Use DeMorgan's Theorem, as well as any other applicable rules of Boolean algebra, to simplify the following expression so there are no more complementation bars extending over multiple variables: \[ \

Answers

Answer 1

The expression to be simplified is, A + BC + ABCD. Using De Morgan's theorem, we can convert complementation bars extending over multiple variables into complementation bars over single variables. The De Morgan's theorem states that the complement of a product is equal to the sum of complements. De Morgan's Theorem:

 1.   (AB) = A + B2.  (A + B) = A B The steps to simplify the given expression using De Morgan's theorem are as follows: A + BC + ABCD = A + (BC + ABCD) = A + (BC). (ABCD) = A + (B + C) (A + B + C + D) = A + AB + AC + BC + BD = A + AC + BC + BD.

Hence, the simplified expression is A + AC + BC + BD. Thus, using DeMorgan's Theorem and other applicable rules of Boolean algebra, the given expression is simplified to A + AC + BC + BD.

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Related Questions

What would 7.68 cal/sec be if it were converted to kcal/sec?

Answers

Answer:

0.00768 kcal/sec

Explanation:

Look on a periodic table. What element has the atomic number 6?

Answers

Answer:

Carbon (see below)

Explanation:

To identify an element on the period table, you can use its atomic number—or its number of protons.

The atomic number of an element is located in the upper left-hand corner of each square in the periodic table. Refer to IMAGE.A for more info.

If you look at the periodic table, you can spot carbon in the nonmetals.

Carbon's upper left-hand corner has a 6. Refer to IMAGE.B for more info.

Look on a periodic table. What element has the atomic number 6?
Look on a periodic table. What element has the atomic number 6?

If you are on a diet is it better ro have a precise or accurate scale?

Answers

Answer:

Accurate. Accuracy is basically how "on point" it is and precision is how many times you can get it "on point"

PLEASE HELP!!
The atmosphere consists of four layers: the troposphere, the stratosphere,
the mesosphere, and the thermosphere. The troposphere and mesosphere
get colder as you go up, but the stratosphere and thermosphere get warm.
Based on that information alone, which layers are the only ones where you
would find clouds?

Answers

Answer:

The troposphere and stratosphere are the only layers where you would find clouds.

Answer: Based on the information provided, the only layers where you would find clouds are the troposphere and the stratosphere.

The troposphere is the layer of the atmosphere that extends from the Earth's surface to about 8-15 kilometers (5-9 miles) above the Earth. This is the layer where most of the Earth's weather occurs, and it is where you will find clouds, such as cumulus clouds, stratus clouds, and cirrus clouds.

The stratosphere is the layer of the atmosphere that extends from about 15-50 kilometers (9-31 miles) above the Earth. This layer is characterized by a rise in temperature with altitude, and it is where you will find clouds called stratospheric clouds, such as nacreous clouds and polar stratospheric clouds.

The mesosphere is the layer of the atmosphere that extends from about 50-85 kilometers (31-53 miles) above the Earth. This layer is characterized by a decrease in temperature with altitude, and it is generally too cold and dry to support the formation of clouds.

The thermosphere is the layer of the atmosphere that extends from about 85 kilometers (53 miles) to the edge of space. This layer is characterized by a rise in temperature with altitude, and it is generally too thin and diffuse to support the formation of clouds.

I hope this helps! Let me know if you have any other questions.

Complete the statements about convection currents. Convection currents occur in fluids because of temperature and differences. Convection currents transfer energy throughout a fluid. They continue until all of the fluid is at the same temperature.

Answers

Answer:

density; thermal

Explanation:

Convection currents occur in fluids because of temperature and density differences. Convection currents transfer thermal energy throughout a fluid.

When a fluid is heated, the molecules closest to the heat source gets heated first and their temperature is raised. The rise in temperature lowers their density and as such, they move to the upper portion of the fluid to be replaced by yet-to-be-heated molecules at the upper portion.

When the replacement molecules also get heated, the same process occurs and a to-and-from rotational movement of molecules, also known as convection current, is created within the fluid. The to and from movement, thus, transfer thermal energy within the fluid until all the molecules within the fluid are at the same temperature.

Answer

density; thermal

Explanation:

its right i just did it

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Which statement describes gravity?
There is no defined unit of measurement for gravity.
O Gravity is the force that pulls objects toward Earth's center.
Objects that have a small mass will have no gravitational pull.
Gravitational pull between two objects decreases as the mass of one increases.

Answers

Gravity is a fundamental, universal force that pulls objects toward Earth's center. It increases with mass and decreases with distance. Measured in Newtons, it affects all objects.

Gravity is the force that pulls objects towards Earth's center. Gravitational pull increases as the mass of one object increases, while it decreases as the distance between two objects increases. These statements describe gravity.Gravity is a fundamental force of nature, which means that it is always present. It holds planets and stars in their orbits around the sun, and it keeps objects on Earth's surface.Gravity is a universal force, meaning that it affects all objects in the universe. The gravitational pull between two objects is proportional to their masses and the distance between them.There is a defined unit of measurement for gravity known as Newtons. Newtons are used to measure the force of gravity acting on an object. Objects that have a small mass still have a gravitational pull, but it is weaker than objects with a larger mass.

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The correct question would be as

Which statement describes gravity? Select three options. There is no defined unit of measurement for gravity.

Gravity is the force that pulls objects toward Earth’s center.

Objects that have a small mass will have no gravitational pull.

Gravitational pull between two objects increases as the mass of one increases.

Gravitational pull decreases when the distance between two objects increases

code talker: the first and only memoir by one of the original navajo code talkers of wwii

Answers

"Code Talker: The First and Only Memoir by One of the Original Navajo Code Talkers of WWII" is a book written by Chester Nez in collaboration with Judith Schiess Avila. It is an autobiography of the author and his experiences in World War II as a Navajo code talker.

The Navajo Code Talkers were an elite group of Navajo Marines who used their language to develop a code that could not be deciphered by the enemy. The Japanese had broken all American codes, so the Marines wanted to create an unbreakable code. The Navajo language, which had no written form, was the perfect solution. Navajo Code Talkers developed an intricate code that used their language's complex syntax, tonal qualities, and dialects. It proved to be the only code that the Japanese couldn't break.

The Navajo Code Talkers took part in every major Marine operation in the Pacific, from Guadalcanal to Okinawa. Chester Nez, the book's author, was one of the original Navajo Code Talkers. He was born in New Mexico in 1921 and was educated in a boarding school where he was forbidden from speaking his native Navajo language. Chester Nez was a U.S. Marine who was recruited in 1942 and became a part of the Navajo Code Talkers program. He was a member of the 382nd Platoon and served in the Pacific, where he worked as a radio operator.

Code Talker is about the Navajo Code Talkers, the Marine unit that used the Navajo language to develop an unbreakable code that played a crucial role in the U.S. victory over Japan in World War II. The book offers a first-hand account of what it was like to be a Navajo Code Talker during the war, as well as the impact that the code talkers had on the outcome of the war. Chester Nez provides an in-depth look at Navajo culture and history while telling his own personal story of growing up on the Navajo reservation and joining the Marine Corps.

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how do droughts contribute to wildfires growing out of control. breinlist for fre

Answers

Dry circumstances are brought on by droughts, which decrease rainfall and increase evaporation, turning vegetation and other fuels into dry kindling.

How are the effects of the drought manageable?

1. Using collected rainwater. Droughts can be easily solved with this simple at-home method. Instead than depleting existing water sources like rivers, homes can save the water they receive from rain and use it when they need it in dry situations by using rainwater harvesting.

How do trees aid in the Class 6 regulation of floods and droughts?

Forests can soak up excess rainwater, preventing run-offs and damage from flooding. By releasing water in the dry season, forests can also help provide clean water and mitigate the effects of droughts.

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A sinusoidal electromagnetic wave emitted by a cellular phone has a wavelength of 36.2 cm and an electric-field amplitude of 6.20×10−2 V/m at a distance of 280 m from the antenna.
A) Calculate the frequency of the wave.
B) Calculate the magnetic-field amplitude.
C) Find the intensity of the wave.

Answers

A. the frequency of the wave

8.29×10⁸ Hz

B. the magnetic-field amplitude.

= 2.07 x 10⁻¹⁰ T

C. intensity of the wave

I = 1.08×10⁻¹⁶ W/m²

how to find the frequency of the wave

A) The frequency of an electromagnetic wave can be calculated using the equation

c = λf

where

c is the speed of light in a vacuum

λ is the wavelength and

f is the frequency.

Substituting the values

c = 3.00×10^8 m/s (speed of light in a vacuum)

λ = 36.2 cm = 0.362 m (wavelength)

f = c/λ

f = (3.00×10⁸)/(0.362 m)

f = 8.29×10⁸ Hz

B. the magnetic-field amplitude.

= E/c

= (6.20 x 10⁻² ) / (3 x 10⁸ )

= 2.07 x 10⁻¹⁰ T

C) The intensity of an electromagnetic wave

I = (cε/2) E²

where

I is the intensity

c is the speed of light in a vacuum

ε is the electric constant = 8.85×10⁻¹² F/m

E is the electric-field amplitude = 6.20×10⁻² V/m

Substituting the values given in the problem

I = (cε/2) E²

I = ((3 × 10⁸ m/s × 8.85 × 10⁻¹²) /2) (6.20×10⁻²)²

I = 1.08×10⁻¹⁶ W/m²

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The mass-radius relationship for a white dwarf star is defined by : R= (9pi)^0.66 /8 * h^2/m1 * 1/(Gm2^1.66*M^.333),

Answers

The mass-radius relationship for a white dwarf star is defined by the equation: R = \((9\pi )^{0.66}\) / 8 × \(h^2\) / m1 × 1 / (\(Gm2^{1.66}\)×\(M^{0.333}\)).

In this equation, the mass-radius relationship for a white dwarf star is calculated using the following variables:
- R represents the radius of the white dwarf star
- \((9π)^{0.66}\) is a constant term in the equation
- h represents the Planck constant
- m1 represents the mass of an electron
- G represents the gravitational constant
- m2 represents the mass of a proton
- M is the total mass of the white dwarf star

To calculate the radius (R) of a white dwarf star, follow these steps:

1. Calculate the constant term  \((9π)^{0.66}\) / 8.
2. Multiply the Planck constant (h) by itself (\(h^2\)).
3. Divide the result from step 2 by the mass of an electron (m1).
4. Multiply the result from step 3 by the reciprocal of (\(Gm2^{1.66 }\)×\(M^{0.333}\)).
5. The final result is the radius (R) of the white dwarf star.

This equation describes the mass-radius relationship for a white dwarf star, which is crucial in understanding the properties and evolution of these stellar objects.

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what is cheetah speed and strength?

Answers

Answer:

Speed: 109.4–120.7 km/h (68.0–75.0 mph)

Strength: Couldn't find out.

Explanation:

what is the weight of a 45kg box
____ N

Answers

The weight of a \(45 kg\) box is \(441.45 N\).

Weight refers to the measure of the force exerted on an object due to the gravitational pull of the Earth.

Given the mass of the box is \(m=45 kg\).

The weight of an object (\(W\)) can be found by multiplying the mass of the object (\(m\)) by the acceleration due to gravity (\(g\)).

So, \(W=mg\).

It is known that acceleration due to gravity, \(g=9.81 m/s^2\).

Hence, the weight of the box, \(W=(45kg)\times (9.81 m/s^2)\).

\(\Rightarrow W=441.45 (kg\cdot m/s^2)\\\Rightarrow W=441.45 N\)

Therefore, the weight of the box is \(441.45 N\).

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A car's gas tank contains 58.7 kg
of gasoline, which takes up
0.0814 m^3 of volume. What is
the density of the gasoline?

Answers

Answer:

721 kg/m^3

Explanation:

Trust me bro

Check for normal air pressure, release the trailer emergency brake but leave the tractor parking brake out, pull gently against the brakes in low gear. This best describes.

Answers

The given instructions describe the process of checking the brake system of a tractor-trailer by releasing the trailer emergency brake while leaving the tractor parking brake out and gently pulling against the brakes in low gear.

Step 1:

The given instructions describe the process of checking the brake system of a tractor-trailer.

Step 2:

To perform the brake system check, the first step is to ensure that the air pressure is at a normal level. This ensures that the brakes will operate properly. Next, the trailer emergency brake is released, allowing the trailer brakes to be engaged. However, the tractor parking brake is left out, allowing the tractor to move. By pulling gently against the brakes in low gear, any abnormalities or malfunctions in the brake system can be identified. If there are any issues, such as dragging brakes or uneven braking, they can be addressed and repaired to ensure safe operation of the tractor-trailer.

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a 2.15-kg, 16.0-cm radius, high-end turntable is rotating freely at 33.3 rpm when a naughty child drops 11 g of chewing gum onto it 10.0 cm from the rotation axis.

Answers

The new angular speed of the turntable is approximately 2.91 rad/s.

What is meant by rotation?

Circular movement of object around central axis or point is called rotation.

Moment of inertia of a solid disk is given by the equation: I = (1/2) * m * r²

I is moment of inertia, m is mass of the disk, and r is radius of the disk.

Initial moment of inertia of the turntable is: I₁ = (1/2) * m * r² = (1/2) * 2.15 kg * (0.16 m)² = 0.055 kg m²

Final moment of inertia of the turntable and the gum is: I₂ = I₁+ m_gum * r_gum²

m_gum is mass of gum and r_gum is distance of gum from rotation axis.

I₂ = 0.055 kg m² + 0.011 kg * (0.11 m)² = 0.066 kg m²

L₁ = I₁ * w₁

w1 is initial angular speed of turntable in radians per second.

w1 = (33.3 rpm) * (2π rad/rev) / (60 s/min) = 3.49 rad/s

Final angular momentum of the system (turntable and gum) is:

L₂ = I₂ * w₂

w₂ is final angular speed of turntable in radians per second.

As angular momentum is conserved : L₁ = L₂

I₂ * w₂ = I₂ * w₂

w₂ = (I₁ / I₂) * w₁ = (0.055  / 0.066 ) * 3.49  = 2.91 rad/s

Therefore, the new angular speed of the turntable is approximately 2.91 rad/s.

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Note: The question given on the portal is incomplete. Here is the complete question.

Question : A 2.15-kg, 16.0-cm radius, high-end turntable is rotating freely at 33.3 rpm when a naughty child drops 11 g of chewing gum onto it 11.0 cm from the rotation axis. Assuming that the gum sticks where it lands, and that the turntable can be modeled as a solid, uniform disk, what is the new angular speed of the turntable

A 2.0 Kg box is being pulled up a ramp with a force of 25.0 Newtons. The ramp has an incline of 30 degrees. If the coefficient of friction is 0.752, find the acceleration of the block up the ramp. You may round your answer to the nearest tenth where necessary!!!

Answers

Answer:

The acceleration of the block is 1.21 m/s².

Explanation:

Given that,

Mass = 2.0 kg

Force = 25.0 n

Angle = 30°

Coefficient of friction = 0.752

We need to calculate the acceleration of the block

Using balance equation

\(F-(mg\sin\theta+\mu mg\cos\theta)=ma\)

Put the value into the formula

\(25-(2.0\times9.8\sin30+0.752\times2.0\times9.8\cos30)=2.0a\)

\(a=\dfrac{25-(2.0\times9.8\sin30+0.752\times2.0\times9.8\cos30)}{2.0}\)

\(a=1.21\ m/s^{2}\)

Hence, The acceleration of the block is 1.21 m/s².

Sal sprints 40 m to the right in 5.5s.
What was his average velocity in m/s?

Answers

Answer:

7.27 m/s

Explanation:

You would be dividing 40 (distance) by 5.5 (time) to get the average velocity of 7.27 m/s .

Answer:

7.27

Explanation:

40/5.5=7.27

will mark brainliest!

will mark brainliest!

Answers

Answer:

b=t-p(m-n)/s

Explanation:

1. Which of the following statements is false? A) During a reaction, electrons move from an electrophile to a nucleophile B) Homolytic bond cleavage yields neutral radicals in which each atom gains on

Answers

The false statement is B) Homolytic bond cleavage yields neutral radicals in which each atom gains one electron.

In homolytic bond cleavage, each atom retains one electron from the shared pair of electrons, resulting in the formation of two neutral radicals, where each atom retains its original number of electrons.

No atoms gain or lose electrons in this process.

In a homolytic bond cleavage, a covalent bond is broken, and the shared pair of electrons is split equally between the two atoms involved in the bond.

This results in the formation of two neutral radicals, with each atom retaining one of the electrons from the shared pair.

A radical is a chemical species characterized by the presence of an electron that is unpaired, meaning it does not have a partner electron with which it forms a complete pair. When a covalent bond is homolytically cleaved, each atom involved in the bond gains one electron, resulting in the formation of two radicals.

These radicals are highly reactive due to the presence of the unpaired electron, which makes them prone to participate in further chemical reactions.

It's important to note that in homolytic bond cleavage, there is no transfer of electrons from one atom to another.

Instead, the bond is broken in a way that allows each atom to retain one of the electrons, leading to the formation of two neutral radicals.

Therefore, statement B, which suggests that each atom gains one electron, is false.

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What is the current produced by a 9-volt battery flowing through a resistance of 0.2 ohms?

Answers

Answer:

45 Ampere

Explanation:

R=V/I I=V/R V = 9 R=0.2 I = 9/0.2 = 9×10/0.2×10 =90/2 ie, I =45 A

The current produced by a 9-volt battery flowing through a resistance of 0.2 ohms would be  45 Ampere.

What is resistance?

Resistance is the obstruction of electrons in an electrically conducting material.

The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.

V=IR

As given in the problem we have to find the current produced by a 9-volt battery flowing through a resistance of 0.2 ohms.

current produced by a 9-volt battery  = voltage /resistance

                                                              = 9 volt /0.2 ohms

                                                              = 45 Ampere

Thus, the current produced would be 45 Ampere.

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Which mineral has a blue color and will scratch the garnet?

Topaz
Pyrite
Magnetite
Garnet
Augite
Talc

Which mineral has a blue color and will scratch the garnet? TopazPyriteMagnetiteGarnetAugiteTalc

Answers

Answer:

Topaz

Explanation:

It's harder than garnet and comes in various colors

Answer:

garnet

Explanation:

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Second choice

Explanation:

I suppose ME is the same as POTENTIAL energy

ME = mgh =  70 * 10 * 12 = 8400j

  Half way down,   4200 j is converted to Kinetic Energy

       1/2 m v^2 = 4200

       1/2 (70)  v^2 = 4200       v = 10.95 m/s

  Just before impact ALL of the 8400 j is now KE
      1/2 (70)v^2 = 8400          v = 15.49 m/s

Someone pls help……….

Someone pls help.

Answers

Answer:

Explanation:

By makingthe elctro fleild into a mass - field

which statement explains why a strip of sulfur is a better electrical insulator than a strip of silicon

Answers

Answer:

A strip of sulfur is a better electrical insulator than a strip of silicon due to the fundamental differences in their electronic structures and properties.

1. Band Gap: Silicon is a semiconductor with a relatively narrow band gap, whereas sulfur is a non-metal with a wider band gap. The band gap is the energy difference between the valence band (filled electron states) and the conduction band (empty electron states). A wider band gap in sulfur means that it requires a higher amount of energy to promote electrons from the valence band to the conduction band. Consequently, sulfur is less likely to allow electron flow and is a better insulator compared to silicon.

2. Conductivity: Silicon has a higher intrinsic conductivity compared to sulfur. Intrinsic conductivity refers to the ability of a material to conduct electricity in its pure form, without any impurities or additional dopants. Silicon has a well-defined crystal lattice structure that allows for the movement of electrons more easily than sulfur. This higher intrinsic conductivity of silicon makes it a poorer electrical insulator compared to sulfur.

3. Dielectric Strength: Sulfur typically exhibits a higher dielectric strength than silicon. Dielectric strength refers to the maximum electric field a material can withstand before it starts to conduct electricity or break down. Sulfur's molecular structure and properties give it a higher dielectric strength, enabling it to withstand higher electric field intensities without experiencing electrical breakdown or becoming a conductor.

It is important to note that the electrical properties of both sulfur and silicon can be modified by introducing impurities or altering their structures, making them useful for various applications in electronics and electrical engineering.

name the phenomenon in which the colors of light depend on the viewing angle

Answers

Iridescence is the name of the phenomena in which the colors of light depend on the viewing angle.

Iridescence is also known as goniochromism. It is an optical phenomenon in which color of the surface appears to change with the different angle of observation. In this certain types of surfaces that appear to gradually change their colors as the viewing angle or the angle of illumination changes.

Some examples of iridescence include feathers, soap bubbles, seashell nacre, and butterfly wings and minerals such as opal. This effect takes place due to the wave interference of light in microstructures or thin films.

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The assumption that there is no energy loss is not accurate. Assuming the spring has a spring constant of 100Nm-1 and has a length change of 2 cm, the track is on a level surface, and that the final velocity of the car is 0.25 ms-1 when it reaches the end of the track, what is the percentage efficiency of the toy? Take the mass of the car to be 150 g

Answers

The toy percentage efficiency is 23%.

Solution:

The kinetic energy is:

KE = \(\frac{1}{2} mv^{2}\)

KE = \(\frac{1}{2} *(150)(0.25)^2\)

KE = 4.6875 J

The elastic potential energy is:

E = 0.5 x 4 x 10 = 20

E = 100 J

The percentage efficiency of the toy is found as:

%n = \(\frac{4.6875*100}{20}\)

%n = 23%

The more the elastic material is stretched the greater the potential for elastic energy storage. The amount of elastic potential energy stored in a stretched spring can be calculated using the formula: Work is done when the spring expands and contracts.

Springs store elastic potential energy. If no inelastic deformation has occurred, the work done is equal to the stored elastic potential energy. As the spring constant increases for a constant applied force, the spring deflection decreases as the spring stiffness increases.

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Derive velocity-time relation from velocity-time graph ​

Answers

Explanation:

hope this helps you

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Derive velocity-time relation from velocity-time graph

What is a scientific model?

What is a scientific model?

Answers

Answer:

scientific model is a physical and/or mathematical and/or conceptual representation of a system of ideas, events or processes. Scientists seek to identify and understand patterns in our world by drawing on their scientific knowledge to offer explanations that enable the patterns to be predicted.

Answer:

D

Explanation:

3
A toy with a parachute falls vertically from the top of a tall building at 3.0 m/s. Wind causes it to move horizontally
at 1.6 m/s.
Figure 1.8
(a) In Figure 1.8, draw a scale vector diagram to show the resultant velocity of the toy. State the scale you have used.

Answers

The resultant velocity of the parachute is 3.4 m/s.

What is the resultant velocity?

The term resultant velocity refers to the effective velocity  with which the parachute moves. We know that velocity is a vector quantity. Recall that a vector is known to have both magnitude and direction.

Given that the magnitude of the resultant vector can only be obtained geometrically we have;

Vertical component =   3.0 m/s

Horizontal component = 1.6 m/s

Resultant velocity = √(3)^2 + (1.6)^2

= 3.4 m/s

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If the proper voltage is supplied to an electric heating element and it does not get hot,
A. the circuit breaker needs to be reset.
B. the fusible link has melted.
C. the heater is defective.
D. the limit switch is open.

Answers

If the proper voltage is supplied ,the possible causes could be a defective heater or an open limit switch. The correct options are C) the heater is defective or D) the limit switch is open.

When an electric heating element does not get hot despite the proper voltage being supplied, there are a few potential reasons for this issue. Firstly, the heater itself may be defective.

There could be a problem with the heating element, such as a broken or burnt-out filament, a faulty connection, or internal damage. If the heater is defective, it will not generate heat even when the correct voltage is applied.

Alternatively, the limit switch may be open. A limit switch is a safety device designed to shut off power to the heating element if certain conditions, such as excessive temperature or pressure, are detected. If the limit switch is open, it disrupts the circuit and prevents the heating element from receiving power, resulting in no heat production.

It is important to note that the circuit breaker being reset or the fusible link melting would not directly cause the heating element to not get hot. The circuit breaker is a protective device that trips to interrupt the flow of electricity when there is an overload or a short circuit.

Resetting the circuit breaker may be necessary if it has tripped, but it is not the primary cause of the heating element not heating. Similarly, a fusible link melting is typically associated with protecting the circuit from excessive current flow, but it does not directly impact the heating element's functionality.

In summary, if the proper voltage is supplied to an electric heating element and it does not get hot, the likely causes are a defective heater or an open limit switch.

The heater may have internal issues preventing it from generating heat, while the limit switch being open interrupts the power supply to the heating element. Therefore, the correct options are C) the heater is defective or D) the limit switch is open.

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Simplify the equation -3 (-2/5) Helpppppppppp meeeeeee pleaseeeeeeeee Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? find the x and y intercept6.8x+8.8y+9.8=0 please help me with this!!!!!!!!!!!!!!!!!!!!!!!!!1 PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE QUESTION PLEASE WILL GIVE BRAINLY ONLY IF ALL QUESTONS CORRECT due to its hydrophilic channels, porins allow the passage of group of answer choices small water-soluble nutrients. sugars. amino acids. inorganic ions. all of the above. Robert is a strategic planner for a consulting firm. He receives countless reports for daily analysis, but he avoids being inundated with information by selecting only the few reports that actually serve his purpose. Which principle of data characterization is Robert following?a. Freely available data is always accurate and timely.b. Collecting as much data as possible is always preferable.c. Information should be just barely sufficient for its purpose.d. Data that arrives after a prolonged period of time is of the highest quality.e. Information needs to be relevant to the subject, not necessarily to the context. What is the process called when two glucose molecules bond together to form adisaccharide and why is it important. Two-year-old Alex is putting together a puzzle for the first time. Alex's mother notices that he has difficulty matching the correct pieces so she sits down and helps him construct the outside edges of the puzzle. As Alex begins to see the picture more clearly, he is able to find the correct places for the remaining puzzle pieces. As a result, his mother withdraws her support. This example illustrates Vygotksy's Will the sign of the product of two negative numbers be negative or positive? Explain your answer. * Mike and hallie are going to a movie. together they bring $60 in cash. hallie brings three times as much cash as mike does. let m be the amount of money mike brings and let h be the amount of money hallie brings. create a system of equations that models the information given in this problem and solve it to determine how much each brought to the movie. Merissa and mykuria are planning a trip to Orlando to celbrate graduation. They want to buy a three-day ticket to their favorit but the also need to find a place to stay during their trip. theme park, which costs $299 per person but they also need ti find a place to stay during their trip. They found a beatiful vacation rental in Orlando that has room for a number of guests and costs a total of $872.50. If Marissa and Mykuria are able to fill the room up to its maximum capacity with their friends, the price that each person would have to pay for the entire trip would be 361.25. In a well-organized paragraph of at least 5 sentences, provide responses for 2 of the following.a. According to Vygotsky, what is the best way to promote cognitive development ofyoung children?b. What cognitive advantages and disadvantages would today's youth, who rely heavily oncommunications technology, have when compared to people who were young thirtyyears ago?" What do you think is the best way to sum up the broadness and diversity of World Literature? the term describes an object that is shaped like a bot [a] 0.2Convert to a single fraction a) A flat roof is very susceptible to wind damage during a thunderstorm and/or tornado. If a flat roof has an area of 780 m2 and winds of speed 41.0 m/s blow across it, determine the magnitude of the force exerted on the roof. The density of air is 1.29 kg/m3.N(b) As a result of the wind, the force exerted on the roof is which of the following?upwarddownward Michael puts $600 in a savings account that increases with a 5.25% interest compounded annually. Write a function that represents the amount of money in Michael's account and find how much money will Michael have in his account after 6 years if there are no withdrawals or deposits. Round to the nearest cent. In order to reproduce, many flowering plants use external agents, such as insects or birds, to aid in the pollination process. What function do the color and odor of the flowers provide for the flowering plants? A. They attract birds and insects which aid in the pollination process. B. They scare off larger animals that eat plants. C. They help the plant feel happy and confident. D. They keep the pollinating insects from eating the plants.