To check for mistakes in row reduction, one can examine the linear combinations of columns in the reduced matrix. Each column represents a vector, and the coefficients in the linear combinations indicate the relationships between these vectors. If the linear combinations do not yield the correct results, it suggests that an error was made during the row reduction.

In the given example, the linear combination in the fourth column of the reduced matrix does not produce the expected result, indicating a mistake. It is crucial to review and verify row reduced matrices using such checks to identify and correct any errors before submitting the final work.

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I GIVE BRAINLIEST ANSWER QUICK
Solve the system below
x + 2y = -1
y = -3x - 8

A (2,-1)
B(-3,-l)
C(2,-2)
D (-3, 1

Answers

Answer:

It should be D.

Step-by-step explanation:

Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.\

Answers

To find the size of the shift from f to g, compare their corresponding points. To plot a function shifted half as much as g from f, use half of the shift value and plot the points using the same x-values as g.

To determine the size of the shift from function f to function g, you can compare their corresponding points. The shift is equal to the difference in the y-values of the corresponding points. To plot a function that is shifted only half as much as g from the parent function f, you need to take half of the shift value obtained earlier. This will give you the new y-values for the shifted function. Use the same x-values as used in the table for function g. Plot the points with the new y-values and the same x-values, and you will have the graph of the shifted function.

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The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.

Determine the vertex, and explain what it means in the context of the problem.

(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.

Answers

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

How to find the vertex of the quadratic?

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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Write a linear function f with the given values. f(0) = 7, f(3) = 1​

Answers

Answer:

So the slope in this case is m = -2. Using point (0, 7) and m =-2 with point-slope we have y - 7 = -2(x-0) => y = -2x +7. Then we realize (0,7) actually is the y-intercept. We could have gone directly to y = -2x + 7. If we use (3,1) and m = -2 we get y-1=-2(x-3) => y -1 = -2x+6 => y = -2x+7. Another way to find y-intercept is to use y = mx +b directly. If we use the point (3,1) that means when x=3, y = 1. So 1=-2(3) + b => 1=-6+b => b = 7. So, y = -2x+7. Same result in all cases. I like to use point-slope. Others prefer to use y = mx+b, substituting for x, y, and m to solve for b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write a linear function f with the given values. f(0) = 7, f(3) = 1

Use the given right triangle to find​ ratios, in reduced​ form, for sinA, cosA, and tanA.

Use the given right triangle to find ratios, in reduced form, for sinA, cosA, and tanA.

Answers

Answer:

SinA=P/H

CosA=B/H

TanA=P/B

Hypotenuse=85

Perpendicular=13

Base=84

SinA=13/85

CosA=84/85

TanA= 13/84

I think it will help you.

3.Kelly borrowed $16.30 from her
mom. She also owed her friend
51120 What number represents
Kelly's total debt?

Answers

-16.3-(the number of money owed to her friend)= Kelly’s total debt
You forgot to put a period somewhere

Identify the x- and y- intercept for each graph. Help pls!!!!

Identify the x- and y- intercept for each graph. Help pls!!!!

Answers

Y:5 x=-5 your welcome

Answer:

y-intercept: 5 (x,y): (0,5)

x-intercept: -5 (x,y): (-5,0)

Step-by-step explanation:

The point where the line hits the x-axis is where the x-intercept would be located like for this line it would be (-5,0)

For the y-intercept, it would be the line hits the y axis, like for this graph it would be (0,5).

what is a necessary step for consturcting perpendicular lines through a point off the line?

Answers

Answer:

Step-by-step explanation:

O Draw a line that intersects the first line at an acute angle using a straightedge.

O Draw a ray that intersects the first line at an acute angle using a straightedge.

Draw arcs on either side of a given point on the line,

Draw ares on either sig, of a given point of the lin

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to the top of the building. If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? Round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft

Answers

Answer: 17.6

Step-by-step explanation:

The answer to the nearest tenth B. 17.6 ft

What is an instance of word problems?

Word issues commonly encompass mathematical modeling questions, where information and facts about a positive device are given and a scholar is needed to develop a version. for instance: Jane had $5.00, then spent $2.00. How lots does she have now?

How can we resolve word problems?

A proven step-by-step approach for solving word problems is sincerely quite simple.

Draw a photograph.suppose “What do I want to locate?”list what's given.find the important thing words.resolve.check your work.

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(20 Points) Please help!
What is the value of x? What is the measure of each exterior angle?

(20 Points) Please help!What is the value of x? What is the measure of each exterior angle?

Answers

Answer:

70, 84, and 116

Step-by-step explanation:

(x) + (x + 14) + (2x - 24) + 90 = 360

4x - 10 + 90 = 360

4x = 280

x = 70

x + 14 = 84

2x - 24 = 116

Can someone plz help me with this one problem!!!!

(I’M MARKING BRAINLIEST)

Can someone plz help me with this one problem!!!!(IM MARKING BRAINLIEST)

Answers

Answer:

(0,0), (1,2), (2,4), (3,6), (4,8), (5,10)

Step-by-step explanation:

Hi again,

Once again, this equation does not have the "b" for y = mx + b. Therefore, this linear graph will run through the origin (0,0).

To find the y coordinates, you can substitute the x value into y = 2x.

For example, if you put in 2  into y = 2x, you would get 4 for the y-coordinate.

Hope this explains the process. Cheers.

Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2

Answers

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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the study of hypnosis and its relationship to hysteria was the starting point for

Answers

The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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PLEASE HELP! (will mark brainliest)
In ΔXYZ point M is the centroid. If XM = 8, find the length of MA.

answers:
12, 6, 4, 2

PLEASE HELP! (will mark brainliest)In XYZ point M is the centroid. If XM = 8, find the length of MA.answers:12,

Answers

Answer:

4

Step-by-step explanation:

The correct answer is 4.

I will love u if u answer this math question(9+35)-(34+21)

Answers

(9+35)-(34+21)




Answer: -11



:3

Answer:

-11

Step-by-step explanation:

9+35=44. 34+21=55. - each other=-11

What kind of statistics are used in the following examples? Fill in the blank with either inferential or descriptive: A school psychologist finds that students who listen to music have decreased scores on their homework Fill in the blank with either descriptive or inferential What kind of statistics are used in the following example: A teacher reports the average score for a class Identify the dependent and independent variable

Answers

In the given examples, the kind of statistics that are used can be described as follows:1. A school psychologist finds that students who listen to music have decreased scores on their homework - Inferential statistics are used here.2. A teacher reports the average score for a class - Descriptive statistics are used here.

For identifying the dependent and independent variable, the following description can be given:

Dependent variable: This is the variable that is being tested and measured. In the given example, the dependent variable is the score on the homework.

Independent variable: This is the variable that is being manipulated. In the given example, the independent variable is the music that the students listen to.

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Television screens are described according to the measure of the diagonal. A 60-inch screen is 48 inches long. What is the height?

Answers

36
Use Pythagorean Theorem.
a^2 + b^2 = c^2
60 = c
48 = a
Solve for b
c^2 - a^2 = b^2
60^2 - 48^2 = 36
Use a calculator.
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syndrome of inappropriate antidiuretic hormone and a sodium level of 123 meq/l which of the following prescriptions I need help with this one Which of the following is an example of a functional team?a.A plastic surgeon, a dentist, a nurse, and a health insurance specialist consulting for a burn victimb.A teacher, a principal, four parents, three students and a school board member building a school schedulec.Four architects working to complete plans for a new corporate office building in downtown New Yorkd.An accountant, a lawyer, and a paralegal giving advice to a corporate manager with legal problemsPlease select the best answer from the choices providedABCD during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent of them have the flu ? The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place. answer and work please The presence of a third layer of smooth muscle assists the continued _______ and blending of the ______ 18 11 points Save Arawer A synchronous generator is delivering 0.95 pu of active power and 0.3 pu reactive power to an infinite bus, with a voltage of V=1.0 pu, through transmission line. The generator has a direct-axis transient reactance X-0.2 pu and the line reactance is XL -0.4 pu. A temporary three-phase fault occurred on the sending end of the line. When the fault was cleared, the line remained connected. Calculate the followings: a.Current flowing into the infinite bus 6. [2 Mark]b.Transient internal voltage of the generator [2 Mark) c.Maximum power transfer [2 Mark) d.. Initial operating power angle e.Critical clearing angle & of the system [3 Marks) Find the inverse of the following function: f(x)=(2x +3) - 4 Determine the domain for which this inverse function will be defined. Write your answer as an inequality. I have this question for GMM and I got the inverse right, but I don't know how to get the domain. I thought it was x how can mitochondrial dna be distinguished from eukaryotic nuclear dna? Select the correct answerChoose the CONJUNCTION.I like brownies, but I like chocolate ice cream best of all!OA. butOB. ofO C.all risky firms have a higher risk-adjusted cost of capital. which one of the following factors would contribute to a risky firm also having a relatively high price/earnings ratio?a.The firm has a low earnings per share.b.The firm has a significant amount of long-term debt.c.The firm has strong growth opportunities.d.The firm has a high earnings per share. In your email you should compare the new town to the place where are you lived before describe your new school suggest how you and your friend could spend the day together in your new town Expand and fully simplify (x+5)(x+4)(x+4) if corporate directors fail to sue when the corporation has been harmed by an individual, another corporation, or a director, individual shareholders can file a _____ on behalf of the corporation. Why is it important to be flexible in your goals? Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6tFind the theoretical and practical domains of the equation.Select ALL correct answers.Question 4 options:The practical domain is all real numbers.The theoretical domain is all real numbers.The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.The practical domain is all real numbers greater than or equal to one and less than or equal to two. how is the rating of the branch-circuit protective device affected when the conductors used are of a larger size than called for by the code? see nec 210.18 16. Taylor uses 2 sticks that are 13 feet long to make the slanted sides ofa tent. From the bottom poles, the opening is 10 feet long.13 ft.10 ft.What is the height of the tent in feet?Write the answer in the box.feet 1. What are the three types of organizations that help local governments achieve their sustainability goals?2. cost-benefit cost-benefit analysis?3. What is greenwashing?4. Provide an example of greenwashing?5. If you were to develop a sustainability assessment tool for businesses from scratch, where would you start?6. How can we start a sustainability initiative at Everglades University? Provide a brief description of your idea.