Assume a list of measurements (x), recorded at different times (t). Since the measurements may grow over time or may have been recorded at a high-frequency, we would like to 'downsample' (or 'compress'/'aggregate') the data, that is, reducing the frequency of the original signal. One way to do so is to assume a fixed 'window' of time, and aggregate the data recorded within that window.
Example: Given x = [1., 2., 3., 4.], t = [10, 11, 14, 15] and a window size of 2, we may want to get the average of the signal within that period of time. – downsampled_t = [10, 14] - downsampled_x = [1.5, 3.5] # 1.5 = (1+2)/2; 3.5 = (3+4)/2
Q1 - Downsampler class
Write a class Downsampler with methods to: * i) downsample a signal; * ii) iterate through the compressed signal; * iii) get the downsampled value(s) at a given time
Assumptions: - x is a list of floating numbers. - t is a list of integers (e.g 'Unix time' - Wikipedia) - You can assume the mean, max, min and number of data points of the signal within a time window are the quantities of interest.
Example:
# Define class
downsampler = Downsample(window_size=2)
# Define signal
>>> x = [1., 2., 3., 4.]; t = [10, 11, 14, 15]
# Downsample
>>> downsampler.downsample(t, x)
# Get downsampled values
>>> results = downsampler[10.5]
>>> print(results)
(10: {'mean': 1.5, 'max': 2, 'min': 1, 'n_points': 2})
# Iterate through the compressed signal
>>> for ds_t, ds_x in downsampler:
... print(ds_t, ds_x)
10, {'mean': 1.5, 'max': 2, 'min': 1, 'n_points': 2}
14, {'mean': 3.5, 'max': 4, 'min': 3, 'n_points': 2}
Notes: - Your implementation should not use any data processing library (for instance - pandas). - Libraries used for array manipulation are accepted (for instance - numpy). - Your implementation may differ from the example below, which is given for illustration purposes.

Answers

Answer 1

The Downsampler class is a Python class that allows for downsampling or compressing a signal, reducing its frequency by aggregating data recorded within a fixed window of time.

The class has methods to downsample a signal, iterate through the compressed signal, and get the downsampled value(s) at a given time. The class assumes that the mean, max, min, and number of data points of the signal within a time window are the quantities of interest. The implementation of the Downsampler class should not use any data processing library, but array manipulation libraries such as numpy are accepted.

To use the Downsampler class, the user first defines an instance of the class, specifying the window size. Then, the user can downsample a given signal by calling the downsample method with the time and signal arrays as arguments. The user can then get the downsampled values at a specific time by indexing the downsampler object with that time. Additionally, the user can iterate through the compressed signal using a for loop. The results of the downsample method and indexing the downsampler object return a dictionary with the mean, max, min, and number of data points of the signal within the time window. Overall, the Downsampler class provides a useful tool for downsampling signals and reducing their frequency while retaining relevant information.

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Related Questions

A testing lab wishes to test two experimental brans of outdoor pain long each wiil last befor fading . The testing lab makes six gallon s of each paint to test. The resultare Shown to see how

Answers

Answer:

The answer is "\(\bold{Brand \ A \ (35, 350, 18.7) \ \ Brand \ B \ (35, 50, 7.07)}\)"

Explanation:

Calculating the mean for brand A:

\(\to \bar{X_{A}}=\frac{10+60+50+30+40+20}{6} =\frac{210}{6}=35\)

Calculating the Variance for brand A:

\(\sigma_{A}^{2}=\frac{\left ( 10-35 \right )^{2}+\left ( 60-35 \right )^{2}+\left ( 50-35 \right )^{2}+\left ( 30-35 \right )^{2}+\left ( 40-35 \right )^{2}+\left ( 20-35 \right )^{2}}{5} \\\\\)

     \(=\frac{\left ( -25 \right )^{2}+\left ( 25 \right )^{2}+\left ( 15\right )^{2}+\left ( -5 \right )^{2}+\left ( 5 \right )^{2}+\left ( 15 \right )^{2}}{5} \\\\ =\frac{625+ 625+225+25+25+225}{5} \\\\ =\frac{1750}{50}\\\\=350\)

Calculating the Standard deviation:

\(\sigma _{A}=\sqrt{\sigma _{A}^{2}}=18.7\)

Calculating the Mean for brand B:

\(\bar{X_{B}}=\frac{35+45+30+35+40+25}{6}=\frac{210}{6}=35\)

Calculating the Variance for brand B:

\(\sigma_{B} ^{2}=\frac{\left ( 35-35 \right )^{2}+\left ( 45-35 \right )^{2}+\left ( 30-35 \right )^{2}+\left ( 35-35 \right )^{2}+\left ( 40-35 \right )^{2}+\left ( 25-35 \right )^{2}}{5}\)

    \(=\frac{\left ( 0 \right )^{2}+\left ( 10 \right )^{2}+\left ( -5 \right )^{2}+\left (0 \right )^{2}+\left ( 5 \right )^{2}+\left ( -10 \right )^{2}}{5}\\\\=\frac{0+100+25+0+25+100}{5}\\\\=\frac{100+25+25+100}{5}\\\\=\frac{250}{5}\\\\=50\)

 Calculating the Standard deviation:  

\(\sigma _{B}=\sqrt{\sigma _{B}^{2}}=7.07\)

How did tribes profit most from cattle drives that passed through their land?
A.
by successfully collecting taxes from every drover who used their lands
B.
by buying cattle from ranchers to keep for themselves
C.
by selling cattle that would be taken to Texas ranches
D.
by leasing grazing land to ranchers and drovers from Texas

Answers

The way that the tribes profit most from cattle drives that passed through their land is option D. By leasing grazing land to ranchers and drovers from Texas.

How did Native Americans gain from the long cattle drives?

When Oklahoma became a state in 1907, the reservation system there was essentially abolished. In Indian Territory, cattle were and are the dominant economic driver.

Tolls on moving livestock, exporting their own animals, and leasing their territory for grazing were all sources of income for the tribes.

There were several cattle drives between 1867 and 1893. Cattle drives were conducted to supply the demand for beef in the east and to provide the cattlemen with a means of livelihood after the Civil War when the great cities in the northeast lacked livestock.

Lastly, Abolishing Cattle Drives: Soon after the Civil War, it began, and after the railroads reached Texas, it came to an end.

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what command can be used to see what actual time servers are being used for synchronization?

Answers

To see the actual time servers used for synchronization, use the command `ntpq -p`. This command displays a list of time servers along with their status.

To elaborate further:

1. Open a terminal or command prompt on your computer.
2. Type the command `ntpq -p` and press Enter.
3. The output will display a list of time servers being used for synchronization.

The list includes columns such as remote (the server address), refid (reference identifier), st (stratum), t (type), when (time since last received), poll (polling interval), reach (reachability), delay (network round-trip time), offset (time offset), and jitter (estimated error).

The command `ntpq -p` queries the Network Time Protocol daemon (NTPD) running on your system for the list of configured time servers, their current status, and synchronization details. By examining this information, you can assess the accuracy and reliability of your system's time synchronization.

Please note that this command works for Unix-like operating systems, including Linux and macOS. If you are using Windows, you can use the command `w32tm /query /peers` to achieve a similar result.

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Regarding the numbers used for keys..
A. at least one is not prime B. all are prime numbers C.none are prime

Answers

Answer:

A at least one is not prime

Explanation:

i just took the test on edge got it correct

Answer:

at lease one is not prime

Explanation:

got it right on edge thanks to person above me!

What icon indicated video mode?
Av
Tv
The video camera icon

Answers

The video camera icon indicated video mode.

The video camera icon is a universally recognized symbol that indicates video mode on electronic devices such as cameras, smartphones, and video recorders. This icon usually appears on the interface of the device, usually on the screen or as a button that you can press, when you are in video mode, and it allows you to record videos.

AV and TV icons are related to audio-video and television, but they are not used specifically to indicate video mode. AV icon can be used for different purposes such as indicating the audio-video input/output of a device or indicating an audio-video format. The TV icon is used to indicate the television mode, which typically refers to the display mode of a device.

6. Before cleaning your electronics, you should turn off the power to the device.
True
False

Answers

Answer:

True

Explanation:

If you leave the device on while cleaning, you risk electrocution.

Answer:

true to prevent damage or a nasty shock, you need to turn off power to your machine. For computers, you should power down and then unplug the device. You'll also want to unplug the individual monitors. Unplug laptops and remove their batteries if your model allows for this to be done. Explanation:

Which printing option results in a word document with images of the slides and an area to take notes

Answers

Answer:

handout is the correct answer

Explanation:

on edge

Answer:

It's C - Handout

on edge 2021

Explanation:

Question #4
Multiple Choice
MEZEA
Which is immutable?
O dataset
O tuple
O deque
O list

Answers

Answer:

tuple

Explanation:

the inner machinations of my mind ar- hey wait i´m not Patrick

what is an object in java? an object is a template for how to make new programs in java. an object is something that contains both state and behavior. an object is a sing

Answers

A Java object is a member also called an instance of a Java class. Each object has an identity, behavior, and state.

Moreover, The state of an object is stored in fields (variables), while methods (functions) display the behavior of the object. Objects are created at runtime from templates, which are also known as classes. In Java, an object is created from a class. We've already created a class called Main , so now we can use it to create objects.

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what are the parts of a file?​

Answers

Answer:

A computer file is made up of three elements: characters, fields and records.

Explanation:

Hope this helps! :D

advantages: provides data related to performance and practices disadvantages: data may be inaccurate, incomplete, or not fully reflective of performance
a. Historical
b. Data
c. Review

Answers

The statement highlights the advantages and disadvantages of using data related to performance and practices.

What are the advantages and disadvantages of using data related to performance and practices?

The advantages include the provision of valuable insights and information regarding past performance and practices.

This historical data can aid in decision-making and identifying areas for improvement. However, there are also disadvantages to consider.

The data may be inaccurate, incomplete, or not fully reflective of current performance or practices, leading to potential misinterpretations or flawed conclusions.

It is important to carefully review and validate the data to ensure its reliability and relevance before drawing conclusions or making decisions based on it.

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Which type of computer serves as the heart of the computing systems for many, perhaps most, major corporations and government agencies

Answers

Answer:

Mainframes

Explanation:

Mainframes are utilized by many major corporations and government agencies. They are also used in banking, accounting, and healthcare to name a few.

Q2-2) Answer the following two questions for the code given below: public class Square { public static void Main() { int num; string inputString: Console.WriteLine("Enter an integer"); inputString = C

Answers

The code given below is a basic C# program. This program takes an input integer from the user and computes its square. The program then outputs the result. There are two questions we need to answer about this program.

Question 1: What is the purpose of the program?The purpose of the program is to take an input integer from the user, compute its square, and output the result.

Question 2: What is the output of the program for the input 5?To find the output of the program for the input 5, we need to run the program and enter the input value. When we do this, the program computes the square of the input value and outputs the result. Here is what the output looks like:Enter an integer5The square of 5 is 25Therefore, the output of the program for the input 5 is "The square of 5 is 25".The code is given below:public class Square {public static void Main() {int num;string inputString;Console.WriteLine("Enter an integer");inputString = Console.ReadLine();num = Int32.Parse(inputString);Console.WriteLine("The square of " + num + " is " + (num * num));}}

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JAVA

Write a program to display the given pattern:
3
5 6
8 9 10
12 13 14 15​

Answers

Answer:

class Main {  

 public static void main(String args[]) {

   int nr = 1;

   int value = 3;

   while(value < 16) {

      for(int i=0; i<nr; i++) {

          System.out.printf("%d ",value++);

      }

      System.out.println();

      value++;

      nr++;

   }

 }

}

Explanation:

This is one of the many approaches...

give me a fun game to play like mine craft

Answers

Answer:

blockman go is similar to mine craft .

it is online and very fun to play also

Answer:

call of duty

Explanation:

A _____ row is added to the query design grid when the totals button is clicked.

Answers

A total row is added to the query design grid when the totals button is clicked.

What is query design in MS Access?

A query is known to be one that can be either a form of a request for data results obtained from a given  database or for work or function on the data, or for both.

Note that a query can be a tool that helps to give you a result to a simple question, carry out  calculations, join  data from a lot of tables, add, alter , or delete data from a database.

Therefore, A total row is added to the query design grid when the totals button is clicked.

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According to Albert Einstein, our very existence is inextricably linked to bees - he is reputed to have said: "If the bee disappears off the surface of the globe, then man would only have four years of life left."
a.
Humans only have 4 years left to live.
c.
Human existence is dependent on bees.
b.
Bees are dependent on human existence
d.
None of the above

Answers

i’m pretty sure it’s c because they r the most important pollinator of crops
C (useless words here)

Alison is having a hard time at work because her inbox is flooded with emails every day. some of these emails are unsolicited. some of the others she doesn’t need. which action should she take to better manage her emails? she should move the unsolicited emails to the folder. she should move the emails she doesn’t need to the folder.

Answers

Based on illustration about Alison above, she should move the emails she doesn’t need to the folder.

How to manage email to be effective Use the filter system

The email inbox is often full of messages from various shipping categories. Starting from promotional emails, email updates, job emails, and more. If all of these messages are together in one folder in the inbox, it will be very annoying when you are waiting for an important email, because it could be mixed with other emails until it finally sinks and you don't see the message at the top.

Organize your inbox into folders

Given the large number of incoming emails in your inbox, creating system folders can help you manage your existing inboxes. You can categorize this folder based on how important the email is to you.

Create e-mail labels

Apart from creating filters, another thing you can use to manage your emails is to create labels for them. You can create labels that can store your emails. Add as many labels as you need. Note that this label is different from the folder. When you delete a message on a label, that message is deleted from any labels associated with it. Within this label, you can create sub-labels to categorize messages in more detail.

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Mention 2 precautionary
measures to be observed
when using ICT tools​

Answers

Answer:

ICT is the abbreviated form of Information and Communication. It included different technologies like mobile phones, computers, USBs etc.

Following are two precautionary measures which should be observed when using any kind of ICT:

Use of Antivirus: It can used to protect anything placed inside the technology especially from hacking and viruses which can create many issues.Backup Data: Creating a backup of the data stored in the device is important as it can be recalled when the device malfunctions. Backup of the data can be created through using USBs, CDs etc or through cloud storage

Logical are functions used when looking for an entry or value in the spreadsheet. what is it?

Answers

The Logical function would allow you to use the spreadsheets to identify whether a scenario is True/False.  It can choose among two options depending on the outcomes of that test, and the further discussion can be defined as follows:

These selections could be used to show information, do complex calculations, or run additional tests.It offers decision-making tools for spreadsheet information. It allows to let you examine the contents of a cell or do a computation, and afterward compare the output to a specified number or value.

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When you touch a warm picnic table , your hand becomes warmer. Explain how energy conservation applies to this situation

Answers

When you contact a warm picnic table, this transfer occurs because your hand has a lower surface temperature than the table, which allows the heat to pass from the table to your hand. You can see how this procedure conserves energy.

Why should we conserve energy?

Energy conservation is essential for limiting climate change. It helps to replace non-renewable resources with renewable energy. When there are energy shortages, energy saving is frequently more cost-effective and environmentally friendly than increasing energy output.

What kind of energy is that?

There are numerous shapes that energy can take. Examples of these energies include gravitational energy, mechanical energy, electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, and so on.

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PLEASE HELP! :)
A 2018 survey of South African households found that only 10.4% of households have Internet access and
21.5% have a computer.
Which of these would be the least effective way to reduce the digital divide across households?
Choose 1 answer:
A
Providing free subscriptions to an online video courses about digital literacy
B
Partnering with an Internet Service Provider to offer discounted rates for Internet access
C
Setting up Internet infrastructure in highly populated areas
D
Donating refurbished laptops to low-income families

Answers

Answer:

A

Providing free subscriptions to an online video courses about digital literacy

Explanation:

Internet access would be needed to access the courses because they are online. It would only help those who already have Internet access.

clients can select their own operating systems, development environments, underlying applications like databases, or other software packages (i.e., clients, and not cloud vendors, get to pick the platform), while the cloud firm usually manages the infrastructure (providing hardware and networking)
Infrastructure as a Service (IaaS)

Answers

You are correct. Infrastructure as a Service (IaaS) is a cloud computing model.

What is Infrastructure as a Service (IaaS)?

Infrastructure as a Service (IaaS) is a cloud computing model in which clients have the flexibility to select their own operating systems, development environments, and other software packages, while the cloud provider manages the underlying infrastructure, such as hardware, networking, and storage.

In this model, the client is responsible for deploying and managing their own applications and services, but the cloud provider takes care of the underlying infrastructure, including the physical servers, storage systems, and network devices.

This allows clients to have more control over their computing environment, while benefiting from the scalability, reliability, and security of the cloud provider's infrastructure.

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Merge Sort works by recursively breaking lists into two smaller sub-lists. When does the Merge Sort method stop partitioning and start returning?

Answers

Merge Sort method stops partitioning and starts returning when the list is split into one or zero elements. In other words, when there are no more elements left to partition the sub-lists any further, the Merge Sort method will return.

The sub-lists are divided again and again into halves until the list cannot be divided further. Then we combine the pair of one element lists into two-element lists, sorting them in the process.

The sorted two-element pairs is merged into the four-element lists, and so on until we get the sorted list.Merging is the next step in the sorting process.

The merging process puts the split lists back together into a single list, which is now ordered. As a result, the sorted sub-lists can now be merged into a single sorted list with more than 100 elements.

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Another term for the plot structure of the hero journey

Answers

monomyth: In narratology and comparative mythology, the hero's journey, or the monomyth, is the common template of stories that involve a hero who goes on an adventure, is victorious in a decisive crisis, and comes home changed or transformed.

Designer roles and responsibilities, programmer roles and responsibilities, and artist roles and responsibilities. Cite specific details from the game that lead you to believe these game attributes required a particular type of specialist.

Answers

According to the roles and the responsibility are the based on the  type of specialist game are the emulator, level editor, scripting tool.

What is game?

The term game refers to based on the enjoyment and the learning purposes. The game are the based on the graphic sand the mind strategies based.

A game tool is a collection of specialized software tools used by game designers (programmers) to create and develop games. The game designer create the strategies of the performing the game.

As a result, the game artist is the work on the game design.

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codehs python 4.7.6 Powers of Two
it says I'm wrong because I need

codehs python 4.7.6 Powers of Two it says I'm wrong because I need
codehs python 4.7.6 Powers of Two it says I'm wrong because I need

Answers

\(\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}\)

\(\huge\underline\mathtt\colorbox{cyan}{in attachment}\)

codehs python 4.7.6 Powers of Two it says I'm wrong because I need

Following are the program to calculate the power of two:

Program Explanation:

Defining an integer variable "i" that hold an integer value.Defining a for loop that checks "i" value in between 20, inside this it calculates power of two.At the last use print method to print its value.

Program:

i=1#holding integer value in i

for i in range(20):#defining a for that starts 1 to 20    

   i = 2 ** i#calculate power of 2 in i variable

   print(i)#print value

Output:

Please find the attached file.  

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codehs python 4.7.6 Powers of Two it says I'm wrong because I need

Under unity of command, each worker is to report to only boss.
a. True
b. False

Answers

Option a is Correct. True. For each individual employee, there should be just one manager, claims Fayol. The concept of unity of command is broken if a worker receives commands from two supervisors at once.

According to the unity of command concept, a person should only report to one immediate supervisor. In order to implement this idea, project managers must create organizational structures. When orders and instructions are transmitted down, it avoids repetition and disagreement.

According to the principle of unity of command, a subordinate should only report to and take orders from one superior. By doing this, it is ensured that each employee has a single supervisor who they must answer to. It is clear who should be reported in this situation.

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Machine learning systems analyze patterns in data to improve their performance automatically.
True
False

Answers

Note It is TRUE to state that Machine learning systems analyze patterns in data to improve their performance automatically.

What is a Machine learning System?

Machine learning is a branch of artificial intelligence that is widely described as a machine's capacity to mimic intelligent human behavior. Artificial intelligence systems are used to do complicated tasks in a manner comparable to how people solve issues.

There are three forms of machine learning: supervised, unsupervised, and reinforcement learning.

Machine learning is used in search engines, email filters to filter out spam, websites to create personalized recommendations, banking software to detect anomalous transactions, and many apps on mobile phones, such as voice recognition.

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Practice using file IO to encrypt and decrypt messages using the Caesar Cipher in the C Language

Answers

To encrypt and decrypt messages using the Caesar Cipher in C with file IO, follow these steps: Define the cipher, create, write, read, encrypt, and decrypt the message, and write the results to new files.

To practice using file IO to encrypt and decrypt messages using the Caesar Cipher in the C Language, you can follow these

Define the Caesar CipherThe Caesar Cipher is a simple substitution cipher that shifts letters by a certain number of places. For example, if the shift is 3, then the letter "A" becomes "D", "B" becomes "E", and so on. To define the Caesar Cipher in C, you can use a function that takes a character and a shift value as arguments and returns the shifted character.

For example, the following function takes a character and a shift value and returns the shifted character:```char caesar(char ch, int shift){ if (isalpha(ch)){ char base = isupper(ch) ? 'A' : 'a'; return (ch - base + shift) % 26 + base;} else { return ch; }}```

Create a file to store the messageTo store the message, you can create a file using the fopen() function. For example, the following code creates a file named "message.txt" for writing:```FILE* file = fopen("message.txt", "w");```

Write the message to the fileTo write the message to the file, you can use the fputs() function. For example, the following code writes the message "HELLO WORLD" to the file:```fputs("HELLO WORLD", file);```

Read the message from the fileTo read the message from the file, you can use the fgets() function. For example, the following code reads the message from the file:```char message[100];fgets(message, 100, file);```

Encrypt the messageTo encrypt the message, you can use the caesar() function to shift each letter by a certain number of places. For example, the following code encrypts the message using a shift of 3:```for (int i = 0; message[i] != '\0'; i++){ message[i] = caesar(message[i], 3); }}```

Write the encrypted message to a new fileTo write the encrypted message to a new file, you can create a new file using the fopen() function and write the encrypted message to the file using the fputs() function. For example, the following code creates a file named "encrypted.txt" for writing and writes the encrypted message to the file:```FILE* file = fopen("encrypted.txt", "w");fputs(message, file);```

Read the encrypted message from the fileTo read the encrypted message from the file, you can use the fgets() function. For example, the following code reads the encrypted message from the file:```char encrypted[100];fgets(encrypted, 100, file);```

Decrypt the messageTo decrypt the message, you can use the caesar() function to shift each letter back by a certain number of places. For example, the following code decrypts the message using a shift of 3:```for (int i = 0; encrypted[i] != '\0'; i++){ encrypted[i] = caesar(encrypted[i], -3); }}```9. Write the decrypted message to a new file.

To write the decrypted message to a new file, you can create a new file using the fopen() function and write the decrypted message to the file using the fputs() function. For example, the following code creates a file named "decrypted.txt" for writing and writes the decrypted message to the file:```FILE* file = fopen("decrypted.txt", "w");fputs(encrypted, file);```

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Other Questions
For f(x)=3x2 +x2,find: {x: f(x)=0} In Old Ironsides, what literary devices does the line below suggestHer deck, once red with heroes bloodA) personification B) imagery C) metaphor D) all of the above 3. What division equation is related tothe multiplication equation4 X 6 = 24? a relaxed student rolls a fair, 6-sided die in the morning. if he rolls a 1, then he does his laundry immediately (with zero days of delay). otherwise, he delays for one day and repeats the experiment the following morning. let r be the number of days a relaxed student delays laundry. what is ex(r) Frederick Douglass had an immeasurable impact on the abolition movementdue to his:A. serving in the government.OB. freeing enslaved people.OC. leading protests.D. writing and speaking about it. A 2.0 kg block rests on a level surface. The coefficient of static friction is s = 0.50, and the coefficient of kinetic friction is k = 0.30. A horizontal force, F, is applied to the block. As F is increased, the block begins moving. Find the minimum force, F, required for the block to just start to move. Find the force, F, required for the block to continue to move at a constant velocity. Explain what happens to the motion of the block if a force is applied greater than those found above. Look at the highlighted question from the chapter exercise. Is this question declarative or procedural? The concentration of an unknown weak acid solution is 0. 20m, and the solution has a ph of 3. 89. What is ka for this weak acid?. What does the phrase, "swapping horses in the middle of the stream," mean, and who said it? (1 point) What is the exchange of genes betweenhomologous chromosomes called?A Crossing overB. Independent assortmentC. Criss-CrossingD. Meiosis ANSWER PLEASE 15 POINTS!!!!!Point D is the center of the given circle. What is the measure of Ac?A. 4848B. 96BoC. 84D. 24 1. A scoop of ice cream has a 3-inch diameter. How tall should the ice cream cone of the same diameter be in order to contain all of the ice cream inside the cone? 2. Calculate the volume of the following shapes with the given information. For the first three questions, give each answer both in terms of and by using 3.14 to approximate . Make sure to include units.a. Sphere with a diameter of 6 inchesb. Cylinder with a height of 6 inches and a diameter of 6 inchesc. Cone with a height of 6 inches and a radius of 3 inches d. How are these three volumes related? EconomicsGiven the passage below (5 Marks)"University education should be provided free of charge. Every country needs a constant supply of people capable of fulfilling important jobs like doctors, engineers, and teachers, and so the country as a whole should meet the cost of training them. "Find the intermediate conclusions in this passage. Explain why you think they are the intermediate conclusions. What is authoritarian type? The authors expect the more transactional cultures to provide the context for more effective organizational and individual performance. True False real estate2.If demand factors were about equal, what would be some other considerations determining your preference for developing and owning single-tenant industrial buildings or incubator-type buildings? Write an equation of the line with slope -5 that goes through the point (4, -7).Group of answer choicesy = -5x + 13y = 13x - 5y = -5x - 7y = -5x + 33 H5,42Homework Answered Due Today, 11:59 PM.A 5.60E1 g sample of water at 9.910E1 C is placed in a constant pressure calorimeter. Then, 2.40E1 g of zinc metal at 2.10E1 C isadded to the water and the temperature drops to 9.70E1 C. What is the specific heat capacity of the zinc metal measured in thisexperiment? At the trial of a contract dispute, the plaintiff has offered to testify to what she heard the defendant say in a private conversation between the two of them, which the plaintiff secretly recorded on an audiotape that she did not offer in evidence. Is the plaintiff's testimony admissible If three coins are tossed, what is the probability of getting head on two or less?Note: Write your answer as a decimal rounded to the nearest thousandth.