Which scenario best illustrates a violation of substantive due process?


A. A city council passes a law that imposes a fine for vandalizing

public property.


B. A new law fines book publishers for printing content that is

considered unpatriotic.


C. A police officer decides not to give a man a ticket even though he

is speeding.


D. A drug dealer with several prior convictions is sent to prison

without a trial.

Answers

Answer 1

A violation of substantive due process (B)A new law fines book publishers for printing content that is considered unpatriotic. A drug dealer with several prior convictions is sent to prison without a trail.

The procedural rights guaranteed by the United States Constitution ensure that all citizens are treated equally before the law. For example, all citizens have the right to a lawyer, to a public and speedy trial, to have their case judged by a jury of their peers, etc.

In Scenario B, the drug dealer's rights are violated by law enforcement. Even if he has a criminal record, law enforcement has no right to immediately throw him in jail.

Due process is the application of all legal rules and principles relating to a case by the state to uphold all legal rights of individuals. Due process balances the power of the laws of the land and protects individuals against the laws. When the government harms a person without following the exact procedure of the law, it is a violation of due process and violates the rule of law.

It is the constitutional process in which the federal government before denying a citizen the right to life, liberty, or freedom, must give proper notice to the person, the opportunity of being heard, and the decision is taken without any discrimination. The act which violates the Procedural due process is giving a driver a traffic ticket without telling him, his right, i.e, can appeal in court against it.

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Related Questions

The top of the hill rises 115 feet over -167 what is the altitude of the top of the hill

Answers

-282 Because if you do 155 – -167 you get 282

A tank is shaped like an upside-down square pyramid, with base of
3m by 3m and a height of 16m. How fast does the height increase when the water is 9m deep if water is being pumped in at a rate of 2/3 m^3/s? Round to 3 decimal places. Note: The volume of a square pyramid is V=((s^2*)h)/3 where s is the length of one side of the base and h is the height

Answers

The rate at which the height of the water is increasing when water is being pumped in at a rate of 2/3 m/s and the water is 9m deep is 0.667 m/s.

We can start by using the formula for the volume of a square pyramid to find the volume of water in the tank. Let V be the volume of water in the tank and h be the height of the water.

V = (s² [h])/3

We know that the base of the pyramid is 3m by 3m, so s = 3. Also, the height of the pyramid is 16m, so we have:

V = (3² [h])/3

V = 3h

Now, we can find the rate of change of the volume with respect to time:

dV/dt = 3 [dh/dt]

We know that water is being pumped in at a rate of 2/3 m/s, so dh/dt = 2/3. We want to find how fast the height increases when the water is 9m deep, so h = 9. Substituting these values, we get:

dV/dt = 3 [dh/dt]

dV/dt = 3 [2/3]

dV/dt = 2

Therefore, the rate at which the volume of water is increasing is 2 cubic meters per second. To find the rate at which the height of the water is increasing, we need to solve for dh/dt:

dV/dt = 3 [dh/dt]

2 = 3 * dh/dt

dh/dt = 2/3

So the height of the water is increasing at a rate of 2/3 m/s when the water is 9m deep. Rounded to 3 decimal places, the answer is 0.667 m/s.

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Select all that are a radius of circle O.

A) OC
B) OB
C) PQ
D) AB

Answers

The parts that are called radius as shown from the diagram are: OC and OB (option A and B)

How do i know which part of the circle is called radius?

The radius of a circle is defined as the distance from the center of the circle to any point on the circumference. However, the radius is also obtained by dividing the diameter of a circle by 2

Now, we shall consider the diagram given to determine the distance from the center to the circumference (i.e radius). This is shown below:

Line PQ is not a radius since it does not start from the centerLine OA is called a radius since it starts from the centerLine OB is called a radius since it starts from the centerLine OC is called a radius since it starts from the center

Considering the options given from the question, we can conclude that the parts of the circle which is called the radius are: OC and OB (option A and B)

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Mark wants to order a pizza. Drag and drop the correct number or phrase into each box to complete the explanation for which is the better deal. Round your answer to the nearest cent. Use 3.14 for . Donnie's Pizza Palace Diameter (in.) Cost ($) The 10-inch pizza costs about 0.13 10-inch 10 10 ? & per square inch. The 16-inch 16 20 10 13 0.1 c per square inch while the 16-inch pizza costs about pizza is a better deal. 4​

Answers

The 16-inch pizza is a better deal as it costs about $0.10 per square inch while the 10-inch pizza costs about $0.13 per square inch.

Donnie's Pizza Palace Diameter (in.) Cost ($) Cost per Square Inch ($/in²)

10-inch 10 10 0.13

16-inch 16 20 0.1

To determine which pizza is the better deal, we need to compare the cost per square inch of each pizza.

For the 10-inch pizza:

Cost per square inch = Cost / (π x [tex](diameter/2)^2)[/tex]

Cost per square inch = 10 / [tex](3.14 x (10/2)^2)[/tex] ≈ $0.13

For the 16-inch pizza: Cost / (πx x [tex](diameter/2)^2)[/tex]

Cost per square inch =[tex]20 / (3.14 x (16/2)^2) ≈ $0.10[/tex]

Therefore, the 16-inch pizza is a better deal as it costs about $0.10 per square inch while the 10-inch pizza costs about $0.13 per square inch.

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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x)=-x^2+20x+50 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 1 to year 10.

Answers

The average rate of change from year 1 to year 10 is: (150 - 69)/9 = 9 based on the given function.

The amount of maize the farmer's land is yielding in pounds per acre over x years is represented by the function f(x)=[tex]-x^2+20x+50[/tex].

We must compute the change in f(x) for the range [1,10] and divide by the interval's length to determine the average rate of change from year 1 to year 10.

f(1) = [tex]-(1)^2[/tex] + 20(1) + 50 = 69

f(10) = [tex]-(10)^2[/tex] + 20(10) + 50 = 150

Hence, the change in f(x) throughout the range [1,10] is as follows:

f(10) - f(1) = 150 - 69 = 81

And the interval [1,10] has the following length:

10 - 1 = 9

Thus, from year one to year ten, the average rate of change is:

(150 - 69)/9 = 9

By interpreting the average rate of change, we can conclude that from year 1 to year 10, the farmer's land's yield of maize per acre is growing at a pace of 9 pounds each year. This indicates that, on average, throughout the course of these ten years, the farmer can anticipate harvesting 9 extra pounds of maize per acre.

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what is 8,842 round to the nearest hundred

Answers

Answer: 8800

Step-by-step explanation:

Rounds down because 42 is less than 50

rewrite 0.266666666 recurring in a fraction​

Answers

The equivalent fraction of the given repeating decimal is: 4/25

How to write a recurring decimal as a fraction?

A recurring Decimal is defined as a decimal number only that consists of digits repeating after a fixed interval after the decimal.

Let a/b denote the unknown fraction

Thus:

a/b = 0.266666666...   ------(1)

Multiply both sides of the equation by 10 to produce

10a/b = 2.66666666...   -----(2)

Multiply both sides of the equation 1 by 100 to produce:

100a/b = 26.6666666...    -----(3)

Subtract eq 2 from eq 3 to get:

90a/b = 24

a/b = 24/90

a/b = 4/15

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Question 5 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation (-4, 2); y = -x+6​

Answers

Step-by-step explanation:

If it is parallel to the line y = -x + 6, they have the same gradient and the gradient is the coefficient of x which is -1.

We use the equation y=mx+c

Y is 2

M is -1

X is -4

2 = (-1×-4) + c

2 = 4 + c

C = 2 - 4 = -2

Y = -x -2

Calculate the volume of a pie
that has flat sides so that it is
shaped like a cylinder. The pie
has a radius of 3 inches and a
height of 2 inches.

Answers

Answer:

56.54 inches

Step-by-step explanation:

If the radius is 3 inches, to find the area of the circle your equation would be A = (pi) x r^2

Your equation would look like this:

A = (pi) x 3^2

A = 28.27

Now to get the volume of the pie, you would multiply 28.27 x 2 which gives you an answer of 56.54 inches.

Help me with this math problem please

Answers

Part a: ∠ABE and ∠DBE share a ray EBC as EBC is a straight line.

Part b: ∠ABE and ∠DBE are opposite to each other. Thus, the are termed as the  vertical angles.

Explain about the vertical angles?

Angles that are opposing each other whenever two lines connect are known as vertical angles. According to the vertical angles theorem, vertical angles are consistently congruent.

When two lines in geometry connect, four angles are created. Vertical angles are those that are not next to one another or that are opposing one another. Since they always utilize the same measure, vertical angles are unique.

Postulate for Angle Addition: When two neighbouring angles combine to make a straight line, its result is 180°.

The given angles:

∠ABE = ∠DBE (vertical angles)

Part a: ∠ABE and ∠DBE share a ray EBC .

Part b: ∠ABE and ∠DBE are opposite to each other. Thus, the are termed as the vertical angles.

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the speeds of four vehicles were measured at the midpoint of a roadway section as 55, 50, 74, and 78 mph, respectively. if all vehicles were traveling at constant speed over this roadway section, what was the space-mean speed (rounded to the nearest mph) for the four vehicles?

Answers

The space-mean speed of the four vehicles is approximately 64 mph.

The given information about the speeds of four vehicles measured at the midpoint of a roadway section are as follows:Vehicle Speed (mph)A 55B 50C 74D 78The space-mean speed of the four vehicles can be found out by the following formula:Space-mean speed = {Sum of the individual speeds of the vehicles}/{Number of vehicles}Space-mean speed = (55 + 50 + 74 + 78)/4Space-mean speed = 257/4Space-mean speed ≈ 64 mph (rounded to the nearest mph)

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What is the volume of a cake box that is 12 inches long, 9 inches wide, and 6 inches high? (1 point)


a

102 cubic inches


b

252 cubic inches


c

648 cubic inches


d

972 cubic inches


help

Answers

The volume of the cake box is c. 648 cubic inches.

Define volume

Volume refers to the amount of space occupied by an object or a three-dimensional figure. It is typically measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³).The volume of an object can be determined by multiplying its length, width, and height if it has a regular shape such as a rectangular prism or cube.

A rectangular box's volume is equal to its length, width, and height.

Substituting the given values, we get:

Volume of a cake box = 12 inches x 9 inches x 6 inches

Volume = 648 cubic inches

Therefore, the volume of the cake box is 648 cubic inches.

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I need all the help in the world

Answers

Triangle XYZ will be translated to X'Y'Z' and the coordinates of Z' are (6,7).

Describe transformation.

A transformation known as a translation involves shifting each point in an image uniformly in one direction. It is also a type of transformation where every point in a figure is moved by the same amount in the same direction, producing a new figure that is identical to the original.

From the graph,

The coordinates of X are (7, 11)

The coordinates of Y are (10, 14)

The coordinates of Z are (8, 7)

When triangle XYZ is translated to X'Y'Z', the X-coordinate is given as (5, 11), which means the X-coordinate shifts left 2 points, so we need to subtract 2 from X-coordinate and keep Y-coordinate as it is.

Therefore the coordinate of the triangle X'Y'Z' are as follows,

The coordinates of X' are (7-2, 11) = (5,11)

The coordinates of Y' are (10-2, 14) = (8, 14)

The coordinates of Z' are (8-2, 7) = (6, 7)

Therefore the coordinates of Z' are (6,7)

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The function f
has reference points (0, 1)
and (1, 2). What do the reference points become for the transformation given by g
?

g(x)=2⋅f(x)+2

Answers

the reference points for the transformation given by g(x) = 2*f(x) + 2 are (0, 4) and (1, 6).

The given function f has reference points (0, 1) and (1, 2). To find the reference points for the transformation given by g(x) = 2*f(x) + 2, we need to apply the transformation to each of the original reference points.

For the first reference point (0, 1), we have:

g(0) = 2f(0) + 2 = 21 + 2 = 4

So the transformed point is (0, 4).

For the second reference point (1, 2), we have:

g(1) = 2f(1) + 2 = 22 + 2 = 6

So the transformed point is (1, 6).

Therefore, the reference points for the transformation given by g(x) = 2*f(x) + 2 are (0, 4) and (1, 6).

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Find the surface area of the triangular prism. A drawing of a triangular prism. The base is a right triangle with base 9 inches, height 12 inches, and third side 15 inches. The height of the prism is 29 inches

Answers

The surface area of the triangular prism is 891 square inches, calculated by finding the area of each face (two triangular and three rectangular) and adding them up.

To find the surface area of the triangular prism, we need to find the area of each face and add them up.

The triangular prism has two identical triangular faces and three rectangular faces. The triangular faces have base 9 inches, height 12 inches, and hypotenuse 15 inches. The area of each triangular face can be found using the formula for the area of a triangle:

Formula for area of each triangular face = (1/2) x base x height

= (1/2) x 9 x 12

= 54 square inches

The prism also has three rectangular faces, each with length equal to the base of the triangle (9 inches) and width equal to the height of the prism (29 inches). The area of each rectangular face can be found using the formula for the area of a rectangle:

Area of each rectangular face = length x width

= 9 x 29

= 261 square inches

Hence, the triangular prism's total surface area is:

Total surface area = 2(Area of each triangular face) + 3(Area of each rectangular face)

= 2(54) + 3(261)

= 108 + 783

= 891 square inches

Therefore, the surface area of the triangular prism is 891 square inches.

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two trains leave stations 418 miles apart at the same time and travel toward eact other. once treain trevels at 85 mph and the ohter treavels at 105 mph. how long willit take for the two trains to meet

Answers

It will take 2.2 hours for the two trains to meet.

We can find the time taken by the two trains to meet by using the formula,

large Time=Distance/Speed

Let's consider the time taken by the two trains to meet be "t".The distance between two trains = 418 miles.

Now, the first train is traveling at a speed of 85 mph and the second train is traveling at a speed of 105 mph.

Let's calculate the distance covered by both the trains in time "t".The distance covered by the first train in time "t"=85t.

The distance covered by the second train in time "t"=105t.

So, the total distance covered by both the trains in time "t" is,

Distance covered = 85t+105t=190t.

But we know the distance between the two trains is 418 miles.

Therefore,190t = 418

Now, solve for "t"t = 418/190t = 2.2 hours

Therefore, the two trains will meet in 2.2 hours.

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The trapezoid has base lengths of 8 inches and 9 inches. The height of the trapezoid is 13 inches.

Answers

Answer:

110.5 inches

Step-by-step explanation:

A=( a + b) / 2 h

A = (8 + 9) / 2 x 13

A = 17 / 2 x 13

A = 110.5 inches

I need help show work

Answers

The probability of landing in the color green is P = 0.41, and out of 160 spuns, we can expect to get the color green 66 times.

What is the probability of the spinner landing on green?

We have a table and we want to use it to find the probability of the spinner landing on green.

It is equal to the quotient between the number of times that we got green and the total number of times that we spun the spinner.

We got green 325 times, and the total number is:

T = 116 + 325 + 359

T = 800

Then the probability is P = 325/800 = 0.41

b) If it is spun 160 times, then we will get 0.41 times 160 green landings, it is:

160*0.41 = 65.6

This can be rounded up to 66, we can expect to land in the green section 66 times.

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4x-3y=18 I need the work to be shown please

Answers

Answer:

[tex]x = \frac{3(6+y)}{4}[/tex]

Step-By-Step Explanation:

First Step:

[tex]4x=18+3y[/tex]

Second Step:

[tex]x = \frac{18+3y​}{4}[/tex]

Last Step:

[tex]x = \frac{3(6+y)}{4}[/tex]

What organ system contains the heart and blood vessels?

Answers

The circulatory system's primary functions are listed above. Service for the body's cells is provided by the heart, blood, and blood vessels.

Through the system of veins, arteries, and capillaries, blood transports carbon dioxide towards the lungs (for expiration) and takes up oxygen. Both liquid and solid components make up your blood. Water, salts, and protein make up the liquid component, known as plasma.

Plasma makes up most of your blood. Red blood cells, white blood cells, and platelets make up the solid portion of your blood. The oxygen from your lungs is carried to human tissues and organs by red blood cells (RBC).

The study on quality, organization, location, and change is what arithmetic is all about. Mathematicians look for patterns and come up with new theories.

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Which expression is an equivalent expression for 2(6y – 4)?

Answers

Answer:

12y-8

Step-by-step explanation:

I NEED HELP ON THIS ASAP! PLEASE IT'S DUE TODAY!!!

Answers

Answer:

below

Step-by-step explanation:

A (0,8)

B (8,0)

C(0,-8)

D(-8,0)

AB ( 4, 4 )

8/2 , 8/2

(x1+x2/2, y1+y2/2)

BC ( 4,-4 )

8/2 , -8/2

CD ( -4,-4 )

-8/2 -8/2

AD ( -4,4 )

-8/2 8/2

The polygon formed is a square because they all have sides with same lengths

If it was repeated it will still be a square

A man left on a trip of 450 kilometres at 10 am. He stopped for a rest for
40 minutes and had another break of an hour for lunch. What time did he
finish the trip, if he was travelling at an average speed of 50 kilometres per
hour?

Answers

Therefore, the man finished his trip at 8:40 pm with total travelling time of 10 2/3 hours.

What is fraction?

In mathematics, a fraction is a representation of a part of a whole or a ratio between two quantities. It consists of two numbers, a numerator and a denominator, separated by a horizontal line, also called a fraction bar or a vinculum. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts that make up the whole.

Here,

We can solve this problem using the formula:

distance = rate x time

Let's start by finding the time it took for the man to travel 450 kilometers at an average speed of 50 kilometers per hour:

time = distance / rate

time = 450 km / 50 km/h

time = 9 hours

So the man spent 9 hours travelling. However, he also took two breaks: a 40-minute rest and a 1-hour lunch break. We need to convert these times to hours to include them in our calculation.

40 minutes is equal to 40/60 = 2/3 hours, and 1 hour is simply 1 hour. So the total time the man spent travelling, including the breaks, is:

total time = 9 hours + 2/3 hours + 1 hour

total time = 10 2/3 hours

To find the finishing time, we add the total time to the starting time of 10 am:

finishing time = 10 am + 10 2/3 hours

finishing time = 8:40 pm (rounded to the nearest minute)

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Find the area of the shaded region:
6 m
4 m
8 m
12 m

Answers

Therefore, the area of the shaded region is 72 square meters.

What is Triangle?

A triangle is a three-sided polygon that is formed by connecting three straight lines or line segments. It is a basic geometric shape that is commonly studied in mathematics, geometry, and trigonometry. Triangles have a wide range of properties and characteristics that are important in various fields of study, including their angles, sides, and area. Triangles can be classified based on their angles (as acute, right, or obtuse triangles) or based on their sides (as equilateral, isosceles, or scalene triangles). The study of triangles is fundamental in many areas of mathematics and physics and is also important in practical applications such as engineering, architecture, and surveying.

by the question.

To find the area of the shaded region, we first need to find the area of the entire rectangle. The area of a rectangle is given by the formula: length x width.

The length of the rectangle is 12 meters, and the width is 8 meters, so the area of the entire rectangle is:

12m x 8m = 96 square meters

Next, we need to find the area of the triangle that is not shaded. The base of the triangle is 6 meters, and the height is 8 meters. The area of a triangle is given by the formula: 1/2 x base x height.

1/2 x 6m x 8m = 24 square meters

Finally, we can find the area of the shaded region by subtracting the area of the triangle from the area of the entire rectangle:

96 square meters - 24 square meters = 72 square meters

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Consider the basis of . Let be the linear transformation such thatSet. Compute .Consider the basis B = ([ 0 ] , [ 0 ] , [ 1 ] of R^3. [ 0 ] [ -1 ] [ -2 ][ 1 ] [ -1 ] [ 1 ]Let T:R^3→R^2 be the linear transformation such that T( [0] ) = [1] , T ([ 0 ]) = [3] , T([ 1 ]) = [ 0][0] [1] [ -1] [2] [ -2] [-1][1] [ -1] [ 1 ]Set v = [ -1 ] Compute T(v).[ 1 ][ -2 ]T(v) = [ .... ]

Answers

The value of T(v), express v as linear combination in the basis B and the matrix representation of T obtain is T(v) = [4, -4].

To find T(v), we need to express v as a linear combination of the basis vectors of R^3 with respect to B:

v = (-1)[0] + (-1)[0] + (1)[1]

This means that the coordinate vector of v with respect to B is [-1, -1, 1].

To find the matrix representation of T with respect to the standard bases of R^3 and R^2, we can apply T to each of the basis vectors:

T([1, 0, 0]) = [1, 3]

T([0, 1, 0]) = [-1, 1]

T([0, 0, 1]) = [2, -2]

We can arrange the results in a matrix:

[1 -1 2]

[3 1 -2]

The matrix [1 -1 2; 3 1 -2] represents T with respect to the standard bases of R^3 and R^2.

To find T(v), we can multiply the matrix representation of T with the coordinate vector of v with respect to B:

T(v) = [1 -1 2; 3 1 -2] * [-1; -1; 1] = [4; -4]

Therefore, T(v) = [4, -4].

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Ten people (labeled 1-10) have purchased raffle tickets for a fundraiser. However, they did not all purchase the same
number of tickets. One ticket is to be selected at random. Which of the following could be the probability distribution for
the winning ticket?
C
1
0.10
1
2
0.01 0.01
2
0.10
1
3
4
5
6
0.10 0.10 0.10 0.10
3
4
5
0.05 0.07 0.68
1
2
0.125 0.125
6
0.01
2 3
4
5
6
7 8 9 10
0.01 0.11 0.02 0.12 0.03 0.13 0.04 0.14 0.05 0.15
3
0.125
7
8 9 10
0.10 0.10 0.10 0.10
5
7 8 9 10
0.05
0.03 0.01 0.08
6
4
7
9
10
0.125 0.125 0.125 0.125 0.125 0.125 0.125
8

Answers

The correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

Explain about the probability distribution?

A frequency distribution that has been idealised is a probability distribution.

Each individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value for a particular variable appears.The probability of occurrence of a value determines how frequently it appears in a sample. Probability is a value between 0 and 1 that indicates the likelihood that something will happen:

Zero denotes impossibility.1 denotes a certainty.

Total people = 10 (1 - 10)

One ticket is selected at random from each person.

As the selection is independent events of each other, each will have the same probability.

So,

probability = favourable outcome / total outcome.

probability = 1/10

probability = 0.10.

Thus, the correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

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8. Look at the spinner below. Allie spins the spinner 2 times.. K SA % What is the probability she will spin a on the first spin and & on the second spin? (if you can could you please explain how you got the answer)​

Answers

If Allie spins the spinner 2 times. the probability that Allie spins A on the first spin and & on the second spin is: B. 1/16.

How to find the probability?

Based on the information provided, the spinner has four possible outcomes: K, S, A, and %, each with equal probability of 1/4.

To find the probability that Allie spins A on the first spin and & on the second spin, we need to multiply the probability of spinning A on the first spin (1/4) by the probability of spinning & on the second spin (1/4), because the two events are independent.

Therefore, the probability is:

P(A on first spin and & on second spin) = P(A) × P(&) = (1/4) × (1/4) = 1/16

So the probability that Allie spins A on the first spin and & on the second spin is 1/16.

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The angle of elevation to a nearby tree from a point on the ground is measured to be 54° How tall is the tree if the point on the ground is 52 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Therefore, the tree is 78.14 feet tall. Rounded to the nearest hundredth of a foot, the answer is 78.14 feet.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is a fundamental part of geometry and is used in many areas of science, engineering, and technology.

by the question.

A represents the top of the tree, and the line segment AB represents the height of the tree, which we want to find. The angle of elevation, which is the angle between the ground and the line of sight to the top of the tree, is 54°. The distance from the point on the ground to the tree is 52 feet, which we'll call d. Finally, h represents the distance from the ground to the point where the line of sight intersects the tree.

Using trigonometry, we know that:

tan (54°) = h/d

We can rearrange this equation to solve for h:

[tex]h = d * tan (54)[/tex]

Plugging in the values we know, we get:

[tex]h = 52 * tan (54) = 78.14[/tex]

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-5
-4
-3
A
7
-1
6-
5
4
3-
2
1
O
4
2
-3
-4
-5
-6
-7
A
B
2 3 4 SX
Shape A can be transformed to shape B by
a reflection in the x-axis followed by a
translation
(8)
Find the value of c and the value of d.
C =
d =

Answers

The value of c is equal to 4.

The value of d is equal to 0.

What is a reflection across the x-axis?

In Geometry, a reflection across or over the x-axis is modeled and represented by the following transformation rule (x, y) → (x, -y). Therefore, a reflection across or over the x-axis would maintain the same x-value while the sign of the y-value would change from negative to positive or positive to negative as the case may be.

One of the vertices of triangle A is given by:

(x, y)                 →         (x, -y)

A (-1, -1)            →         A' (-1, -(-1) = (-1, 1)

When a translation is applied to triangle A', one of the corresponding or resulting vertices of triangle B is given by:

B (3, 1)

A' (-1 + c, 1 + d) → B (3, 1)

-1 + c = 3

c = 3 + 1

c = 4.

1 + d = 1

d = 0

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A survery showed that 12 out of 20 homeowners in the neighborhood had HBO TV subscription. If there are 320 homeowners in the neighborhood, how many could be expected to have a HBO subscription?

Answers

Answer:

192

Step-by-step explanation:

320/20=16

12x16=192

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