Which expression has the same value as -18-(-9)?
O -18÷2
O −12+(-3)
O -10÷5
O-8+(-4)

The distance travelled by Rahul, if he takes 6 rounds of a square field of side = 120m is 2880 meters.

We are given that Rahul takes 6 rounds of a square field of side length 120m. To find the total distance he travels, we need to calculate the perimeter of the square field and multiply it by the number of rounds.

The perimeter of a square is the sum of the lengths of its four sides. Since the side length of the square field is 120m, the perimeter is:

4 * 120m = 480m

This is the distance Rahul covers in one round around the square field.

To find the total distance he covers in 6 rounds, we multiply the distance covered in one round by the number of rounds:

480m * 6 = 2880m

So, Rahul covers a total distance of 2880 meters.

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Answer: 188in^2

Step-by-step explanation:

You can break the figure into 3 smaller shapes

15 x 5

10 x 5

and 9 x 7

The areas of these smaller shapes are 75, 59 and 63

adding these areas together would get you 188 in squared.

Answer:

5.6lbs

Step-by-step explanation:

multiply 180 by .08

8%=14.4

14.4-180=165.6

165.6-160= 5.6

The approaches to building a multiple linear regression model is option (C) Backward elimination

Here the multiple linear regression model involves taking all of the possible independent variables, and then systematically eliminating insignificant ones until only significant ones remain

We know the independent variable is the variable that does not depends on any other variables

Here the given elimination methods is eliminating insignificant ones until only significant ones remain

In the backward elimination method starts with explanatory variables in the regression model then starts to eliminates the least significant ones will eliminates one by one

Therefore, the suitable approach is backward elimination method

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The equation of the total bill with x number of refills is y = 5 + x and the refills if the bill is $9 is 4.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

Let us consider the number of times we refill = x.

For every refill the cost will be = 1(x) = x.

Then, a basket of fries for $5, and each refill basket of fries is only $1 is:

y = 5 + x

The equation of the total bill with x number of refills is y = 5 + x.

The graph of the equation is obtained by substituting different values of x.

For x = 1:

y = 5 + 1 = 6

Similarly, x = 2:

y = 5 + 2 = 7

If the bill is $9 then,

y = 5 + x

9 = 5 + x

9 - 5 = x

x = 4

Hence, the equation of the total bill with x number of refills is y = 5 + x and the refills if the bill is $9 is 4.

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Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:

40 feet + 20 feet + 40 feet + 20 feet = 120 feet

Therefore, the total distance around the pool is 120 feet.

To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.

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The complete question is:

In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.

40 Ft

20 Ft

1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)

2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.

The range of values for the third side must be 5 < C < 13 this means that the third side must be a value greater than 5 and less than 13.

What is triangle?

A triangle is a two-dimensional geometric shape with three sides and three angles. It is a basic polygon and one of the simplest shapes in geometry. Triangles come in different types based on the length of their sides or the measure of their angles, such as equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), scalene triangles (no sides are equal), right triangles (one angle measures 90 degrees), and obtuse triangles (one angle measures greater than 90 degrees).

The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides A, B, and C, we have:

                                    A + B > C

                                    B + C > A

                                    A + C > B

For the given sides of 8 and 5, the range of values for the third side can be found by considering the two inequalities:

                                    5 + C > 8

                                     8 + C > 5

Adding the two inequalities, we get:

                        13 > C

So the range of values for the third side must be:

                         5 < C < 13

This means that the third side must be a value greater than 5 and less than 13.

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Answer:

Below

Step-by-step explanation:

Second choice      at x = 0     it is = 6

  and as the exponent (x) gets more negative it gets larger meaning it has a coefficient of < 1     ( it is 3/4)

There were total 4 people at table A and each of them pay €18.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Table A's bill of €72 is split equally.

and, Table B has two more people than Table A and its bill of €108 is also split equally.

let number of people at table A be x and at table B be (x+2).

So, the number of people

x/ 72 = (x+2)/108

108x = 72x + 144

108x - 72x = 144

36x= 144

x=4

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a) The equation of  perpendicular line is y=2x+1

b) The equation of  parallel  line is y = -2x+6

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

a) An equation perpendicular to y= (-1/2)x+4 through the point (-2, -3):

m= -1/2

Slope of perpendicular line is -1/m  = -1/( -1/2) = 2

(x,y) = (-2, -3)

Slope intercept form:

y=mx+b

Substitute x,y and m values to find b

-3= 2(-2) + b

=> -3 = -4 + b

=> b= -3+4 = 1

So the equation of  perpendicular line is y=2x+1

b)  An equation through the point  (1,4)  parallel to  y = -2x + 1

Parallel lines will have same slope , m= -2

(x,y) =  (1,4)

Slope intercept form:

y=mx+b

Substitute x,y and m values to find b

4=-2(1)+b

=> 4 = -2 + b

=> b=4+2 = 6

So the equation of  parallel  line is y = -2x+6

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Answer:

Diatance biked = rate • time

The length of the diagonal of an isosceles trapezoid is 2.83 cm

An isosceles trapezoid is a quadrilateral with two parallel sides and two non-parallel sides of different lengths.

In this case, the non-parallel sides are the bases, which are 3cm and 7cm long. The height is the perpendicular distance between the two bases and is given as 4cm. To find the length of the diagonals, we can use the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse (the longest side).

In an isosceles trapezoid, the diagonals are equal in length and bisect each other. Let's call the length of the diagonal d. We can draw a right triangle with one leg being half of the trapezoid's height (2cm), the other leg being half of the difference between the two bases (2cm), and the hypotenuse being the length of the diagonal d. Using the Pythagorean theorem, we get:

(2cm)² + (2cm)² = d²

4cm² + 4cm² = d²

8cm² = d²

d = √(8cm²)

d = 2√(2)cm

d = 2.83cm

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Answer: [tex]36/\pi[/tex] or approximately 11.4592

Step-by-step explanation:

The distance around a circle equals its circumference.

The circumference equation is: C = 2[tex]\pi[/tex] * r where r = radius.

Now, we know that the distance around the circle is 36 so C = 36

Using the equation, we have 36= 2[tex]\pi[/tex]*r

Now, we solve for r by dividing by 2[tex]\pi[/tex] to both sides.

r = [tex]36/2\pi[/tex] which equals [tex]18/\pi[/tex] which is approximately 5.7296

Now, since radius is half of the diameter, we need to multiply this by 2.

This finally gives us the answer of diameter = [tex]36/\pi[/tex] which is approximately 11.4592

Answer:

Reflection Paper on "Freedom Riders"

Ankit Mishra

title movie

freedom riders

instructions create a reflection paper that summarize the documentary and how brougth about social changes and lead to the Civil rigths act of 1964

please help me

2,3 pages

Please read the instructions please I need your help watch the movie and the instructions

Reflection Paper on "Freedom Riders" Documentary

The "Freedom Riders" is a powerful documentary that recounts the story of a group of civil rights activists who rode buses across the American South in 1961 to challenge the segregated public transportation system. The film provides a vivid and moving account of their journey and the challenges they faced along the way, from beatings and arrests to bombings and arson attacks. Through interviews with surviving freedom riders and archival footage, the film sheds light on the bravery and determination of these activists and the impact they had on the civil rights movement.

The freedom riders were inspired by the nonviolent protest movement led by Dr. Martin Luther King Jr. and other civil rights leaders. They believed that segregation was a moral wrong and that they had a duty to resist it through nonviolent means. Despite the danger they faced, the freedom riders refused to back down, putting their lives on the line for the cause of justice and equality.

The bravery of the freedom riders had a profound impact on the civil rights movement. Their actions galvanized support for the cause and drew national attention to the issue of segregation. The freedom rides sparked a wave of protests and civil disobedience across the South, and helped to build momentum for the passage of the Civil Rights Act of 1964. This landmark legislation banned segregation in public places and made it illegal to discriminate against someone on the basis of race, color, religion, sex, or national origin.

The "Freedom Riders" documentary serves as a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the courage and determination of the freedom riders and the impact they had on the country. It is an important film that teaches us about the past and the struggles of those who fought for justice and equality.

In conclusion, the "Freedom Riders" documentary is a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the bravery and determination of the freedom riders and the impact they had on the civil rights movement. The film serves as a testament to the power of nonviolent protest and the importance of standing up for what is right, even in the face of opposition. The lessons of the freedom riders should inspire us all to continue working towards a more just and equal society.

Ankit Mishra

3cos²∅ (1+tan²∅) = 3

This equation involves trigonometric functions and can be simplified using trigonometric identities.

Starting with the right-hand side of the equation, we have 3. On the left-hand side, we have the expression 3cos^2(θ)(1 + tan^2(θ)).

We can simplify the expression as follows:

cos^2(θ) = 1 - sin^2(θ)

and

tan^2(θ) = sin^2(θ) / cos^2(θ)

Substituting these identities into the expression on the left-hand side, we get:

3(1 - sin^2(θ))(1 + sin^2(θ) / (1 - sin^2(θ))

Expanding the product and simplifying, we get:

3

Thus, the equation is true and holds true for all values of θ.

The value of z in the triangle using trigonometric ratio is; z = 10.90

The three basic trigonometric ratios from which others are derived are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

From the diagram, we can easily see that z is the opposite side of the given angle and 13 is the hypotenuse. Thus;

z/13 = sin 57

z = 13 * sin 57

z = 13 * 0.83867

z = 10.90

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Hexagonal prism A has a surface area of 43 cm2.

A three-dimensional shape's surface area is the total area on its surface. A cuboid's surface area is calculated by adding the areas of each of its six rectangular sides. The cuboid's length, width, and height may all be identified, and the formula SA=2lw+2lh+2hw can be used to determine its surface area (SA).

The surface area of a hexagonal prism is given by the formula:

SA = 2B + PH

where B is the base's surface area, P is its perimeter, and H is the prism's height.

Since prism B is a dilation of prism A with a scale factor of 2, its surface area is four times the surface area of prism A. So we can write:

SA_B = 4×SA_A

where SA_B is the surface area of prism B and SA_A is the surface area of prism A

We are given that SA_B = 172 cm², so we can substitute this value into the equation above to find SA_A:

172 = 4×SA_A

SA_A = 43 cm²

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The length of the side is 10 units.

To solve word problems, we try to assign variables to the quantities involved and use the given information to interpret the situation as a mathematical equation. Mathematical equations can then be solved using various techniques, so we get a solution which is then reinterpreted into the situation.

Now, According to the question:

Let the length of the side is 'L'

The area of a square is numerically 60 more than the perimeter.

Then, P = perimeter = 4L

A = area = [tex]L^2[/tex]

A = P + 60 ⇒

[tex]L^2[/tex] = 4L + 60

[tex]L^2[/tex] - 4L - 60 = 0

(L - 10)(L + 6) = 0

L = 10 or -6

L must be positive,

Since s can't be negative, L = 10 units.

Hence, The length of the side is 10 units.

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Answer:yes

Step-by-step explanation:correct becuase

Answer:

Answer is ADB

Step-by-step explanation:

I believe that's the answer

Bill should use the "Print It"company.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

To determine which company Bill should use, you need to calculate the total cost of each option and compare them.

For "Print It," the total cost would be :

= 30 x $21.50

Apply the multiplication operation, and we get

= $645.00

For "Top Print," the total cost would be :

= $70.00 + (30 x $18.00)

= $690.00

Since the cost of "Print It" is lower than "Top Print," Bill should use "Print It" as it would be a more cost-effective option for him.

Thus, he should use the "Print It"company.

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The lower bound for the number of minutes it takes for all the people to leave is 67 minutes.

What is lower bound?

Lower bound refers to the smallest possible value in a range or interval of values. In the context of measurements or estimates, it represents the minimum value that a quantity or measurement is expected to be, based on the precision or accuracy of the measuring instrument or method.

To calculate the lower bound for the number of minutes it takes for all the people to leave, we need to use the following formula:

Lower bound = (total number of people - 0.5) / departure rate (in people per minute)

Using the given information, we have:

Total number of people = 29800 (correct to the nearest 100)

Departure rate = 400 (correct to the nearest 50)

To ensure we have a conservative estimate, we will round down the total number of people to 29750 and round up the departure rate to 450.

Therefore, the lower bound for the number of minutes it takes for all the people to leave is:

Lower bound = (29750 - 0.5) / 450

= 66.1 (rounded up to the nearest minute)

So the lower bound for the number of minutes it takes for all the people to leave is 67 minutes.

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answer:     12          

explanation:

To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.

Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.

To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:

p(x) = 0

Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.

To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:

q(x) = 0

Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.

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Sullivan received half as many candy as Carter did, or half as many candies as Sullivan received.

" Amount is defined as the representation of total quantity of given object."

According to the question,

Number of candies Sullivan got = s

Number of candies Carter got = 2s

Compare the given amount of data we get,

Number of candies Carter got = 2(Number of candies Sullivan got )

This shows Carter got twice number of candies comparison to Sullivan.

or

Number of candies Sullivan got = 1/2 (Number of candies Carter got)

Sullivan got half number of candies compare to Carter.

Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.

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Answer:

4 : 2 = 10 : 5.

Step-by-step explanation:

Let's put this in a fraction way. 4/2 = 2, and 10/5 = 2. Likewise, we can keep going and putting things that equal to 2. (e.g. 42 : 21)

Answer:

x = 2/3

0r 0.6(6)

both are positive

Step-by-step explanation:

3x - 5 = -3 is the answer positive or negative?

3x - 5 = -3

3x = -3 + 5

3x = 2

x = 2/3

0r 0.6(6)

Answer:

Step-by-step explanation:

2.75 x 8 = 22

Answer: B D I J M

Step-by-step explanation: you just gotta see if any of the two answers work an if they don’t it’s nethier!

The value of x, y and z in the trapezoid are solved to be

x = 6.3

y = 6.7

z = 5

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the polygon are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure the constant of proportionality from the quadrilateral  is

10 / 24 = 0.417

hence we solve for the dimensions as follows

x = 16 * 0.417 = 6.3

y = 16 * 0.417 = 6.67

z = 12 * 0.417 = 5

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∠5 is the alternate interior angle of ∠3.

What is transversal?

A transversal is a line that, at two different points in the geometry, cuts through two lines in the same plane. Various types of angles in pairs, including consecutive interior angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairs of that transversal. Alternate interior angles are what they are called.

Line m and line n are parallel and line l is transversal.

The alternate pairs of that transversal are ∠3 and ∠5.

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The probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

Simply put, probability is the liability that commodity will do. When we do not know how an event will turn out, we can bandy the liability or liability of several issues. Statistics is the study of events that follow a probability distribution.

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

Therefore, the probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Therefore, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

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