A partial sum of an arithmetic sequence is given. find the sum. 5 9 13 . . . 381

Sure, I can explain that to Billy Bob.

Billy Bob, the bowling ball and the balloon have the same size, but they have different masses. The bowling ball has a much greater mass than the balloon, which means that it has more inertia. Inertia is the tendency of an object to resist changes in its motion. The bowling ball has more inertia than the balloon, so it takes more force to stop it.

When you dropped the bowling ball and the balloon, they both started with the same initial velocity. However, the bowling ball's greater mass meant that it had more inertia, so it resisted the force of gravity more than the balloon. This caused the bowling ball to accelerate more slowly than the balloon.

As a result, the bowling ball took much longer to stop than the balloon.

Here's a simplified analogy: imagine that you have two cars, one that is very heavy and one that is very light. If you push them both forward with the same amount of force, the heavy car will accelerate more slowly than the light car. This is because the heavy car has more inertia than the light car.

I hope this explanation helps!

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Answer:

no

Explanation:

Answer:

The answer is Kinetic Energy.

Explanation:

Kinetic energy basically means energy of mass that's in motion.

The incline angle should be about 4.7 degrees and the block's acceleration would be greater than that of the rolling sphere.

a) Let M be the mass of the sphere, R be its radius, and θ be the incline angle. When the sphere rolls down the incline without slipping, the friction force acting on it causes a torque about its center of mass, which results in a rotational acceleration. If a is the linear acceleration of the center of mass, and α is the angular acceleration, then we have:

a = α R

Also, the torque τ caused by the friction force is given by:

\(τ = I α\)

where I is the moment of inertia of the sphere about its center of mass. For a solid sphere, I is given by:

\(I = (2/5) M R^2\)

Since the sphere rolls without slipping, the friction force is related to the normal force N by:

\(f = μ N\)

where f is the friction force, and μ is the coefficient of static friction. The normal force is related to the weight of the sphere by:

N = M g cos θ

where g is the acceleration due to gravity.

The net force acting on the sphere down the incline is given by:

\(Fnet = M g sin θ - f\)

The linear acceleration of the center of mass is given by:

\(a = Fnet / M\)

Substituting for f and N, we get:

\(a = g (sin θ - μ cos θ)\)

Equating this to α R, we get:

g (sin θ - μ cos θ) = α R

Substituting for α using the expression for I and τ, we get:

\(g (sin θ - μ cos θ) = τ / (2/5 M R)\)

Substituting for τ using the expression for f and N, we get:

\(g (sin θ - μ cos θ) = (μ M g cos θ) R / (2/5)\)

Simplifying, we get:

\(tan θ = (5/7) μ\)

Substituting the given values, we get:

tan θ = (5/7) (0.23)

\(θ = arctan(0.082)\)

θ = 4.7 degrees (approximately)

Therefore, the incline angle should be about 4.7 degrees

b) Since the block is frictionless, its acceleration down the incline is given by:

a' = g sin θ

Substituting the value of θ obtained in part a), we get:

a' = g sin(4.7) ≈ 0.41 g

Since this is greater than 0.23g, the block's acceleration would be greater than that of the rolling sphere.

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The expression (sqrt(5) + 2)(4 - sqrt(5)) simplifies to 2sqrt(5) + 3.

To evaluate the expression using the FOIL method, we need to multiply the first terms, outer terms, inner terms, and last terms.

The expression is (sqrt(5) + 2)(4 - sqrt(5)).

First, multiply the first terms: sqrt(5) * 4 = 4sqrt(5).

Next, multiply the outer terms: sqrt(5) * -sqrt(5) = -5.

Then, multiply the inner terms: 2 * 4 = 8.

Lastly, multiply the last terms: 2 * -sqrt(5) = -2sqrt(5).

Now, combine the like terms: 4sqrt(5) - 5 + 8 - 2sqrt(5).

Simplify the expression: 4sqrt(5) - 2sqrt(5) - 5 + 8.

Combine the like terms again: (4 - 2)sqrt(5) + 3.

Finally, simplify further: 2sqrt(5) + 3.

Therefore, the expression (sqrt(5) + 2)(4 - sqrt(5)) simplifies to 2sqrt(5) + 3.

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The net electric flux through the inner surface of a uniformly distributed charged spherical insulating shell is zElectric flux is defined as the electric field passing through a given area. In this case, we consider the inner surface of the spherical shell. The flux through a closed surface is proportional to the charge enclosed by that surface according to Gauss's law.

Since the charge is uniformly distributed throughout the shell, the electric field lines originating from each element of charge on the outer surface will pass through the inner surface. However, due to the symmetrical nature of the distribution, for every field line passing through the inner surface in one direction, there will be an equal and opposite field line passing through in the opposite direction. These field lines cancel each other out, resulting in a net electric flux of zero through the inner surface.

Therefore, the net electric flux through the inner surface of a uniformly distributed charged spherical insulating shell is zero, indicating that there is no electric field passing through the inner surface of the shell.

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Answer:

Read the explanations ●

Explanation:

Electric power is the rate which energy is transformed to or from a part of an electrical circuit. A battery can deliver energy or a circuit element , the power is equal to the voltage difference across the element multiplied but the current...

Answer:

See explanation below -

Explanation:

Electrical power is, by definition, the rate at which electrical energy is absorbed in a circuit. However, we are asked the electrical power with respect to current.

This is a perfect example of Ohm's law, or the formula of power. It defines the relationship between power, voltage and current, as such -

P = VI

As you can see, electrical power is directly proportional to the current.

Now the potential difference is also recognized as the voltage, and is similarly directly proportional to the electrical power.

Hope that helps!

Answer: Magnitude of the force exerted on the egg by the ground is 9.2N

Explanation:

Given the following :

Mass of egg (m) = 150g = 0.15kg

Height(h) from which egg is dropped = 3m

velocity of egg before hitting the ground (u) = 4.4m/s

Final velocity of egg (V) = 0

Time taken (t) = 0.072s

Magnitude of the force exerted on the egg by the ground can be found by applying Newton's 2nd law:

Momentum = mass × velocity

From Newton's second law:

Force = mass × change in Velocity with time ;

That is

F = m * ΔV / t

Inputting our values

F = 0.15 * (4.4 - 0) / 0.072

F = 0.15 × (4.4 / 0.072)

F = 0.15 × 61.11

F = 9.16N

F = 9.2N

Answer:

9.2 N

Explanation:

Just took practice quiz

the full-size pump is predicted to deliver a flow rate of 406.8 gpm with a head increase of 70.3 ft, assuming dynamical similarity holds.

To predict the performance of the full-size pump based on the results of the half-scale model, we need to apply the principle of dynamical similarity. This principle states that if two systems have the same geometric shape and their corresponding fluid flows have the same Reynolds number, then they will exhibit similar behavior. In this case, the Reynolds number is a dimensionless quantity that represents the ratio of inertial forces to viscous forces in the fluid.
Given that the half-scale model operates at 500 rpm and delivers 135 gpm with a head increase of 25 ft, we can use the following formula to determine the corresponding flow rate and head increase for the full-size pump:
(Q2/Q1) = (N2/N1) * (D2/D1)^2 * (S1/S2)
(H2/H1) = (N2/N1)^2 * (D2/D1)^2 * (S2/S1)
Where Q1 and Q2 are the flow rates for the half-scale model and full-size pump respectively, N1 and N2 are the rotational speeds, D1 and D2 are the diameters, H1 and H2 are the head increases, and S1 and S2 are the specific gravities of the fluids being pumped.
Substituting the given values, we get:
(Q2/135) = (1200/N2) * (1/2)^2 * (0.95/0.90)
(H2/25) = (N2/1200)^2 * (1/2)^2 * (0.90/0.95)
Solving for Q2 and H2, we get:
Q2 = 406.8 gpm
H2 = 70.3 ft
Therefore, the full-size pump is predicted to deliver a flow rate of 406.8 gpm with a head increase of 70.3 ft, assuming dynamical similarity holds.

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Answer:

r_eq = 320 Ω

Explanation:

It is asked to find the equivalent resistance of a series circuit formed by two resistors r₁ and r₂

           r_eq = r₁ + r₂

           r_eq = 100 + 220

           r_eq = 320 Ω

with this value we can find the current that circulates through the circuit

           V = r_eq i

            i = V / r_eq

            i = 6.4 / 320

            i = 0.02 A

The distance between the watcher and the batter is 396 meters.

Given speed of sound in the air is 330 m/s, time is 1.2s, we need to calculate the distance from the batter. Let us use the formula for distance which relates the distance with speed and time. Distance is the sum of an object's movements, regardless of direction. The SI unit of speed is the metre per second (m/s), and speed is defined as the ratio of distance to time.

Distance = speed * time.

Therefore, distance = 330 * 1.2 m  = 396 m.

The distance between the watcher and the batter is 396 m. So, the correct answer is (b) 396 m.  Therefore, the distance between the watcher and the batter is 396 meters.

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Motor neurons are a type of nerve cell that transmit signals from the central nervous system to muscles or glands, resulting in movement or secretion. Among the neuron types you mentioned, the one often found to be a motor neuron is the multipolar neuron.

Multipolar neurons have multiple dendrites and a single axon, with the cell body located between them. These neurons are commonly found in the brain and spinal cord, where they serve as motor neurons responsible for controlling muscle contractions. By receiving signals from other neurons and sending them to muscles, multipolar motor neurons enable voluntary movements and reflexes.

In contrast, bipolar neurons have two processes extending from the cell body, unipolar neurons have a single elongated process, and anaxonic neurons lack a clearly distinguishable axon. However, these neuron types are typically associated with sensory processing rather than motor control.

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The average speed at which charges (electrons) move through the circuit The drift speed of a circuit is the average speed at which charges (electrons) move through the circuit. It is a measure of how fast electrons travel through a wire. The speed of electrons through

a wire is very slow, only about a few millimeters per second, but the effect of their motion is felt as an electric current through the circuit. Therefore, the drift speed is the speed at which electrons move in a current.The speed at which a given capacitor charges or discharges is determined by the resistance and capacitance of the circuit, and is not related to the drift speed of the circuit. Changes in the electric field propagate through a wire at the speed of light, which is much faster than the drift speed of the electrons moving through the wire

The drift velocity of electrons in a current-carrying conductor is determined by the electric field applied to the conductor. The electric field sets up an electric force on the electrons, which accelerates them through the conductor. However, the motion of the electrons is also resisted by the random collisions with atoms in the conductor. These collisions cause the electrons to scatter in different directions, which results in an overall net drift velocity that is much slower than the velocity of the electrons themselves.

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Answer:

If we want to change the kinetic energy of a massive object, we must do work on it. For example, in order to lift a heavy object, we must do work to overcome the force due to gravity and move the object upward. If the object is twice as heavy, it takes twice as much work to lift it the same distance.

Explanation:

The mass of water at 100°C that should be added to 15g of water at 40°C to make the temperature of the mixture 50°C is 3 g.

The mass of water required is calculated as follows:

Heat lost = heat gained

Neglecting heat losses to the surroundings

Heat change = mass * specific heat capacity * temperature change

Neglecting specific heat of water

Heat lost = mass * (100 - 50)

Heat gained = 15 * (50 - 40)

Mass * (100 - 50) = 15 * (50 - 40)

Mass = (15 × 10 )/50

Mass of water = 3g

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Complete question:

What mass of water at 100°c should be added to 15g of water at 40°c to make the temperature of the mixture 50°c?

[Neglect heat losses surrounding]?

Answer:mass of an electron is 1/1840 mass of a proton

Explanation:

Since the mass of an electron is 1/1840 the mass of a proton (and neutron) and an atom contains both protons and electrons in equal number together with neutron, the total mass of the electrons in and atom is much less that the total mass of the protons and neutrons.

The magnitude of the total force on the wire is 0.968 N and it is directed along the negative y axis.

A force is a pull or push upon an object resulting from the object's interaction with another object. Forces can cause an object to change its motion or velocity.

In this case, the wire is experiencing a magnetic force due to the current in the wire and a magnetic field acting on it. To calculate the magnitude and direction of the total force on the wire, we can use the right-hand rule for magnetic forces. According to this rule, if the thumb of the right hand points in the direction of the current, and the fingers point in the direction of the magnetic field, then the palm will point in the direction of the force.

Let's begin by determining the magnitude of the magnetic force on each section of the wire.

Magnetic force on the section of the wire that lies along the z-axis:

Magnetic force on the section of the wire that lies along the line y = 2x in the xy plane:

Now, we need to calculate the total force on the wire by adding up the forces on each section of the wire. Since the forces are at right angles to each other, we can use the Pythagorean theorem to find the magnitude of the total force.

Ftotal² = Fz² + Fy²Ftotal² = (0.288 N)² + (0.792 N)²F

total = 0.849 N

Now, we need to find the direction of the total force. According to the right-hand rule for magnetic forces, the force on the section of the wire that lies along the line y = 2x in the xy plane is directed along the negative y-axis. Therefore, the total force on the wire is also directed along the negative y-axis.

Thus, the magnitude of the total force on the wire is 0.849 N, and it is directed along the negative y-axis.

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The tank will contain 350 lb of salt when it is full of brine.

Let x be the amount of salt in the tank when it is full.

Then:

x = 50 + 1 * (400 - 100) = 50 + 300 = 350 lb

So, the tank will contain 350 lb of salt when it is full of brine.

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Newton's 2nd law of motion says:

Net force = (mass) · (acceleration) .

Newton didn't make up this law for his health.

Let's use it to answer this question about the car moving down the road.

Net force on the car = (car's mass) · (car's acceleration).

But the net force on the car is zero.  So we can write:

0 = (car's mass) · (car's acceleration).

Look at the right side of this equation.

Newton's law tells us that the product of the car's mass and the car's acceleration is zero.

That tells us that at least one of three things must be true.

Either 1). the car's mass is zero, or 2). the car's acceleration is zero, or 3). Newton was crazy.

We're pretty sure that 1). and 3). are false. The car's acceleration is zero.

What does this mean ? It means that the car's speed and direction are not changing.

That's exactly what Choice-B says.

To achieve an outlet temperature of 125°C, needed a heat flux of 6919 W/m².

To solve this problem, we need to use the energy balance equation, which relates the heat transfer rate, mass flow rate, specific heat capacity, and temperature difference.

Q = mdot × cp × (Tout - Tin)

Where,

Q = heat transfer rate (W)

mdot = mass flow rate (kg/s)

cp = specific heat capacity of air (J/kg.K)

Tout = outlet temperature (K)

Tin = inlet temperature (K)

We can assume that the air is incompressible, and thus the specific heat capacity of air at constant pressure (cp) can be taken as a constant value of 1005 J/kg.K.

Next, we can use the Reynolds number to determine the flow regime in the tube.

Re = (ρ × D × V) / μ

Where,

ρ = density of air (kg/m³)

D = diameter of the tube (m)

V = velocity of air (m/s)

μ  = viscosity of air (Pa.s)

Assuming atmospheric pressure and using the properties of air at 20°C, we get:

ρ = 1.2041 kg/m³ and μ = 1.81 x 10^-5 Pa.s

Re = (1.2041 kg/m³ × 0.05 m × (0.005 kg/s / (π×(0.025 m)² / 4))) / (1.81 x 10^-5 Pa.s) = 26197

Since the Reynolds number is greater than 4000, we can assume that the flow is turbulent and fully developed.

Next, we can use the Dittus-Boelter equation to calculate the heat transfer coefficient (h).

ν = 0.023 × Re^(4/5) × Pr^(0.4)

Where,

Pr = Prandtl number of air (unitless)

Pr = (cp × μ) / k, where k is thermal conductivity of air at 20°C, k=0.0263 W/m.K

Pr = (1005 J/kg.K × 1.81 x 10^-5 Pa.s) / 0.0263 W/m.K = 0.706

ν = 0.023 × (26197)^(4/5) × (0.706)^(0.4) = 119.23

h = (ν × k) / D = (119.23 × 0.0263 W/m.K) / 0.05 m = 62.25 W/m².K

Now we can calculate the required heat flux using the energy balance equation.

Q = mdot × cp × (Tout - Tin) = h × pi × D × (Tout - Tin)

We can rearrange the equation to get the heat flux (q).

q = Q / (π × D × (Tout - Tin)) = h × (Tout - Tin)

Substituting the values, we get:

q = 62.25 W/m².K × (125°C - 20°C) = 6919 W/m²

Therefore, to achieve an outlet temperature of 125°C, we need a heat flux of 6919 W/m².

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Wind energy has moderate to high net energy, can be used on existing farmlands, but may pose risks to birds and has reliability issues.

Wind energy is a renewable energy source that harnesses the power of wind to generate electricity through wind turbines. It has a moderate to high net energy yield, meaning it produces more energy than it takes to create and maintain the system. This makes it an attractive option for sustainable energy production.

Additionally, wind turbines can be installed on existing farmlands without disrupting agricultural activities, providing dual land use. However, wind energy has some drawbacks. Turbines can pose a threat to birds, particularly if they are located near migratory routes or habitats.

Moreover, wind energy is not always reliable as it depends on wind availability, which can be variable and unpredictable. Despite these challenges, wind energy remains an important component of a diverse and sustainable energy mix.

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Potassium would be the least malleable.

A is the ideal answer.

The metal that is least bendable is nickel. The strength of the material vs. compressive forces would need to be taken into consideration because, by definition, the less malleable a substance is, at least in the metallurgical sense, the more brittle it is.

They alter the ions' normal arrangement, which makes it more challenging for the layers to slide over one another. As a result, the alloy is tougher, less malleable, and less ductile than the pure metal (in which the layers slip over each other more easily).

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No

Refer to the attachment for calculations

The speed of the hot dog cart going at point B wen jasmine finally wakes up is 21.36 m/s.

Mass of the cart = m = 327 Kg

Speed of the cart while rolling downhill = v = 2.9 m/s

Height of the hill = h = 50 m

Height at point B = h' = 30 m

Speed of the cart when jasmine wakes up = v' =

Using the conservation of energy theorem,

= sum of kinetic and potential energy initially = sum of kinetic energy finally at point B

= mgh + (1/2)mv² = (1/2)mv'²

= gh + (1/2)v² = (1/2)v'²

= 9.81 X (50-30) + (1/2) X 2.9² = (1/2)v'²

= v'² = 21.36 m/s

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Explanation:

is this a math problem because I don't get it neither

The type of figurative language present in the example "in leaves no step had trodden black" is personification.

Personification is a figure of speech in which human qualities or actions are attributed to non-human entities. In the given example, the phrase "leaves no step had trodden black" personifies the leaves by suggesting that they have the ability to tread or walk.

By attributing the human action of stepping to the leaves, the poet gives them a sense of agency and animates them. This personification enhances the imagery of the poem, creating a vivid picture of untouched and unexplored surroundings, where the leaves have remained undisturbed.

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The figurative language present in the phrase 'In leaves no step had trodden black' is imagery. This phrase creates a visual image for the reader, contrasting with symbol, metaphor, and personification.

The phrase 'In leaves no step had trodden black' from your question is an example of imagery. Imagery refers to language that appeals to one or more of the five senses. Here, this phrase creates a visual image of untouched leaves, helping the reader to more vividly imagine the scene being described. It does not suit the definitions of symbol, metaphor, or personification. A symbol represents itself and something else simultaneously, a metaphor makes a direct comparison between two unlike things, and personification assigns human traits to non-human entities or concepts. In this case, the leaves are not representing something else (symbol), not being compared directly with something else (metaphor), and not given human traits (personification).

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Answer:

The object traveled 4 cm by the end of eight seconds. Correct: A)

Explanation:

Speed vs Time Graph

In a speed-time graph, speed is plotted on the vertical axis and time is plotted on the horizontal axis. If the graph is a horizontal line, the speed is constant, if the line is sloped up, the speed is increasing and the acceleration is positive and constant, and if the line is sloped down, the speed is decreasing and the acceleration is negative and constant.

The distance traveled by the object can be found by calculating the area under the graph and above the x-axis.

The graph provided shows two different zones: the first 4 seconds, the speed is constant at 1 cm/s, and the last 4 seconds, the speed is zero, i.e. the object is not moving.

The area behind the first zone is a rectangle of height 1 cm/s and base 4 sec, thus the distance is 1 * 4 = 4 centimeters.

The second zone corresponds to an object at rest, thus no distance is traveled.

The object traveled 4 cm by the end of eight seconds.

A) Correct. As shown above

B) The distance traveled is 4 cm. Incorrect

C) The distance traveled is 4 cm. Incorrect

D) The distance traveled is 4 cm. Incorrect

The effective access time for the system is 5.95 units of time.

Calculate the effective access time for the system with a given cache hit ratio, we can use the concept of the "average memory access time" (AMAT).

The AMAT takes into account the time required for both cache access and RAM access, weighted by their respective hit and miss probabilities.

Cache access time: 1 unit of time (since cache access is 100 times faster than RAM access)

RAM access time: 100 units of time

Cache hit ratio: 95% (or 0.95)

Calculate the effective access time (EAT), we can use the following formula:

EAT = (cache hit time) + (cache miss time * miss ratio)

Cache hit time = cache access time = 1 unit of time

Cache miss time = RAM access time = 100 units of time

Miss ratio = 1 - cache hit ratio = 1 - 0.95 = 0.05

Plugging in the values, we get:

EAT = (1 * 0.95) + (100 * 0.05) = 0.95 + 5 = 5.95 units of time

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Given,

a = 20cm

B = 0 T to 0.55t

Δt = 15msms

E = \(-N Δ(BA) / Δt\)

E = -(0.55) * \((0.20)^{2}\)/15*\(10^{-3}\)

E = - 14.66 volt

\(E_{net}\) = 9 - (-14.66) = 23.66 volt

23.66 = I(20)

I = 1.183 A

What is magnetic field ?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. 278 The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, like those utilized in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetized things.

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Answer:

The new volume is the same as the initial volume, i.e. 20 mL.

Explanation:

To find the new volume we can use the Ideal gas law:

\( PV = nRT \)

Where:

P: is the pressure

V: is the volume

R: is the gas constant

n: is the number of moles

T: is the temperature

Initially, we have:

\( \frac{P_{i}V_{i}}{T_{i}} = nR \)    (1)

In the final state:  

\( \frac{P_{f}V_{f}}{T_{f}} = nR \)    (2)

By equating equation (1) and (2) we have:          

\( \frac{P_{i}V_{i}}{T_{i}} = \frac{P_{f}V_{f}}{T_{f}} \)  

\( \frac{P_{i}V_{i}}{T_{i}} = \frac{2P_{i}V_{f}}{2T_{i}} \)  

\(V_{f} = \frac{2T_{i}*P_{i}*V_{i}}{T_{i}*2P_{i}}\)

\( V_{f} = V_{i} \)

\( V_{f} = 20.0 mL \)

Therefore, the new volume is the same as the initial volume, i.e. 20 mL.

I hope it helps you!