x[n] is a sampled signal from a sinusoid signal xt=sin(Ωt) with a period T= 18 seconds. The interval in time between samples is Tsample= 10 seconds/sample, what the value of x[2]?

Answers

Answer 1

Required value of interval x[2]= sin(4π / 9)

We have a sampled signal, x[n] from a sinusoidal signal xt=sin(Ωt) with a period T=18 seconds.

The time interval between samples is T_sample 10 seconds/sample and we want to calculate the value of x[2].

Mathematically, the relation between continuous-time and discrete-time signals is given by: x[n] = x(nT_sample)where T_sample is the sampling interval.

In this problem, we have T_sample = 10 seconds/sample.

Hence, the relation between the continuous-time sinusoidal signal xt and the discrete-time signal x[n] can be written as: x[n] = x(nT_sample) = x(n*10) = sin(Ω*n*T_sample) = sin(Ω*n*10)

Also, we know that the period of the continuous-time signal is T=18 seconds.

Hence, we can write Ω as: Ω=2π/T=2π/18

The value of x[2] is:x[2] = sin(Ω*2*10) = sin(Ω * 20)x[2] = sin(2π/18*20)x[2] = sin(20π/18)

Using the fact that sin(θ) = sin(θ+2πk), we can write:x[2] = sin(20π/18) = sin(20π/18+2π) = sin(20π/18-2π) = sin(8π/18) = sin(4π/9)

Hence, the value of x[2] is sin(4π / 9).

Therefore, the answer is: x[2] = sin(4π / 9).

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Related Questions

In the chlorination of 4-bromoacetanilide, the actual electrophile is
a. Cl2
b. HCl
c. NaClO3
d. Cl-

Answers

In the chlorination of 4-bromoacetanilide, the actual electrophile is chlorine gas (Cl2). Hence the correct answer is a.) Cl2.

What is the mechanism of this chemical reaction of chlorination?

An electrophile is a species that accepts electrons in a chemical reaction, and in this case, chlorine gas acts as the electrophile by accepting electrons from the 4-bromoacetanilide to form the chlorinated product.

The reaction mechanism involves the nucleophilic substitution of bromine by chlorine. The chlorine molecule (Cl2) is converted into a chlorine ion (Cl+) by accepting an electron from the 4-bromoacetanilide molecule, which acts as a nucleophile by providing a pair of electrons to form the covalent bond with chlorine.

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If a circuit produces a phase shift of 45 degrees between the voltage and current curves and the apparent power is 100 VA, what is the TRUE power in the circuit?


50 W


70.7 VA


70.7 W


100 A

Answers

The true power is obtained as 70.7 VA.

What is the true power?

We define the power a the rate of doing work, we know that the power in a circuit is the product of the current and the voltage. In this case, we want to find the true power thus we have to involve the use of the phase shift in degrees.

Thus;

True power = PcosΦ

P =  100 VA

Φ = 45 degrees

True power =  100 VA * cos 45 degrees

True power = 70.7 VA

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Why does the us import oil? because it does not produce any oil at all because it needs higher quality oil than it produces because it has exported too much oil to nearby countries because it is cheaper to import oil than to produce it

Answers

US import oil because it is cheaper to import oil than to produce it

What is importation?

Importation is a way of bringing in goods and services from neighbouring country into your country.

Countries import because it helps them to supply high cost and scarce resources to its market with products from other countries at a very cheap rate.

Hence we can conclude that US import oil because it is cheaper to import oil than to produce it.

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Answer:

because it is cheaper to import oil than to produce it

Explanation:

d on edge2023

Pressure sensor rated at 0-500 psi and has an output of 0-10 Volts DC (10 V correspond to
500 psi) .it is connected to PLC analog input module that is 12 Bits if the PLC read the
Analog input as 8B3 HEX,what is the pressure in psi and the resolution in psi for the
System.​

Answers

Answer:

Explanation:

Sorry I'm new and I need points ty

which of the following is a secure doorway that can be used with a mantrap to allow an easy exit but actively prevents re-entrance through the exit portal?

Answers

For simple exit from a secure area, turnstiles are frequently employed.

What is mantrap door?

A mantrap is a little space with an exit door on the other wall and an entrance door on one wall. A mantrap door cannot be opened until the door to its opposite has been shut and locked.

What are the three security types that should be used in a methodical manner to safeguard network infrastructure?

Hardware, software, and cloud services are the three parts of network security. Servers or other devices known as hardware appliances carry out specific security operations in a networking environment.

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Raven is adding FSMO roles to domain controllers in the domain1.com forest. The forest contains a single domain and three domain controllers, DC1, DC2, and DC3. DC1 contains a copy of the global catalog, and all three domain controllers have the latest version of Windows Server 2019 installed. Which of the following is a best practice that Raven should follow? She should use DC2 or DC3 as the Domain Naming Master. B She should create the Domain Naming Master role on DC1. She should create three Domain Naming Master roles, one for each domain controller. She does not need to create the Domain Master role because DC1 contains a copy of the global catalog.

Answers

The best practice that Raven should follow is to use DC2 or DC3 as the Domain Naming Master of the following is a best practice that Raven should follow. The correct option is A.

The management of the addition or deletion of domains from the forest is the responsibility of the Domain Naming Master. For redundancy and fault tolerance, it is advised to split the FSMO roles among several domain controllers.

Since DC1 already has a copy of the global catalog, it is advantageous to choose a different domain controller (DC2 or DC3) as the Domain Naming Master to disperse the workload and guarantee high availability. This ensures that the forest's operations may continue even if one domain controller goes offline and prevents the creation of a single point of failure.

Thus, the ideal selection is option A.

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fill in the blank. ___ is a systems development technique that produces a graphical representation of a concept or process that systems developers can analyze, test, and modify

Answers

A systems developer can evaluate, test, and adjust a visual representation of an idea or process by using the modelling approach.

Which four sorts of systems are there?

Network design usually recognizes four different kinds of engineered framework: product system, service system, enterprise system, and system of components.

A subsystem simple definition is what?

A system is a collection of pieces or components organised to achieve a certain goal. When used in the statement "I use my own small system," the phrase may be used to refer to both the elements of the system and the structure or plan as a whole (as in "computer system").

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Consider a 2-shell-passes and 8-tube-passes shell-and-tube heat exchanger. What is the primary reason for using many tube passes

Answers

Answer:

See explanation

Explanation:

Solution:-

- The shell and tube heat exchanger are designated by the order of tube and shell passes.

- A single tube pass: The fluid enters from inlet, exchange of heat, the fluid exits.

- A multiple tube pass: The fluid enters from inlet, exchange of heat, U bend of the fluid, exchange of heat, .... ( nth order of pass ), and then exits.

- By increasing the number of passes we have increased the "retention time" of a specific volume of tube fluid; hence, providing sufficient time for the fluid to exchange heat with the shell fluid.

- By making more U-turns we are allowing greater length for the fluid flow to develop with " constriction and turns " into turbulence. This turbulence usually at the final passes allows mixing of fluid and increases the heat transfer coefficient by:

                                U ∝ v^( 0.8 )    .... ( turbulence )

- The higher the velocity of the fluids the greater the heat transfer coefficient. The increase in the heat transfer coefficient will allow less heat energy carried by either of the fluids to be wasted ; hence, reduced losses.

Thereby, increases the thermal efficiency of the heat exchanger ( higher NTU units ).


What does hydraulic force provide in a braking system?
Power
Heat dissipation
Contact surface
Pressure

Answers

Answer:

4 or D pressure

Explanation:

A hydraulic braking system transmits brake-pedal force to the wheel brakes through pressurized fluid, converting the fluid pressure into useful work of braking at the wheels.

Answer:

pressure is the correct answer...

Explanation:

mark me brainliest

Why is it important to understand email netiquette?

Answers

Answer:

Email etiquette is important

Explanation:

It is important to understand how to use correct email etiquette because it helps you communicate more clearly. It also makes you seem a bit more professional too. For example depending in who you're emailing like say you're emailing your teacher for help then here's how it'd go:

Dear(teacher name, capitalize, never use first name unless they allow it)

Hello (teacher name), my name is (first and last name) from your (number class) and I was wondering if you could please help me out with (situation, be clear on what you need help with otherwise it won't get through to them)? If you could that would be greatly appreciated!

Sincerely,

(your name first and last)

1. Explain the difference between energy and power (2)​

Answers

Explanation:

Energy is what makes change happen and can be transferred form one object to another. Energy can also be transformed from one form to another. Power is the rate at which energy is transferred. It is not energy but is often confused with energy.

Answer:

• Energy is the ability to do work, and it can be transferred from one body (or system) to another, but is always conserved.

• Power is the amount of energy transferred per unit time.

Hope this helps!

Part A. Find the relationship between the phasor voltage and phasor current for a resistance The resistor shown here has been transformed into the phasor domain: Ik 4k Suppose that the phasor current is given by IR = 752120 mA. Find the phasor voltage VR. Enter a complex number in polar form, with phase angle in degrees.

Answers

The phasor voltage VR is 3008480 ∠ 0° V.

To find the relationship between the phasor voltage (VR) and phasor current (IR) for resistance, we'll use Ohm's Law in the phasor domain. The given information includes a resistor with a value of 4k ohms and a phasor current of 752120 mA.

Step 1: Convert the phasor current to amperes.
IR = 752120 mA = 752.12 A

Step 2: Apply Ohm's Law in the phasor domain.
Ohm's Law states that the phasor voltage VR = IR × R, where R is the resistance.

Step 3: Calculate the phasor voltage.
VR = IR × R
VR = 752.12 A × 4k ohms
VR = 752.12 A × 4000 ohms
VR = 3008480 V

Since the question asks for the phasor voltage in polar form, we can assume that the phase angle is 0 degrees because there's no reactive component in a pure resistor. So, the phasor voltage VR in polar form is:

VR = 3008480 ∠ 0° V

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many chips encased in one chip working together is what?

Answers

Many chips encased in one chip working together is known as a System on a Chip (SoC). An SoC combines multiple components of a computer into a single integrated circuit, allowing for the smaller size, lower power consumption, and increased performance of devices that use it.


A chip that contains many chips working together is known as an integrated circuit or a microchip. Integrated circuits are used in a wide range of electronic devices, including computers, smartphones, and other digital appliances. These chips are designed to perform a specific function, such as processing data, controlling a device, or amplifying a signal. By combining multiple chips into a single integrated circuit, manufacturers can reduce the size and cost of electronic devices, while also improving their performance and reliability.

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Consider the following normalized relations from a database in a large retail chain:STORE (StoreID, Region, ManagerID, SquareFeet) EMPLOYEE (EmployeeID, WhereWork, EmployeeName, EmployeeAddress) DEPARTMENT (DepartmentID, ManagerID, SalesGoal) SCHEDULE (DepartmentID, EmployeeID, Date)What opportunities might exist for denormalizing these relations when defining the physical records for this ­database?

Answers

Normalization and denormalization are processes used to optimize database performance. The differences between them are explained using examples.

Normalization is a process performed to minimize/remove anomalies to maintain database consistency.

First normal form eliminates duplicate columns.

For the second normal form, the first normal form step is included in addition to removing duplicate data located in subtables. The third normal form contains the second normal form and is further stepped. This format removes columns that do not depend on primary key columns.

Denormalization is the reverse process of normalization. Reduce effort and optimize performance.

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Which type of robots will NASA use to study the outer space and planets in our solar system?

Answers

Answer: These robots study planets from space. The Cassini spacecraft is this type of robot. Cassini studies Saturn and its moons and rings. The Voyager and Pioneer spacecraft are now traveling beyond our solar system

Explanation:

Which of the following RAS Gateways can be implemented to perform simple routing between virtual networks on a host and VLANs configured on the physical network?
Site-to-site VPNNAT gatewayLayer 3 forwarderGRE tunneling

Answers

The main answer to your question is Layer 3 forwarder. A Layer 3 forwarder is a RAS Gateway that can be implemented to perform simple routing between virtual networks on a host and VLANs configured on the physical network. This allows for communication between different virtual networks as well as between virtual and physical networks.

A Layer 3 forwarder is a networking device that operates at the network layer (Layer 3) of the OSI model. It is capable of forwarding packets between different networks based on their IP addresses. In the context of virtual networks and VLANs, a Layer 3 forwarder can handle the routing of traffic between virtual networks (host-based) and VLANs (physical network-based).


A site-to-site VPN is used to connect two separate networks securely over the internet. NAT gateway is used to translate IP addresses in the traffic flow. GRE tunneling is used to encapsulate packets and transport them over a network. None of these options are specifically designed for simple routing between virtual networks and VLANs, which is the requirement mentioned in the question. Therefore, the Layer 3 forwarder is the correct option for this scenario.

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Need help fast 50 points Project: Creating a Morphological Matrix
Assignment Directions

A systematic way to view common functionality of an object's structure and components is through a morphological matrix. You are going to utilize this method to analyze a common household device (from the list below or your own idea). First, create the left-hand column by deciding on the parameters that allow the object to function normally. For example, a pencil sharpener has a blade and a housing unit to support the system. Use the parameters to describe the system. If the pencil sharpener is hand operated, list the parameter of hand turning (either the pencil itself in a small unit or a handle in a wall-mounted device). The parameter column can include specific structures in the device, power sources, or any other information you learned in the lesson. The right-hand columns will include the current methods used by the device to complete the parameter, as well as any other options that would satisfy the parameter. You must create at least two other options for each parameter.

While the matrix provides valuable information for an engineer, it is typically more technological than a client or decision team needs. Therefore, you will also need to complete a one- or two-page analysis of the device, including the current parameter solutions and any recommended alterations to a design. Each recommendation must be supported by information in the morphological matrix.

Here are some ideas of household devices that you can analyze:

can opener
bathroom or kitchen scale
doorknob assembly
stapler
Assignment Guidelines

a completed morphological matrix
each parameter must have at least three solutions
a written analysis of the device with supporting details from the matrix
Submission Requirements

One to two pages double spaced

Proper grammar and vocabulary is required.

Answers

Answer:

The fundamental difference between effective and less effective matrix organizations is whether the tension between different perspectives is creative or destructive. While various processes, systems and tools can help, what matters most is what top leadership says and does and how that flows through the organization in shared targets, clear accountabilities, live team interactions and team-building transparency and behaviors.

Getting matrix management right is linked inextricably to an organization’s culture - the only sustainable competitive advantage. Key components of a culture can be grouped into behaviors, relationships, attitudes, values and the environment.

Environment and values: Each organization has its own environment, context and bedrock values. Everyone needs to know what matters and why. Don’t try to do anything else until you’ve got that set.

Attitude is about choices: An organization’s overall strategy drives choices about which of its parts will be best in class (superior), world class (parity), strong (above average), or simplified/outsourced to be good enough. These choices help determine the need for a matrix and how best to design it.

Relationships and behaviors: This is why organizations have matrices. The most effective of them best balance focus and collaboration. They allow leaders and teams to build differential strengths and then work together to make the best possible decisions and scale enterprises with a creative tension that they could not do on their own.

My colleague Joe Durrett has worked all sides of matrix organizations in marketing at Procter & Gamble, sales and general management at Kraft General Foods and CEO of Information Resources, Broderbund Software and Advo. He has seen matrices at their best and at their worst and offered his perspective for this article along with his partners John Lawler and Linda Hlavac. The 12 ways to make matrix organizations more effective were built on their ideas.

Explanation:

3/4 + 1/2
Ashskfnrjcisj

Answers

1.25, because change the fractions into decimals and then add it from there so it would be add like, 0.75+0.5=1.25
5/4 or 1 1/4. Hdhdjvdvfjkbxb

Use an anti-seize compound on spark plugs installed in ____________________ cylinder heads.

Answers

It is recommended to use an anti-seize compound on spark plugs installed in aluminum cylinder heads.

The anti-seize compound helps to prevent the spark plug from seizing in the cylinder head, which can make it difficult to remove the plug for maintenance or replacement.

This is particularly important for aluminum cylinder heads, as aluminum is a soft metal that is more prone to seizing than other materials. The anti-seize compound creates a barrier between the spark plug and the cylinder head, reducing the risk of corrosion and seizure.

However, it is important to use the compound sparingly and only on the threads of the spark plug, as excess compound can interfere with the electrical conductivity of the plug.

Overall, using an anti-seize compound can help to extend the life of spark plugs and make maintenance easier for those working on aluminum cylinder heads.

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In Python when we say that a data structure is immutable, what does that mean?

Answers

When we say that a data structure is immutable in Python, it means that its values cannot be changed after it has been created. Any attempt to modify an immutable object will result in the creation of a new object with the updated value, rather than changing the original object. This property of immutability is useful for ensuring data integrity and avoiding accidental modifications to important data. Examples of immutable data structures in Python include strings, tuples, and frozensets.


In Python, an immutable data structure is a data structure that cannot be changed once it is created. This means that if a value is assigned to an immutable data structure, it cannot be modified later, and any operation that attempts to modify the data structure will create a new object with the modified value.For example, tuples in Python are immutable data structures. Once a tuple is created, its contents cannot be changed. If you try to modify a tuple, Python will raise a TypeError.

my_tuple = (1, 2, 3)

my_tuple[0] = 4  # This will raise a TypeError because tuples are immutable

In contrast, mutable data structures, such as lists and dictionaries, can be modified after they are created. This means that you can add, remove, or modify elements in a list or dictionary after they are created.Overall, immutability is a useful property in programming because it makes it easier to reason about the behavior of code and reduces the risk of unintended side effects. In Python, when we say that a data structure is immutable, it means that the elements within the data structure cannot be changed or modified after they are created. Some examples of immutable data structures are strings and tuples. Once an immutable object is created, its state and contents remain constant throughout its lifetime.

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Help please and please

Help please and please

Answers

So people can tell what your think

A picture showing the actual parts of a circuit and their connection is called_______ diagram

Answers

Answer:

a picture showing the actual parts of a circuit and their connection is call a Circuit diagram

An adult has a total of about 22.3 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2).

Answers

Explanation:

1 meter ≈ 3.281 ft.

so,

1 m² = 1m×1m ≈ 3.281 × 3.281 = 10.764961 ft²

now we have 22.3 ft² of skin.

that would be then

22.3/10.764961 = 2.071535605 ≈ 2.1 m² or even more rounded ≈ 2 m²

A 60 W lightbulb emits 3.5% of the input energy as visible light (average wavelength 550 nm) uniformly in all directions.(a) How many photons per second of visible light will strike the pupil (4.0 mm diameter) of the eye of an observer 2.8 m away?(b) How many photons per second of visible light will strike the pupil (4.0 mm diameter) of the eye of an observer 1.2 km away?

Answers

(a) The number of photons per second of visible light that will strike the pupil of the eye of an observer 2.8 m away from the 60 W lightbulb can be calculated.

To calculate the number of photons per second, we need to use the power of the lightbulb and the efficiency of conversion to visible light. Given that the lightbulb emits 3.5% of the input energy as visible light, we can calculate the energy emitted in visible light.

Using the energy of each photon, which is given by Planck's equation E = hf, where h is Planck's constant and f is the frequency, and the speed of light equation c = fλ, where c is the speed of light and λ is the wavelength, we can calculate the number of photons per second using the power of the lightbulb.

Once we have the number of photons per second emitted by the lightbulb, we can consider the distance between the light source and the observer. By applying the inverse square law, which states that the intensity of light decreases with the square of the distance, we can determine the number of photons that will strike the observer's eye at a specific distance.

By plugging in the given values and performing the necessary calculations, we can find the number of photons per second for both scenarios

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Rear axles are usually lubricated by the same gear oil that lubricates the differential. True or false

Answers

Answer:

true

Explanation:

Find the remaining trigonometric function of 0 if

Find the remaining trigonometric function of 0 if

Answers

Answer:

Hope this will help you

Have a good day

Find the remaining trigonometric function of 0 if

Two technicians are discussing a starter that clicks once when turning the key to the crank position. Technician A says that it could be caused by worn solenoid contacts. Technician B says it could be caused by an open ignition switch. Who is correct?
A. Technician A
B. Technician B
C. Both Technicians A and B
D. Neither Technician A nor B

Answers

Answer:

Technician A is correct.

Two technicians are discussing a starter that clicks once when turning the key to the crank position. Technician A is correct. The correct option is A.

What is a starter?

An electromagnet known as a starter solenoid is activated to turn on an internal combustion engine's starter motor. The starter solenoid then connects two contacts or metal points as the key is turned.

The starter motor receives electrical currents from the ignition through the solenoid in this way. This sets off a series of electrical reactions that ultimately start the combustion engine. The multifunctional crankshaft position sensor regulates ignition timing, measures RPM, and determines relative engine speed.

The solenoid is likely defective, and the starter may sustain serious damage as a result, if the starter engages but does not disengage when you release the key.

Therefore, the correct option is A. Technician A.

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2. Given a 50KVA single phase distribution transformer with voltage 2400/240VAC (center tapped on the secondary) and with 3.0% impedance. Using the low voltage side, solve for the following: a) Ibase, the base current, b) Zbase, the base impedance, c) Zact, the actual impedance, d) Isc, the short circuit current if a short circuit would be directly across the low voltage terminals Assume the entire impedance consists of reactance.

Answers

Answer:

a) 208.33 A

b) 1.152 Ω

c) 0.03456 Ω

d)  6943.64 A

Explanation:

Transformer ratings :

Base power ( Sb ) = 50 KVA ,  

Transformer voltage = 2400 / 240 V ,  

Impedance ( Zp.u ) = 3.0 % = 0.03

phase = single ( 1 ) phase

Base Voltage on low side ( Vb ) = 240 V

a) Calculate the base current ( Ib )

Ib = Sb / Vb = ( 50 * 10^3 ) / 240

                    = 208.33 A

b) calculate base impedance ( Zb )

Zb = Vb^2 / Sb = ( 240 )^2 / 50000

                        = 1.152 Ω

c) Calculate the actual impedance ( Zact )

Zact = Zp.u * Zbase

       = 0.03 * 1.152 = 0.03456 Ω

d) Calculate the short circuit current ( Isc )

Isc = Vp.u / Zp.u      

     = 1 / 0.03 = 33.33 p.u

therefore Isc = 33.33 * Ib

                     = 33.33 * 208.33 = 6943.64 A

A 500 kva load has a power factor of 90% lagging and is supplied by a 480 v source. Determine the three line currents

Answers

Answer:

pf=kw/kvar

Explanation: voltage p=vi

A 500 kva load has a power factor of 90% lagging and is supplied by a 480 v source. Determine the three

A performance (HC) curve for a given centrifugal pump shows that
A. Flow rate increases as the head required to overcome system resistance increases
B. Flow rate decreases as the head required to overcome system resistance increases
C. Flow rate is constant regardless of the head required to overcome system resistance
D. Pump head is constant regardless of flow rate

Answers

A performance (HC) curve for a given centrifugal pump shows that option B. Flow rate decreases as the head required to overcome system resistance increases.

How does the centrifugal pump perform?

The Centrifugal pump curves are helpful because they display metrics for the performance of the pump based on the head (pressure) the pump produces and the water flow through the pump. Impeller diameter, head, as well as the pump speed all affect flow rates.

Note that an instrument that predicts a pump's head and flow performance is a centrifugal pump performance curve. Pumps provide low volume flow rates when pumping against high-pressure heads and high volume flow rates if they are said to be pumping against low-pressure heads.

Therefore, one can say that every centrifugal pump has a curve that it follows in order to function, and every curve has a start point (the shut-off or zero flow) and an end point (the end-of-curve or the maximum flow that can be achieved without overtaxing the motor).

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Does maintaining a healthy weight cost physical stress on the body Nobel gases (inert gases) have full set of valence electrons so they DO NOT REACT with other elements. Noble gases are elements.A. stableB. unstable Pancake Island is located 9 miles east and 5 miles north of Ocean Island. Vision Island is located 10 miles duenorth of Ocean Island. Karen paddles her kayak in a straight line from Ocean Island to Pancake Island. At thepoint when Karen is closest to Vision Island, how far is she from Vision Island? In miles. I need help with 1,2,8,9, and 11Find the x-intercepts of 1 and 2.Graph 8,9,and 11. Label the axis of symmetry, the x-intercepts, and the vertex. Pedimental sculpture is extremely rare in Etruscan temple architecture. Normally the Etruscans placed their narrative statuary on which of the following elements? What functions did music serve to medieval West Africa How does the legal precedent set by the decision? Please help me. I have no idea how to solve this. "Problem 4 (15) Use the Method of Undetermined Coefficients (from our text- book) to find solution of the IVP: 7"" + (6 + 2) sin(+2). (0) = c+1 and (0) - d-1 Question 8 of 30What is an ecosystem? start a conversation with me and you get 100 points :D The degree measure of one of two complementary angles is 9 more than twice that of the other. What is one of the degree measures of the angles?A) 27 degreesB) 40 degreesC) 30 degreesD) 45 degrees What happens when the magnet moves toward the loop? describe any onr event you felt regrate in your life factors that affect one's growth A biologist studying alpine wildflowers notices that two populations of similar species are able to occupy the same niches. However, species A is mostly found at lower altitudes, while species B is mostly found at higher altitudes. What has most likely caused the realized niches of these two wildflower populations to be smaller than their fundamental niches? A. Species B requires fewer resources than species A. B. The species are involved in a mutualistic relationship. C. Species A is capable of growing faster than species B. D. Competition has restricted the ranges of both species. The role of RMP in handling cyber crimes The percent ionization of a 0.331M solution of HCN is found to be 0.00337%. What is the pH of this solution?a. 1.992 b. 2.953 c. 3.371 d. 3.992 e. 4.953 A multiple regression model is Y = 8.114 + 2.005X1 + 0.774X2Which of the following values is the estimate for the X2 slope parameter? Select one.Question 4 options:0.7742.0058.1141.000 True or false. Use logic or math to explain. Every successive derivative of the function y=0.5sin(kx) will have a larger amplitude than any of its previous derivatives as long as |k|>1.