Are thegraphs of the equations parallel, perpendicular, or neither? y = -5x and 25x + 5y = 1

Answers

Answer 1

The slope intercept form of the equation of line is written as

y = mx + c

where

m represents slope

c represents y intercept

For the first equation,

y = - 5x

Slope, m = - 5

For the second equation,

25x + 5y = 1

5y = 1 - 25x

5y = - 25x + 1

Dividing both sides of the equation by 5, it becomes

y = - 5x + 1/5

Slope, m = - 5

If the slope of two equations are equal, it means that the lines are parallel. Since the slope of both equations is - 5, then they are parallel

They are parallel


Related Questions

Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT

Answers

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Which are the better statistics to use to compare the penguin heights?

Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
A
(in cm)

35 36 37 38 39 40 41 42 43 44 45

35 36 37 38 39 40 41 42 43 44 45
XO A. Median and standard deviation

B. Mean and standard deviation

C. Median and IQR

D Mean and IQR

Which are the better statistics to use to compare the penguin heights?Penguin Heights at Cityview Zoo(in

Answers

The better statistics to use to compare the penguin heights is the median and standard deviation. The correct options are A and B.

What is a mean?

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

The Penguin Heights at City view Zoo (in cm) is:

S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}

Compute the mean and median of the data:

Mean = ( 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 +  44 + 45 ) / 11

Mean = 40

Median = 40

The mean and median are the same. This implies that the height of penguins is normally distributed.

So, either the mean or median could be the best measure of the centre.

One measure of a dataset's spread or dispersion from its average value is its standard deviation. The standard deviation calculates the distribution of values' absolute variability.

The standard deviation increases as the spread or variability of the data set increases, which also increases the magnitude of the value's deviation from the average.

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5sq km95 ha8,994sq m+11sq km11 ha9,010sq m

Answers

type english is the answer ok just learn HOW TO TYPE ENGLISH

Answer:

iou213 hr2938ru 298rh243 ru23y

Step-by-step explanation:

po2iu4jrt 2r 23r9p23 r,

r24lon24 f23 r293hr,

dgngo34 9,

Therefore, iou213 hr2938ru 298rh243 ru23y

Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.

Answers

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

poonam wants to invest in an account today
to have $4000 at the end of 8 years.
If she can invest at 4.25% Compounded
Semi-annually, how much does she need
to invest?

Answers

Answer:

2055.15

Step-by-step explanation:

A(1+r)^n=4000

A is the money that she need to invest

r is rate

n is the time( depend on monthly or yearly rate)

A(1+4.25%)^16=4000

A=2055.15

1. Solve using any method:
2x – 3y = -2
4x + y = 24

Answers

Answer:

\(x=5,y=4\)

Step-by-step explanation:

\(2x-3y=-2\)

Add 3y to both sides:

\(2x-3y+3y=-2+3y\)

\(2x=-2+3y\)

Divide both sides by 2:

\(\frac{2x}{2}=-\frac{2+3y}{2}\)

\(x=\frac{-2+3y}{2}\)

Substitute this into the second equation:

\(4* \frac{-2+3y}{2}+y=24\)

\(2\left(3y-2\right)+y=24\)

\(7y-4=24\)

Add 4 to both sides:

\(7y-4+4=24+4\)

\(7y=28\)

Divide both sides by 7:

\(\frac{7y}{7}=\frac{28}{7}\)

\(y=4\)

We know that \(x=\frac{-2+3y}{2}\)

Thus, \(x=\frac{-2+3* \:4}{2}\)

\(x=\frac{10}{2}\)

\(x=5\)

Answer:

using elimination rule

multiply equation 2 by 3

we get, 12x+3y=72

now solve both equation

2x-3y= -2

(+)12x+3y=72

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

14x=70

x=70/14=5

put value of x in any of the equation y=4

mark its as brainliest!!!!

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?

Answers

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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pls help, i need this in 5 mins!

pls help, i need this in 5 mins!

Answers

Answer:

85

Step-by-step explanation:

pls help, i need this in 5 mins!

Here are the cost of tickets at a cinema venue

Here are the cost of tickets at a cinema venue

Answers

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Solve the inequality for x and identify the graph of its solution. 2|x + 1| <4​

Answers

Answer:

8

Step-by-step explanation:

1. The population of a town was 112 in 2014. The population doubles every year.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.

(b) Estimate the population of the town in 2023.
Show your work.
Answer:

1. The population of a town was 112 in 2014. The population doubles every year.(a) Use the exponential

Answers

Answer: 2048

Step-by-step explanation: 1. Write the exponential growth model.

The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.

2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048

Therefore, the estimated population of the town in 2023 is 2048.

HELP PLEASE IM GIVE BRAINLIST

HELP PLEASE IM GIVE BRAINLIST

Answers

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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what kind of teaching and learning materials that teacher can used to teach binary operations


what kind of teaching and learning materials that teacher can used to teach binary operations

Answers

HELP ASAP PLS QUICK HELP ASAP PLS QUICKLY
what kind of teaching and learning materials that teacher can used to teach binary operations

Answer:

Most significant digit. That's the same that it's called for any number system.

Step-by-step explanation:

someone help me pls

someone help me pls

Answers

Answer:

y=1/2x + 3

Step-by-step explanation:

The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!

Megan attends an online school. As part of a math project, she kept track of how many hours she spent at her computer each school day. This box plot shows the results. Time spent at computer (hr.) 0 2 4 6 8 10 What fraction of the time did Megan spend between 4 and 6 hours at her computer?

Answers

Using the box plot, it is found that Megan spend 50% of her time between 4 and 6 hours at her computer.

What does a box plot give?

The two bounds of a box plot are the 25th percentile and the 75th percentile, respectively. Hence, it gives the middle 50% of a distribution.

In this problem, the bounds are of 4 and 6 hours, hence, Megan spend 50% of her time between 4 and 6 hours at her computer.

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According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 96 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent

Answers

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

σ = 4.88

Can someone help with the picture please?

Can someone help with the picture please?

Answers

Answer:-12 degrees ferenheight

Step-by-step explanation:

Just add 13 to -25 to find the temp change.

Thus, 13-25= -12 degrees F

These shapes are similar.
Find X.
5
5
30
24
30

Answers

Answer: 4



Step-by-step explanation:

Match each term with its notation. Enter the number corresponding to the correct notation in the blank.


______:The number of treatment conditions
______:The number of scores in each treatment
______:The total number of scores in the entire study
______:The sum of the scores for each treatment condition
______:The sum of all of the scores in the research study
______:The F-ratio

1. G
2. k
3. n
4. T
5. n
6. F

Answers

Question:

Match each term with its notation. Enter the number corresponding to the correct notation in the blank.

______:The number of treatment conditions

______:The number of scores in each treatment

______:The total number of scores in the entire study

______:The sum of the scores for each treatment condition

______:The sum of all of the scores in the research study

______:The F-ratio

1. G

2. k

3. N

4. T

5. n

6. F

Answer:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Step-by-step explanation:

Here we are dealing with ANOVA notations.

ANOVA which is the short form for Analysis of Variance is a test in staristics used to compare two population samples to check if they are equal.

Here, we have the following ANOVA notations:

G, K, n, T, N, F

Where, G is said to be the sum of scores in the research study.

K is the number of treatment.

n is the number of scores in each treatment

T is the sum of scores for each treatment condition.

N is the total number of scores in whole study

F is the F-ratio.

Matching them with the terms given, we have the following:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Note the difference between "N" and "n"

Part AWhat is the mass in grams of 17.96 mL of acetone?Express your answer to four significant figures and include the appropriate units.mass = Value and UnitsPart BWhat is the volume in milliliters of 7.40 g of acetone?Express your answer to three significant figures and include the appropriate units.V = Value and Units

Answers

Part A:

Ans: Mass=14.11 g.

Given:

The volume of acetone, V=17.96 mL.

We know, the density of acetone, D=0.7857 g/mL.

The mass in grams of acetone is,

\(\begin{gathered} M=VD \\ =17.96\text{ mL}\times0.7857\text{ g/mL} \\ =14.11\text{ g} \end{gathered}\)

Therefore, mass of acetone in grasm rounded upto four significant figures is 14.11 g.

Mass=14.11 g.

Part B:

Ans: V=9.42 mL

Given

The mass of acetone, M=7.4 g.

We know, the density of acetone, D=0.7857 g/mL.

The volume in mL of acetone is,

\(\begin{gathered} V=\frac{M}{D} \\ =\frac{7.40\text{ g}}{0.7857\text{ g/mL}} \\ =9.42\text{ mL} \end{gathered}\)

Therefore, voulme of acetone in mL rounded upto three significant figures is 9.42 mL.

Volume, V=9.42 mL

Help quick!like really quick

Help quick!like really quick

Answers

Answer:

2 is 2930in²

Step-by-step explanation:

Use the equation below to find T, if W=62, m=4, and a=6

Answers

Yes she can do that she is going in and 14586757

Answer:

T = 38

Step-by-step explanation:

T = 38 because:

1) Plug in all the variables into the equation

Equation: T = 62 - 4(6)

2) Next, solve the equation. First, do multiplication because of order of operations.

Equation: T = 62 - 24

3) Now just subtract 62 and 24

Equation: 38 = 62 - 24

Therefore, T = 38

Hope this helps! :D

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
60
25

Answers

Answer:

65

Step-by-step explanation:

C^2= A^2 + B^2

C^2 = (60)^2 + (25)^2

C^2 = 4225

Take the square root of C

C = 65

Answer:

65

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.

\(a^2+b^2=c^2\)

I'm assuming that '60' and '25' are measures of the legs, since the question asks to find the hypotenuse.

\(60^2+25^2=c^2\\\rightarrow 60^2=3600\\\rightarrow 25^2 = 625\\3600+625=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\\boxed{65=c}\)

The hypotenuse should measure 65 units.

.2. The International calls tariffs of Telkom are given in the following table.
Number of minutes
3
5
9
Y
Costs
R4.95
R8.25
X
R28.05

Answers

The following table lists Telkom's rates for international calls. Number minutes needed for \(x\) to be \(17\)and \(y\) to be \(14.85\).

Do numbers have any symbolic significance?

Many numbers have deeper symbolic connotations in addition to their spiritual significance, and it is crucial to grasp these meanings in order to comprehend how they influence other cultures' perceptions of the physical world.

What may seeing 333 represent for you personally?

According to Wilder, any sequence of consecutive threes is probably a sign of good fortune or a shift in your job, achievement, aspirations, or emphasis. According to Wilder, the number 333 is frequently a signal that you should have faith in your ability to make the next move.

Let\(y=k*b\)

When \(x=3, y=4.95, x=5, y=8.25\)

\(4.95=3k+b\)

\(8.25=5k+b\)

\(k=1.65\)

\(b=0\)

\(y=1.65x\)

when \(x=9\)

\(y=1.65*9 = 14.85\)

when \(y=28.05\)

\(x=y/1.65=28.05/1.65=17\)

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The complete and the correct form of question is:

The International calls tariffs of Telkom are given in the following table:

Number of minutes         3                  5                   9                     y

Cost                               R4.95          R8.25              X                R28.05

Determine the cost of 9 minute call

I need the area choices below

I need the area choices below

Answers

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?

Answers

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

\(T=15+4x\)

Divide the total charges by number of miles to get the cost per mile.

\(\text{Cost per mile}=\dfrac{15+4x}{x}\)

Average cost per mile is $4.60.

\(4.60=\dfrac{15+4x}{x}\)

\(4.60x=15+4x\)

\(4.60x-4x=15\)

\(0.60x=15\)

Divide both sides by 0.60.

\(x=\dfrac{15}{0.60}\)

\(x=25\)

Therefore, the required number of miles is 25.

you have a bill of $56.40.find a 20% tip?​

Answers

Answer:

11.28

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Let f(x) = (x – 10)^9– 5, determine f^-1(x)

Answers

Solution

- We are asked to find the inverse of the function below:

\(f(x)=(x-10)^9-5\)

- The solution steps for finding the inverse is given below:

\(\begin{gathered} Let\text{ }f(x)=y \\ \\ y=(x-10)^9-5 \\ \\ \text{ Add 5 to both sides} \\ y+5=(x-10)^9 \\ \\ Take\text{ the 9th root of both sides} \\ \sqrt[9]{y+5}=x-10 \\ \\ \text{ Add 10 to both sides} \\ x=\sqrt[9]{y+5}+10 \\ \\ \text{ Thus, if we make x = y and y = x, we have that} \\ \\ y=\sqrt[9]{x+5}+10 \\ \\ Let\text{ }y=f^{-1}(x) \\ \\ \therefore f^{-1}(x)=\sqrt[9]{x+5}+10 \end{gathered}\)

Final Answer

The inverse of function f(x) is:

\(f^{-1}(x)=\sqrt[9]{x+5}+10\)

Find m These questions getting hard

Find mThese questions getting hard

Answers

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Find mThese questions getting hard

Is the quotient of -125 and five positive negative or zero

Answers

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

Answer:

Step-by-step explanation:

= -125 ÷ 5

= -25

It's negative

Other Questions
Given the function h(x) below, select the answer choice which correctly decomposes h(x) into component functions f(x) and g(x) so that h(x)=f(g(x)).h(x)=(3x5)2 Question 9 options:h(x)=f(g(x)), where f(x)=x2 and g(x)=3x5h(x)=f(g(x)), where f(x)=3x and g(x)=(x5)2h(x)=f(g(x)), where f(x)=3x2 and g(x)=x5h(x)=f(g(x)), where f(x)=x5 and g(x)=3x2h(x)=f(g(x)), where f(x)=3x5 and g(x)=x2 Suppose a firm has a fixed cost of 1000 , and a constant marginal cost 2000. Then the firm's average total cost curve is a) decreasing. b) increasing. c) u-shaped. d) flat. Calling the push_back() function will always increase the size of the vector (i.e., the value returned by the capacity vector function) 1. Calling the push_back() function will always increase the capacity of the vector (.e., the value returned by the capacity vector function). O 1. True 2. False O 1. False 2. False O 1. False 2. True O 1. True 2. True use the idea below to write a sentence using alliteration1. a big storm2. a green car3. a treeplease help me How was the voting conducted when voting on Virginia plan!!!!A) by mail B) out loud C ) on ballots D ) there was no vote PLEASE HELP Victor Hugo (Feb. 26, 1802-May 22, 1885) was a French poet, playwright, novelist, statesman, human activist and possibly the most influential writer of the Romantic Movement in France.Hugo is sometimes called the greatest poet. His best-known works outside France are the novels Les Misrables and Notre-Dame de Paris (translated in English as The Hunchback of Notre Dame).Victor Hugo is thought by many as the best poet of French romanticism (a style in the 1800s that emphasized a free form of writing, expressed strong emotions and experiences of the common people). He had such an incredible talent that it was easy for him to produce a lot of plays, poems and novels.His work touches upon most of the political and social issues of his time. He was a fervent defender of freedom, social injustice and freedom of the press and spoke against the death penalty.When Louis Napolon (Napolon III) seized complete power in 1851 and established an anti-parliamentary constitution, Hugo openly declared him a traitor to France. Fearing for his life, he fled to Brussels, then the channel island of Jersey and finally settled with his family on the island of Guernsey where he lived in exile until 1870.He was able to convince the government of Queen Victoria to spare the lives of six Irish people convicted of terrorist activities and his influence was credited in the elimination of the death penalty from the constitutions of Geneva, Portugal and Columbia.His writing had a deep impact on others writers. His humanism inspired the Russian writer Tolstoy in particular.He had a great love and compassion for children as reflected in a lot of his works.Even though Napoleon III granted amnesty to all political exiles in 1859, Hugo declined, as it meant he would have had to reduce his criticisms of the government. It was only after Napolon III fell from power and the Third Republic was proclaimed that Hugo decided to return to his homeland in 1870, where he was elected to the National Assembly and the Senate.Victor Hugos death on 22 May 1885, at the age of 83, brought intense national mourning. He was not only revered in French literature but was also internationally recognized as a statesman who had helped preserve and shape the Third Republic and democracy in France. More than two million people followed his funeral procession in Paris from the Arc de Triomphe to the Panthon where he was buried. He shares a crypt with two other great French writers Alexandre Dumas and Emile Zola.Now that you have read Victor Hugo's short biography, read one of his poems below and think about its meaning. Then write 2 paragraphs in English in the box provided.In the first paragraph, tell your teacher what you think about Victor Hugo and his influence in the world.In the second paragraph give your opinion of the poem. Make sure the words are yours. The paragraphs should have at least 5 sentences each.Les Enfants PauvresPrenez garde ce petit tre ;Il est bien grand, il contient Dieu.Les enfants sont, avant de natre,Des lumires dans le ciel bleu.Dieu nous les offre en sa largesse ;Ils viennent ; Dieu nous en fait don ;Dans leur rire il met sa sagesseEt dans leur baiser son pardon.Leur douce clart nous effleure.Hlas, le bonheur est leur droit.S'ils ont faim, le paradis pleure.Et le ciel tremble, s'ils ont froid.La misre de l'innocenceAccuse l'homme vicieux.L'homme tient l'ange en sa puissance.Oh ! quel tonnerre au fond des cieux,Quand Dieu, cherchant ces tres frlesQue dans l'ombre o nous sommeillonsIl nous envoie avec des ailes,Les retrouve avec des haillons !some help: Prenez garde = be careful en sa largesse = in his kindness nous en fait don = offers them to us effleurer = to touch lightly hlas = alas frle = frail sommeillons = (we) doze haillons = in rags pauvre = poorTRANSLATION:The Poor Children (or the Children of the Poor)Take heed of this small child of earth;He is great; he hath in him God most high.Children before their fleshly birthAre lights alive in the blue sky.In our light bitter world of wrongThey come; God gives us them awhile.His speech is in their stammering tongue,And his forgiveness in their smile.Their sweet light rests upon our eyes.Alas! their right to joy is plain.If they are hungry ParadiseWeeps, and, if cold, Heaven thrills with pain.The want that saps their sinless flowerSpeaks judgment on sin's ministers.Man holds an angel in his power.Ah! deep in Heaven what thunder stirs,When God seeks out these tender thingsWhom in the shadow where we sleepHe sends us clothed about with wings,And finds them ragged babes that weep!This English translation of "The Poor Children" was composed by Algernon Charles Swinburne (1837-1909). question 1 options: as a quality control inspector: you have previously believed a claim that 3.2% of items made on your production line are defective. to see if you should still believe this claim: you decide to do a two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective. in percentage form, and rounded to four digits past the decimal point: what is the approximate p-value of your test? answer: the approximate p-value of this test is % state your answer in percentage form. a percentage symbol is already provided. round your answer to four digits past the decimal point. include all four digits past the decimal point, even if some digits are zeros. include only your number for the answer. do not include any other information (such as another percentage symbol, or equal symbol, words, spaces, etc). Please I need this ASAP Falisari Corporation has computed the following unit costs for the year just ended:Direct material used $ 25 Direct labor 19 Variable manufacturing overhead 35 Fixed manufacturing overhead 40 Variable selling and administrative cost 17 Fixed selling and administrative cost 32 Which of the following choices correctly depicts the per-unit cost of inventory under variable costing and absorption costing? Variable Costing Absorption CostingA. $ 79 $ 119 B. $ 79 $ 151 C. $ 96 $ 119 D. $ 96 $ 151 E. None of the answers is correct. A shirt was originally priced at $45. The store is having a 35% off sale. How much will you pay for the shirt after the discount (not including tax) Gina is about to use a fire extinguisher on a small fire.What factor determines the type of extinguisher sheshould use? One hundred trout are seeded into a lake. Absent constraint, their population will grow by 80% a year. The lake can sustain a maximum of 2000 trout. Using the logistic growth model, calculate the number of trout after 1 year An object of mass 40kg moves with an acceleration of 10m/s2 calculate the force of the object Develop a paragraph that includes a claim and evidence supporting the claim. What is dystopia? What is the purpose of dystopian fiction? In The Giverpls help given the equation 9x+3Y=7 which equation is perpendicular to an equation with a y intercept of 12 Please answer. Thanks Consider a systemSwith inputx[n]and outputy[n]. This system is obtained through a series interconnection of a systemS1followed by a system S2. The input-output relationships forS1andS2arey1[n]=2x1[n]+4x1[n1]andy2[n]=x2[n2]+(1/2)x2[n3]wherex1[n]andx2[n]denote input signals. Determine the inputoutput relationship for systemS. if f (x) =x2-4x-6 find f(o) F(3) f(-2) show that f (1/2) f(7/2) and f(2-h) f (2+h) Choose all the correct answers.Which two of the following statements are correct? All the amendments to the Constitution are collectively known as the Bill of Rights. Some restrictions may be placed on Americans constitutional rights. Americans have the right to say or write anything they want. The Constitution protects individual rights through the Bill of Rights.