In a consolidated-drained triaxial test on a clay, the specimen failed at a deviator stress of 18 lb/in2. If the effective stress friction angle is known to be 31°, what was the effective confining pressure at failure?

Answers

Answer 1

the effective confining pressure at failure was 32.6 lb/in2.


In a consolidated-drained triaxial test on a clay, the specimen failed at a deviator stress of 18 lb/in2. To determine the effective confining pressure at failure, we need to use the formula for the Mohr-Coulomb failure criterion, which relates the shear strength of the soil to the effective normal stress and the friction angle.
The formula for the Mohr-Coulomb failure criterion is as follows:
τ = σ' tan(φ) + c
where:
τ is the shear stress or deviator stress
σ' is the effective normal stress
φ is the effective stress friction angle
c is the effective cohesion
Since we are given the deviator stress (τ) and the effective stress friction angle (φ), we can solve for the effective normal stress (σ') at failure. We assume that the soil has no cohesion, i.e. c = 0.
Substituting the given values into the formula, we have:
18 lb/in2 = σ' tan(31°)
Solving for σ', we get:
σ' = 18 lb/in2 / tan(31°) = 32.6 lb/in2
In summary, the effective confining pressure at failure in a consolidated-drained triaxial test on a clay can be determined using the Mohr-Coulomb failure criterion, which relates the shear strength of the soil to the effective normal stress and the friction angle. In this particular case, the effective confining pressure at failure was 32.6 lb/in2.

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Related Questions

What is desktop publishing software

Answers

Desktop publishing (DTP) is the use of personal computers to design books and booklets that are intended to be printed by ink jet or laser printers. The software that supports desktop publishing has a WYSIWYG graphical user interface (GUI) to make the set-up for publishing as easy as possible.

A cylindrical specimen of some metal alloy 10 mm in diameter and 150 mm long has a modulus of elasticity of 100 GPa. Does it seem reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen diameter of 0.08 mm

Answers

Answer:

N0

Explanation:

It does not seem reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen diameter of 0.08 mm

Given data :

Diameter ( d ) = 10 mm

length ( l ) = 150 mm

elasticity ( ∈ ) = 100 GPa

longitudinal strain ( б ) 200 MPa

Poisson ratio ( μ )  ( assumed ) =0.3

Assumption : deformation totally elastic

attached below is the detailed solution to why it is not reasonable .

The Sd value = 0.08 > the calculated Sd value ( 6*10^-3 ) hence it is not reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen

A cylindrical specimen of some metal alloy 10 mm in diameter and 150 mm long has a modulus of elasticity

How does a project differ from an ongoing work effort?

Answers

Answer:

Projects have a fixed budget, while operations have to earn a profit to run the business. Projects are executed to start a new business objective and terminated when it is achieved, while operational work does not produce anything new and is ongoing.

Hope this helped!

What should you do before you start welding?

Answers

Explanation:

1. Weld only in authorized areas. Make sure the area is dry, chemical free, and well ventilated.

2. Inspect the equipment before starting to use it.

3. Keep other people away, unless they are authorized to be there and are wearing the appropriate personal protective equipment.

2. An aluminum (E = 70 GPa) tube of length 8-m is used as a simply supported column carrying a 1.2 kN axial load. If the outer diameter of the tube is 50 mm, compute the inner diameter that would provide a safety factor of 2 on buckling.

Answers

Answer:

1211 N.

Explanation:

Okay, we are given the following data or parameters or information in the question above;

=> "aluminum (E = 70 GPa) tube of length 8-m.

=> "The aluminum is used as a simply supported column carrying a 1.2 kN axial load"

The axial load to provide a factor of safety of 2 against buckling =[ (22/7)^2 × 224348 × 1000 × 70] ÷ (8 × 1000)^2 × 2.

The axial load to provide a factor of safety of 2 against buckling = 1211 N.

What are the 3 types of irony and examples?.

Answers

The three types of irony are Verbal Irony, Situational Irony, and Dramatic Irony.

Example of Verbal Irony:

When a statement's intended meaning differs from what is actually said, it is said to be verbally ironic.In Shrek, Donkey asks Shrek if he can stay with him. Shrek replies, "Of course," when he really means, "No, not really."

Example of Situational Irony:

Situational irony occurs when a situation's conclusion is completely unanticipated. For instance, everyone in Emerald City believes that Oz is strong and impressive in the book The Wonderful Wizard of Oz. Oz, however, turns out to be the exact opposite—an aged guy devoid of any supernatural abilities.

Example of Dramatic Irony:

Dramatic irony occurs when characters are unaware of information that the audience is aware of.When the readers are aware that a deadly shark is present in the water but the carefree beachgoers are unaware that they are being pursued.

What is Irony?

When something unexpected occurs, it is ironic. The thing opposite to what we anticipate usually occurs, and this is either humorous or dramatic.

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A 15 H and a 20 H inductor are connected in parallel what’s the total inductance of this circuit

Answers

When two inductors are connected in parallel, their equivalent inductance is given by:

1/L = 1/L1 + 1/L2

where L1 and L2 are the individual inductances.

Substituting the given values, we get:

1/L = 1/15 + 1/20

Simplifying and finding the common denominator, we get:

1/L = (4 + 3)/60

1/L = 7/60

Multiplying both sides by 60, we get:

L = 60/7 ≈ 8.57 H

Therefore, the total inductance of the circuit is approximately 8.57 H.

qué es una nube informática

Answers

Es un paradigma que permite ofrecer servicios de computación a través de una red, que usualmente es internet.

what is software enginnering?

Answers

Software engineering is the process of designing, building, and maintaining software programs to solve problems and improve life.

What is the value of Software Engineering?

Software engineering is the process of designing, building, and maintaining software programs. Software engineers use their skills and knowledge to create software that is reliable, efficient, and easy to use.

Note that they work with computers and programming languages to create software that can be used for many different purposes, such as helping people communicate, run businesses, or entertain themselves. Software engineering is an important job because it helps us solve problems and make life easier.

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Conduct online research and write a short report on the origin and evolution of the meter as a measurement standard. Discuss how the meter formed a base for the development of other measuring standards.

Answers

Answer:

People have come up with all sorts of inventive ways of measuring length. The most intuitive are right at our fingertips. That is, they are based upon the human body: the foot, the hand, the fingers or the length of an arm or a stride.

In ancient Mesopotamia and Egypt, one of the first standard measures of length used was the cubit. In Egypt, the royal cubit, which was used to build the most important structures, was based on the length of the pharaoh’s arm from elbow to the end of the middle finger plus the span of his hand. Because of its great importance, the royal cubit was standardized using rods made from granite. These granite cubits were further subdivided into shorter lengths reminiscent of centimeters and millimeters.

piece of black rock with white Egyptian markings

Fragment of a Cubit Measuring Rod

Credit: Gift of Dr. and Mrs. Thomas H. Foulds, 1925

Later length measurements used by the Romans (who had taken them from the Greeks, who had taken them from the Babylonians and Egyptians) and passed on into Europe generally were based on the length of the human foot or walking and multiples and subdivisions of that. For example, the pace—one left step plus one right step—is approximately a meter or yard. (On the other hand, the yard did not derive from a pace but from, among other things, the length of King Henry I of England’s outstretched arm.) Mille passus in Latin, or 1,000 paces, is where the English word “mile” comes from.

And thus, the meter has and likely will remain so elegantly defined in these terms for the foreseeable future.

Explanation:

is this short enough

Hot water enters the tube-side of a two shell pass, four tube pass shell-and-tube heat exchanger at 87°C at a flow rate of 2.5 kg/s. Unused engine oil enters the shell side of the same heat exchanger at 27°C at a mass flow rate of 2.8 kg/s. Each shell section has 18 tubes within it. Each tube has an inner diameter of 24 mm, a wall thickness of 1.1 mm, is 4 m in length including the hairpin turn, and is made of a copper alloy (v=336 W m^-1 K^-1 ). At the given inlet conditions, it is known that for this two-shell heat exchanger the overall hot-side heat transfer coefficient is 2100 W m^-2 K^-1 . Assuming no significant amount of external heat is lost or gained by the heat exchanger.


Determine:

a. the cold-side overall heat transfer coefficient

b. the outlet temperature of the engine oil

c. the outlet temperature of the water

d. the rate of heat transfer between the streams.

Answers

To determine the requested values, we can use the heat exchanger equations and principles. Let's solve the problem step by step:

a. The overall heat transfer coefficient for the cold side can be calculated using the formula:

1/U_c = 1/h_o + R_fo + R_w + R_fi + 1/h_i

where h_o and h_i are the oil-side and water-side convective heat transfer coefficients, respectively. R_fo and R_fi are the fouling resistances on the oil and water sides, and R_w is the wall resistance.

Since no values are provided for h_o and R_fo, we can assume reasonable estimates. Let's assume h_o = 1500 W/m^2 K and R_fo = 0.0005 m^2 K/W (common values for oil-side heat exchangers). R_w can be calculated using the formula:

R_w = ln(r_o/r_i) / (2πLk)

where r_o and r_i are the outer and inner radii of the tube, L is the tube length, and k is the thermal conductivity of the tube material.

Substituting the given values into the formulas, we can calculate 1/U_c.

b. To find the outlet temperature of the engine oil, we can use the energy balance equation:

m_o * Cp_o * (T_o,out - T_o,in) = Q

where m_o is the mass flow rate of the oil, Cp_o is the specific heat capacity of the oil, T_o out is the outlet temperature of the oil, T_o in is the inlet temperature of the oil, and Q is the rate of heat transfer between the streams.

We can rearrange the equation to solve for T_o, out.

c. Similarly, for the outlet temperature of the water, we can use the energy balance equation:

m_w * Cp_w * (T_w,in - T_w,out) = Q

where m_w is the mass flow rate of the water, Cp_w is the specific heat capacity of the water, T_w in is the inlet temperature of the water, T_w, out is the outlet temperature of the water, and Q is the rate of heat transfer between the streams.

Rearranging the equation will allow us to solve for T_w, out.

d. The rate of heat transfer between the streams can be calculated using the formula:

Q = m_w * Cp_w * (T_w,in - T_w,out) = m_o * Cp_o * (T_o,out - T_o,in)

Substituting the known values, we can determine the rate of heat transfer.

By solving these equations using the given values and the assumptions made, we can obtain the desired results.

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When traveling at higher speeds (40 mph or faster), the most fuel efficient way to keep the car cool is to

Answers

Answer:

When traveling at higher speeds (40 mph or faster), the most fuel-efficient way to keep the car cool is to follow these tips:

1. Use the vehicle's ventilation system: Instead of relying on air conditioning, use the car's ventilation system to circulate fresh air from outside. This helps to cool down the interior without putting extra load on the engine, thus saving fuel.

2. Close windows and sunroofs: To reduce wind resistance and drag, close all windows and sunroofs while driving at higher speeds. Open windows create drag, which can increase fuel consumption.

3. Park in the shade: Whenever possible, park your car in a shaded area to avoid excessive heating when it's not in use. This can help keep the car cooler and reduce the need for extra cooling when you start driving.

4. Use reflective sunshades or window tinting: Use reflective sunshades on your windshield and window tinting on side windows to reduce the amount of heat entering the car. This can help keep the interior cooler, reducing the need for excessive cooling while driving.

5. Maintain your vehicle: Regular maintenance, such as checking and replacing coolant, inspecting the radiator, and ensuring proper functioning of the engine cooling system, can help keep your car running efficiently and prevent overheating.

6. Plan your trips strategically: If possible, try to avoid driving during the hottest part of the day. By planning your trips to avoid peak temperatures, you can reduce the strain on your vehicle's cooling system and minimize the need for excessive cooling.

Remember that these tips are specifically focused on keeping the car cool while maintaining fuel efficiency at higher speeds. In certain circumstances, such as extremely hot weather, using the air conditioning sparingly may be necessary for passenger comfort, but it will increase fuel consumption.

List three main commodity areas that drive agriculture

Answers

Common agricultural commodities include dairy products, wheat, and coffee. You can invest in and “trade” these products virtually, without running a farm and purchasing and storing the items yourself.

Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

Small particles in your power steering system may

Answers

Small particles in your power steering system may Damage the hydraulic pump.

Check more about the reason for the above in the power steering system below:

What is the Small particles about?

If a person is said to have notice that there is  small black particles that can be seen inside of the power steering reservoir, there is therefore some chances that are these are some piece of the hose, instead of  the pump or rack.

Since High-temperature pulsations can be able to lead the power steering hoses to be destroyed  from the inside.

Therefore, based on the above, one can say that Small particles in your power steering system may Damage the hydraulic pump.

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which kind of pump is generally used for moving grease, mastic, concrete, and other nearly solid materials?

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A cell's plasma membrane acts as a barrier that is selectively permeable, controlling the movement of molecules, ions, and other substances from the cell's exterior to its interior.

What does mean when somebody is selective ?

When someone is choosy, they carefully select their actions and purchases, for instance. Sales still take place, but purchasers are pickier now. Synonyms: specific, strict, picky, and judgmental Additional Synonyms for select.

The definition of selective knowledge

If partial knowledge acknowledges that we must address a problem with incomplete facts, selective knowledge discusses the deliberate decision to reject, select, then accept based on need, desire, or expectation up until a story is revealed.

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What are the indications that Cece is having problems
with her computer hardware? Check all that apply
-losing the Internet connection
-waiting for five minutes
-computer going blank
-mouse pointer freezing
-keyboard getting stuck

Answers

Answer:

-Computer going blank .

-Mouse pointer freezing.

-Keyboard getting stuck.

Explanation:

Any problems with the computer related to its hardware will consist of issues directly related to the physical components of the PC or computer. So any problem involving the physical component of the computer, then it can be termed as a hardware problem.

Based on the problems given in the option, the hardware issues will be problems with the computer, mouse, and keyboard. These form the physical parts of the computer so they will be a hardware issue.

Thus, the correct answers are the third, fourth, and fifth options.

Answer:

c d e

Explanation:

Why are there few effective HCI standards?

Answers

Answer:

There are few effective Human Computer Interaction (HCI) standards because for one, standards are more suitable for hardware than software because they are relatively unstable. ... Some software product standards have been in place long before any formal standard documents were published.

a) What is meant by Landslide? b) Explain its causes in detail. (14) c) How do landslides impact civil engineering works before and after construction?

Answers

A landslide refers to the downward movement of a mass of soil, rock, or debris along a slope or hillside. It can occur suddenly and is often triggered by various factors such as rainfall, geological conditions.

Landslides can be caused by several factors, including geological, hydrological, and human-induced factors. Geological factors include the nature of soil and rocks, slope angle, and geological structures.

Hydrological factors involve heavy rainfall, snowmelt, and changes in groundwater levels. Human-induced factors encompass activities such as deforestation, construction, mining, and improper land use practices. These factors can weaken the stability of slopes and increase the likelihood of landslides.

Landslides can have significant impacts on civil engineering works both before and after construction. Before construction, landslides can pose challenges in site selection, surveying, and designing structures.

They can affect the stability of slopes, requiring additional measures for slope stabilization and drainage systems. During construction, landslides can disrupt construction activities, damage infrastructure, and lead to project delays and increased costs.

After construction, landslides can continue to pose risks to civil engineering works. They can damage roads, buildings, and other structures, affecting their structural integrity. Landslide-induced soil erosion can lead to the loss of foundation support, compromising the stability of structures.

To mitigate these risks, engineers employ various measures such as slope stabilization techniques, drainage systems, retaining walls, and proper land use planning to minimize the potential impacts of landslides on civil engineering works.

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1a) find a recurrence relation for the number of permu- tations of a set with n elements. b) use this recurrence relation to find the number of per- mutations of a set with n elements using iteration.

Answers

To find the recurrence relation for the number of permutations of a set with n elements, we can start by considering the base case of n=1. In this case, there is only one permutation of the set, which is the set itself.

Now, let's consider the case where n>1. We can choose one element from the set and fix it in place. There are n choices for which element to fix, and once we have done this, we are left with a set of n-1 elements that we need to permute. By the multiplication principle, the number of permutations of the set of n elements is equal to the number of ways to choose an element to fix, multiplied by the number of permutations of the remaining n-1 elements.

Therefore, we can write the recurrence relation as:

P(n) = n * P(n-1)

where P(n) represents the number of permutations of a set with n elements.

To use this recurrence relation to find the number of permutations of a set with n elements using iteration, we can start by setting the base case of P(1) = 1. Then, we can use the recurrence relation to compute P(2), P(3), and so on, until we reach P(n).

For example, to find P(2), we can use the recurrence relation:

P(2) = 2 * P(1) = 2 * 1 = 2

To find P(3), we can use the recurrence relation again:

P(3) = 3 * P(2) = 3 * 2 = 6

And so on, until we find P(n) using the recurrence relation.

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Use the following clues to help fill in the chart on the next page. Put an X in the spaces that are INCORRECT and Highlight the
CORRECT
1 The wizard with the lavender wand is in Ravenel or Sparrowan, and earned 50 or 60 points
2. Gorgonscale earned 10 points less than Sparrowman
3 Lynn scored 20 points less than the wizard with the incense wand.
4. Timmy scored 70 or 80 points. He is in Gorgonscale or Hydraden
5. Among Bennie and the wizard from Sparrowan, one earned 70 points and the other has the lavender wand.
6. The mandragore wand belongs to Edward or to the House of Hydraden
7 Ravenel didn't earn 60 points and Edward is not among it's wizards
8. Bennie scored 10 points more than Edward
9. The wizard with the mandragore wand didn't earn 70 points.

Answers

The wizard with the lavender wand is in Ravenel or Sparrowan, and earned 50 or 60 points

Critically identify the dif erences and similarities between "dry process" and "wet process" in
cement production including: environmental issues, production cost, outputs etc.

Answers

The primary difference between the dry process and the wet process of cement production is the way in which the raw materials are mixed and prepared before being burned in the kiln.

In the dry process, raw materials are ground and dried to a fine powder, which is then fed into the kiln in a dry state. In the wet process, raw materials are crushed and mixed with water to form a slurry, which is then fed into the kiln in a liquid state.

One of the primary environmental issues associated with the dry process is the emission of dust and particulate matter, which can be a major source of air pollution. In contrast, the wet process generates large amounts of wastewater, which can contain high levels of pollutants such as heavy metals, and can also lead to groundwater contamination if not managed properly.

In terms of production cost, the dry process is generally considered to be more energy-efficient, as it requires less fuel to dry the raw materials before they are fed into the kiln. However, the wet process may be more cost-effective in areas where water is abundant and cheap, as the cost of drying the raw materials can be significant.

The output of both processes is similar in terms of the final product, which is Portland cement. However, the properties of the cement produced by the two processes can differ slightly, with cement produced by the wet process typically having a higher level of compressive strength.

In conclusion, both the dry process and the wet process have their advantages and disadvantages in terms of environmental impact, production cost, and final output. The choice between the two methods often depends on the availability of resources such as water and fuel, as well as local environmental regulations and other factors.

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The double gears rolls on the stationary left rack R. Knowing that the rack on the right has a constant velocity of 2 ft/s, determine(a) the angular velocity of the gear,(b) the velocities of points A and D

Answers

Angular velocity: The rate of change of angular displacement of a body with respect to time is angular velocity. It is de Angular velocity:

Angular velocity is a physical quantity used to describe the rate of change of angular displacement of an object or particle with respect to time. It is measured in radians per second (rad/s) or degrees per second (°/s). The angular velocity is a vector quantity and its direction is perpendicular to the plane of rotation. The magnitude of the angular velocity depends on the rate of change of the angle swept by an object as it rotates about a fixed point. It is commonly used in fields such as physics, engineering, and astronomy to describe the motion of rotating objects or particles. It is also an important parameter for understanding the dynamics of rotating systems and can be used to calculate other physical quantities such as angular acceleration, torque, and moment of inertia.

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The double gears rolls on the stationary left rack R. Knowing that the rack on the right has a constant

2.1 Define what is meant by a Programming Paradigm. Explain the main characteristics of Procedural, Object
oriented and Event-driven paradigms and the relationships among them (Report).
2.2 Write code examples for the above three programming paradigms using a Java programming language
(Program).
2.3 Compare and contrast the procedural, object orientated and event driven paradigms used in the above source
code (Report).
2.4 Critically evaluate the code samples that you have above in relation to their structure and the unique
characteristics (Report).

Answers

2.1 Definition of Programming ParadigmProgramming Paradigm can be defined as an approach that programmers follow to solve problems in programming. This approach provides a certain perspective on how to design and structure the program to solve a particular problem.

Programming paradigms can be divided into different categories, and the most important of these are procedural, object-oriented, and event-driven programming paradigms.Characteristics of Procedural, Object-oriented, and Event-driven ParadigmsProcedural Programming ParadigmA procedural programming paradigm is a programming paradigm that separates code into smaller modules.

This paradigm relies on procedures, subroutines, and functions to structure the program.Object-oriented Programming ParadigmIn object-oriented programming (OOP), objects are used to represent real-world objects. It includes class definitions that determine object properties, methods that represent behavior, and objects that represent the class instances.Event-driven Programming ParadigmAn event-driven programming paradigm is used to create responsive programs. Event-driven programming involves event handlers, which are functions that are triggered by specific events. This paradigm is useful in creating user interfaces.

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When the process is in control but does not meet specification which type of error is it?

Answers

When the process is in control but does not meet specification, it is referred to as a special cause error.

What is the term for a process in control but not meeting specification?

In statistical process control, a process is considered to be in control when it operates within the defined limits and shows only random variations. However, when a process is in control but does not meet the desired specifications, it indicates the presence of a special cause error.

Special cause errors are attributed to specific factors or events that cause the process to deviate from the expected outcome. These errors are typically unpredictable and require investigation and corrective action to bring the process back within the desired specifications.

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Pick up the correct statement from the following:
A. The theory of formation of concrete is based on the phenomena of formation of voids
B. The bulking of sand is taken into account while volumetric proportioning of the aggregates
C. The dry sand and the sand completely flooded with water, have practically the same volume
D. All the above

Answers

Answer:

D. All the above

Explanation:

A is correct. The theory of formation of concrete is based on this phenomenon of formation of voids because, a coarse aggregate aggregate on its own, contain voids. When a fine aggregate like sand is added, it occupies these voids. Further, when finely powdered cement is added to the mixture, it further occupies the voids between the sand particles.

B is correct. The bulking of sand should be taken into account when volumetric proportioning of the aggregates is adopted. Otherwise, less quantity of concrete per bag of cement will be produced, which naturally will increase the cost of concrete. This is because sand particles when left on their own, do not pack properly near each other due to sand buckling, leaving too many void spaces between the sand particles.

C is correct . The dry sand and the sand completely flooded with water have practically the same volume. This is due to the bulking of sand. When water is added to the sand, up to complete flooding, the sand particles pack near each other and the amount of bulking of sand is decreased. The addition of the volume of water, leads to a decrease in the volume of the sand due to the extra voids. These cancels out to practically leave the dry sand and the flooded sand with the same volume.

once you get the answer correct first i will mark you brainliest!!

once you get the answer correct first i will mark you brainliest!!

Answers

Answer:

2

Explanation:

2 I think? But yea have a good day

URGENT NEED HELP BY AN HOUR
C++ ONLY

Given a line of text as input: (1) output the number of characters excluding the three characters commonly used for end-of-sentence punctuation( period, exclamation point, and question mark), (2) then output the number of end-of-sentence punctuation characters that were found. You can just do (1) to pass the first few test cases for partial credit, then do (2) for full credit.

Ex: If the input is "Listen, Sam! Calm down. Please.", the output is:

28
3
Ex: If the input is "What time is it? Time to get a watch! O.K., bye now.", the output is:

43
5

Answers

Using the knowledge in computational language in python it is possible to write a code that output the number of characters excluding the three characters commonly used for end-of-sentence punctuation.

Writting the code:

   import re

   def check_sentence(text):

     result = re.search(r"^[A-Z][A-Za-z\s]*[\.\?!]$", text)

     return result != None

   print(check_sentence("Is this is a sentence?")) # True

   print(check_sentence("is this is a sentence?")) # False

   print(check_sentence("Hello")) # False

   print(check_sentence("1-2-3-GO!")) # False

   print(check_sentence("A star is born.")) # True

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URGENT NEED HELP BY AN HOURC++ ONLYGiven a line of text as input: (1) output the number of characters

Find the Laplace transform of the following signals: x(t) = e - 2(t -1)u(t - 1) x(t) = 2e - 2t sin(3t)u(t)

Answers

The Laplace transforms of the signals x(t) = e - 2(t -1)u(t - 1) and x(t) = 2e - 2t sin(3t)u(t) are  \(\frac{e^s}{s^2+2s}\)  and \(\frac{2e^s - 3\cos(3s)}{s^2 + 9}\), respectively.

The Laplace transform of the signals x(t) = e - 2(t -1)u(t - 1) and x(t) = 2e - 2t sin(3t)u(t) can be calculated by applying the definition of the Laplace transform.

The Laplace transform of x(t) = e - 2(t -1)u(t - 1) is\(\mathcal{L}\left( e - 2(t -1)u(t - 1) \right) = \int_0^{\infty} e^{-st} \left( e - 2(t -1)u(t - 1) \right) \, \mathrm{d}t  = \frac{e^s}{s^2+2s}\)

The Laplace transform of x(t) = 2e - 2t sin(3t)u(t) is\(\mathcal{L}\left( 2e - 2t sin(3t)u(t) \right) = \int_0^{\infty} e^{-st} \left( 2e - 2t sin(3t)u(t) \right) \, \mathrm{d}t = \frac{2e^s - 3\cos(3s)}{s^2 + 9}\).

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G A wheel-tractor scraper is operating on a level grade. Assume no power derating is required for equipment condition, altitude, temperature, and so on. Disregarding traction limitations, what is the maximum value of rolling resistance (in pounds per ton) over which a loaded scraper can maintain a speed of 11 mph

Answers

The maximum value of rolling resistance over which a loaded scraper can maintain in a speed of 11 mph is 275 lb/ton

What is a maximum rolling resistance?

The maximum rolling resistance is the maximum rolling friction that can cause the motion of a body or a substance to resist the force when rolled on a flat surface.

Using Rimpull Performance Chart for wheel-tractor scraper;

For 11 mph speed, the required total resistance is ≅ 25%Grade resistance = 0%

The total resistance = (gross+rolling) resistance

25% = 0% - rolling resistance

rolling resistance = 25%

The maximum rolling resistance = rolling resistance percentage × speed

The maximum rolling resistance \(\mathbf{=25\% ( \dfrac{11 \ lb/ton}{1 \% \ resistance})}\)

The maximum rolling resistance = 275 lb/ton

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