prove that among any set of 51 different positive integers that are at most 100, there is always a pair of numbers that differ by 10.

Answers

Answer 1

Since each subset contains a pair of numbers that differ by 10, and the subsets are disjoint, it follows that there is always a pair of numbers in the original set that differ by 10.

What is pair?
An ordered pair (a, b) is indeed a pair of objects in mathematics. Because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b, the order in which the objects appear inside the pair is important. The unordered pair a, b, on the other hand, equals the unordered pair b, a. Ordered pairs are also known as 2-tuples, or 2-length sequences. 2-dimensional vectors are sometimes used to refer to ordered pairs of scalars. The definition of ordered n-tuples is recursive since the entries of an ordered pair may be other ordered pairs (ordered lists of n objects). One pair nested inside another is how the ordered triple (a, b, c) might be defined, for instance.

Consider the set of numbers {1, 2, 3, ..., 51}. We can partition this set into the following subsets:
{1, 11, 21, 31, 41, 51}
{2, 12, 22, 32, 42, 52}
{3, 13, 23, 33, 43, 53}
.
.
.
{10, 20, 30, 40, 50, 60}

Since each subset contains a pair of numbers that differ by 10, and the subsets are disjoint, it follows that there is always a pair of numbers in the original set that differ by 10.

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Related Questions

a person that can use html, css, and javascript to create websites (as well as service the website and manage user accounts) is known as which of the following?

Answers

A person who can construct websites using HTML, CSS, and JavaScript (as well as maintain the website and handle user accounts) is referred to as a web developer.

What is website?
A website, often known as a web site, is a collection of web pages or related material that is published on for at least one web server and given a shared domain name. The World Wide Web is the collective name for all publicly accessible websites. A company's internal website because of its employees is an example of a private website that can only be accessed via a private network. Most websites focus on a single subject or objective, including news, education, business, entertainment, and social networking. The navigation of a website, which frequently begins with a home page, is aided by hyperlinks between web pages. On a variety of gadgets, including PCs, laptops, tablets, and smartphones, users can visit websites. A web browser is the name of the application used on these gadgets.

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13.when circuit breakers are classified as 100a through 2,000a frames, these numbers are normally referred to as the .

Answers

These figures are typically referred as the frame size when circuit breakers are categorised as 100a through 2,000a frames.

What is frames?
A frame is a digital data transfer unit used in telecommunication and computer networking. A frame is merely a straightforward container for a single network packet in packet switching systems. A frame is a repeating structure that supports time-division multiplexing in other telecommunications systems. The beginning or end of the payload data inside the stream of symbols and bits that the receiver receives are often indicated by a series of bits or symbols called frame synchronisation characteristics. When a frame is transmitted, a receiver connected to the system ignores the information until it notices a fresh frame synchronisation sequence.

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A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. (a) at time t=c, at what rate is the area of the circular cross section of the clay decreasing with respect to time? show the computations that lead to your answer. Indicate units of measure.

Answers

The rate [tex]\frac{dr}{dh} = - \frac{r}{2h}[/tex]  iat which the area of the circular cross section of the clay decreasing with respect to time.

Step-by-step explanation of the given problem:

The formula for calculating a cylinder's volume is: V = πr²h,

Where V is the volume, r is the cylinder's radius, and h is the cylinder's height.

The rate of change of the radius of the clay with respect to the height of the clay is to be expressed in terms of height h and radius r.

That is, dr / dh is expressed in terms of height h and radius r. To do so, we must first differentiate the volume from the height, i.e. find dV / dh:

V = πr²h

dV/dh = d/dh(π[tex]r^{2}[/tex]h)

dV/dh = π[tex]r^{2}[/tex] + 2πrh (dr/dh)

The volume is constant, hence dV/dh = 0.

We get,

0 = π[tex]r^{2}[/tex]h

dV/dh = π[tex]r^{2}[/tex] + 2πrh (dr/dh)

-π[tex]r^{2}[/tex] = 2πrh (dr/dh)

dr/dh = - π[tex]r^{2}[/tex]/2πrh

dr/dh = - r/2h

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one of the differences between high density polyethylene (hdpe) and low density polyethylene (ldpe) is the higher crystallinity of ldpe.

Answers

The answer of polythylene is true.

What is polythylene?

Polyethylene or polythene is the most commonly made plastic. It is a polymer that is mostly used for packaging. In 2017, approximately 100 million tonnes of polyethylene resins were manufactured annually, accounting for 34% of the overall plastics market. Eric Fawcett and Reginald Gibson at the Imperial Chemical Industries (ICI) facilities in Northwich, England, unexpectedly found the first industrially feasible polyethylene synthesis (diazomethane is a very unstable compound that is normally avoided in industrial application). When a mixture of ethylene and benzaldehyde was subjected to extremely high pressure (several hundred atmospheres), a white, waxy substance was created.

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Saws with fine blades that are excellent for delicate and intricate cutting are called.

Answers

Saws with fine blades that are excellent for delicate and intricate cutting are called saber saws.

The sabre saw is a motorized reciprocating hand-held saw. It resembles a jigsaw but is bigger.

The toothed blade of the sabre saw is mostly used to cut through soft materials like wood. The sabre saw's controllability is drastically decreased because it lacks the big sole plate that a jigsaw has. commonly referred to as a reciprocating saw or sawzall.

Smooth contour cuts can be made with or against the grain with the saber saw. The saber saw is a versatile and practical tool for quickly cutting and shaping wood, plastic, and even metal.

In the marketplace, the terms "jigsaw" and "sabre saw" appear to be interchangeable.

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when a consequence is provided contingent upon a learner engaging in appropriate behavior and that appropriate behavior is more likely to occur in the future is best described by which of the following?

Answers

When a consequence is provided contingent upon a learner engaging in appropriate behavior and that appropriate behavior is more likely to occur in the future is best described by reinforcement.

When a certain antecedent stimulus precedes a behavior, an organism's future behavior will be strengthened through the application of reinforcement. This strengthening effect may be quantified as increased behavior (e.g., drawing a lever more frequently), increased duration (e.g., pushing a lever for an extended period of time), increased magnitude (e.g., pulling a lever more firmly), or decreased latency (e.g., pulling a lever more quickly following the antecedent stimulus).

Self-awareness, self-reflection, and self-regulation are the three key tenets of the self-regulation paradigm of human behavior. Historically, rewards have correlated with self-regulation. Although the result may have an impact on the behavior, behavior also requires antecedents. Positive reinforcement, negative reinforcement, extinction, and punishment are the four different types of reinforcement.

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the mail theft reporting system aims to identify patterns in mail theft across geographic regions as well as compile ____relating to mail theft victims and monetary losses.

Answers

The goal of the mail theft reporting process is to spot trends in mail theft across different geographical areas as well as compile data pertaining to victims of mail theft and financial losses.

What is mail?
A system for physically delivering postcards, letters, and packages is known as the mail or post. Public or private postal services are both available, albeit many governments have limits on the former. National postal services have often been formed as a government monopoly since the middle of the 19th century, with a fee just on article prepaid. A postage metre is also used for bulk mailing, but adhesive postage stamps are typically used as proof of payment. The term "snail mail" was first used when email first became popular. In addition to conveying mail, postal authorities frequently perform other duties. In some nations, a postal, telegraph, & telephone (PTT) service also manages the telephone and telegraph networks in addition to the postal system. Some nations' postal services process passport applications as well as savings account applications.

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when a function finishes executing, it returns a value back to the part of the program that called it. True or False

Answers

It's true that when a function finishes executing, it returns a value back to the part of the program that called the function.

Returning control to the calling function terminates the execution of the function. Immediately after the call, the execution is raised back in the caller's function. The calling function can get a value from the return statement. See Return Type for more details.

The calling function receives the value of the expression if it exists. If the expression is omitted, the return value of the function is undefined. If an expression is given, it is evaluated before being converted to the type returned by the function. The compiler issues a warning and does not evaluate an expression when the return statement in a function with return type void contains an expression.

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How is the national saving in an open economy calculated?

Answers

The national savings in an open economy is calculated by adding private savings, public savings, and net capital inflows.

What is economy?

The creation, distribution, and exchange of goods and services, as well as their consumption, constitute the economy. It is broadly defined as a "social realm emphasising actions, discourses, and material expressions associated with the development, use, and management of finite resources." A given economy is a set of activities with primary variables such as culture, values, education, technological evolution, history, social organisation, political structure, legal systems, and natural resources. These factors provide context and content, as well as the conditions and parameters that govern an economy. Alternatively, the economic sphere is a social world of interconnected human activities and transactions that does not exist in isolation.

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technician a says that instrument panel warning lamps can indicate faults with various systems on the vehicle. technician b says that instrument panel warning lamps can indicate proper operation of various vehicle systems. who is correct?

Answers

Both technicians are correct in saying that warning lamps on the instrument panel can both signal a problem with a vehicle's systems and show that those systems are functioning properly.

Your automobile uses the dashboard warning lights to let you know when something is wrong, whether it's a door that wasn't closed properly or the dreaded check-engine light. They shine briefly when your car or truck warms up each time you start it, checking that all systems are secure and ready to drive. A light appears on the dashboard of the car when one or more sensors detect a part of it that isn't operating according to plan, signaling a problem that needs to be fixed. Comparable to a home's electrical fuse panel. As soon as you can, stop and turn off the engine if these lights start to appear. The check engine light in some vehicles may be red.

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which type of nozzle can be driven through stucco, block, wood, or lightweight steel to access fires in concealed spaces?

Answers

To reach flames in hidden locations, a piercing nozzle can be pushed through stucco, brick, wood, or lightweight steel.

A nozzle is a tool used to change the properties of a fluid flow as it leaves (or enters) a closed chamber or conduit, particularly to enhance velocity.

A nozzle is often a pipe or tube with a variable cross sectional area that is used to control, direct, or alter the flow of a fluid (liquid or gas).  Nozzles are widely used to regulate the stream that emerges from them in terms of flow rate, speed, direction, mass, form, and/or pressure.

A nozzle designed to propel gas or liquid into the environment in a coherent stream is known as a gas jet, fluid jet, or hydro jet. Gas stoves, ovens, and grills frequently have gas jets. Before the invention of electric light, gas jets were frequently employed as sources of illumination. Other varieties of fluid jets may be seen in spas and jacuzzis, where smooth, calibrated orifices are utilised to control the flow of fuel into an engine.

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stimate the theoretical fracture strength (in mpa) of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length 0.25 mm that has a tip radius of curvature of

Answers

Theoretical fracture strength  of a brittle material if it is known that fracture occurs by the propagation is 16760 Mpa

б₀(stress)=1060Mpa

radius of the curvature =0.004 mm

surface of crack =0..25 mm

бmax=2б₀√a/s

=2*1060*√0.25/0.004

бT.F.S =16760 Mpa

According to the type of applied loading, such as tensile, compressive, or bending, a material's fracture strength—or ability to withstand failure—is explicitly determined. According to the Griffith equation, beta alumina's fracture strength F is correlated with the stress required to propagate a microstructural fault. σF=(2EγiπC)1/2 where C is the half-length (radius) of the strength-controlling fault and E stands for Young's modulus, I for fracture surface energy, and I for the fracture energy. The stress at the site of rupture is expressed as the fracture strength, also known as the breaking strength. The stress value at which the test specimen splits into two different pieces is known as the tensile strength test stress value. The cross-sectional area at the fracture divided by the load at the fracture represents the genuine fracture stress.

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Name in each case two advantages and two disadvantages of the abovementioned( distillation, stripping ) thermal separation processes.

Answers

Thermal distillation and stripping are two processes used in substance separation and purification. Both processes of separation and purification have advantages and disadvantages.

What is Thermal distillation?

Thermal distillation involves heating a mixture and condensing the resulting vapors to form a pure product. This method can purify a wide range of substances, including water, alcohol, and other volatile liquids.

What is Stripping?

The stripping process is used to separate metal from scrap or ore in order to obtain pure metal in the form of a pellet or ingot. It is a technique for purifying a substance. The process of removing impurities from metals, ores, or other substances.

Advantages of distillation:  

It is possible to use it to purify liquids.It is capable of separating liquid mixtures.

Disadvantages of distillation:

It takes a lot of energy.Slowness is possible.

Advantages of stripping:  

It is capable of removing volatile impurities from liquids.Is a fairly simple procedure

Disadvantages of stripping:  

It may be less efficient than distillation.Some impurities may be left behind.

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2. (a) a three-point transverse bending test is conducted on a cylindrical specimen of aluminum oxide having a reported flexural strength of 390 mpa (56,600 psi). if the specimen radius is 2.5 mm (0.10 in.) and the support point separation distance is 30 mm (1.2 in.), predict whether or not you would expect the specimen to fracture when a load of 620 n (140 lbf) is applied. justify your prediction. (b) would you be 100% certain of the prediction in part (a)? why or why not?

Answers

Since, Our calculated value of flexural length 373(Mpa) is less than 390(MPa) value therefore fracture is not predicted. Hence, Specimen will not fracture.

What is Flexural Length?

Flexural strength is a measure of concrete tensile strength. It is the ability of an unreinforced concrete beam and slab to withstand bending failure. Loading 6 x 6-inch (150mm x 150 mm) concrete beams with span length at least three times the depth is used to determine it. Flexural strength is measured using standard test methods which is ASTM C 78 (third-point loading) / ASTM C 293 and is expressed as Modulus of Rupture (MR) in psi (MPa) (center-point loading).

Depending on the type, size, and also volume of coarse aggregate used, flexural MR ranges from 10 to 20% of compressive strength. However, laboratory tests of given materials, mix design yield the best co - relation for specific materials. The MR calculated by third-point loading is lower, sometimes by as much as 15%, than the MR ascertained by center-point loading.

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Q15
List any four (4) new technologies applicable to the material engineering and
application of induction motors.
a) List two under material engineering.
b) List two under applications.

Answers

(a) Two new technologies applicable to material engineerings are Nanotechnology, Additive Manufacturing.

(b)Two new technologies application of induction motor are Pumps,

Compressors.

What do you understand by material engineering?

Math, physics, and chemistry are the instruments that materials engineers employ to investigate, comprehend, and regulate the behavior of materials. We use that information to create new materials, determine the best ways to use already-existing materials and processing methods, and provide reasons why some materials failed.

What do you understand by Induction motor?

An induction motor, also known as an asynchronous motor, is an AC electric motor in which the magnetic field of the stator winding is used to electromagnetically induct the electric current into the rotor necessary to produce torque. Therefore, it is possible to construct an induction motor without electrical connections to the rotor.

A structure, device, or system that is created, produced, or used by manipulating atoms and molecules at the nanoscale, or having one or more dimensions of the order of 100 nanometers (100 millionth of a millimeter) or less, is referred to as nanotechnology.

The method of producing an object layer by layer is known as additive manufacturing. It is the reverse of subtractive manufacturing, which involves removing small amounts of a solid block of material at a time until the finished item is produced.

For commercial and industrial pumping applications, three-phase alternating current (AC) induction motors are more typical than single-phase motors. Among the causes are: A three-phase motor's individual phase current is less than 60% of that of a comparable single-phase motor.

A pneumatic device known as an air compressor transforms power (from an electric motor, diesel or gasoline engine, etc.) into potential energy stored in pressurized air. An air compressor raises the pressure in a storage tank by using one of several techniques to push more and more air into the container.

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usgs stream-gauging stations record water depth, , and channel in order to calculate the discharge of the stream.

Answers

USGS stream-gauging stations record water depth and velocity and channel width in order to calculate the discharge of the stream.

Water discharge is used as a support for people's lives in the form of liquid substances. Water has the most important role in human needs. Water discharge is very closely related to time & volume. Water discharge is the velocity of the flow of liquid through the cross-sectional distance per unit time. Water discharge uses volume units per time or ml/second, liters/second, m³/second, liters/hour, m³/hour, and various other units. Discharge units are often used in monitoring the capacity (capacity) of water in rivers or dams so that the existing water can be controlled.

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which of the following is a windows programming interface that allows computers to communicate across a local area network (lan)? a. Sever Message Block (SMB) b. Null session values. c. SMTP d. NetBIOS e. Stealth Session

Answers

NetBIOS , (Network Basic Input or Output System) is just a network service that allows different computers' applications to communicate with one another over a local area network (LAN).

What is NetBIOS?

On local networks, NetBIOS provides communication services. It employs NetBIOS Frames, a software protocol that enables applications and computer systems on a local area network to interact with network hardware and transfer data across the network.

NetBIOS is a networking industry standard that stands for Network Basic Input/Output System. Sytek invented it in 1983, and it is frequently used there NetBIOS over TCP/IP protocol. It is, however, used in Token Ring networks and by Microsoft Windows.

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suppose you are studying an unknown solution based on its precipitation reactions with other solutions, resulting in this data table. na2so4 nacl na2co3

Answers

Answer:

Ba ( [tex]No_{3}[/tex])2 and  Sr ( NO3))2

from the chart, estimate (roughly) the number of transistors per ic in 2018. using your estimate and moore's law, what would you predict the number of transistors per ic to be in 2040?

Answers

From the chart, it appears that the number of transistors per IC in 2018 is approximately 10 billion. Using Moore's Law, the number of transistors per IC in 2040 would be approximately 160 billion.

What is Moore's Law?
The observation known as Moore's law states that an integrated circuit's (IC) density doubles roughly every two years. Moore's law is a historical tendency that has been observed and projected. It is an empirical relationship connected to production experience gains rather than a physical law. The finding bears the name of Gordon Moore, a co-founder of Fairchild Semiconductor as well as Intel (and a former CEO of the latter), who predicted in 1965 that the number of components in an integrated circuit would double every year and that this rate of growth would last for at least another ten years. He updated his prediction in 1975, looking ahead to the following ten years, to doubling every two years, or a compound annual growth rate (CAGR) of 41%.

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Question 3
You are given a wood beam with the following information:
Base - 6in
Height - 2in
Span Length 7ft
Modulus of Elasticity= 1,820,000 lb/in^2
M
A force is applied to the beam which causes a delta max of 3 inches. The force that would cause this delta max is equal to _____ lbs.

Answers

152,880,000 lbs. When forces are stretching an object and producing its elongation, or when the length change L L is positive, tensile stress and strain occur, compressional tension.

How are wood beams calculated?Find the elastic modulus (E) of your wood beam.Find your beam's area moment of inertia (I), which is equal to I = b d3 / 12 = 1.5 in (7.5 in)3 / 12 = 52.73 inches to the fourth power.Let's say our beam must withstand a 15 pound per inch applied load.When calculating the beem force, the piston surface area and fluid pressure are multiplied by 70, where F is the force in Newtons (N). Piston area (A) is measured in square centimeters (cm2). F = A × P ÷ 70,The length and precise cross-sectional measurements of the 2 x 3 lumber beams should be measured and noted. Calculate the bending section modulus.Base: 6 in. 2 in. 7 ft. 18 20 000 delta152,880,000 lbs.      

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152,880,000 lbs. Tensile stress and strain, as well as compressional tension, occur when forces stretch an object, causing it to elongate, or when the length change L L is positive.

How are wood beams calculated?

When calculating the beem force, the piston surface area and fluid pressure are multiplied by 70, where F is the force in Newtons (N). Piston area (A) is measured in square centimeters (cm2).

Find the elastic modulus (E) of your wood beam.

Find your beam's area moment of inertia (I), which is equal to

I = b d3 / 12 = 1.5 in (7.5 in)3 / 12 = 52.73 inches to the fourth power.

Let's say our beam must withstand a 15 pound per inch applied load.

F = A × P ÷ 70,

The length and precise cross-sectional measurements of the 2 x 3 lumber beams should be measured and noted. Calculate the bending section modulus.

Base: 6 in. 2 in. 7 ft. 18 20 000 delta

152,880,000 lbs.      

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A 6. 00-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end of the beam.

Answers

18816 Nm is the amount of torque applied to the bolt by the worker and the weight of the beam.

The given parameters;

length of steel, L = 6.00 m

mass of steel, m = 500 kg

mass of work, m = 70 kg

The center of gravity of the beam Equals The torque caused by the worker and the weight of the beam is computed as follows:

= [tex]\frac{6.00}{2}[/tex]= 3 m

[tex]T_{t} = T_{1} + T_{2}\\T_{t} = F_{1} r_{1} + F_{2}r_{2}\\T_{t} = m_{1}gr_{!} + m_{2}gr_{2}\\[/tex]

[tex]T_{t} =[/tex](500 ×9.8×3) + (70×9.8×6.00)

[tex]T_{t} =[/tex]18816 Nm

This results in a torque of 18816 Nm being applied on the bolt by the worker and the weight of the beam.

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Using the following source code, answer the questions listed below. (a) Draw a control flow graph to represent the method Fun1, shown above. Label the nodes (starting with
A
) and the outgoing edges of the decision boxes appropriately. (b) Using the line labels in the code for method Fun1, identify all the def-use pairs for the variables
x
, k and
y
. (c) Identify a set of test cases that satisfies the all-defs criterion, for variables
x,k
and
y
in method Fun1. Use trace tables to show how the def-use pairs are covered. If you cannot achieve
100%
coverage for the all-defs criterion please explain why. (d) Identify a set of test cases that satisfies the all-uses criterion, for variables
x,k
and
y
in method Fun1. Use trace tables to show how the def-use pairs are covered. If you cannot achieve
100%
coverage for the all-uses criterion, please explain why.

Answers

A control flow graph to represent the method Fun1  using folloeing source code is here

if (number <0 || digit <0)

return -1

digitcount = 0

while (number >0)

if (number % 10)==digit)

digitcount++

number /=10

return digitcount

When a programmer creates programming statements using a text editor or a visual programming tool, they are typically saved in a file and are referred to as source code. When the source code is combined with a C compiler, an output file known as an object file is created.

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wo technicians are discussing tire puncture repair using a tire patch. technician a says that you should use a tire buffer to smooth the area around the hole. technician b says that a liquid buffing solution should be used to scrub the area just buffed. who is correct? group of answer choices technician a only

Answers

Both technicians a and b are correct because it is correct to use a liquid buffing solution to scrub the area that has just been buffed, but it is also correct to use a tire buffer to smooth the area around the hole when doing tire puncture repair using a tire patch.

How Should You Deal With A Puncture?

The best solution is to take your vehicle to a professional for patching. A professional can quickly locate the puncture, remove the nail/screw, patch the tire, and re-inflate it. This service provides a dependable repair without the hassles or risks associated with other options.

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experiment 8: dissociation constant of acetic acid by electrical conductivity measurements lab example

Answers

The dissociation constant as well as equivalent conductance at infinite dilution, Ao, of a weak electrolyte are computed using only two conductance measurements at different concentration levels. The iterative procedure used on acetic acid data produced the dissociation constant of 1.80 X 10-5 and, an average (n = 4) value of Ao of 389.5, compared to an expected value of 390.7.

What is Electrical conductivity?

Electrical conductivity is just a standard measure of how easily an electric current can flow through a material. Electrical resistivity, on the other hand, attempts to measure how firmly a material resists this same flow of electric current. Both properties are precise inverses of one another. The Greek letter σ denotes electrical conductivity, while the Greek letter ρ denotes electrical resistivity.

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problem 7-9 the beam ab will fail if the maximum internal moment at d reaches 800 n.m or the normal force in member bc becomes 1500 n. determine the largest load w it can support. given:

Answers

The largest load w it can support w Is 100 N/m

What is the w?

Where the shear force is zero, the bending moment reaches its maximum or minimum iii. Where the radius of curvature is zero iv, the bending moment reaches its maximum or least value. The section where the maximum bending moment and shear force occur.

Assume maximum moment occurs at D;;

↺+∑M D =0;M D − 8w /2(4)+ 4w (2) = 0

800=8 w

w=100 N/m

↺+∑M A =0;−800(4)+T BC (0.6)(8)=0

T  BC =666.7 N  < 1500 N

T BC =666.7 N<1 500 N

w =100 N/m

The largest load w it can support w Is 100 N/m.

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Using the given section of the MARIE memory space, 10 points

What will be the AC value if Load 004 instruction is executed?
What will be the AC value if LoadI 004 instruction is executed?
What will be the MAR value if Add 004 instruction is executed?

Answers

Answer:

answer is B

Explanation:

your enterprise recently approved using fingerprint scanners to authenticate employees who access restricted areas. you are assigned to conduct a study on how secure fingerprint authentication is. which of the following should you report?

Answers

You should report that in some rare instances, fingerprint scanners may be utilized in deception.

Biometric security systems include fingerprint scanners. They are utilized in security businesses, police stations, cellphones, and other mobile devices. Everybody's fingers have distinct patterns of friction ridges, and it is this pattern that is referred to as the fingerprint. Fingerprints are distinctively detailed, reliable across a person's lifetime, and challenging to change.

Fingerprints have developed into the best method of identification because there are so many possible combinations. Optical fingerprint scanners, capacitance scanners, ultrasonic scanners, and thermal scanners are the four different categories of fingerprint scanners. Every sort of scanner's fundamental job is to capture an image of a user's fingerprint and look up a match in its database. Dots per inch are used to gauge how well an image of a fingerprint is captured (DPI).

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When we use gearing or some other power transmission system to reduce speed, the system often _______ torque.

answer choices
has the same

gains

looses

none of these

Answers

When we reduce speed by using gearing or another type of power transmission system, the system frequently gains torque.

Gears may appear to be "reduced" in size or quantity at first glance, which is only partially accurate. Gears are frequently utilized to achieve the desired outcome when a rotary machine, such as an engine or electric motor, needs the output speed reduced and/or torque raised.

By dividing the rotational speed of the rotary machine by a gear ratio more than 1:1, the term "gear reduction" explicitly refers to the speed of the rotary machine. A smaller gear (reduced size) with fewer teeth drives a larger gear (increased size) with more teeth, resulting in a gear ratio greater than 1:1.

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in arizona, photovoltaic (pv) panels can generate an average annual power of 1 mw/acre. if there are 305 sunny days per year in arizona, but only 158 sunny days per year in pennsylvania, how much average power (in mw/acre) could the same pv panels generate in pennsylvania? please include two decimal places in your answer. note: assume that a cloudy day delivers 0 watts/acre of solar power. this is not true, but it simplifies the problem for us.

Answers

0.51  MW/acre is the average power (in mw/acre) could the same pv panels generate in pennsylvania.

What is average power?

The average power is the ratio of total effort or activity performed by the body to total time spent by the body. Average power is computed by dividing total energy expended by total time spent.

Given Data :-  

Average annual power generation in Arizona =1MW/acre

Number of sunny days in Arizona per year = 311

Number of sunny days in  Pennsylvania per year=160

To Find:-

Average annual power generation in Pennsylvania = ?

Solution:- As there is zero power generation on a cloudy day we will only calculate for the sunny days.

Therefore by crossmultiplying the values we get,

X = (160 * 1 ) 311

X = 0.51  MW/acre

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a 300 kw, 4.16 kv, 600 r/min, 60 hz, 3-f synchronous motor has a synchronous impedance of 1 1 j5 ohms/phase. the motor delivers rated power and draws nominal current at a power factor of 0.9 leading. its rotational losses are 12 kw. determine:

Answers

At a power factor of 0.9 leading, the motor draws nominal current and outputs rated power. Its average current is 46.26 Amp, and its rotational losses are 12 kw.

Given that the 300 KW , 4:16 KV , 600 r /min , 60HZ

30 , Synchronous motor

Z = i+j5 / phase

P. F = 0.9 leading

Rotational losses = 12 kW

( 1 )

Amature current

P=∛VLcos∅

L=p/∛Vcos∅

300*1000/∛*4.16*1000*0.9

L=46.26 Amp

The winding to which the load is attached is known as the armature. In small generators, the armature windings are frequently on the rotor and the field windings are frequently on the stator. But the majority of large machines have a rotating field and a stationary armature. A series machine's field winding has fewer turns than a separately excited machine's field winding because a machine's armature current is typically much higher than its field current.

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