More Trouble with Toothpicks: Exploring Patterns 1. Explore the AREA of the stages of the pattern. a) Describe how the area changes from one stage to the next. b) Color the square(s) that were added at each stage. c) Use words to write a recursive relationship for the area. d) Use symbols to write a recursive relationship for the area. e) Use words to describe how to obtain the area of the n th stage. f) Use symbols to write a closed form for the area of the n th stage.

Answers

Answer 1

The paragraph discusses the changes in area, coloring of squares, recursive and closed form relationships for area, and methods to obtain the area of each stage in the toothpick pattern.

What does the paragraph discuss regarding the toothpick activity and exploring patterns in terms of area?

The given paragraph discusses an activity involving toothpicks where the objective is to explore the patterns and changes in the area of the stages in the pattern.

a) The area of the stages changes as additional squares are added at each stage, resulting in an increase in overall area.

b) The square(s) added at each stage can be colored to visually represent the changes in the pattern.

c) A recursive relationship for the area can be described using words, explaining how the area of a stage depends on the area of the previous stage.

d) A recursive relationship for the area can also be represented using symbols or mathematical notation, indicating the relationship between the area of the current stage and the area of the previous stage.

e) To obtain the area of the nth stage, a verbal description is provided, explaining the process or steps involved in calculating the area based on the stage number.

f) A closed form expression or formula for the area of the nth stage can be written using symbols, providing a mathematical equation that directly calculates the area without the need for recursive calculations.

Overall, the paragraph highlights the various aspects of exploring the area patterns in the toothpick activity, including observations, descriptions, and mathematical representations.

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Related Questions

Write a program that reads two times in military format (0900, 1730) and prints the number of hours and minutes between the two times.

Answers

In order to write a program in Python that reads two military formatted times (0900 and 1730) and then prints the number of hours and minutes between the two times, we can follow these steps.

Input the two times from the userStep 2: Extract the hour and minute values from each timeStep 3: Convert both times to minutes and store them in separate variablesStep 4: Calculate the absolute difference between the two times in minutesStep 5: Calculate the hours and minutes from the difference in minutesStep 6: Print the output in the required format (i.e. hours and minutes)Here is the Python code that implements the above steps:# Step 1: Input the two timesfrom_time = input("Enter the first military formatted time (HHMM): ")to_time = input("Enter the second military formatted time (HHMM): ")# Step 2: Extract the hour and minute\(valuesfrom_hour1 = int(from_time[:2])from_min1 = int(from_time[2:])to_hour2 = int(to_time[:2])to_min2 = int(to_time[2:])\)# Step 3: Convert both times to \(minutesfrom_min_total = (from_hour1 * 60) + from_min1to_min_total = (to_hour2 * 60) + to_min2\)#

Calculate the absolute difference between the two times in \(minutesdiff_min = abs(from_min_total - to_min_total)\)# Step 5: Calculate the hours and minutes from the difference in \(minuteshours = diff_min // 60minutes = diff_min % 60\)# Step 6: Print the output in the required format (i.e. hours and minutes)print("The difference between", from_time, "and", to_time, "is", hours, "hours and", minutes, "minutes.")Note: This program works correctly only if the second input time is greater than the first input time. Also, the input time values must be in the 24-hour format (HHMM).

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What is the most common knowledge computer programmers need in order
to write programs?
O A. The full history of the computer and its development
B. How to build computers from basic components
C. A high-level programming language, such as Swift or JavaScript
D. How a computer converts binary code into a programming
language

Answers

Answer:

C

Explanation:

The Answer you're looking for is:

C. A high-level programmings languages, such as Swift or JavaScript

Not necessary to read all of it you can skip this part.

10 skills you need for Computer Programing:

#1 Knowledge about programming languages:

Although it is not necessary for a programmer to know every programming language, at least they can learn two to three. These may in turn cause to increase their chances of more job opportunities

#2 Knowledge about Statistics and mathematics:

A programmer should also have a sound knowledge of statistics. They must excel in it so as to further increase their chances of future career opportunities. That also helps computer programmers to build skills.

A programmer must also be advanced in the field of maths to understand all the aspects of programming.

He must have knowledge of basic algebra, arithmetic, and other mathematical operations to make his base strong in programming.

#3 Inquisitiveness:

A programmer should also know how to deal with certain problems. They should also know how to find ways to overcome it in an efficient way

#4 Communication skills:

A programmer should also have a good hold of communication skills. This may lead to having good socialization with their peer members and create a stable bonding with them in order to work efficiently.

Sharing ideas with peer members may also help in finding the solutions in a shorter duration.

#5 Writing skills and Speaking skills

A programmer should also have better writing skills in order to succeed in his programming field. He must have a sound knowledge of all the expressions, symbols, signs, operators, etc.

This knowledge will help them languages in enhancing their skills and knowledge. A programmer should also have a sound knowledge of speaking skills and a high level of confidence.

#6 Determination and Dedication:

A programmer should also be determined towards his work. He must do his work efficiently with hard work and dedication throughout to get success in every field.

It is also important that he should be honest towards his work and do his job with perfection.

#7 Staying organized:

The programmer should also be organized in his work. He must organize every kind of complex work into simpler ones in order to complete it with ease and with higher efficiency.

#8 Paying attention to meager details:

The programmer should also keep in mind that while doing programs they must pay attention to small details. This will in turn ensure that the program runs well.

#9 Negotiation and persuasion skills:

A programmer should also be good at negotiation and persuasion skills in order to solve every problem with ease.

#10 Extra skills:

A programmer should also have extra skills like knowing about Microsoft Excel and creating websites and data.

Furthermore, he must also know how to handle large amounts of data to get better at programming. This will increase his chances of achieving better job opportunities in the future.

A programmer must also be better at critical thinking and logical reasoning to solve complex issues with ease and efficiency.

Proof Of Answer:

The image below hope this helped you.

What is the most common knowledge computer programmers need in orderto write programs?O A. The full history

What makes a computer more secure?.

Answers

a computer will be more secure if u use a vpn and have a password on everything

Explain why Austin takes close-up pictures of whales and displays them in life-size? worth 50 points

Answers

The reason why Austin takes close - up pictures of and displays them in life - size is due to the fact that  he wants to give viewers an indelible view or opinion of what a whale is.

It also to give whales a background to bring out unexplored thought and emotion in a lot of ways that has been yet to pursued .

What are Whales?

This is known to be Animals that are said to be mostly distributed and have a lot of group of aquatic placental marine mammals.

They are known to belong to an informal grouping as they belong to the order Cetartiodactyla.

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WILL GIVE BRAINLYEST You would like to implement the rule of thirds to present high-resolution images in an IT scrapbook. The scrapbook includes images of computer and other IT devices. How can you do this for the scrapbook?
You can implement the rule of thirds by placing the ____(Key, Larger, Smaller)
part of the image along ____ (Central, Intersecting, margin) the
lines.

Answers

Answer:

key              margin

Explanation:

kid rally have a explantions

In Asch’s study which of these lowered conformity rates

A.) having on person disagree


B.) having only two people in the group

C.) writing answers down instead of saying them

D.) all of these are correct

Answers

Answer:

D. all of these are correct

Explanation:

option d is correct answer

Write a Short note on Importance of being a good child​

Answers

Answer:

Being a good child is a good thing. It show's the type of person you are. Being a good child means you are most likely responsible with your actions. You are possibly also very kind to others. As a good child, you could also be a very accelerated student in class, gettings a lot of good grades. You might be looked upon by your peers.

Explanation:

Hope this is ok

Run a regression of Test scores (Testscr) on Teachers, Computers, percentage of English learners (el_pct), Average Income (avginc), and the percent qualifying for reduced-price lunch (meal_pct). a. If district avginc increases from $30,000$ to $40,000, how are test scores (Testscr) expected to change in the given school?

Answers

To estimate the expected change in test scores (Testscr) when the district average income (avginc) increases from $30,000 to $40,000, you would need the coefficient estimate for avginc from the regression model.

In a regression model, the coefficient estimate for avginc represents the expected change in test scores associated with a one-unit increase in average income, assuming all other variables are held constant.

So, if you have the coefficient estimate for avginc from the regression model, you can use it to calculate the expected change in test scores when avginc increases from $30,000 to $40,000.

For example, if the coefficient estimate for avginc is 0.05, it would mean that for every $1,000 increase in average income, test scores are expected to increase by 0.05 units (assuming all other variables are held constant).

To calculate the expected change in test scores when avginc increases from $30,000 to $40,000, you would calculate:

Change in test scores = Coefficient estimate for avginc * (New avginc - Old avginc)

Change in test scores = 0.05 * ($40,000 - $30,000)

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The CPU is often called the
of the computer.

Answers

Answer:

Explanation:

Tower?

Answer:

Its often called the brains of a computer.

Explanation:

Write a script in HTML for displaying your name in brown color.

Answers

Answer:

I don't quite understand the question. If you mean "create page in HTML", see image 2. If you mean "create script that is placed in the HTML page", see image 1

HTML is not a programming language. It is a markup language. You should write scripts in JavaScript or other programming languages.

1

<!DOCTYPE html>

<html>

<head>

 <meta charset="utf-8">

</head>

<body>

 <h1>Hello world!</h1>

 <*cript>

  function paint() {

   document.querySelector("h1").style.color = "brown";

  }

  setTimeout(paint, 2000)  

 </*cript>

</body>

</html>

2

<!DOCTYPE html>

<html>

<head>

 <meta charset="utf-8">

 <style>

  h1 {

   color: brown;

  }

 </style>

</head>

<body>

 <h1>Hello world!</h1>

</body>

</html>

Write a script in HTML for displaying your name in brown color.
Write a script in HTML for displaying your name in brown color.

Choose one IT Project of your own and answer the questions that follow:
NB: Only IT project examples are accepted.
Q.1.1 Briefly explain your project highlighting the objective and expected benefits of the
project.

Answers

Project -  Implementation of a Cloud-Based Customer Relationship Management (CRM) System

How does this work?

Objective  -  The objective of this project is to implement a cloud-based CRM system for the organization.

The CRM system   will centralize customer data, streamline communication,and enhance customer relationship management processes.

The project   aims to improve customer satisfaction, increase sales and revenue, and provide better insights for decision-makingthrough data analytics

It will also enable efficient collaboration among teams and improve overall operational efficiency in managing customer interactions and relationships.

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A constructor must have a return statement.

True

False

Answers

Answer:

False

Explanation:

this is false not true

Mac or PC (Need more opinions!)
Just pick which one do you like and why. I need it for my research paper, please.

Answers

Answer:

PC because pc you can download anything without too much trouble and the Mac cost a lot and you will have a hard time with it.

In attempts to improve their contribution to the environment a company decides to adapt green computing. Which of these techniques will contribute to green computing?

Answers

Answer:

A) virtualization

Explanation:

These are the options for the question

A) virtualization

B) grid computing

C) recycling

D) autonomic computing

From the question, we were informed that, In attempts for a company to improve their contribution to the environment the company decides to adapt green computing. In this case, the techniques that will contribute to green computing is virtualization.

Green computing can be regarded as

environmentally responsible use of computer as well as it's resources. It involves Design study as well as manufacturing, and making use of computer and disposing it's device in environmental friendly manner.

Technologies of green computing are:

✓Virtualization,

✓Cloud computing

✓Green Data Center,

✓E-waste control

Virtualization can be regarded as process involving creation of

software-based represention or virtual representation of resources/something.

This resources/ something can be virtual applications, storage as well as networks. It helps in reducing IT expenses and as a result of this, the efficiency as well as agility for all size businesses can be boosted


What makes some websites more trustworthy than others?

Answers

What makes a website more trustworthy is when It can aloe cookies


To generate integers between and including - 10 to 10 you would use:

randint(-10, 10)

random.random()*20 +
-10

random.randint(-10, 10)

random.random(-10, 10)

Answers

Answer:

random.randint(-10, 10)

Explanation:

random.randint(a, b)

Return a random integer N such that a <= N <= b. Alias for randrange(a, b+1).

Using R, call optionsim() repeatedly for a share with both a starting and exercise share price of $1.50 (with all other parameters as the default values) until you have found:
at least one case where the share goes up,
one case where it goes down,
and one case where the share price is approximately the same,
In some cases, the discrepancy between the theoretical value of the option and the value achieved by the trading strategy is larger, and in other cases it is smaller. Give your explanation, in the examples you have chosen why the discrepancy is larger or smaller in each case.

Answers

To find out the different share prices, the code below should be used:share .price <- seq(1, 2.5, by=0.01)The code snippet above generates share prices in the range of 1 to 2.5 in increments of 0.01.  

The S0 parameter is set to the current share price, which is specified by the x parameter. X parameter is set to the exercise price of the call option, which is $1.50 in this case. typeflag is specified as ‘c’ because we’re trying to evaluate call options. The apply function is used to call optionsim for every share price generated. After running this code, we will have the price of call options for different share prices.

The discrepancy between the theoretical value of the option and the value achieved by the trading strategy is larger in the following case: For share prices that are very low or very high, the value of the option may not be calculated accurately. This is due to the fact that the model assumes that the share price will follow a normal distribution, which is not always the case.  

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which of the steps in the network access control (nac) implementation process occurs once the policies have been defined?

Answers

Once the policies have been defined, the next step in the Network Access Control (NAC) implementation process is typically the Enforcement step.

In this step, the defined policies are enforced and applied to control network access based on the established rules and requirements.

During the Enforcement step, various measures are taken to ensure that only authorized devices and users are granted access to the network. This can involve implementing authentication mechanisms, checking device compliance with security policies, and applying access controls based on user roles or other criteria.

Overall, the Enforcement step focuses on implementing the defined policies in practice and enforcing them throughout the network infrastructure to maintain a secure and controlled network environment.

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how to ensure that you have completed the phone activation in your order?

Answers

To confirm the completion of phone activation follow: Access myaccount device-activity . Click Devices to see when your Account was first accessed. You can also view your device dates by going to your device settings and clicking About.

How long does it take to activate my phone after activation?

You can usually use your device within minutes. However, it can take up to 24 hours.

What happens when the phone is activated?

Activation means moving your existing mobile phone service (SIM card) from another phone to a new phone, or signing up for a new service plan (getting a new SIM card) and using your new phone.

What should do if phone is not activated?

Restart your phone: Turn off your phone, wait a few minutes and turn it back on. After the phone receives the signal, make a call to confirm the activation was successful. Reset network settings. Go to your phone's Settings and find Reset network settings or Reset Wi-Fi, mobile, and Bluetooth (on some models). 

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Prior to starting this question, please read the following article: https://ca.finance.yahoo.com/news/central-banks-rapidly-shift-gears-173031154.html (Links to an external site.) Explain the function of the Bank of Canada when it comes to maintaining a certain level of growth in the Canadian Economy. Further explain, how the Bank of Canada’s recent decision to raise interest rates will affect small businesses in Canada, and Canada’s economy?

Answers

The Bank of Canada plays a crucial role in maintaining a certain level of growth in the Canadian economy.

Its primary function is to oversee monetary policy and regulate the country's money supply. Through its actions, such as setting interest rates, the Bank of Canada aims to achieve and maintain price stability, promote economic growth, and support the well-being of Canadians.

The recent decision by the Bank of Canada to raise interest rates will have an impact on small businesses in Canada and the overall economy. When interest rates increase, it becomes more expensive for businesses to borrow money, which can have implications for investment and expansion plans. Small businesses, in particular, may face challenges as higher borrowing costs can restrict their ability to access capital for growth or operational needs. This can lead to a slowdown in business activities and potentially impact job creation.

Moreover, higher interest rates can also affect consumer spending as borrowing costs for individuals increase. This can influence the purchasing power of consumers and impact the demand for goods and services provided by small businesses. A decrease in consumer spending can have a ripple effect on small businesses, leading to reduced sales and revenue.

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Whales thrive in the benthic zone because it is full of plankton.
Is it true or false

Answers

Answer:

true

Explanation:

False. I answered true on the quiz and got it wrong.

you connect a new host to your company's wireless network. the host is set to receive a dhcp address, and the wpa2 key is entered correctly. however, the host cannot connect to the network. what can the problem be?

Answers

The problem that may arise if you connect a new host to your company's wireless network is that it may not connect to the network even though it is: set to receive a DHCP address and the WPA2 key has been entered correctly.

There may be an issue with the network driver. This can be resolved by reinstalling the driver. As a result, it will be able to connect to the network without difficulty.When the wireless router has reached its maximum capacity, this can cause network performance problems. As a result, the router should be upgraded to provide better wireless service.In the case of a router that has malfunctioned, users may experience difficulties connecting to the wireless network.

In this case, the router should be restarted. If the problem persists, it's time to replace the router.The wireless access point's signal may be weak. In this case, repositioning the router may improve the signal strength.

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The unix operating system associates a protection domain with the ____. the unix operating system associates a protection domain with the ____. task tread process user

Answers

The unix operating system associates a protection domain with the user.

In the Unix operating system, each user is assigned a protection domain. This domain defines the user's permissions and access rights. Protection domains are used to prevent unauthorized access to system resources and to ensure that users can only access the resources that they are authorized to access.

This domain is used to protect the user's files and data from being accessed by unauthorized users. The domain is also used to limit the user's ability to modify system files.

The security domain of a user is the set of all objects to which the user has access. A user's security domain is determined by the user's security clearance and the security policies of the domain.

clearance: the user's security clearance

domain: the set of all objects to which the user has access.

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the first day anna read a quarter of the book. on the second day she read a third of the remainder. noticed that after two days he had 80 pages left unread. how many pages did the book have?​

Answers

Answer:

160 pages

Explanation:

\(Day\ 1 = \frac{1}{4}\)

\(Day\ 2 = \frac{1}{3}Remainder\)

\(Left = 80\)

Required

The number of pages

Let the number of pages be x.

So, on day 1; we have:

\(Day\ 1 = \frac{1}{4}x\)

After day 1, there are:\(\frac{3}{4}x\) left ----------------- i.e x - 1/4x

On day 2, we have:

\(Day\ 2 = \frac{1}{3} * \frac{3}{4}x\)

\(Day\ 2 = \frac{1}{4}x\)

At this point, we have:

\(Day\ 1 = \frac{1}{4}x\)

\(Day\ 2 = \frac{1}{4}x\)

\(Left = 80\) ---- pages left

The summation of all must equal x, the book pages

\(Day\ 1 + Day\ 2 + Left = Total\\\)

\(\frac{1}{4}x + \frac{1}{4}x+ 80= x\)

Simplify the left-hand side

\(\frac{1}{2}x+ 80= x\)

Collect like terms

\(x - \frac{1}{2}x= 80\)

Simplify

\(\frac{2-1}{2}x= 80\)

\(\frac{1}{2}x= 80\)

Multiply by 2

\(2 * \frac{1}{2}x= 80*2\)

\(x = 160\)

Gas prices are up 25% since last year, when they were

$3.50. How much is gas now?

Answers

Gas prices have increased by 25% from last year's price of $3.50.

To calculate the new price, we can use the formula:
New price = (1 + 25%) * $3.50
The percentage increase is added to 1 to get the multiplier, which is then multiplied by the original price. Solving for the new price, we get:
New price = 1.25 * $3.50
New price = $4.375
Therefore, gas prices are now $4.375, up from $3.50 last year. This increase in gas prices can be attributed to various factors such as supply and demand, geopolitical events, and production costs. In general, costs refer to the expenses incurred to produce a good or service. In business and economics, costs can be classified into different types such as fixed costs, variable costs, direct costs, and indirect costs.

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4.2 lesson practice edhesive

Answers

Answer:

Following are the code to this question:

m=3#defining a variable m  

while(m<22):#defining a while loop to count value  

 print(m)#print value

 m=m+3#increment the value by 3

Output:

Please find the attached file.

Explanation:

Note: In the given question, it is not clear that what the question asks about so, we describe the code above and its description can be defined as follows.

In the above code, an integer variable m is defined, that holds an integer value, in the next step, it uses a while loop to increment the value by 3 and use the print method to print its calculated value.

4.2 lesson practice edhesive

The function prints multiples of 3 up to 21. The function is written in python 3 thus :

for num in range(3 , 24, 3):

#for loop through 3 up to but not including 24, and moves on steps of 3.

print(num)

#for each number looped through, print the number.

A sample run of the program and the output is attached below.

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4.2 lesson practice edhesive

What is the best describes of a main purpose of a engineering

Answers

Answer: Engineering is the application of science and math to solve problems. Engineers figure out how things work and find practical uses for scientific discoveries.Aug 22, 2014

Explanation:

1. Why is it important to learn about cybersecurity?
2. What are you most excited to learn more about in the world of
cybersecurity?

Answers

1. To protect your device from getting bugged.

Which statement describes a possible cause of algorithmic bias?
A. An algorithm miscalculates the data that is entered and doesn't
filter out unwanted data.
B. A programmer writes his own worldview into an algorithm,
privileging one group of users over others.
C. There is a shortage of good algorithms to solve complex problems
or issues.
D. A programmer fails to analyze the problem fully and break it down
into smaller parts.

Answers

The statement which best describes a possible cause of algorithmic bias is that a programmer fails to analyze the problem fully and breaks it down into smaller parts. Thus, the correct option for this question is D.

What is Algorithm bias?

Algorithm bias may be defined as systematic and repeatable errors in a computer system that significantly construct unfair outcomes in a given set of instructions by the user.

There are three main causes of algorithmic bias: input bias, training bias, and programming bias. Algorithmic outcomes oftentimes labeled as “biased” may simply reflect unpleasant facts based on causal relationships derived from reliable representative data.

Therefore, a programmer fails to analyze the problem fully and break it down into smaller parts is the statement that best describes a possible cause of algorithmic bias.

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Steps in saving an excel work book

Answers

Question

Steps in saving an excel work book

꧁༒Answer༒꧂

1.Click File > Save as

2.Under save as, pick place where

you want to save your workbook.

3.click browse to find the location you

want in your documents folder.

4.in the file name box, enter a name for a

new workbook.

5.To save your workbook in a different

file format(like.

6.Click save

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Find the perimeter of the given figure, help please! What is the value of expression below when w = 4?3w^2 - 3w + 8 In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, mThe angle measures of triangle PQR are: m As the first five elements in Group 14 are considered in order from top to bottom, there are changes in both theAelectronegativity values and number of first shell electronsBelectronegativity values and atomic radiiCnumber of valence shell electrons and number of first shell electronsDnumber of valence shell electrons and atomic radii Given the area of a circle is 201.06cm2, find the diameter and circumference. Why was the Unites states involve of the Korean and conflict? Jim makes a deposit of $12,000 in a bank account. the deposit is to earn interest compounded annually at the rate of 6 percent for seven years. Required: a. how much will jim have on deposit at the end of seven years? (hint: what is future value?) b. assuming the deposit earned a 9 percent rate of interest compounded quarterly, how much would he have at the end of seven years? c1. what is the effective annual yield for alternative (a) where interest is compounded annually? c2. what is the effective annual yield for alternative (b) where interest is compounded quarterly? c3. which alternative is better? Jimmy went on a tour to Europe with $5,000. He spent 4/25 of it on hotel accommodation, 3/20 of it on airfare 1/10 of it on shopping and 1/5 on the remainder How much more did he spend on hotel accommodation than on food? 2. Convert 24 pesos to U.S. dollars. Need help please!!! Worth 15 points The horror elements of the monkeys paw substitution !! Check your solutiony - x = 3x + 22x + 2y = 14 - y (by Substitution) Offering lots of points for the right answer! Please help with this question, thank you! a general decline in partisan identification and loyalty is sometimes called (4d6d3+3d2)(10d3+7d2) find the difference In leaves, the conducting tissues are found in thea. stomates b. guard cells c. veins d. cuticles Solve for 3. Round to the nearest tenth of a degree, if necessary.w4543U 3 3/4 divided by 4/5 pls help ASAP TRUE/FALSE. three types of threats to biodiversity are: habitat loss and fragmentation the introduction of exotic, or non-native, species overexploitation, or overharvesting What is the final reaction in the final round of fatty acid synthase? Group of answer choices Acetyl-CoA ACP Transacylase Beta-Ketoacyl- ACP Synthase Beta-Ketoacyl- ACP Dehydrase Palmitoyl thioesterase Malonyl-CoA ACP Transacylase Enoyl-ACP Reductase