A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 6 colors: red, purple, blue, green, white, or orange. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color green and then rolling an even number?

Answer:

The average rate of change of a function over an interval is a measure of how the function's value changes over that interval, given by the ratio of the change in the function's value to the change in the independent variable. To find the average rate of change of a function over an interval, we need to know the function's values at two points in the interval.

In the case of the function f(x) = x^2, the interval is -4 ≤ x ≤ 0. To find the average rate of change, we need to find the difference in the function's value between two points in this interval, and divide that by the difference in the x-values.

For example, if we compare the values of the function at x = -4 and x = 0, we have:

f(-4) = (-4)^2 = 16

f(0) = 0^2 = 0

The difference in the function's value is f(0) - f(-4) = 0 - 16 = -16.

The difference in the x-values is x2 - x1 = 0 - (-4) = 4.

So the average rate of change over this interval is the difference in the function's value divided by the difference in the x-values, or -16 / 4 = -4.

In other words, the average rate of change of the function f(x) = x^2 over the interval -4 ≤ x ≤ 0 is -4, meaning that for every 4 units of change in x, the function value decreases by 16 units.

Step-by-step explanation:

∠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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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:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

answer:     12          

explanation:

Answer:

Step-by-step explanation:

2.75 x 8 = 22

Answer:yes

Step-by-step explanation:correct becuase

Answer:

Answer is ADB

Step-by-step explanation:

I believe that's the answer

Answer:

13 or 17

-------------------

Given numbers:

Put them in the ascending order:

Let the possible number to be added be x.

Since x is the median, it should be between 13 and 17:

Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.

The number of weeks when Sofia will catch up to Jacob will be 2 weeks.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Let 'x' be the number of weeks and 'y' be the total test. Then the equations are given as,

y = 4 + 3x           ...1

y = 8 + x            ...2

From equations 1 and 2, then we have

4 + 3x = 8 + x

3x - x = 8 - 4

2x = 4

x = 2

The number of weeks when Sofia will catch up to Jacob will be 2 weeks.

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Answer:

none of them do

Step-by-step explanation:

5/6=0.83

6/5=1.2

4/5=0.8

5/4=1.25

11/5=2.2

Answer:

x = 20

Step-by-step explanation:

since the 3 sides of the triangle are congruent then it is equilateral with 3 congruent angles, each of 60° , then

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

20

Step-by-step explanation:

We know that sum of corner of a triangle is 180° and if the triangle is equilateral, the corners are same

180:3=3x

60=3x

x=20

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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a. The projectile will be at a height of 576 ft above the ground after 1.43 seconds and after 5.56 seconds.

b. The projectile will crash on the ground after 9.84 seconds.

The solution has been obtained by solving the equation.

What is an equation?

A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.

We are given an equation as h = -16t² + v₀t + 448

Also v₀ is given as 112.

a. In order to find the time (t) the projectile will be at a height of 576 ft above the ground, we need to substitute h = 576 and v₀ = 112.

On substitution, we get

⇒h = -16t² + v₀t + 448

⇒576 = -16t² + 112t + 448

⇒36 = -t² + 7t + 28                (On dividing both sides by 16)

⇒0 = -t² + 7t - 8  

⇒t² - 7t + 8 = 0  

On solving the equation using the quadratic equation formula, we get

t = (7 ± √49 - 32)/2

t = 1.43 or 5.56

So, it will be at height 576 ft after 1.43 seconds and after 5.56 seconds.

b. Similarly, now we will put h = 0 and v₀ = 112.

Now, we get

⇒0 = -16t² + 112t + 448

⇒t² - 7t - 28 = 0                (On dividing both sides by 16)

On solving the equation using the quadratic equation formula, we get

t = (7 ± √49 + 112)/2

t = 9.84 or -2.84

Since, time cannot be negative, so it will crash after 9.84 seconds.

Hence, the projectile will be at 576 ft after 1.43 seconds and after 5.56 seconds and will crash on the ground after 9.84 seconds.

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The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.

The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:

P(Medical Assistance) = 0.67

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability

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A general formula to describe is F = 1.6×d² will be correct answer.

A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.

Finding the general formula we obtain:

F=kd²

40=k×5²

k=1.6

so, F =1.6×d².

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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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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 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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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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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.

Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.

By keeping the above instructions in mind, conclusion can be made that :

Functions : (i), (ii), (iii), (iv) and (vi)

Non function : (v) and (vii)

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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The correct option is B, the system of equations has infinitely many solutions.

When we graph a system of equations, the points where the graphs of the equations intercept are the solutions.

In this case we can see a single line graphed, which only can happen when both equations of the system represent the exact same line.

Then the graphs intercept at infinite points, thus, the system of equatios has infininitely many solutions.

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Answer:

Step-by-step explanation:

(227-127)/4=x

"/" means divide.

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: 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!

Answer: 5/12

Step-by-step explanation:

2/3 - 1/4 = 5/12

Answer:

1.75

Step-by-step explanation:

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.

Answer:

Diatance biked = rate • time

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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The cost of one ounce of chocolate cream at Philadelphia according to the cost in pound will be $0.47.

We are aware of the fact that 1 pound is equal to 16 ounces. So, the cost of one pound will be the cost of 16 ounces. Representing this information in ounces and expression -

Cost of 1 pound = 7.52

Rewriting the equation according to ounce

Cost of 16 ounces = 7.52

So, cost of 1 ounce = 7.52/16

Performing division on Right Hand Side of the equation

The cost of one ounce = 0.47

Therefore, the cost of one ounce will be $0.47.

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