ay wants to buy a new fireplace insert that will burn gas instead of wood. She normally uses two cords of wood in the winter. Wood costs $250/cord. She is interested in knowing how much she will save if she burns gas in the fireplace insert. Gas costs $0.91 per therm. One therm is 100,000 BTU. The fireplace insert burns 33,000 BTU per hour. Kay figures she will burn the fireplace 5 hours per day for 120 days. How much will she save in one winter if she burns gas instead of wood

Answers

Answer 1

Answer:

Saved Money = $ 319.82

Explanation:

First, we will calculate the cost of wood:

[tex]Wood\ Cost = (No.\ of\ Cords)(Unit\ Cost)\\Wood\ Cost = (2 cords)(\$ 250/cord)\\Wood\ Cost = \$ 500\\[/tex]

Now, we calculate the time to burn gas:

[tex]Time\ to\ burn\ gas = (5\ hours/day)(120\ days)\\Time\ to\ burn\ gas = 600\ hr\\[/tex]

Now, we calculate the energy:

[tex]Energy\ Required = (600\ hr)(33000\ BTU/hr)(\frac{1\ therm}{100000\ BTU})\\\\Energy\ Required = 198\ therm\\[/tex]

Now, we will calculate the cost of gas:

[tex]Gas\ Cost = (Energy\ Required)(Unit\ Cost)\\Gas\ Cost = (198\ therm)(\$\ 0.91/therm)\\Gas\ Cost = \$\ 180.18\\[/tex]

Now, we will calculate the amount of money saved:

[tex]Saved\ Money = Wood\ Cost - Gas\ Cost\\Saved\ Money = \$\ 500 - \$\ 180.18\\[/tex]

Saved Money = $ 319.82


Related Questions


What is the acceleration of a car that goes from Om/s to 60m/s in 6 seconds?

Answers

10m/s !!!!!!!!!!!!!!!!!!!!!!!

That’s 10x6 which = 60 so yeah

Which resistors in the circuit are connected in series?
A. A and D
B. A and B
C. Cand D
D. B and C

Answers

Answer:

b and c

Explanation:

you had it correct :)

Answer:

It's C and D.

Explanation:

Consider two cylinders that start down identical inclines from rest except that one is frictionless. Thus one cylinder rolls without slipping, while the other slides frictionlessly without rolling. They both travel a short distance at the bottom and then start up another incline. (a) Show that they both reach the same height on the other incline, and that this height is equal to their original height. (b) Find the ratio of the time the rolling cylinder takes to reach the height on the second incline to the time the sliding cylinder takes to reach the height on the second incline. (c) Explain why the time for the rolling motion is greater than that for the sliding motion.

Answers

Answer:

a)  m*g*hi = m*g*hf [tex]_{f}[/tex]

         h[tex]_{i}[/tex] = h

b)  ratio = 1.22

c) the potential energy is converted to both rotational kinetic energy and translational kinetic energy

Explanation:

For a frictionless system : initial energy = final energy

i.e. Ei = Ef

a) Prove

Total Initial energy for First cylinder ( Ei ) = m*g*hi      

The final energy of the first cylinder ( Ef ) = m*g*hf

and this energies are purely potential energies

According to conservation of energy :

m*g*hi = m*g*hf

         hi = hf   ( and this holds for both cylinders because they where both kept at the same height initially  )

i.e. initial height = final height ( hence it is proved that both cylinders will reach their initial heights )

b) Determine the ratio of the time taken by both cylinders

lets assume height of incline ( h ) = Lsin[tex]\beta[/tex]

where L = distance covered by cylinder

Final velocity of first cylinder ( V1 )  = [tex]\sqrt{\frac{4}{3} gLsin\beta }[/tex]  

Final velocity of  second cylinder ( V2 ) = [tex]\sqrt{2gLsin\beta }[/tex]

( following the application of the law of conservation of energy )

Given that ; Time taken = displacement / velocity  

hence the ratio = ( h / v1 ) / ( h / v2 )

where h = Lsin[tex]\beta[/tex]

the ratio = 1.22

c) The time for the rolling motion is greater than the time for the sliding motion because the potential energy is converted to both rotational kinetic energy and translational kinetic energy

Which of the following statements is true?
A. An object with stored energy cannot have mechanical energy.

В.An object with mechanical energy is always able to perform work.

C. An object with potential energy is always in motion.

D An object with kinetic energy is always positioned above the ground.

Answers

Answer:

В. An object with mechanical energy is always able to perform work.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Furthermore, the mechanical energy of a physical object or body is the sum of the potential energy and kinetic energy possessed by the object or body and it is measured in Joules.

Mathematically, it is given by the formula;

Mechanical energy = G.P.E + K.E

Hence, the true statement is that an object with mechanical energy is always able to perform work.

Answer:

B

Explanation:

Answer:

В. An object with mechanical energy is always able to perform work.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Furthermore, the mechanical energy of a physical object or body is the sum of the potential energy and kinetic energy possessed by the object or body and it is measured in Joules.

Mathematically, it is given by the formula;

Mechanical energy = G.P.E + K.E

Hence, the true statement is that an object with mechanical energy is always able to perform work.

Which equation describes the line containing the points (-2, 3) and (1, 2)​

Answers

Answer:

[tex]y = \frac{ - 1}{3}x + \frac{7}{3} [/tex]

Explanation:

[tex] \frac{y - 3}{2 - 3} = \frac{x + 2}{1 + 2} \\ \ - y + 3 = \frac{x + 2}{3} \\ y = \frac{ - 1}{3}x + \frac{7}{3} [/tex]

Why is it hard to make a connection between extreme weather events and climate change?

Answers

Answer:

Climate Change and Extreme Weather

Establishing the most likely causes behind an extreme weather event can be challenging, since these events are due to combinations of multiple factors, including natural variability.

Explanation:

please give me brainlist and follow

the far point of a miopic person is 80cm in front of eye.what is the nature and power of the lens required to correct the problem​

Answers

Answer:

Part A

The nature of the lens required is a concave lens

Part B

The power of the lens required is -1.25 D

Explanation:

Part A

Myopia is the eye condition whereby the focus of light entering the eye is in front of the retina such that the vision of a myopic person is blurred

The given far point of the myopic person in question = 80 cm

To correct the problem, the focus of light entering the eye will be moved further to reach the retina, by means of a concave lens which makes distant objects appear to come from (form an image at) 80 cm

Part B

The lens formula is given as follows;

[tex]\dfrac{1}{f} = \dfrac{1}{d_o} + \dfrac{1}{d_i}[/tex]

Where;

f = The focus of the lens (virtual focus)

[tex]d_o[/tex] = The distance of the object = ∞ (infinity)

[tex]d_i[/tex] = The distance of the image = -80 cm (virtual image formed in front of the mirror)

Plugging in the values, gives;

[tex]\dfrac{1}{f} = \dfrac{1}{\infty} + \dfrac{1}{-80 \, cm} = \dfrac{1}{-80 \, cm}[/tex]

[tex]\therefore \dfrac{1}{f} = \dfrac{1}{-80 \, cm}[/tex]

f = -80 cm = -0.8 m

The power of a lens, 'P' is the reciprocal of the focal length, 'f', given in meters

[tex]P = \dfrac{1}{f (in \, meters)}[/tex]

The SI unit for the power of a lens is the dioptre (D)

Therefore;

[tex]P = \dfrac{1}{-0.80 \, m} = -1.25 \, D[/tex]

Therefore, the power of the lens required, P = -1.25 D.

Energy from the sun is used by solar collectors to heat water or by solar cells to store energy for electricity. One disadvantage of solar energy is that _____

Answers

Answer: lots of them

Explanation:

We observe a glowing cloud of gas in space with a spectroscope. We note that many of the familiar lines of hydrogen that we know on Earth seem to be in a different place. They are shifted toward the blue or violet end of the spectrum compared to their positions in the spectrum of glowing hydrogen gas on Earth. From this we can conclude that: Group of answer choices the cloud is moving away from us the cloud is much hotter than hydrogen on Earth the cloud is moving toward us No information can be concluded from this observation alone the cloud is much cooler than hydrogen on Earth

Answers

Answer:

No information can be concluded from this observation alone the cloud is much cooler than hydrogen on Earth

PLEASE HELP ME,, I WOULD BE SO HAPPY

You push against a wall with all your might and generate an insane 2500N of force. However, the wall doesn't move. How much work did you do?​PLEASE HELP ME,, I WOULD BE SO HAPPY You push against a wall with all your might and generate an insane 2500N of force. However, the wall doesn't move. How much work did you do?​

Answers

Answer: None

Explanation:

    Since the wall did not move, it does not matter how much force you generated. You did no work in the physics sense.

    Work is calculated by multiplying the displacement by the force. Since there was no displacement (no movement) we put the value as 0. 0 times anything is still 0, as shown below.

2500 N * 0 = 0.

    You did no work, or 0 J of work.

A car of mass 800 kg goes round a corner of radius 65 m at a
speed of 10 m/s.
a) What size force is needed to achieve this?
b) Suggest how this force is likely to be obtained.
c) What force would be needed if the driver approached the
bend at twice the speed?​

Answers

Answer:

a. Centrifugal force = 1230.77 Newton.

b. Centrifugal force = mv²/r

c. Centrifugal force = 4923.08 Newton.

Explanation:

Given the following data;

Mass = 800kg

Radius = 65m

Velocity = 10m/s

a. To find the force;

Centrifugal force = (800*10²)/65

Centrifugal force = (800*100)/65

Centrifugal force = 80000/65

Centrifugal force = 1230.77 Newton.

b. The force associated with the car is generally referred to as centrifugal force because it's the force required to keep the car in a curved or circular path. It can be calculated using the formula;

Centrifugal force = mv²/r

c. To find the force at twice the speed;

Velocity = 2 * 10 = 20m/s

Centrifugal force = (800*20²)/65

Centrifugal force = (800*400)/65

Centrifugal force = 320000/65

Centrifugal force = 4923.08 Newton.

a. To achieve a car of mass 800 kg goes round a corner of radius 65 m at a            speed of 10 m/s , needed 1230.77 Newton centripetal forces.

b. When an object goes round a corner then centripetal forces keep that object moving in a curved path.

c. When speed is twice. then, 4923.07 Newton centripetal forces needed.

a. Given that car of mass 800 kg goes round a corner of radius 65 m at a

    speed of 10 m/s.

  Centripetal force ,[tex]F=\frac{mv^{2} }{r}[/tex]

  Where m is mass, v is speed of object and r is radius.

   Substituting all values in above equation.

                    [tex]F=\frac{800*10^{2} }{65} =1230.77Newton[/tex]

b. Centripetal force is defined as, the force that is necessary to keep an    object moving in a curved path and that is directed inward toward the center of rotation.

As a car makes a turn, the force of friction acting upon the turned wheels of the car provides centripetal force required for circular motion.

c. When speed is twice, then  [tex]v=10*2=20m/s[/tex]

      Centripetal force,[tex]F=\frac{800*20^{2} }{65} =4923.08Newton[/tex]

Learn more:

https://brainly.com/question/17381741

Help me please.......

Answers

Answer:

Cities near water tend to have less precipitation in the summer because the water is warmer than the air

What are the functions of skeleton?​

Answers

Answer:

support the structure of ur body

Explanation:

it gives the body its shape,allows movement,and also provides protection for ur organs

Answer:

The skeletal system works as a support structure for your body. It gives the body its shape, allows movement, makes blood cells, provides protection for organs and stores minerals. The skeletal system is also called the musculoskeletal system

Explanation:

I HOPE IT'S HELP :)

When the C4 key on a piano keyboard is pressed, a string inside the piano is struck by a hammer and begins vibrating back and forth at approximately 260 cycles per second.
a. What is the frequency in Hertz of the sound wave?
b. What is the wavelength of the wave?

Answers

Answer:

Frequency = 260 Hz and wavelength = 1.31 m

Explanation:

Given that,

A hammer begins vibrating back and forth at approximately 260 cycles per second.

(a) The frequency of an object is the number of vibrations per unit time. The frequency of the sound wave is 260 Hz.

(b) The speed of sound in air is 343 m/s. So,

[tex]v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{343}{260}\\\\\lambda=1.31\ m[/tex]

Hence, this is the required solution.

Time running out plzz hurry!!!!!!

Answers

I think you would hear a lower pitch

Answer:

I THINK ITS B but I'm not suresorry

what is the power of lens having focal length 6 cm?​

Answers

Yes Convex Lens Can form virtual images which are magnified, provided the object distance, measured from the optical centre must be less than focal length.

For your question,

let focal length, f = + 6 cm

let object distance be 'u'

let image distance be 'v'

magnification required, m = +3, +ve because image will be erect, according to the property of convex lens:

SCIENCE
Why is the nervous system in the human body a system?

A. It is made of tissues that can conduct electricity, a required function in a system.

B. Like all systems, the nervous system is contained within a living organism.

C. It is made of several components that act interdependently to perform a function as a whole.

D. The nervous system acts together with other systems to control a larger organism

Answers

Answer:

A. It is made of tissues that can conduct electricity, a required function in a system.

Explanation:

The nervous system helps all the parts of the body to communicate with each other. It also reacts to changes both outside and inside the body. The nervous system uses both electrical and chemical means to send and receive messages.

Answer:

D

Explanation:

it is D because a system needs to manage a large organism like us to allow us to live, therefore, needs to work with other systems to keep us alive

Scientists classify stars by color: white, red, blue. The color of a star helps to tells us how
______ The star is.

Answers

Answer: Hot

Explanation: Scientist use the color of starts to determine how hot the surface temperature is.

How is Ohm’s law applied?

Answers

The main applications of Ohm's law are: To determine the voltage, resistance or current of an electric circuit. Ohm's law is used to maintain the desired voltage drop across the electronic components. Ohm's law is also used in dc ammeter and other dc shunts to divert the current.

4.00 kg glass coffee cup is 30.0°C at room temperature. It is then plunged into hot dishwater at a temperature of 90.0°C, as shown in Figure below. If the temperature of the cup reaches that of the dishwater, how much heat does the cup absorb? C glass = 837 (J/kg.C)*

Answers

Answer:

Q = 200800 Joules.

Explanation:

Given the following data;

Mass = 4kg

Initial temperature = 30.0°C

Final temperature = 90.0°C

Specific heat capacity of glass = 837 J/kg°C

To find the quantity of heat absorbed;

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

dt = T2 - T1

dt = 90 - 30

dt = 60°C

Substituting the values into the equation, we have;

[tex] Q = 4*837*60[/tex]

Q = 200800 Joules.

Therefore, the amount of heat absorbed is 200800 Joules.

Does the earth move faster in rotation when it is closer to the sun or when it is far away?

Answers

Answer:

It moves faster when its further away

Explanation:

It happens in early January about 2 weeks after the Northern winter solstice

what is specific heat capacity?​

Answers

Specific heat capacity is defined as the amount of heat required to raise the temperature of 1 kilogram of a substance by 1 kelvin (SI unit of specific heat capacity J kg−1 K−1). From: Basic Physics and Measurement in Anaesthesia (Fourth Edition), 1995.

Answer: It is the amount of thermal energy (heat) needed to raise the temperature of 1kg of a substance by 1°C. *It is important to state that it is per kg because of the word "specific". cliffffy4h and 3 more users found this answer helpful.

Waste reduction + rationalization of consumption + reuse + recycling / ways of preserving natural resources

Answers

Answer:

Hello your question is vague hence I will provide a general answer on the importance of : Waste reduction, rationalization of consumption, reuse, recycling as ways of preserving the natural resources

answer :

Waste reduction : when we reduce the amount of wastage on items we use especially items produced from natural raw materials we will help preserve the natural resource because they can be used to produce varieties of other items

Reuse and recycling of waste products help keep our natural environment healthy thus preserving our natural resources.

Explanation:

Waste reduction, rationalization of consumption, reuse and recycling are all ways of preserving our natural resources

Waste reduction : when we reduce the amount of wastage on items we use especially items produced from natural raw materials we will help preserve the natural resource because they can be used to produce varieties of other items

Reuse and recycling of waste products help keep our natural environment healthy thus preserving our natural resources.

If the charge 16 C flows through the lightening during time 0.002 s then the AVERAGE current is equal to

80 A
8000 A
80000 A
0 A
Other:

Answers

Answer:

the average current is 8000 A

Explanation:

I got it answered by an expert

Given the mathematical representation of Coulomb’s Law, , where , describe in words the relationship among electric force, charge, and distance.

Answers

Answer:

[tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

Explanation:

Coulomb’s law is given as;

[tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

where;

F is the electric force between q₁ and q₂

k is the coulomb’s constant  = 9 x 10⁹ Nm²/C²

r is the distance between the two charges

q₁ and q₂ are the two charges

Therefore, the coulomb’s law is given as [tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

Drag the tiles to the correct boxes to complete the pairs.
Match the human activity with how It intensifies the greenhouse effect.
deforestation
burning fossil fuels
waste disposal in landfills
primary cause of human-created
carbon emissions
destroys natural carbon sinks,
leading to more CO2 in the air
emits methane from decomposing
matter

Answers

Answer:

1Burning of fossil fuel

2Deforestation

3Waste disposal in landfills

Explanation: took test:)

Human activities intensify the greenhouse effect as:

Deforestation -destroys natural carbon sinks, leading to more CO₂ in the air

Burning fossil fuels - the primary cause of human-created carbon emissions

Waste disposal in landfills - emits methane from decomposing matter

What is the greenhouse effect?

The greenhouse effect can be defined as a process that occurs when energy heats the planet's surface, but greenhouse gases in the atmosphere stop the heat from returning directly to space and warm the earth.

The natural greenhouse effect retains the earth from freezing at the below-freezing temperature that it will freeze if there were no greenhouse gases. Human activities increase greenhouse gases and trap larger amounts of heat, which cause the Earth's temperature to grow warmer over time.

The Sun delivers most of its energy as visible light and near-infrared light, while the average surface temperature of the Earth emits longer-wavelength infrared IR and radiant heat. These gases emit radiant heat in all directions, traveling heat to the air and warming other greenhouse gases in the atmosphere.

Learn more about the greenhouse effect, here:

brainly.com/question/13706708

#SPJ5

Describe the term differentiation, and the role it plays in the development of the fetus. plz help me

Answers

Answer: Embryonic differentiation is the process of development during which embryonic cells specialize and diverse tissue structures arise.

Explanation:

A physical property is
O onethat describes using our 5 sences
O stops when a chemical reaction is occurring
one that makes something new
O one that describes a chemical change.

Answers

Answer:

One that we describe using our 5 senses

Explanation:

A physical property describes something we can physically observe.

When do sunspots disappear?


A) Sunspots are always present and NEVER disappear.


B) Once the magnetic field weakens in the area and cold plasma enters the area of the sunspot


C) Once the magnetic field weakens in the area and hotter plasma enters the area of the sunspot


D) Once the magnetic field strengthens in the area and hotter plasma enters the area of the sunspot

Answers

Answer:

In 5 years or so, the sun will be awash in sunspots and more prone to violent bursts of magnetic activity.

Explanation

once the magnetic field weakens the area and cold plasma enters the area of the sunspot

Answer

The answer is C I took the test an got an A.

Explanation:

K12 ASTRONOMY 7.07.04

URGENT HELP NEEDED PLEASE!
A clay ball (mass = 0.25kg) has a rightward momentum of +1.75 kg∙m/s. A second clay ball (mass = 0.25 kg) has a leftward momentum of -1.75 kg∙m/s. The two collide, stick together, and come to a complete stop after the collision.
a) What was the total energy of the system before the collision?
b) What was the total energy of the system after the collision?

Answers

Answer:

the total energy before collision is 12.25J

the total energy after collision is tranfered to sound and heat (by the friction between the two clay balls)

Explanation:

first we should know the velocity of the 2 balls:

momentum=mass ×velocity

we have the momentum and the mass of the 2

so momentum ÷mass=velocity

clay ball 1 velocity=7 m/s & clay ball 2 velocity= -7 m/s

KE=1/2 mv²

1/2 ×0.25×7²=6.125J KE of ball 1

1/2 ×0.25×-7²=6.125J KE of ball 2

add them both we will have 12.25J which is before collision

this energy will then be tranfered to heat and sound as they stop after the collision(velocity =0m/s)

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