Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference ) of fractions. Simplify your answer, if possible. (6x^(3)+5x^(2)-9)/(x^(3))

Answer:

$1.50 per song

Step-by-step explanation:

You divide $22.50 by 15 to get the cost per song.

Answer: Any positive number less than 16

The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.

For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

Learn more about equation at

https://brainly.com/question/12998758

#SPJ11

The height of the building is 30 feet.

The height of the building can be calculated using the concept of similar triangles. The man, who is 6 feet tall, casts a shadow that is 4 feet long. At the same time, the building casts a shadow of 20 feet.

To solve this problem, we can set up a proportion between the height of the man and the length of his shadow, and the height of the building and the length of its shadow. Let's assume the height of the building is 'x' feet.

The proportion can be written as:

(Height of the man) / (Length of the man's shadow) = (Height of the building) / (Length of the building's shadow)

Substituting the given values, we have:

6 feet / 4 feet = x feet / 20 feet

To solve for 'x', we cross-multiply:

4x = 6 * 20

4x = 120

Dividing both sides of the equation by 4, we get:

x = 120 / 4

x = 30

Therefore, the height of the building is 30 feet.

To learn more about height here:

brainly.com/question/21280713#

#SPJ11

if the width of a rectangular exercise mat was 6 meters and you add 2 more meters which would be 8 meters. what is another name for the shape of this exercise mat? explain how you know

I will assume that the dimensions of the rectangle are

Length is 8 meters

width is 6 meters

so

the rectangle is 6 m x 8 m

If you add 2 meters to the width

we have

W=6+2=8 meters

The figure is now a square

because the length is equal to the width

Part 2

melissa has enough paint to cover an area of 250 square feet. she wants to paint to walls. the rectangular wall is 9ft high and 20ft wide. the square wall has a height of 9 feet. does melissa have enough paint to cover the area of both walls? can you show me how to work this?

step 1

Find out the area of both walls

rectangular wall

A=(9)*(20) ------> A=180 ft2

Square wall

A=(9)^2 ------> A=81 ft2

Add the areas

A=180+81 =261 ft2

step 2

Compare the total area with the 250 square feet

261 ft2 > 250 ft2

that means

Answer:

The answer might be C

Step-by-step explanation:

The graph hits the unit rate of (4,5) every time

Correct Me If I am Wrong

Answer:

24.52

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

24^2 + 5^2 = 601

Square root 601 = 24.52

Answer: $387

Step-by-step explanation:

Answer:

For A, the confidence interval formula above cannot be applied because n is less than 30, so we use the t-score confidence interval value

C.I = Mean ± t score × Standard deviation/√n

Mean = 80

Standard deviation = 5

n = 25

Degree of freedom = 25 - 1 = 24

Hence, 95% confidence interval degree of freedom t score = 2.064

Hence, Confidence Interval =

80 ± 2.064 × 5/√25

80 ± 2.064 × 1

80 ± 2.064

Confidence Interval =

80 - 2.064

= 77.936

80 + 2.064

= 82.064

Confidence Interval: (77.936, 82.064)

The greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

Given:

A rectangle with integer side length has perimeter 10.

If the perimeter of rectangle 2(l+b) = 10

l+b = 10/2

l+b = 5.

Two choices:

1. 2 * 3 rectangle of area 6

2. 1 * 4 rectangle of area 4

The piece of paper has area 24×60 = 1440

This can be divided into rectangles with sides 2×3:

= 24/2 * 60/3

= 12*20

= 240

It can be divided into rectangles with sides 1×4:

= 24/1 * 60/4

= 24*15

= 360

Therefore the greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ4

54.10Answer:

Step-by-step explanation:

Let the probability mass function of the number of draws before some ball is chosen more than once be given by the function p(m;n).

SolutionFirst, let's consider the base case: $n = 2$Then the probability mass function is:p(1;2) = 0 (obviously)p(2;2) = 1 (after the second draw, the ball chosen must be the same as the first one)Now consider $n = 3$. We have two possibilities:either the ball drawn the second time is the same as the first one, which can be done in $1$ way, with probability $\frac{1}{3}$,or it isn't, in which case we need to draw a third ball, which must be the same as one of the first two.

This can be done in $2$ ways, with probability $\frac{2}{3} \cdot \frac{2}{3} = \frac{4}{9}$.Therefore:p(1;3) = 0p(2;3) = $\frac{1}{3}$p(3;3) = $\frac{4}{9}$Now we will prove that:p(m; n) = $\frac{n!}{n^{m}}{m-1\choose n-1}$.The proof uses the following counting argument. Suppose you have $m$ balls and $n$ labeled bins. The number of ways to throw the balls into the bins such that no bin is empty is ${m-1\choose n-1}$, and there are $n^{m}$ total ways to throw the balls into the bins.

Therefore the probability that you can throw $m$ balls into $n$ bins without leaving any empty bins is ${m-1\choose n-1}\frac{1}{n^{m-1}}$.For $m-1$ draws, we need to choose $n-1$ balls from $n$ balls, and then we need to choose which of these $n-1$ balls appears first (the remaining ball will necessarily appear second).

Hence the probability mass function is:$p(m; n) = \begin{cases} 0 & m \leq 1 \\ {n-1\choose n-1}\frac{1}{n^{m-1}} & m = 2 \\ {n-1\choose n-1}\frac{1}{n^{m-1}} + {n-1\choose n-2}\frac{n-1}{n^{m-1}} & m \geq 3 \end{cases}$We can simplify this by using the identity ${n-1\choose k-1} + {n-1\choose k} = {n\choose k}$. So we have:$p(m; n) = \begin{cases} 0 & m \leq 1 \\ {n\choose n}\frac{1}{n^{m-1}} & m = 2 \\ {n\choose n}\frac{1}{n^{m-1}} + {n\choose n-1}\frac{1}{n^{m-2}} & m \geq 3 \end{cases}$As required.

Learn more about Probability here,https://brainly.com/question/13604758

#SPJ11

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

For similar questions on Triangle

https://brainly.com/question/1058720

#SPJ8

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Answer:

oh its really easy

so for -7 you would just count up but negatives so -7 and -5= -13 :)

Step-by-step explanation:

Step-by step

-13 I think

Answer:

1375 miles

Step-by-step explanation:

0.20x+95=370

0.20x=275

x=1375

Hi! Based on the information provided, using homework 10 data with a significance level (α) of 0.05 and a p-value of 0.038, your conclusion is that you would reject the null hypothesis.

This is because the p-value (0.038) is less than the significance level (0.05), indicating that there is significant evidence to suggest that the alternative hypothesis is true. Therefore, the conclusion is made based on the evidence to suggest that there is a statistically significant difference between the groups being compared in the study analyzed in homework 10.

To learn more about the topic:

https://brainly.com/question/4436370

#SPJ11

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

Learn more about the transformation of the function here:

https://brainly.com/question/26896273

#SPJ1

In the question the graph is missing, a graph has been added on behalf of the incomplete question.

Answer:

always

Step-by-step explanation:

Zero is always greater than any negative integer.

45 students are not partticipating

Number of students that participated in school play = 30

% of students not participating = 60%

% of those participating = 100% - 60%

% of those participating = 40%

let the total number of students in 7th graders = y

Number of students that participated in school play = total number of students in 7th graders × % of those participating

30 = y × 40%

30 = y × 0.4

30 = 0.4y

divide both sides by 0.4:

Number of students not participating = total number of students in 7th graders - Number of students that participated in school play

Number of students not participating = 75 - 30

Number of students not participating = 45

Answer:

4:1

Step-by-step explanation:

Answer:

edge of cube = 20 cm

volume of cube = 20x20x20

volume of each small cube = 5x5x5

number of cubes

= (20x20x20)/(5x5x5)

=64

Step-by-step explanation:

I believe that is the answer im sorry in advanced if its not.

82 students attended the dance.

In algebra, an equation can be expressed as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

An equation is defined as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are said the "left-hand side" and "right-hand side" of the equation. Assuming this does not reduce the generality, this can be realized by subtracting the right-hand side from both sides.

According to the given problem,

Let the number of students be x,

2.50x + 120 = 325

⇒ 2.5x = 325 - 120

⇒ 2.5x =   205

⇒ x = 82

Hence, 82 students attended the dance.

Read more about the equation:

https://brainly.com/question/17145398

#SPJ4

Answer:

O x<3

Step-by-step explanation:

The domain of the given function is x<3. Therefore, option C is the correct answer.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The given function is y=ln((-x+3)/2)

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Find the domain by finding where the equation is defined.

Interval Notation:

(-∞, 3)

Set-Builder Notation:

{x|x<3}

Therefore, option C is the correct answer.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ7

Answer:

Well hello Marie I can indubitably say that the range values a number yes, what I can assure you Miss Marie! is that YOU yes YOU don't have to worry about math! You my lady are a woman and women belong in the house.

Step-by-step explanation:

Answer:

no cause the graph dosen't cross the 0

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer: 23, 5, 3

Step-by-step explanation:

Problem a)

5 + 2 x 3^2

5 + 2 x 9

5 + 18

23

Problem b)

7 + 8 / 5 - 2

15 / 3

5

Problem c)

18- 3 x 2/ 5 - 1^2

18 - 6/ 5 - 1

12/4

3

Answer:

I don't think you should doubt the ability to do well you should have confidence in your self .

Answer:

A= ((sorry i didn't see this one)) B= -1 C= (2) equal groups

Answer:x=3

Step-by-step explanation:

2x=7-1

2x=6

divided by 2 on both sides

x=3

The width of the book is 20cm and 0.2 mm.

To convert Milimeteres to other units, we can use :

1 cm = 10mm

1 m = 1000mm.

Width in centimeters = 200mm × 1/10

                                  = 200/10 cm

                                  = 20 cm

Width in meters = 200mm × 1/1000

                          = 200/1000 cm

                          = 2/10 cm

                          = 0.2 m

Therefore, the width of the book is 20cm and 0.2 mm.

To learn more about calculating the width, refer to:

https://brainly.com/question/941878

The simplification of x⁸ ÷ x² in its simplest form is x⁶.

x⁸ ÷ x²

In indices, when numbers are divided by each other, the exponents are subtracted

Also, when the numbers to be divided are equal bases, then, only one of the bases is chosen.

So,

x⁸ ÷ x²

\( = {x}^{8 - 2} \)

= x⁶

Therefore, x⁸ ÷ x² is equal to x exponential 6 (x⁶)

Read more on simplification:

https://brainly.com/question/723406

#SPJ1