Find the missing side length

Answer:

31=3+x

31=-3+x

28=x

28/7

$4

Each Candy bar cost $4 each

Step-by-step explanation:

Answer:

Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

(2x+1) / ( (x-2)(x^2+1) )

Let

(2x+1) / ( (x-2)(x^2+1) ) = A/(x-2) + (Bx+C)/(x^2+1) .........................(0)

(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = (Ax^2+A+Bx^2+(C-2B)x-2C) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = ( (A+B)x^2+(C-2B)x+A-2C ) / ( (x-2)(B/(x^2+1) )

Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

Substitute A from (1) in (3)

-B - 2C =1  

transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

-2(-2C-1) + C = 2  

simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

as the required partial fraction

Answer:

  \(\dfrac{1}{x-2}-\dfrac{x}{x^2+1}\)

Step-by-step explanation:

The partial fraction form will be ...

  \(\dfrac{2x+1}{(x-2)(x^2+1)}=\dfrac{A}{x-2}+\dfrac{Bx+C}{x^2+1}\\\\=\dfrac{A(x^2+1)+(x-2)(Bx+C)}{(x-2)(x^2+1)}\\\\\text{Equating numerators, we have ...}\\\\2x+1=(A+B)x^2+(C-2B)x+(A-2C)\\\\A=-B;\ C+2A=2;\ A-2C=1\\\\C+2(2C+1)=2\quad\text{substitute for A}\\\\5C+2=2\ \rightarrow\ C=0;\ A=1;\ B=-1\\\\\text{So the expansion is ...}\\\\\dfrac{2x+1}{(x-2)(x^2+1)}=\boxed{\dfrac{1}{x-2}-\dfrac{x}{x^2+1}}\)

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

OOOOOO    <----  the coins in her pocket

Step-by-step explanation:

Answer:

1. I'm not sure of this one so look up "How to write an expression using only addition with numbers" or something like that. 2. after turn one she will have -2 points  3. after turn 2 she will have 6 points 4. after turn 3 she will have 5 points. She will not earn bonus points after turn three because she didn't reach over ten points.

Step-by-step explanation:

Answer:

Given that

radius of circle =5units

So, circumference of circle=2πr

=2×π×5

=10π units

hope it helps u...

plz mark as brainliest...

Answer:

\(\boxed{Circumference = 10\pi \ units}\)

Step-by-step explanation:

Circumference = \(2\pi r\)

Where r = 5

=> Circumference = 2π(5)

=> Circumference = 10π units

Answer:

Choice B, 10 inch pizza to himself

Step-by-step explanation:

1. Half of 16 inch pizza= 8 inch

2. 10 inch pizza to himself= well, 10 inch

10>8

Answer:

Pizza B

Step-by-step explanation:

Half of a 16 inch pizza would be 8-inch. Since a 10-inch pizza is more than an 8-inch pizza, you would have to go with Pizza B.

Hope this helps!

-kiniwih426

Answer:$554.43

Step-by-step explanation:

516.95 * 7.25%=37.48

516.95 + 37.48 = 554.43

Answer:5 8

Step-by-step explanation:left 2 up 3

Answer:

D) 21

Step-by-step explanation:

y= -7/12× -36

or, y= -7×-3

or, y= 21

Answer:

D

Step-by-step explanation:

Given

\(\frac{-7}{12}\) = \(\frac{y}{-36}\) ( cross- multiply )

12y = 252 ( divide both sides by 12 )

y = 21 → D

Answer:

11%

Step-by-step explanation:

the answer is 11 because you need to minus

Answer:

\(y=25x\)

Step-by-step explanation:

Function Models

There are times where we are interested in expressing data sets into mathematic models. One of the most commonly used is the linear model, where the dependent variable has a linear relation with the independent variable. A special case of a linear model is the direct relation or proportion, where the variables relate in the form:

\(y=kx\)

Where k is an arbitrary constant.

We know y=22.5 when x=0.9. This can be used in the equation above to find the value of k:

\(22.5=k(0.9)\)

Solving for k:

\(\displaystyle k=\frac{22.5}{0.9}=25\)

The equation that models the relation is:

\(\boxed{y=25x}\)

Answer:

midsegment = 8

Step-by-step explanation:

(3y-7) + (y+3) = (y+6)/2

4y -4 = (y+6)/2

8y - 8 = y + 6

7y - 8 = 6

7y = 14

y = 2

y+6 = 2 + 6

mid segment = 8

Answer:

x = 0°, 360°

Step-by-step explanation:

using the formula:

cosx - 1 = 1 - cos²x

cos²x +cosx - 1 - 1 = 0

cos²x +cosx - 2 = 0

cos²x + 2cosx - cosx -2 = 0

cosx ( cosx + 2 ) -1 ( cosx + 2 ) = 0

(cosx - 1) (cosx + 2 ) = 0

cosx = 1 , cosx = -2

\(x = cos^{-1} ( 1 )\) , \(x = cos^{-1} ( -2 )\)

x = 0° , 360° , Not applicable

According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

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Answer:

512

Step-by-step explanation:

The answer is Option D

Answer:

its 2

Step-by-step explanation:

bc i said so period

the solutions to the equation have value of a=-4, b=1 and c=38.

In mathematics, factorization is the process of finding the factors of a given mathematical object, such as a number, polynomial, or matrix. Factors are objects that can be multiplied together to obtain the original object.

To solve the equation x² + 8x = 38 for x, we can use the following steps:

Move the constant term to the other side of the equation:

x² + 8x - 38 = 0

x=(-b±√b²-4ac)/2a

x=(-8±√64-4×1×(-38))/2×1

x=-4+√38

or x=-4-√38

On comparing with x= a+ b √c

x= a- b √c

value of a=-4

b=1

c=38

Therefore,  value of a=-4, b=1 and c=38.

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The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

30x+18y

Step-by-step explanation:

12x+18y+18x

combine like terms

30x+18y

Answer:

6 ( 5x + 3y ) did the calculations, just simplified

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

? what's the question??????????????????

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer:

Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too

Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

Answer:v=-4

Step-by-step explanation:We move all terms to the left:

-5v+6-(26)=0

We add all the numbers together, and all the variables

-5v-20=0

We move all terms containing v to the left, all other terms to the right

-5v=20

v=20/-5

Answer;

Sean got 24 points

Katie got 31 points

Kevin got 8 points

Emily got 12 points

Sorry I cannot give proper explanation because of typo issues.

Hope that can help.

Answer:

66

Step-by-step explanation:

I don't know the explanation but the answer is correct.