Assume that you are given both the preorder and postorder traversal of some binary tree t. Prove that this information, taken together, is not necessarily sufficient to reconstruct t uniquely, even if each value in t occurs only once

Answers

Answer 1

The information from both the preorder and postorder traversal of a binary tree T is not necessarily sufficient to reconstruct T uniquely, even if each value in T occurs only once.


1. Preorder traversal visits nodes in the order: root, left subtree, and right subtree.
2. Postorder traversal visits nodes in the order: left subtree, right subtree, and root.

Let's consider an example to show that the preorder and postorder traversals do not uniquely identify a binary tree:

Example:
Tree 1:
   A
  / \
 B   C

Preorder traversal: A, B, C
Postorder traversal: B, C, A

Tree 2:
   A
  / \
 C   B

Preorder traversal: A, C, B
Postorder traversal: C, B, A

In this example, we can see that the preorder and postorder traversals are not enough to distinguish between Tree 1 and Tree 2, even though each value occurs only once in each tree. This is because the information about the relationship between the left and right subtrees is lost during the traversals, making it impossible to uniquely reconstruct the original tree.

Based on the example, we can conclude that having both the preorder and postorder traversals of a binary tree is not sufficient to uniquely reconstruct the tree, even if each value occurs only once. Additional information, such as inorder traversal, would be needed to uniquely reconstruct the binary tree.

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Related Questions

A program is designed to output a subset of {1, 2, 3, 4, 5} randomly. What is the minimum number of times this program must be executed to guarantee that one subset is outputted twice

Answers

The total number of possible subsets of {1, 2, 3, 4, 5} is 2^5 = 32. Therefore, the minimum number of times the program must be executed to guarantee that one subset is outputted twice is 33 times. This is because on the 33rd execution, all possible subsets will have been outputted, and by the Pigeonhole Principle, at least one subset must have been outputted twice.

The Pigeonhole Principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item. In this case, there are 31 possible subsets, and if we output subsets randomly, there is no way to guarantee that any two subsets will be the same. Therefore, we need to output at least 32 subsets to guarantee that one subset is outputted twice. Therefore, the minimum number of times the program must be executed to guarantee that one subset is outputted twice is 33 times.

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Effective nonverbal communication can cause tension.

True or False

Answers

Explanation:

When your nonverbal signals match up with the words you're saying, they increase trust, clarity, and rapport. When they don't, they can generate tension, mistrust, and confusion.

Answer:

False

Explanation:

what are the answers for Quiz 7 answers computer science principles

Answers

Answer:

unknown

Explanation:

this sounds like it is very vague and could be confused with other tests, i do not know of any tests like this

another thing is you can ask each question, even though it would cost more points, it would be better in the long run, people with similar questions can find their answers easier, AND you can get the correct answer for each question with confidence

that and people are more willing to answer one question at a time then a whole quiz lol

not saying what you are doing is bad, its just impractical and not an easy way to go about this

hope you find the answers you need, have a great day/night mate :D

print 3 numbers before asking a user to input an integer

print 3 numbers before asking a user to input an integer

Answers

Answer:

you can use an array to do this

Explanation:

(I've written this in java - I think it should work out):

Scanner input = new Scanner(System.in);

System.out.println("Enter an integer: ");

int userInt = input.nextInt();

int[] array = new int[userInt - 1];

for(int i = userInt-1; i < userInt; i--)

     System.out.println(array[i]);

What are the benefits of transferable skills check all the boxes that apply

Answers

Answer:

They allow easy cross-company transfers.

They help a person develop self-esteem.

They open up a variety of employment options.

Explanation:

Answer:

Las habilidades duras son cuantificables y, en ocasiones, exclusivas de una profesión (como la capacidad de un idioma

Explanation:

given the task of finding words that share a common prefix with a given word, which data structure would have the optimal expected asymptotic runtime performance?

Answers

The data structure that would have the optimal expected asymptotic runtime performance is a sorted array. The correct option is b.

What is data structure?

An expertly designed format for arranging, processing, accessing, and storing data is called a data structure.

Data structures come in both simple and complex forms, all of which are made to organize data for a certain use. Users find it simple to access the data they need and use it appropriately thanks to data structures.

Therefore, the correct option is b. sorted array.

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The question is incomplete. Your most probably complete question is given below:

trie

sorted array

binary tree

hash set

Title the document Fuel Analysis. In this document, write a paragraph explaining your observations about the data you have entered and analyzed. Include any observations about when fuels are most expensive to purchase as well as when it is the least expensive to buy. Describe how you can use this information to help make your road trip budget.

Answers

Answer:

Fuel Analysis

Introduction:

In this document, we will analyze the data related to fuel prices and draw observations from the analysis. Our objective is to identify trends in fuel pricing and determine when fuels are most expensive and least expensive to purchase. By understanding these patterns, we can make informed decisions to help manage our road trip budget more effectively.

Observations:

Upon analyzing the data, we have observed certain patterns regarding fuel prices. Firstly, fuel prices tend to be higher during peak travel seasons and holidays when there is an increased demand for fuel. This surge in demand leads to higher prices due to limited supply. Additionally, fuel prices may also be affected by geopolitical factors, such as disruptions in oil production or natural disasters, which can cause temporary price fluctuations. It is important to consider these external factors when planning a road trip and budgeting for fuel expenses.

Furthermore, we have identified that fuel prices often exhibit regional variations. Prices may differ between urban and rural areas, as well as across different states or countries. Factors such as transportation costs, taxes, and regional supply and demand dynamics can influence these variations. It is advisable to research fuel prices along your planned route to anticipate potential cost fluctuations and make informed decisions.

Utilizing the Information:

The observations from this fuel analysis can be highly valuable in budgeting for a road trip. By understanding when fuels are most expensive to purchase, such as during peak travel seasons, we can plan our journey accordingly. This may involve adjusting the timing of our trip to avoid periods of high fuel prices or choosing routes that pass through areas with relatively lower fuel costs. Additionally, being aware of regional variations allows us to make strategic decisions, such as refueling in areas where fuel prices are comparatively lower.

To optimize our road trip budget, we can leverage various resources to stay informed about fuel prices. Online platforms, mobile applications, or even local gas stations can provide real-time information on fuel prices along our route. Additionally, joining loyalty programs or utilizing fuel price comparison websites can help us identify cost-effective options for refueling.

In conclusion, analyzing the data and observing fuel pricing trends enables us to make informed decisions and effectively manage our road trip budget. By considering factors such as peak travel seasons, regional variations, and external influences on fuel prices, we can plan our journey strategically and minimize fuel expenses. This proactive approach will ensure a more enjoyable and financially sound road trip experience.

Fuel Analysis

After analyzing the data on fuel prices, several observations can be made. Firstly, fuel prices tend to be more expensive during peak travel seasons, such as summer or holiday periods, and during times of high demand, such as during major events or natural disasters. Additionally, fuel prices tend to be higher in urban areas compared to rural areas due to higher demand and operating costs.

On the other hand, fuel prices are generally lower during the winter months when there is less demand for travel and during times of economic recession when demand for fuel decreases. Furthermore, fuel prices may be lower in areas where there is more competition among fuel providers.

Knowing when and where fuel prices are likely to be higher or lower can be helpful in planning a road trip budget. By researching fuel prices along your planned route and considering the time of year, you can estimate the amount of money you will need to spend on fuel and adjust your travel plans accordingly. Additionally, you may be able to save money by filling up at gas stations in areas with lower fuel prices or by using fuel rewards programs offered by some providers.

Does any one know how to code? If you do can you help me with my project?

Answers

Answer:

kinda look it up!!!

Explanation:

go to code.org free coding

i can help you man

-scav aka toby

Domain local groups are primarily used to hold global groups and provide access to domain resources. group of answer choices true false

Answers

True , Domain local groups are primarily used to hold global groups and provide access to domain resources.

What is Domain local groups ?

Domain local groups are Windows Server groups whose scope is limited to the specific domain in which they are defined. Domain local groups are used to deliver users with access to network help and to assign permissions to control access to these resources.

What can domain local groups contain?

Members from any domain may be counted to a domain local group. The domain's local scope can contain user accounts, universal groups, and global groups from any domain. In addition, the scope can both hold and be a member of domain local groups from the same domain.

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Which of these can aid readability for everyone, but especially for those with accessibility issues?

using all uppercase text
using all uppercase text

putting two spaces after a period
putting two spaces after a period

using red text to indicate bad choices and green text to indicate good choices
using red text to indicate bad choices and green text to indicate good choices

using whitespace to group related content
using whitespace to group related content

Answers

Using red text to indicate bad choices and green text to indicate good choices can aid readability for everyone, but especially for those with accessibility issues. The correct option is C.

What is readability?

A written text's readability refers to how simple it is for a reader to comprehend it.

The readability of text in natural language is influenced by both its presentation and substance.

The possibility that the reader will comprehend your thoughts and ideas clearly increases when you strive for excellent readability.

High readability helps to avoid misunderstandings and makes it simple for the reader to comprehend the information you've provided without wasting a lot of effort.

For everyone, but especially for individuals with accessibility challenges, using red text to indicate poor options and green text to indicate positive choices can help with readability.

Thus, the correct option is C.

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Giving away 100 points and first to answer gets brainliest!
also im getting a new pfp

Answers

Answer:

hey noice

Explanation:

thank you ily

What is Digital Health

Answers

Answer: Digital health technologies use computing platforms, connectivity, software, and sensors for health care and related uses. These technologies span a wide range of uses, from applications in general wellness to applications as a medical device. They include technologies intended for use as a medical product, in a medical product, as companion diagnostics, or as an adjunct to other medical products (devices, drugs, and biologics). They may also be used to develop or study medical products.

Why are abbreviations like BRB, TBH, and IDK appropriate in some situations but not in others?

Answers

Answer: Depends on which situation

Explanation: When you are talking casually to your friends or someone close to you, it’s appropriate to say those abbreviation. But when you are talking to someone professional or your teacher, you shouldn’t talk in those  abbreviations. You should not talk in those abbreviations to elderly because they may not understand it.

27.4.7 Contact Merge Python

Answers

Answer:

Explanation:

.

The lifetime of a new 6S hard-drive follows a Uniform
distribution over the range of [1.5, 3.0 years]. A 6S hard-drive
has been used for 2 years and is still working. What is the
probability that it i

Answers

The given hard-drive has been used for 2 years and is still working. We are to find the probability that it is still working after 2 years. Let A denote the event that the hard-drive lasts beyond 2 years. Then we can write the probability of A as follows:P(A) = P(the lifetime of the hard-drive exceeds 2 years).By definition of Uniform distribution, the probability density function of the lifetime of the hard-drive is given by:

f(x) = 1/(b - a) if a ≤ x ≤ b; 0 otherwise.where a = 1.5 years and b = 3.0 years are the minimum and maximum possible lifetimes of the hard-drive, respectively. Since the probability density function is uniform, the probability of the hard-lifetime of a new 6S hard-drive follows a Uniform distribution over the range of [1.5, 3.0 years]. We are to find the probability that a 6S hard-drive, which has been used for 2 years and is still working, will continue to work beyond 2 years.Let X denote the lifetime of the hard-drive in years.

Then X follows the Uniform distribution with a = 1.5 and b = 3.0. Thus, the probability density function of X is given by:f(x) = 1/(b - a) if a ≤ x ≤ b; 0 otherwise.Substituting the given values, we get:f(x) = 1/(3.0 - 1.5) = 1/1.5 if 1.5 ≤ x ≤ 3.0; 0 the integral is taken over the interval [2, 3] (since we want to find the probability that the hard-drive lasts beyond 2 years). Hence,P(A) = ∫f(x) dx = ∫1/1.5 dx = x/1.5 between the limits x = 2 and x = 3= [3/1.5] - [2/1.5] = 2/3Thus, the probability that a 6S hard-drive, which has been used for 2 years and is still working, will continue to work beyond 2 years is 2/3.

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what is a computer?write any four features of computer​

Answers

Answer:

A computer is defined as an electronic device for storing and processing data, typically in binary form, according to instructions given to it in a variable program.

Four features of a computer would be CPU, GPU, Memory, and Motherboard.

Explanation:

Computer is an electronic machine which accepts raw data from the user , process the data according to the predefined set of instructions, gives and stores the result or instructions....

Or

A computer is an electronic device that can perform several task according to the given instructions...

The four features of computer are :

Speed

Accuracy

Versatility

Diligence

Storage etc....

\(...\)

security measures are sometimes described as a combination of physical, technical, and administrative safeguards (pta). physical safeguards may include:

Answers

Physical safeguards may include anti-malware software, device data encryption, and communications encryption.

Physical safeguards are actions taken physically to guard against natural disasters, environmental dangers, unlawful entry, and other risks to a covered entity's electronic information systems, as well as the buildings and equipment they are connected to.

Workstation use, workstation security, and device and media controls are among the requirements for physical safeguards. Whether these systems are housed on the covered entity's premises or somewhere else, the Security Rule requires covered entities to implement physical safeguard criteria for them.

Although they are sometimes disregarded, physical security measures are a crucial component of PHI security for every covered institution. A covered entity's overall health data security plan might readily prioritize both technical and administrative measures. However, physical security measures are also essential and must be compatible with the other two federal regulations.

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Write a program that hardcodes a proposed password and checks that it is an acceptable password.
If the proposed password is acceptable password, the program writes a message "Password zzzzzzzzz is acceptable" and ends.
If it is not acceptable, it writes a message "Password is acceptable because it "
Where
is the password which was checked.
is one of:
"is not at least 7 characters long."
"does not contain both upper and lower case alphabetic characters."
"does not contain at least 1 digit."

is used if the PW is not acceptable, else the word not isn't printed.
"is an acceptable password."




Acceptable passwords:

are at least 7 characters long.
contain both upper and lower case alphabetic characters.
contain at least 1 digit.
The logic of this program can be quite tricky. Hint: use toUpperCase(), toLowerCase, and equals(). You will also need nested ifs.

Here some sample runs of the program; your output should look substantially the same:

C:\>java PasswordChecker
Enter your password:
snowflake
Password snowflake is not acceptable because it does not contain both upper and lower case alphabetic characters."

Enter your password:
SnowFlake

Answers

Using the knowledge in computational language in JAVA it is possible to write the code that write a program that hardcodes a proposed password and checks that it is an acceptable password.

Writting the code:

class InvalidPasswordException extends Exception {

 

   int passwordConditionViolated = 0;

 

   public InvalidPasswordException(int conditionViolated)

   {

       super("Invalid Password: ");

       passwordConditionViolated = conditionViolated;

   }

 

   public String printMessage()

   {

       switch (passwordConditionViolated) {

 

       case 1:

           return ("Password length should be"

                   + " between 8 to 15 characters");

 

       case 2:

           return ("Password should not"

                   + " contain any space");

 

       case 3:

           return ("Password should contain"

                   + " at least one digit(0-9)");

 

      case 4:

           return ("Password should contain at "

                   + "least one special character");

 

              case 5:

           return ("Password should contain at"

                   + " least one uppercase letter(A-Z)");

 

       case 6:

           return ("Password should contain at"

                   + " least one lowercase letter(a-z)");

       }

 

       return ("");

   }

}

 

 

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Write a program that hardcodes a proposed password and checks that it is an acceptable password.If the

an obstacle or barrier that may prevent you from accomplishing your goal is called

Answers

Answer:

a roadblock

Explanation:

A roadblock because it is

What is the relation between a string's length and the string's last index? O lastIndex length + 1 lastIndex == length + 2 lastIndex == length lastIndex == length - 1

Answers

The relation between a string's length and its last index is that the last index is equal to length - 1. Strings are indexed from 0.

In most programming languages, strings are typically indexed starting from 0. This means that the first character of a string is at index 0, the second character is at index 1, and so on. The last character of the string is at index length - 1.

The reason for this is that the length of a string represents the number of characters it contains. For example, if a string has a length of 5, it means that there are 5 characters in the string. However, since indexing starts from 0, the last character will be at index 4 (length - 1).

To access the last character of a string, you would use the index length - 1. This ensures that you are accessing the correct character at the end of the string. If you were to use an index equal to the length of the string or length + 1, it would be out of bounds and may result in an error.

Therefore, the correct relation between a string's length and its last index is lastIndex == length - 1.

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who plays oblox .............................

Answers

Answer:

Me

Explanation:

MEEEE!!! i love scary games

i think i have a virus on my computer what am i supposed to do

Answers

Answer:

call like a phone or computer company and ask wjat thry can do

Agents must submit the original documentation for enrollment within 24 hours after the application data has been entered into the agent portal.

Answers

Agents must submit the original documentation for enrollment within 24 hours after the application data has been entered into the agent portal is a true statement.

What is documentation?

This is known to be a kind of knowledge management and knowledge organization, and it is one that entails or that is done on paper, online, or  others.

Note that the purpose of documentation is so that one can be able to Describe the use, operation, maintenance as well as other kinds of processes.

Hence, Agents must submit the original documentation for enrollment within 24 hours after the application data has been entered into the agent portal is a true statement.

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A brown outline around a frame is an indication of which tool?​

Answers

Answer:

Direct Selection Tool

Explanation:

The Direct Selection tool is a tool that allows the selection of a single object or a single path such that an object already grouped with other objects can be directly and moved to a desired location

The Direct Selection tool can be used to select a container's content including graphics which are imported and specific points or paths of a figure or text to allow for drawing, text editing or to edit paths.

Trying to Determine the complexity find the O() value of this method. Could anyone help show me how to do this?

Determine complexity of this method
1 public static void isLeapYear(int year)
2 {
3 boolean is_leap_year = false;
4
5 if (year % 4 == 0) {
6 is_leap_year = true;
7 if (year % 100 == 0) {
8 if (year % 400 == 0)
9 is_leap_year = true;
10 else
11 is_leap_year = false;
12 }
13 }
14 else
15 is_leap_year = false;
16 if (!is_leap_year)
17 System.out.println(year + " : Non Leap-year");
18 else
19 System.out.println(year + " : Leap-year");
20 }

Answers

The given method for checking leap years has a constant time complexity of O(1) as it performs a series of conditional statements and assignments, regardless of the input year. It determines if the year is a leap year or not and outputs the result.

To determine the complexity of the given method for checking if a year is a leap year, we can analyze the number of operations performed based on the input year.

The method consists of a series of conditional statements and assignments. Let's break down the complexity step by step:

The first conditional statement `if (year % 4 == 0)` performs a modulo operation, which is considered a constant time operation.If the condition in the first statement is true, we move to the nested conditional statements. The second conditional statement `if (year % 100 == 0)` also performs a modulo operation, which is a constant time operation.If the condition in the second statement is true, we move to the third conditional statement `if (year % 400 == 0)`, which performs another modulo operation, again a constant time operation.Depending on the conditions, the value of `is_leap_year` is assigned either `true` or `false`. These assignments are constant time operations.

Overall, the complexity of the method is determined by the number of conditional statements and assignments, which are constant time operations.

Therefore, the time complexity of the given method can be approximated as O(1), indicating constant time complexity.

Note that this analysis assumes that the modulo operations and assignments are constant time operations. In practice, the actual time complexity may be influenced by the specific implementation details and the underlying hardware.

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What is programmer?​

Answers

a programmer is a person who scripts otherwise known as “coding”

Answer:

a programmer is a person who writes down computer programs

a programmer is a device that that controls the operation according to the instructions in the program

what will be the answer of this python question with explanation?
for a in range(1,8,1):
print(a,a*a)

Answers

Answer:

The Python range() function returns a sequence of numbers, in a given range. The most common use of it is to iterate sequence on a sequence of numbers using Python loops.

Explanation:

make me branliis list pls if you do then thx

how do i change the security settings on my computer

Answers

To change security settings on your computer, access the Control Panel, navigate to the desired security section, and customize the settings as needed.

To change the security settings on your computer, you can follow these general steps:

1. Open the Control Panel: Click on the "Start" menu, search for "Control Panel," and click on the corresponding result to open the Control Panel.

2. Navigate to the Security Settings: In the Control Panel, find and click on the "Security and Maintenance" or "System and Security" option. This will provide access to various security settings on your computer.

3. Customize Security Settings: Within the Security and Maintenance or System and Security section, you will find options such as "Windows Defender Firewall," "Windows Update," "User Account Control," and others. Click on the relevant option based on the security setting you want to change.

4. Adjust Security Settings: Depending on the specific security setting you selected, you will have various options to customize. For example, in Windows Defender Firewall, you can enable or disable the firewall, configure inbound and outbound rules, and manage program permissions. In User Account Control, you can adjust the level of notifications and permissions required for certain actions.

5. Save Changes: After customizing the security settings to your preference, make sure to save the changes by clicking on the appropriate button, such as "Apply" or "OK."

It's important to note that the steps may vary slightly depending on your specific version of Windows or operating system. Additionally, certain security settings may require administrative privileges, so ensure that you have the necessary permissions to make changes. Always exercise caution when modifying security settings and consult official documentation or reputable sources for guidance if you are unsure about specific settings.

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A que se refiere el texto cuando afirma que nadie puede decir" Jesus es el Señor! sino con el espiritu santo (1 corintios 12, 1-11​

Answers

Answer:  

creo que serefiere a que nadie puede desir que jesus es el senor si no cree en lo que el mismo dice es como mintiendo sobre ello

Explanation:

perdon si no es la respuesta no se esplicarlo muy bien

All of the following statements are true except one. Which one is FALSE?
A
Tab "leaders" are special tab stops that let you align text containing numbers.
B
You can remove a tab stop by dragging its marker outside the ruler and releasing the mouse button.
с
The Center tab centers the text that follows the tab character under the tab stop.
D
The Right tab aligns the end of the text that comes after the tab character under the tab stop.

Answers

Answer:

D.

Explanation:

The Right tab aligns the end of the text that comes after the tab character under the tab stop.

Other Questions
John is planning to take out a personal loan for $4,500 to buy a car. He would like to keep his monthly payments at or below $150. 00 and pay the loan off in three years. Which of the following is the greatest interest rate John can accept and still meet his criteria? a. 10. 75% compounded monthly b. 11. 50% compounded monthly c. 12. 25% compounded monthly d. 13. 00% compounded monthly. Select three ratios that are equivalent to 11:1.A(1:11B(22:2C(55:5D(9:99E(110:10 The speed limit on many roads in a town 13.5 m/s outside schools this is limit is often reduced by one third calculate the reduced speed limit Que tienes que hacer need help! To interpret in The Caged Bird, the reader must look at the context of the text rather than an individual word. professor jimenez believes that severe depression results primarily from an imbalanced diet and abnormal brain chemistry. professor jimenez favors a ________________ perspective on depression. Lets say that you are the Business Analytics Head at a national bank. From the historical data, you have determined that there is a 0.33 probability that a customer would default on a particular loan. What is the probability that out of the next two customers who apply for the same loan, both would not default on the loan? Is 1.5399818181... a rational number? PLEASE HELP NOW If YOU KNOW YOUR RIGHTWhat are the FOUR geographical regions of Honduras?interior highlandsMosquito Coastrain forestCoastal plainsPacific lowlandssemiarid desertsCaribbean lowlands V.Simplify the expression using the distributive property.14.3(2x - 5)Im Susan B. Anthony was the first woman to ethan worked as a salesperson for a pharmaceutical company. for the past year he missed every sales quota and stretch goal originally set at the beginning of the year. even though his boss worked with him and sent him to receive additional training, ethan improved only slightly. in addition, ethan was not a team player and often upset other employees. his boss has decided to let him go and is now considering what type of termination to use. which of the following describes a mutual-agreement termination? 1,000 par value bond XYZ has a modified duration of 6. According to the prediction by the duration rule, if the market yield increases by 1%, the bonds price will Selected Answer: decrease by 50 Answers: decrease by 60 increase by 50 decrease by 50 increase by 60 None of the above. Curley's wife fusses at Lennie causing him to grab tightly to her hair. Why does she raise her voice at first?O To get Curley to come runningO She fears he will mess up her hairO To make Slim jealousO She's afraid he'll tear her dress. help lolllllllllllllllllllllllllllllllllllllllllllll Long-term capital gains (LTCG) and losses (LTCL) are combined to determine the net long-term capital gain or loss for the year. A net capital loss is not deductible against ______ find the equation of the line y = c0 c1x coming closest to passing through the points (0, 1), (1, 2) and (2, 4), i.e., find the least squares line for these data points. The musician robert zimmerman is better known by what name? at 60 c , compound x has a vapor pressure of 96 mmhg , benzene (c6h6) has a vapor pressure of 395 mmhg , and a 50:50 mixture by mass of benzene and x has a vapor pressure of 263 mmhg . What is the molar mass of X? The bacteria found on your hand triple every 30 minutes. If you just washed your hands before going to bed and there are 2 bacterla present, how long until 250,000 will be present? (round to 3 decimal places (hours))