7. Explain how changes in temperature affect the particle motion of a substance. (3 points)

Chen, Roll, and Ross included several factors in their multifactor model. Specifically, their model included the market factor, size factor, book-to-market factor, and momentum factor.

The market factor captures the overall performance of the stock market and is typically measured by the returns of a broad-based market index such as the S&P 500.

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Answer:

Well first for criteria think what would the rover need in order to sustain itself on Venus. And for constraints think of anything that could possibly affect the rover( ex: gasses, active volcanoes)

Explanation:

Criteria: Make the rover self sustainable, and allow the rover to have a mission on Venus( ex: collect rock samples)

Constraints, as I mentioned above gasses, and active volcanoes.

I hope this helps! :)

a) D2022 = $1.9975, D2023 = $2.27715, D2024 = $2.60554, D2025 = $2.98868, D2026 = $3.43243

b) Po = $13.63

c) Dividend yield = 13.85%, Capital gains yield = 74.52%, Expected total return = 88.37%. Dividend yield = 17.89%, Capital gains yield = -23.29%, Expected total return = -5.40%.

a) Dividend is the distribution of earnings to shareholders. Expected dividend for each year can be calculated as follows:

D2022 = D0 (1 + g) = $1.75 (1 + 0.14) = $1.9975

D2023 = D2022 (1 + g) = $1.9975 (1 + 0.14) = $2.27715

D2024 = D2023 (1 + g) = $2.27715 (1 + 0.14) = $2.6055415

D2025 = D2024 (1 + g) = $2.6055415 (1 + 0.14) = $2.98868161

D2026 = D2025 (1 + g) = $2.98868161 (1 + 0.14) = $3.432429195

b) The present value of dividends expected in 2022, 2023, 2024, 2025 and 2026 can be calculated using the following formula:

PVD = D / (1 + r)t

where

PVD = present value of dividends expected

D = dividend expected in a future year

t = number of years from now

r = required rate of return

PVD2022 = $1.9975 / (1 + 0.12)¹ = $1.77700934579

PVD2023 = $2.27715 / (1 + 0.12)² = $1.88843867485

PVD2024 = $2.6055415 / (1 + 0.12)³ = $1.99719364693

PVD2025 = $2.98868161 / (1 + 0.12)⁴ = $2.10928913223

PVD2026 = ($3.432429195 + ($3.432429195 * 1.05)) / (1 + 0.12)⁵ = $2.25661605368

The present value of the stock price that should exist at the end of 2026 can be calculated using the constant growth equation:

Po = D1 / (r - g)

where

Po = price of stock today

D1 = dividend expected at the end of 2026r = required rate of return

g = expected growth rate

Po = $3.60484320761

Total present value of all dividends expected plus the present value of the stock price at the end of 2026 can be calculated using the formula:

Total PV = PVD2022 + PVD2023 + PVD2024 + PVD2025 + PVD2026 + PoTotal PV = $1.77700934579 + $1.88843867485 + $1.99719364693 + $2.10928913223 + $2.25661605368 + $3.60484320761 = $13.6333900619

The value of the stock today, Po, is $13.63.

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The components in a circuit that will most likely have the most resistance is light bulb due to heating effect of current.

Resistance is the opposition to the flow of electrons in an electrical conductor.

The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.

V=IR

where;

During a high tension transmission, electricity is often transmitted at low current and high voltage, due to heating effect of current. The heating effect of current is due to its resistance.

Thus, the components in a circuit that will most likely have the most resistance is light bulb due to heating effect of current.

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The complete question is below:

Which of the following components in a circuit will most likely have the most resistance?

Battery

Copper wire

Closed switch

Light bulb

For the 4-volt, 0.5-watt lamp to receive the proper power, R1 should be 48 ohms.

To find the required resistance of R1, we need to use Ohm's law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R), i.e., I = V/R.

First, we need to determine the current that the lamp requires. The power (P) of the lamp is given by P = IV, where I is the current flowing through it, and V is its voltage rating. We know that the power of the lamp is 0.5 watts and its voltage rating is 4 volts. Substituting these values, we get:

0.5 = I * 4

Solving for I, we get:

I = 0.5/4 = 0.125 amps

Now, we can use the current value to determine the resistance of R1 using Ohm's law. We know that the voltage drop across R1 is 6 volts (the total voltage of the battery minus the voltage of the lamp). Substituting the values of I and V into the formula, we get:

R1 = V/I = 6/0.125 = 48 ohms

Therefore, R1 should be 48 ohms to supply the correct current to the 4-volt, 0.5-watt lamp.

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The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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Force equals mass time acceleration. Weight is a force and it can replace force in the equation. The acceleration would be gravity, which is an acceleration.

1.)

Fw (weight) = m (mass) · g (gravity, 9.8 m/s²)

Fw = m * 9.81 m/s²

560N = m · 9.81 m/s²

m ≈ 57.08 kg

2.)

d = 350 meters

t = 65 seconds

velocity = d/t

velocity = 350 meters / 65 seconds

velocity ≈ 5.38 meters/sec

3.)

Force = 35N

Distance = 2 meters

Work = Force · Distance

Work = 35N · 2 meters

Work = 70 J

Answer:

the scientific study of measurement.

Answer:

Direct variation suggests that two variables change in the same direction, when one variable decreases the other increases.

The image is real and is found at a distance of 33.33cm.

The term lens is used to describe any refracting surface. We know that a lens could be concave or convex in nature.  Given that fact, we are to find the nature of the image that is formed by the convex lens.

Also;

1/f = 1/u + 1/v

1/v = 1/f - 1/u

f = focal length

u = object distance

v = image distance

1/v = 1/25 - 1/85

1/v = 0.04 - 0.001

v = 33.33cm

The image is real and is found at a distance of 33.33cm.

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The projectiles launch allows to find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

Projectile launching is an application of kinematics for motion in two dimensions, where there is no acceleration on the x axis and the acceleration on the y axis is the gravity acceleration.

In the attached diagram we can see a corner of the movement. Where the x axis is horizontal and the y axis is vertical, where the zero of the system is at the base of the cliff

In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff

           y = y₀ + \(v_{oy}\) t - ½ g t²

where y and y₀ are the current and initial position, \(v_{oy}\) is the initial vertical velocity, g the acceleration of gravity and t the time

When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 25.00 m

           0 =y₀ + 0 - ½ g t²

          t = \(\sqrt{\frac{2y_o}{g} }\)

Let'se calculate

           \(t = \sqrt{ \frac{2 \ 2.25 }{9.8 } }\)

           t = 2,259 s

They indicate that the stone fell at a horizontal distance of 40 m,

           x = \(v_{ox}\) t

            v_{ox} = \(\frac{x}{t}\)

           v_{ox}  = \(\frac{40}{2.259}\)

           v_{ox} = 17.71 m / s

In conclusion, using theprojectiles launch we can find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

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Answer:

Thank me mark me brainliest

Explanation:

I did not explain because i got a photo

Question 1

T=2*pi*sqrt(m/k) 

dimension of T=sec

dimension of 2*pi=nil(dimensionless)

dimension of m=kg

equation dimension

sec=sqrt(kg/k)

sec^2=kg/k

k=kg/sec^2

so dimension of k will be 

MT^(-2) 

dimension of N/m=kgms^(-2)/m=kgs^(-2) so it is same 

Question 2

F=Gm1*m2/r^2

Dimension of F=MLT^(-2)

MLT^(-2)=G*M*M/L^2

G=ML^3T^(-2)/M^2=M^(-1)L^(3)T^(-2)

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The law of conservation of matter states that matter cannot be created or destroyed, only transformed from one form to another.

When a tree grows and increases its mass, it may seem like this law is being violated.

However, upon closer examination, we can see that the tree is not creating new matter, but rather it is transforming existing matter into new forms.

The tree uses energy from sunlight to convert carbon dioxide from the air and water from the soil into glucose, a type of sugar.

This process, known as photosynthesis, results in the creation of new organic matter in the form of leaves, branches, and roots.

As the tree grows, it continues to transform matter from its environment into new forms, but the total amount of matter in the system remains constant.

Therefore, the growth of a tree is not a violation of the law of conservation of matter, but rather a demonstration of the transformation and conservation of matter in the natural world.

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The Jovian planets are formed from materials different from the terrestrial planets for the reason that gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

A Jovian planet, also known as a gas giant, is a huge planet that has a primarily gaseous composition. The Jovian planets include Jupiter, Saturn, Uranus, and Neptune. They are primarily made up of hydrogen and helium, and they have enormous atmospheres.Jovian planets are formed farther away from the heat of the Sun, so they are formed from lighter-weight nebulae "dust." Terrestrial planets, on the other hand, are formed nearer to the Sun, so they are formed from heavier-weight nebulae "dust." The density of the materials that make up the Jovian planets is lower than that of the terrestrial planets due to this. This means that the Jovian planets have lower densities and a greater volume than the terrestrial planets.

Hence, the correct option is d. Gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

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Answer: Don't worry I'm here to save u the answer is lithosphere (D) :D

Explanation: I have once done this question and got it right!

The information provided does not directly specify the masses of the stars A, B, and C. Mass is a critical factor that determines a star's evolution and characteristics, including its duration as a main sequence star, luminosity, and classification. The correct answer is 3.

The given information only provides details about the duration of star A as a main sequence star, the luminosity of star B being the same as the Sun, and star C being a Red Dwarf star. None of these pieces of information allows us to conclusively determine the relative masses of the stars.

To determine the mass of a star, additional data such as its spectral type, temperature, or other observational measurements would be required. Therefore, without further information, it is not possible to ascertain which star among A, B, and C has the greatest or similar mass. Hence option 3 is suitable.

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--The complete Question is, Consider the information given below about three Main-Sequence stars A, B, and C.

- Star A will be a main sequence star for 10 million years.

- Star B has the same luminosity as the Sun.

- Star C is a Red Dwarf star.

Which of the following is a true statement about these stars?

1. Stars A, B, and C all have approximately the same mass.

2.  Star C has the greatest mass.

3. There is not enough information to answer this question.

4. Star B has the greatest mass. Star A has the greatest mass. --

The object with the highest mass is the one on planet D. This is because mass is a measure of the amount of matter an object contains, and is not affected by gravity. Therefore, although the weight of the object on planet D is lower than that of the other planets, its mass remains the same.

Weight, on the other hand, is a measure of the gravitational force acting on an object. Therefore, the weight of an object will vary on different planets due to different gravitational forces. As shown in the drawings, the object on planet A has the greatest weight, but nevertheless the greatest mass.

In summary, the object with the greatest mass is on planet D, while the object with the greatest weight is on planet A.

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The concept of the pendulum is used in pendulum clocks to keep time. The pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity.

This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face.The mechanism of a pendulum clock is such that when the pendulum swings in one direction, it pushes a toothed wheel or gear, which in turn moves the other gears, causing the clock's hands to move forward.

When the pendulum swings back in the opposite direction, it again pushes the gear, causing the hands to move further forward. This cycle continues, with each swing of the pendulum causing the hands to move forward by a set amount. The length of the pendulum determines the rate at which the hands move forward, with longer pendulums causing the hands to move more slowly.

In a pendulum clock, the pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity. This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face. The pendulum clock is an improvement on the original verge escapement clocks, which were prone to errors due to the uneven force of the mainspring.The pendulum is a simple yet effective device that can keep accurate time. Its motion is governed by the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.

When the pendulum is pulled to one side and released, it swings back and forth, converting potential energy into kinetic energy and back again. The period of the pendulum, or the time it takes to complete one full swing, is determined by the length of the pendulum and the force of gravity. By adjusting the length of the pendulum, the rate at which it swings can be altered, allowing it to keep accurate time.

To keep the pendulum clock running accurately, it needs to be adjusted periodically. This is done by altering the length of the pendulum, either by moving a weight up or down along the pendulum rod or by turning a screw at the bottom of the pendulum bob. This alters the period of the pendulum, which in turn changes the rate at which the clock runs.

The pendulum clock is a testament to the ingenuity of humanity. By using the simple yet effective concept of the pendulum, clockmakers were able to create accurate timepieces that revolutionized the way we keep time. Today, the pendulum clock may have been superseded by more advanced technologies, but its legacy lives on in the modern clocks and watches we use every day.

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The total degeneracy of a quantum state is the number of different ways that state can be realized in terms of the values of the quantum numbers.

In this case, the particle is in a 3-D cube with quantum numbers nx = 4, ny = 3, and nz = 2, and the wave function is given by ψ"-M".

The quantum number M refers to the z-component of the particle's angular momentum, which is given by:

M = mℏ

where m is an integer that can range from -j to +j, where j is the total angular momentum quantum number. In this case, we are not given the value of j, so we cannot determine the total degeneracy based on the angular momentum quantum number alone.

However, we can determine the degeneracy associated with each of the quantum numbers nx, ny, and nz. The degeneracy of a given quantum number corresponds to the number of possible values that quantum number can take on. In this case, the quantum numbers nx, ny, and nz can take on values of 1, 2, 3, 4, corresponding to the dimensions of the cube in the x, y, and z directions.

The degeneracy associated with each quantum number is therefore:

deg(nx) = 4

deg(ny) = 3

deg(nz) = 2

The total degeneracy of the system is given by the product of the individual degeneracies:

deg_total = deg(nx) * deg(ny) * deg(nz) = 4 * 3 * 2 = 24

Therefore, the total degeneracy of the system is 24. This means there are 24 different possible quantum states that can correspond to the values of nx = 4, ny = 3, and nz = 2.

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In part (b), the filling process is unable to meet the tolerance limits 99.7% of the time, and it does not achieve Six Sigma quality levels.

a. To calculate the process capability ratio (Cp) in part (a), we use the formula:

Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

Given:

Mean = 64 ounces

Standard Deviation = 8 ounces

Upper Specification Limit = 71 ounces

Lower Specification Limit = 57 ounces

Cp = (71 - 57) / (6 * 8) = 14 / 48 = 0.2917 (rounded to four decimal places)

To determine the standard deviation required for the process to meet the tolerance limits 99.7% of the time, we use the Z-score corresponding to a 99.7% confidence level, which is approximately 3.

Z = (Upper Specification Limit - Mean) / Standard Deviation

Rearranging the formula, we can solve for the standard deviation:

Standard Deviation = (Upper Specification Limit - Mean) / Z

Standard Deviation = (71 - 64) / 3 = 7 / 3 = 2.3333 (rounded to four decimal places)

b. In part (b), with the improved process having a standard deviation of 1.5 ounces, we can recalculate the process capability ratio using the same formula:

Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

Using the same specification limits as before:

Cp = (71 - 57) / (6 * 1.5) = 14 / 9 = 1.5556 (rounded to four decimal places)

To determine if the filling process is able to meet the tolerance limits 99.7% of the time, we compare the new Cp value to the critical value of 2. Since Cp is less than 2, the process does not provide Six Sigma quality levels.

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Answer:

Decreases

Explanation:

The friction is acting against the movement of the object, causing the object to slow down.

Answer:

the correct answer is D

Explanation:

It takes approximately 4.59 seconds for the car to come to a stop. the car's initial speed was approximately 110.2 ft/s,

To determine the time it takes for the car to stop and the car's initial speed, we can use the kinematic equation:

v² = u² + 2as

where:

v is the final velocity (0 ft/s, since the car comes to a stop),

u is the initial velocity (unknown),

a is the acceleration (-24.0 ft/s², as the car slows down),

and s is the distance traveled (253 ft).

Plugging in the known values into the equation, we can solve for u:

0² = u² + 2(-24.0 ft/s²)(253 ft)

0 = u² - 48.0 ft/s² * 253 ft

48.0 ft/s² * 253 ft = u²

u² = 12144 ft²/s²

Taking the square root of both sides:

u = √12144 ft/s

u ≈ 110.2 ft/s

So, the car's initial speed was approximately 110.2 ft/s.

Now, to find the time it takes for the car to stop, we can use the equation:

v = u + at

0 = 110.2 ft/s + (-24.0 ft/s²) * t

24.0 ft/s² * t = 110.2 ft/s

t = 110.2 ft/s / 24.0 ft/s²

t ≈ 4.59 s

Therefore, it takes approximately 4.59 seconds for the car to come to a stop.

In summary, the car's initial speed was approximately 110.2 ft/s, and it took approximately 4.59 seconds for the car to come to a stop while skidding a distance of 253 ft.

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Answer:

Thermal energy is transferred from the warm object to the coolant in the refrigerator; coolant is compressed and the coolant's temperature rises (work is done on the coolant); thermal energy is transferred from the warm coolant to the outside air; the coolant expands as it passes through the expansion valve and cools.

Explanation:

hope this helps

Thermal energy is transferred from the hot object to the coolant in the refrigerator where the coolant is compressed and the temperature of the coolant rises, so thermal energy is transferred from the hot coolant to the outside air, the coolant expands as it passes through the expansion valve and is cooled.

An evaporator which contains a substance called refrigerant, that evaporates, turning from liquid to gas inside the coil which is located inside the freezer or refrigerator compartment. It transfers thermal energy from the surroundings to the refrigerant molecules.

As a liquid, the refrigerant absorbs thermal energy from the cold air inside the refrigerator and turns into a gas, while as a gas, it transfers thermal energy to the warm air outside the refrigerator and turns back into a liquid.

Thus, thermal energy is transferred from the hot object to the coolant in the refrigerator where the coolant is compressed and the temperature of the coolant rises, so thermal energy is transferred from the hot coolant to the outside air, the coolant expands as it passes through the expansion valve and is cooled.

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Answer:

2. increase

3. stay the same

4. Decrease

Explanation:

(let me know if im wrong on any we learned this last year so I might be a little rusty on this subject)

The force of gravity increases with increase in the size of the Sun and with decrease in the distance between the earth and the Sun. However, it decreases with decrease in the size of the earth.

Gravity is the force of attraction that exists between two bodies separated by a given distance.

The force of gravity increases with increase in the size of the bodies as well as with a decrease in the distance of separation.

However, the force of gravity decreases with decrease in the size of the bodies as well as with a increase in the distance of separation.

Thus, for the force of gravity between the earth and the Sun;

Therefore, the force of gravity is affected by size of the bodies as well as the distance separating the bodies.

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If a motor car is traveling at a steady speed of 30m/s then the work done by the car each second against the force of air resistance is 48,000 J.

To calculate the work done by the car each second against the force of air resistance, we need to use the formula for work, which is:

work = force x distance

In this case, the distance is not given, but we know that the car is traveling at a steady speed of 30m/s. We can use this information to calculate the distance traveled in one second:

distance = speed x time
distance = 30m/s x 1s
distance = 30m

Now we can calculate the work done by the car against the force of air resistance:

work = force x distance
work = 1600N x 30m
work = 48,000 J

Therefore, the work done by the car each second against the force of air resistance is 48,000 J.

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