Simplify the rational expression. \frac{n^2+5n-24}{n^2-11n+24}

The learning objectives for this Massive Open Online Course (MOOC) include these three (3) options:

3. "Critically evaluate the reliability of sources for an academic context."

4. "Filter, manage and organize information from a wide variety of sources for use in academic study."

5. "Demonstrate awareness of ethical issues related to academic integrity surrounding the access and use of information."

An online course can be defined as an academic programme that typically involves the process of providing and sharing learning resources (contents) in an organized way over the Internet, so as to allow the students (users) progress in their understanding of a course or topic.

MOOC is an abbreviation for Massive Open Online Course and it can be defined as a free online course that is designed and developed to be made available for anyone to enroll over the Internet, in order to provide interested persons an affordable and flexible way to learn and acquire new skills.

In conclusion, the learning objectives for this Massive Open Online Course (MOOC) include these three (3) options:

3. "Critically evaluate the reliability of sources for an academic context."

4. "Filter, manage and organize information from a wide variety of sources for use in academic study."

5. "Demonstrate awareness of ethical issues related to academic integrity surrounding the access and use of information."

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Answer:

12 mins

Explanation:

The summation of the forces in vertical direction

= Fb - Fd - w = 0 ∴ Fd = Fb - w  ----- ( 1 )

Fb ( buoyant force ) = Pair * g * Vballoon ------- ( 2 )

Pair = air density , Vballoon = volume of balloon

Vballoon = \(\frac{\pi D^3}{6}\) ,  where D = 4  ∴  Vballoon = 33.51 ft^3

g = 32.2 ft/s^2

From property tables

Pair = 2.33 * 10^-3 slug/ft^3

μ ( dynamic viscosity ) = 3.8 * 10^-7 slug/ft.s

Insert values into equation 2

Fb = ( 2.33 * 10^-3 ) * ( 32.2 ) *( 33.51 )  = 2.514 Ib

∴ Fd = 2.514 - 2.5 = 0.014 Ib ( equation 1 )

Assuming that flow is Laminar  and  RE < 1

Re = (Pair * vd) / μair   -------- ( 3 )

where:  Pair = 2.33 * 10^-3 slug/ft^3 ,  vd = ( 987 * 4 ) ft^2/s ,   μair = 3.8 * 10^-7 slug/ft.s

Insert values into equation 3

Re = 2.4 * 10^7 (  this means that the assumption above is wrong )

Hence we will use drag force law

Assume Cd = 0.5

Express  Fd using the relation below

Fd = 1/2* Cd * Pair * AV^2

therefore V = 1.39 ft/s

Recalculate  Reynold's number using  v = 1.39 ft/s

Re = 34091

from the figure Cd ≈ 0.5 at Re = 34091  

Finally calculate the rise time ( time taken to reach an altitude of 1000 ft )

t = h/v

  = 1000 / 1.39 = 719 seconds ≈ 12 mins

Gate valves are most commonly operated by a handwheel. The handwheel is attached to the valve stem, which opens and closes the valve by rotating the gate.

This type of valve operation is preferred in situations where precision control is necessary, as it allows for fine adjustments to be made to the valve position. Bar handles are also sometimes used to operate gate valves, but this is less common than handwheels. Retracting handles and quarter-turn handles are not typically used to operate gate valves, as they are better suited for other types of valves, such as ball valves and butterfly valves. Overall, handwheels are the most reliable and commonly used method for operating gate valves.

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Answer:

True!! took the test

Explanation:

Section 420.6(a) of the National Electrical Code (NEC) states that the tables should not be used for calculating the maximum number of conductors that can be installed in various raceway and cable types.

It is a standard of practice for the safe installation of electrical wiring and equipment in the United States. The NEC is updated every three years to reflect the most up-to-date electrical safety practices.In 2020, the latest NEC was released. The NEC contains regulations for everything from electrical wire size to electrical panel installation. Its goal is to ensure the safe installation of electrical systems in both residential and commercial settings.

Section 420.6(a) is part of Article 420 of the NEC, which covers installation standards for electrical equipment used in a hazardous (classified) location. Hazardous locations are areas where combustible gases, vapors, dusts, or fibers exist in concentrations that could cause a fire or explosion if a source of ignition were present. Section 420.6(a) of the NEC states that the tables used to determine the maximum number of conductors that can be installed in various raceway and cable types should not be used for calculating.

The tables are not a substitute for proper engineering calculations when designing an electrical system. This means that the tables should be used as a general guide, but not as the only means of determining the maximum number of conductors that can be installed.

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In the equation r = bz, where "r" stands for the reproduction rate of posts, "z" stands for the number of times the post is shared or reproduced.

This equation is used to calculate the reproduction rate of a post, which is the rate at which it is shared or reproduced. The "b" in the equation stands for the base reproduction rate, which is the average number of times a post is shared or reproduced. The "z" in the equation is a variable that represents the number of times the post is shared or reproduced. By multiplying the base reproduction rate by the number of times the post is shared or reproduced, we can calculate the overall reproduction rate of the post.

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The bar assembly is missing, so i have attached it.

Answer:

Minimum required dimensions are; h1 = 2 inches and h2 = 4 inches

Explanation:

We are given;

Yield stress; σY = 45 ksi

Factor of safety; F.S = 1.5

Applying conditions of Equilibrium Σx = 0 and Σy = 0,

At segment AB in the diagram with Σx = 0 , we have;

-30 + N_ab = 0

N_ab = 30 kip

The cross sectional area of AB will be;

A_ab = (h1 × 0.5) in²

Now, since we have a factor of safety as 1.5,our allowable normal yield stress will be calculated from;

σ_allow = σY/F.S

So, σ_allow = 45/1.5

σ_allow = 30 ksi

Now, normal allowable yield stress is also calculated as;

σ_allow = N_ab/A_ab

So plugging in the relevant values, we can find h1.

So,

30 = 30/0.5h1

h1 = 30/(30 × 0.5)

h1 = 2 inches

Similarly, we can do the same for BC.

The cross sectional area of BC will be;

A_bc = (h2 × 0.5) in²

At segment BC in the diagram with Σx = 0 , we have;

-30 - 15 - 15 + N_bc = 0

N_bc = 60 kip

σ_allow = N_bc/A_bc

So,

30 = 60/0.5h2

h2 = 60/(0.5 × 30)

h2 = 4 inches

Minimum required dimensions are; h1 = 2 inches and h2 = 4 inches

Answer:

They protect the entire hand from abrasion and punctures, and are a dependable, comfortable glove for a wide variety of jobs. Drivers' gloves are available in various types of leathers and can be unlined or lined for cold weather. Leather palm gloves provide maximum protection against abrasive and puncture hazards.

Gloves with leather palms offer the best defense against abrasive and puncture risks. They have leather palms and fingers and are constructed of dependable cotton or canvas.

Abrasive is defined as a substance, sometimes a mineral, used to shape or polish a product by rubbing, which causes some of the workpiece to be removed due to friction. Abrasives are a particular kind of extremely hard material that are utilized in a variety of residential, industrial, and technological applications. A portion of the work piece is worn away when the abrasive is rubbed against it.

These leather gloves each offer particular levels of comfort, protection, and durability. Some of these leather gloves are suitable for use by those handling dangerous chemicals and sparks. Some can provide cut protection to an extreme degree. For workers who handle heat and water, certain types of leather gloves are recommended.

Thus, gloves with leather palms offer the best defense against abrasive and puncture risks. They have leather palms and fingers and are constructed of dependable cotton or canvas.

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When installing conduit in reinforced concrete, it is best to use a masonry bit.

Conduit is a tube or other non-flexible material in which electrical cables are housed. The use of conduit is necessary for protection against electric shock, mechanical injury, and chemical damage in the wiring system.

Conduit is utilized to run the wiring through various places to get them from one point to another. It provides extra support and protection to wires, reducing the risk of damage from external factors, and it is crucial in shielding wires in underground installations.

A masonry bit is a type of drill bit used to drill holes in concrete, brick, and other masonry materials. It is designed to drill through tough and hard materials that are difficult to drill through using other drill bits.

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When installing conduit in reinforced concrete, it is best to use a concrete saw to cut channels and then attach conduit clamps. Conduit is a type of protective casing used to house and protect electrical wiring. It is available in various materials such as PVC, metal, and fiberglass.

It is available in various materials such as PVC, metal, and fiberglass. Conduits are usually installed in various locations and may involve a range of techniques depending on the material used.The conduit can be installed in reinforced concrete, which is a type of concrete that has steel bars or fibers embedded to provide it with greater strength and durability. When installing conduit in reinforced concrete, it is best to use a concrete saw to cut channels and then attach conduit clamps. This process is also referred to as the "chasing method."The chasing method is a very common installation method. It involves cutting a channel into the concrete, laying the conduit in it, and then filling the channel with a patching compound.It is best to use a metal conduit that is resistant to damage, corrosion, and bending.The conduit should be cut to length and deburred to remove any sharp edges.

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Answer:

I don't know the answer but you can download Ga u t h math to answer that

Explanation:

no spacing it is just can't lay aside

Answer:

Explanation:

I'm not 100% this is what you want, but here it is:

2

3

13

8

11

A

13

Answer:

The best way to calculate 0 x33 x 0 x 55 using shift s and adds/subtracts and assuming both inputs are 8-bit unsigned integers is attached below

1, 3, and 4 are the answers. A project that is finite, homogenous, and non-repetitive has a specified beginning and ending date, a focused goal, and a certain set of intricate actions that are unique and never occur again.

There are three major types of initiatives to think about: Project types include operational, compliance, and strategic projects.

Plan, Do, Check, Act is a simple formula. Deming's formula hasn't been enhanced by anyone, and I doubt they ever will. I was first inclined to enumerate the procedures or phases that are typically included when talking about project management—planning, estimating, documenting, etc.—in order to provide a more thorough response.

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Answer: Application.

Explanation:

The question on wether to contine the use of cadavers in the lab for test is being centered around its application. Cadaver which is same as a corpse or dead body is used in crash site during automobil test in lab, some of this cadavers are been disrespected with their applications in the automobile industries because many didn’t consent to be used in those experiments or test.

The state of stress at point B is -221.66psi and the case of compression and positive in case of tension is 39.375psi

In continuum mechanics, it should be noted that stress is a physical quantity that describes forces present during deformation.

In this case, ann object being pulled apart, such as a stretched elastic band, is subject to tensile stress and may undergo elongation.

The value will be:

= (420 × 1.5 × 3) / 3 × 4/12 × 3

= 39.375

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The available options are:

a. Want for a television set

b. Want for medical attention

c. Want for friendship

d. Want for new clothing

Answer:

Want for friendship

Explanation:

Given that economic want is what humans desire to have or possess such that they pay money to acquire them.

Hence, from the available options "want for friendship " is not economic want because it can't be bought with money, while other options can be bought with money or monetary transaction.

Answer:

c

Explanation:

:)

A Composite Search Key (WHERE age = 10 AND name = "Yossarian") can make use of the indexes with partially matching attribute lists are:
b. Hash index of multiple keys (i.e., age, name, gender)
c. B+ Tree index of a single key (i.e., age)
d. B+ Tree index of multiple keys (i.e., age, name, gender)

The composite search key includes both the age and name attributes, so the indexes that cover these attributes (either individually or together) can be utilized to efficiently search for the desired records.

A composite search key, also known as a composite index or composite key, is a combination of two or more attributes used to create an index in a database. Instead of indexing a single attribute, a composite search key involves indexing multiple attributes together.

By creating a composite search key, you can improve the efficiency of searching and querying for records that involve multiple attributes. It allows you to define a specific combination of attribute values as a search criterion, enabling faster access to the desired data.

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Answer:

The Dependent Variable is the Effect, Its value depends on changes from the Independent Variable

Hope this Helps

Answer:

1. 1111.5MPa

2. 56.1GPa

Explanation:

1. Longitudinal tensile stress can be obtained by obtaining the strength and volume of the fiber reinforcement. The derived formula is given by;

σcl = σm (1 - Vf) + σfVf

Substituting the figures, we will have;

45(1 - 0.30) + 3600(0.30)

45(0.70) + 1080

31.5 + 1080

= 1111.5MPa

2. Longitudinal modulus of elasticity or Young's modulus is the ability of an object to resist deformation. The derived formula is given by;

Ecl = EmVm + EfVf

Substituting the formula gives;

= 2.4 (1 - 0.30) + 131 (0.30)

= 2.4(0.70) + 39.3

= 16.8 + 39.3

= 56.1GPa

Using the appropriate relation, the longitudinal tensile stress and the longitudinal modulus are 1111.50 and 56.10 respectively.

Longitudinal tensile stress can be obtained using the relation :

Substituting the values into the relation:

45(1 - 0.30) + 3600(0.30)

45 × 0.70 + 1080

31.5 + 1080

= 1111.50 MPa

2.)

Longitudinal modulus of elasticity is obtained using the relation :

Substituting the values thus :

2.4 (1 - 0.30) + 131 (0.30)

= 2.4 × 0.70 + 39.3

= 16.8 + 39.3

= 56.10 GPa

Hence, the longitudinal tensile stress and the longitudinal modulus are 1111.50 and 56.10 respectively.

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An HV (High Voltage) battery for a full-electric drive vehicle can weigh more than several hundred pounds. The exact weight of an HV battery can vary depending on various factors such as the vehicle's size, range, and battery capacity.

In larger electric vehicles like SUVs or trucks, the HV battery can weigh anywhere from 800 to 1,500 pounds or more. Smaller electric vehicles such as compact cars or hatchbacks may have HV batteries weighing between 400 and 800 pounds.It's important to note that battery technology is constantly evolving, and advancements are being made to improve energy density and reduce the weight of HV batteries while maintaining their performance and range. Therefore, the weight of HV batteries can vary based on the specific vehicle and the battery technology used.

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Answer:

Explanation:

If the museum is running short of funds, and you decide to increase revenue. An increase or decrease in the price of admission into the museum depends on the following:

1. If demand for admission into the museum is elastic there are two possible outcomes

a. An increase in the price of admission leads to a decrease in the quantity demand of admission into the museum

b. A decrease in price of admission into the museum leads to an increase in the quantity demand of admission into the museum.

This follows the law of demand which states that "the higher the price, the lower the quantity demanded and the lower the price, the higher the quantity demanded".

2. If the demand for admission into the museum is inelastic, then an increase in price will lead to an increase in revenue of the museum.

Therefore, before the curator increase the price of admission into the museum, he should first determine the price elasticity of demand of the museum.

A dedicated computer syntax or keyword can indicate various relationships depending on the programming language being used.

For example, in SQL, the "JOIN" keyword indicates a relationship between two tables, while in Python, the "in" keyword can indicate membership in a list. Similarly, in HTML, the "href" attribute syntax indicates a relationship between the current document and a linked document. Ultimately, the specific relationships indicated by computer syntax or keywords will vary based on the context and programming language in use.
In programming languages, dedicated computer syntax and keywords indicate relationships between various elements of the code. Some common relationships include:

1. Declaration: Keywords like "int," "float," and "char" in C++ are used to declare variables and specify their data types.
2. Control structures: Keywords like "if," "else," "while," and "for" define conditional statements and loops, establishing relationships between code blocks.
3. Function definition: Keywords like "def" in Python or "function" in JavaScript are used to define functions, creating relationships between input parameters and the resulting output.
4. Class and object hierarchy: Keywords like "class" and "extends" in Java or Python denote relationships between classes, establishing inheritance hierarchies.
5. Access modifiers: Keywords like "public," "private," and "protected" in C++, Java, or C# define the visibility and scope of variables and methods, controlling the relationships between different parts of a program.

These keywords and syntax rules are crucial in building structured, functional, and maintainable code in various programming languages.

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Passive continental margins are characterized by three major features, which are sedimentary deposits, broad continental shelves, and a lack of tectonic activity.

Firstly, sedimentary deposits are a major feature of passive continental margins, as they accumulate over time due to erosion and sedimentation processes.
Secondly, broad continental shelves are another major feature of passive continental margins, as they are typically wide and gently sloping. These shelves are formed by the deposition of sediments, which can be transported from nearby rivers or eroded from the adjacent continental landmass.
Lastly, a lack of tectonic activity is a defining feature of passive continental margins. Unlike active continental margins, which are located at plate boundaries and experience intense tectonic activity, passive margins are located within a single tectonic plate and experience relatively little deformation or seismic activity.

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The flowrate Q is estimated to be 10.83 m³/s, and the uncertainty is 0.64 m³/s (i.e., 5.89%).

To estimate the uncertainty in the flowrate for the measured values: Q = 128μL ΔPπD / 4.

Where ΔP = 12kN/m² ± 0.3kN/m²; D = 0.3m ± 0.01 m,

L = 150m ± 0.1m and μ = 0.001 kg/m-s (the dynamic viscosity of water).

The formula for the uncertainty of flowrate using the given parameters can be calculated as follows:

ΔQ/Q = ΔΔP/ΔP + ΔD/D + ΔL/L Since ΔP = 12kN/m² ± 0.3kN/m²,

The percentage uncertainty in ΔP is given as follows: (0.3kN/m²/12kN/m²) × 100% = 2.5%

Similarly, the percentage uncertainty for D and L can be computed as follows:

ΔD/D = (0.01m/0.3m) × 100% = 3.33%ΔL/L = (0.1m/150m) × 100% = 0.067%

The flowrate Q can be calculated as follows: Q = 128μL ΔPπD / 4Q = 128 x 0.001 x 150 x (12/4) x 3.1416 x (0.3) ⁴ = 10.83 m³/s

The uncertainty in Q can be calculated as follows:

ΔQ/Q = ΔΔP/ΔP + ΔD/D + ΔL/LΔQ/Q = 2.5% + 3.33% + 0.067%ΔQ/Q = 5.89%

Therefore, the flowrate uncertainty is ΔQ = (5.89/100) x 10.83 = 0.64 m³/s.

The volumetric flowrate formula in a horizontal pipe for laminar flow is Q = 128 μL ΔPπD / 4.

The flowrate uncertainty can be calculated using the formula, ΔQ/Q = ΔΔP/ΔP + ΔD/D + ΔL/L.

The values of ΔP, D, and L are ΔP = 12k N/m ² ± 0.3k N/m ², D = 0.3m ± 0.01 m, and L = 150m ± 0.1m,

Therefore, the flowrate Q is estimated to be 10.83 m³/s, and the uncertainty is 0.64 m³/s (i.e., 5.89%).

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