If p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923, what is probability of a or b. to four decimal places? select one.

Answers

Answer 1

Answer:

p(a) * p(b) = .01923

p(b) = .01923 / .07692 = .2500

Answer 2

The probability of a or b will be equal to 0.30769.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of the total sample points in A U B is P(A U B). The probabilities of sample points in A and B are now added together as P(A) + P(B). To get the total of probabilities in (A U B), which is P, we need to subtract once because we added the sample points in (A B) twice (A U B).

Given that p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923. The probability will be calculated by using the formula below:-

P(A) = 0.07692

P(B)=0.25

P(A[tex]\cap[/tex]B) = 0.01923

P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)

P(AUB) = 0.07692 + 0.25 - 0.01923

P(AUB) = 0.30769

Therefore, the probability of a or b will be equal to 0.30769.

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Related Questions

what was kobes passion for sports

Answers

To not die in a helicopter crash

An astronomer discovers a new star and wants to measure its temperature. She would typically do this by:____.

Answers

An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.

What is the maximum wavelength peak?

The maximum wavelength peak is the portion of the wave where a given chemical substance/object exhibits its maximum strongest value of photon absorption.

On the other hand, the blackbody curve of an object is the graphical diagram that shows the distribution of the radiation emitted by this particular substance.

In conclusion, An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.

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The electric field of an atom in an ionized helium atom, the most probable distance between the nucleus and the electron is r = 26.5 x 10-12m. what is the electric field due to the nucleus at the location of the electron?

Answers

The electric field due to the nucleus at the location of the electron is 4.101 × 10¹² N/C.

Given:

Distance between the electron and nucleus, r = 26.5 × 10⁻¹² m

Charge on an electron, Q = 1.6 × 10⁻¹⁹ C

Calculation:

We know that the Helium atom (He²⁺) has an atomic number Z = 2  and an atomic mass number A = 2 ( 2 protons + 2 neutrons). Thus the charge of a helium atom can be calculated as:

Q' = +2e = 2(+1.6 × 10⁻¹⁹ C) = 3.2 × 10⁻¹⁹ C

We know that the electric field on charge Q due to the nucleus is given as:

E = kQ' / r²

where E is the electric field

           k is Coulomb's force constant

           Q' is a  charge ona  Helium atom

           r is the separation distance between the electron and nucleus

Applying values in the above equation we get:

E = (9×10⁹ Nm²/C²) (3.2 × 10⁻¹⁹ C) / (26.5 × 10⁻¹² m)²

  = 4.101 × 10¹² N/C

Thus, the electric field on electrons due to the Helium nucleus is of magnitude 4.101 × 10¹² N/C.

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A satellite with a mass of 110 kg and a kinetic energy of 3.0 ´ 109 J must be moving at a speed of

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Answer: A satellite with a mass of 110 kg and a kinetic energy of 3.08×10^9 J must be moving at a speed of 7483 m/s.

Explanation: To find the answer we need to know about the kinetic energy of a body.

How to solve the problem the equation of kinetic energy?We have the expression for kinetic energy of a body as,

                                   [tex]KE=\frac{1}{2}mv^2[/tex]

Given that,

                                   [tex]m=110kg\\KE=3.08*10^9J\\[/tex]

We have to find the speed of the satellite,

                               [tex]v=\sqrt{\frac{2KE}{m} } =\sqrt{\frac{2*3.08*10^9}{110} } =7.483*10^3 m/s[/tex]

Thus, we can conclude that, the velocity of the satellite will be 7438m/s.

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In order to move at a speed of 7483 m/s, a satellite with a mass of 110 kg and a kinetic energy of 3.08× 10^-9 J must be travelling.

Understanding a body's kinetic energy is necessary in order to determine the solution.

How can the kinetic energy equation be solved?The phrase "kinetic energy of a body" might be used as,

                         [tex]KE=\frac{1}{2}mV^2[/tex]

Given that,

               [tex]m=110kg\\KE=3.08*10^9J[/tex]

We must determine the satellite's speed.

                        [tex]V=\sqrt{\frac{2KE}{m} }=7.48km/s[/tex]

Thus, we can infer that the satellite will move at a speed of 7438 m/s.

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Several short trips taken from a cold start can use ....... as much fuel as a longer multi-purpose trip covering the same distance when the engine is warm.

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Several short trips taken from a cold start can use ...twice... as much fuel as a longer multi-purpose trip covering the same distance when the engine is warm.

In cold weather, properly designed gasoline aids in engine starting, while in hot weather, it helps prevent vapor lock. In order to meet the requirements of a modern engine, the fuel must have the volatility for which the engine's fuel system was built and an antiknock quality strong enough to prevent knock during routine operation.

During the intake phase, the air and fuel are combined before being introduced into the cylinder. The spark ignites the fuel-air mixture after the piston compresses it, resulting in combustion. During the power stroke, the piston is propelled by the expansion of the combustion gases.

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A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is:

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A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

To find the answer, we need to know about the magnetic field due to a solenoid.

What is the magnetic field due to a solenoid?A solenoid is an insulated wire wound in the form of a helix. Its length is very large compared to its diameter.The magnetic field due to solenoid carrying current [tex]I[/tex] can be written as,

                             [tex]B=[/tex] μ₀n [tex]I[/tex]

                               [tex]n=\frac{N}{l}[/tex]

We have an expression for magnetic flux as,

                            Φ [tex]= BA[/tex] Where, A is the area.

Substituting above value of magnetic field in the expression of magnetic flux, we get,

                                       Ф [tex]= \frac{NIA}{l}[/tex] μ₀

In terms of inductance, we can express the magnetic flux linked with the coil as,

                                        Ф [tex]= LI[/tex]

By equating above two equations of magnetic flux, we get the expression for inductance as,

                                        μ₀ ( [tex]\frac{N^2A}{l}[/tex] ) [tex]I[/tex]  [tex]=LI[/tex]

                                         [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

Thus, we can conclude that the expression for inductance is  μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

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The inductance of a solenoid having N number of turns, area A and a length l will be equal to μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

We need to understand the magnetic field created by a solenoid in order to determine the solution.

What does a solenoid's magnetic field look like?An insulated wire twisted into a helix is what makes up a solenoid.Compared to its diameter, its length is significantly larger.It is possible to express the magnetic field caused by a solenoid carrying current as,

                                    [tex]B=\frac{NI}{l}[/tex]×μ₀

We can express magnetic flux as follows:

                                   [tex]flux=BA[/tex]  , A is the area.

In the formula for magnetic flux, we obtain by substituting the above magnetic field value:

                                      [tex]flux=\frac{NIA}{l}[/tex] times the μ₀.

The magnetic flux associated with the coil can be expressed in terms of inductance as follows:

                                        [tex]flux=IL[/tex]

We obtain the expression for inductance as, by combining the aforementioned two magnetic flux equations.

                                     μ₀ ( [tex]\frac{N^2AI}{l}[/tex])= [tex]LI[/tex]

                                     [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

As a result, we can say that the inductance expression is   [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

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If m=2000 p=2. 25 and y=6000 what is velocity

Answers

The velocity of the money at the given price, and amount of money in the time frame is 6.75.

What is Velocity of money?

The velocity of money is a measurement of the rate at which money is exchanged in an economy.

It is the number of times that money moves from one entity to another.

It also refers to how much a unit of currency is used in a given period of time.

MV = PY

V = PY/M

where;

P is priceY is transaction in time frameM is amount of money

Substitute the given parameters and solve for velocity;

V = (2.25 x 6000) / 2000

V = 6.75

Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.

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The kinetic energy of a 23.2-g object moving at a speed of 81.9 km/hr is ________ j.

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Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.

Kinetic energy is represented by the following formula:

Ec = ½ mv²

Where:

Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg). v is velocity measured in meters over seconds (m/s).Kinetic energy in this case

In this case, you know:

Ec= ?m=  23.2 g= 0.0232 kg (being 1 g= 0.001 kg)v= 81.9 km/h= 22.75 m/s (being 1 km/h= 0.277778 m/s)

Replacing in the definition of kinetic energy:

Ec = ½ 0.0232 g×(22.75 m/s)²

Solving:

Ec= 6.004 J

Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

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Define mass .Also write the table showing the relation of 'kg' with it's sub- multiples and multiples.​

Answers

Answer:

the quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Answer:

The quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Explanation:

Dr. Albert gets a spark from the static in the door knob. He is not hurt. However, the electric _____ is high.

Answers

Dr. Albert gets a spark from the static in the door knob. He is not hurt. However, the electric current is high.

What is the static spark?

Sparks that are considered "static" have a massive momentary current and power (momentary like less than a millionth of a second.) However, the overall wattage of these sparks is exceedingly low. It's really too little to harm your muscles with heat (or even any warming a thermometer could detect.)

Negative and positive charges in an object must balance out for static electricity to occur. These charges may accumulate on an object's surface until they can be released or discharged. They can be discharged via a circuit, for example.

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What is the energy of an electromagnetic wave that has a wavelength of
7.0 x 10-12 m? Use the equation E= hc where hc = 1.99 × 10-25 J-m.
OA. 2.8 × 10-14 J
OB. 1.4 x 10-36 J
OC. 9.0 x 10-37 J
OD. 7.2 x 1035 J
SUBMIT

Answers

Answer:

A: 2.8 * 10^(-14) J

Explanation:

Formula to find the energy is;

E = hc/λ

Where;

E is energy of a photon (E)

λ is wavelength of the light

c is speed of light

Thus;

E = (1.99 *10^(-25))/(7 * 10^(-12))

E = 2.8 * 10^(-14) J

A convex lens has a focal length f. An object is placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image is located at what distance from the lens

Answers

The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

What is convex lens?

A convex lens is the name given to any converging lens.

A converging lens or convex lens is a lens that converges rays of light that are traveling parallel to its principal axis.

What is focal length?

The focal length, f of a lens is  the distance between the center of a lens  and its focus.

Object placed between infinity and 2f

For an object that is placed between infinity and double of the distance from focal point, along a line perpendicular to the center of the lens,

The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

Thus, for an object placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

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What type of energy drives plate motion?
a) external
b) internal
c) gravitational
d) radiative

Answers

b) internal energy drives plate motion

Lithospheric plates are part of a planetary scale thermal convection system. The energy source for plate tectonics is Earth’s internal heat while the forces moving the plates are the “ridge push” and “slab pull” gravity forces.

A tectonic plate (also called lithospheric plate) is a massive, irregularly shaped slab of solid rock, generally composed of both continental and oceanic lithosphere.

The motion of tectonic plates is driven by convection in the mantle. Convection: The process of heat transfer from one part of a fluid to another part by the actual movement of the particles of the fluid is called convection. Liquid and gases are heated by the process of convection.

In simple terms, convection is the idea that dense, cold things sink, and buoyant, warm things rise. In the earth the cold sinking things are slabs (subducting plates) and the warm things are plumes, or just rising material from deeper in the mantle.

hence , correct option is b) internal

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(a) What is the resistance of a lightbulb that uses an average power of 120 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V

Answers

Resistance of a lightbulb is 240.8 ohm

Given:

Power = 120 W

Frequency = 60.0-Hz

Voltage = 170 V

To Find:

Resistance of a lightbulb

Solution: The electrical resistance of a circuit is the ratio between the voltage applied to the current flowing through it. Rearranging the above relation, R = V I. The unit of electrical resistance is ohms.

The resistance of the light bulb is given by the formula, R=V²/P

R = (170)^2/120

R = 240.8 ohm

Hence, the resistance of light bulb is R = 240.8 ohm

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The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed

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The apparent weight of a 1.1 g drop of water is 4.24084 N.

What is Apparent Weight?According to physics, an object's perceived weight is a characteristic that describes how heavy it is. When the force of gravity acting on an object is not counterbalanced by a force of equal but opposite normality, the apparent weight of the object will differ from the actual weight of the thing.By definition, an object's weight is equal to the strength of the gravitational force pulling on it. It follows that even a "weightless" astronaut in low Earth orbit, with an apparent weight of zero, has almost the same weight that he would have if he were standing on the ground; this is because the gravitational pull of low Earth orbit and the ground are nearly equal.

Solution:

N = Speed of rotation = 1250 rpm

D = Diameter = 45 cm

r = Radius = 22.5 cm

M = Mass of drop = 1.1 g

Angular speed of the water = [tex]\omega = \frac{2\pi N}{60}[/tex]

[tex]\omega = \frac{2\pi \times 1250}{60}[/tex]

[tex]\omega = 130.89 rad/s[/tex]

Apparent weight is given by

[tex]W _a = M\omega^{2}R[/tex]

[tex]W_a = 1.1 \times 10^-^3\times (130.89)^2\times 0.225[/tex]

[tex]W_a[/tex] = 4.24084 N

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Question:

The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader's spin cycle, the 45-cm-diameter drum spins at 1250 rpm around a vertical axis. What is the apparent weight of a 1.1 g drop of water?

Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is negligible. How is the motion of the center of mass affected by the explosion

Answers

The center of mass isn't affected by the explosion.

To find the answer, we need to know about the trajectory of motion at zero external force.

How is the trajectory of an object changed when the net external force on it is zero?When there's no net external force acting on an object, its momentum doesn't change with time. As its momentum doesn't change, so it continues with the original trajectory.Why doesn't the trajectory of firework change when it's exploded?When a firework is exploded, its internal forces are changed, but there's no external force. So, although the fragments follow different trajectories, but the trajectory of center of mass remains unchanged.

Thus, we can conclude that the center of mass isn't affected by the explosion.

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What kind of physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time

Answers

Cosmology  physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.

Astronomy's field of cosmology examines the beginnings and development of the universe, from the Big Bang through the present and into the future. The current cosmological model for the development of the universe is the Big Bang theory, which relies on the validity of general relativity. There is a singularity there as well.

According to the Big Bang theory, the cosmos was once compressed into an infinitely small point 13.77 billion years ago. Prior to 10-43 seconds after the Big Bang, during the Planck Era, gravity, nuclear strong, nuclear weak, and electromagnetic forces are thought to have been merged into a single "super" force.

Therefore, cosmology  physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.

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Which has a higher reduction potential — silver or iron?

Answers

Answer:

Fe

Explanation:

Dựa vào dãy hoạt động hóa học của kim loại

Water falls without splashing at a rate of 0.400 L/s from a height of 2.20 m into a 0.720-kg bucket on a scale. If the bucket is originally empty, what does the scale read 3.60 s after water starts to accumulate in it

Answers

The reading of the scale after 3.6 seconds is 23.79 N.

Velocity of the water

v = √2gh

v = √(2 x 9.8 x 2.2)

v = 6.57 m/s

Rate of change of momentum of the water after impact

mv/t = F = 0.4 x 6.57 = 2.628 N

Weight of the bucket

Wb = 0.72 x 9.8

Wb = 7.056 N

Weight of the accumulated water

Wa = (RT)g

Wa = (0.4 x 3.6) x 9.8

Wa = 14.11 N

Reading of the scale

R = Wa + Wb + F

R = 14.11 N  +  7.056 N  +  2.628 N

R = 23.79 N

Thus, the reading of the scale after 3.6 seconds is 23.79 N.

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The radial velocity method preferentially detects: Choose one: A. all of the above described planets equally well. B. small planets far from the central star. C. small planets close to the central star. D. large planets close to the central star. E. large planets far from the central star.

Answers

The radial velocity method preferentially detects large planets close to the central star

what is the Radial velocity:

The radial velocity technique is able to detect planets around low-mass stars, such as M-type (red dwarf) stars.

This is due to the fact that low mass stars are more affected by the gravitational tug of planets.

When a planet orbits around a star, the star wobbles a little.

From this, we can determine the mass of the planet and its distance from the star.

hence we can say that,

option D is correct.

The radial velocity method preferentially detects large planets close to the central star

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Which orbitals do not have a node at the nucleus?

Answers

Answer:

The 1st orbital has no nodes.

Explanation:

A 2s orbital has 1 node and a 1s orbital has no nodes, therefore it is higher in energy than a1s orbital. Also, a 2s orbital is higher in energy because the radius is larger than for a 1s orbital and, therefore, the probability of finding an electron farther from the nucleus is greater in a 2s orbital.

The number of nodes is equal to (n-1) therefore, 1s-orbitals do not have any node at the nucleus.  

What is a node?

A node is a point where the probability of finding an electron is zero. For a given orbital, the two kinds of nodes are radial nodes and angular nodes.

A radial node is a spherical plane where the probability of finding an electron in an orbital is zero. The number of radial nodes increases with the principal quantum number (n) as it is given by (n- l - 1) and is also known as a nodal region.

An angular node is a plane that passes through the nucleus. The angular node is given by the azimuthal quantum number 'l' and is also known as a nodal plane.

The total number of nodes in orbitals is equal to n - 1. Therefore, the nodes in 1s -orbital (1-1) = 0.

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In 2020, UMass Amherst professors Jun Yao and Derek Lovley invented a generator to create electricity from:

Answers

moisture in the air

Electrical engineer Jun Yao and microbiologist Derek Lovley have developed a device that uses a natural protein to create electricity from moisture in the air, a new technology they say could have significant implications for the future of renewable energy, climate change, and the future of medicine.

What is electricity from moisture in the air ?

Air Generator," or “Air-Gen,” with electrically conductive protein nanowires produced by the microbe Geobacter, discovered by Lovley some years ago.

The Air-Gen connects electrodes to the protein nanowires in such a way that electrical current is generated from the water vapor naturally present in the atmosphere.

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question is down below need rply fast

Answers

The X and Y components are as follows;

1. X = 35 * cos 57 = 19. 1m/s; Y = 35 * sin 57 = 29.4 m/s

2. X = 12 * -cos 34  = -10 m/s; Y = 12 * -sin 34 = -6.7 m/s

3. X = 8 * -cos 90  = 0 m/s; Y = 12 -sin 90 = -8 m/s

4. X = 20 * cos 75 = 5. 2m/s; Y = 20 * (-sin 75) =  -19.3 m/s

What are the horizontal and vertical components of the vectors?

The horizontal and vertical components of the velocities are given as follows:

Horizontal component, X = x cos θVertical component, Y = y sin θ

1. 35 m/s at  57° from x-axis

X = 35 * cos 57 = 19. 1m/s

Y = 35 * sin 57 = 29.4 m/s

2. 12m/s at 34° S of W

X = 12 * -cos 34  = -10 m/s

Y = 12 * -sin 34 = -6.7 m/s

3. 8 m/s at South

X = 8 * -cos 90  = 0 m/s

Y = 12 -sin 90 = -8 m/s

4. 20 m/s at  275° from x-axis

X = 20 * cos 75 = 5. 2m/s

Y = 20 * (-sin 75) =  -19.3 m/s

In conclusion, the X and Y components are found by taking cosines and sine of the angles.

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Analog signals from sensors are changed to digital signals for processing by the computer through which type of circuit?

Answers

Analog signals from sensors are changed to digital signals for processing by the computer through analog to digital converter circuit.

What is a Circuit?

This is referred to as a path in which electric current flows and comprises of components such as resistor, capacitor etc.On the other hand, analog to digital converter circuit is responsible for the conversion of the analog signals to digital or binary forms and is read through the use of a microcontroller.

The digital signal is what is in vogue as of today due to its synergy with modern electric devices which are common in today's world which explains the need for the conversion to this type of signal.

This is therefore the reason why analog to digital converter circuit was chosen as the most appropriate choice in this type of scenario.

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An object is at a position of 15 cm from a diverging lens with a virtual focal point of 8 cm. The location of the image is

Answers

Answer:  The location of the image is -5.2cm

An 80-N crate is pushed at constant speed for a distance of 5.0 m upward along a smooth inclined plane that makes an angle of 30o with the horizontal. If the force on the crate is parallel to the slope, what is the work done by the pushing force? Group of answer choices 260 J 200 J 61 J 140 J -200 J

Answers

The work done by the pushing force is 200 J; option B.

What is work done in an inclined plane?

The work done in an inclined plane is given by the formula below:

Work done = Force * distance

Force, F = mgsinθ + ma

where a = 0

Work done = 80 * 5 * sin 30°

Work done = 200 J

In conclusion, work done is the product of force and distance.

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About how many kwh does the solana parabolic trough solar array generate in a month?

Answers

An array of this size can produce an average of 350-850 kWh of AC energy per month.

Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.

Solar panel systems are measured in terms of kW. A common size solar panel array is usually around 5kW. An array of this size can produce an average of 350-850 kWh of AC energy per month.

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What is the lowest acceptable overvoltage category rating for an ammeter that will be used to test outdoor conductors

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CAT IV is the lowest acceptable overvoltage category rating for an ammeter.

What is CAT IV rating?

According to IEC 1010 and UL61010-1 standards, the overvoltage installation categories for low voltage systems of less than 1000 Volts test equipment are described by the CAT III & IV ratings. This describes a component's capacity to withstand transient or impulsive voltage. Our voltage indicators meet the necessary standards to be utilized as permanently mounted test equipment for fixed installations such switchgear, MCCs, bus and feeder in industrial plants, and low voltage connections to utility power.

A component can be positioned or utilized further downstream from the voltage source the lower the number, which also indicates how much less impulse it can withstand. Installation at the origin or at the utility level falls under CAT IV, the highest classification. Our products have a 600V at CAT IV. 

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When you lift a book from the ground to your desk, what kind of work do you do, negative or positive

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When you lift the book, you are doing positive work

Because the force you apply to the book is in the same direction as its displacement, lifting it is considered positive work. Inverse work is being done by gravity. The gravitational potential energy of the object increases as you elevate the book.

What is Work ?

The product of an object's displacement and the component of the applied force that is directed in the direction of the object's displacement is known as the work done by a force.

Positive Work: When a force is applied to an object in its direction of motion, it is said to have been performed positively.Negative Work Done: When a force is applied to an object in the wrong direction, the work is said to be negative.

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In an MRI, the magnetic field B is generated by a solenoid of length 100 cm and diameter of 90 cm. The B field generated is one (1) T. The largest current the wire can carry is 76 A. _____ turns of solenoid is needed.

Answers

Given,

L=100 cm=0.1 m

D=90 cm

B=1 T

I=76 A

B*L=μnI

1 *0.1= 4π*[tex]10^{-7}[/tex]*n*76

n= 1047

So the turns of solenoid needed is 1047.

Solenoid

A solenoid with infinite length but finite diameter is said to be infinite. In this abstraction, the solenoid is frequently seen as a cylindrical sheet of conductive material. The term "continuous" refers to the fact that the solenoid is not made up of discrete coils with finite widths but rather numerous infinitely thin coils joined together without any gaps. An indefinitely long solenoid has a homogenous magnetic field inside of it that is independent of the cross-sectional area or the distance from the axis. This is a long enough derivation of the magnetic flux density surrounding a solenoid that fringe effects may be disregarded.

In an MRI, the magnetic field B is generated by a solenoid of length 100 cm and diameter of 90 cm. The B field generated is one (1) T. The largest current the wire can carry is 76 A. 1047 turns of solenoid is needed.

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