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If 20 beats are produced within a single second, which of the following frequencies could possibly be held by two sound waves traveling through a medium along a common path at the same time A. 38 Hz and 63 Hz B. 18 Hz and 26 Hz C. 47 Hz and 55 Hz D. 22 Hz and 42 Hz


Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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_______________________ is the architecture where significant hardware, software and possibly even data elements reside on the internet.


The answer to this question is Digital technology.

Digital technology refers to the software and hardware that
are used in our homes, schools, and offices which are evolving. Digital technologies
are electronic tools like online games, social media, and mobile devices.
Digital technology comprises of electronics like fast computers, portable
devices, and networks with higher connections.

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Read this quote from Zimmermann in The Code Book. In the past, if the government wanted to violate the privacy of ordinary citizens, it had to expend a certain amount of effort to intercept and steam open and read paper mail, or listen to and possibly transcribe spoken telephone conversations. This is analogous to catching fish with a hook and a line, one fish at a time. Fortunately for freedom and democracy, this kind of labor-intensive monitoring is not practical on a large scale. Today, electronic mail is gradually replacing conventional paper mail, and is soon to be the norm for everyone, not the novelty it is today. Unlike paper mail, e-mail messages are just too easy to intercept and scan for interesting keywords. This can be done easily, routinely, automatically, and undetectably on a grand scale. This is analogous to driftnet fishing—making a quantitative and qualitative Orwellian difference to the health of democracy. What is the purpose of the quote from Zimmermann? It explains how much faster e-mail travels than ordinary mail. It shows how easily digital mail can be monitored by outsiders. It states exactly how many people use e-mail instead of regular mail. It proves that e-mail is better for the health of democracy than regular mail.


Hey there!

Correct answer is D. Comma or Period Inside Rule

A. Question mark or exclamation point inside: those are not really necessary.

B. Colon or semicolon: not, a semicolon would divide the whole sentence and it would be shorten; a colon would work but after requested, when there is already a comma.

C. Question mark or Exclamation Point Outside Rule: would not work, becase it is an very polite and affirmative sentence.

D: A comma or period inside rule: actually, just a comma would work. Please, Cooper’s dad requested, go… Cooper’s dad requested must be in between commas as it is a vocative.

Hope this helps

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Read the excerpt from “The Most Dangerous Game.” He struggled up to the surface and tried to cry out, but the wash from the speeding yacht slapped him in the face and the salt water in his open mouth made him gag and strangle. Desperately he struck out with strong strokes after the receding lights of the yacht, but he stopped before he had swum fifty feet. A certain cool-headedness had come to him; it was not the first time he had been in a tight place. There was a chance that his cries could be heard by someone aboard the yacht, but that chance was slender, and grew more slender as the yacht raced on. He wrestled himself out of his clothes, and shouted with all his power. The lights of the yacht became faint and ever-vanishing fireflies; then they were blotted out entirely by the night. Rainsford remembered the shots. They had come from the right, and doggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength. For a seemingly endless time he fought the sea. He began to count his strokes; he could do possibly a hundred more and then— What details from the narration show that Rainsford is a rational individual who does well in moments of danger? Check all that apply. 1) He struggled up to the surface and tried to cry out 2) Desperately he struck out with strong strokes after the receding lights of the yacht 3) A certain cool-headedness had come to him; 4) There was a chance that his cries could be heard by someone aboard the yacht 5)[D]oggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength.


C) A certain cool-headedness had come to him

E) [D]oggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength

Both of these sentences show that Rainsford can easily handle stress. The first sentence says that he was overcome by “cool-headedness”. In the second stanza the speaker uses words like “doggedly, slow, deliberate and conserving his strength.” In all of these instances Rainsford was in danger,; however, he was able to keep calm and think clearly about what he should do next.

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What is the conflict in the passage? Jason’s Book Jason stood in the bookstore. On the shelf was his favorite author’s latest book. Jason had been waiting for this book for a long time. He checked his pockets. He had just enough money to buy the book. But Jason was also invited to his friend Percy’s birthday party this weekend. Percy and Jason had been friends for five years, ever since the second grade. Jason couldn’t possibly turn up at Percy’s party without a gift. Percy wanted a new Superman action figure, and Jason had been saving up for that. He would feel terrible if he disappointed Percy. But he also wanted the book. Jason didn’t know what to do.



What is the conflict in the passage? Jason’s Book Jason stood in the bookstore. On the shelf was his favorite author’s latest book. Jason had been waiting for this book for a long time. He checked his pockets. He had just enough money to buy the book. But Jason was also invited to his friend Percy’s birthday party this weekend. Percy and Jason had been friends for five years, ever since the second grade. Jason couldn’t possibly turn up at Percy’s party without a gift. Percy wanted a new Superman action figure, and Jason had been saving up for that. He would feel terrible if he disappointed Percy. But he also wanted the book. Jason didn’t know what to do.

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I am only happy if I have completed a task as well as I possibly can.

1. ANSWER: C. Test approved by the president of the United States.

As the name itself implies, the Presidential Fitness Test is a physical exam approved by the president of the United States himself. The president has approved five basic tests to ensure the well-being of the students. The fitness test includes curl-ups (full or partial), endurance run (or walk), shuttle run, pull-ups, and V-sit.

2. ANSWER: G. The ability of muscles to perform work over time.

Muscular endurance, as the name itself implies (again), is a set of exercises that aim to strengthen or improve the endurance of the muscles. Endurance is one’s power to tolerate or bear increasingly difficult situations without giving away. Thus, these kinds of exercises help improve the muscles to perform work over time.

3. ANSWER: H. The capacity of muscles to generate amounts of force in a short period.

Strength is the ability to perform and exert huge amounts of effort. Thus, muscular strength would refer to the muscle’s ability to generate a lot of force in a short period of time, exactly as option H describes it. Exercises that would improve muscular strength include cycling, weight lifting, push-ups, and other similar activities.

4. ANSWER: J. The ability of the heart and lungs to be active over a long period of time.

Like muscular endurance, cardiovascular endurance refers to the ability of our body to tolerate strong physical conditions; however this time certain focus is given to the cardiovascular component of our body.

Cardio in the term “cardiovascular” refers to the respiratory system thus this would be about improving the lungs. Vascular, on the other hand, refers to that of the vessels which is connected to the heart.

5. ANSWER: B. The elasticity of muscle groups.

Flexibility, as you may already know, is our body’s ability to be stretched. Flexibility is also defined as being able to be bent easily without breaking. Thus, among all the options, choice B would closely resemble this definition, as elasticity is also related to the stretchiness of components and is a close synonym for flexibility.

6. ANSWER: I. The body’s ability to do several different tasks at one time.

Coordination, as often defined in team activities, is the ability of each member to perform in perfect sync with each other. Similar to the components in our body, coordination is also all about our body’s capability to do several different things at once. It is with coordination can our body multi-task while being in harmony.

7. ANSWER: D. Measures muscular endurance.

Curl-ups is an ideal exercise to measure muscular endurance. In curl ups, you lie down flat on your back and you repeatedly raise your upper body by bending your muscles in the abdomen. This exercise will be tedious for the muscles; thus, being able to withstand this exercise for a long time will prove one’s muscular endurance.

8. ANSWER: E. Measures muscular strength.

Push-ups, on the other hand, is designed to test one’s muscular strength. In push-ups, the only thing supporting your body is your arm and feet. You then need to consecutively lower and raise your entire body using only the arms. Doing this makes the muscles exert huge amounts of force in a short time, thus measuring the muscles’ strength.

9. ANSWER: A. Test used to measure flexibility.

The sit and reach test, as the name implies, is an exercise where you sit with your legs straight and you aim to reach the farthest area in front of you using your arms. This exercise is done to measure your flexibility, since you need to bend over as much as you can in order to reach an area farther in front of you.

10. ANSWER: F. Measures coordination.

Shuttle run is an excellent training for sports because it develops a lot of aspects in one’s body. This exercise involves intense running via three marks, wherein one needs to touch the first mark every time s/he passes it. Because running and presence of mind is involved to determine when to touch the mark, this effectively measures our coordination.

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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.

Now,

127equiv7mod n

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

127=nk+7

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,

127=21cdot6+1iff127equiv1equiv7mod6

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