The power in an electrical circuit is given by the equation P= PR, where /is
the current flowing through the circuit and Ris the resistance of the circuit.
What is the power in a circuit that has a current of 0.02 amps and a
resistance of 30 ohms?
A. 0.012 watts
B. 1500 watts
C. 18 watts
D. 0.6 watts

Answers

Answer 1

Answer:

A. 0.012 Watts

Explanation:

P = IV = I² R

Given I = 0.02 A and R = 30 Ω:

P = (0.02)² (30)

P = 0.012 W

Answer 2

The power in an electrical circuit is given by the equation P= PR, the power in the circuit is 0.6 watts. The correct option is D.

In physics and electrical circuits, power refers to the rate at which work is done or energy is conveyed. It quantifies the rate at which energy is used or generated in a system.

The power in an electrical circuit may be calculated using the equation P = I * R, where P is the power, I is the current flowing through the circuit, and R is the circuit's resistance.

The current (I) is 0.02 amps in this example, while the resistance (R) is 30 ohms.

P = I * V

P = 0.02 A * 30 Ω

P = 0.6 watts

Therefore, the power in the circuit is 0.6 watts.

Thus, the correct answer is D. 0.6 watts.

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Related Questions

an object in uniform circular motion must be changing its speed in order move in a circular path

Answers

Answer:

False

Explanation:

An object in uniform circular motion must be changing its velocity in order to move in a circular path.

In fact, remind that velocity is a vector which consists of a magnitude (the speed) and a direction.

When an object is moving in uniform circular motion, the direction of the motion is constantly changing (since the trajectory is a circle): so, this means that the velocity is also changing. However, this does not imply that the speed of the object is changing. In fact, in a uniform circular motion, the speed of the object remains constant.

During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?

Answers

Explanation:

Power = work / time

Work = force × distance

Therefore:

Power = force × distance / time

Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.

Answer:

The correct answer is B) The player would need to use a greater force and take less time.

Explanation:

hope this helps :)

can i get brainliest plz

The period and frquency of a wave are inversely related true or false​

Answers

Answer:

True

Explanation:

As frequency increases, the length of the wave (period) decreases.

As frequency decresaes, the length of the wave (period) increases.

Please mark for Brainliest!! :D Thanks!

For any questions, please comment below and I'll respond ASAP!!

The statement is true; period and frequency have an inverse relationship because the period is the time for one complete wave cycle and frequency is the number of cycles that occur per second.

The statement that the period and frequency of a wave are inversely related is true. The period (T) of a wave is defined as the time for one complete wave cycle, whereas the frequency (f) is the number of waves that pass a point in one second. Because these two quantities measure opposite concepts - time per cycle versus cycles per time - their relationship is inherently inverse, which can be represented mathematically as f = 1/T. Considering electromagnetic waves, we acknowledge that as the wavelength increases, the frequency decreases, demonstrating again the inverse relationship. Similarly, a higher frequency means waves have less time between cycles, leading to a shorter period. This principle is a fundamental concept in wave physics and applies to all types of waves, including sound, light, and mechanical waves.

what are the full forms of RADAR and SONAR​

Answers

Answer:

RADAR and SONAR. Although they rely on two fundamentally different types of wave transmission, Radio Detection and Ranging (RADAR) and Sound Navigation and Ranging (SONAR) both are remote sensing systems with important military, scientific and commercial applications

Explanation:

Radio detection and ranging and Sound navigation and ranging

What is the name of the system for conducting a scientific investigation?


Please need help

Answers

Answer:

The scientific method

Explanation:

Answer:

the answer would be Scientific method !

Explanation:

:)

The strength of gravitational force is affected by the mass of objects and which of the following?

Answers

Answer:

The distance between two objects

Explanation:

Depending on how far away or how close two objects are will affect the gravity.

Gravitational force strength depends only on two factors, mass of objects and distance between the objects.

Explanation:

The distance between two objects experiencing the gravitational force are in inverse relationship in proportionality.

That is, when distance between two increases, “strength of gravitational force decreases”, and vice versa. If the one of the mass is doubled, force of gravity also doubles and if it increases, force of gravity also increases.

How is centripetal force affected if an object increases its mass?

Answers

Explanation:

Centripetal force is:

F = m v² / r

where m is mass, v is velocity, and r is radius.

Force is proportional to mass, so if mass increases, then force also increases.

If mass increases centripetal force will also increase

What is centripetal force ?

A centripetal force is a net force that acts on an object to keep it moving along a circular path.

centripetal force = m[tex]v^{2}[/tex] /r

where m = mass of the object

v = velocity of the object

r = radius of the circular path

since . mass is directly proportional to centripetal force

hence , if mass increases centripetal force will also increase

learn more about  centripetal force  

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What is the importance of the International Space Station?

Answers

Answer:

The main purpose of International Space Station is to provide an international labotary for experiment within the space environment. Which, despite all our technological advances, is nearly impossible to replicate here on Earth.

ISS is also a laboratory to prepare us for the next level of the space exploration and the long duration exposure to space that comes with that.

Does the size of the particles change as the substance changes state?

Answers

Answer:

Particles stay the same unless there is a chemical change whether the matter is solid, liquid or gas.

Explanation:

When substances change state there is no change in mass so if 100 g of ice is melted 100g of water are formed this will boil to form 100g of steam (this is called "conservation of mass").

Answer:

No. The size of the particles in the substance remains the same when the state of matter changes.

Explanation:

A cylindrical piece of aluminum is 6.00cm y’all and 2.00cm in radius how much does it weigh

Answers

Answer:

2.00 N

Explanation:

Weight is mass times gravity:

W = mg

Mass is density times volume:

m = ρV

Volume of a cylinder is:

V = πr²h

Finding the volume:

V = π (2.00 cm)² (6.00 cm)

V = 75.4 cm³

The density of aluminum is 2.7 g/cm³.  Finding the mass:

m = (2.7 g/cm³) (75.4 cm³)

m = 204 g

Finding the weight:

W = (0.204 kg) (9.8 m/s²)

W = 2.00 N

The aluminum cylinder weighs 2.00 N.

by what are isotopes identified?

A.mass numbers
B.atomic masses
C.atomic mass units
D.average atomic masses

Answers

BBBBBBBB!!!!! ATOMIC MASSES :D

A body has density of 2kg/m² and volume 2m². Find the mass of the volume​

Answers

Answer:

4kg

Explanation:

density is mass/ volume, 4/2= 2

Answer:

The mass is 4kg

Explanation:

Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,

Density = mass/volume

Mass is measured in kilogram (kg)

Volume is measured in m³

From the formula;

Mass = Density × volume

Mass = 2kg/m³ × 2m³

Mass = 4kg

A wheelbarrow is a compound machine

True

False

Answers

true

A wheelbarrow is a compound machine made up of a lever and a wheel and axle. The handles of the wheelbarrow act as levers to lift materials.

True

Wheelbarrow is a compound machine.

Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.




3 kg: ____kJ

6 kg: ____kJ

9 kg: ____kJ

Answers

Answer: 14.7kJ, 29.4kJ, 44.1kJ

Explanation:

The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.  

In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:  

[tex]U_{p}=mgh[/tex]  

Where [tex]m[/tex] is the mass of the object, [tex]g=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.  

Knowing this, let's begin with the calculaations:

For m=3kg

[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=14700J=14.7kJ[/tex]  

For m=6kg

[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=29400J=29.4kJ[/tex]  

For m=9kg

[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=44100J=44.1kJ[/tex]  

A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. What is the direction of the acceleration that the engine must produce?

Answers

Answer:

79.1°

Explanation:

Given:

x₀ = 0 m

y₀ = 0 m

x = 19500 cos 32°

y = 19500 sin 32°

v₀x = 1810 cos 20°

v₀y = 1810 sin 20°

t = 9.20

Find:

ax, ay, θ

First, in the x direction:

x = x₀ + v₀ t + ½ at²

19500 cos 32° = 0 + (1810 cos 20°) (9.20) + ½ ax (9.20)²

16537 = 15648 + 42.32 ax

ax ≈ 21.01

And in the y direction:

y = y₀ + v₀ t + ½ at²

19500 sin 32° = 0 + (1810 sin 20°) (9.20) + ½ ay (9.20)²

10333 = 5695 + 42.32 ay

ay ≈ 109.6

The direction of the acceleration is therefore:

θ = atan(ay / ax)

θ = atan(109.6 / 21.01)

θ ≈ 79.1°

Answer:

79.1°

Explanation:

A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. The direction of the acceleration that the engine must produce is 79.1°

The first law of thermodynamics describes how the heat added to a system is conserved. Heat the internal energy of the system or is transformed into , or both. Heat is just transformed, not created or destroyed.

Answers

Answer:

The first law of thermodynamics describes how the heat added to a system is conserved. Heat

⇒ increases the internal energy of the system or is transformed into

⇒ work, or both. Heat is just transformed, not created or destroyed.

Explanation:

edge 2020

Final answer:

The first law of thermodynamics states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system. This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.

Explanation:

The first law of thermodynamics is a fundamental principle that applies to energy conservation in thermodynamic systems. It states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system.

In equation form, the first law of thermodynamics is represented as AU = Q - W, where AU is the change in internal energy, Q is the net heat transfer, and W is the net work done by the system.

This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.

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A circular track begins at O meters and has a total distance of 100 meters. Juliet starts at the 10-meter mark while practicing
for a race.
After running 45 meters, how far is she from the beginning of the track?
10 meters
35 meters
45 meters
55 meters

Answers

Answer:

55 meters

Explanation:

She started at the 10 meter mark, and ran 45 meters.  So her final position is:

10 m + 45 m = 55 m

She is 55 meters from the beginning of the track (the 0 meter mark).

Answer:

55 meters

Explanation:

If Juliet starts at the 10-meter mark while practicing  for a race, after running 45 meters, she is 55 meters from the beginning of the track.

10 m + 45 m = 55 m

Hybrid seeds are deliberately crossbred for particular traits, such as growth pattern or disease resistance. They have been hand-pollinated and are patented, often sterile, and genetically identical within food types. These plants are usually grown in a monocultural environment and are cultivated for mass production and sale. They must be sturdy to withstand mechanical picking and cross-country shipping. They do not compare to the quality and taste of heirloom plants, but they do produce large, healthy fruit that appeals to most shoppers. Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Which statement can be removed and not affect the excerpt’s reliability?

Answers

Answer:

Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Explanation:

The statement that can be removed without affecting the reliability of overall paragraph is, "unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again". This is because even if we remove this line, the paragraph still looks completely understandable, reliable and in a flow.

If we talk about hybrid plants, we know that they are produced through cross pollination of the crops with desired traits. Although they are sterile and cannot produce offspring, however the plants which are raised from these seeds are edible and quite healthy. This is why these plants have better yield and a better resistance against environmental constraints like diseases and stresses. After the production, hybrid seeds are stored and they are able to produce plants of similar types.

Hope it helps!

Answer:

C on edg

Explanation:

the pressure of 20cm of mercury is a.27200 n/m2 b.27500n/m2 c.28000n/m2 d.29000n/m2​

Answers

Answer:

im note too sure

Explanation:

please ask again later

identify the type of synthetic material used in each object. is it alloy, ceramic, polymer?

tuba -

paper -

Pot - ​

Answers

Answer: tuba- alloy

paper-polymer

pot- ceramic

Explanation:

Answer:

Tuba -  Alloy

Paper -  Polymer

Pot - ​Ceramics

Explanation:

Alloy : An alloy is a substance which made up of two more than two types of metal.It is uniform solid substance. For example : brass, steel etc

Ceramics: Articles , figures made up of clay which are hardened by the action of heating. For example : pots, crockery etc.

Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.The single chemical unit is known as monomer. For example : plastic , rubber etc.

Tuba is an musical instrument similar made up of brass. And brass is an alloy of copper and zinc. Hence, an alloy.

Paper is majorly made up of wood pulp.And Wood pulp consists cellulose which is a polymer of glucose molecule.Hence, polymer.

Pot is made up of clay and heated to hardened them.Hence, ceramics.

A man holding 7N weight moves 7m horizontal and 5m vertical , find the work done

Answers

The work done by the man is 35 joules. This work is only done in the horizontal direction because work is the product of force and displacement in the direction of the force.

Work done is calculated by the formula Work (W) = Force (F)  imes Distance (d)  imes cos( heta), where  heta is the angle between the force and the direction of the displacement. Since the force is in the horizontal direction and the displacement is also horizontal,  heta is 0 degrees and therefore, cos( heta) = 1. For the vertical movement, the force exerted by the man does not contribute to the work done on the weight since the displacement is perpendicular to the force applied. Hence, the work done while moving vertically is zero. The total work done is then the sum of the work done horizontally and vertically, which is 35 joules + 0 joules = 35 joules.

Iron oxide reacts with aluminum to give aluminum oxide and iron. What kind of chemical reaction is this? A. combustion B. decomposition C. replacement D. synthesis

Answers

The answer is replacement

Answer: Option (C) is the correct answer.

Explanation:

In a chemical reaction, where two different compounds or a mate and a compound are reacting with each other then more reactive metal is able to displace less reactive metal.

When only one element gets displaced then it is known as a replacement or single replacement reaction.

For example, [tex]Fe_{2}O_{3}(s) + 2Al(s) \rightarrow Al_{2}O_{3}(s) + 2Fe(l)[/tex]

Here, aluminium is more reactive in nature as compared to iron. Hence, iron is replaced by aluminium and this reaction is known as replacement reaction.

Thus, we can conclude that the given chemical reaction is replacement.

How did the transcontinental railroad impact travel?

A. It allowed passengers to travel from Chicago to New York.
B. It allowed passengers to travel from Canada to Florida.
C. It allowed passengers to travel from Maine to Florida.
D. It allowed passengers to travel from the Atlantic Ocean to the Pacific.

Answers

Answer:

D

Explanation:

The transcontinental railroad was worked on from both sides of America. At the Pacific Ocean and the Atlantic Ocean. The purpose was to make travel easier from one side of the country to the other, and to get American items to the east and west of America for export to other countries, as well as a few other reasons such as building up the interior of America.

The transcontinental railroad revolutionized travel by connecting the Atlantic and Pacific coasts, transforming trade and transportation in the United States.

The transcontinental railroad impacted travel by allowing passengers to travel from the Atlantic Ocean to the Pacific. This monumental achievement connected the West Coast with the eastern rail networks, transforming cross-country travel and trade. It spurred the growth of hub cities like Chicago, which became vital for managing the extensive railroad networks.



Which set of data would be best illustrated with a bar graph?

the effect of hours spent exercising on heart rate

the number of skyscrapers in 5 different cities

an illustration of how the humidity in the air responds to the temperature of the air

data showing how the number of hours spent studying affects the score on an exam

Answers

Answer:

the number of skyscrapers in 5 different cities ( second choice)

Answer:

the number of skyscrapers in 5 different cities

Explanation:

A bar graph is a perfect way to show the relation between two components where the components are not variable. Here if you look at second option, the two components are: No. of skyscraper and cities. It is evident that the skyscraper's no. is not a variable and will remain fixed.

While if you look at the other option, the components are variable and thus can not be represented on a bar graph.

A car travels 60 m/s for 10 seconds
Calculate how far it traveled.

Answers

Answer:

600 m

Explanation:

60 meters / second is 60 meters traveled in one single second.

in ten seconds, it would be 10 times the amount in one second.

so 60 meters / second times 10 seconds = 600 meters.

Answer: 600 meters

Explanation: 60 meters per second so 60 times 10

Describe how one plays Dr.Dogeball​

Answers

•To play Dr. Dodgeball you need to have 2 teams to verse each other.
•Next, select one person from each team to be the doctor (depending on the size of the teams you can have varying amounts of doctors)
•Continue to play dodgeball how you normally would
•When a player gets hit and is “out” they have to sit on the ground and wait for the doctor to “revive them” (this usually requires the doctor dragging,touching, or moving the player that is out to a “revival place” which is usually decided on by the advisor or person in charge.
•Finally, try to get all the doctors and players out from the other team. Get the doctors first, for they cannot revive themselves. Which means the other players are out after they get hit with a ball since the doctors are out. (Some games are played where if all doctors are out the game ends)
Hope this helped! Play on! And plz mark brainliest lol this was long to write :D

Final answer:

Dr. Dodgeball is a playful game in which one player, as the virus, hits others with a sensory ball or tags them with their elbow. Those hit must 'self-isolate' or get 'vaccinated' by designated doctors to stay in the game.

Explanation:

How to Play Dr. Dodgeball

Dr. Dodgeball is an imaginative game inspired by current events and offers an interactive understanding of various concepts such as self-isolation and cooperation. To play the game, one player assumes the role of the virus, tasked with hitting their peers with a sensory ball on a trampoline.

If a player is struck by the ball, they must 'self-isolate' on the edge of the trampoline. This 'isolation' involves counting to 10 and can happen up to three times. On the fourth hit, the player performs a dramatic cough and pretends to 'die'.

In another variation, the virus player tags people with their elbow. Once tagged, a player has 10 seconds to receive a 'vaccine' from one of the two players acting as doctors by being untagged with an elbow touch. If a doctor manages to tag the original virus player, the game ends, and either the roles rotate or the same doctor becomes the new virus for the next round.

The game is flexible and can be played in various settings including neighborhoods, parks, and even remotely using mobile devices.

Overall, Dr. Dodgeball can be described as a playful way to engage in physical activity while incorporating themes from the health world, such as virus transmission and preventive measures, into the gameplay.

In a video game, a ball moving at 0.6 meter/second collides with a wall. After the collision, the velocity of the ball changed to -0.4 meter/second. The collision takes 0.2 seconds to occur. What’s the acceleration of the ball during the collision? Use .

Answers

Answer:

-5 m/s²

Explanation:

Acceleration = change in velocity / change in time

a = (v − v₀) / (t − t₀)

a = (-0.4 m/s − 0.6 m/s) / 0.2 s

a = -5 m/s²

The ball decelerates at a rate of -5 m/s².

Answer: -5 m/s²

Explanation:

In the equation Ca(s) + 2H2O(l) -->Ca(OH)2(aq) + H2(g) list each element used as a reactant, and tell how many atoms of each are needed for this reaction.

Answers

The reactants are Calcium, Hydrogen and Oxygen.

We need 1 atom of Calcium, 4 atoms of Hydrogen and 2 atoms of Oxygen.

Hope this helps.

r3t40

some fuel cells are powered by hydrogen scientists are looking into the decomposition of water to make hydrogen fuel with the help of the sun's energy what challenge do scientists face with this task


A) Decomposing water requires high activation energy
B) The sun isn't a renewable resource
C) Decomposing water results in toxic byproducts
D) Scientists are uncertain what to do with the excess oxygen

Answers

Answer:

A) Decomposing water requires high activation energy

Explanation:

The sun is a renewable resource, because the solar energy we use is less than the solar energy being created.  Decomposing water produces hydrogen gas and oxygen gas, which aren't toxic.  The oxygen is used in the combustion of the hydrogen gas.  However, splitting water molecules into hydrogen and oxygen takes a lot of energy.

Answer:

A Decomposing water requires high activation energy

Explanation:

A measure of the force that moves charges through a conducting material

Answers

Answer:

Voltage

Explanation:

Answer:

the answer of this is voltage

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is mercury a solution During the Revolutionary War, what was the definition of a Patriot?A. A person who wanted the colonies to remain part of the BritishEmpireB. A person who wanted to free the American colonies from BritishruleC. A person who did not take sides and just wanted the war to endD. A person who moved away from the colonies until the war wasover Scott Incorporated has been in business for several months. Because of increased competition in the region for part adapters, the managers at Scott Incorporated is considering cutting sales price from $ 27 per adapter to $ 24 per adapter. New sales price per poster $ 24 Variable price per adapter $ 17 New contribution margin per adapter $ 7 If the variable expenses remain at $ 17 per adapter and the fixed expenses remain at $ 6,000, how many adapters will the managers need to sell to break even? Compute the breakeven sales in units. Dylan borrowed $2100 from the bank for 15 months. The bank discounted the loan at 2.6%. How much was the interest? $ State your result to the nearest penny. How much did Dylan receive from the bank? $ State your result to the nearest penny. What was the actual rate of interest? % State your result to the nearest hundredth of a percent. A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 7 L/min. Let y o u be the number of kg of salt in the tank after t minutes. The differential equation for this situation would be: What is the role of local self-sufficiency in building sustainable societies? View Available Hint(s) What is the role of local self-sufficiency in building sustainable societies? a.It can be overlooked in the short term because there is nothing to be gained from consuming locally produced goods. b.It is not a critical factor. c.It can be valuable because people are tied more closely to the area where they live. d.It is often opposed by individuals but favored by governments and multinational organizations like the World Trade Organization. What properties does a square have in common with a quadrilateral?Check all that are true.Both shapes always have opposite sides that are parallel.Both shapes are closed plane figures.Both figures always have four sides.Both figures always have right angles.All sides are the same length in both figures. This question is a Fractions as divisions and it's kinda bit harder to figure it out. Need help!! Write a loop that reads positive integers from standard input and that terminates when it reads an integer that is not positive. After the loop terminates, it prints out, on a line by itself and separated by spaces, the sum of all the even integers read, the sum of all the odd integers read, a count of the number of even integers read, and a count of the number of odd integers read, all separated by at least one space. Declare any variables that are needed. Please help me! I think the answer to this is C because gas produced from liquid has the greatest release in entropy, right? And C is the only option producing gas. Please help me out! Is C the right answer or which one is?The systems that shows the greatest increase in entropy is -a.2H2 + O22H2Ob.NaCl Na+1 + Cl-1c.2H2O 2H2 + O2d.AgCl3Ag+3 + 3Cl-1 which of these practices does the most to decrease the amount of water needed to farm?A-drip irrigationB-crop rotationC-cash cropsD-no-trill farming? There are 5 students in a small class. To make a team, the names of 2 of them will be drawn from a hat. How many different teams of 2 students are possible? suppose you want to know how harmful pesticides maybe to pets. which one of the following articles would be least helpful If you are performing the weightlifting exercise known as the strict curl, the tension in your biceps tendon is __________. what is 12/6 multiple 2/3 The decision to drop the atomic bomb was intended to accomplish which goal(s)?a.The decision to drop the atomic bomb was to end Japanese atrocities quicklyb.The decision to drop the atomic bomb was to test the bomb.c.The decision to drop the atomic bomb was to end WWII quickly.d.It was intended to accomplish both a and c.e.It was intended to accomplish a, b, and c. How do I solve multiplication property of inequality What's peculiar about some of Stevenson's most admired works? a. It took him only six months to write five books. b. He was illiterate, so he had a ghost writer. c. He wrote them while traveling throughout Africa and Europe. d. They were written while he was bedridden. How did tradecontribute to the development of theMinoan and Mycenaean cultures The prices of backpacks at a store are $22,$16, $39, $35, $19, $34, $20, and $26. Findthe mean absolute deviation of the prices.