-3x⁴+5x³+0x²+2x-1÷2x²-x

Answers

Answer 1

The quotient is -3x²/2 + 7x/4 + 7/8 and the remainder is 23x/8 - 1. The solution has been obtained by using polynomial long division method.

What is polynomial long division?

A formula for multiplying one polynomial by another of the same degree or lower is known as a long division polynomial. Like with long division of numbers, the components of long division of polynomials include the divisor, quotient, dividend, and remainder.

We are given dividend as -3x⁴+5x³+0x²+2x-1 and divisor as 2x²-x.

Using Polynomial Long Division,

Dividing : -3x⁴+5x³+0x²+2x-1 ("Dividend")

By : 2x²-x ("Divisor")

Dividend                   -3x⁴ + 5x³ + 0x² + 2x - 1

- divisor * -3x²/2       -3x⁴ + 3x³/2

Remainder                       + 7x³/2 + 0x² + 2x - 1

- divisor * 7x/4                  + 7x³/2 - 7x²/4

Remainder                                      7x²/4 + 2x - 1

- divisor * 7/8                                   7x²/4 - 7x/8

Remainder                                                  23x/8 - 1

Quotient : -3x²/2 + 7x/4 + 7/8

Remainder: 23x/8 - 1

Hence, the solution has been obtained.

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Related Questions

Select the correct answer.
A right triangle C B A with lengths of sides as follows: C B is the wall of length equals 12 feet; A C is the ladder of length equals 13 feet. Right angle is at B.

According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value
?

A.
tan C

B.
cos C

C.
tan A

D.
sin A

Reset Next
Trigonometric Ratios: Mastery Test
©

Answers

Answer:

Option A

Step-by-step explanation:

A = opposite/hypotenuse = 12/5

I don't really have anymore explanation I could give you because that just what I could think of!

Answer: I think D. Sin A…..

Step-by-step explanation: hope this helps:)

Data analysts pay attention to sample size in order to achieve what goals? select all that apply.

Answers

The practise of extracting information from data to guide better business decisions is known as data analysis. Five iterative phases typically comprise the data analysis process:

Choose the data you want to examine.

gather the data

Clean up the data before analysis.

Study the information

Interpret the analysis' findings

It is common knowledge that data analysts focus on the sample size in order to

To prevent a few outlier responses from distorting the results

ensuring that the data reflects a variety of viewpoints

to prevent making erroneous conclusions due to a tiny sample size

An analyst of data is who?

An individual involved in the handling of data is referred to by this phrase.

Such a person aids in the analysis, retrieval, and drawing of conclusions from the information at hand.

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.. who. staple. food of the Vedic Aryan was ?

A) Barley and rice. B) MMilk

Answers

Answer: b

Step-by-step explanation:  ias  chinadu  

B because that's the VA which would be intellectually specialist.

Chris buys a new car for $24000, if he pays $1200 in taxes, what is the effective tax rate?

Answers

Answer:

Step-by-step explanation:

The effective tax rate is the amount of tax paid as a percentage of the total purchase price. To calculate the effective tax rate, you can divide the amount of tax by the total purchase price and multiply the result by 100 to get the answer as a percentage.

In this case, the effective tax rate would be:

(1200 / 24000) * 100 = 5%

So Chris's effective tax rate on the purchase of his car is 5%.

Marvin was 1.55m tall a year ago. now,he is 1.62m tall. find the percentage increase in Marvin's height correct to 2 decimal places​

Answers

Answer:

4.52 %

Step-by-step explanation:

the percentage increase in height is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

increase in height = 1.62 - 1.55 = 0.07 ,

then

% increase = [tex]\frac{0.07}{1.55}[/tex] × 100% = 0.045.. × 100% ≈ 4.52% ( to 2 decimal places )

PLEASE HELP WITH CHART:

Answers

You can fill in the rest of the table as shown below.

How to fill in the rest of the table?

The derivative of a function is a concept from calculus that measures the rate of change of a function at a specific point. It provides information about how the value of the function changes as its input changes.

Use the following differentiation rules to fill the table:

d/dx(f(x)·g(x)) = f(x)·g'(x) + f'(x)·g(x)         (product rule)

d/dx(f(x)/g(x)) = [ g(x)·f'(x) - f(x)·g'(x) ] / [(g(x))²]   (Quotient rule)

d/dx(g(x)/f(x)) = [ f(x)·g'(x) - g(x)·f'(x) ] / [(f(x))²]     (Quotient rule)

x    f(x)   f'(x)   g(x)  g'(x)    d/dx(f(x)·g(x))     d/dx(f(x)/g(x))    d/dx(g(x)/f(x))

0    3       -2    -4     3            17                      -1/16                    1/9

1     2       -1      1      0            -1                         -1                      1/4

2    4        2     3      1            10                       2/9                    -1/8

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Find GI, AGI, TI...
Given:
Wages : $145,000
Interest : $2500,
Contribution towards the retirement: $3000
Exemptions: $4100
Deductions: $2800

-Thanks!

Answers

The GI (Gross Income) is $147,500, AGI (Adjusted Gross Income) is $144,500, and TI (Taxable Income) is $137,600.

What is Interest?

Interest is the income that is returned to the holder of capital. Different kinds of interest include gross interest and net interest.

To find GI (Gross Income), we add wages and interest:

GI = Wages + Interest = $145,000 + $2500 = $147,500

To find AGI (Adjusted Gross Income), we subtract the contributions towards retirement from GI:

AGI = GI - Contributions towards Retirement = $147,500 - $3000 = $144,500

To find TI (Taxable Income), we subtract exemptions and deductions from AGI:

TI = AGI - Exemptions - Deductions = $144,500 - $4100 - $2800 = $137,600.

Therefore, the taxable income is $137,600.

Hence, GI (Gross Income) is $147,500, AGI (Adjusted Gross Income) is $144,500, and TI (Taxable Income) is $137,600.

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6. Application Juanita, who is 1.82 meters tall, wants to
find the height of a tree in her backyard. From the
tree's base, she walks 12.20 meters along the tree's
shadow to a position where the end of her shadow
exactly overlaps the end of the tree's shadow. She is
now 6.10 meters from the end of the shadows. How
tall is the tree?

Answers

The height of tree is 9.9372.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Given;

Juanita is 1.82 meters tall

From the tree's base, she walks 12.20 meters along the tree's shadow to a position where the end of her shadow.

She is now 6.10 meters from the end of the shadows.

Now,

Let, h be the height of the tree;

Here, ΔABC ~ ΔADE,

So, DE/BC = AD/AB

h/1.82 = (6.10 + 12.20)/6.10

h/1.82= 18.30/6.10

h=33.306/6.10

h=5.46

h = 1.82*5.46

= 9.9372

Therefore, by congruency of triangle the answer will be 9.9372.

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Without solving, determine the character of the solutions of the equation in the complex number system.
3x^2 + 7×=3.
(Simplify your answer.)

Answers

Answer:

Step-by-step explanation:

To determine the character of the solutions of the equation in the complex number system, we need to analyze the nature of the coefficients of the equation, specifically the discriminant, which is obtained by the equation: b^2 - 4ac, where a, b and c are the coefficients of the equation.

In this case, the equation is

3x^2 + 7x - 3 = 0

So, the coefficients are a = 3, b = 7, and c = -3.

We can now calculate the discriminant as follows:

b^2 - 4ac = 7^2 - 4 * 3 * -3 = 49 + 36 = 85

Since the discriminant is positive, we know that the equation has two distinct real solutions. The exact solutions can be obtained using the quadratic formula, but that's not required to determine the character of the solutions.

Therefore, the equation has two real solutions.

Sherri saves nickels and dimes in a coin purse for her daughter. The total value of the coins in the purse is $0.95. The
number of nickels is 2 less than 5 times the number of dimes. How many nickels and how many dimes are in the coin
purse?

Answers

Let's represent the number of dimes in the coin purse as d. Then, the number of nickels in the coin purse can be represented as 5d - 2.

The total value of the coins can be expressed as:

0.05 * (5d - 2) + 0.10 * d = 0.95

Expanding and simplifying the equation, we get:

0.05 * 5d - 0.05 * 2 + 0.10 * d = 0.95

0.50d - 0.10 = 0.95

0.50d = 1.05

d = 2.10

Since the number of dimes must be a whole number, we round d down to 2. So, there are 2 dimes in the coin purse and 5 * 2 - 2 = 6 nickels in the coin purse.

someone help me please and thank you

Answers

Ordinal data can be ordered, as the naming implies. Both have "ord" to help remember the connection. An example of this would be something like small, medium, large. The items do not have to be numeric in nature.

Nominal data is any category or name. Order isn't present here. For example, if a survey asked about a person's favorite color, then there isn't any inherent order here.

PLS HELPP

louise has planted 96 shrubs. the garden centre guaranteed her that at least 7/8 of the shrubs would survive. What is the minimum number od shrubs that should survive?

Answers

Answer:

84

What is a fraction?

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

We can first convert 96 into a fraction.

96 = [tex]\frac{96}{1}[/tex]

Now that we know this, we can solve for the number of shrubs. If we know that at least [tex]\frac{7}{8}[/tex] of the shrubs should survive, we can use an equation that looks like this:

([tex]\frac{7}{8}[/tex]) × ([tex]\frac{96}{1}[/tex]) =?

Solving the equation:

([tex]\frac{7}{8}[/tex]) × ([tex]\frac{96}{1}[/tex]) = 84

Therefore, the minimum number of shrubs that should survive is 84.

Identify the number types that describe .
O A. Rational, integer
OB. Real, rational
O C. Real, integer
OD. Real, irrational

Answers

The type of number types that are being described are A. Rational, integer.

What is a Rational Number?

A rational number in mathematics is one that can be stated as the quotient or fraction of two integers, p and q, with p being the numerator and q being the denominator, respectively.

Therefore, whole numbers are the numbers 0, 1, 2, 3, 4 and so on and negative numbers are not considered whole numbers.

natural numbers are called the counting numbers that are the numbers 1, 2, 3, 4, and so on. they are positive numbers and zero is not considered a natural number as you can see.

integers are all the whole numbers and their opposite (negative) but negative numbers are NOT whole or natural numbers. fractions and decimals are not integers.

irrational numbers are an infinite number of digits to the right of the decimal point, without repeating.

Thus, option A is the answer

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Classify the real number. (Choose all that apply). –9 A.) Rational B.) Whole C.) Irrational D.) Natural E.) Integer

Can anybody help me with question 20 please?

Answers

Answer:

N?A

Step-by-step explanation:

or problems 2-7, find the slope of the line.
1.
1.
-10
-10
2 PRACTICE
y
y
10
10
3.
y
10
H
5.
-10-
y
10
2
+
10
Copyright ©Great Minds PBC

Answers

The slope of the line in graph 2 is equal to 1.

The slope of the line in graph 3 is equal to 1/2.

The slope of the line in graph 4 is equal to 3/4.

The slope of the line in graph 5 is equal to 3.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (7 - 2)/(7 - 2)

Slope, m = 5/5

Slope, m = 1.

For the line in graph 3 with the given data points, we have:

Slope, m = (3 + 2)/(6 + 4)

Slope, m = 5/10

Slope, m = 1/2.

For the line in graph 4 with the given data points, we have:

Slope, m = (6 - 0)/(8 - 0)

Slope, m = 6/8

Slope, m = 3/4.

For the line in graph 5 with the given data points, we have:

Slope, m = (6 - 0)/(2 - 0)

Slope, m = 6/2

Slope, m = 3.

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A child is allowed to pick three candy treats from a bin of 15 different candies. How many ways can the child select 3 treats?

Answers

The number of ways for the child to select 3 treats is given as follows:

455 ways.

What is the combination formula?

The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The order in which the treats are chosen is not relevant, hence the combination formula is used to solve this question.

Three treats are chosen from a set of 15, hence the number of ways is given as follows:

C(15,3) = 15!/(3! x 12!) = 455 ways.

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Given one form of a sequence, write the other form an= an-1 -4

Answers

In the algebra on of the form of sequence is arithmetic progression or sequence which is described below.

What is an arithmetic sequence?

In the arithmetic sequence  the common difference between any two consecutive terms remains constant .

In this sequence we can get the next term by adding one fixed value which is known as a common difference. It is also known as arithmetic progression(AP).

Formula for any nth term in AP,

T = a + nd

d = T₂-T₁

Where, a is first term , n is nth term and d is common difference

If aₙ = aₙ₋₁  -4

where aₙ is a nth term and aₙ₋₁ is a (n-1)th term

Now,

a + nd  = a + (n-1-1)d - 4

nd   = (n - 2)d - 4

nd = nd -2d - 4

2d = -4

d = -2

So, aₙ = a -2n

aₙ₋₁ = a -2(n - 2)

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Find the equation of the line with slope 7 which goes through the point (−2,−9).

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 7}(x-\stackrel{x_1}{(-2)}) \implies y +9= 7 (x +2) \\\\\\ y+9=7x+14\implies {\Large \begin{array}{llll} y=7x+5 \end{array}}[/tex]

0
A
B
A"
C'
B'
2. What is the relationship among AC, A'C', and A"C"?
B"

Answers

Relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides

What is Graph?

a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

To widen or enlarge an opening or hollow structure beyond its usual size in simple way changes the the size.

The scale factors is the factor in which each linear measure of the figure is multiplied.

AC is a smaller triangle which is dilated to get A'C' and this A'C' is dilated to get A''C''.

the relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides with a scale factor.

Hence,  relationship among AC, A'C', and A"C'' is all the three sides are corresponding sides

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Match each polynomial on the left with its two factors on the right.
x³-27
x² +27





x+3
x-3
x² + 3x +9
x² + 3x-9
x²-3x+9
x²-3x-9

Answers

Answer:

hi

Step-by-step explanation:

[tex]x {}^{3} - 27 = {x}^{3} - {3}^{3} \\ = (x - 3)( {x}^{2} + 3x + 9) \\ {x}^{3} + 27 = {x}^{3} + {3}^{3} \\ = (x + 3)( {x}^{2} - 3x + 9)[/tex]

HELP ASAP!!! WILL MARK BRAINIEST

Answers

The value of the network density is 0.9

How to determine network density?

Since the potential connections (PC) formula is n(n-1)/2 and number of nodes is 5 (i.e. n = 5). We have:

PC = n(n-1)/2

PC = 5(5-1)/2

PC = (5*4)/2

PC = 20/2

PC = 10

Actual connection (AC) = 9

Network Density = AC/PC

Network Density = 9/10

Network Density = 0.9

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Simplify the given trigonometric expression (sin (30° + x)+sin (30° - x))

Answers

The simplified expression is cos(x) of trigonometric expression  (sin (30° + x)+sin (30° - x))

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can simplify this expression using the sum-to-product formula for sine:

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Let's use this formula by setting a = 30° and b = x:

sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)

We know that sin(30°) = 1/2, so we can substitute:

sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)

sin(30° + x) + sin(30° - x) = cos(x)

Therefore, the simplified expression is cos(x).

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What are the coordinates of (-5,6) after a dilation of 2 centered at the origin

Answers

Answer:

(-10, 12).

Step-by-step explanation:

A dilation with a scale factor of 2 centered at the origin expands distances from the origin by a factor of 2. If a point in the plane is represented by the coordinates (x, y), then the point obtained by a dilation centered at the origin with scale factor k is represented by (kx, ky).

So, if the original point is (-5, 6), then after the dilation of 2 centered at the origin, the new point is represented by (2 * -5, 2 * 6) = (-10, 12).

So the coordinates of (-5, 6) after a dilation of 2 centered at the origin are (-10, 12).

Complete the sentence below.
325 is a hundred times bigger than

Answers

3.25 should be the answer as you divide it by 100

Answer:

325 is a hundred times bigger than 32500

Step-by-step explanation:

if it is ten times bigger, add one 0 at the end

if it is one hundred times bigger, add two 0 at the end

Isosceles trapezoid KRWT is shown

Given KRWT is an isosceles trapezoid with KR and TW
Prove: WK = TR

An incomplete two-column proof is shown

Answer Choices:
- - - -
What is the missing statement in step 3

More info is in the picture
Thank you for any help!

Answers

The angles ∠KTW and ∠RWT are congruent with each other and WK = TR. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In isosceles trapezoid KRWT, the trianngles are ΔKTW and ΔRWT are formed.

In trianngles ΔKTW and ΔRWT, then we have

KW = TR        {Given}

∠W = ∠T       {Isosceles angles}

WT = WT       {Common side}

Then the trianngles ΔKTW and ΔRWT are congruent to each other.

The angles ∠KTW and ∠RWT are congruent with each other and WK = TR. Then the correct option is C.

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Out of 1000 students who appeared for C.A. Intermediate Examination, 750 failed in Math, 600 failed in Accounts and 600 failed in Costing, 450 failed in both Math & Accounts, 400 failed in both Math & Costing, 150 failed in both Accounts & Costing. The Students who failed in all the three Subjects were 75. Prove that the above data is not correct.

Answers

Yes, the data provided is not correct. This can be proven using the principle of inclusion-exclusion.

According to the given data, the total number of students who failed in Math is 750, the total number of students who failed in Accounts is 600, and the total number of students who failed in Costing is 600.

However, if we apply the principle of inclusion-exclusion, the total number of students who failed in at least one of the three subjects should be equal to the sum of the number of students who failed in each subject, minus the number of students who failed in two subjects, plus the number of students who failed in all three subjects.

Therefore, using this principle, we have:

750 + 600 + 600 - 450 - 400 + 75 = 975

This result shows that the number of students who failed in at least one of the three subjects is 975, which is greater than the total number of students who appeared for the examination (1000), which is not possible.

Therefore, the given data is not correct.

Someone tell me that if you have 5 apples and the next day you got 10 times as many apples you had. Use the Property "Distributive Property of Multiplication"

Answers

Answer:

10x = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

Step-by-step explanation:

Distributive property of multiplication says every element within every pair of elements is added and multiplied to each other. So the value of 10 times that of 5 is 50.

Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.



-1/3
-3
-1

Answers

The slope of the line on the graph is equal to: A. -1/3.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (-2, 4).

Points on y-axis = (2, 0).

Substituting the given data points into the slope formula, we have the following;

Slope, m = (0 - 2)/(4 + 2)

Slope, m = -2/6

Slope, m = -1/3.

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If you toss 10 fair coins, in how many ways can you obtain at least one head and one tail?

Answers

Answer:1/2 head and 1/2 tails

Step-by-step explanation: no.of experiments for heads = 5

total no of experiments=10

probability=5/10=1/2

no.of experiments for  = 5

total no of experiments=10

probability=5/10=1/2

Which of the following relations is a function?

Answers

Answer:

b

Step-by-step explanation:

make sure the y axis doesnt repeat

Other Questions
A pre-deployment message appears at the start of a patch job. You have to create a deployment job for a windows user wherein he will receive a notification message to the user indicating that a reboot is required. What communication option will you select? A new element with four naturally occurring isotopes has an average atomic mass determined to be 69.3680amu. The first three isotopes have relative abundances of 24.36%, 33.56% and 10.22% and masses of 69.321amu, 69.3863 amu, and 69.8741 amu respectively What is the mass of the fourth isotope? what amendment gives the right to not self-incriminate? project managers often focus their valuable resources on ensuring the timely completion of activities on the critical path in a project. which of the following statements concerning such activities is true? group of answer choices the earliest start (es) and latest start (ls) time for critical activities are always equal to each other. the duration of the shortest path through a project's network diagram determines the length of the project and is called the critical path. activities on the critical path may have positive or negative slack as long as the overall slack time of the critical path is zero. to successfully complete a project in the least amount of time, a project manager only needs to complete the activities on the critical path. The dependence of the rate constant on temperature is expressed by which equation The Arrhenius equation. The de Broglie equation. The van't Hoff equation. Temperature has no effect on the rate constant. Which government agency is responsiblefor enforcing RCRA?A. USGSB. EPAC. NPSD. NOAA Which stage involves assigning meaning to events?O SelectionOrganizationO Interpretation-Evaluation What term refers to a way of finding a peaceful and agreeable solution when theres a disagreement?Group of answer choicesA. active listeningB. conflict resolutionC. leadershipD. non-verbal communicationTHIS IS CRITICAL THINKING!!! How does the race of the victim come into decisions about sentencing? Can someone Solve this?- 2 ( m + 1 ) = 10 At the end of The Cask of Amontillado, the reader is never told exactly what happens to Fortunato after Montresor finishes building his wall. What do you think goes through Fortunatos mind after he realizes what has happened? Why doesnt he try to reason with Montresor? Why doesnt he threaten him? Use what you know about Fortunato to write a 2-3 paragraph monologue (an extended speech by one character), retelling the last part of the story from his point of view. Remember that as far as we know, Fortunato does not make it out of the catacombs alive the general plan for selecting participants, assigning participants to experimental conditions, controlling extraneous variables, and gathering data is known as the what are the grain components that are sometimes used because they are gluten free? the space between the parietal layer and visceral layer of the pericardium contains ______.pericardial fluidfilm of serous fluidpericardial cavityserous membranes PromptWhat words have you learned so far that have Ls, Fs, Ps, Ms, and Ns in them? 2The area of a rectangular window is 3726 cm.If the length of the window is 69 cm, what is its width?Width of the window: cm The best alternate headline for this article would be A. Japanese-American Veterans Faced Prejudice During War B. World War II Veterans Reunite, Celebrate Lifelong Bond C. World War II Veteran Recalls Fateful Day in France D. Japanese-American Soldiers Given Toughest Assignments SalesSales discountsSales returns and allowancesCost of goods soldCarrierLennoxTraneYork$ 155,000 $ 650,000 $43,000 $ 262,0003,00014,50019,0006,0003,900800131,22389,775406,6576004,40029,640 We will flip a balanced coin 3 times and for each toss, record whether we get a head or a tail. Write all possible outcomes of this experiment to find the probability that we get exactly 1 head. At what point in the story does the reader get a clear idea of who the characters are becoming?(1 point) Responses when the main problem arises when the main problem arises when the author first reveals a characters thought when the author first reveals a characters thought when the problem is resolved when the problem is resolved when a new character is introduced