After earning $50 million in net income, Marshall Manufacturing distributed $15 million in dividends to their stockholders. Marshall's board of directors decided to invest the remaining $35 million back into the business. This $35 million reinvestment of profits represents ______

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 6 × 3

We have the final answer as

Hope this helps you

As heat is continuously supplied to a system, the temperature remaining constant for some time at one point could be due to a phase change occurring within the system.

During a phase change, such as solid to liquid or liquid to gas, the added heat is used to overcome the intermolecular forces holding the particles together, rather than increasing the temperature.

As a result, the temperature remains constant until the phase transition is complete. This phenomenon is known as latent heat. For example, during the melting of ice, the temperature remains at 0 degrees Celsius until all the ice has melted.

Similarly, during boiling, the temperature of the boiling liquid remains constant until all the liquid has turned into vapor.

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The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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The correct magnification produced by a plane mirror is option b. 1. A plane mirror creates a virtual image that is the same size as the object, which results in a magnification of 1.

The correct magnification produced by a plane mirror is always 1 (option b). This is because a plane mirror reflects an object without changing its size or shape, so the image produced is always the same size as the object and at the same distance behind the mirror.

                                    Therefore, the magnification is equal to 1, as there is no change in size.
The following numbers is the correct magnification produced by a plane mirror:

a. 3/2
b. 1
c. 1/2
d. 2
e. 1/4

The correct magnification produced by a plane mirror is option b. 1. A plane mirror creates a virtual image that is the same size as the object, which results in a magnification of 1..

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1.) The AMA is 2.5

2.) The VR is 5.

3.) The efficiency is 50%.

Given that the object has a weight of 250 N and the effort needed to push it up the ramp is 100 N, we can calculate the AMA as follows:

AMA = Load / Effort

AMA = 250 N / 100 N

AMA = 2.5

Therefore, the AMA is 2.5.

To calculate the VR, we need to find the distance moved by the effort and the distance moved by the load. The distance moved by the effort is the length of the ramp, which is 50 m. The distance moved by the load is the height it is raised, which is 10 m. Therefore, we have:

VR = Distance moved by effort / Distance moved by load

VR = 50 m / 10 m

VR = 5

Therefore, the VR is 5.

To calculate the efficiency, we need to find the work done by the load and the work done by the effort. The work done by the load is:

Work done by load = Load x Distance moved by load

Work done by load = 250 N x 10 m

Work done by load = 2,500 J

The work done by the effort is:

Work done by effort = Effort x Distance moved by effort

Work done by effort = 100 N x 50 m

Work done by effort = 5,000 J

Therefore, the efficiency is:

Efficiency = (Load x Distance moved by load) / (Effort x Distance moved by effort)

Efficiency = (2,500 J) / (5,000 J)

Efficiency = 0.5 or 50%

Therefore, the efficiency is 50%.

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We must use the mechanical advantage formula to determine the length of the ramp:

Output force minus Input force equals Mechanical Advantage (MA). In this instance, the input force is the force required to hoist the object in the absence of the ramp, and the output force is the weight of the object being raised up the ramp

By dividing the length of the slope by its height, you may calculate the optimal mechanical advantage of an inclined plane. The ideal mechanical advantage of a ramp, for instance, is 3 metres 1 metre, or 3 metres, if you are loading a truck that is 1 metre high utilising it.

Basic Machines' Mechanical Advantage and Efficiency Calculated. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (d) and the distance over which the effort is applied (de).

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Explanation:

a) weight = m * g = 3 x 10^6 kg   * 10 m/s^2 = 3.0 x 10^7  N

b)    Thrust - weight = 3.3 x 10^7 N  - 3.0 x 10^7 N    = 3 x 10^6 N

c)  F = ma        3. x 10^6   =   3 X 10^6  * a     solve for 'a' = 1 m/s^2

d)  weightless  (but not massless)

The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.

A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.

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The correct answer is Option(C). The proper time between two events is measured by clocks at rest in a reference frame in which the two events are separated by the distance a light signal can travel during the time interval.

The concept of proper time is a fundamental concept in special relativity. It refers to the time interval measured by an observer who is at rest relative to the events being measured. According to special relativity, the passage of time can be affected by relative motion and gravitational fields.

The proper time between two events is independent of the reference frame from which it is measured. It is a fundamental property of the events themselves. In order to measure the proper time between two events, one must use clocks that are at rest relative to the events being measured.

Option (C)  states that the two events are separated by the distance a light signal can travel during the time interval. This is the correct choice because the speed of light is a fundamental constant in special relativity and is the maximum speed at which information can propagate. Using the distance traveled by light during a time interval ensures that the measurement of proper time is consistent with the principles of special relativity.

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--The question is incomplete, the complete question is:

"The proper time between two events is measured by clocks at rest in a reference frame in which the two events:  (A). occur at the same time  (B). occur at the same coordinates  (C). are separated by the distance a light signal can travel during the time interval  (D). occur in Boston  E. satisfy none of the above"--

Answer:

11×10⁵ J

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 1000 kg

Height (h) = 110 m

Acceleration due to gravity (g) = 10 m/s²

Potential energy (PE) =?

The potential energy of the roller coaster can be obtained as follow:

PE = mgh

PE = 1000 × 10 × 110

PE = 11×10⁵ J

Therefore, potential energy of the roller coaster is 11×10⁵ J

The velocity of the ball after it hits the bottle is 15.8 m/s

Let m₁ represent the mass of the ball, m₂ the mass of the bottle, u₁ the velocity of ball before impact, u₂ the velocity of bottle before impact, v₁ the velocity of ball after impact and v₂ the velocity of bottle after impact.

Given that:

m₁ = 0.7 kg, m₂ = 0.15 kg, u₁ = 22 m/s, u₂ = 0, v₂ = 29

momentum before impact = momentum after impact, hence:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

0.7(22) + 0.15(0) = 0.7v₁ + 0.15(29)

0.7v₁ = 11.05

v₁ = 15.8 m/s

Therefore the velocity of the ball after it hits the bottle is 15.8 m/s

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Answer:

Henri’s wave and Geri’s wave have the same amplitude and the same energy

Explanation:

The amplitude of a wave is the distance between the midpoint and the trough (or the crest). This is equivalent to half the distance between the trough and the crest. Therefore:

The energy of a wave is directly proportional to its amplitude.

Answer:

its letter b

Explanation:

Answer:

 w = 4.712 10⁻³ rad / s

Explanation:

For this exercise, the time it takes for the bullet to travel the distance of 2R must be equal to the time that the hole must travel half a circle.

Let's start by calculating the time it takes for the bullet, which is going at constant speed.

         v = x / t

         t = x / v

         t = 2R / v

         t = 2 0.10 / 300

         t = 6.666 10⁻⁴ s

As they ask that a single hole is formed in this time, it must be rotated half a circle, that is, θ =π rad, for which we use the angular scientific relations, where the shell has constant angular velocity

          w = θ / t

          w = π / 6,666 10⁻⁴

          w = 4.712 10⁻³ rad / s

The cycle time of the entire line is 30.00528 minutes per part.

To calculate the cycle time of the entire line, we need to consider the processing times, failures, and repairs of both the milling machine and the turning machine.

For the milling machine:

Mean processing time (t0) = 15 mins

Standard deviation of processing time (sigma0) = 3 mins

Mean time to failure (MTTF) = 750 mins

Mean time to repair (MTTR) = 200 mins

For the turning machine:

Mean processing time (t0) = 15 mins

Standard deviation of processing time (sigma0) = 3 mins

Mean time to failure (MTTF) = 110 mins

Mean time to repair (MTTR) = 38 mins

We also know that the arrival rate to the milling machine is 1.2 parts/hr, with a coefficient of variation (CV) of 1.

To calculate the cycle time, we can use the following formula:

Cycle time = Processing time + Failure time + Repair time

Processing time:

The processing time is the sum of the mean processing times of the milling machine and the turning machine:

Processing time = t0 (milling machine) + t0 (turning machine) = 15 mins + 15 mins = 30 mins

Failure time:

The failure time is the inverse of the MTTF, considering the arrival rate:

Failure time = 1 / (MTTF * Arrival rate) = 1 / (750 mins * (1.2 parts/60 mins)) = 0.00111 parts/min

Repair time:

The repair time is the inverse of the MTTR, considering the coefficient of variation (CV):

Repair time = 1 / (MTTR * CV) = 1 / (200 mins * 1.2) = 0.00417 parts/min

Cycle time:

Cycle time = Processing time + Failure time + Repair time = 30 mins + 0.00111 parts/min + 0.00417 parts/min

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it is a process in which the structure in solution is in the form of crystal. crystallization of copper sulphate refers to the process in which copper sulphate is heated at minimum temperature.

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Increasing or decreasing the initial temperature of copper will have an impact on the final temperature based on the laws of thermodynamics. The specific effect will depend on the context and the surrounding conditions.

If we consider a scenario where a piece of copper is brought into contact with a cooler object or environment, increasing the initial temperature of the copper will result in a larger temperature difference between the copper and its surroundings. As a consequence, the copper will lose more heat energy to the surroundings, leading to a higher rate of heat transfer. This will cause the final temperature of the copper to decrease more rapidly, approaching the temperature of the surroundings.

Conversely, if the initial temperature of the copper is decreased, the temperature difference between the copper and its surroundings will be smaller. As a result, the rate of heat transfer from the copper to the surroundings will be lower. This will slow down the cooling process, and the final temperature of the copper will be higher than it would be with a higher initial temperature.

It's important to note that these observations assume that the copper is in thermal equilibrium with its surroundings and that no other factors significantly affect the heat transfer process, such as insulation or additional heat sources. The specific conditions and variables involved will ultimately determine the exact impact of changing the initial temperature of the copper on the final temperature.

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a) When an identical resistor is added in series with the first resistor and the cell, the current through the resistors will remain the same as A amps.

When an identical resistor is added in series with the first resistor and the cell, the current through the resistors will remain the same as A amps.

This is because in a series circuit, the same current flows through each component. The total resistance of the circuit increases when a resistor is added in series, but the voltage across the resistors remains the same as the voltage across the cell.

According to Ohm's law, V = IR, where V is voltage, I is current, and R is resistance.

Since the voltage is constant and the resistance has increased, the current through the resistors must remain the same to satisfy Ohm's law. Therefore, the current through the second resistor will also be A amps.

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Answer:

Explanation:

celestial day. the period of time required for one full rotation of the sky by a star here on celestial sphere. It can also be thought of as the length of time it takes for the earth to complete one rotation around the sun.

The length of time it takes is for Earth to revolve around its axis that the Sun always appears at the same location in the sky is known as a solar day. The solar day is about 4 minutes longer than the sidereal day. The relative to the sun day is the length of time it takes the Earth, in relation to the "fixed" stars, to complete a rotation around its axis.

The celestial sphere, which is a fictional sphere centered on the Earth and onto all of which celestial bodies could be projected, is utilized to describe the positions of objects in the sky. An observer just on surface of the Earth may only see 50% of celestial sphere at any given time because.

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You need the atomic mass of calcium, oxygen and carbo, the balanced chemical equation and the molar ratio between Calcium carbonate and calcium oxide.

1. If you know the atomic mass of the elements, you can calculate the molar mass of Calcium Carbonate (CaCO3) and the mass of Calcium Oxide (CaO).

2. The balanced equation is CaCO3 -> CaO + CO2

3. The molar ratio between CaCO3 and CaO is 1:1, which means that the descomposing of one mole of calcium carbonate produce one mole of calcium oxide.

4- The last thing you should do is to conver the 4.7 kg of CaCO3 to moles and with the molar ratio calculate the mass of CaO

Explanation:

Any confusions you may ask!

Answer:

Hold the balloon (negatively charged) just above your head so your hair (positively charged) will be attracted to it and stand up on end. ... The can will start to roll towards the balloon without touching it. The negatively charged balloon repels the electrons of the can so that a positive charge is near the balloon.

Explanation:

I gave my explanation along with the answer.

Answer:

Atomic particle.

Explanation:

It is used to calculate mass at atom level .

1 amu is the mass of 1 atom of C12 carbon

Answer:

62410 J

Explanation:

Kinetic Energy in Joules is given by the equation

\(KE = \dfrac{1}{2}mv^2\\\\\)

where

m = mass of the object in kg

v = velocity in m/s

Given m = 2000 kg and v = 7.9 m.s

KE = (1/2) x 2000 x (7.9)²

= 62,410 J or 62.41 KJ

To determine the mass of the roller coaster, we can use the equation that relates potential energy (PE), mass (m), and height (h) given by:

PE = mgh

where g is the acceleration due to gravity, approximately 9.8 m/s².

Given:

Potential energy (PE) = 235,200 J

Height (h) = 30 m

Acceleration due to gravity (g) = 9.8 m/s²

Substituting the values into the equation, we have:

235,200 J = m * 9.8 m/s² * 30 m

To solve for the mass (m), we rearrange the equation:

m = 235,200 J / (9.8 m/s² * 30 m)

m ≈ 800 kg

Therefore, the mass of the roller coaster is approximately 800 kg.

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Answer:

v = 37.59 km/h

Explanation:

The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".

Distance, d = 100 m = 0.1 km

Time, t = 9.58 s = 0.00266 h

We need to find the speed of the Usain Bolt. We know that,

Speed = distance/time

So,

\(v=\dfrac{0.1}{0.00266}\\\\v=37.59\ km/h\)

So, the required speed is equal to 37.59 km/h.

There would be no change as the wave speed would be 1. Option B

According to the wave equation for a string, the wave speed (v) is given by the equation:

v = √(T/μ)

Tripling both the tension in a guitar string and its mass per unit length;

T₂ = 3T₁ (tripling the tension)

μ₂ = 3μ₁ (tripling the mass per unit length)

We have for  the wave speed

v₂ = √(T₂/μ₂)

= √((3T₁)/(3μ₁))

= √(T₁/μ₁)

= v₁

We can see that based on the calculations that we have done in the problems. It is plane that there is no change in the wave speed.

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Answer:

Explanation:

0 m/s^2 is the answer

Answer:

Zero

Explanation:

Constant speed involves zero acceleration  ( which is a change in speed)

The frequency of the weight's motion is 2 Hz, the period is 0.5 seconds, and the amplitude is 12 cm.

The frequency of the weight's motion is the number of complete cycles or oscillations it undergoes per unit of time. In this case, the weight bobs up and down twice each second, so its frequency is 2 Hz.

The period of the weight's motion is the time it takes for one complete cycle or oscillation. Since the weight bobs up and down twice each second, the time for one complete cycle is 1/2 second, or 0.5 seconds.

The amplitude of the weight's motion is the maximum distance it moves from its equilibrium position. In this case, the weight is seen to bob up and down over a distance of 24 cm.

Since the weight oscillates symmetrically around its equilibrium position, the amplitude is half of this distance, which is 12 cm.

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1. The energy of an ideal gas of distinguishable particles does not change when the volume is compressed at constant temperature and particle number. According to the first law of thermodynamics, energy is conserved in a closed system.

2. The entropy of an ideal gas of distinguishable particles increases when the volume is compressed at constant temperature and particle number. Entropy is a measure of the system's disorder or the number of microstates it can occupy. By reducing the volume, the number of available microstates decreases, leading to an increase in entropy.

3. The entropy of an isolated system with fixed volume, particle number, and energy remains constant. In an isolated system, where there is no exchange of energy or particles with the surroundings, the entropy remains constant over time. This is known as the microcanonical ensemble or the fixed-energy ensemble.

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