PLS ANSWER THIS ASAP

The image below shows two parallel lines and an intersecting transversal line. What is the degree measures of angles 1 and 2?

PLS ANSWER THIS ASAP The Image Below Shows Two Parallel Lines And An Intersecting Transversal Line. What

Answers

Answer 1
It is the first answer choice
Answer 2

the answer is A because 1 is the same as 78


Related Questions

Given f(x)=3x^2+kx+9, and the remainder when f(x) is divided by x-3 is 6, then what is the value of k?

Answers

Answer:

k = - 10

Step-by-step explanation:

6=9+3(k+9)

3(k+9)=-3

k+9= -1

k= -10

The value of k is -10.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given a function 3x² + kx + 9.

Divide the function with x - 3.

Do the long division process.

After doing the long division,

(3x² + kx + 9) / (x - 3), we get the quotient as 3x + (k + 9) and the remainder as 9 + 3(k + 9).

9 + 3(k + 9) = 6

3(k + 9) = -3

k + 9 = -1

k = -1 - 9

k = -10

Hence the number k has the value -10.

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1. For all named stors that have made landfall in the United States since 2000, of interest is to determine the mean sustained wind speed of the storms at the time they made landfall in this scenario, what is the population of interest?

2. Based on the information in question 1, what is the parameter of interest?
A. The average π sustained wind speed of the storms at the time they made landfall
B. The mean µ of sustained wind speed of the storms
C. The proportion µ of the wind speed of storm
D. The mean µ usustained wind speed of the storms at the time they made landfall
E. The proportion π of number of storms with high wind speed

Answers

1. The population of interest are all named storms that have made landfall in the United States since 2000.

2. The parameter of interest is the mean µ of sustained wind speed of the storms. Therefore, the correct answer is option B.  

The other options are not correct as follows:

Option A. The average π sustained wind speed of the storms at the time they made landfall - The term "average" is equivalent to "mean." However, π is not applicable since it denotes the constant 3.14159....

Option C. The proportion µ of the wind speed of storm - Proportion refers to a fraction or percentage of a whole, so this answer is illogical because µ denotes the mean.

Option D. The mean µ of sustained wind speed of the storms - This answer is wrong because it is not the correct order.

Option E. The proportion π of the number of storms with high wind speed - This answer is incorrect since π denotes the constant 3.14159..., and it is not applicable in this context.

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Final answer:

The population of interest is all named storms that have made landfall in the United States since 2000. The parameter of interest would be the mean sustained wind speed of the storms at the time they made landfall, as you're seeking the average wind speed at the moment of landfall.

Explanation:

The population of interest refers to the complete group of individuals or cases that a researcher is interested in studying. In this case, it would be all named storms that have made landfall in the United States since 2000.

The parameter of interest is a numerical measure that describes a characteristic of a population. Based on the information in question 1, the parameter of interest would be D. The mean µ sustained wind speed of the storms at the time they made landfall. This is because you're interested in knowing the average wind speed of the storms at the moment they hit the land, not the proportion of storms with high wind speed or any other aspect of the storms.

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mary says the pen for her horse is an acute right triangle. Is this possible?

Answers

we know that
An acute triangle is a triangle with all three angles acute (less than 90 degree ).

An obtuse triangle is one with one obtuse angle (greater than 90 degree) and two acute angles.

A right triangle is one with one right angle (angle equal to 90 degree ) and two acute angles.

therefore

The answer is

Is not possible

Can a simple directed graph G = (V, E) with at least three vertices and the property that deg+(v) + deg¯(v) = 1, Vv € V exist or not? Show an example of such a graph if it exists or explain why it cannot exist.

Answers

No, such a simple directed graph with at least three vertices and the property that deg+(v) + deg¯(v) = 1 cannot exist.

The property deg+(v) + deg¯(v) = 1 implies that for every vertex v in the graph, the sum of its in-degree (deg¯(v)) and out-degree (deg+(v)) is equal to 1. In a directed graph, the in-degree of a vertex represents the number of incoming edges, while the out-degree represents the number of outgoing edges.

If we consider a graph with at least three vertices, let's say v1, v2, and v3, and apply the given property, we would have:

deg+(v1) + deg¯(v1) = 1

deg+(v2) + deg¯(v2) = 1

deg+(v3) + deg¯(v3) = 1

However, this leads to a contradiction. In a directed graph, the sum of in-degrees and out-degrees of all vertices is always equal. Therefore, if we sum up the equations above, we would get:

deg+(v1) + deg+(v2) + deg+(v3) + deg¯(v1) + deg¯(v2) + deg¯(v3) = 3

Since each term on the left-hand side of the equation is at least 1 (due to the property), the sum would be at least 6. This contradicts the fact that the sum should be equal to 3.

Hence, a simple directed graph with at least three vertices and the property deg+(v) + deg¯(v) = 1 cannot exist.

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The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your steps

Answers

342/18 18 x 10= 180 342 - 180= 162 18 x 9= 90 + 72= 162 10+9= 19 The answer is 19

Help me PLZZ it’s worth 20 points

Answers

Answer: uhhhhhhhhhhhhhhhhhhh whats the question?

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ​

Answers

Answer:

so so so sorry I usually don't do this but you know

Step-by-step explanation:

should have never be a

Let A = {1, 2, 3, 4} and B = {5, 6, 7}.

a). Give an example of an onto function f: A→B, or explain why this is impossible. (You can draw a graph, make a table, or list ordered pairs.)

b). Give an example of a one-to-one function g: A→B, or explain why this is impossible. (You can draw a graph, make a table, or list ordered pairs.)

c). Give an example of an equivalence relation on A, or explain why this is impossible. (You can draw a graph or list ordered pairs.)

Answers

The relation ‘equal to’ is an equivalence relation on A.

a) To give an example of an onto function f: A → B, we need to ensure that every element in set B is mapped to from set A. Since set B has three elements (5, 6, 7) and set A has four elements (1, 2, 3, 4), it is impossible to have an onto function from A to B.

This is because there are more elements in A than in B, so at least one element in B will not have a corresponding element in A.

b) A function g: A → B is a one-to-one function if each element of set A is paired with a distinct element in set B. Let us create a table to get the one-to-one function g.

Table of one-to-one function gA1234B5677The function g: A → B can be defined by g(1) = 5, g(2) = 6, g(3) = 7 and g(4) = 7.

Hence, this is a one-to-one function.

c) An equivalence relation is a relation that is reflexive, symmetric, and transitive.

We can define an equivalence relation on set A using the relation ‘equal to’. Every element of set A is equal to itself, i.e., ∀ a ∈ A, a = a.

Hence, this is a reflexive relation on A. Also, if a and b are two elements of A such that a = b, then b = a.

Hence, this is a symmetric relation on A. Also, if a, b, and c are three elements of A such that a = b and b = c, then a = c. Hence, this is a transitive relation on A.

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Solve for n. c/d = d/c - 1/n

Answers

Answer:

Hi! The other answer is not correct to your question

The answer to your question is n= [tex]\frac{dc}{(c+d)(c-d)}[/tex]

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable n

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⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Find the area of the triangle below

Answers

Answer:

24

Explanation: base times height divided by 2

Answer:

D) 24

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 12

h = 4

Work:

A = 1/2bh

A = 1/2(12)(4)

A = 6(4)

A = 24

Is it possible or impossible for a graph to have exactly one vertex of odd degree. If so, describe the graph by giving its degree sequence. If not, explain why not.

Answers

It is impossible for a graph to have exactly one vertex of odd degree.

What is a vertex?

Vertex is  described as a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet.

The total of all vertices' degrees in any graph is always even. This is so because each edge adds two degrees—one for each endpoint—to the overall number of degrees.

The total number of degrees at all vertices must therefore be an even number.

If a graph had exactly one vertex of odd degree, the sum of the degrees of all other vertices would be even.

if we  add an odd degree to an even sum, the result would be in an odd total degree count, which contradicts the fact that the sum of all degrees in a graph is always even.

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The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 60 laptops, the sample mean is 122 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p-value?

Answers

The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.

The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.

To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))

Calculating the t-value, we find t ≈ 0.894

To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.

Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.

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Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

False

Explanation: Coordinate Planes are made of 2 intersecting perpendicular lines.

9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?​

Answers

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

Consider the function f() = x ln (2+1). Interpolate f(T) by a second order polynomial on equidistant nodes on (0,1). Estimate the error if it is possible.

Answers

To interpolate the function f(x) = x ln(2+1) by a second-order polynomial on equidistant nodes on the interval (0,1), we can use the Lagrange interpolation formula.

To interpolate f(T) by a second-order polynomial on equidistant nodes on (0,1), we need three equidistant nodes. Let's denote these nodes as x₀, x₁, and x₂, with x₀ = 0, x₁ = h, and x₂ = 2h, where h = (1-0)/2 = 1/2.

We can construct the Lagrange polynomial P₂(x) of degree 2 that interpolates f(x) at these nodes. The Lagrange interpolation formula for P₂(x) is:

P₂(x) = f(x₀) × L₀(x) + f(x₁) × L₁(x) + f(x₂) × L₂(x)

where L₀(x), L₁(x), and L₂(x) are the Lagrange basis polynomials.

Using the given function f(x) = x ln(2+1), we can evaluate f(x₀), f(x₁), and f(x₂). Plugging these values into the Lagrange interpolation formula, we obtain the second-order polynomial interpolation for f(T).

To estimate the error, we can use the error formula for polynomial interpolation. The error term E(x) is given by:

E(x) = f(x) - P₂(x)

To calculate the error, we would need to evaluate the derivative of f(x) and find its maximum value on the interval (0,1). However, without knowing the interval (T), we cannot estimate the error.

In summary, we can interpolate f(T) by a second-order polynomial on equidistant nodes on (0,1) using the Lagrange interpolation formula. However, without specifying the interval (T), it is not possible to estimate the error.

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Graph on a coordinate plane P(-3,-5)

Answers

Answer:

Answer is in the image below

Answer:

P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P

Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪

Answers

Answer:

Bad little boy

That's what you're acting like

I really don't buy

That you're that kind of guy

And if you are

Why do you want to hang out with me?

Step-by-step explanation:

i had to look in the internet hehe click the ❤️

please

Need to help to find the slope pls helppp

Answers

Answer:

Step-by-step explanation:

easy

Answer:

it is 2

Step-by-step explanation:

rise over run

it goes up 2 points and

moves right 1 point

2/1 =2

No image, Find the volume of a garden
seat in the shape of a
triangular prism with a height
of 30 inches and a base area
of 72 in^2 *Hint* Base
area means
they have
already
calculated
the area of
the base for
you! 

Answers

Answer:

volume = 720 in³

Step-by-step explanation:

volume = 1/3Bh = 1/3 x 72 x 30 = 720 in³

There are twice as many girls as boys in Mr. Terpathi’s 7th grade math class. Each of the girls gave him an oatmeal cookie, and each of the boys gave him a chocolate cookie. Mr Terpathi arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?

A. The cookie farthest to the left is chocolate.

B. The cookie farthest to the left is oatmeal.

C. There are at least two chocolate cookies next to each other.

D. There are at least two oatmeal cookies next to each other.

E. Mr. Terpathi received more chocolate cookies than oatmeal cookies.

Answers

Answer: D. There are at least two oatmeal cookies next to each other.

Step-by-step explanation:

Alright so basically we can use process of elimination to determine what is true or false so

A. States the farthest to the left is chocolate but we can't prove that because all we know is the cookie farthest to the right is chocolate so this is false

B. Same reason as A we cannot prove what cookie is farthest to the left because we are not given a pattern so B is false

C. Since there are definitely twice as many girls as boys in the class and that also means there are twice as many oatmeal cookies then we cannot prove that 2 chocolate cookies have to be next to each other so also false

D. This has to be true because if there are twice as many girls as boys and more oatmeal than chocolate then is whatever cookie line combinataion we will have at least 2 oatmeal cookies next to each other So this is true

E. This is most definitely not true because the question tells us that twice as many girls gave him oatmeal so if anything there are more oatmeal cookies

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B (3, -4)

Step-by-step explanation:

A( -7, 2)

midpt ( -2, -1)

Equation:

(x + 5, y - 3)

Solve for B:

( -2, -1)

(x + 5, y - 3)

(3, -4)

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

3x6= 18 then 14000 x 18 = 252,000

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Answers

Answer:

a no b yes c no d no e yes

Step-by-step explanation:

4.*
The circle with center O has a circumference of 36 units. What is
the length of minor arc AC?
C
A. 9 units
B. 12 units
C. 18 units
D. 36 units

Answers

Answer:

9 units

Step-by-step explanation:

got it right on edg

Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°

Answers

Answer:

i think ik it the aswer is c

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

what is 1 2/7- 3/4 equal to

Answers

9514 1404 393

Answer:

  15/28

Step-by-step explanation:

We can rearrange the problem a bit and make it a little simpler.

  1 2/7 - 3/4 = (1 -3/4) + 2/7 = 1/4 + 2/7

  = (7+4·2)/(4·7) = 15/28

_____

The sum of fractions can always be found by ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\\\\\dfrac{1}{4}+\dfrac{2}{7}=\dfrac{1\cdot7+4\cdot2}{4\cdot7}=\dfrac{7+8}{28}=\dfrac{15}{28}[/tex]

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Answers

Answer:

y=4x+5

Step-by-step explanation:

y=mx+c

gradient =m

y intercept=c

m=4

c=5

so

y=4x+5

Answer:

y=4x+9

Step-by-step explanation:

y=mx+b

y=4x+b

5=4(-1)+b

5=-4+b

b=9

y=4x+9

lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20% corn and the rest is sunflowers seeds how many cups of corn will lily need to fill the 8 cup bird feeder.If the rest of the mix is sunflower seed,what percent of the bird food is sunflower seed.

Answers

Answer:

80%

Step-by-step explanation:

100% is full so you do 100%-20%=80% so thats the answer

Determine The Sum Of - -5-8-11--------269 b)1-3+9----243

Answers

Given expression are:

a) -5 - 8 - 11 -... - 269 = -11823.

b) 1 - 3 + 9 - ... + 243 = 364.

a) To find the sum of the given expressions, we first have to identify the type of the sequence.

The first expression is an arithmetic sequence with common difference -3.

Using the formula of the sum of arithmetic sequence, we can find the sum of the sequence.

Formula to find sum of n terms in an arithmetic sequence:

Sn = (n/2) [2a + (n-1)d]

where n is the number of terms in the sequence, a is the first term and d is the common difference)

To find the sum of the first expression, we need to calculate the number of terms in the sequence.

Given, First term, a = -5 Common difference, d = -3 Last term, l = -269

Using the formula for finding nth term in an arithmetic sequence:

l = a + (n-1)d-269

= -5 + (n-1) (-3)-269

= -5 -3n + 3-3n

= -267n = 89

Therefore, there are 89 terms in the sequence.

Now, using the formula of the sum of the arithmetic sequence:

Sn = (n/2) [2a + (n-1)d]S89

= (89/2) [2(-5) + (89-1) (-3)]S89

=  (89/2) [-10 - 264]S89

= -11823

The sum of the

is -11823.

b)The second expression is a geometric sequence with common ratio 3.

Using the formula of the sum of geometric sequence, we can find the sum of the sequence.

Formula to find sum of n terms in a geometric sequence:

S = [a(1-r^n)] / [1-r]where n is the number of terms in the sequence, a is the first term and r is the common ratio

To find the sum of the second expression, we need to calculate the number of terms in the sequence.

Given, First term, a = 1 Common ratio, r = 3 Last term, l = 243

Using the formula for finding nth term in a geometric sequence:

l = ar^(n-1)243

= 1 x 3^(n-1)3^(n-1)

= 243n-1 = 5n = 6

Therefore, there are 6 terms in the sequence.

Now, using the formula of the sum of the geometric sequence:

S = [a(1-r^n)] / [1-r]S

= [1(1-3^6)] / [1-3]S

= [1-729] / (-2)S

= 364

The sum of the geometric sequence is 364.

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Other Questions
A certain type of light bulb has an average life of 600 hours, with a standard deviation of 50 hours. The length of life of the bulb can be closely approximated by a normal curve. An amusement park buys and installs 40,000 such bulbs. Find the total number that can be expected to last more than 565 hours? Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.The number of light bulbs that can be expected to last more than 565 hours is A nurse is caring for a client who has dysphagia following a stroke. Which of the following interventions should the nurse use when feeding the client?a. offer the client a straw to drink liquidsb. place food toward the back of the client's mouthc. encourage the client to lie down and rest for 30 min after mealsd. instruct the client to thil her head forward while eating on the far right side of the as curve, the economy is producing ________ potential, and on the far left of the curve, it is producing ________ potential.A) at; belowB) below; aboveC) above; below to what volume must 1.0 l of a 6.0 m solution of hcl be diluted in order to prepare a 0.2 m solution? select one: a. 30 l b. 20 l c. 10 l d. 40 l A park ranger is interested in plant growth around the trails of the park. He finds the plants growth, G, is dependent on the number of sunny days that occur in three months, x, and can be modeled by the function G(x)=8+3x.Draw the graph of the growth function by plotting its G-intercept and another point Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Round your final answers to 3 decimal places -195.x - 162: 90% condence why does descartes say that the appeal to gods goodness does not prevent him from doubting that there is no sky, no earth, etc.? a birthday cake was measured with a degree of accuracy to the nearest 1cm; 10cm 10cm 5cm. what is the smallest possible volume of the cake to the nearest discuss the advantages and disadvantages of using circular logging instead of continuous logging. The common stock of Scotty Inc. has a required return of 14.7%. The return on the market portfolio is expected to be 10.8% and the T-Bill rate is 3.8%. What is Scotty's beta?1.331.561.231.41.92 Which of the following is correct relating to combating ethical behaviour in the workplace?Answers:Creating more rules is not a long-term solution for dealing with ethical behaviour.Creating more rules is a long-term solution for dealing with unethical behaviour.Attempting to change the organizational culture will not help to increase ethical behaviour.Senior managers are too distant from regular employees, and cannot act as role models for ethical behaviour Do you think the Clinton administration should have intervened more aggressively in the 1997 Thai financial crisis, and if so how? Defend your answer. explore caring, learning-centered educational interventions focused on quality health outcomes true/false. community experience paper programs/changes to better serve the community 1) Use Laplace Transforms to solve the IVP where y(0) = 0 and y' (0) = 0. y" + y = t 0 2 for 0 < t < 2 for t > 2 Exhibit A Demand and Marginal Utility Pizza Pies Compact Disks Total Marginal Total Marginal Quant. Utility Utility Total Marginal Quant. Utility Util. Quant. Utility Utility. 90 --- 1 60 30 - 130 40 90 30 45 160 30 105 50 180 20 115 53.5 120 T 185 5 150 55 -35 122 6 56 Complete all relevant information in the above chart. Exhibit A provides C. Chan's hypothetical total utility schedule for three goods-pizza pies, compact disks, and movies. Assume that the price of a pizza is $15, the price of a compact disk is $15, and the price of a movie is $7.50. How many units of each good will C. Chan consume if he spends all of his income of $85 a month on these three goods. How do your answers change if the price of movies is $10? $5? Plot the demand curve for movies. What is the price elasticity of demand for movies if the price rises from $7.50 to $10.00? What is the price elasticity of demand for movies if the price falls from $7.50 to $5.00? Use the mean or arc elasiticity formula for the above two questions. 123456 23456 15 123456 Movies A 60 kg woman stands on the very end of a uniform board of lengthl, which is supported one quarter of the way from one end and is balanced.What is the mass of the board?A.15 kg.B. 20 kg.C.30 kg.D. 60 kg.E. 120 kg. Derek has the opportunity to buy a money machine today. Themoney machine will pay Derek $22,614.00 exactly 6.00 years fromtoday. Assuming that Derek believes the appropriate discount rateis 10.00%, Suppose an industry with four firms 1) having the same constant marginal cost c = C = C3 = C4 = 4; 2) incurring no fixed cost of production; 3) producing a homogeneous good and choosing output simultaneously (i.e., being Cournot competitors); and 4) facing the linear inverse demand P = 10-Q with Q 91 +92 +93 +94. = Q9) Determine the quantity produced by firms 1 and 2 at the pre-merger equilibrium. Assume firm 1 merges with firm 4 and retains the name firm 1 leaving in the market firms 1, 2, and 3. The merger leads to synergies with the marginal cost of the merged firm becoming c < 4. Q10) Determine the quantity produced by firms 1 and 2 at the the post- merger equilibrium (each firm's quantity will be a function of c). Q11) Determine the value for c such that the merger becomes profitable. Q12) Determine the value for such that the price decreases post-merger. Hawar International is a shipping firm with a current share price of $4.69 and 9.1 million shares outstanding. Suppose that Hawar announces plans to lower its corporate taxes by borrowing $7.7 million and repurchasing shares, that Hawar pays a corporate tax rate of 25%, and that shareholders expect the change in debt to be permanent. a. If the only imperfection is corporate taxes, what will be the share price after this announcement? b. Suppose the only imperfections are corporate taxes and financial distress costs. If the share price rises to $4.74 after this announcement, what is the PV of financial distress costs Hawar will incur as the result of this new debt? a. If the only imperfection is corporate taxes, what will be the share price after this announcement? The share price after this announcement will be $ per share. (Round to the nearest cent.) b. Suppose the only imperfections are corporate taxes and financial distress costs. If the share price rises to $4.74 after this announcement, what is the PV of financial distress costs Hawar will incur as the result of this new debt? The PV of financial distress costs will be $ million