An ammonia (nh3) solution composed of 4.00 g nh3 for every 96.00 g water flows into a 305.0 gallon tank. the density of this solution is Ď = 0.9811 g/ml. what is the molarity of this solution?

Answers

Answer 1
For conversion, there are 3,785.41 mL for every 1 gallon. 

Volume = 305 gal (3,785.41mL/gal) = 1,154,550.05 mL 

The equivalent mass of the solution would be:
1,154,550.05 mL *0.9811 g/mL = 1,132,729.054 g
Ratio = 1,132,729.054 g/ (96 +4) = 11327.29

Thus, the total amount of solute in the mixture is:
Amount of solute = 4*11327.29 = 45,309.16 g
The molar mass of ammonia is 17 g/mol.
Amount of mol of solute = 45,309.16 g/ 17 g/mol = 2,665.24 mol

Since molarity is mol solute per liter,
Molarity = 2,665.24 mol/[1,154,550.05 mL(1 L/1000 mL)]
Molarity = 2.308 M

Related Questions

What is the wave characteristic of stage 1 sleep

Answers

We all think that sleep has a uniform state of being. This is a wrong connotation but instead, the truth is sleep is composed of several different stages. This can be differentiated from one another by the patterns of brain wave activity that occur during each stage. In the 1st stage of the non-rapid eye movement or NREM, this is when the transitional phase occurs between wakefulness and sleep. This is the period when we drift off to sleep. The heartbeat as well as the respiration rates in the body slow down during this period. Furthermore, in stage 1 there is marked decrease in both overall muscle tension and core body temperature. Stage 1 wave activity s directly associated with the alpha and theta waves. It isa said that it is really easy to wake a person who is still at stage 1 and are not even convinced that he or she has been asleep during this stage.

Stage 1 sleep is characterized by the transition from alpha waves to theta waves, indicating a light sleep state from which individuals can be easily awakened.

The wave characteristic of stage 1 sleep is predominantly marked by the presence of theta waves. Initially, as a person transitions from wakefulness to sleep, alpha waves are prevalent, characterized by their lower frequency (8-13 Hz) and higher amplitude. As stage 1 sleep progresses, theta waves, which have an even lower frequency (4-7 Hz) and higher amplitude, become more dominant.

These brain waves indicate that the individual is in a light sleep state, as it is quite easy to wake someone during this stage.

Interference is evidence of the particle nature of light.

True
False

Answers

it's true answer that interference is the evidence of the particle nature of light..

This would be False!!!

What is the upward force of the floor on the toes of one foot?

Answers

It would be the same amount as the amount fo the toes on the floor.

The upward force exerted by the floor exists equivalent to the downward force that the toes apply to the floor.

What is ment by an upward force?

The overall force acting on an item vertically is measured by an upward force. Usually, this is calculated by deducting the total upward force from the total force caused by gravity.

The upward force applied to an object that is fully or partially submerged in a fluid is known as the buoyant force. A body submerged partially or completely in a fluid appears to shed weight or to be lighter, due to the buoyant force.

Every action contains a corresponding and opposite response, according to Newton's Third Law of Motion. The forces of action and response do not affect the same body. This law can be utilized to define if the floor exerts any force on a person's feet.

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it is known that a shark can travel at a speed of 15 m/s.how far can a shark go in 10 seconds?

Answers

If a shark can travel 15 miles per second, then it can go 150 miles in 10 seconds.

it is known that a shark can travel at a speed of 15 meters/second then the shark can go 150 meters in 10 seconds.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter/second.

average speed = total distance /Total time

As given in the problem it is known that a shark can travel at a speed of 15 meters/second,

speed of the shark = 15 meters/second

time taken by the shark = 10 seconds

The total distance covered by the shark in 10 seconds = speed ×time

The total distance covered by the shark in 10 seconds  = 15×10

                                                                                            = 150 metes

Thus, the shark can go 150 meters in 10 seconds.

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What is the nucleation mechanisms in which nuclei of the solid phase form in the interior of the liquid as atoms cluster together to form a packing arrangement similar to that found in the solid phase?

Answers

i  think its q because i suck on toes 


Final answer:

Nucleation mechanisms refer to the process where nuclei of a solid phase form within a liquid. This occurs as atoms cluster together to align in an arrangement found in a solid phase, ultimately giving rise to crystalline solids. However, when a liquid freezes before orderly alignment of molecules, it results in amorphous or noncrystalline solids.

Explanation:

The nucleation mechanisms that you're referring to is typically observed during the solidification of a liquid. Here, nuclei of the solid phase form in the interior of the liquid as atoms cluster together in a packing arrangement similar to that found in the solid phase. This process is essential in the formation of crystalline solids where the atoms, ions or molecules organize in a repeating pattern.

Certain arrangements of atoms in solids, ranging from simple cubic to body-centered cubic, echo this nucleation mechanism. For example, when a liquid cools down and freezes, it forms crystalline solids. The atoms arrange in a particular fashion, creating a distinct packing structure, whether it's cubic or otherwise. This unique arrangement provides a stable structure for the solid.

However, it's noteworthy that a liquid can freeze before its particles become ordered, resulting in the formation of amorphous solids or noncrystalline solids. Unlike crystalline solids, the particles in amorphous solids lack an ordered internal structure and are randomly arranged.

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if I spacecraft seems to be Motionless in deep space is given some type of quick push what will happen

Answers

When we give a quick push to the spacecraft, we apply a force in a short time. This is equivalent to saying that we give an impulse to the spacecraft. As the momentum theorem says the impulse that we give to the spacecraft is equal to the change in its momentum
[tex](F/\Delta t) = \Delta P[/tex]
where the momentum is defined as the product between the mass and velocity.
[tex]P =mv[/tex]
Therefore when we apply a quick push the speed of the spacecraft will change from zero to a constant nonzero value.

Answer:

it will move and won't stop until acted upon by an equal or opposite force

Explanation:

What would happen to mass and accelaration if the force on an object increases?? please help.

Answers

Wouldn't mass stay the same and acceleration increase or am I mistaken?

What is most often given a value of 0 to describe an object's position on a straight line?

Displacement
Reference
Distance
Ending location

Answers

Answer: reference.

To describe the position on a straigh line (one dimension motion) it is very common to use reference 0, i.e. you describe the position from the origin.

For example, to describe the position of the house from the corner, you use the corner as the point 0, which is the reference, and so the position ot the house will be the distance from the corner (rerence 0).


An instrument that measures and detects vibrations in earth is known as a _______.

Answers

a boom box, stereo set.
This device is to detect and measure earthquakes is called a SEISMOGRAPH.




I'm a given chemical reaction, the energy of the products is less than the energy of the reactants. Which statement is true for this chemical reaction?
A energy is absorbed in the reaction
B energy is released in the reaction
C there is no transfer of energy in the reaction
D energy is lost in the reaction

Answers

Answer: Option (B) is the correct answer.

Explanation:

A chemical reaction in which there is release of energy into the atmosphere is known as an exothermic reaction.

Also, energy of products is less than the energy of reactants for an exothermic reaction.

For example, A + B [tex]\rightarrow[/tex] C + D + Heat

Whereas a chemical reaction in which heat is absorbed by the reactant molecules is known as an endothermic reaction.

Also, energy of products is more than the energy of reactants in an endothermic reaction.

For example, A + B + Heat [tex]\rightarrow[/tex] C + D

Hence, we can conclude that the statement, energy is released in the reaction is true for this chemical reaction.

Why is the weight of an object more on Earth than on the Moon?
a.)The Moon is a satellite of Earth.
b.)The gravitational pull of the Moon is greater than that of Earth.
c.)The gravitational pull of Earth is greater than that of the Moon.
d.)The object’s mass is different on Earth and on the Moon.

Answers

Why is the weight of an object more on Earth than on the Moon? i would say c

Answer:

C

Explanation:

Gotta trust me fam

An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 mm and
a.44 caliber. the guns are fired into a 10-kg pendulum bob of length l. assume that the 9.0-mm bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g . if the 9.0-mm bullet causes the pendulum to swing to a maximum angular displacement of 4.3∘ and the .44-caliber bullet causes a displacement of 10.1∘ , find the ratio of the initial speed of the 9.0-mm bullet to the speed of the .44-caliber bullet, (v0)9.0/(v0)44.

Answers

Answer: v1o/v2o=0.8518777161

Explanation:

using the equation from an answer in part A (https://brainly.com/question/14482074)

cancel out L and g and input the other variables in the ratio

((10kg+0.006kg)/0.006kg)sqrt(2(1-cos(4.3))) = 125.1276088 m/s = v1o

((10kg+0.012kg)/0.012kg)sqrt(2(1-cos(10.1))) = 146.8844723 m/s = v2o

v1o/v2o=0.8518777161

Determine the total number of energy states in silicon between ev and ev-3kt

Answers

diecioenjcxie9w09phxdoxuqbx8wix

Wastes are poisonous to a cell and must be removed from the cytoplasm. Predict how cell size could affect the removal process and the survival of a cell

Answers

Final answer:

Cell size negatively affects the efficiency of waste elimination due to the surface area to volume ratio. Diffusion, which is vital for nutrient intake and waste removal, is less effective in larger cells, leading to potential accumulation of toxic waste and free radicals. Therefore, cell size and shape are crucial for effective waste elimination and overall cell health.

Explanation:

The size of a cell can have a significant impact on its ability to remove wastes and therefore on its survival. Cells require a balance between their surface area and volume to efficiently exchange substances with their environment. The surface area to volume ratio decreases as a cell grows, making it more difficult for substances to diffuse across the cell membrane at a rate necessary to maintain cell function. Diffusion is the primary mechanism through which cells take in nutrients and expel waste products. However, diffusion is only effective over short distances, hence the size of a cell is limited as large cells can potentially accumulate toxins or fail to acquire enough nutrients. Smaller cells, or cells with elongated or flattened shapes, have a higher surface area relative to their volume, allowing for more efficient waste removal and nutrient uptake.

Additionally, the build-up of waste products can be lethal to a cell, as these can interfere with cellular metabolism and lead to the production of harmful substances such as free radicals. These reactive chemicals can damage important molecules like DNA and contribute to diseases. Overall, the efficiency of waste elimination is crucial for the health and viability of a cell, and thus cell size and shape are critical to these processes.

Final answer:

The removal of waste from cells is less efficient in larger cells due to the increased distance substances must travel. This can result in toxic waste accumulation and impact cell survival. Cells adapt by maintaining a small size or a flattened shape to facilitate a more effective exchange of substances.

Explanation:

The process of waste removal in cells is closely related to the size and shape of the cell. Larger cells have a bigger problem with waste accumulation because the distance travelled by waste products to the cell membrane is greater, leading to an inefficient removal process. This inefficiency can cause the accumulation of waste products, including toxic substances like free radicals, which can interfere with normal cellular metabolism and even lead to cell death. These toxic substances may contribute to diseases such as cancer and cardiovascular disease if not efficiently removed from the cell.



In contrast, smaller cells or those with a flattened shape have a larger surface area relative to their volume, which allows for easier and quicker exchange of nutrients and waste with their environment. This is because substances have a shorter distance to travel to reach or leave any part of the cell. Diffusion is more effective in these cells, facilitating timely nutrient uptake and waste elimination, crucial for the cell's survival.



Ultimately, if a cell grows too large, its ability to intake nutrients and expel waste effectively is compromised. Cells have adapted to this limitation by remaining small, flattening, or developing structures like microvilli that increase surface area. Furthermore, multicellular organisms have evolved complex systems like the circulatory and lymphatic systems to help transport substances to and from individual cells, thereby overcoming the limitations of diffusion over larger distances.

If you put a straw into a glass of water, the straw looks to be bent, although nothing has really happened to the straw. The term that describes this property of light is A) absorption. B) diffraction. C) reflection. D) refraction

Answers

Refraction is when the light is changes speed and bends as it travels from medium to another. The water slows down the light, and the image appears to bend.


The term that describes this property of light is Refraction. The correct option is D.

What is refraction?

When a light ray falls on the interface of two medium like air and water, then the portion of light is reflected and another portion of the light is refracted into the water medium. The angle of incidence is equal to the angle of reflection but the angle of incidence is larger then the angle of refraction.

So, If you put a straw into a glass of water, the straw looks to be bent because of refraction of light into the water medium.

Refraction is when the light is changes speed and bends as it travels from medium to another. The water slows down the light, and the image appears to bend.

Thus, the correct option is D.

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A farm tractor tows a 3300-kg trailer up a 14" incline with a steady speed of 2.8 m/s. what force does the tractor exert on the trailer ( ignore friction.)

Answers

Final answer:

The force exerted by the tractor can be calculated with the equation F = mg sin(θ), where m is the mass of the trailer, g is the acceleration due to gravity and θ is the incline angle. Substituting given values, we can find the value of force.

Explanation:

The force that the tractor exerts on the trailer can be determined by using the principle of the forces in equilibrium. We can consider the component of the weight of the trailer acting down the slope (i.e. 3300 kg * 9.8 m/s² * sin(14°)) equal to the force exerted by the tractor.

So, the force exerted by the tractor F = mass * g * sin(θ)

Applying values into the equation: F = 3300 kg * 9.8 m/s² * sin(14°), we get the value of the force.

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Final answer:

To move the 3300-kg trailer up a 14° incline with a steady speed, the tractor must exert a force of about 12784.76 Newtons.

Explanation:

In this physics problem, the tractor is doing work on the 3300-kg trailer by moving it up along an incline. The force the tractor must exert can be calculated using the formula F = mg sin(θ), where m is the mass of the trailer, g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth), and θ is the angle of the incline. Using the given mass of 3300 kg and an angle of 14 degrees (which should be converted to radians for the formula: 14°=0.24 radians), we find that the force required to move the load with a constant speed on the incline (no acceleration) is about 12784.76 Newtons.

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A 10-kg cart moving at 5 m/s collides with a 5-kg cart at rest and causes it to move 10 m/s. Which principle explains the result? A) law of differential mass B) law of conservation of momentum C) law of unequal forces D) law of accelerated collision

Answers

Hello!

A 10-kg cart moving at 5 m/s collides with a 5-kg cart at rest and causes it to move 10 m/s. Which principle explains the result? A) law of differential mass B) law of conservation of momentum C) law of unequal forces D) law of accelerated collision

We have the following data¹:

ΔP (momentum before impact) = ?  

mA (mass) = 10 kg

vA (velocity) = 5 m/s

mB (mass) = 5 kg

vB (velocity) = 0 m/s

Solving:

ΔP = mA*vA + mB*vB

ΔP = 10 kg*5 m/s + 5 kg*0 m/s

ΔP = 50 kg*m/s + 0 kg*m/s

Δp = 50 kg*m/s ← (momentum before impact)

We have the following data²:

ΔP (momentum after impact) = ?  

mA (mass) = 10 kg

vA (velocity) = 0 m/s

mB (mass) = 5 kg

vB (velocity) = 10 m/s

Solving:

Δp = mA*vA + mB*vB

Δp = 10 kg*0 m/s + 5 kg*10 m/s

Δp = 0 kg*m/s + 50 kg*m/s

Δp = 50 kg*m/s ← (momentum after impact)

*** Then, which principle explains the result ?

Law of conservation of momentum, since the total momentum of body A and B before impact is equal to the total momentum of body A and B after impact.

Note:  Bodies of different masses and velocities may have the same kinetic energy, if proportionality between the units is maintained it can occur that they have the same kinetic energy.

Answer:

B) law of conservation of momentum

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Jack tries to place magnets on the door of his refrigerator. He observes that the magnets don’t stick. He guesses that the door of the refrigerator is made of a nonmagnetic substance. What stage of scientific investigation does his guess represent?

Answers

a hypothesis a believe

Your tongue and nose do not affect the functions of each other.
True or False ?

Answers

Answer:true

Explanation:

As shocking as it might be your nose and tongue some what function the same but for a question like this the answer would be true.

The smallest angle of inclined desk at which a book begins to slide off the desk is 15∘ relative to the horizontal.

Answers

The question appears to be incomplete.
I assume that we are to find the coefficient of static friction, μ, between the desk and the book.

Refer to the diagram shown below.
m = the mass of the book
mg = the weight of the book (g = acceleration due to gravity)

N = the normal reaction, which is equal to
N = mg cos(12°)

R =  the frictional force that opposes the sliding down of the book. It is
R = μN = μmg cos(12°)

F =  the component of the weight acting down the incline. It is
F = mg sin(12°)

Because the book is in static equilibrium (by not sliding down the plane), therefore
F = R
mg sin(12°) = μmg cos(12°)
[tex] \frac{sin(12^{o})}{cos(12^{o})} = \frac{\mu mg}{mg} = \mu \\\\ tan(12^{o}) = \mu[/tex]

Therefore, the static coefficient of friction is
μ = tan(12) = 0.213

Answer:  μ = 0.21 (nearest tenth)

The coefficient of friction between the book and the desk is [tex]\boxed{0.268}[/tex] .

Further Explanation:

When a body starts moving on an inclined plane at the minimum inclination, then the inclination of the plane at that instant is termed as the angle of repose. At the angle of repose, the sliding of the body kept on the inclined plane starts.

At this instant, the expression of force balancing on the book can be written as:

[tex]\boxed{{F_f}=mg\sin \theta }[/tex]

Here, [tex]{F_f}[/tex]  is the frictional force experienced by the book and [tex]mg\sin \theta[/tex]  is the weight of the book acting in the downward direction.

The friction force acting on the book in the upward direction along the inclined plane is:

[tex]\begin{aligned}{F_f}&=\mu N\\&=\mu mg\cos \theta \\\end{aligned}[/tex]

Substitute the value of the friction force acting on the book.

[tex]\begin{aligned}\mu mg\cos\theta=mg\sin \theta\\\mu=\tan \theta \\\end{aligned}[/tex]

Substitute the value of [tex]\theta[/tex]  in equation (1).

[tex]\begin{aligned}\mu &=\tan \left({15}\right)\\&=0.267\\\end{aligned}[/tex]

Thus, the coefficient of friction between the book and the desk is [tex]\boxed{0.268}[/tex] .

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Answer Details:

Grade: Middle School

Subject: Physics

Chapter: Laws of Motion

Keywords:

Smallest angle, inclined desk, angle of repose, friction force, begins to slide, off the desk, inclined plane, relative to horizontal, coefficient of friction.

What is the crankshaft's angular acceleration at t=1s?

Answers

Please provide the data. In order to give the best response to this question, the data or the information that was given at the start of the question needs to be provided. Making the data attached would help us to make the best answer and not make an educated guess as this would be impossible.

A ball is thrown in the air at an angle of 40∘. If the maximum height it reaches is 10m , what must be its initial speed?

Answers

Final answer:

To find the initial speed of a ball thrown in the air at an angle, that reaches a certain height, one needs to use the formula for the maximum height of a projectile.Hence, solving the equation, the initial speed of the ball should be about 14.14 m/s.

Explanation:

The question given is a typical problem in physics, specifically projectile motion. The maximum height that a projectile reaches in its trajectory is fully determined by the vertical component of its initial velocity. The equation that connects these two values is H = (Vo²sin²θ)/2g, where H is the maximum height reached, Vo is the initial speed, θ is the angle of launch, and g is the acceleration due to gravity, which is approximately 9.81 m/s² downwards. We know from the question that our ball reaches a maximum height of 10m when launched at an angle of 40 degrees, so we must solve the equation for Vo to find our answer.

Substituting the known values, 10 = (Vo²sin²40)/2*9.81. Solving for Vo gives VO ≈ 14.14 m/s. So, the initial speed of the ball should be about 14.14 m/s.

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Newton's first law of motion states that an object remains at rest unless a(n) ____ force acts on it. a. balanced c. gravitational b. frictional d. unbalanced Please select the best answer from the choice

Answers

It is an unbalanced force.
It is an unbalanced force.

What is electrical conductivity an example of?

Answers

It is an example of:  Metal wire has high electrical conductivity

a beaker has a mass of 125g. What is the mass of this beaker in decigrams

Answers

1250 decigrams
1 gram = 10 decigrams

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates. all the geometric parameters of the capacitor (plate diameter and plate separation) are now doubled. if the original energy density between the plates was u0, what is the new energy density?

Answers

The new energy density of the parallel-plate capacitor remains the same as the original energy density after all geometric parameters are doubled.

The energy density, u, of an ideal air-filled parallel-plate capacitor is given by the formula u =  rac{1}{2}  rac{Q^2}{C  imes volume}. The capacitance C of a parallel-plate capacitor is directly proportional to the area of the plates, A, and inversely proportional to the distance between the plates, d. When the geometric parameters of the capacitor are doubled, the area quadruples (since area is proportional to the square of the diameter), and the separation also doubles. Therefore, the new capacitance is eight times larger. However, since the charge Q remains the same and the volume between the plates has increased by a factor of eight (doubling each linear dimension), the new energy density, u', will be the same as the original energy density, u0.

The original energy density between the plates of an ideal air-filled parallel-plate capacitor can be calculated using the formula U₀ = Q² / (2C). When the geometric parameters are doubled, the new energy density U between the plates can be found by considering the new capacitance, which is inversely proportional to the plate separation.

A seagull flies at a velocity of 9.00 m/s straight into the wind. if it takes the bird 20.0 min to travel 6.00 km relative to the earth, what is the velocity of the wind?

Answers

Final answer:

The velocity of the wind against the seagull is found to be 4.0 m/s. When the seagull turns around, it will take approximately 7.7 minutes to return the same distance of 6.00 km with the wind. Wind affects the round-trip time as it reduces and increases ground speed during different legs of the trip.

Explanation:

Calculating Wind Velocity and Round-Trip Time for a Seagull

A seagull flies at a velocity of 9.00 m/s straight into the wind. To find the velocity of the wind, we need to understand that the ground speed of the seagull is the difference between its airspeed and the wind's velocity since it's flying into the wind. Since it traveled 6.00 km in 20.0 min, we convert this to meters per second to get the ground speed, which is 300.0 m/s. Now we can set up the equation:

Ground speed = Air speed - Wind speed

300.0 m/s = 9.00 m/s - Wind speed

After solving, the wind speed is -4.0 m/s, which means the wind is blowing at 4.0 m/s in the opposite direction the seagull is flying.

If the bird turns around and flies with the wind, its ground speed will be the sum of its airspeed and wind speed. To find the time to return 6.00 km, we calculate:

Time = Distance / (Airspeed + Wind speed)

Time = 6000 m / (9.00 m/s + 4.0 m/s) = 461.54 seconds, or approximately 7.7 minutes to fly back with the wind.

Discussing the wind effect on round-trip time, we see that the wind increases the total time taken for a round trip due to the reduced ground speed when the seagull flies into the wind and a slightly less increased ground speed when flying with the wind, compared to no wind where the ground speed would be constant.

A large group of people get together. each one rolls a die 180 times, and counts the number of 1's. about what percentage of these people should get counts in the range of 15-45?

Answers

Around 99% - 100%. This is because a die is six sided, which gives the odds of a one coming up being roughly 17% independent of every roll. 17% of 180 trials comes out to 30-31 times a one will show up every 180 trials. This puts you right in the middle of the 15-45 range which means that somebody will almost ALWAYS reach 15-45 one's in a trial of 180 rolls.
Final answer:

The majority of people should roll a 1 approximately 30 times when rolling a die 180 times, given the law of large numbers. The likelihood that individuals will roll a 1 between 15 to 45 times is high, but a precise percentage would require a binomial distribution calculation.

Explanation:

This problem is an example of a binomial experiment where each roll of the die is an independent trial with two possible outcomes: getting a 1, or not getting a 1. The theoretical probability (p) of rolling a 1 on a fair six-sided die is 1/6=0.1667. So on average, if a die is rolled 180 times, you'd expect to get a 1 about (180)*(1/6)=30 times.

However, the actual results will vary due to chance. This is where the law of large numbers comes in: the more times you roll the die, the closer you'll get to the expected results. Variations due to chance will tend to cancel out, so you would expect the majority of people to roll a 1 somewhere in the range of 15 to 45 times.

To get a specific percentage, you'd need to use a binomial distribution, which is beyond the scope of High School-level math. But, given a large enough group of people rolling the dice 180 times each, you'd expect the majority to fall within this range, because it's close to the expected value of 30.

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The mass of 29000 N elevator is

Answers

In this case we are given a force of 29,000 N. We know that the equation we  can use is:

Force = mass * acceleration

 

However this is not just any type of force, because this is the weight of the elevator. So when the force is equal to weight, the acceleration acting is simply gravity. Therefore:

 

weight = mass * gravity

 

Calculating for mass:

mass = 29,000 N / (9.8 m/s^2)

mass = 2,959.18 kg

a kangaroo jumps to a vertical height of 2.8 m. How long was it in the air before returning to earth

Answers

The total time for which the kangaroo remains in the air will be "1.51 s".

According to the question,

The initial velocity will be:

→ [tex]v^2 = u^2 +2 ah[/tex]

or,

→ [tex]u = \sqrt{v^2 - 2gh}[/tex]

By substituting the values, we get

      [tex]= \sqrt{(0)^2-2(-9.8)(2.8)}[/tex]

      [tex]= 7.41 \ m/s[/tex]

Now,

The time of ascent will be:

→ [tex]v = u+at[/tex]

or,

→ [tex]t = \frac{v-u}{-g}[/tex]

     [tex]= \frac{0-7.41}{-9.8}[/tex]

     [tex]= 0.756 \ s[/tex]

hence,

The total time will be:

→ [tex]t_{tot} = 0.756+0.756[/tex]

         [tex]= 1.51 \ s[/tex]

Thus the above response is right.

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Final answer:

The kangaroo is in the air for approximately 1.2 seconds.

Explanation:

The time it takes for the kangaroo to jump to a vertical height of 2.8 m and return to the ground can be calculated using the equations of motion. Since there is no horizontal motion, we can focus on the vertical motion. To find the time the kangaroo is in the air, we need to find the time taken for the kangaroo to reach its maximum height and then double that time to account for the descent.

To find the time taken to reach the maximum height, we can use the equation:

t = \sqrt{\frac{2h}{g}}

where t is the time taken, h is the vertical height, and g is the acceleration due to gravity.

Substituting the given values into the equation:

t = \sqrt{\frac{2\times2.8}{9.8}}

t \approx 0.60 \, \text{s}

Since the kangaroo takes the same amount of time to descend to the ground, the total time in air will be approximately 1.2 seconds.

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