Can anyone help me with this?​

Step-by-step explanation:

[tex]( \frac{3}{w} + \frac{2}{x} ) \div ( \frac{2}{w} - \frac{3}{x} ) \\ ( \frac{3x}{xw} + \frac{2w}{xw} ) \div ( \frac{2x}{xw} - \frac{3w}{xw} ) \\ ( \frac{3x + 2w}{xw} ) \div ( \frac{2x - 3w}{xw} ) \\ \frac{3x + 2w}{xw} \times \frac{xw}{2x - 3w} \\ \frac{3x + 2w}{2x - 3w} [/tex]

I suppose you mean the integral

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx[/tex]

Break up the integrand into partial fractions:

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} = \dfrac{a}{x+1} + \dfrac{b}{(x+1)^2} + \dfrac{c}{x+2} + \dfrac{d}{(x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{a(x+1)(x+2)^2 + b(x+2)^2 + c(x+1)^2(x+2) + d(x+1)^2}{(x+1)^2 (x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{(a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d}{(x+1)^2(x+2)^2}[/tex]

[tex]x = (a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d[/tex]

Solve for the coefficients:

[tex]\begin{cases}a+c=0 \\ 5a+b+4c+d=0 \\ 8a+4b+5c+2d=1 \\ 4a+4b+2c+d=0\end{cases} \implies a=3,b=-1,c=-3,d=-2[/tex]

So we have

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \int \left(\frac3{x+1} - \frac1{(x+1)^2} - \frac3{x+2} - \frac2{(x+2)^2}\right) \, dx[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= 3\ln|x+1| + \frac1{x+1} - 3\ln|x+2| + \frac2{x+2} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \ln|x+1|^3 - \ln|x+2|^3 + \frac{3x+4}{(x+1)(x+2)} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \boxed{\ln\left|\frac{x+1}{x+2}\right|^3 + \frac{3x+4}{(x+1)(x+2)} + C}[/tex]

Answer:

36 in cubed

Step-by-step explanation:

3x2x6

3x2=6

6x6=36

Answer:

36 in

Step-by-step explanation:

First multiply 3 by 2 to get 6.

Then multiply the two 6s to gether to get 36.

Have an amazing day!

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Answer:

The answer is 342 in.^{2}.

Answer:

A.g=11

Step-by-step explanation:

26=7(g-9)+12

26=7g-63+12

7g=77

g=11

It will take her  5 5/8 hours to read 3/4 of the book

Given that Elisabeth reads 1/5 of her book in 1 1/2 hours, this is expessed as:

0.2 of a book = 1.5 hours

In order to determine the time taken to read 0.75 part of the book, we will have:

0.75 of a book  = x

Take the ratios

0.2/0.75 = 1.5/x

0.2x = 1.125

x = 1.125/0.2

x =  5.625

Hence it will take her  5 5/8 hours to read 3/4 of the book

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Answer:

your answer is right

Step-by-step explanation:

I took the test

x= 105°

y= 75°

z= 105°

Answer:

A, B, D and E are the correct answers because they are all true

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

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Answer:

First blank: 11/9

Second blank: 20

Step-by-step explanation:

Hope this helps!

Answer:

The length is 5cm.

Step-by-step explanation:

(x)(x+7) = 60

x^2 +7x = 60

x^2 +7x - 60 = 0

x^2 + 12x - 5x = 0

Answer:

[tex]lenght = 12cm \\ width = 5cm[/tex]

Step-by-step explanation:

[tex]area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm[/tex]

The comparison between the standard form of the cosine and f(x)=34cos(3x)+4 shows that the amplitude of the function given is 34.

The standard form of the cosine is given by:

               y=acos(bx+c)+d

where:

a= amplitude - half the distance between the maximum and minimum values of the function. The value of a will be |a|.

b= the number of cycles the function completes in an interval of from 0 to 2π. This parameter influences in the period since is [tex]\frac{2\pi }{b}[/tex].

c= horizontal shift

d= vertical shift

The question asks the value of amplitude. Therefore, you should compare the standard form with equation function given.

Thus, you have:

y=acos(bx+c)+d

f(x)=34cos(3x)+4

The comparison shows: a=34, b=3, c=0 and d=4

Hence, the amplitude of the function f(x)=34cos(3x)+4 is equal to 34.

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Answer:

3/4

Step-by-step explanation:

I took the teat K 12

[tex](3y^3)^2=(3^2)*(y^3)^2=9*y^6 = 9y^6[/tex]

Hope that helps!

Answer:

AD=25cm

Step-by-step explanation:

BC//AD

XY is also parallel to BC and AD as it bisects BA and CD.

BX=XA, CY=CD

so tge decreasing in length BC to XY is the same with XY to AD

29-27=2

27-2=25

That is why AD= 25cm

Answer:

it’s A

Step-by-step explanation:

ur welcome

Answer:

Step-by-step explanation:

Algebraic expression   Constant      Variables    Operation

3n + 8                                8                    n                 addition

3x - 2                                  -2                  x                   subtraction

4(N + 5) =4N + 20             20                N                      addition

2a + 3b - c                           0              a,b,c                 addition & subtraction

Answer:

2 hours

Step-by-step explanation:

12:30 + 1 hour = 1:30

1:30 + 1 hour = 2:30

She was at the dog park with her dog for 2 hours.

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

It should be noted that a tax simply means the compulsory levy that's paid by the individuals and businesses to the government.

In this case, the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%. This is for people in the income bracket of $38701 to $82500.

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22% is the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000.

Tax is a mandatory financial charge or levy imposed by the government on individuals, businesses, or other entities in order to fund public expenditures and services.

It is a way for the government to generate revenue to finance various public goods and services, such as infrastructure, healthcare, education, defense, and social welfare programs.

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

This is for people in the income bracket of $38701 to $82500.

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Answer:

5.1 cm² (nearest tenth)

Step-by-step explanation:

[tex]\mathsf{area\ of \ sector=\dfrac{\theta\pi r^2}{360} \ (where\ \theta \ is \ measured \ in \ degrees)}[/tex]

Given:

[tex]\implies \mathsf{area\ of \ sector=\dfrac{80 \cdot\pi\cdot 5^2}{360}=\dfrac{50}{9}\pi \ cm^2}[/tex]

[tex]\mathsf{area\ of \ triangle=\dfrac12 ab\sin C}[/tex]

Given:

[tex]\implies \mathsf{area\ of \ triangle=\dfrac12 \cdot 5 \cdot 5\sin (80)=\dfrac{25}{2}\sin(80) \ cm^2}[/tex]

Area of shaded area = area of sector - area of triangle

[tex]\implies \mathsf{area=\dfrac{50}{9}\pi-\dfrac{25}{2}\sin(80)}[/tex]

Therefore, area = 5.1 cm² (nearest tenth)

Answer:  

y = -2/3x + 18

Step-by-step explanation:

to find the y intercept you should input the points 15,8

sooo

8 = -2/3(15) + b

8 = -10 + b

b = 18

Using it's concept, it is found that the range for this situation is given by:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

The range of a function is the set that contains all possible output values.

In this problem, the output values are the height of the ball, which researching the problem on the internet, is represented by a table in which the minimum height is of 0(when it hits the ground) and the maximum height is of 7.66 feet, hence the correct option is:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

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So

[tex]\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]

[tex]\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5[/tex]

Second bag is more preferable

Answer:

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28

Answer:

1 7/16

Step-by-step explanation:

Let that blank be x

x + 1/16 =3/2

Then, find the common denominator:

3/2 - 1/16

LCM = 16

3/2 *8 = 24/16

24/16 - 1/16

Last, subtract:

23/16

OR

1 7/16

Hope this helps!

mark brainliest if possible!

Answer:

1. x= 8√2

2. x = 14 y=14√2

3. x = 18√2 = 9√2

4. x= 18/√2 =9√2

5. x= 8/√2 = 4√2

6. x = 10/√2 i.e 5√√2

Answer:

1/18

Step-by-step explanation:

Each cube can have 6 outcomes, from 1 to 6.

6 × 6 = 36

The total number of outcomes is 36.

The desired outcomes are only 1, 4 and 4, 1.

There are only 2 desired outcomes.

p(1, 4 or 4, 1) = 2/36 = 1/18

Answer: 1/18

Answer:

d

Step-by-step explanation:

The dashes on the sides of the triangles mean that they are equal in length.

Isosceles triangle: 2 sides of equal length

Equilateral triangle: 3 sides of equal length

Triangle a doesn't have any dashes, so all the sides are different length.

Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in length → Equilateral triangle

Answer:

5 buses

Step-by-step explanation:

each bus will take 200 people except for and the fifth bus will take 50