because they make it easy to arrange, display, and calculate numerical data, programs are often used in budgeting, accounting, finance, grading, gambling houses, and even sports analysis.

Answers

Answer 1

Because they make it easy to arrange, display, and calculate numerical data, spreadsheet programs are often used in budgeting, accounting, finance, grading, gambling houses, and even sports analysis.

What is a spreadsheet application?

A spreadsheet application is sometimes referred to as a spreadsheet program can be defined as a type of software program which is typically designed and develop with cells that are arranged in a tabulated format in rows and columns, so as to do the following on a data set:

GenerateSortCalculateFormatArrange

In this context, we can reasonably infer and logically deduce that a spreadsheet program is a type of application software that can be used to sort, arrange, format, and calculate a given numerical data.

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Complete Question:

Because they make it easy to arrange, display, and calculate numerical data, ______ programs are often used in budgeting, accounting, finance, grading, gambling houses, and even sports analysis.


Related Questions

In the design of a jet engine part, the designer has a choice of specifying either an aluminium alloy casting or a steel casting. Either material will provide equal service, but the aluminium casting will weigh 1.2 kg as compared with 1.35 kg for the steel casting. The aluminium can be cast for Rs. 80.00 per kg. and the steel one for Rs. 35.00 per kg. The cost of machining per unit is Rs. 150.00 for aluminium and Rs. 170.00 for steel. Every kilogram of excess weight is associated with a penalty of Rs. 1,300 due to increased fuel consumption. Which material should be specified and what is the economic advantage of the selection per unit?

Answers

The economic advantage of selecting steel over aluminum is Rs. 246 - Rs. 217.25 = Rs. 28.75 per unit.

In the design of a jet engine part, the designer has a choice of specifying either an aluminium alloy casting or a steel casting. Either material will provide equal service, but the aluminium casting will weigh 1.2 kg as compared with 1.35 kg for the steel casting. The aluminium can be cast for Rs. 80.00 per kg. and the steel one for Rs. 35.00 per kg. The cost of machining per unit is Rs. 150.00 for aluminium and Rs. 170.00 for steel. Every kilogram of excess weight is associated with a penalty of Rs. 1,300 due to increased fuel consumption. Which material should be specified and what is the economic advantage of the selection per unit?The weight of the aluminum casting is 1.2 kg while the weight of the steel casting is 1.35 kg. Therefore, the weight of the aluminum casting is less than that of the steel casting.Cost of manufacturing per kg for aluminum = Rs. 80.00Cost of manufacturing per kg for steel = Rs. 35.00Cost of machining per unit of aluminum = Rs. 150.00Cost of machining per unit of steel = Rs. 170.00Now, let's calculate the cost of a unit of aluminum:Cost of casting = 1.2 x 80 = Rs. 96.00Cost of machining = Rs. 150.00Total cost of aluminum = Rs. 150 + Rs. 96 = Rs. 246.00Similarly, let's calculate the cost of a unit of steel:Cost of casting = 1.35 x 35 = Rs. 47.25Cost of machining = Rs. 170.00Total cost of steel = Rs. 170 + Rs. 47.25 = Rs. 217.25

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Given hash function of key % 5, determine the insert location for each item. q) HashInsert(numsTable, item 13)

Answers

The insert location for item 13 would be determined by applying the hash function of key % 5, which means taking the remainder of 13 divided by 5. Therefore, the result would be 3. So, the item 13 would be inserted at location 3 in the numsTable using this hash function.

A hash function is a mathematical function that takes an input (or "message") and produces a fixed-size string of characters, which is typically a hash value or hash code. The primary purpose of a hash function is to provide a unique representation or "digest" of the input data. Hash functions are widely used in various areas of computer science and cryptography.

Here are some key properties and characteristics of hash functions:

Deterministic: A hash function always produces the same hash value for the same input. Given the same input, the output will be consistent and predictableFixed output size: Hash functions produce a fixed-size output, regardless of the size of the input. For example, a commonly used hash function, SHA-256 (Secure Hash Algorithm 256-bit), always produces a 256-bit hash valuePreimage resistance: Given a hash value, it should be computationally infeasible to determine the original input. In other words, it should be extremely difficult to reverse-engineer the input data from its hash valueCollision resistance: A good hash function should minimize the probability of two different inputs producing the same hash value. This property is important to ensure the integrity and security of hash-based applicationsEfficiency: Hash functions should be computationally efficient to calculate the hash value for any given input. They should also have a uniform distribution of hash values to avoid clustering or bias.

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noooo plssschvwekjshdjkshdjkshdjksahdk

Answers

Huh? Kffjkdkdodjenxkrkdkre

Answer:

chehdhfhfhd

Explanation:

fjrjshrhdhr

Draw a sinusoidal signal and illustrate how quantization and sampling is handled by
using relevant grids.

Answers

Answer: Your mums gay

Explanation: Your mums gay

An intelligence signal is amplified by a 65% efficient amplifier before being combined with a 250W carrier to generate an AM signal. If it is desired to operate at 50% modulation, what must be the dc input power to the final intelligence signal amplifier

Answers

Answer:

"192.3 watt" is the right answer.

Explanation:

Given:

Efficient amplifier,

= 65%

or,

= 0.65

Power,

\(P_c=250 \ watt\)

As we know,

⇒ \(P_t=P_c(1+\frac{\mu^2}{2} )\)

By putting the values, we get

        \(=P_c(1+\frac{1}{2} )\)

        \(=1.5 \ P_c\)

Now,

⇒ \(P_i=(P_t-P_c)\)

        \(=1.5 \ P_c-P_c\)

        \(=\frac{P_c}{2}\)

DC input (0.65) will be equal to "\((\frac{P_c}{2} )\)".

hence,

The DC input power will be:

= \(\frac{250}{2}\times \frac{1}{0.65}\)

= \(\frac{125}{0.65}\)

= \(192.3 \ watt\)

due at 11:59pm please help

Which of the items shown in the photo were developed using engineering design processes to develop a solution to a problem?

A. computer
B. coffee cup
C. table
D. pen

An engineer proposes that a newly developed chemical could be sprayed from aircraft to slow the rate of burning in a forest fire. What is the next step the engineer is likely to take to develop a solution to fighting forest fires?

A. test a number of similar chemicals

B. spray and compare the effectiveness of each tested chemical to water.

C. add the chemical to all aircraft spray tanks.

D. design a spray system for the chemical.

Answers

I believe it’s c table

true or false? what is a clock.

Answers

Answer:

tralse

Explanation:

it just makes sense yk what I mean XD

im a genius.. brain.ly everyday,

Answer:

true or false makes no sense

Explanation:

a clock is something u use to tell time, like u look at it and be like omg my mom is getting old lol

The fuel reduction zone, "Reduced Fuel Zone", is the remaining __________ and will depend on the steepness of your property and the vegetation.

Select one: a. 70 feet (or to property line) b. 450 feet (or to property line) c. 60 feet (or to property line) d. 30 feet (or to property line)

Answers

The fuel reduction zone, "Reduced Fuel Zone", is the remaining 30 feet (or to property line) and will depend on the steepness of your property and the vegetation. The correct answer is option d. 30 feet (or to property line).

Reduced Fuel Zones (RFZs) are areas of vegetation and fuel that have been managed or modified to reduce their flammability and to create fuel breaks. The objective is to remove or minimize the fuel load, as well as the continuity and distribution of fuel throughout the landscape.RFZs assist firefighters in controlling fires, particularly those that are moving rapidly, because they allow for a reduction in the fire's intensity, speed, and potential to spread. In fire suppression operations, RFZs are frequently used as safety zones for firefighters and as areas where strategic fire control operations, such as burning operations, can be conducted to bring the fire under control.In conclusion, the Reduced Fuel Zone (RFZ) is the remaining 30 feet (or to property line) and will depend on the steepness of your property and the vegetation.

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what can be used to relieve stress in a weld.

Answers

Yes , of course you can

One of the principles of supply chain strategy

Answers

The principle of supply chain strategy is Segregate customers on the basis of service needs of different  groups and follow the supply chain to deliver   goods and services to the consumers profitably.

What is supply chain?

Supply chain is the group of activities performed by an organization to deliver goods and services to the consumer end.

Thus, one of the principle of supply chain strategy is separate the customers on the basis of service needs of different  groups and follow the supply chain to deliver goods and services to the consumers so that they earn profit.

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At the command prompt, change to the Documents
directory and display the contents of . Enter the
flag
number displayed.

Answers

The command cd is used to change the current directory to another directory, in this case, the Documents directory. The command dir is used to display the contents of the current directory, which is now the Documents directory.

To change to the Documents directory and display the contents of the directory, enter the following commands at the command prompt: cd Documentsdir

The command cd is used to change the current directory to another directory, in this case, the Documents directory. The command dir is used to display the contents of the current directory, which is now the Documents directory. When you enter the dir command, a list of the contents of the Documents directory will be displayed, including files and directories. Each file and directory is assigned a flag number, which is used to identify it. You will need to locate the flag number of the file or directory you want to interact with in order to perform additional commands on it.To find the flag number of a file or directory, locate the left-most column of the item's name in the list generated by the dir command. This column contains the flag number of the item, which is a number that uniquely identifies it in the directory. The flag number is used in conjunction with other commands to interact with the item.

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Contain information from credible sources. (Only use credible sources when researching topics. A credible source provides accurate information on the subject matter. If you are using information from a blog, identify the author and check to see if the author is an expert in the field. Some credible sources are government agencies (.gov) educational articles (.edu), and mental health journals. If you are unsure of whether a website is credible, identify the author and see if the person/organization is an expert. Do not use Wikipedia as a source. Wikipedia has advice, opinions, and information from a variety of people, some of who are not experts in the field and may be providing incorrect information.) If you are not sure about a website, ask the instructor for help.
contain at least six credible sources
contain a reference page listing all sources used for the project

Answers

Answer:

The answer could be correct

Explanation:

According to your explanation this would really help out the Analyze the example of this band saw wheel and axle. The diameter of the wheel is 14 inches. The diameter of the axle that drives the wheel is 3/4 inch. The actual force needed to cut through a one-inch-thick softwood board is 1.75 pounds. Consider the efficiency of this band saw to be 22%.

Questions: Calculate ideal mechanical advantage when the effort force is applied to the axle.

Questions: considering the efficiency calculate the actual mechanical advantage of the wheel and axle.

Questions: If you used the same wheel and axle in a different way and applied effort force to the wheel to drive the axle, what is the ideal mechanical advantage of the wheel and axle?

A building 220ft tall casts a 90ft shadow. if a person looks down from the top of the building

Answers

If a person looks down from the top of the building, they would see the shadow extending 90ft from the base of the building. The height and shadow length can be used to calculate angles and distances using trigonometry if needed.

However, it's important to note that the person's viewpoint is at the top of the building, which is 220 feet above the ground. So, the shadow they see will start from their position at the top of the building and extend downward for a distance of 90 feet.

In other words, the person looking down from the top of the building would see a shadow that reaches from their position at a height of 220 feet to the ground, covering a vertical distance of 90 feet.

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What effect did the Ice Age have on early humans

Answers

Answer:

The development of homosapiens

Explanation:

People adapted to the harsh weather by creating tools and used land bridges to spread to new regions

Should the headlights fail completely, the driver should first:

A. Pull off the road
B. Drive to a service station
C. Shlow down and try to keep the car on the pavement until speed is reduced

Answers

If the headlights fail completely, the driver should first pull off the road. Driving without headlights is extremely dangerous, especially at night or in low-light conditions.

Pulling off the road to a safe location, such as a parking lot or rest area, can help prevent accidents and keep the driver and passengers safe.

It is important to remember that turning on the emergency flashers does not provide sufficient lighting to drive safely in the dark. If the headlights fail, the driver should also turn on the emergency flashers to alert other drivers of their presence, but this does not substitute for proper headlights.

Once the driver has safely pulled off the road, they should assess the situation and determine the best course of action, such as calling for assistance or attempting to fix the problem if possible. It is important to prioritize safety and not attempt to drive without functioning headlights.

 

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A transformer reads zero volts across the output terminals. The cause is most likely ___________________.

Answers

Explanation:

Nothing applied at input terminals, DC voltage applied at input, broken windings (I would say most likely) , defective test equipment are all possibilities

Divide. Give the exact answer, written as a decimal. 5) 3.6​

Answers

Answer:

I believe the answer is 0.138

Nec ________ covers selection of time-delay fuses for motor- overload protection.

Answers

Nec Article 430 covers selection of time-delay fuses for motor- overload protection.

What article in the NEC covers motor overloads?

Article 430 that is found in  National Electrical Code (NEC) is known to be state as “Motors, Motor Circuits and Controllers.” .

Note that the article tells that it covers areas such as motors, motor branch-circuit as well as feeder conductors, motor branch-circuit and others.

Therefore, Nec Article 430 covers selection of time-delay fuses for motor- overload protection.

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Indiana Jones needs to ascend a 10 m high building. There is a large hose filter with pressurized water hanging down from the building top. He builds a square platform and mounts for 4 cm diameter nozzles pointing down at each corner. By connecting hose branches, a water jet with 15m/s velocity can be produced from each nozzle. Jones the platform and the nozzles have a combined mass of 150 kg.

Indiana Jones needs to ascend a 10 m high building. There is a large hose filter with pressurized water

Answers

Velocity needed to the system is 14 m / s

What is velocity?

The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).

Let's use energy conservation as our starting point for this practice. On the ground right as you accelerate out Em0 = K = 12 m v2. No speed when on the building's roof.

Em f = U = m g h: conservation of energy

Em0 = Em f 12 m v2 = m g h v = u u = sqrt2 g h sqrt2 = 9.8 sqrt2 = 10

u = 14 m / s

Various Velocity Types are:

uniform speed.Variable Speed.Average Speed.Velocity that is immediate.

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Q#3:(A)Supose we extend the circular flow mode to add imports and export copy the circular flow digram onto a sheet paper and then add a foreign country as athird agent.Draw a through sketch of the flows of imports exports and the payment for each on your digrams?

Answers

Answer & Explanation:

Circular Flow model denotes how goods & services, factor incomes & prices move within sectors of economy.

A closed economy has two sectors - households & firms, having following features of circular flow between them:

Households provide factor services to firms , & get factor payments from firms in returnFirms provide goods & services to households, & get prices for households in return

In case of open economy - with rest of world & foreign country, exports & imports also come in circular flow.

Firms export to foreign ROW, receive export payments from them. Households, firms import from foreign ROW, pay their import payments to them.
Q#3:(A)Supose we extend the circular flow mode to add imports and export copy the circular flow digram

Determine the length of welds required to transmit a load 54.5 KN between 12.7mm. thick plates, when the plates are to be joined by 1) Two parallel fillet welds. 2) Two transverse fillet welds.

Answers

For the parallel fillet weld, the length required is 24.52mm and for transverse fillet welds, the longer fillet weld required is 24.39 mm and the length of the shorter fillet weld required is 6.13 mm.

What is the length to transmit the load

The length of weld required to transmit a load between two plates depends on the type of weld used and the strength of the material being welded. For the given scenario:

Two parallel fillet welds:

The length of each fillet weld required can be calculated using the following formula:

L = (2 x F x P) / (0.7 x T)

where L is the length of each fillet weld, F is the applied force (54.5 KN), P is the perimeter of the weld (2 x length of the joint), T is the thickness of the plate (12.7 mm), and 0.7 is a constant. Substituting the values, we get:

L = (2 x 54.5 x 2) / (0.7 x 12.7) = 24.52 mm

Therefore, the length of each fillet weld required is 24.52 mm.

Two transverse fillet welds:

The length of each fillet weld required in this case can be calculated using the same formula as above, but with the perimeter of the weld being the sum of the lengths of the two sides being welded. Since the two fillet welds are transverse, their lengths will be different. Assuming one fillet weld is longer than the other, we can calculate their lengths as follows:

L1 = (F x P1) / (0.7 x T)

L2 = (F x P2) / (0.7 x T)

where L1 and L2 are the lengths of the two fillet welds, P1 and P2 are the perimeters of the two sides being welded, and all other variables are the same as before. We can assume that the longer fillet weld is on the side with the higher applied force, so we have:

P1 = 2 x length of joint

P2 = length of joint

Substituting the values, we get:

L1 = (54.5 x 2 x 2) / (0.7 x 12.7) = 24.39 mm

L2 = (54.5 x 1) / (0.7 x 12.7) = 6.13 mm

Therefore, the length of the longer fillet weld required is 24.39 mm and the length of the shorter fillet weld required is 6.13 mm.

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1. a major reason for the projected shortage of trained craft professionals is
a. construction salaries are too low
b. technology has eliminated many construction careers
c. demand for construction projects is declining
d. the retirement of baby boomers

Answers

A major reason for the projected shortage of trained craft professionals is that: b. technology has eliminated many construction careers.

What is computing?

Autonomic computing can be defined as a process which involves the use of both computer hardware and software to manage, analyze, and process, so as to complete a goal-oriented task.

Also, autonomic computing systems are self-managing and it is similar in operations with the autonomic nervous system in humans, and as such it can be used in construction projects and assembly lines for optimum automated production.

In conclusion, automation technology through robots, smart machines and computers has reduced the need for people in many jobs, including trained craft professionals.

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Programming Challenge (20 Points) This program will help use to remember how to access the elements in an array using both subscript and pointer notation. Write a program that creates an array of integers based on the number of elements specified by the user. The value of each element should be the subscript of the array 1 element. Call a function, showArray which accepts a pointer variable and a size, to display the values of the array using pointer notation. Then, main() calls the function, reverseArray which accepts the int array and size and creates a copy of the original array except that the element values should be in reverse order in the copy. The function then returns the pointer to the new array. Call the function, showArray again, to display the values of the reverse array using pointer notation. The output should look something like this:

Answers

Here's a C++ program that fulfills the requirements of the challenge:

#include <iostream>

void showArray(int* arr, int size) {

   for (int i = 0; i < size; i++) {

       std::cout << "Element " << i << ": " << *(arr + i) << std::endl;

   }

}

int* reverseArray(int* arr, int size) {

   int* reversedArr = new int[size];

   for (int i = 0; i < size; i++) {

       reversedArr[i] = *(arr + size - 1 - i);

   }

   return reversedArr;

}

int main() {

   int size;

   std::cout << "Enter the number of elements in the array: ";

   std::cin >> size;

   int* arr = new int[size];

   for (int i = 0; i < size; i++) {

       arr[i] = i;

   }

   std::cout << "Original Array:" << std::endl;

   showArray(arr, size);

   int* reversedArr = reverseArray(arr, size);

   std::cout << "Reversed Array:" << std::endl;

   showArray(reversedArr, size);

   // Clean up dynamically allocated memory

   delete[] arr;

   delete[] reversedArr;

   return 0;

}

Explanation:

The program prompts the user to enter the number of elements they want in the array and stores the value in the size variable.

An array arr of integers is dynamically allocated with the size provided by the user. Each element of the array is assigned the value of its subscript.

The showArray function is called with arr and size as arguments to display the values of the array using pointer notation. The function iterates over the elements using a pointer and prints their values.

The reverseArray function is called with arr and size as arguments. It creates a new dynamically allocated array reversedArr and assigns the elements of arr in reverse order.

The showArray function is called again with reversedArr and size to display the values of the reversed array using pointer notation.

Dynamically allocated memory for arr and reversedArr is released using the delete[] operator to avoid memory leaks.

The program first displays the original array using pointer notation and then displays the reversed array.

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Describing if the structure is low-level or high-level abstraction. Summarizing how each structure functions individually and part of the larger system. Describing the similarities between each side-by-side structure (i.e. how is a cell similar to a transistor

Answers

Answer:

[FIRST 2 SO FAR]

Explanation:

1. The cell and the transistor would be considered to be the lowest level of abstraction. This is because they are the smallest, basic building blocks that make up these structures.

The cell makes up the parts of the body and the transistors make up the computer. The cells take in nutrients from food, converts the nutrients into energy, and carry out specialized functions. Cells move around to convert chemical energy into mechanical energy, allowing the body to move. The transistors are like switches that turn on and off electric current (by controlling the movement of electrons, either stopping or starting the current). They store and move data from one place to another, allowing the computer or device to work.

These two structures are both the smallest part that makes up the main structure. They allow the larger structure that they are contained in to function by doing small tasks/activities in the structure.

2. The Tissue and Logic Gate are a lower-level abstraction because the are composed of smaller structures.

Tissues are groups of cells that perform one or more specific functions. Tissues (enforced by the cells) can control the movement of information that is spread through the surface of the body, protect and support organs, and allow entire body movement. Logic gates are the basic building blocks of digital system that can have more than one input and only one output. These input and output functions are determined by using logic, with the gates being named And, Or, and Not.

The two structures are similar because they allow the movement of something to flow through the bigger structure, allowing the structure to function. Logic Gates control the actions of the transistors by taking in multiple inputs, then uses logic to tell the transistor to turn on or off an electric current.

Which of the following is considered an occupancy area and must be included in residential load calculations?

Answers

In residential load calculations, a bedroom is considered an occupancy area and must be included.

What is a Bedroom?

It is a designated living space within a residential dwelling where individuals sleep and spend extended periods. Garages, storage sheds, and backyard patios are typically not considered occupancy areas for load calculations, as they are not commonly used as living spaces.

However, it's important to note that specific building codes and regulations may vary, so it's advisable to consult local guidelines for accurate information pertaining to your region.

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The Complete Question

Which of the following is considered an occupancy area and must be included in residential load calculations?A garageA storage shedA backyard patioA bedroom

Match the words in the left column to the appropriate blanks in the sentences on the right. Note that some words may be used more than once and some may not be used.
1. breaking
2. forming
3. positive
4. negative
5. twice
6. half
A. The reaction involves___five blue-blue and twenty blue-red bonds and then____twenty blue-red bonds. Enthalpies for bond breaking are always_____.
B. In the depicted reaction, both reactants and products are assumed to be in the gas phase. There are___as many molecules of in the products, delta S is___for this reaction

Answers

Answer:

A. Breaking; forming; positive.

B. Twice; half.

Explanation:

A. The reaction involves breaking five blue-blue and twenty blue-red bonds and then forming twenty blue-red bonds. Enthalpies for bond breaking are always positive.

B. In the depicted reaction, both reactants and products are assumed to be in the gas phase. There are twice as many molecules of gas in the products, delta S is half for this reaction.

Bond enthalpy refers to the amount of energy that is required to break a mole of a particular bond and it's an endothermic reaction, therefore it is always positive.

However, bond forming is always an exothermic reaction because energy is released, therefore, it is always negative. This simply means that, the breaking of a bond is an endothermic reaction (positive) while the formation of a bond is an exothermic reaction (negative).

Match the words in the left column to the appropriate blanks in the sentences on the right. Note that

public class person { private char gender; static int number; //... public static void main(string[] args) { person person; //... } public static void callperson(int hours) { double payrate

Answers

Java code can be written, run, and shared online for free with One Compiler's Java online compiler.

It uses Java LTS version 17, making it one of the reliable, feature-rich online compilers for the Java language. The Java editor in the OneCompiler is quick and simple to use. When you start coding in Java, the editor displays examples of boilerplate code.

public class Main

{

static int num=50;

static void testMethod()

{

num=num+10;

}

public static void main(String[] args) {

//TODOAuto-generatedmethodstub

Main m=new Main();

m.num=20;

testMethod();

System.out.println(num);

}

}

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A cube of edge 4 inches is cut by a plane containing 2 diagonally opposite edges
of the cube find the area of the section formed.

Answers

Answer:

 So its area A = 4 * 4sqrt(2) = 16sqrt(2) inches^2

Explanation:

In order to find the area of the section, we need to find the length of one of the diagonals.

Using the Pythagorean Theorem, a^2 + b^2 = c^2, we pick any side of the cube which in

itself is a square with sides 4 inches each.  The length of the diagonal of the square is

2(4^2) = c^2  or c = 4sqrt(2).

To calculate the area of the section, we must first determine the length of one of the diagonals. Using the Pythagorean Theorem, \(\bold{a^2 + b^2 = c^2}\), one selects any side of the cube which in its a square with four-inch sides.

The diagonal of a square has a length:

           \(\to 2(4^2) = c^2 \\\\ \to c = 4\sqrt{(2)}\)

A section is now a rectangle with sides 4 and \(4\sqrt{(2)}\). So its area

      \(\to A = 4 \times 4\sqrt{(2)} = 16\sqrt{(2)}\ inches^2\)

Therefore, the answer is "\(\bold{ 16\sqrt{(2)}\ inches^2}\)".

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(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?

Answers

a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.

(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.

To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.

To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.

(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.

Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.

To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.

For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.

For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.

For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.

For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.

For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.

For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.

For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.

For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.

For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.

For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.

For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.

Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.

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This car is parked. The engine is off and there is no music playing, What energy is currently in use?

Answers

Answer:

Potential energy

Explanation:

"Potential energy" is a type of energy an object has when it's at rest or in this case not moving. The car is parked, and the engine is off, that means there is no electrical, kinetic, thermal, or mechanical energy in play since the engine isn't running and the car isn't moving. The radio is off too so that means there is no sound energy or electric energy (again) in play either. You are just parked with the car completely shut off, but you do have the potential to move the car by turning on the engine and start driving, which means potential energy is currently in use.

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