An example of mechanical work is ________; an example of transport work is _______.

Answers

Answer 1

An example of mechanical work is the contraction of muscles; an example of transport work is the pumping of ions across the cellular membranes.

Generally, our cells can perform three major types of work which include chemical work, mechanical work as well as transport work.

A chemical work example is the building of proteins which are considered large molecules. The energy required for the dehydration synthesis reaction is provided by ATP which is able to link amino acids together.

One of the major examples of mechanical work is the activity of contraction of muscles. In the muscle cells, phosphate groups are transferred to certain proteins by ATP. These proteins are able to change the shape, which can start a series of events that makes the contraction of muscle cells.

On the other hand, a  transport work example includes the activity of pumping solutes including ions to pass across a cellular membrane. Here again, there will be a transfer of a particular phosphate group from ATP that makes the respective receiving membrane protein so as to change shape as well as enable ions to pass through effectively.

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Related Questions

the person is standing on ice with little to no friction. What will be the motion of the person applying the force to the object
? A begin to move to the right because that is the direction of the push
B no change in motion because the person is pushing the object
C begin to move to the left because the object pushes on the person
D begin to move to the right with the object​

Answers

No change in motion because the person is pushing the object

It resists motion, thus if something is sliding on the floor, friction is the force that finally brings it to a halt. If there was no friction, the item would continue to glide indefinitely unless moved on by another force.

Some surfaces are naturally less frictional. Ice may be thought of as a slippery surface. It does not qualify as a frictionless surface. No, zero friction surfaces are not possible. Even if we use a lot of lubricants, friction will be minimized, but it will never be zero since every surface has slight flaws.

The majority of experts agree that ice exhibits minimal friction because of a thin layer of liquid water on its surface. Skaters using thin metal blades can therefore glide effortlessly over the ice rink but grind to a standstill on the hardwood floor beyond.

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what would have a longer vector arrow

Answers

Answer:

d

Explanation:

Which would have a longer vector arrow?

a: A vector representing 100 miles/hour north

b: Avector representing 100 miles/hour east

c: A vector representing 100 miles/hour south

d: They would all be the same length​

was this the full question

The+speed+of+light+in+a+certain+type+of+glass+is+50%+slower+than+the+speed+of+light+in+air.+what+is+the+index+of+refraction+for+that+type+of+plastic?

Answers

refractive index = [tex]\frac{speed of light}{ phase \ velocity \ of \ light}[/tex]

                    n= [tex]\frac{C}{V}[/tex]

                    V= 70% of C

                    V = [tex]\frac{70}{100}[/tex] [tex]\times[/tex]C

                    V = 0.7C

                     n = [tex]\frac{C}{0.7C}[/tex]

                     n = [tex]\frac{10}{7}[/tex]

                    n = 1.428

                    n = 1.43

what is a refractive index?

Refractive index is additionally referred to as the refraction index or index of refraction. The speed of light in a medium depends on the properties of the medium. In electromagnetic waves, the speed is dependent on the optical density of the medium. Optical density is the tendency of the iotas in material to restore the ingested electromagnetic energy. The more optically dense material is, the slower the speed of light. One such indicator of the optical density of a medium is the refractive index.

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A finite current flows through a wire but provides no net charge over time. what type of current is it?

Answers

Alternating current is demonstrated by the limited current that travels through a wire but produces no net charge over time.

What is alternating current?

In contrast to direct current, which only flows in one direction, alternating current is an electric current that sometimes changes direction and continually fluctuates in amplitude over time.

Unlike direct current (DC), which only travels in one direction and cannot periodically shift, alternating current (AC) is an electric current that occasionally changes direction.

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someone help me please.​

Answers

Answer:

b. 19026000gk

a. 5.281

c. 219.2

Explanation:

When I was young and single, there was a woman at my church who found me attractive. She invited me over to her parents’ house for Thanksgiving, and I met her father. Her father looked like me, dressed like me, had the same beard style that I did, and even had the same first name as me. Clearly her positive emotional response to me had something to do with the strong resemblance between me and her father. This situation shows the power of _______ in shaping emotional reactions.

Answers

This situation shows the power of positive emotion in shaping emotional reactions.

What is the power of positive emotions?

We as people often  enjoy feeling positive emotions when they are said to be enjoyable to experience. Note that Positive emotions is one that help us see new kinds of possibilities, and thus it is one that makes it easier for us to learn new things and boast as well our talents.

As a result, a person can be able to perform better in regards to assignments as well as assessments. People who do regularly experience any form of good emotions are people who have a ability  to be happier, healthier, well intelligent, as well as socially adept.

Therefore, based on the above, This situation shows the power of positive emotion in shaping emotional reactions.

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What is the purpose of the Archimedes screw in at least 3 sentences.

Answers

The purpose of Archimedes screw is to lift water to a higher point than the source of water.

Archimedes screw is used to lift water from one location to another.Archimedes screw can be used in sewage treatment plantsArchimedes screw can be used to generate electricity.

In an Archimedes screw a helical screw is enclosed in a tube. So water entering the tube is trapped in the first pocket. As the screw turns, the water trapped in the first pocket moves up to the next pocket and a new  scoop of water enters the first pocket. As the screw keeps turning the water gets risen to a higher level than the initial level.

Therefore, the purpose of Archimedes screw is to lift water to a higher point than the source of water.

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What is it?

The Archimedes Screw allows people to draw water uphill, and this was made over 2,000 years ago! This simple invention had huge implications and it has been used on everything from irrigation to bilge pumps on ships.

How is it used today?

Humans still use this device today for many different reasons. As well as being able to move water uphill, it's also used in the hydroelectric industry where the design is reversed. In other words, water flows downward through the screw, tuning it, and generating electricity.

In addition, the screw pump is used today in modern medicine to maintain steady blood flow within patients who have acute heart failure.

What is the acceleration of the car between 2 and 5 seconds? hint: acceleration is a change in speed and direction! 15 m/s2 15 m/s 2 0 m/s2 0 m/s 2 5 m/s2 5 m/s 2 30 m/s2

Answers

The acceleration of the car between 2 and 5 seconds is 0m/[tex]s^{2}[/tex].

How can the velocity time graph be used to determine the acceleration?

Calculating acceleration involves dividing the change in velocity, expressed in meters per second, by the time required for the change, expressed in seconds. The acceleration is measured in m/[tex]s^{2}[/tex].

As we are aware, velocity = distance / time.

And acceleration = velocity / time.

The linear graph shows that the distance travelled at the time interval of 2 seconds is 10 m. Hence the velocity([tex]v_{1}[/tex]) =10/2 = 5m/s.

The graph shows that the distance travelled is 25 m at time interval of 5 seconds. Hence the velocity ([tex]v_{2}[/tex]) =25/5 = 5m/s.

Acceleration between 2 and 5 seconds is now calculated as

([tex]v_{1}[/tex]-[tex]v_{2}[/tex]) / ([tex]t_{2}[/tex]-[tex]t_{1}[/tex]) = (5-5)/(5-2) = 0 m/[tex]s^{2}[/tex]

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Compared to the amount of energy required to accelerate a car from rest to 27 m/s, how much energy is required to accelerate the car from 27 m/s to twice that speed, 54 m/s?

Answers

The ratio of the kinetic energy is 1 : 3 .

We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed.

From the question above, we know that

v1 = 27 m/s

v2 = 54 m/s

Find initial kinetic energy (0 to 27m/s)

KE1 = 1/2 . m . v1²

KE1 = 1/2 . m . 27²

KE1 = 364.5 m joules

Find final kinetic energy

KE2 = 1/2 . m . v2²

KE2 = 1/2 . m . 54²

KE2 = 1458 m joules

Hence, the energy required to accelerate (27 to 54 m/s) is

ΔKE = KE2 - KE1

ΔKE = 1458m - 364.5m

ΔKE = 1093.5m joules

By comparing these two kinetic energy, hence

KE1 / ΔKE = 364.5m / 1093.5m

KE1 / ΔKE = 1 / 3

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A tortoise and hare decide to run the 1000m dash. The tortoise manages to finish the whole race with
an average speed of 0.20 m/s. The hare, on the other hand, went much faster for the first 800m of the race, with
an average speed of 2.0 m/s. He was so far in the lead, that he decides to take a nap, and actually falls asleep for
1 hour 15 minutes. When he wakes up, he sees that the tortoise has pulled ahead of him! So the hare hurries to
the end of the race with an average speed of 1.5 m/s. Who wins the race and by how much time?

Answers

Answer:

The tortoise won the race by approximately [tex]33\; {\rm s}[/tex].

Explanation:

Note that speed in the question is measured in meters-per-second. Apply unit conversion and ensure that times in this question are also measured in seconds:

[tex]\begin{aligned} &1\; {\text{hour}} + 15\; {\text{minute}} \\ =\; & 1\; {\text{hour}} \times \frac{3600\; {\rm s}}{1\; {\text{hour}}} + 15\; {\text{minute}} \times \frac{60\; {\rm s}}{1\; \text{minute}} \\ =\; & 4500\; {\rm s}\end{aligned}[/tex].

Time required for the tortoise to finish the race:

[tex]\begin{aligned} \text{time} &= \frac{\text{distance}}{\text{speed}} \\ &= \frac{1000\; {\rm m}}{0.20\; {\rm m\cdot s^{-1}}} \\ &= 5000\; {\rm s}\end{aligned}[/tex].

The time required for the hare to finish the race includes:

time required to cover [tex]800\; {\rm m}[/tex] at a speed of [tex]2.0\; {\rm m\cdot s^{-1}}[/tex],[tex]1\; \text{hour}[/tex] and [tex]15\; \text{minute}[/tex] ([tex]4500\; {\rm s}[/tex]) of nap, andtime required to cover [tex](1000 - 800)\; {\rm m} = 200\; {\rm m}[/tex] at [tex]1.5\; {\rm m\cdot s^{-1}}[/tex].

[tex]\begin{aligned} \frac{800\; {\rm m}}{2.0\; {\rm m\cdot s^{-1}}} + 4500\; {\rm s} + \frac{200\; {\rm m}}{1.5\; {\rm m\cdot s^{-1}}} \approx 5033\; {\rm s} \end{aligned}[/tex].

Therefore, the tortoise wins the race by approximately [tex]5033\; {\rm s} - 5000\; {\rm s} = 33\; {\rm s}[/tex].

One of the frequencies used to transmit and receive cellular telephone signals in the united states is 850 mhz. What is the wavelength in meters of these radio waves?.

Answers

One of the frequencies used to transmit and receive cellular telephone signals in the United States is 850 MHz. 0.353m or 35.3cm is the wavelength in meters of these radio waves.

A waveform signal that’s carried in space or down a wire has a wavelength, which is that, the separation between two identical places (adjacent crests) in the consecutive cycles. This length is usually defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm). The meter, commonly abbreviated as m, is that the SI unit for wavelength. The multiples or fractions of a meter are also used to measure wavelength.

The wavelength of sunshine is a crucial characteristic since it establishes the nature of the light. Green light features a wavelength that is different from both of them, while red light features a wavelength that is different from blue light. The longest wavelengths are found in gamma rays. The light with the longest wavelength is red, which is at one extreme of the spectrum. The wavelength of blue or violet light is that the shortest. All of the colors in the color spectrum are combined to create white light.

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Is the independent variable in the gamble and walker article measured or manipulated?

Answers

In Hypothesis 1, the voltage was intentionally manipulated as the independent variable.

In Hypothesis 2, the resistance was intentionally manipulated as the independent variable and the dependent variable measured in both cases was the current.

Has an independent variable been changed?

In an experiment, the independent variable is a manipulated variable. Due to the fact that you may alter it, it is termed the “manipulated” one. In other words, you can choose in advance whether to raise it or lower it. Only one variable should be being changed at a time throughout an experiment.

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physics is hardddd. please help me

Answers

a. x and y component of the vectors are  1,178.2 m/s and -549.4 m/s respectively.

b. x and y component of the vectors are  -1.368 m and -3.76 m respectively.

c. x and y component of the vectors are 2.7 N and 12.72 N respectively.

d. x and y component of the vectors are 17.32 m/s²and -10 m/s²respectively.

What is horizontal and vertical component of vector?

The horizontal component of a vector is the   -component of the vector. The vertical component, of a vector is the   -component of the vector.

a. x and y component of the vectors

Vx = 1300 x cos (-25)

Vx = 1,178.2 m/s

Vy = 1300 x sin(-25)

Vy = -549.4 m/s

d. x and y component of the vectors

dx = 4 m cos(250)

dx = -1.368 m

dy = 4 m sin(250)

dy = -3.76 m

c. x and y component of the vectors

fx = 13 N cos(78)

fx = 2.7 N

fy = 13 N sin(78)

fy = 12.72 N

d. x and y component of the vectors

ax = 20 m/s² x cos(330)

ax = 17.32 m/s²

ay = 20 m/s² x sin(330)

ay = -10 m/s²

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Uhhhh I am confused please help

Answers

The rain showers have continued over a particular area for several days means that a warm front is formed over there due to which slow rainfall will occur over a large area for long period of time. Hence, option A is correct.

What is a Warm Front?

In meteorology, a warm front is the leading edge of a warm air mass that advances as a "front," slides over a colder air mass, and replaces the latter by expelling the latter as it passes.

The border between the two air masses is less obvious than it is at the cold front because it is farther away.

When tropical air collides with polar air that is cooler, a warm front is created. Due to the warmer air's reduced density and impending warm front, the atmospheric pressure drops as the temperature rises. As a result of the warm front's longer slope than the cold front's, different kinds of clouds and amounts of precipitation result. Usually, layer clouds like stratus or cirrus can be seen above the warm front.

When a cold front catches up to a warm front and the energy of both fronts combines, it can occasionally cause an occlusion since the warm front moves more slowly than the cold front. A strong depression (low pressure) arises shortly before the warm air is forced upward.

Hence, a warm front must occur where rain showers continued over a particular area for a long period of time.

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A+bungee+cord+has+a+length+of+10m+it+stretches+by+at+most+20%+you+jump+from+a+bridge+15m+high.+find+your+average+acceleration+after+the+rope+starts+stretching+and+slowing+you+down.

Answers

The average acceleration after the rope starts stretching and slowing down is 9.63m/s^2 when a bungee cord has a length of 10m it stretches by at most 20% you jump from a bridge 15m high.

The acceleration of a bungee jumper is given by

a=-g(1-(μ(4L+μ(2L+y))/(2(μ(L+y)+2L)^2 )))

g is the acceleration due to gravity (9.81m/s2)

µ is the mass ratio (which is 1), assuming the mass of the jumper and the bungee cord are the same

L is the length of the bungee cord (10m)

Y is the height at which the jumper jumps (15m)

a=-g(1-(((4L+(2L+y)))/(2((L+y)+2L)^2 )))

Substituting the values

a=-9.81(1-(((4(10)+(2(10)+15)))/(2((10+15)+2(10))^2 )))

a=-9.81(1-(((40+(20+15)))/(2((25)+20)^2 )))

a=-9.81(1-(((40+35))/(2(45)^2 )))

a=-9.81(1-(75/(2×2025)))

a=-9.81(1-(75/4050))

a=-9.81(1-0.0185)

a=-9.81(0.9815)

a=-9.6285

a=-9.63m/s

The acceleration is negative because the rope is slowing down, i.e. coming to rest.

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Cheggexplain how liquidity black holes occur. how can regulation lead to liquidity black holes?

Answers

When financial market liquidity abruptly disappears, it is this that causes the majority of financial crises.

What is liquidity black holes?

When market liquidity runs out as a result of herd behaviour, when everyone starts trading on one side and starting to sell, liquidity black holes happen. In typical markets, buyers and sellers can both be found there at the same time. Markets are oversold, everyone wants to sell, and there is a dry up of liquidity when there are liquidity black holes. Trading financial instruments costs money. Trading financial assets is simple and inexpensive when there is market liquidity. Liquidity gaps result in the collapse of asset values, the failure of financial assets, and the complete loss of public confidence in the financial system.

Banks may be required to raise capital if authorities enforce new regulatory standards in response to a rise in volatility. This will drive all of the banks to sell, so reducing their exposure, and all of the banks will engage in similar trading. Some people will need to adopt a contrarian approach and respond in a different way than the majority of people are doing in order to prevent a liquidity crisis.

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Why are food webs better representations of how energy moves through an ecosystem than food chains?

Answers

Food webs are better representations of how energy moves through an ecosystem than food chains because these diagrams can exhibit how a particular trophic group obtains energy from different sources.

What are Food webs?

Food webs are interconnected complex diagrams showing the sources of energy that a given group use to maintain their homeostatic internal balance by eating these different sources, while food chains represent linear relationships.

In conclusion, food webs are better representations of how energy moves through an ecosystem than food chains because these diagrams can exhibit how a particular trophic group obtains energy from different sources.

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A fluid that occupies a volume of 24 l weighs 205 n at a location where the gravitational acceleration is 9.80 m/s2. determine the mass of this fluid and its density.

Answers

The fluid with a volume of 24 l that weighs 205 N has a mass of: 20.918 kg and a density of: 0.8715 kg/l

To solve this exercise, the formulas and procedures to be applied are:

W = m * gd = m/v

Where:

m = massW = weighta = accelerationv= volumed= density

Information about the problem:

v= 24 lW = 205 Na= 9.80 m/s21 N = kg * m/s²m = ?d=?

Applying the weight formula and clearing the mass we get:

W = m * g

m = W/g

m = 205 N/9.80 m/s²

m = 20.918 kg

Applying the density formula, we get:

d = m/v

d = 20.918 kg/ 24 l

d = 0.8715 kg/l

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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You are traveling on an airplane. The velocity of the plane with respect to the air is 120 m/s due east. The velocity of the air with respect to the ground is 43 m/s at an angle of 30° west of due north.
1) What is the speed of the plane with respect to the ground?
2) What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).
3) How far east will the plane travel in 1 hour?

Answers

For the distance you'll have to make a right triangle and solve for the missing side (x). Since the plane isn't traveling directly in the east direction it wont be exactly the m/s multiplied by one hour.

3. 1 hr = 3600s.

d = Vt = 163.7m/s * 3600s = 589,320m.

The binary system is used by computers for

transporting
energy
communication

I believe communication is the right answer.

Answers

Answer:

yes it's communication

A 15.2 kg mass has a gravitational potential energy of -342 j. how high from the ground is it?

Answers

According to potential energy, the height of the object is 2.296 meters.

We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as

PE = m . g . h

where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.

From the question above, we know that

PE = 342 joules

m = 15.2 kg

By substituting the given parameters, we can calculate the height

PE = m . g . h

342 = 15.2 . 9.8 . h

148.96 h = 342

h = 2.296 meters

Hence, the height of the object from the ground is 2.296 meters.

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Name three input components

Answers

Answer:Examples of input devices include keyboards, mouse, scanners, cameras, joysticks, and microphones.

pls mark brainliest

Explanation:

A certain car is capable of accelerating at a rate of 0.60m/s. how long does it take for this car to go form a speed of 55 mi/h to 60mi/h?

Answers

By using uniform motion, the time taken to accelerate is 3.72 seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

a = 0.6 m/s²

vo = 55 mi/h

vt = 60 mi/h

Convert the velocity to m/s

vo = 55 mi/h

vo = 55 x 1609.34/3600 m/s

vo = 24.59 m/s

vt = 60 mi/h

vt = 60 x 1609.34/3600 m/s

vt = 26.82 m/s

Find the time taken

vt = vo + a . t

26.82 = 24.59 + 0.6t

0.6t = 2.23

t = 3.72 seconds

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Write a detailed note on the types of motion

Answers

Motion means movement, the laws of Physics state  there are mainly 4 types of motion, i.e.

Rotary Motion:  It is the type of motion which deals with rotation of body, it is a special type of motion in which the object is on rotation around a fixed axis like, a figure skater rotating on an ice rink.

Oscillatory Motion:It is a repeating motion in which an object continuously repeats in the same motion again and again like a swing.

Linear Motion: It is  a one-dimensional motion on a straight line, like an athlete running on a straight track.

Reciprocating Motions: A repetitive and continuous up and down or back and forth motion like a needle in a sewing machine

There are also different other types of motion as per directions or as per state of motion.

Types of motion as per state

Uniform Motion

Non-Uniform Motion

Types of motion as per direction

One Dimensional Motion

Two Dimensional Motion

Three Dimensional Motion

The fastest speed traveled on land have been achieved by rocket powered cars. Suppose that a car starts from rest and reaches a speed of 1090 km/hr in a distance of 20.0kn. How long does it take to make the drive?

Answers

The time taken by the car is 0.018 hours.

What is speed?

Speed is the ratio of the distance covered by a body to the time taken. We know that it can also be defined as the rate at which a body moves from one point to another.

We have the following information from the question;

Speed of the car = 1090 km/hr

Distance covered by the car =  20.0km

Speed = distance/time

time = distance/speed

time = 20.0km/1090 km/hr

time = 0.018 hours

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What mass of aluminum can be plated onto an object in 755 minutes at 5.80 a of current? (molar mass of al = 26.98 g/mol)

Answers

24.49g of aluminium can be plated onto the object in 755 minutes at 5.80 A of current.

Electric current is the quantity of electric charge moving across a given area at a certain rate. I designates it. Ampere is the SI unit for current. It is measured with an instrument called an ammeter. The presence of charge carriers results in the charge. Charge carriers often include electrons or entities deficient in electrons. A key characteristic of subatomic particles is charge. Coulomb is the common unit of charge.

We require correlations between charge and moles of substance in order to calculate the mass of plated aluminum. As a result, we compute:

Charge = It

5.80 × 755 × 60 = 262740 C.

Al may be plated at ,

[tex]262740C (\frac{1mole^{-} }{96500C} )[/tex] × [tex](\frac{1 molAl}{3 mole e^{-} } )[/tex] × [tex](\frac{26.98g}{1mol} )[/tex] [tex]=24.49g[/tex]

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Suppose a student develops a scale model of the planets. which two planets should be the closest in diameter on the model?

Answers

When the student develops a scale model of the planets, Earth and Venus should be the closest in diameter on the model. The diameter of Earth is 7,917.5 miles, and the diameter of Venus is 7,520.8 miles. These two are closest in diameter, and should be represented as so on the scale model.

Answer:

earth and venus

Explanation:

A galvanic cell runs for 1 minute with a current of 0.25 a. how much charge passed through the cell in that time? (f = 96,500 c/mol)

Answers

If the galvanic cell runs for 1 minute with a current of 0.25 ampere. Then 15 coulombs of charge would have been passed through the cell in that time.

What is an electric charge?

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge.

I =Q/T

As given in the problem If the galvanic cell runs for 1 minute with a current of 0.25 ampere,

Charge = current ×time

             =0.25 ampere×60 seconds

             =15 couloms

Thus, 15 coulombs of charge would have been passed through the cell in that time.

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A sound wave travels to a high wall which is 225m away from the source and is then reflected back to is initial position If the speed of sound in air as 340ms", calculate the time it takes to hear the echo.​

Answers

Answer:

1.32 (3sf)

Explanation:

total distance the sound wave travel= 225 x 2= 450m
450 ÷ 340= 1.32s

Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side. (a) what is the chance that one, and only one, of the dice will land ace?

Answers

Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side.

The chance that one, and only one, of the dice will land ace is 1/6.

Fair dice are those that have an equal chance of falling face-up on the table. When each face of a conventional 6-sided die has the same probability of 1/6, it can be said that the die is "fair."

.Probability is the possibility of rolling one die and getting a finite number (1, 2, 3, 4, 5, and 6). The fundamental principle of probability is to calculate it by dividing the number of outcomes that are possible by the result that you are anticipating. Therefore, a die has six faces or sides, and there are six equivalent likelihoods for each roll. Regardless of which number you select, there is only one result you are hoping for.

P (only one Ace) =[tex](1/10)(11/12)+(9/10)(1/12)[/tex]

[tex]=20/120[/tex]

[tex]=1/6[/tex]

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