a steam iron draws 5 a from a 120 v line. how much internal energy is produced in 53 min? Answer in units of J.
1b.
How much does it cost at $0.85/kW·h to run the steam iron for 49 min?
Answer in units of cents.

Answers

Answer 1

The internal energy produced by the steam iron is 19,740 J. It costs 10.7 cents to run for 49 min at $0.85/kW·h.

To calculate the internal energy produced by the steam iron, we can use the formula P = IV, where P is power, I is current, and V is voltage.

In this case, P = 5 A x 120 V = 600 W.

We can then use the formula E = Pt, where E is energy, P is power, and t is time.

Plugging in the values, we get E = 600 W x 53 min x 60 s/min = 19,740 J.
To calculate the cost of running the steam iron, we need to first calculate the energy consumed.

We can use the formula E = Pt, where P is in kW, and t is in hours.

In this case, P = 0.6 kW, and t = 49 min / 60 min/hour = 0.817 hours.

Plugging in the values, we get E = 0.6 kW x 0.817 hours = 0.49 kW·h.

Finally, we can calculate the cost by multiplying the energy by the cost per kW·h: 0.49 kW·h x $0.85/kW·h = $0.42.

This is equal to 10.7 cents.

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Related Questions

How can a protective device minimize the magnitude of the net
force acting on an egg in a cart during a collision?

Answers

This reduces the force of the impact on the egg, limiting the amount of damage it receives.

What is force ?

Force is an influence that can cause a change in the motion, direction, or shape of an object. It is a vector quantity, meaning it has both magnitude and direction. Forces are a result of interactions between objects, and can either be a push or a pull.

Force can cause an object to accelerate, decelerate, or remain in its current state of motion. Examples of forces include gravity, friction, electromagnetism, and the normal force. Force is measured in units of Newtons (N).

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A car accelerates uniformly from rest and reaches a speed of 21.4 m/s in 5.1 s. The diameter of a tire is 38.2 cm. Find the number of revolutions the tire makes during this motion, assuming no slipping

Answers

To find the number of revolutions the tire makes during this motion, we need to calculate the distance traveled by the tire and divide it by the diameter of the tire.

First, we need to find the distance traveled. This can be calculated using the formula:

distance = (initial velocity + final velocity)/2 * time = (0 + 21.4 m/s)/2 * 5.1s = 110.7m

Next, we need to convert the diameter of the tire from cm to m.

diameter = 38.2 cm / 100 cm/m = 0.382 m

Now we can calculate the number of revolutions by dividing the distance traveled by the diameter of the tire:

revolutions = distance / diameter = 110.7m / 0.382 m = 290.64

Therefore, the tire makes 290.64 revolutions during this motion

Note that it is assuming that the tire is not slipping. When the tire is slipping, this result can be different.

Which of the following best defines the scientific methodA. It is a way of allowing people to make assumptions about the world.B. It is a system of that only scientist can use inside the laboratory.C. It is a series of organized steps that one can use to answer a question or solve a problem.D. It is a process through which scientist can turn their observations into facts

Answers

Answer: The correct answer is C. It is a series of organized steps that one can use to answer a question or solve a problem

Explanation: The scientific method is a system of gathering and analyzing data that is used to answer questions and form theories. It includes steps such as formulating hypotheses, conducting experiments, collecting data, analyzing data, and forming conclusions. It is a useful tool for scientists to investigate and understand the world around them.

5. A bullet accelerates at 5.8 x 10 m/s from rest as it travels the 0.80 m of the
rifle barrel.
a
How long was the bullet in the barrel?
b. What velocity does the bullet have as it leaves the barrel?

Answers

Answer:

Below

Explanation:

d = 1/2 a t^2

.80 = 1/2 ( 5.8 x 10^?) t^2  

  ( I think you left off the exponent...and acceleration has units m/s^2  ...not m/s)

t =  .166 s

v = at = 58 x .166= 9.63 m/s

What is difference between EV and HEV PHEV?

Answers

EVs lack an internal combustion engine, also confusingly referred to as BEVs (battery electric vehicles), which transform gasoline into propulsion power.

Instead, they only use the power from one or more sizable batteries to operate. When it comes to EVs, hybrids were the first significant market entrant, especially after the Prius' international launch in the early 2000s. These cars mastered the technique of alternating between an internal combustion engine and an electric motor to increase fuel efficiency. A plug-in hybrid electric vehicle (PHEV) is designed to run on both gas and battery power and is essentially a hybrid of an EV and an HEV. The main distinction is that they are more EV-like because the power is provided via plug-in chargers.

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Define compressibility. Write it's SI unit

Answers

In engineering field and the Physics of elasticity, compressibility is the inverse of bulk modulus

What is Compressibility ?

Compressibility in a lay man language can be refer to the application of pressure on an object in order to reduce the size of the object.

But in the field of engineering, compressibility can simply be define as a reciprocal of bulk modulus of an elastic material.

Bulk Modulus = Force / Area in which the S.I unit will be N/m²

Since compressibility is the inverse of bulk modulus, its S.I unit will be reciprocal of the bulk modulus unit. That is,

m²/N which is also known as Byjus

Therefore, the S.I unit of compressibility is Byjus

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Use the concepts of work and energy to solve the following: You are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?

Answers

Work is equal to energy. Since your braking distance is 10.8 m. you will not stop before you hit the oil spill

What is Energy ?

Energy is the ability to do work. The work done on an object is tantamount to energy used on the object.

If you are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?

By using the concepts of work and energy, that is,

1/2mv² = F × s

Where

m = 5 kgv = 5.5 m/sF = 7 Ns = ?

Substitute all the parameters into the formula

1/2 × 5 × 5.5² = 7 × s

75.625 = 7s

s = 75.625/7

s = 10.8 m

Since the calculated distance is greater than the given distance (10 m), you will not stop before you hit the oil spill. And your braking distance will be 10.8 m

Therefore,  you will not stop before you hit the oil spill.

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Compare the amplitude of these waves. (2 points)
A
B
C
D
E
Amplitude cannot be determined for waves
Amplitude is roughly the same for all 5 waves
Amplitude is decreasing from A to E
Amplitude is increasing from A to E

Answers

D) Amplitude is increasing from A to E. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. As we move from wave A to wave E, the maximum displacement of the wave increases, indicating that the amplitude is increasing.

What is equilibrium position?

Equilibrium position is a state of balance in which the forces acting on an object are equal and opposite, resulting in no net force and no acceleration. This means that the object is not moving and is in a stable position. In physics, equilibrium is a state of balance between two or more forces, such as gravity, friction, and tension. When an object is in equilibrium, the sum of all forces acting on it is zero. Examples of equilibrium positions include a book resting on a table, a ball suspended in mid-air, and a person standing still.

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A force of 57. 1 newtons is applied for 0. 977 meters; what work was done on the object?.

Answers

Answer:

55.8 J

Explanation:

W = Fd = (57.1 N)(0.977 m) = 55.8 J

a stone tumbles into a mine shaft and strikes bottom after falling for 4.2 seconds. how deep is the mine shaft

Answers

The mine shaft has been found to be exactly about 84 m deep.

How deep is it?

Let us know that in this case, we have to look at the equation of the motion that is taking place under gravity. This is because, we we can see, the shaft that we have would appear to have been falling freely under the influence of the force of gravity.

We have;

h = ut + 1/2gt^2

h = height

u = initial velocity

g = acceleration due to gravity

t = time taken

Given that u = 0 m/s

h = 1/2gt^2

h = 0.5 * 9.8 * 4.2^2

h = 84 m

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The acceleration y, in meters per second squared, of an object after x seconds is given by y =. During the first 10 seconds, over which intervals is the acceleration increasing? (2, 6) (4, 8) (0, 2) and (6, 10) (0, 4) and (8, 10).

Answers

At interval (0, 2) and (6, 10),  the acceleration will be increasing.

Acceleration is the rate of change of velocity with respect to time.

Also it can be defined as the maximum capacity of a vehicle to gain speed.Its SI unit is m/sec².It can be calculated by using the three equations of motion.

The acceleration is given by y = 7*sin( x*[tex]\pi[/tex]/4).

to find at which interval the acceleration is increasing,

First, let's study about the sin function:

Sin(θ) increases between -[tex]\pi[/tex]/2 and [tex]\pi[/tex]/2

Sin(θ) decreases between [tex]\pi[/tex]/2 and (3/2)*[tex]\pi[/tex].

Here we have:

θ = x*([tex]\pi[/tex]/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = [tex]\pi[/tex]/2 = x*([tex]\pi[/tex]/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*[tex]\pi[/tex] = x*([tex]\pi[/tex]/4)

(3/2)*[tex]\pi[/tex]*(4/[tex]\pi[/tex]) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only defined until x = 10,

Therefore

the correct option is: (0, 2) and (6, 10)

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A child of mass 40kg jumps off a wall and hits the ground at 4m\s.he bends his knees and stops in 1s.calculate the force required to slow him down.how would this force be different if he didn't bend his knees and stopped in 0.1s?

Answers

Answer:

F

=

m

Δ

v

t

force = mass * change in velocity / time

at

1

s:

mass:

40

kg

change in velocity (taking downwards as a positive direction):

4

m/s to rest

=

4

0

=

4

m/s

time:

1

s

m

Δ

v

t

=

160

1

=

160

force applied

=

160

N

at

0.1

s:

m

Δ

v

t

=

160

0.1

=

1600

force applied =

1600

N

Dave and Amy are having a cup of tea. Amy suggests blowing on the tea to cool it down. Dave doesn't think this will work. Who is right?

Answers

Amy is right in saying that blowing the tea will cool it down.

How does blowing on tea help to cool it down?

When you blow on a hot liquid, such as tea, the air you blow over the surface of the liquid carries away some of the heat energy from the liquid. This causes the liquid to cool down. The cooling effect is greater the greater the difference in temperature between the liquid and the air.

Blowing on a hot object cools it down by increasing the rate of heat transfer from the object to the surrounding air. Heat is transferred from a hotter object to a cooler one through conduction, convection, and radiation. When you blow on a hot object, the air you blow over the surface of the object carries away some of the heat energy from the object through the process of convection.

So, blowing on the tea will help cool it down faster which means Amy is correct in suggesting that blowing on the tea can help cool it down.

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Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased? B I U Score: 0/2 5. Increase the number of loops in the coil to

Answers

When the number of loops in the coil are decreased then the  magnetic field of that solenoid will also decrease as magnetic field  is directly proportional to the no of loops or current.

What is  solenoid ?An electromagnet referred as a solenoid which creates a regulated magnetic field   using a helical coil of wire whose length is significantly higher than its diameter.When an electric current is run through the coil, it can create a consistent magnetic field inside a defined region of space. Which is given by B=μ0nICoil:

An electromagnetic coil is a coil-shaped electrical conductor, such as a wire (spiral or helix). In electrical engineering, magnetic coils are utilized in things like electric motors, generators, inductors, electromagnets, transformers, and sensor coils, where electric currents and magnetic fields interact.

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The complete question is:

Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased?

B I U Score: 0/2 5. Increase the number of loops in the coil to solenoid?

15. Go back and click on Transition Metals (left bar) and answer these questions. a. How many elements are in this group? _____________ b. What are the group numbers? ___________ through ___________ c. Name the three elements in this family that produce a magnetic field. ________________________, _________________________, and __________________________.

Answers

The answers include the following below:

There are 38 elements which are in this group of transition metals.The elements in groups 3-12 are called the transition metals.The three elements in this family that produce a magnetic field are Iron, cobalt and nickel.

What is a Transition metal?

These are elements that have partially filled d orbitals and occupy a central block in the periodic table.They have high melting points and boiling points and are good conductors of heat and electricity.

There are thirty eight elements in this group and only three is able to produce a magnetic field and they include iron, nickel and cobalt.

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Please show your complete solution of these questions.
(THOSE WHO ANSWERED WITH COMPLETE STEPS WILL BE MARKED AS BRAINLIST)

Answers

If energy costs 10 cents per kWh, it will cost Rs. 30 to heat a tank of water for 80 minutes using a 3000 W immersion heater.

Cost of electricity:

Hours Used Per Day: Indicate the average number of hours per day that the device is used. If the daily power usage is less than one hour, enter the number as a decimal. (For instance, 30 minutes a day equals 0.5)

Your home's water is heated by a water heater so that you can have hot water for your everyday needs. Modern, more efficient kinds of electric water heaters may only need to operate for two hours every day instead of the standard three hours. Around 4000 watts are typically required for a water heater.

Cost Per Hour: (3000*100*60)/(80*3600)

Cost Per Hour: 30.

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Correct Question:

Calculate the cost of heating a tank of water with a 3000 W immersion heater for 80 minutes if electricity costs 10 cents per kWh.

Does anyone know what car model this is? i needa answer asap please help. It was in a IIHS car crash test i think. need this question done for physics.

Answers

Answer:

Lincoln town car (luxury Ford car)

used commonly for taxi/limos

like around 1995

edmunds

A cook holds a 2.00 kg carton of milk at arms length. What force must exerted by biceps muscle? ( ignore the weight of the forearm).

Answers

The force exerted by the biceps muscle would be equal to the weight of the carton of milk, which is 2.00 kg or 19.6 Newtons of force.

What is the force?

Force is an action that can cause an object to move, stop, or change its direction or shape. It is defined as a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, like pushing or pulling, or forces at a distance, such as gravity, electricity, or magnetism.

Assuming the arm is straight out from the body and the length of the arm is 30 cm, the force exerted by the biceps muscle would be approximately 20 Newtons.

In this case, the force is equal to the weight of the carton of milk (2.00 kg) multiplied by the acceleration due to gravity (9.8 m/s2). This gives a force of 19.6 Newtons. Multiplying this force by the length of the arm (30 cm) gives a torque of 588 Nm.

Assuming the biceps muscle can generate a maximum torque of 600 Nm, the force it must exert to hold the carton of milk at arm's length would be 19.6 N x (600 Nm / 588 Nm) = 20 N.

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A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 100 points lol].

Answers

The minimum value of the coefficient of static friction is 0.87.

What is the minimum value of the coefficient of static friction?

The minimum value of the coefficient of static friction is calculated by applying the formula for Newton's second law of motion as shown below.

Mathematically, the formula for Newton's second law of motion is given as;

F (net) = ma

Wsin (θ) - μW cos (θ) = ma

Where;

W is the weight of the blockθ is the angle of inclination of the blockm is the mass of the blocka is the acceleration of the blockμ is the coefficient of friction

Wsin (θ) - μW cos (θ) = ma

mgsin (θ) - μmg cos (θ) = ma

gsin (θ) - μg cos (θ) = a

If the block is stationary, then acceleration of the block = 0

gsin (θ) - μg cos (θ) = 0

μgcos (θ) = gsin (θ)

μ =  gsin (θ) / gcos (θ)

μ =  sin (θ) / cos (θ)

μ =  tan (θ)

The minimum value of the coefficient of static friction is calculated as;

μ =  tan (41)

μ =  0.87

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Ahmed is making jelly. He needs the jelly to set in time for his party. He has two dishes that he can use to cool the jelly in. Dish A has a width of 30cm and a length of 45cm. Dish B has a width of 15cm and a length of 40cm. To get his jelly cooled faster which dish should Ahmed use?

Answers

Ahmed should use Dish A because it has greater exposed surface area than Dish B, hence the hot water vapour from the jelly will evaporate faster and the jelly will cool faster.

What is evaporation?

Evaporation is the process through which water gains heat and escape from the liquid surface in form of vapour.

There are three basic factors that affects the rate of evaporation, and they include;

exposed surface area of the containertemperaturewind

The greater the exposed surface area of the container, the greater the rate of evaporation.

The exposed surface area of Dish A is calculated as;

A = 30 cm x 45 cm

A = 1,350 cm²

The exposed surface area of Dish B is calculated as;

B = 15 cm x 40 cm

B = 600 cm²

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Determine the acceleration of a soccer ball if a footballer may strike a ball of mass 500g with a force of 200 N

Answers

The acceleration of the soccer ball is determined as 400 m/s².

What is the acceleration of the soccer ball?

The acceleration of the soccer ball is calculated by applying Newton's second law of motion as follows;

Mathematically, the formula for Newton's second law of motion is given as;

F = ma

where;

m is the mass of the object in kga is the acceleration of the object is m/s²

The acceleration of the soccer ball is calculated as;

a = ( F ) / ( m )

a = ( 200 N ) / ( 0.5 kg )

a = 400 m/s²

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An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit
a. Does not change.
b. Decreases.
c. Increases.

Answers

An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit decreases. The correct answer is b.

An inductor is a passive component that stores energy in a magnetic field when electric current flows through it. In a series circuit, the current flows through both the inductor and the resistor. When the inductance of the inductor increases, the opposition to the current flowing through it also increases, known as inductive reactance. This results in a decrease in the current flowing through the circuit, as more energy is being stored in the magnetic field of the inductor and less is available to flow through the resistor.

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An inactive student wants to become more physically active but does not think he has the time. What is the most effective thing he can do to start making physical fitness a priority?

Answers

The most effective way for an inactive student to become more physically active is to make a schedule and stick to it. This can involve setting aside specific times for exercise each day.

How can one be physically active?

Starting with small goals and gradually increasing the duration and intensity of their physical activity can also be helpful. Including physical activity into their daily routine like taking the stairs instead of the elevator or going for a walk during lunch, can make it easier to fit exercise into their busy schedule.

Why is physical fitness important?

Physical fitness is important for a number of reasons like improved Health, better mental health, increased energy, improved sleep and better brain functioning.

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In trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. In trial 2, the setup is identical except that the carts stick together during the collision. How does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?answer choicesTrial 1: Does not changeTrial 2: Does not changeTrial 1: Does not changeTrial 2: DecreasesTrial 1: DecreasesTrial 2: Does not changeTrial 1: DecreasesTrial 2: Decreases

Answers

The speed of the two-cart system’s center of mass during the collision in Trial 1: Does not change, and in Trial 2: Decreases.

In Trial 1 of the experiment, the carts collide elastically and the speed of the two-cart system's center of mass does not change during the collision. In Trial 2, the carts stick together and the collision is inelastic. Some of the kinetic energy is converted into internal energy, resulting in a decrease in kinetic energy and the speed of the center of mass. In conclusion, the speed of the center of mass does not change during the collision in Trial 1, but, decreases in Trial 2 as a result of a decrease in the kinetic energy.

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Two negatively charged objects exert a force on each other. Describe the force between the objects, and describe two ways to increase the force between them.

Answers

Answer:

is a

Explanation:

A man drag a 10. 0 kg bag of mulch at a contant peed applying a 22. 5 N force at a 32-degree angle. What i the friction force acting on the bag?

Answers

The friction force acting on the bag is 19.1 N. The result is obtained by using Newton's first law.

What is Newton's first law?

Newton's first law states that every object will remain at rest or keep constantly moving in a straight line unless an external force acts upon it.

The equation of Newton's first law can be expressed as

∑F = 0

Where ∑F is net force.

A man drag a bag of mulch at a constant speed.

The given parameters are

m = 10.00 kgF = 22.5 Nθ = 32°

Find the friction force (fs) acting the bag!

See the illustration picture in the attachment!

We calculate the parallel forces to find fs.

The mulch is moving at a constant speed. It means that the net force is zero.

∑F = 0

F cos θ - fs = 0

F cos θ = fs

fs = 22.5 × cos 32°

fs = 22.5 × 0.85

fs = 19.1 N

Hence, the friction force is 19.1 N.

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How do you find the magnitude of the electric field at the origin?

Answers

In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.

To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.

Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.

To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.

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Which of the following is a disadvantage of renewable energy?a) High pollutionb) Available only in few placesc) High running costd) Unreliable supply

Answers

Answer:

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1. What is the total energy of all of the particles?
in an object called?
A. chemical energy
B. thermal energy
C. potential energy
D. nuclear energy

Answers

Answer is Potential energy

Explain why an 80,000 pound big rig traveling 2 mph has the same momentum as a 4,000 pound sport utility vehicle (suv) traveling 40 mph.

Answers

Answer:

Below

Explanation:

Momentum = m * v

80 000 *2   =  4000 *40

160 000     =   160 000          they have the same momentum

Other Questions
What is the last phase of the Calvin cycle called? Producers are organisms that obtain their energy from sunlight. Consumers obtain their energy from eating food. This food may be producers, other consumers, or both. Decomposers obtain their energy from the breakdown of decaying matter. Students are asked to make a table classifying four organisms as producer, consumer, or decomposer. Which student filled out the table correctly?. During the tang and ong dynatie where did people tay a they traveled along the road and canal Emily has fourteen paintings in her art gallery right now. She creates one painting every month to add to her collection.Define a unit for the amount of time Emily paints.To improve her skills, Emily is taking a nine-month class at a local art school. How many paintings will Emily have after she completes the class?How many paintings will Emily have after five months?After six months, Emily will show her art gallery to her friends and family. How many paintings will be in Emily's collection?Enter a variable for the amount of time Emily paints and use this variable to write an expression for the number of paintings. . What does "cogent" mean?What are the necessary components of an argument?What are the characteristics of an argument that is "cogent"?What makes a "cogent argument"? What kind of economy was developed in the south? What is the difference between marginal costs and difference? Literary ElementAuthorCharactersSettingEventsDifferencesJeffrey ArcherSimilaritiesN/ADifferencesW. Somerset Maugham Classify this pair of events: A flavor of ice cream is selected at random Atopping for the ice cream is selected at random.A. independentB. dependent Completa la oracin con el adverbio correcto formado del adjetivo destacado en la frase o colocado al final de la frase. Algunos ritmos son muy deliberados y se debe bailar a ellos Which type of soil would likely drain water the fastest? TRUE/FALSE. the heat capacity is typically ignored when deriving boundary conditions for the thermal energy equation 8+5x=-2show workcheck Thomas family also runs a gourmet food store that sells two main products: Premium Caviar and Goose Foie Gras. They import the Premium Caviar from Russia, and purchase Goose Foie Gras from Upstate New York. The two products are sold in boxes. Thomas gathers the following information: Premium Caviar Goose Foie Gras TotalsUnits 4,000 12,000 16,000Revenue $100,000 $180,000 $280,000Variable costs 56,000 105,000 161,000Fixed costs 20,000 40,000 60,000Profit $ 24,000 $ 35,000 $ 59,000Selling price per unit $25.00 $15.00Contribution margin per unit $11.00 $6.25Profit margin per unit $6.00 $2.92When Thomas took accounting courses at college, he knows how to do cost-volume-profit analysis pretty well. However, he just remembers how to do the analysis for those companies with only one product. Therefore, he needs your help to calculate the following:a. What is the business weighted-average contribution margin per unit? (show your computation)b. Calculate the business break-even point in units assuming the current sales mix. (show your computation)c. What will be the number of Premium Caviar and Goose Foie Gras boxes at the break-even level of sales? (show your computation)d. What is the business weighted average contribution margin ratio? (show your computation)e. What level of sales (in dollars) will be needed to earn a profit of $64,950 assuming the current sales mix? (show your computation)f. What will be the sales (in dollars) of Premium Caviar and Goose Foie Gras boxes for the business total sales calculated in Part e? (show your computation) Two brothers, Kevin and Charles, each inherit $11000. Kevin invests his inheritance in a savings account with an annual return of 2.6%, while Charles invests his inheritance in a CD paying 4.3% annually. How much more money than Kevin does Charles have after 1 year? Emanuel was charged $ 32 $32dollar sign, 32 for a 14 2 9 km 14 9 2 km14, start fraction, 2, divided by, 9, end fraction, start text, space, k, m, end text taxi ride. The cost per kilometer is constant. do -3 and 4 and -1 and 12 have a positive sum 3x - 2(-4x + 5 please your work! Question 4 of 10Write the solution of the inequality in set-builder notation: How many moles of silver bromide will be produced from 26.7 moles of sodiumbromide?