What is the partial fraction decomposition, I know D is wrong

What Is The Partial Fraction Decomposition, I Know D Is Wrong

Answers

Answer 1

[tex]\dfrac{7x^2+14}{(x^2+3)^2}=\dfrac{7x^2+21-7}{(x^2+3)^2}=\dfrac{7x^2+21}{(x^2+3)^2}-\dfrac{7}{(x^2+3)^2}=\dfrac{7(x^2+3)}{(x^2+3)^2}-\dfrac{7}{(x^2+3)^2}=\\=\dfrac{7}{x^2+3}-\dfrac{7}{(x^2+3)^2}[/tex]


Related Questions

Brian flips a fair coin 3 times
What is the probability of him getting exactly 2 tails?​

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

There are a list of possible outcomes:

TTT  (1)TTH   (2)THT  (3) THH  (4)HHH   (5)HHT  (6)HTH   (7)HTT   (8)

This represents 8 outcomes.

The only ones that have two tails are:

TTH   (1) THT  (2) HTT (3)

Because there are 3, this means that the probability in a fraction form of Brian getting exactly 2 tails is 3/8. P ( exactly 2 tails) = 3/8.

what is the solution to the equation 1/5n=3


a n=8
b n=15
c n=25
d n=125

Answers

Answer:

[tex]\huge\boxed{\sf n = 15}[/tex]

Step-by-step explanation:

Given Equation:

[tex]\displaystyle \frac{1}{5} n = 3\\\\Multiply \ 5 \ to \ both \ sides\\\\n = 3 \times 5\\\\n = 15\\\\\rule[225]{225}{2}[/tex]

Need help with the question

Answers

Answer:

y = 3

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 57 when x = 19 , then

57 = 19k ( divide both sides by 19 )

3 = k

y = 3x ← equation of variation

when x = 1 , then

y = 3 × 1 = 3

may i have help with this

Answers

Answer: D. 7^11

Step-by-step explanation:

For exponents with the same base, we just add the exponents and keep the same base. 7 is the same base; therefore 5+6=11 which means the answer is 7^11


how do u turn decimals into fractions

Answers

Answer:

place the decimal number over its place value

Step-by-step explanation:

For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10

Answer:

Step-by-step explanation:

Decimal to fraction: Write the decimal number with denominator 1Now , multiply the numerator and the denominator by 10 for every number after the decimal point.Simplify

Example:

   4.52

[tex]4.52 =\dfrac{4.52}{1}[/tex]

In 4.52, there are two decimal places. So multiply the numerator and denominator by 100

[tex]\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}[/tex]

In a class of 75 students, 50 like visiting and 50 like Picnic. If each student like at least one activity, using Venn diagram, find the number of students who like both.

please help me with this question. ​

Answers

If each student like at least one activity, the number of student that like both is 25

How to solve Venn diagram?

The class have 75 students.

50 like visiting and 50 like picnic.

Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;

let

x = student that like both

75 = 50 + 50 - x

Therefore,

75 = 100 - x

75 - 100 = -x

-25 = -x

x = 25

Therefore, the number of students who like both are 25.

learn more on Venn diagram here: https://brainly.com/question/24088773

#SPJ1

75 points! what’s the lateral area, total surface area, and volume of this? please help me!

Answers

Answer:

yes of course it exists until to you practice a little bit hard. so let's. try

An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?

Answers

The answer is floor number 6

Answer: Hope this helps you!

6th floor

Step-by-step explanation:

If it starts on the 9th floor and goes down 7 floors that is:

9 (9 floors) + -7 (down 7 floors)

which is also equal to 9-7

9-7 = 2

Next, we need to go up by 4 floors starting with 2, 2+4

2+4 = 6

Brainliest?

An adult African elephant weighs approximately 8 tons. Which comparison is true

Answers

need more info to answer ?

The average cost of tuition plus room and board for a small private liberal arts college is reported to be $9,500 per term, but a financial administrator believes that the average cost is higher. a study conducted using 350 small liberal arts colleges showed that the average cost per term is $9,845. the population standard deviation is $1,200. let α = 0.05. what is the p-value for this test?

Answers

i think the answer would be p= 123


The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.

Answers

.✎let's answer it :3

question

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

answer 1.24 inches

hope it helps

correct me if I am wrong

by #galadohannadivine29

What is the scale factor for XYZ TO UVW?

Answers

Answer:

D. 2

Step-by-step explanation:

If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.

Which of the following best describes /JKL?
32°
L
K

Answers

The best statement that describes the angle JKL is inscribed angle.

What is an inscribed angle?

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.

The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.

The angle ∠JKL is not a vertical angle because it's not vertically opposite  any angle.

The angle ∠JKL is not a central angle because it was not from from the centre of the circle.

The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.

learn more on angles here: https://brainly.com/question/6563602

#SPJ1

A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

1/4
What is the constant speed of Speedy Sam?

Who ran faster?

Answers

The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

The complete question

The question is incomplete as the graphs and the tables are missing.

However, the points given in the question can be used to represent the graph and the table

The slopes of the graph and the table?

By interpreting the points, we have:

Graph

(x, y) = (0, 0) and (4, 1)

Table

x           y

4           0.5

20         2.5

32         4

The slope is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

Graph: [tex]m = \frac{1 -0}{4 -0} = 0.25[/tex]

Table: [tex]m = \frac{4 -2.5}{32 -20} = 0.125[/tex]

Their constant speeds

Freddy's speed is represented by the graph, while Sam's speed is represented by the table

Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

Who ran faster?

Freddy ran faster because 0.25 is greater than 0.125

Read more about graphs and tables at:

https://brainly.com/question/27489675

#SPJ1

Answer:

1. Freddy ran a speed of 1/4 miles

2. Sam ran a speed of 1/8 miles

3. Freddy ran faster

Step-by-step explanation:

Your welcome :)

flash is the best show to ever exist

If [2a -1] [-3-a]= (10), find the value of a.​

Answers

Step-by-step explanation:

Step-by-step explanation:-6a-2a^2+3+a=10-7a-2a^2=10-32a^2+7a+7=0

Someone pleaseeeee helpp meeeeee!!!!

Answers

Answer:

The slope is 0.

Step-by-step explanation:

x is the gradient of the line, so multiplying the slope, zero, by the gradient, x, would make this equal to zero.

7x + 2y = −12
3x + 4y = −24

Answers

Answer:

x= 0 , y= 6

Step-by-step explanation:

multiplying 1st equation by 2 and subracting equation 2nd from 1st

14x + 4y = -24

- ( 3x + 4y) = - (-24)

11x = 0

so, x=0

keep x=0 in equation 2nd

3*0 + 4y = -24

y = -24 / 4

so , y = 6

Which of the following best describes the graph below A.it is a one to one function B. It is not a function C.it is a many to one function D.It is a function,but it is not one to one

Answers

The graph is a one to one function , Option A is the correct answer.

What is a function ?

A function is defined as the algebraic expression that identifies relation between a dependent and an independent variable.

All the function have a defined domain and Range.

To test that the given graph is a function ,

A vertical line test will be done , A vertical is passes through different points of the graph and for every unique value of x , we get a single solution of y , therefore it is a function

Then  horizontal Line test is done to determine if it is a one to one function, for every y value there is only one x value.

The graph passes the horizontal line test.

Therefore The graph is a one to one function , Option A is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Georgia drove 156 miles in 4 hours. If this rate continue, how many miles can he drive in 7 hours

Answers

The answer is 273 ……….

Answer: he drives 273 miles for 7 hours

Step-by-step explanation:

The table below shows the estimated population of fish living in the local lake as determined by the local
environment council every 10 years between 1960 and 1990.
The equation y = 1500(.9) describes the curve of best fit for the fish population (y). Let z represent the
number of 10-year intervals since 1960.
Year Population
1960
1500
1970
1350
1980 1210
1990 1100
Using this equation, what is the approximate predicted population of fish living in the lake in the year 2020?
A) 980
B) 800
C) 770
D) 720

Answers

The approximate predicted population of fish living in the lake in the year 2020 is; B: 800

How to Calculate Estimate population from a Table?

We are told that the equation that describes the curve of best fit for the fish population (y) is;

y = 1500(0.9)^(z)

where z represent the

number of 10-year intervals since 1960.

The table started in the year 1960 and we want to find the population in the year 2020.
Number of years after 2020 is;

2020 - 1960 = 60 years

60 years is 6 decades

Thus;

y = 1500(0.9)⁶ = 797 ≈ 800

Read more about Population Estimate at; https://brainly.com/question/372299

#SPJ1

13 - r < 82




PLA I NEED THIS

Answers

Answer:

r > -69

Step-by-step explanation:

13 - r < 82

subtract 13 from both sides

13 - r - 13 < 82 - 13

- r < 69

to flip the inequality sign, multiply both side by -1 to make r positive:

- r (-1) < 69 (-1)

r > -69

        [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    13-r<82

      [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   First of all, we need to isolate r (get r by itself). What I Mean by that is

       We need to get r by itself on one side of the inequality.

      So it should look something like this:-

     r<___

So r is all by itself.

How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-

[tex]\longmapsto\bf{-r < 82-13[/tex]

Simplifying,

[tex]\longmapsto\bf{-r < 69}[/tex]

Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.

So we do the opposite operation and divide both sides by -1:-

(watch what happens)

[tex]\longmapsto\bf{r > -69}[/tex]

The inequality sign changed from "less than" to "greater than".

This happened because we divided by a negative number on both sides.

Good luck with your studies. [tex]\ddot\smile[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Howard sells used helicopters, and he receives a 3% commission on all that he sells. If Howard received $42,000 in commissions last year, how many dollars worth of used helicopters did he Sell?

Answers

The worth of helicopter sold is $1,400,000

How to determine the total sales?

The given parameters are:

Commission = 3% of salesCommission = $42,000

This means that:

3% of sales = $42,000

Divide both sides by 3%

Sales = $1,400,000

Hence, the worth of helicopter sold is $1,400,000

Read more about commission at:

https://brainly.com/question/26283663

#SPJ1

Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag

Answers

Answer:

there are 75 colors of each candy

Step-by-step explanation:

300÷4=75

You paid $16.50 for a prescription plus $1.32 in sales tax. What is the sales tax rate?

Answers

Answer:

16.50+1.32 u happy its so easy

Answer 8% tax rate
1.32 tax divided by cost of prescription 16.50
Equals .08 or 8%

help please and only answer if ur sure x

Answers

Answer:

9/10

Step-by-step explanation:

First you would have to make the denominators the same, and they have an lcd of 10. So multiply 2/5 by 2 which is 4/10

and then 1/2 by 5 to get 5/10

then add 4/10 and 5/10 together and you get 9/10

PLS HELP NEED THIS ASAP

Answers

The probability that the dog that's selected will weigh less than 30 pounds will be 55%.

How to calculate probability?

From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:

= 1 - 45%

= 55%

The probability that it weighs more than 30 pound given that it has long fur will be 27%.

The events are independent since the occurence of one doesn't affect the other one.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

A store manager wanted to see the relationship between
the number of computers sold, x, and store profit, y, on a
daily basis. The regression line is û = -150 +24x, where
x is the number of computers sold for the day.
What is the predicted store profit if 0 computers are
sold for the day?
O-$150
O-$126
$0
O $176

Answers

The predicted store profit if 0 computers are sold for the day is $-150.

What is the predicted store profit?

Profit is the total selling price less the cost price of an item.

Profit = selling price - cost price

Given the regression line, û = -150 +24x, substitute for x

û = -150 +24(0)

û = -150

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

Answer:

The answer above is correct -150 is correct

Step-by-step explanation:

EDG2022

1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.

b). if X = 2 m, find the actual dimensions of the carpet.

c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?​​​

Answers

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

Answer:

answers in photo / +explanation

Step-by-step explanation:

a)

length: x+2

width/breadth: x-1

b)

length: 4m

width/breadth: 1m

area: 4m²

c)

R1000

please help with math

Answers

6: x+3 = 11x4 x+3 = 44 x =44 x =44-3 answer x=41

Find the measure of

Answers

Answer:

r = 76°

Step-by-step explanation:

61° + 43° + r = 180° { <'s on a straight line are supplementary}

104+r=180

r = 180-104

r = 76°

76, 180- the other angles is 76
Other Questions
identify a process that could cause a new pesticide resistant gene to appear in a mosquito population (short written response) Select the correct answer.A farmer uses one pound of fertilizer to grow crops on his land. He decides to increase the amount of fertilizer added to the soil to threepounds to obtain a greater yield. The size of the garden and the amounts of seeds, water, and sunlight remain the same. The farmer keepsincreasing the amount of fertilizer (to four, five, and six pounds, etc.), and continues to gain higher yields. However, since the other factors ofproduction remain constant, the increase in crop yield is lower than the increase in a single factor of production (fertilizer). What is the termfor this phenomenon?OA. economic order quantity (EOQ)B. law of diminishing returnsOC. economy of scale.OD. labor productivityOE. production control Which of the following would be in demand all year round in most of the United States?A) umbrellasB) snow tiresC) swim suitsD) sleds Cuanto mide el ngulo central de un dedacagono? I will give brainlest to the first person to answer thats right!!!!!!!!! mr. and mrs. jones are trying to decide which of their five children will help wash the family dishes. mrs. jones writes the names of the 3 boys and the 2 girls on different pieces of paper and places them in a bag. mr. jones will select one name and then select another name. what is the probability that two boys will be selected? simplify your answer. Why is less energy needed for reaction to occur when enzyme is present? Write a biography on your favorite author, poet, politician, athlete, or civil rights activist. Also, describe their impact on youth and young adults.2-3 paragraphs Please help! Giving brainlist! What is the most remote populated island in the world?. How old was the United States when Indiana became a state?O 40 years oldO 10 years oldO 20 years oldO 30 years old An electromagnetic wave has a wavelength of 10 nm. Calculate its frequency and identify to which part of the electromagnetic spectrum the wave belongs. Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds. I NEED HELP FASTTTT PLEASE!What is the greenhouse effect?A) Greenhouse gases trap carbon dioxide so plants can grow.B)Greenhouse gases trap UV radiation and warm the Earth.C)Greenhouse gases trap carbon dioxide and warm the Earth.D)Greenhouse gases trap infrared radiation, and warm the Earth. The vaticans swiss guard wears a uniform inspired by which famous renaissance painter?. Please and thank you :) find the angle of elevation of the sun if a building 325 feet tall casts a shadow 296 feet long If you took 800mg of aspirin tablet at 12:00pm and another 800mg tablet at 2pm, how many milligrams of aspirin are still in your system at 3pm? Aspirin has a t 1/2 of 1 hour. A. Saving money at the grocery store by using unit pricing. a. Toilet paper A is 6 mega rolls for $4.59. b. Toilet paper B is 12 mega rolls for $9.02. How does ms. brennan describe senator joe mccarthy? Which of the following sterotypes did Shakespeare use in Romeo and Juliet? Teenagers are st.... and incapable of understanding love.Catholic priests are sneaky (as compared to Protestant clergy).Italians are passionate and impulsive.Mediterranean parents are athoritarian and unfeeling.