Evaluate stability of a system with the following characteristics equation:

s^6 + s^5 + s^4 + s^3 + 10s^2 − 7s + 4 = 0

Answer:

The rise in temperature will be less than 5 °C in the second minute.

Explanation:

According to heat conduction law, the rate of heating is proportional to the temperature difference or temperature gradient. The temperature gradient is what drives heat to move from a hotter body at a higher temperature gradient to a colder body at a lower temperature gradient. For the potato, the initial first minute raises the temperature to 5 °C, consequently reducing the temperature gradient between the potato and the heating element in the oven. This reduced temperature gradient means that the rate at which it will conduct heat in the second minute will be lesser than that at the first minute. This will continue till the potato and the heating element are at the same temperature, at which no temperature gradient will exist between them; stopping heat transfer between them.

Answer:a

Explanation: because better

The sample of 81 students was selected with a mean score of 90, this illustrates an example of a right tailed one sample z test.

From the information given, the teacher claims that the mean score of students in his class is greater than 82 with a standard deviation of 20. In this case, the right tailed one sample z test is used.

The z value will be:

= (90 - 82)/20/✓81

= 3.6

Since 3.6 > 1.645, the null hypothesis will be rejected as there's enough evidence to support the teacher's claim.

When an online medicine shop claims that the mean delivery time for medicines is less than 120 minutes with a standard deviation of 30 minutes, the left tailed one sample test is used.

The z value will be:

= (100 - 120)/(30/✓49)

= -4.66

The null hypothesis is rejected as there is enough evidence to support the claim of the medicine shop.

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Answer:

C. 14.55

Explanation:

12 x 10 = 120

120 divded by 10 is 12

so now we do the left side

7 x 3 = 21 divded by 10 is 2

so now we have 14

and the remaning area is 0.55

so 14.55

Answer:false

Explanation:

Bc

The correct option for the implication of low variety is B) Flexibility needed. Variety refers to the number of different products, services, or activities that an organization offers. High variety means that a company offers a wide variety of products or services, while low variety means that a company provides a limited range of products or services.

One of the implications of low variety is that customers have limited options. They are restricted to purchasing only those goods and services that the company offers, which may not match their requirements or preferences. This may lead to losing customers to rivals who offer a greater variety of goods and services.

In the case of low variety, it is critical to have the required flexibility. Customers may ask for certain specific goods or services that are not provided by the company. To meet customer requirements, the company should be adaptable and able to rapidly respond to customer requests by expanding its product line. As a result, low variety necessitates the need for flexibility.

The other given options are not valid. Low unit cost is not related to low variety. Unit cost may be affected by economies of scale and other factors, but it is not directly related to variety. High complexity is not related to low variety as well. As the range of goods and services offered by the company increases, the complexity of the company's operations and management also increases. Matching customers' specific needs is partially correct because the company cannot match customer specific needs in low variety. In low variety, the company has a limited range of goods and services, so it is not possible to fulfill all the customers’ specific needs.

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The magnitude of σ1 that will cause yielding according to the maximum-shear-stress theory is 9.94 ksi.

Yield stress for the zirconium-magnesium alloy, σY = 15.3 ksi

In-plane principal stresses are σ1 and σ2 = −0.54σ1

To find the maximum shear stress theory, the equation used is τ_max=1/2(σ1-σ2)

The maximum shear stress theory states that yielding begins when the maximum shear stress in a part equals or exceeds the shear strength of the material. It is represented as τ_max = τ_yield

Where τ_max is the maximum shear stress in a part and τ_yield is the shear strength of the material. In-plane principal stresses are σ1 and σ2 = −0.54σ1

Let us replace the value of σ2 in terms of σ1σ2 = −0.54σ1,σ1 = 1.85σ2

Substitute the values in the τ_max=1/2(σ1-σ2)

τ_max=1/2(σ1-(-0.54σ1))

τ_max=0.77σ1

Now, τ_yield= σY/2 = 7.65 ksi

Therefore, 0.77σ1 = 7.65

σ1 = 9.94 ksi

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Feel free to consult the details in my answer to 24438105 if you wish to compute the line integral directly. I don't see any specification of which method to use, so I'll do it the faster way.

By Green's theorem,

\(\displaystyle \int_C (x^2+y^2)\,\mathrm dx + 3xy^2\,\mathrm dy = \iint_D \frac{\partial(3xy^2)}{\partial x} - \frac{\partial(x^2+y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D (3y^2-2y)\,\mathrm dx\,\mathrm dy\)

Since D is a disk with radius 2 centered at the origin, consider converting to polar coordinates using x = r cos(t ) and y = r sin(t ). Then

\(D = \left\{(r,\theta) \mid 0\le r\le 2\text{ and }0\le t\le2\pi\right\}\)

\(x^2+y^2 = r^2\)

\(\mathrm dx\,\mathrm dy = r\,\mathrm dr\,\mathrm dt\)

\(\implies \displaystyle \iint_D (3y^2-2y) \,\mathrm dx\,\mathrm dy = \int_0^{2\pi}\int_0^2 (3r^2\sin^2(t)-2r\sin(t))r\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \int_0^2 (3r^3\sin^2(t)-2r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(12\sin^2(t)-\frac{16}3\sin(t)\right)\,\mathrm dt = \boxed{12\pi}\)

while viewing a site plan, you notice that the contour lines have elevation numbers that increase toward the middle. this would indicate a hill

On your map, contour lines indicate the height above sea level at various locations. On a map, the relief depicts the elevational difference between two places. You may calculate the relief or elevation change between two points by removing the elevation differences between them.

On a topographic map, a contour line is a line drawn to denote a dip or elevation of the ground. The vertical separation or elevation difference between contour lines is known as a contour interval. Every fifth contour line has an index contour, which is a bolder or thicker line.

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The model of a certain mass-spring-damper system is given as follows:10x¨+cẋ+20x=f(t)where f(t) is the input force applied to the mass m and x(t) is the displacement of the mass from its equilibrium position at time t.

The resonant frequency of the mass-spring-damper system can be found using the following formula:ωr=ωn√(1-2ζ^2)where,ωn=√(k/m) = natural frequency of the systemζ = damping ratio of the system, and c = 2ζωn m, where m = mass of the system.r = ωn√(1-2ζ^2)Given that ζ=0.1, we can find the resonant frequency as follows:r = ωn√(1-2ζ^2)Let's find the natural frequency of the system first.k = 20, m = 10, andωn=√(k/m)=√(20/10)=√2Thus,ωn=√2c = 2ζωn m = 2(0.1)(√2)(10) = 4√2Thus,c=4√2Substituting the values of ωn and ζ, we get:r = ωn√(1-2ζ^2)r = (√2)√(1-2(0.1)^2)r = 1.38 rad/sThus, the resonant frequency of the mass-spring-damper system is 1.38 rad/s.The peak magnitude M of the mass-spring-damper system can be found using the following formula:M = f0/2ζωnwhere f0 is the amplitude of the input force applied to the mass m.When the system is subjected to an input force of f0 = 1, we can find the peak magnitude of the system as follows:M = f0/2ζωn=1/2(0.1)(√2)(10)=1.78Thus, the peak magnitude of the mass-spring-damper system is 1.78.

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Mineral-based lubricants are commonly used in automotive air conditioning (A/C) systems.

Automotive A/C systems, found in cars, trucks, and other vehicles, often require lubricants to ensure proper functioning of the compressor and other components.

Mineral-based lubricants have been traditionally used in automotive A/C systems due to their compatibility with the system materials and their ability to provide adequate lubrication under operating conditions.

Therefore the type of mobile a/c system is automotive air conditioning (A/C) systems.

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Answer:

26 feet and longer boats that have garbage dumping placard must be prominently posted and the boats which are 40 feet and longer must have the written waste management plan.

Statement to give gradAge a value 4 greater than matricAge is gradAge=matricAge+4.

This sentence adds 4 to the number that is recorded in the matricAge variable. As a result, the gradAge number is 4 greater than the matricAge value. To accomplish this, we employed the assignment operator (=).

The assignment operator transfers the value of the value or variable typed on the right to the left variable.

A variable is considered to be initialised when a value is assigned to it for the first time. The assignment operator is represented by the symbol =. In addition, you can create a variable and then give it a value on the same line by writing int I = 9 instead of int I and then I = 9.

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Answer:

6 Ω

Explanation:

given data :

Voltage ( v ) = 12cos ( 60t + 45° )

L = 0.1 H

calculate the inductor's impedance Z  

Z = jXL

  = jx = 60

  = L = 0.1

hence Z = 60 * 0.1 =  6 Ω

Answer:

Both are right

Explanation:

A soil conservationist uses agricultural engineering when constructing terraces to control erosion.

Soil conservationists work to prevent soil degradation and protect natural resources by promoting sustainable land management practices. Agricultural engineering is an important tool used by soil conservationists to achieve these goals. When constructing terraces, soil conservationists use agricultural engineering principles to design and build structures that prevent soil erosion, improve water infiltration, and promote healthy plant growth.

Terracing involves building ridges or embankments along the contours of sloping land. The goal is to slow down the flow of water, prevent soil erosion, and promote healthy plant growth. Agricultural engineering is used to design terraces that are appropriate for the specific site conditions, taking into account factors such as soil type, slope, and rainfall patterns. The terraces are then constructed using a variety of techniques, such as grading, shaping, and contouring.

In addition to terrace construction, soil conservationists also use agricultural engineering to design and implement other soil conservation practices, such as conservation tillage, cover cropping, and nutrient management. By utilizing these practices, soil conservationists can help to preserve soil quality and protect natural resources for future generations.

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The Safety Data Sheets are designed to make it easier for employees to get health and safety information about chemicals (Option A). They are fundamental for handling hazardous chemicals.

Safety Data Sheets are pieces of useful information developed by a manufacturer of a hazardous chemical.

These sheets (safety data sheets) include different types of data including, among others, chemical properties; physical hazards, environmental hazards, etc.

Safety data sheets also include different measures for the safety and protection of overall health, which is often related to issues such as, for example, how to store and/or transport the target chemical.

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Answer:

b. American Society of Mechanical Engineers

Explanation:

The "American Society of Mechanical Engineers" (ASME) is an organization that ensures the development of engineering fields. It is an accreditation organization that ensures parties will comply to the ASME Boiler and Pressure Vessel Code or BPVC.

The BPVC is a standard being followed by ASME in order to regulate the different pressure vessels and valves. Such standard prevents boiler explosion incidents.

Answer:

a building project...

Explanation:

Answer:

\(Length =3\)   \(Height = 2\)   and  \(Width = \frac{3}{2}\)

Explanation:

Given

\(Volume = 9m^3\)

Represent the height as h, the length as l and the width as w.

From the question:

\(Length = 2 * Width\)

\(l = 2w\)

Volume of a box is calculated as:

\(V = l*w*h\)

This gives:

\(V = 2w *w*h\)

\(V = 2w^2h\)

Substitute 9 for V

\(9 = 2w^2h\)

Make h the subject:

\(h = \frac{9}{2w^2}\)

The surface area is calculated as:

\(A = 2(lw + lh + hw)\)

Recall that: \(l = 2w\)

\(A = 2(2w*w + 2w*h + hw)\)

\(A = 2(2w^2 + 2wh + hw)\)

\(A = 2(2w^2 + 3wh)\)

\(A = 4w^2 + 6wh\)

Recall that: \(h = \frac{9}{2w^2}\)

So:

\(A = 4w^2 + 6w * \frac{9}{2w^2}\)

\(A = 4w^2 + 6* \frac{9}{2w}\)

\(A = 4w^2 + \frac{6* 9}{2w}\)

\(A = 4w^2 + \frac{3* 9}{w}\)

\(A = 4w^2 + \frac{27}{w}\)

To minimize the surface area, we have to differentiate with respect to w

\(A' = 8w - 27w^{-2}\)

Set A' to 0

\(0 = 8w - 27w^{-2}\)

Add \(27w^{-2}\) to both sides

\(27w^{-2} = 8w\)

Multiply both sides by \(w^2\)

\(27w^{-2}*w^2 = 8w*w^2\)

\(27 = 8w^3\)

Make \(w^3\) the subject

\(w^3 = \frac{27}{8}\)

Solve for w

\(w = \sqrt[3]{\frac{27}{8}}\)

\(w = \frac{3}{2}\)

Recall that : \(h = \frac{9}{2w^2}\)   and \(l = 2w\)

\(h = \frac{9}{2 * \frac{3}{2}^2}\)

\(h = \frac{9}{2 * \frac{9}{4}}\)

\(h = \frac{9}{\frac{9}{2}}\)

\(h = 9/\frac{9}{2}\)

\(h = 9*\frac{2}{9}\)

\(h= 2\)

\(l = 2w\)

\(l = 2 * \frac{3}{2}\)

\(l = 3\)

Hence, the dimension that minimizes the surface area is:

\(Length =3\)   \(Height = 2\)   and  \(Width = \frac{3}{2}\)

Based upon the Von Mises theory, the safety factor for points A and B are 2.77 and 6.22 respectively.

From the diagram of this bar made of AISI 1006 cold-drawn steel shown in the image attached below, we can logically deduce the following parameters:

At point A, the stress is given by this equation:

σx = Mc/I + P/Area

\(\sigma_x = \frac{Fl(\frac{d}{2}) }{\frac{\pi d^2}{64} } +\frac{P}{\frac{\pi d^2}{4} } \\\\\)

σx = 32Fl/πd³ + 4P/πd²

Substituting the given parameters into the formula, we have;

σx = 32(550)(0.1)/π(0.02)³ + 4(800)/π(0.02)²

σx = 95.49 MPa.

Next, we would determine the torque:

Mathematically, torque can be calculated by using this formula:

τxy = Tr/J = 16T/πd³

τxy = 16(30)/π(0.02)³

τxy = 19.10 MPa.

From Von Misses theory, we have:

σVM = √(σx² + 3τxy²)

σVM = √(95.49² + 3(19.10)²)

σVM = 101.1 MPa.

Now, we can calculate the safety factor for point A:

n = Sy/σVM

n = 280/101.1

n = 2.77.

At point B, the stress is given by this equation:

σx = 4P/πd²

σx = 4(800)/π(0.02)²

σx = 25.47 MPa.

Next, we would determine the torque:

Mathematically, torque can be calculated by using this formula:

τxy = Tr/J = 16T/πd³ + 4V/3A

τxy = 16(30)/π(0.02)³ + 4(550)/3π(0.02)³

τxy = 21.43 MPa.

From Von Mises theory, we have:

σVM = √(σx² + 3τxy²)

σVM = √(25.47² + 3(21.43)²)

σVM = 45.02 MPa.

Now, we can calculate the safety factor for point B:

n = Sy/σVM

n = 280/45.02

n = 6.22.

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Thomas is checking an electrical wire in a washroom with a wet floor. Ground-fault circuit interrupters in the electrical wire will help prevent electrical shock.

The ground-fault circuit interrupter, or GFCI, is a quick-response circuit breaker that may cut off electricity in as little as 1/40 of a second in the event of a ground fault.

It compares the current flowing into and out of the machinery along the conductors of the circuit.

Therefore, electrical shock can be avoided with the aid of ground-fault circuit interrupters in the electrical line.

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The theoretical volume flow rate through the venturi meter can be calculated by using the Bernoulli's equation, principle of continuity, and given pressure difference and diameters.

To calculate the theoretical volume flow rate through the venturi meter, we can use the Bernoulli's equation and the principle of continuity.

First, we need to determine the velocity at the throat of the venturi meter. Since the flow is incompressible, the equation of continuity tells us that the velocity at the throat is inversely proportional to the area of the throat.

Using the formula for the area of a circle (A = πr²), we can find the ratio of the areas of the throat (A₂) to the pipeline (A₁): A₂/A₁ = (d₂/2)² / (d₁/2)²

Substituting the given diameters, we get: A₂/A₁ = (100/250)² = 0.16

From Bernoulli's equation, we know that the pressure difference (ΔP) is related to the velocity difference (ΔV) as: ΔP = ρ/2 * (ΔV)², where ρ is the density of the fluid.

We can rearrange this equation to solve for ΔV: ΔV = √(2 * ΔP / ρ)

Given that the pressure difference is 0.63 m of mercury and the specific gravity of oil is 0.9 (which implies ρ = 0.9 * ρ_water), we can calculate the velocity difference at the throat.

Next, we can use the principle of continuity to relate the velocity at the throat (V₂) to the theoretical volume flow rate (Q): Q = A₂ * V₂

By substituting the known values, including the calculated velocity difference, we can determine the theoretical volume flow rate through the venturi meter.

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The kind of attack that the PDC Bank application is subjected to due to compromised data is: Adversarial artificial intelligence

Adversarial artificial intelligence is a form of attack on a neural network where a wrong algorithm is entered into the system to deceive the end user.

The aim of this machine learning method is to deceive the end user.

This is what happens to the PDC Bank when its data was compromised in the course of improving the machine learning accuracy.

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The quartiles divide a set of observations into four portions, each representing 25% of the observations, together with the minimum and maximum values of the data set. The interquartile range, a measurement of variation around the median, is calculated using quartiles.

Statistical file: {2, -6, 5}

Quartile Q1: -6

Quartile Q2: 2

Quartile Q3: 5.

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A) Core : This term describes the dominant organizations, institutions, groups, and processes of the pre-Internet era.

Each each network that makes up the Internet establishes its own policies, thus neither the technology being used nor the access and usage rules are centralised. The Internet Corporation for Assigned Names and Numbers (ICANN) is the body in charge of maintaining the two major name spaces on the Internet,the Domain Name System (DNS) and the Internet Protocol (IP) address space (ICANN).The Internet Engineering Task Force (IETF), a nonprofit group of multinational players with shaky affiliations to which anybody may belong by giving technical expertise, is responsible for the technical foundation and standardisation of the basic protocols. The Internet was listed as one of the New Seven Wonders in November 2006 by USA Today.

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Answer: The solar irradiance is measured in watt per square metre (W/m2) in SI units. Solar irradiance is often integrated over a given time period in order to report the radiant energy emitted into the surrounding environment (joule per square metre, J/m2) during that time period.

Explanation: hope that helped!