Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. 1 /x^2 + x^4

Answers

Answer 1

The partial fraction decomposition of the function is[tex]\\& \Rightarrow \frac{1}{x^2+x^4}=\frac{A}{x}+\frac{B}{x^2}+\frac{C x+D}{x^2+1}\end{aligned}[/tex]

In algebra, a rational fraction—that is, a fraction where the numerator and denominator are both polynomials—can be partially decomposed or expanded by adding a polynomial (potentially zero) and one or more fractions with a lower denominator to the original fraction.

In symbols, the partial fraction decomposition of a rational fraction of the [tex]{\textstyle {\frac {f(x)}{g(x)}},}[/tex]

[tex]{\displaystyle {\frac {f(x)}{g(x)}}=p(x)+\sum _{j}{\frac {f_{j}(x)}{g_{j}(x)}}}[/tex]

Where p(x) is a polynomial, [tex]g_{j}[/tex] for each j is a power of an irreducible polynomial (which cannot be factored into polynomials of positive degrees), and [tex]f_{j}[/tex] for each j is a polynomial with a smaller degree than this irreducible polynomial's degree.

The numerical values of the coefficients is [tex]\frac{1}{x^2+x^4}$[/tex].

Now,

[tex]$\begin{aligned} x^2+x^4 & x^2+x^4 \\ = & x^2\left(1+x^2\right)\end{aligned}$[/tex]

Therefore, the form of the partial fraction decomposition is

[tex]\begin{aligned}& \frac{1}{x^2\left(1+x^2\right)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C x+D}{x^2+1} \\& \Rightarrow \frac{1}{x^2+x^4}=\frac{A}{x}+\frac{B}{x^2}+\frac{C x+D}{x^2+1}\end{aligned}[/tex]

For more such questions on partial fraction decomposition:

https://brainly.com/question/29735402

#SPJ4


Related Questions

Find the surface area of the prism. Round to the nearest tenth if necessary.

Answers

Answer:

480

Step-by-step explanation:

First, lets solve for the area of the 3 rectangles in the prism

One can be found by doing 17*9. The other, 8*9, the last 15*9

Next, lets solve for the 2 triangles. This is found with...

1/2(8)(15). This turns out to be 60, and we multiply that by 2 since there are 2 of those triangles.

Add everything up:

72+153+135+120 = 480

Katelynn is excited about her trip to Chicago with her orchestra. She needs to raise $500 in order to go. She decides to make and sell scarves in order to fund her trip. In order to make each scarf, she will need $3 worth of yarn. If she plans on making 100 scarves, how much must she charge for each scarf in order to be able to pay for her trip?

Answers

Answer:

$8 each scarf

Explanation:

Let the selling price for each scarf be x,

Formula:

unit amount(selling price - cost price) = total profit

Stepwise:

100(x - 3) = 500

100(x) - 100(3) = 500

100x - 300 = 500

100x = 500 + 300

100x = 800

x = 8

10 points

help me, please!!!

Answers

Answer:

197.82 m^2

Step-by-step explanation:

The area of a circle is

a = πr^2  The radius is half of the diameter.  They give us the diameter so we need to talk half of that number to use for the diameter.  The diameter is the length from the center of the circle to the edge of the circle.

We will find the area of the big circle and  subtract out the area of the little circle to bind the blue area.

Outer circle

a = πr^2

a = 3.14(12)^2

a = 3.14(144)

a = 452.16

Inner Circle:

a = πr^2

a = 3.14(9)^2

a = 3.14(81)

a =254.34

Lastly, subtract 254.34 from 452.16 to get  197.82

All of the following are suggestions of things to do if you have time left after completing the test except:

Answers

The correct option is B. Reread the directions for each section.

If you have time left after completing the test don't reread the directions for each section.

What is meant previewing a test?

In order to find the various problem kinds and their point values during the test preview, you must read the complete test. Mark the questions that you can answer quickly and easily.

The benefits of previewing the test are-

You will probably be given credit for the answers even if you accidentally copied them from the scratch paper.Your effort on the scratch paper can earn you some points if a thoughtless mistake causes you to get the answer wrong.If you do make a mistake, it will be simpler to find it when the instructor goes through the test. By doing this, you can avoid making the same errors on your next exam.

Therefore, resolve each issue by re-entering the solution into the equation or performing the opposing operation needed to provide the appropriate response. Do not leave the testing room until the bell has rung or after you have gone over each problem twice.

To know more about Previewing, here

https://brainly.com/question/1144128

#SPJ4

The complete question is-

All of the following are suggestions of things to do if you have time left after completing the test except

A. Look at your answer sheet to make sure its filled properly

B. Reread the directions for each section

C. Return to the questioms you were unsure of

D. Make sure your answers correspond to the correct questions

Determine the perimeter of the figure.

Answers

Answer: 2x + 6y + 22 units

Step-by-step explanation:

The perimeter of a figure is the total length of all the sides of a figure.

Therefore, the perimeter can be found by adding up all the lengths of the figure.

Suppose that P is the perimeter of this figure, then

[tex]P = x+4+x+4+3y+7+7+3y\\[/tex]

Combining like terms, we get

[tex]P = 2x + 6y + 22[/tex]

Since we do not have any information on what the variables are, this is the perimeter of the figure.

Help me please



6. Find the LCM of 22a³b³c4 and 55abc.
O 110abc
O 77a³b³c¹
O 110a³b³c4
O 11a³b³c4

Answers

110a3b3c4 is yours answer.

Determine the equation of the parabola graphed below. A parabola is plotted, concave down, with vertex located at coordinates negative three and four.

Answers

The equation of parabola from graph is y = a(x + 1)² - 4.

According to the statement

we have to determine the parabola equation from the graphical representation.

So,

For this purpose we know that

Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

The general equation of parabola is y = a(x-h)2 + k

And The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

So, The equation of parabola from graph is y = a(x + 1)² - 4.

Learn more about equation of parabola here https://brainly.com/question/4061870

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative one and negative four.

#SPJ4

Arnold paid R2 599,99 for a car sound system in 1997 Assuming an average inflation rate of 7% per annum what did he pay for a sound system with the equivalent value in 2014

Answers

The value of the car in 2014 is 154709

How to determine the value?

The given parameters are:

Initial, a = 599,99

Rate, r = 7%

The value of the car in t years is

Value = a * (1 + r)^t

This gives

Value = 59999 * (1 + 7%)^t

2014 is 17 years from 1997.

So, we have:

Value = 59999 * (1 + 7%)^14

Evaluate

Value = 154709

Hence, the value of the car in 2014 is 154709

Read more about exponential functions at:

https://brainly.com/question/11487261

#SPJ1

Our company parking lot has cars, trucks, and motorcycles. The ratio of cars, trucks, and motorcycles is $4:3:2.$ If there are a total of $42$ cars and trucks, then how many motorcycles are there

Answers

There are 12 motorcycles in a company.

According to the statement

The ratio of cars, trucks, and motorcycles is 4:3:2.

The total number of cars and trucks is 42.

then

4x + 3x =42

7x = 42

x = 6.

now put these values in the ratio of vehicles.

Number of cars = 4*6 = 24

Number of truck = 3*6 = 18

Number of motorcycle  = 2*6 = 12

So, There are 12 motorcycles in a company.

Learn more about FACTORIZATION here

https://brainly.com/question/11434122

#SPJ4

Your team decides to erect 8 tent frames that can each hold a tarp to provide shade and cover if needed. The area under each tarp is 25 feet wide and 40 feet long, and the top of the tarp will run the length of your seating area. Your tarp needs a slope of to allow runoff in case of rain. The frame will be 10 feet high around the outside. 5. How high does the center of the frame need to be?

Answers

The height of the center of the frame has to be 15ft.

How to solve for the height of the frame

Slope of the tarp is given as 2/5

The height is said to be 10 feet

The width is given as 25

25/2 = 12.5

AB/BC = 2/5

AB/12.5 = 2/5

cross multiply to find AB

5AB = 25

AB = 5

The height = 10 feet + 5 feet

= 15 feet

Hence the center of the frame has to be 15 feet.

Read more on height here:

https://brainly.com/question/1739912

#SPJ1

1. The perimeter of a rectangle is 16cm, and the area of the same rectangle is 8cm^2. What is the diagonal length of the rectangle?
2. Kendrick rides his bike x miles per hour to school and it takes him x + 15 minutes to get there. If Kendrick lives 5.4 miles from school, how many minutes does it take for Kendrick to ride to school?

Answers

Answer:

Step-by-step explanation:

Find the area of the figure

Answers

Answer:

100

Step-by-step explanation:

Lets first find the area of the greater square:

[tex]8*14=112[/tex]

And now the area of the cut inside of the square:

[tex]3*4=12[/tex]

Now subtract the area cut from the area of the greater square:

[tex]112-12=100[/tex]

If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?

Answers

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

Learn more about speed from here brainly.com/question/10113134

#SPJ4

Jeri finds a pile of money with at least $200. If she puts $80 of the pile in her left pocket, gives away 1/3 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $200 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)

Answers

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

How to solve Inequality Word Problems?

We are told that Jeri finds a pile of money with at least $200.

Now, let x be  the additional amount over the  original amount of $200.

The greater side of the  inequality will be expressed as;

Original  pile  =  (200 + x)

After  she gives away $80 and as such she has;  (120 + x)

And  she gives (1/3)  of  this away  which means she will have;

=  (1/3) (120 + x)

Thus, she  must  have  (2/3)  of this left

=  (2/3)(120 + x) = amount in her right pocket

The lesser  side of the inequality is expressed as;

(x + 200)  -  200   =   x

Thus, we now have  that;

2[120 + x ]/3  >  x

240 + 2x  >  3x

240 > 3x - 2x

240 > x

x < 240

Thus, we can conclude that the original  amount could be on the interval   (200, 440)

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

Read more about Inequality Word Problems at; https://brainly.com/question/25275758

#SPJ1

please help V'W'is a translation of VW Write the translation rule.

Answers

Answer:

(x+11), (y+15)

Step-by-step explanation:

the point v gets translated 11 points to the right, so the translation is x+11.

Point v also gets translated 15 points up, so the translation is y+15

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to right. Write a cosine function, d

Answers

The cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds) is d(t) = 6cos([tex]\pi[/tex]t).

What is the principle of pendulum?

As long as its length is constant, a pendulum completes each swing (or oscillation) in precisely the same amount of time. Any particular pendulum oscillates for a fixed amount of time.

Calculation for the cosine function-

The given function is: cosine function, d = acos(bt).

As, the pendulum takes 1 second for the pendulum of a grandfather clock to swing a horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to right.

The total time 't' by the pendulum is 2 sec.

Calculate the angular speed of the pendulum by-

ω = 2[tex]\pi[/tex]f

   = 2[tex]\pi[/tex]×(1/2)

ω = [tex]\pi[/tex] which is 'b' value of the given function.

As given, the distance of the pendulum from the centre is half of the total distance.

a = 12/2

a = 6

Substitute the obtained values in the cosine function, d = acos(bt),

d(t) = 6cos([tex]\pi[/tex]t)

Therefore, the cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds) is  d(t) = 6cos([tex]\pi[/tex]t).

To know more about the basic principle of the pendulum, here

https://brainly.com/question/13868386

#SPJ4

The complete question is -

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds).

Answer:

a=6

The period is 2 seconds.

b=pi

t=0.5

d=4.243

Step-by-step explanation:

area of the ceiling of a room 4 metre high is 48 metre square if the area of four walls of the room is 112 m square calculate the length and breadth of a room.​

Answers

Answer:

Breadth=8

Length=6

OR

breadth = 6

length=8

Step-by-step explanation:

Area of 4 walls = 2(l+b)h

112=2.4(l+b)

112/8=l+b

14=l+b

l=14-b

Area of base or ceiling=l x b

48=(14-b).b

48=14b-b²

b²-14b+48=0

factorize it and we get

(b-6)(b-8)=0

taking b-6=0

b=6

l=14-6

l=8

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction measure of angle Z Y X Over 360 degrees EndFraction (pi r squared).

Circle Y is shown. Line segments X Y and Z Y are radii. Sector X Y Z is shaded.

Which best explains the formula?
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answers

The best explanation for the formula is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

What is the Area of a sector of a Circle?

The area of a sector of a circle equals measure of the central angle subtended by the sector over the angle measure of a full circle multiplied by the area of the circle.

A full circle has an angle measure of 360 degrees.

The area of a circle = pi(r²).

Therefore, the formula for the shaded sector of a circle would be represented by the formula: ∅/360 × πr².

Here, we have:

Central angle (∅) = measure of angle ZYX

Measure of full circle = 360 degrees

Area of a circle = πr². (area formula for the circle that contains the sector)

Therefore, the statement that best explains the formula, (m∠ZYX)/360 × πr², used for finding the shaded sector in the circle is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Learn more about the area of sector on:

https://brainly.com/question/22972014

#SPJ1

Answer:

its the first answer "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation: i got it right because im smort

Am what I’m writing is correct? I put 2+-2=0

Answers

The diagram ends at -2

The equation would be 2-4 = -2

Answer:

Step-by-step explanation:

Start on point 2

Ends on point -2

Then:

2 + a = -2

a = -2 - 2

a = -4

then the equation is:

2 + (-4) = 0

2 - 4 = 0

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

Answers

Figure ABCD was translated 2 units to the right so as to obtain figure A'B'C'D'

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Figure ABCD was translated 2 units to the right so as to obtain figure A'B'C'D'

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Corresponding Parts Of Congruent Figures Are Congruent
Please Help !!

Answers

The side lengths are given by SU = VX = 43 feet.The angle measure are given by m<S = m<V = 38°.

Corresponding parts of two congruent figures.

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Since we know that rigid motions preserve both the side length and angle measure, this ultimately implies that congruent segments have the same (equal) length.

Thus, line segment UV ≅ line segment XY i.e UV = XY and as such the side lengths are as follows:

SU = VX = 43 feet.

For the congruent angles, we have:

<J ≅ <K i.e m<J = m<K

m<S = m<V = 38°.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

I'm having a hard time with this question so someone help please

Answers

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

Law of Sines

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

Setup

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

Solution

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

Additional comment

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

If the probability of a student taking a math class is 0.70, the probability of taking a physics class is 0.30, and the probability of taking a math class and a physics class is 0.15, what is the probability of a student taking a math class or a physics class

Answers

The probability of a student taking a math class or a physics class is [tex]0.85[/tex] when the probability of a student taking a math class is [tex]0.70[/tex], the probability of taking a physics class is [tex]0.30[/tex], and the probability of taking a math class and a physics class is [tex]0.15[/tex]

How can we find the probability of taking math class or a physics class ?

Given in the question probability of the student taking class

[tex]p(M)=0.70\\p(P)=0.30\\p( M and P)=0.15[/tex]

So we use the probability union intersection formula

[tex]p(M or P)=p(M)+p(P)-p(M and P)[/tex]

Substitute the values

[tex]p(M or P)=0.7+0.3-0.15\\=0.85[/tex]

Learn more about probability here :

https://brainly.com/question/28045837

#SPJ4

Which of the following aquatic organisms is classified as a fish?
whale
jellyfish
octopus
shark
I think the octopus is right but i am not sure !

Answers

Answer:

Shark

Step-by-step explanation:

They have gills,scales,swim bladders to float,most produce eggs and also in ectothermic.

Answer:  Shark

======================================================

Further explanation:

Whales are not fish. This is a common misconception many people have (the same goes for dolphins as well). Whales are mammals that don't have gills, which is why they occasionally come to the surface for oxygen. Despite "fish" being literally right in their name, jellyfish aren't fish. It's confusing I know. Jellyfish belong to the phylum Cnidaria, while fish belong to the phylum Chordata. Octopus aren't fish either. They are molluscs and are related to animals like snails, squid, and slugs.Sharks are fish. They have gills and fins like any other fish does.

you can afford to invest $150 per month in an annuity that earns 4% per year, compounded monthly. How long will it take before your investment is worth $6000?

Answers

The time it will take before your investment is worth $6000 = 7 years

Calculation of simple interest

The amount of money invested per month = $150

Therefore the amount principally invested yearly;

= 12 × 150 = $1,800

Simple interest = $6000

Rate = 4%

Time = ?

Using the formula for Simple interest (SI)= P×T×R/100

Make T the subject of formula,

T = SI × 100/P×R

T = $6000×100/1800×4

T = 600000/7200

T= 83 months/ 12 = 7 years

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ1

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the _____.

Answers

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power

How to complete statement?

From the question, we have the following highlights

Null hypothesis is falseNull hypothesis is correctly rejected

The statement that represents the probability of the above highlights is power

Hence, the statement that completes the blank is power

Read more about probability at:

https://brainly.com/question/11234923

#SPJ1

POINTS!!!! PLS HELP LOOK AT PIC

Answers

Answer:

first option

Step-by-step explanation:

two solutions means 2 cutting points

Quick algebra 1 question for some points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

[tex] \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x[/tex]

[tex] - 3(2) = 6 = x[/tex]

( - 6 , 2 ) Option a

What is the
y-intercept
of this line?

Answers

Answer: (0, 3)

Step-by-step explanation:

     The y-intercept of the line is where the line intercepts the y-axis. In other words, the coordinate value of the line when x is 0.

Answer: (3, 0)

Step-by-step explanation:

y-intercept = y=a number and x=0

So, y=3, x=0.

(3, 0)

The scatter plot below represents the amount of dog food a brand recommends based on the weight of the dog.
A
B
Amount of Food per Day (cups)
6
80
no association
negative linear association
● •
20
·

6
6
40
60
Weight of Dog (lb)
6

80
Which best describes the type of association shown in the scatter plot?
100

Answers

The best that describes the type of association shown in the scatter plot is positive linear association.

Given the scatter plot below represents the amount of dog food a brand recommends based on the weight of the dog.

Amount of Food per day cups:

20

40

60

No

We are required to find the type of association shown in the given scatter plot.

It is a positive linear association. The slope is positive so the linear association is also positive and linear mean generally in a line not on a curve like a nonlinear association.

Hence the given graph is of positive linear association.

Learn more about scatter plot at https://brainly.com/question/6592115

#SPJ1

Other Questions
Offline, create a complete pictogram that represents (1) the various sources of energy; (2) the percentage of global consumption for each as shown in the video; and (3) what each source is used for (electricity, transportation, heat). Use the illustration from the video as a guide. i need help asap: The lengths of a triangular plot of landmeasure 19 yards, 23 yards and 27 yards.Find the largest angle for this plot ofland. In 1880 five aboriginal trackers were each promised the equivalent of 100 Australian dollars for helping to capture the notorious outlaw Ned Kelley. In 2002 the granddaughters of two of the trackers claimed that this reward had not been paid. The Victorian prime minister stated that if this was true, the government would be happy to pay the $100. However, the granddaughters also claimed that they were entitled to compound interest.Required:a. How much was each granddaughter entitled to if the interest rate was 4%? b. How much was each entitled to if the interest rate was 8%? What is the process for removing the President from office In the paragraph box, write the main idea of the paragraph below.Acids in concentrated form are very dangerous chemicals to work with. For example, hydrochloric acid has been knownto eat through just about anything, including metal. Acids do appear in the foods you eat. Will the acid harm you? Not ifyou eat a balanced diet. But with highly-acidic foods, you sure know the acid is there. It's what makes lemons so sourmain idea: A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of the spinner is purple. Which fraction of the spinner is green? Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate? Are 0.34 and 3/4 equivalent? Please explain your answer In complete sentences. what are all the sums and differences of 3/4? A data science experiment you are conducting has retrieved two historical observations for the price of Bitcoin(BTC) on December 2, 2017 of 11234 and 12475. Create a Python script that stores these two historicalobservations in a list variable namedbtcdec1. Which of the following is a rational number? Select all that apply.A. 1B. 3C. 4D. 5E. 8F. 9 ang paggamit ng blank ay naka gitna ng pagpapahalaga sa tubig sa paglilinis ng katawan at kaluluwa ng mga katutubo upang makamtan ang ginhawa Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y. Does anybody know how to do this or at least part of it anything would really help!! Astrology work help needed Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34 Please Help! I need to turn this in today! Solve for n:1-5|n-9|=-74I need answer by 12:10, please help!!! in which Domain & Kingdom would scientists classify an organism, whose cells contain a nucleus, has cell walls made of chitin, and does not have chloroplasts? Write about the meaning of integrity in your life. 5 sentences. please help