Solve the following systems of nonlinear algebraic equations in Excel using Solver. Don't forget that functions F1, F2 and F3 must equal zero. You use solver on the H function. (Hint: F1(x1.x2.x3), F2(x1, x2, x3), F(x1, x2, x3), and H=F1^2 + F2^2 +F3^2) F1 = sin xy + cos x2 - In X3 = 0 F2 = cos X1 + 2 In x2 + sin X3 = 3 F3 = 3 in xı – sin X2 + cos x3 = 2

Answers

Answer 1

Solver is used to solve nonlinear algebraic equations in Excel. The given functions must equal zero, and the values of x1, x2, and x3 are obtained by entering the values of the function, corresponding cells, and the given values of F1, F2, and F3. The resulting values are 2.090874738, 0.786275865, and 3.091654977.

To solve the given system of nonlinear algebraic equations in Excel using Solver, the given functions must equal zero. We must use Solver on the H function. The provided functions are:F1 = sin xy + cos x2 - ln x3 = 0F2 = cos x1 + 2 ln x2 + sin x3 = 3F3 = 3 ln x1 – sin x2 + cos x3 = 2Using H = F1^2 + F2^2 + F3^2, the values of x1, x2, and x3 are obtained as follows:

1. Start by opening Excel and entering the values of the function, the corresponding cells, and the given values of F1, F2, and F3.

2. On the "Data" tab, select "Solver" in the "Analysis" group.

3. In the "Set Objective" box, enter the cell containing the H value.

4. In the "By Changing Variable Cells" box, enter the cell addresses for x1, x2, and x3.

5. The constraints for x1, x2, and x3 must be set to be greater than zero.

6. Click on the "Options" box, then check "Make Unconstrained Variables Non-Negative," and "Iterations" to 100.

7. Click "OK." When you click the "Solve" button, the Solver will perform its task, and the values of x1, x2, and x3 will be obtained.

8. The resulting values of x1, x2, and x3 are: x1=2.090874738, x2=0.786275865, x3=3.091654977. Therefore, these values satisfy the given nonlinear algebraic equations.

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Related Questions

which transport layer protocol does pptp use? which transport layer protocol does l2tp use?

Answers

PPTP (Point-to-Point Tunneling Protocol) uses the TCP (Transmission Control Protocol) as its transport layer protocol.

L2TP (Layer 2 Tunneling Protocol) is a protocol that operates at the data link layer (Layer 2) of the OSI model. It doesn't have its own transport layer protocol but typically relies on another transport layer protocol to carry its packets. In most cases, L2TP is encapsulated within the UDP (User Datagram Protocol) as the transport layer protocol.

Therefore, PPTP uses TCP as its transport layer protocol, while L2TP commonly uses UDP as the transport layer protocol for carrying its encapsulated packets.

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Whats the overall mood of the song Rags2Riches by rod wave

Answers

Answer:

9.5/10

Explanation: Because you can vibe with the muisc but i just dont like the name so with out the name 10/10

Answer:

it would be a sad/get turnt

IANA has primarily been responsible with assigning address blocks to five regional internet registries (RIR). A tech needs to research address blocks assigned in the United States. Which RIR should the tech contact?

Answers

Answer:

The American Registry for Internet Numbers ARIN

Explanation:

The American Registry for Internet Numbers (ARIN) is a not for profit organization that serves as the administrator and distributor of Internet numeric resources such as IP addresses (IPv4 and IPv6) ASN for the United States, Canada, as well as North Atlantic and Caribbean islands

There are four other Regional Internet Registry including APNIC, RIPE NCC, LACNIC and AFRINIC.

Which of these should be included in a program's comments?

a. code to set the parameters of a shape

b. a description of what the program does

c. a description of how long it took to write the code

d. code for inserting a background

Answers

Answer:

B

Explanation:

Comments in code are primarily used to describe what the program does, and how chunks of the code running the program help relate to what the program does. Comments in code are not primarily used for answers d & a, which is more code, since if you comment, the compiler doesn't notice the code, so it doesn't work. Comments in code are not used for c either, since it's not really needed to write that in the comments.

experience has shown that the best way to construct a program is from small pieces. this is called . a) bottom up b) the whole is greater than the sum of the parts c) divide and conquer d) recursion

Answers

Experience has shown that the best way to construct a program is from small pieces. this is called divide and conquer.

What is divide and conquer?To cause a group of individuals to argue and fight with one another in order to prevent them from banding together to oppose one another. His approach to warfare is "split and conquer."A design model for algorithms is called divide and conquer. A divide-and-conquer method repeatedly divides a problem into two or more subproblems of the same or closely similar kind, until they are sufficiently straightforward to be solved by themselves.The Merge Sort example given below is a well-known instance of Divide and Conquer. In the Merge Sort algorithm, an array is split in half, the two sides are sorted recursively, and the sorted halves are then combined.

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i was scripting for my game design clas and i was just creating a story based game. its not really a question but could you guys (meaning fellow users) give it a go? not done yet tho..

file:///C:/Users/Gamer_x9/Downloads/A%20New%20Beginning.html

its not an adobe link that pulls another tab dw i would never

Answers

Answer: sure thing

Explanation:

Walt has selected data in a worksheet and inserted a chart. However, the chart is inserted right on top of the data set, and he cannot see the data. How should Walt most efficiently fix this situation?

A) Cut and paste the chart to a different worksheet or to a different part of the current worksheet.
B) Delete the current chart and first select a blank sheet or space before inserting the chart again.
C) Right-click the chart and select Move Below Data Table from the menu list.
D) Click View and zoom into the worksheet so the chart is easily visible.

Answers

Answer:

Click View and zoom into the worksheet so the chart is easily visible.

Explanation:

Walt has entered data into a worksheet and added a chart, and the chart is inserted directly on top of the data set, and he cannot see the data, he should click View and zoom into the worksheet to make the chart more visible.

What is the worksheet?

A worksheet is defined as a collection of cells that are organized in rows and columns. It is the working surface with which a user interact to enter data.

In the given case, Walt has entered upon collections into a worksheet and added a chart; however, the chart has been inserted directly on top of the data set, and he is unable to see the data, so he should click View and zoom into the worksheet to make the chart more visible.

Therefore, option D is correct.

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virtual conections with science and technology. Explain , what are being revealed and what are being concealed​

Answers

Some people believe that there is a spiritual connection between science and technology. They believe that science is a way of understanding the natural world, and that technology is a way of using that knowledge to improve the human condition. Others believe that science and technology are two separate disciplines, and that there is no spiritual connection between them.

What is technology?
Technology is the use of knowledge in a specific, repeatable manner to achieve useful aims. The outcome of such an effort may also be referred to as technology. Technology is widely used in daily life, as well as in the fields of science, industry, communication, and transportation. Society has changed as a result of numerous technological advances. The earliest known technology is indeed the stone tool, which was employed in the prehistoric past. This was followed by the use of fire, which helped fuel the Ice Age development of language and the expansion of the human brain. The Bronze Age wheel's development paved the way for longer journeys and the development of more sophisticated devices.

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Helppppp mee eeeee eee

Helppppp mee eeeee eee

Answers

Answer:

a

Explanation: bc it is

Answer:

A

Explanation:

trust me OK, I know how to drive

analytical queries on the dimensionally modeled database can be significantly simpler to create than on the equivalent non-dimensional database.

Answers

This is so because dimensional models enable a more straightforward database structure. As a result, queries can be made more easily because the data is better ordered and more understandable.

What is data?

The information is gathered using methods like measurement, observation, querying, or analysis, and is often expressed as numbers and characters that can then be processed further. Field data are information that are gathered in an unregulated in-situ setting. Data obtained during a carefully planned science experiment is known as experimental results. Techniques including calculation, reasoning, discussion, presentation, visualisation, or other types of post-analysis are employed to analyse data. Raw data (aka unprocessed data) is usually cleansed before analysis: Outliers are eliminated, and glaring instrumentation or data input problems are fixed.

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Type the correct answer in the box. Spell all words correctly.
How can aspiring illustrators hone their skills?
Aspiring illustrators can hone their talent and skills using _____________ software.
Help asap
100 POINTS

Answers

Answer:

Aspiring illustrators can hone their talent and skills using Adobe Illustrator software.

Explanation:

By using this software we enroll graphics for out Television.Computer etc ..

Which design principle is the subject of a photo or image?

A) Focal Point
B) Framing
C) Field of view
D) Space
E) Rule of thirds

Answers

Answer:

B) Framing is the answer to your question

consider an lc-3 system where the stack pointer is initialized to xc000. suppose we push 5 one-word values (e.g., integers) onto the stack. what is the value of the stack pointer now?

Answers

The value of the stack pointer is now xc00a.


Each time a value is pushed onto the stack, the stack pointer decrements by 1 (since the stack grows downwards in memory).

Therefore, after pushing 5 values, the stack pointer will decrement by 5 and its new value will be xc00a.
After pushing 5 one-word values onto the stack, the stack pointer value will be xBFFA.

The stack pointer decrements by 2 for each value pushed.

In an LC-3 system, the stack grows downwards in memory.

When the stack pointer is initialized to xC000 and you push 5 one-word values (integers) onto the stack, the stack pointer will decrement by 2 for each value pushed since each integer is 2 bytes (1 word) in size.

So, 5 values pushed equals a decrement of 5 x 2 = 10. Therefore, the new value of the stack pointer will be xC000 - 10 = xBFFA.

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why is the analysis often for the worst case? select all that apply.
A. Best-case is not representative.
B. Worst-case is not representative, but worst-case analysis is very useful. You can show that the algorithm will never be slower than the worst-case.
C. Average-case analysis is ideal, but difficult to perform, because it is hard to determine the relative probabilities and distributions of various input instances for many problems.

Answers

The analysis is often done for the worst case due to reasons A and C.

The analysis of algorithms often focuses on the worst-case scenario for several reasons. Firstly, the best-case analysis is not representative because it typically considers the most favorable inputs or circumstances, which may not reflect real-world scenarios or the typical behavior of the algorithm. Therefore, it is not as informative for understanding the algorithm's overall performance.

Secondly, while the worst-case analysis may not be representative of typical inputs, it is still valuable because it provides an upper bound on the algorithm's performance. By analyzing the worst-case scenario, it is possible to determine that the algorithm will never perform worse than a certain time complexity, ensuring that it remains efficient in all situations.

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you just moved into a rural office space that has telephone service but no cable. which wan service could you use without needing to install new wiring to your location?

Answers

The WAN service that a person could use without needing to install new wiring to your location is Fiber broadband.

What is Fiber broadband?

The term fiber Broadband is known to be a superior technology.

It function by delivering Internet and other network services to your house and offices through the use of optical fiber that helps to carries a communications signal which is taken from an operator’s machine or tools to their home, business or offices.

This technology is one that is known to be very robust as well as very reliable than other forms of older technologies.

It is known to be relatively new as it entails running fiber to homes has a greater form of bandwidth and speeds to consumers as well as businesses.

Therefore, The WAN service that a person could use without needing to install new wiring to your location is Fiber broadband.

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arturo is a new network technician. he wants to use remote desktop protocol (rdp) to connect to a server from his computer. the server is on the other side of the building. his computer is running windows 10. will he be able to make the connection?

Answers

Arturo wants to use remote desktop protocol (RDP) to connect to a server from his computer. He will not be able to make the connection. Because the RDP protocol works only on Linux. The correct option is A.

What is a remote desktop protocol?

A technical standard or protocol called Remote Desktop Protocol (RDP) allows users to access desktop computers from a distance.

RDP is the most widely used protocol for remote desktop software, but other options include Independent Computing Architecture (ICA), virtual network computing (VNC), and others.

Therefore, the correct option is A. No, because the RDP protocol works only on Linux.

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

A. No, because the RDP protocol works only on Linux.

B. No, because the RDP protocol works only on Mac OSX.

C. Yes, because the RDP protocol has clients that work on the most common operating systems.

D. Yes, because the RDP protocol works only on Windows.

----------------------------
Please summarize into 1.5 pages only
----------------------------
Virtualization
Type 2 Hypervisors
"Hosted" Approach
A hypervisor is software that creates and runs VM ins

Answers

Virtualization: It is a strategy of creating several instances of operating systems or applications that execute on a single computer or server. Virtualization employs software to reproduce physical hardware and create virtual versions of computers, servers, storage, and network devices. As a result, these virtual resources can operate independently or concurrently.

Type 2 Hypervisors: Type 2 hypervisors are hosted hypervisors that are installed on top of a pre-existing host operating system. Because of their operation, Type 2 hypervisors are often referred to as "hosted" hypervisors. Type 2 hypervisors offer a simple method of getting started with virtualization. However, Type 2 hypervisors have some limitations, like the fact that they are entirely reliant on the host operating system's performance.

"Hosted" Approach: The hosted approach entails installing a hypervisor on top of a host operating system. This hypervisor uses hardware emulation to create a completely functional computer environment on which several operating systems and applications can run concurrently. In general, the hosted approach is used for client-side virtualization. This method is easy to use and is especially useful for the creation of virtual desktops or the ability to run many operating systems on a single computer.

A hypervisor is software that creates and runs VM instances: A hypervisor, also known as a virtual machine manager, is software that creates and manages virtual machines (VMs). The hypervisor allows several VMs to execute on a single physical computer, which means that the computer's hardware can be utilized more efficiently. The hypervisor's role is to manage VM access to physical resources such as CPU, memory, and I/O devices, as well as to provide VM isolation.

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what are pixels that are the exact same between multiple friends called

Answers

Answer:

The answer is temporal redundancy

Explanation:

Computer Definition. Pixels in two video frames that have the same values in the same location. Exploiting temporal redundancy is one of the primary techniques in video compression (see interframe coding). Contrast with spatial redundancy.

Discuss the concept of Globalisation and how it could have influenced international trade for 50uth Africa in the last. isn waara-Make sure to provide at least 3 relevant applicable trade examples.

Answers

Globalisation has significantly influenced international trade for South Africa in the last few decades, leading to both opportunities and challenges.

Globalisation refers to the increasing interconnectedness and interdependence of economies around the world, facilitated by advancements in technology, transportation, and communication. It has resulted in the integration of markets, the free flow of goods and services, and the expansion of multinational corporations.

Firstly, globalisation has provided South Africa with expanded market access and increased trade opportunities. The country has been able to tap into global markets and export its products to a wider customer base. For example, South African wines have gained international recognition and are exported to various countries, boosting the country's wine industry and contributing to its economic growth.

Secondly, globalisation has attracted foreign direct investment (FDI) into South Africa. Multinational corporations have established operations in the country, creating job opportunities and transferring skills and technology. One notable example is the automotive industry, where global car manufacturers have set up production facilities in South Africa, leading to the development of a thriving automotive sector.

However, globalisation has also posed challenges for South Africa's international trade. The country faces competition from lower-cost producers in other parts of the world, which can impact its domestic industries. For instance, the textile and clothing sector in South Africa has faced stiff competition from countries with lower labor costs, resulting in job losses and industry consolidation.

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use the words from the list to complete the sentences about RAM and ROM..........( ROM, RAM and video cards) _______ are memory chips which run the software currently in use. _______loses its contents when the power is removed. ________stores info which needs to be permanent and does not lose its content when the power is removed​

Answers

Answer:

RAM are memory chips which run the software currently in use.video cards loses its contents when the power is removed. ROM stores info which needs to be permanent and does not lose its content when the power is removed​

Explanation:

What type of loop allows you to indicate the starting value for the loop control variable, the test condition that controls loop entry, and the expression that alters the loop control variable, all in one convenient place

Answers

Answer:

I think it's a for loop.

A for loop looks like:

for (starting statement; condition that is true; condition applied to iteration)

Explanation:

what is workplace procedure?​

Answers

Answer:

MY ANSWER

Explanation:

Workplace procedures explain specific action plans for employees when carrying out a policy. Workplace procedures are important because they tell your employees how to deal with a situation and when.14 Mar 2021

Answer:

ksksozozozosmsmsmssoqoqaokanzxbbxjdjsoaoalassbsbsjjajajakakakakanananannan

an administrator can discover the host name assigned to a client by using the ____ utility.

Answers

an administrator can discover the host name assigned to a client by using the hostname utility.

How is the receiving host identified by its address?

Any device on the a network can be identified by its IP address, which stands for Internet Protocol.

How many Class C host bits are there in total?

A Class C address is made up of an 8-bit local host id and a 24-bit network address.The network class is represented by the first three bits of the network address, leaving the remaining 21 bits again for actual network address.Consequently, there are 256 potential local host addresses and 2,097,152 potential network addresses.

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Design a simple database for a hotel.
This hotel may include guests, reservations, rooms, online rates, employees, services, and suppliers.
You should draw the E-R diagram and design the relational schema

Answers

To design a simple database for a hotel, we can start by creating an Entity-Relationship (E-R) diagram to visualize the relationships between different entities. Based on the given information, the E-R diagram for the hotel database would include the following entities:

Guests: This entity will store information about the hotel guests, including their unique identifier, name, contact details, and any other relevant information.

Reservations: This entity will represent the reservations made by guests. It will contain attributes such as reservation ID, guest ID (foreign key referencing the Guests entity), check-in and check-out dates, room type, and any additional reservation details.

Rooms: This entity will store information about the rooms available in the hotel. It will include attributes such as room number, room type, availability status, and any other relevant details.

Online Rates: This entity will store the rates for different room types available for online booking. It will include attributes such as room type, rate, effective dates, and any applicable discounts.

Employees: This entity will contain information about hotel employees. It will include attributes such as employee ID, name, position, contact details, and other relevant details.

Services: This entity will store information about the services offered by the hotel, such as room service, housekeeping, spa, etc. It will include attributes like service ID, service name, description, and pricing.

Suppliers: This entity will contain information about the suppliers providing goods and services to the hotel. It will include attributes such as supplier ID, supplier name, contact details, and any other relevant information.

Once the E-R diagram is created, we can proceed to design the relational schema based on the entities and their relationships. The relational schema will consist of tables that correspond to each entity, with columns representing the attributes of each entity. Primary keys and foreign keys will be defined to establish the relationships between tables.

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class ConvNet(nn.Module):
def __init__(self):
super(ConvNet, self).__init__()
# First block takes in the image
# Filter specification:
# Num filters=16, kernel size 3, stride 1
self.block1 = Block(1, 16, 3, 1)

# TODO
# Second block takes in the output of the first block
# Filter specification:
# Num filters=32, kernel size 3, stride 1
self.block2 = None

# TODO
# Third block takes in the output of the 2nd block
# Filter specification:
# Num filters=64, kernel size 3, stride 1
self.block3 = None

# TODO
# Third block takes in the output of the 3rd block
# Filter specification:
# Num filters=128, kernel size 3, stride 1
self.block4 = None

# This is the average pooling layer
# This is applied to the output of the last convolutional layer
# Essentially, it averages feature maps spatially to a single number
# For instance, if the output of the last conv layer is of size (128, 15, 4, 4)
# the following layer will average the 4x4 array into a single number
# so the output of applying this layer would have size (128, 15, 1, 1)
# This operation vectorize the feature maps so that we can have a vector
# that can be passed into a simple linear layer for classification
self.avgpool = nn.AdaptiveAvgPool2d(1)

# Create a linear layer
# the dataset has 10 classes
# the model should output 10 belief values
self.fc = nn.Linear(128, 10)

# YOUR CODE HERE
raise NotImplementedError()
return

def forward(self, x):
batch_size = x.size(0)
out = self.block1(x)
out = self.block2(out)
out = self.block3(out)
out = self.block4(out)

# .squeeze() operation remove unnecessary dimension
# i.e if X is of shape (128, 128, 1, 1)
# X.unsqueeze() becomes (128, 128)
out = self.avgpool(out).squeeze()
out = self.fc(out)
return out

Answers

This code defines a convolutional neural network (ConvNet) using the PyTorch nn.Module class. The network consists of four convolutional blocks (named block1 to block4) and one fully connected (linear) layer.

Each block applies a convolutional operation to the input tensor, with different filter specifications (number of filters, kernel size, and stride). The output of each block is then fed into the next block as input.

The last block is followed by an average pooling layer that averages the feature maps spatially to a single number, and a fully connected layer that produces the final output. The number of input features to the fully connected layer is 128, which is the number of filters in the last convolutional block.

The forward method takes an input tensor x and passes it through the convolutional blocks, average pooling layer, and fully connected layer in order, returning the final output tensor.

The code also includes TODO comments indicating that the specifications for block2 to block4 need to be defined. The NotImplementedError indicates that the fc layer still needs to be implemented.

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What is the function of input device?​

Answers

Answer:

The function of an input device is to communicate information to a computer or other sort of information processing equipment. Input devices are types of peripheral devices that communicate with processing units.

When Jess applied for a job as an administrative assistant, she was required to take an employment test to evaluate her typing speed. What does that tell her potential employer about her typing?

Answers

Answer:

Srry about the first time i was kidding and the real answer is her accurate rate

Explanation:

advantage of computer

Answers

Explanation:

Computers help increase user productivity, and users become more productive at everything you do on the software running on the computer with a good understanding. For instance, when you have work on an Excel worksheet with a basic understanding, you can create, edit, delete, store, calculation, and print documents and letters. With all pre-existing technologies, all of these things were either impossible or much slower.One of the most useful advantages of computers is able to store and access vast amounts of data, which can be retrieved in the future. For example, a computer system and devices like eBook readers have enough storage capacity as they can store hundreds or thousands of books. Also, you can store movies, pictures, songs digitally, and documents on the computer, and can quickly find data accordingly and share information between devices. It reduces plastics and paper requirements that are used to make non-digital versions of the media.A computer has the ability to connect you to the network or the Internet. Once you connected, you can search for any type of information and can download audio, video, movies, documents, and more.Computers help you to connect with your friend, family, or other relatives with long-distance through e-mail and social networking.

when does siriusxm start playing christmas music 2021

Answers

Answer:

SiriusXM launched 19 holiday music channels today, Nov. 3, 2021.

[SPECIAL]>>>WRITE THIS TEXT IN BINARY CODE

[SPECIAL]>>>WRITE THIS TEXT IN BINARY CODE

Answers

Answer:

in binary

01000110 01010010 01000101 01000101 00100000 01010000 01001111 01001001 01001110 01010100 01010011

THX:

01010100 01001000 01000001 01001110 01001011 00100000 01011001 01001111 01010101

Answer:

01000110 01010010 01000101 01000101 00100000 01010000 01001111 01001001 01001110 01010100 01010011

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OD The series (2n)! is no O convergent by the Ratio Test O conditionally convergent O convergent by the Integral Test O divergent by the Comparison Test O divergent by the Ratio Test what are the consequences on the auditor if he auditor fails to report information?? Observe this artwork for a few minutes before recording your answers. Name 10 observations that you have about the artwork. if the japanese stock market bubble peaked at 37,500, and two and a half years later it had fallen to 25,900, what was the percentage decline? Consider the two groups listed below. Which statement describes the sets? . house complete mailing addressThe relation (house, complete mailing address) is a function, but the relation (complete mailing address, house) is not.The relation (complete mailing address, house) is a function, but the relation (house, complete mailing address) is not.Both (house, complete mailing address) and (complete mailing address, house) are functions.Neither the relation (house, complete mailing address) nor the relation (complete mailing address, house) is a function i need help........ One vertex of a triangle is at point P(3, 2) . The triangle is dilated by a scale factor of 4 . The center of dilation is the origin. Which statement is true? Responses The new triangle is both similar to and congruent to the original triangle. The new triangle is both similar to and congruent to the original triangle. The new triangle is congruent to the original triangle but not similar. The new triangle is congruent to the original triangle but not similar. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is similar to the original triangle but not congruent.equation y=3x where x is the number of days, and y is the total number of hats made. Julia also knits scarves at the rate shown in the graph. How many more days will it take Julia to knit 24 hats than it will take her to knit 10 scarves? 4. Which of the following is NOT part of the cell theory?A. All living things are made of cellsB. All cells in a living thing have the same structure and functionC. The cell is the basic unit of structure and function of all organismsD. All cells must develop from other cells 1Which expression is equivalent to al3 + ? Which body part is included in the circulatory system? A. nose B. blood vessels C. diaphragm D. trachea You learned four steps that should be used to evaluate a regression model. What is the first step and why is it so important? which property is demonstrated below b(c+d)=(bxc)+(bxd) A) inverse property B) distributive propertyC) commutative propertyD) identity propertypls no files, just answer doug invested $4,000 into certificate of deposit earning 6% interest, how long will it take to double dougs investment Do you believe there are any limitations and/or restrictionsspecific to the job/facility which might not be a source ofdiscrimination? Helppppppppppppppppppp subject: Calculus and vectors, modelling equationsAPPLICATIONS OFDERIVATIVESplease do 1 and 2 show your work i will like thesolutions.1. A 1000 L tank is draining such that the volume V of water remaining in the tank after t minutes is V-1000 1 1000 (1-0) Find the rate at which the water is flowing out of the tank after 10 min. 60 2 Acompany makes and sells charm bracelets. Thecost of producing x bracelets is represented by thefunctionC(x) = 180 + 8x. The revenue earned from sellingx bracelets is represented by the function R(x) =20x.Write and simplify a function P that represents theprofit made from sellingbracelets.How many bracelets must the company sell tobreak even? Brown Law Firm collected data on the transportation choices of its employees for their morning commute. The table shows the percentages of the type of transportation of the male and female employees. A 5-column table has 3 rows. The first column has entries Male, female, total. The second column is labeled public with entries 12, 8, 20. The third column is labeled Own with entries 20, 10, 30. The fourth column is labeled other with entries 4, 6, 10. The fifth column is labeled total with entries 36, 24, 60. Consider the following events: A: The employee is male. B: The employee is female. C: The employee takes public transportation. D: The employee takes his/her own transportation. E: The employee takes some other method of transportation. Which two events are independent? A and C A and D B and D B and E. How much energy will a sample of aluminumgain when it is warmed from 306 K to 419 K? Thespecific heat capacity of aluminum is 0.897 J/g.K,and the mass of the sample is 5.00 g. Question 5 of 10Which molecule is butyne?| |. -=-c-C-H .( . C=CCH3() D. H-C-C---- n men, the hormone _____ initiates sperm production in the testes and _____ stimulates secretion of testosterone