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Read the following excerpt taken from the US Supreme Court case Plessy v. Ferguson (1896). The case coming on for a hearing before the Supreme Court, that court was of opinion that the law under which the prosecution had was constitutional, and denied the relief prayed for by the petitioner. Ex parte Plessy, 45 La.Ann. 80. Whereupon petitioner prayed for a writ of error from this court, which was allowed by the Chief Justice of the Supreme Court of Louisiana. MR. JUSTICE BROWN, after stating the case, delivered the opinion of the court. This case turns upon the constitutionality of an act of the General Assembly of the State of Louisiana, passed in 1890, providing for separate railway carriages for the white and colored races. Acts 1890, No. 111, p. 152. The first section of the statute enacts “that all railway companies carrying passengers in their coaches in this State shall provide equal but separate accommodations for the white and colored races by providing two or more passenger coaches for each passenger train, or by dividing the passenger coaches by a partition so as to secure separate accommodations: Provided, That this section shall not be construed to apply to street railroads. No person or persons, shall be admitted to occupy seats in coaches other than the ones assigned to them on account of the race they belong to.” The Supreme Court’s ruling in Plessy v. Ferguson was problematic because


In the Plessy v. Ferguson case, the Supreme Court’s ruling of the “separate but equal” law being constitutional was problematic because the “separate but equal” law accepted segregation and the discrimination that were against blacks.

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Natural Forces Affecting the Driver In one or more complete sentences, explain how natural laws apply to the following scenarios: How does inertia affect a person who is not wearing a seatbelt during a collision? How does kinetic energy affect the stopping distance of a vehicle traveling at 30 mph compared to the same vehicle traveling at 60 mph? How does kinetic energy affect the stopping distance of a small vehicle compared to a large vehicle? Keeping in mind the kinetic energy of a moving vehicle, how can a driver best prepare to enter sharp curves in the roadway? Using information about natural laws, explain why some car crashes produce minor injuries and others produce catastrophic injuries. Signs, Signals, and Pavement Markings Imagine you are taking a road trip! Select a destination and navigate the trip. Answer the following questions in one or more complete sentences: Where will you go on your trip? You approach a railroad crossing with a cross buck sign that has no lights or gates. What should you do? You arrive at an intersection with traffic lights that are not working because of a power outage. What do you do? There is a flashing yellow light at the intersection you are approaching. What does the flashing yellow light indicate, and what should you do to safely navigate this intersection? On the road you are traveling, the pavement markings change from broken white lines to solid white lines between the lanes of traffic. What does the line change mean? After an hour on the expressway, your passengers need to use the restroom and they want to get some food. As you approach the next exit, what color sign will you look for, and what type of information would you expect to see on that sign? When you take the exit ramp off the expressway and merge onto the next road, you see yellow lines dividing the roadway. What do the yellow lines tell you about the traffic flow?


Natural Forces Affecting the Driver:

1. While the car stops, the person continues moving the way that the car were moving and then hits the obstacle in the car or the person can be thrown out of the vehicle. If the person wears belt, he will stop moving with the vehicle and won’t hit the obstacle.

2. We count approximate kinetic energy using the formula K = v^2. So the vehicle which is moving at 30 mph will have four times less kinetic energy than vehicle which is moving at 60 mph. If they have the same road conditions, the breaking distance will be four times as great for the car moving twice as fast.

3. Kinetic energy depends on object’s mass and velocity and it has direct relationship with the stopping distance. The lesser mass of the vehicle = the lesser kinetic energy and lesser stopping distance. => If both vehicles have the same velocity, then small vehicle has lesser kinetic energy than large vehicle.

4. We know that kinetic energy has this relationship with velocity K = v^2. So the best way to prepare to enter sharp curves in the roadway is to lower the speed. The most appropriate speed is 20-30 mph, but it depends on road conditions and car’s breaks condition.

5. Car crashes can happen with everyone so the best way is to be prepared. First the driver should wear a seatbelt while he’s driving. He should check his tires and breaks condition regularly. And also it’s important to slow down the vehicle while entering sharp curves. Without following these rules, the driver can get catastrophic injuries in a car crash.

Signs, Signals, and Pavement Markings: 

1. It doesn’t matter where you go. All you need is to learn highway code. It’s very different to know the meanings of every road sign. Also, it’s necessary to check your car’s conditions and you should take some spare parts for your car in case of accidents. So wherever you go, it’s important to be prepared.

2. You should stop before crossing and take few minutes to make sure there is no train approaching. If there is no train approaching, you can pass a railroad crossing. If you see approaching train, you should wait until it will pass a railroad crossing.

3. You should stop before the lights and wait to check the traffic movement and signs. Make sure that everything is safe and pass the intersection. Don’t move fast to avoid accidents.

4. Flashing yellow light means that it’s not necessary to stop but you should to pay attention on the traffic movement. So it would be better to yield before the lights and make sure if it’s safe to move. After that you can cross the intersection.

5. The line change means that the lane changes and you can’t cross solid lines. Pay more attention on road marking because it shows how you should behave on the road or highway.

6. As you approach the next exit and  your passengers need to use the restroom and get some food, you should look for green signs which indicate food and rest stops. You should to slow down if you don’t want to skip the sign.

7. When you take the exit ramp off the expressway and merge onto the next road, you see yellow lines dividing the roadway which indicates that there is oncoming traffic and this is a two-way highway. 


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The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step?



High School P has the most consistent attendance among its students.

School N should be awarded for the highest average attendance.

Step-by-step explanation:

Consider the provided information.

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically.

Standard deviation (σ) is a measure of how a data set is spread out.

If the standard deviation is low, this implies that the information tends to be near to the set mean, whereas a high standard deviation implies that the information points are spread across a wider spectrum of values.

Therefore, for more consistency we need to look for the low standard deviation.

From the provided table we can see that the school P has low standard deviation (σ) i.e 31.5

Hence, High School P has the most consistent attendance among its students.

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

The formula for mean is:


Mean is the same as average.

The sum of mean or average will be larger if each students contributes more attendance.

For highest average attendance the school with higher mean should be awarded.

Hence, School N should be awarded for the highest average attendance.


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Yi and Sue play a game. They start with the number 42000. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way. For example, Yi could start by dividing 42000 by 3. In this case, he would pass Sue the number 14000. Then Sue could divide by 7 and pass Yi the number 2000, and so on. The players are not allowed to produce a quotient that isn’t an integer. Eventually, someone is forced to produce a quotient of 1, and that player loses. For example, if a player receives the number 3, then the only prime number (s)he can possibly divide by is 3, and this forces that player to lose. Who must win this game


Naturally, any integer n larger than 127 will return 127equiv127mod n, and of course 127equiv0mod127, so we restrict the possible solutions to 1le n<127.


127equiv7mod n

is the same as saying there exists some integer k such that


We have

implies 120=nk

which means that any n that satisfies the modular equivalence must be a divisor of 120, of which there are 16: {1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}.

In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,


(If we’re allowing n=1, then I see no reason we shouldn’t also allow 2, 3, 4, 5, 6.)


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“Ana and her friends are hiking a trail that is 8 1/4(fraction one over four) miles long. They want to finish the trail in 3 hours. How many miles must they hike each hour?” ::NOTE; please don’t answer the question, answer this; Would i be using multiplying or dividing?


So we will use n= total number of magazines each 

we start with $2n and $1.50n

then we add $2 and $1.50 =  $3.50n

with that we put $3.50 into an equation  $3.50n = $10.50

so now lets get rid of those decimals by taking 3.5 and doubling it to become 7  after that we need to double 10.5 to 21 

so our new equation is 7n = 21

lets get n be itself by dividing 7 from both sides so that on the side with 7n the 7 cancels out

Finally n=21/7  which equals 3 

so they both both 3 magazines each so if your looking for the total number of magazines between then they got 6 magazines