Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time for checking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable.

Answers

Answer 1
I think its 101010183727382
Answer 2

The average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

How to explain the information?

Since the arrival rate and service rate follow a Poisson distribution, we can use the Poisson arrival rate formula to calculate the average queue length.

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

Since the average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

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Related Questions

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
At West Painting, they get about three calls a day asking for an estimate of the cost for having the interior of a house painted. To write up an estimate for the cost of a job, they need to know how much paint a job will take. If they average painting of a room with of a gallon of paint, then they can paint, on average,
rooms per gallon.

Answers

Answer:

Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

Step-by-step explanation:

Concept: Use the method of ratio and proportion.

In this method, if a relationship is given between two values, then using that relationship we can find another relationship with respect to another variable.

Given that for 2/5 gallons of paint, we can paint 3/4 of rooms. So, for one gallon of paint, divide 2/5 by 3/4.

2/5 gallons of paint = 3/4 rooms

1 gallon of paint = [tex]\frac{\frac{3}{4} }{\frac{2}{5} } = \frac{15}{8} =1.875[/tex] rooms

So, on an average they can paint 1.875 rooms per gallon.

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The figure shows a parallelogram PQRS of area 35cm². If T is a point on QR such that QT = 4 cm, TR = 3 cm, find the area of triangle PQT.​

Answers

Answer:

area of a parallelogram equals to 1/2 x base x perpendicular height and area of a triangle equals to 1/2 base times height so you ought to search for the base in order to get the area of the triangle needed that's how I got the answer bye.

GIVING 100 POINTS: The graph shown here displays the distance, in miles. traveled by a jet in a certain number of hours. Based on the graph, which of the following equations indicates the correct variables, and in how many hours does the jet travel 12,000 miles if it travels at the same speed?

Graph titled Motion of a Jet shows Time in hours on x axis and Distance in miles on y axis. A straight line joins the ordered pairs 0, 0 and 2, 1200 and 4, 2400 and 6, 3600.

y = 600x, the jet travels 12,000 miles in 20 hours
x = 600y, the jet travels 12,000 miles in 20 hours
y = 600x, the jet travels 12,000 miles in 22 hours
x = 600y, the jet travels 12,000 miles in 22 hours

Answers

Answer:

A. y = 600x, the jet travels 12,000 miles in 20 hours

Explanation:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Take two points: (2, 1200), (4, 2400)

[tex]\sf slope : \dfrac{2400-1200}{4-2 } = 600[/tex]

Equation:

y - 1200 = 600(x - 2)

y - 1200 = 600x - 1200

y = 600x

Miles the Jet travels at 20 hours:

y = 600(20) = 12000 miles

Miles the Jet travels at 22 hours:

y = 600(22) = 13200 miles

Answer:

y = 600x, the jet travels 12,000 miles in 20 hours

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y = mx + b[/tex]

where:

m = slopeb = y-intercept

To find the slope, define two points on the line and use the slope formula to find the slope:

[tex]\textsf{let}\:(x_1,y_1)=(0,0)[/tex][tex]\textsf{let}\:(x_2,y_2)=(2, 1200)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1200-0}{2-0}=600[/tex]

From inspection of the graph, the y-intercept (where the line crosses the y-axis) is at (0, 0).  Therefore, the equation of the line is:

y = 600x

y is defined as the distance (in miles).  Therefore, to find the number of hours it takes for the jet to travel 12,000 miles, substitute y = 12000 into the found equation and solve for x:

[tex]\sf \implies 600x=12000[/tex]

[tex]\sf \implies x=\dfrac{12000}{600}[/tex]

[tex]\sf \implies x=\dfrac{120}{6}[/tex]

[tex]\implies \sf x=20[/tex]

Therefore, it takes the jet 20 hours to travel 12,000 miles.

A tree is 4 m 25 cm high! A pole is 70 cm shorter. How high is the pole? ​

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{3955cm}[/tex]

-------------------------------------------------------------------------------------------------------------

Given: [tex]\textsf{Tree = 4m and 25cm, Pole = 70cm shorter}[/tex]

Find: [tex]\textsf{The height of the pole}[/tex]

Solution: The first step that we must take is to convert the tree height to centimeters and after doing so we would just subtract 70 cm from that to get the pole height.

Convert to cm

[tex]\textsf{m = 1000cm}[/tex][tex]\textsf{4m = (1000cm * 4)}[/tex][tex]\textsf{4m = 4000cm}[/tex]

Combine

[tex]\textsf{4000cm + 25cm}[/tex][tex]\textsf{4025cm}[/tex]

Subtract 70 from the tree height

[tex]\textsf{4025cm - 70cm}[/tex][tex]\textsf{3955cm}[/tex]

Using the information from the problem the height of the pole would be 3955cm.

Please help meeeeeeeeee

Answers

Answer:

a, b, d

Step-by-step explanation:

its one of those

Answer:

A, the first one

16x^2+?x+36 perfect square trinomial

Answers

Answer:

  16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a +b)² = a² +2ab +b²

We want to match this form.

__

comparing terms

Comparing the known terms, we see ...

  16x² = a²   ⇒   a = 4x

  36 = b²   ⇒   b = 6

filling in the missing term

The missing term is the linear term:

  2ab = 2(4x)(6) = 48x

  ? = 48

Using the distance formula calculate the distance show me example

Answers

Answer:

[tex]4\sqrt{26}[/tex]

Step-by-step explanation:

The distance formula is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Thus we can plug the numbers in:

[tex]\sqrt{(-2-(-6))^2+(10-(-10))^2}[/tex]

[tex]\sqrt{(4)^2+(20)^2}[/tex]

[tex]\sqrt{16+400}[/tex]

[tex]\sqrt{416}[/tex]

[tex]4\sqrt{26}[/tex]

Find equation in slope intercept form of the line passing through the points with given coordinates (-3,-4), (0,-3)

Answers

Answer:

Step-by-step explanation:

→ Find the gradient

( -3 --4 ) ÷ ( 0 --3) = 1/3

→ Write into format

y = 1/3x + c

→ Substitute in a coordinate pair

-3 = 0 + c

→ Solve for c

c = -3

→ Write into format

y = 1/3x - 3

The temperature is 20 degrees and is expected to fall 2 degrees each hour.
Write a linear equation in slope-intercept form to model this situation.

Answers

Answer:

20-2h

Step-by-step explanation:

20 is the original amount. The variable stands for the number of hours. You are TAKING AWAY 2 degrees every hour so you would subtract.

I will give Brainliest
Which is a discrete random variable?
W = "exact time it takes for a computer to update its software"
Z = "results of flipping two coins"
X = "weight of the microprocessor inside your computer"
Y = "height of an emperor penguin on Antarctica"

Answers

Answer:

I believe that it should be Y; Height of an emperor penguin on Antarctica

Answer:

Z = "results of flipping two coins"

Step-by-step explanation:

A discrete variable is one which can take only certain values and usually represents values that are counted. The result of flipping two coins can only take a certain number of values of heads or tails (1 head and 1 tail, two heads, or two tails); therefore it is a discrete variable.

A continuous variable is one which can take any value, and usually represents values that are measured. The rest of the options provided (W, X, and Y) are all measurements, and are therefore continuous, not discrete.

Also, among the options presented, option Z is the only one which is "random".

A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation 25x2 – 144y2 + 3,600 = 0, which of the following equations represents the boundaries of the light?

y equals five twelfths x and y equals negative five twelfths x
y equals twelve fifths x and y equals negative twelve fifths x
y equals five thirteenths x and y equals negative five thirteenths x
y equals thirteen fifths times x and y equals negative thirteen fifths times x

Answers

Answer:

  (a)  y = 5/12x and y = -5/12x

Step-by-step explanation:

Given the equation of a hyperbola 25x² – 144y² + 3,600 = 0, you want the equations of the asymptotes.

Standard form

Dividing by 3600 and doing a little rearrangement, we have ...

  (y/5)² -(x/12)² = 1 . . . . . standard form equation of a hyperbola

Asymptotes

The equation of the asymptotes is ...

  (y/5)² -(x/12)² = 0

Solving for y gives ...

  (y/5)² = (x/12)²

  y/5 = ±x/12 . . . . . . take the square root

  y = ±5/12·x . . . . . . . matches the first choice

__

Additional comment

The equation of a hyperbola with vertices on the y-axis is often written as ...

  y²/a² -x²/b² = 1

We have written it in the above form to better show the scale factors applied to x and y.

<95141404393>

Jdnjdbbdidbd

1 + 1/3=

Answers

Answer:

[tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]1 + \frac{1}{3} \\= \frac{3}{3} + \frac{1}{1}\\= \frac{4}{3}[/tex]

(if the question is asking for the simplified form , it is [tex]1\frac{1}{3}[/tex]

What’s the vertex of this graph??

Answers

Answer:

(4, -3)

Step-by-step explanation:

A vertex is just a point where 2 lines going in different directions meet. so the answer is (4, -3)

()
8
What is 11 - 2³

Answers

Answer:

[tex]11 - 2 {}^{3} [/tex]

[tex]11 - 8[/tex]

[tex]3[/tex]

A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R; that is, T=P+R. During the 2012 regular football season, the teams total offense was 4559 yards. The teams passing yardage was 3069 yards. How many yards did the team gain by rushing during the season?

Answers

The team gain 1490 yards by rushing during the season.

What is football yardage?

Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.

According to the question,

A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,

i.e.  T=P+R

In 2012,

The teams total offense was 4559 yards.

The teams passing yardage was 3069 yards.

By using the formula

T=P+R

T = 4559 yards , P = 3069 yards

Put the values in the above equation;

4559 =  3069 - R

4559 - 3069 = R

R = 1490 yards

Therefore , 1490 yards the team gain rushing during the season.

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Determine the rate of change equation by implicitly differentiating with respect to
time t.
x^4+ y^4 = 4y

Answers

By the power and chain rules, taking derivatives on both sides with respect to [tex]t[/tex] gives

[tex]4x^3 \dfrac{dx}{dt} + 4y^3 \dfrac{dy}{dt} = 4\dfrac{dy}{dt}[/tex]

or

[tex]4x^3 \dfrac{dx}{dt} + (4y^3-4) \dfrac{dy}{dt} = 0[/tex]

a teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the test

Answers

The question is incomplete. The complete question is

A teacher promised a movie day to the class that did better, on average, on their test. The box plot shown in the below-mentioned figure shows the results of the test.

Which class should get the reward, and why?

- The 2nd-period class should get the reward. They have the highest score, a perfect 100.

- The 2nd-period class should get the reward. They have a higher median.

- The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

- The 4th-period class should get the reward. Their lowest score is an outlier and should be thrown out.

The box plot shown in the question provides the information that
In 2nd period the minimum of the data is 77, first quartile is 78, median of the data is 89, third quartile is 92 and the maximum of the data is 100.
Hence, the mean of the results of 2nd period is

[tex]\frac{77+78+89+92+100}{5}=87.2[/tex]

In 2nd period the minimum of the data is 72, first quartile is 83, median of the data is 89, third quartile is 96 and the maximum of the data is 98.

Hence, the mean of the results of the 4th period is

[tex]\frac{72+83+89+96+98}{5}=87.6[/tex]

Hence, obviously, the 4th period is having more mean.

Moreover, we can observe that if more of the marks are on the higher side the average will automatically be more. Hence, as the first and the third quartiles are more on the 4th-period, so the average marks for the 4th period must be better.

So, just by observing the box plot, we can give the statement that  "The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class. "

Therefore, the 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

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Somebody help please!!

Answers

The correct answer is 19

What is the area of this triangle?




Answers

Answer:

sum of all sides

Step-by-step explanation:

x1y2 + x3y3 + x1y1

Write an equation for the polynomial graphed below

Answers

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

How to factor the polynomial?

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

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I need this rnnn pls helpop

Answers

Answer:

200 sqin.

Step-by-step explanation:

10 x 10 + 10 x 10 = 100 + 100
                          = 200

The domain of ​(f​g)(x) consists of the numbers x that are in the domains of both f and g.

Answers

The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.

Domain is the values of x in the function represented by y=f(x), for which y exists.

THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".

Now we assume the [tex]g(x)=x+2[/tex] and [tex]f(x)=\frac{1}{x-6}[/tex]

So here since g(x) is a polynomial function so it exists for all real x.

[tex]f(x)=\frac{1}{x-6}[/tex]  does not exists when [tex]x=6[/tex], so the domain of f(x) is given by all real x except 6.

Now,

[tex](fg)(x)=f(g(x))=f(x+2)=\frac{1}{(x+2)-6}=\frac{1}{x-4}[/tex]

So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.

But domain of both f(x) and g(x) consists of the value x=4.

Hence the statement is not TRUE universarily.

Thus the given statement about the composition of function is FALSE.

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The school is planning a field trip to the science center. Tickets are originally $28, but school
groups receive an $8 discount on each ticket that is purchased. The expression t(28 - 8)
represents the total cost for t tickets.
What does the quantity 28 - 8 represent?
the number of tickets
the original price of a ticket
4) the amount of the discount
the total cost
the number of students
the discounted price of each ticket

Answers

28-8 is the discount price of each ticket, and the (28-8) is equal to (=) -----> 24(28-8

Step-by-step explanation:

that is the answer

Bacteria colonies can increase by 73%
every 2 days. If you start with 55 bacteria
microorganisms, how large would the
colony be after 10 days?
Future Amount = [?] microorganisms
←time
Hint: Future Amount = 1(1+r) periods

initial growth
amount rate
Round to the nearest whole number.

Answers

The size of the colony after 10 days is  852.

What is the size of the colony after 10 days?

The growth rate of the colony can be represented with an exponential equation with the form:

FV = P(1 + r)^n

Where:

p = present population r = rate of growth n = growth factor = 10 days / 2 days = 5

55(1.73)^5 = 852

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The function f(x) = 40(0.9)x represents the deer population in a forest x years after it was first studied. What was the deer population when it was first studied?

a. 44
b.40
c. 36
d.49

Answers

Answer:

36

Step-by-step explanation:

40*.9

MATH PERCENTAGE QUESTION HELP!

1. 27400 spectators in a 40000 seat stadium percentage?

2. an archer scores 95 points out of a possible 125 points percentage?

Answers

Answer:

68.5% seats filled

76% points earned

Step-by-step explanation:

General outlineIdentify the whole and the partChange ratio into a percentage

Ratios

Percentages are formed when one finds a ratio of two related quantities, usually comparing the first partial quantity to the amount that "should" be there.

[tex]\text{ratio}=\dfrac {\text{the "part"}}{\text{the whole}}[/tex]

For instance, if you have a pie, and you eat half of the pie, you're in effect imagining the original pie (the whole pie) cut into two equal pieces, and you ate one of them (the "part" of a pie that you ate).  To find the ratio of pie that you ate compared to the whole pie, we compare the part and the whole:

[tex]\text{ratio}=\dfrac {\text{the number of "parts" eaten}}{\text{the number of parts of the whole pie}}[/tex]

[tex]\text{ratio}=\dfrac {1}{2}[/tex]

If you had instead eaten three-quarters of the pie, you're in effect imagining the original pie cut into 4 equal pieces, and you ate 3 of them.

[tex]\text{ratio}=\dfrac {\text{the number of "parts" eaten}}{\text{the number of parts of the whole pie}}[/tex]

[tex]\text{ratio}=\dfrac {3}{4}[/tex]

There can be cases where the "part" is bigger than the whole.  Suppose that you are baking pies and we want to find the ratio of the pies baked to the number that were needed, the number of pies you baked is the "part", and the number of pies needed is the whole.  This could be thought of as the ratio of project completion.

If we need to bake 100 pies, and so far you have only baked 75, then our ratio is:

[tex]\text{ratio}=\dfrac {\text{the number of "parts" made}}{\text{the number of parts of the whole order}}[/tex]

[tex]\text{ratio}=\dfrac {75}{100}[/tex]

But, suppose you keep baking pies and later you have accidentally made more than the 100 total pies.... you've actually made 125 pies.  Even though it's the bigger number, the number of pies you baked is still the "part" (even though it's bigger), and the number of pies needed is the whole.

[tex]\text{ratio}=\dfrac {\text{the number of "parts" made}}{\text{the number of parts of the whole order}}[/tex]

[tex]\text{ratio}=\dfrac {125}{100}[/tex]

Percentages

To find a percentage from a ratio, there are two small steps:

Divide the two numbersMultiply that result by 100 to convert to a percentage

Going back to the pies:

When you ate half of the pie, your ratio of pie eaten was [tex]\frac{1}{2}[/tex]

Dividing the two numbers, the result is [tex]0.5[/tex]

Multiplying by 100 gives 50.  So, the percentage of pie that you ate (if you ate half of the pie) is 50%

When you ate three-quarters of the pie, the ratio was [tex]\frac{3}{4}[/tex]

Dividing the two numbers, the result is 0.75

Multiplying by 100 gives 75.  So, the percentage of pie that you ate (if you ate three-quarters of the pie) is 75%.

When you were making pies, and 100 pies were needed, but so far you'd only baked 75 pies, the ratio was [tex]\frac{75}{100}[/tex]

Dividing the two numbers, the result is 0.75

Multiplying by 100 gives 75.  So, the percentage of the project that you've completed at that point is 75%.

Later, when you had made 125 pies, but only 100 pies were needed, the ratio was [tex]\frac{125}{100}[/tex]

Dividing the two numbers, the result is 1.25

Multiplying by 100 gives 125%.  So, the percentage of pies you've made to complete the project at that point is 125%.... the number of pies that you've made is more than what you needed, so the baking project is more than 100% complete.

The questions

1.   27400 spectators n a 40000 seat stadium percentage.

Here, it seems that the question is asking what percentage of the stadium is full, so the whole is the 40000 seats available, and the "part" is the 27400 spectators that have come to fill those seats.

[tex]\text{ratio}=\dfrac {\text{the number of spectators filling seats}}{\text{the total number of seats in the stadium}}[/tex]

[tex]\text{ratio}=\dfrac {27400}{40000}[/tex]

Dividing gives 0.685.  Multiplying by 100 gives 68.5.  So, 68.5% of the seats have been filled.

2.   an archer scores 95 points out of a possible 125 points percentage

Here, it seems that the question is asking what percentage of the points possible were earned, so the whole is the 125 points possible, and the "part" is the 95 points that were earned.

[tex]\text{ratio}=\dfrac {\text{the number of points earned}}{\text{the total number of points possible}}[/tex]

[tex]\text{ratio}=\dfrac {95}{125}[/tex]

Dividing gives 0.76.  Multiplying by 100 gives 76.  So, 76% of points possible were earned.

Because the two distributions displayed below have similar shapes, they have
the same standard deviation.

A. True
B. False

Answers

Answer:

False, distributions having the same mean and standard deviation can have very different shape of distribution.

Describe a scenario where the function value exists at x=c, but the limit does not exist.

Answers

The scenario can be described using a piecewise function like:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

When the value exists but the limit does not?

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Clearly, this is not a continuous function.

Notice that:

[tex]f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)[/tex]

So the limits from left and right are different, then:

[tex]\lim_{x \to c^{}} f(x)[/tex]

Does not exist.

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Please answer this question i really want answers :(

Answers

Based on the hints of distinguishing between radical and non-radical numbers, we have the following lists:

[tex]\sqrt{3}[/tex], [tex]2.\overline{2}[/tex], 2.5, [tex]\sqrt{5}[/tex]3.01, [tex]3.\overline{01}[/tex],[tex]3.\overline{1}[/tex], [tex]\sqrt{9}[/tex][tex]-4.\overline{1}[/tex], - 4.1, 4.01, [tex]\sqrt{17}[/tex]- 2.5,  [tex]-\sqrt{5}[/tex], [tex]\sqrt{6}[/tex], 2.5

How to order numbers from least to greatest

In this question we must order sets of numbers in ascending order. A hint consists in comparing non-radical numbers with the closest radical numbers whose results are integers.

In consequence, we obtain the following orders:

[tex]\sqrt{3}[/tex], [tex]2.\overline{2}[/tex], 2.5, [tex]\sqrt{5}[/tex]3.01, [tex]3.\overline{01}[/tex],[tex]3.\overline{1}[/tex], [tex]\sqrt{9}[/tex][tex]-4.\overline{1}[/tex], - 4.1, 4.01, [tex]\sqrt{17}[/tex]- 2.5,  [tex]-\sqrt{5}[/tex], [tex]\sqrt{6}[/tex], 2.5

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definition of Identity property, Association property and communicative property please answer!​

Answers

Answer:

09

Step-by-step explanation:

07

Other Questions
please help me with my math Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend? 3,9584,5005,7006,200 PLS HELP4. T or F X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves.5. What happens to the amplitude of water waves as you get farther from the disturbance that caused them? Why? What is the area of parallelogram ABCD? Identify each description as an example of civil law or criminal law.Pamela is asking for custody ofher children after her divorce.Philip is arrested for setting fireto his neighbor's property.Civil LawJoe wants a share inhis father's property.Sullivan is caughtwith stolen phones.Betty is accused of takingmoney from her workplace.Criminal Law READ SIR GAWAIN AND THE GREEN KNIGHT IN YOUR TEXT OR ONLINE.Type a response paper to the epic, "Sir Gawain and the Green Knight". Make sure you type in title, website and the author is called The Pearl Poet at the beginning of the paper.This response should just be a 3 sentence summary and then the main ideas you want to discuss: chivalry, games, Middle Ages, Merlin, magic, etc. You may use quotes from the story to support what you say as long as you have the website and citation on a Work Cited page. Which part if the health triangke deals with managing stress After receiving a placebo said to reduce the pain of her sprained ankle, suzie is most likely to respond with a(n) ________ in her brain's release of ________, Jagged coastlines with many fjords are located in:Select one:a. Western Scandinaviab. Spainc. Icelandd. Western Jutlande. Eastern Scandinavia in the adjoining figure prove that Which pair of functions are inverses of each other? what is the major difference between the trans siberian trade routes nd the silk road During 2019, Stephie worked full-time while her spouse, Tom, attended college for 8 months during the year. The couple has two children under 13. She earned 125,000 and incurred $6,100 of child care expenses.Determine the credit for child and dependent care expenses for 2019. What is the sum of the polynomials?(7x-4x) + (2x-4x)5x9x3O5x-8xO9x8x Since 1960, the earnings gap between men and women in the U.S. labor market has steadily risen. been completely eliminated. continued to narrow. increased throughout the 1970s. There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why? Reece and Sarah share some money in the ratio 9 : 16.Reece says that Sarah gets more than 60% of this money. Show that Reece is correct. Which words from this campaign best indicate the target audience?send kindnessI am a witnesssomeone getting bulliedsomething you could say What are the solutions of 3x + 14x + 16 = 0?0 x=--20 x = -2-2/0x = ,20x=-2X What type of hash is used when there is a fixed number of items to be hashed, such as the items in a block header, and we are verifying the composite block integrity?