The input force of a pulley system must move 8.0 m to lift a 3,000-n engine a distance of 2.0 m. what is the ima of the system?

Answers

Answer 1

The IMA (ideal mechanical advantage) of a single pulley is the ratio between the output force and the input force:
[tex]IMA= \frac{F_{out}}{F_{in}} [/tex]
Moreover, for the law of conservation of energy, the work done in input to lift the lift must be equal to the output work:
[tex]W_{in}=W_{out}[/tex]
[tex]F_{in} d_{in}=F_{out} d_{out}[/tex]
where the [tex]d_{in}[/tex] is the distance for which the input force is applied while [tex]d_{out}[/tex] is the distance of which the lift is lifted.
Substituting [tex]F_{out}=3000 N[/tex], [tex]d_{out}=2 m[/tex] and [tex]d_{in}=8 m[/tex] into the previous equation, we find the value of the input force:
[tex]F_{in}= \frac{F_{out} d_{out}}{d_{in}} = \frac{(3000 N)(2 m)}{8 m}=750 N [/tex]
And now we can find the IMA of the pulley:
[tex]IMA= \frac{F_{out}}{F_{in}}= \frac{3000 N}{750 N}=4 [/tex]

As we can see, the IMA is also equal to the ratio between the input and output distance:
[tex]IMA= \frac{d_{in}}{F_{out}}= \frac{8m}{2m}=4 [/tex]

Related Questions

A 9.0 cm object is 3.0 cm from a lens, which has a focal length of –12.0 cm.

Answers

The question is missing, but I guess the problem is asking for the distance and the size of the image.

Let's find the distance first, by using the lens equation:
[tex] \frac{1}{f}= \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where f is the focal length, [tex]d_o[/tex] the distance of the object from the lens, [tex]d_i[/tex] the distance of the image from the lens. Using [tex]f=-12.0 cm[/tex] and [tex]d_o=3.0 cm[/tex], we find
[tex]- \frac{1}{12}= \frac{1}{3}+ \frac{1}{d_i} [/tex]
[tex]d_i=- \frac{12}{5}=-2.4 cm [/tex]
where the negative sign means the image is virtual, so located in front of the lens.

Now we can find the size of the image, using the relationship:
[tex] \frac{h_i}{h_o} =- \frac{d_i}{d_o} [/tex]
where [tex] h_i[/tex] and [tex] h_o[/tex] are the size of the image and of the object, respectively.
By using [tex] h_o=9.0 cm[/tex], we can find [tex] h_i[/tex], the size of the image:
[tex] h_i=-h_o \frac{d_i}{d_o}=-(9.0 cm) \frac{(-2.4 cm)}{3.0 cm}=7.2 cm [/tex]
where the positive sign means the image is upright.

The correct answers should be -2.4, 7.2, concave in that order

Whats number 4 ?????????

Answers

I believe c is the right answer.

Know the characteristics of a solid, liquid, gas, plasma. (Definite shape/ volume?)

Answers

solids-are molecules that are together at all times( unless changed by a liquid or gas)

liquid-are molecules that move around freely in 1 space but can be changed to solid or gas

gas- molecules that move around freely and can be hot or cold depending

plasma- a material that goes to forming a cell or a liquid without any structual particles
There you go!

As part of the photoelectric effect, which of these is responsible for the pixels in an image on a digital camera?

A. accumulated electrons that are absorbed by the image sensor.
B. accumulated electrons that are ejected by the image sensor.
C. accumulated photons that are ejected by the image sensor.
D. accumulated photons that are absorbed by the image sensor.,

Answers

The answer is D. Photons are individual units of light. In order for an image to exist, they need to be absorbed by something that can use them to create the picture. In old days, this was Silver Nitrate applied to film, but today it is the digital camera itself that does this. Electrons are something different entirely, so A and B are wrong, and C is wrong because the photons are not ejected by the image sensor.

Answer:

It's B) accumulated electrons that are ejected by the image sensor

On edge 2020

Explanation:

I need help with 2 questions . Please help c:

1 . According to the nebular theory, the solar system formed from ?

accretion of protoplanets.
a large, thin cloud of dust and gas.
colliding planetesimals.
all of the above

2. Which of the following statements explains why the terrestrial planets are small and rocky instead of large and less dense like the gas giants?

The inner planets were exposed to much higher temperatures.
Ice-forming compounds vaporize at high temperatures.
Rock-forming materials can condense at high temperatures.
all of the above

Answers

a) According to the nebular theory, the Solar System formed from a huge gaseous nebula which at a certain point was perturbated. Atoms and molecules started colliding, forming planetesimals (a sort of big rocks). The planetesimals were attracted to each other by gravity, forming bigger warm almost spherical objects called protoplanets, which at the end cooled down forming planets.
Therefore the correct answer is "all of the above".

b) The planets closer to the Sun were (and still are) subject to higher temperatures, due to their close distance to the Sun. In these conditions, rocky materials undergo condensation, while iced gaseous materials undergo vaporization. In the outer parts of the Solar System temperatures are too low to allow these transformations.
The correct answer is again "all of the above".

Cellular phones use _____?
A) radar waves
B) very high-frequency waves
C) very low-frequency waves
D) microwaves

Answers

Let's see: frequency of cellular phone waves (GSM phones) is (800-1900 MHz). If we look at the table of the electromagnetic spectrum, we can see that this range is contained within the frequencies of the microwaves, which include waves in the range 300 MHz-300 GHz.

So, summarizing, the correct answer is "microwaves".

3. D-Microwaves

1. C-electromagnetic spectrum

2. B-radio waves

^^(for those doing the three question physical science test)

20 points BRAINLIEST!!! ASAP ANSWER

Choose one piece of evidence. Explain, in your own words, how it supports the Big Bang Theory.
A. Redshift
B. CMB
C. Hydrogen and Helium
D. Less Evolved Distant Galaxies

Answers

The redshift shows that distant galaxies are moving away. The further away the galaxy, the bigger the redshift. More distant galaxies are moving away faster. Evidence that the universe is expanding and the start of the universe could have been from a single explosion. The Big Bang theory proposes that the universe began in a small space that was hot and dense and then expanded. A massive explosion expansion sent all matter outwards which caused the universe to expand.

Could someone help with these two answers please?

If the air inside a balloon exerts a force of 1.5 N on an area of 0.5 m², what is the pressure inside the balloon?
A. 0.5 N/m²
B. 1.5 N/m²
C. 2.5 N/m²
D. 3 N/m²

As your airplane takes off from an airstrip on the ground and rises 30,000 feet into
the sky, what happens to the air pressure on the outside of the airplane?
A. The air pressure decreases.
B. The air pressure increases.
C. The air pressure stays the same.
D. More information is needed.,

Answers

A) pressure = Force/ Area. Pressure = 1.5/0.5 = 3. B) Option A. The air pressure decreases. Since atmospheric pressure decreases with increasing altitude, as the plane soars higher and higher the pressure on the outside decreases since there are fewer air molecules -- the total weight of the air above a unit area becomes increasingly small. As we move higher up earth's surface, there are fewer air molecules than at lower levels; this explains why pressure decreases with increasing altitude.

to increase friction you could :

a.increase the mass of an object
b.put your objects on a wheel
c.make the surfaces smooth or slick

Answers

We would have to consider first, the word friction. This friction, would the signify on how a object would then be attracted by another, using it's own abilities that this friction, and also how strong this friction would then be. Therefore, this would actually only be handled, if the surface would then be as smooth as possible, and also, it would then have to have a slick surface, in order for a object to obtain a certain degree of friction.

Your answer: make the surfaces smooth or slick

Before going to answer this question first we have to know something about friction.

Friction is the opposing force which is due to interlocking of irregularity and wielding effect.In our naked eye a surface may look smooth, but at microscopic level, it has elevations and depressions.

A rough surface has more friction as compared to a smoother surface as smoother surface has less irregularity.

Again we know that that rolling friction is less than sliding friction.so whenever the object will be placed on a wheel,so there will be less friction.

Again we know that the frictional force is directly proportional to the normal reaction.

The empirical formula for frictional force F= coefficient of friction × normal reaction[tex]i.e F=\mu*N[/tex]

so whenever the mass increases ,correspondingly there will be increment in normal reaction which results in the increment in kinetic friction.

But one thing we have to remember that friction is also dependent on contact area.As long as the contact area is same ,there will be no increment in friction due to increment in mass.

So the first answer is partially correct.

Which mineral is hard and has the same color and streak

Answers

Final answer:

A hard mineral with the same color as its streak is likely a metallic mineral, with examples including hematite and galena. The streak test is performed using an unglazed porcelain plate to reveal the color of the mineral's powder form.

Explanation:

The mineral in question, which is hard and has the same color as its streak, could refer to one of the metallic minerals, as they often have a streak color that is indicative of their actual color. Examples include hematite, with a dark gray on hand-sample but a red-brown streak, or galena, which has a dark gray streak matching its dark gray appearance. To determine the streak color, one can perform a streak test by rubbing the mineral across an unglazed porcelain plate. This test is useful because the powder form of the mineral may show colors that are different from the bulk mineral due to the particle size affecting how light is absorbed and reflected.

Write the value 299,792,458 m/s in proper scientific notation to 4 significant figures. 2.998 × 108 m/s 2.997 × 108 m/s 2.998 × 106 m/s 2.997 × 106 m/s

Answers

First, let's find the correct exponent. We have 8 digits after the first digit (2), therefore the exponent will be 8. So, the correct answer must be among the first two options.
To understand which one is correct, let's have a look at the digits after 2. We have: 9979. If we want to round this number, it will be 998, because after the 7 we have a digit which is larger than 5, so 7 must be rounded to 8. Therefore, the correct number will be:
[tex]2.998\cdot 10^8 m/s[/tex]

Bob read data from the projectile motion lab graph shown and determined that the drop time was inversely proportional to the horizontal velocity. Which of the following statements is true?

Bob's conclusion was wrong because the x-axis scale is exaggerated.

Bob's conclusion was right because the data points were connected.

Bob's conclusion was wrong because the y-axis scale is exaggerated.

Bob's conclusion was right because the x-axis scale is exaggerated.,

Answers

When he determined that the drop time was inversely proportional to the horizontal velocity, the answer for it would be Bob's conclusion was right because the data points were connected. The connection of the x and y axis varied because it is inversely proportional.

To find amplitude, measure _____.
A: the horizontal distance between consecutive crest positions
B: the horizontal distance between a consecutive crest and trough
C: the vertical distance from a crest to a trough
D: the vertical distance from a crest to the rest position
Never mind, use this for free points. I already answered it.

Answers

Final answer:

The amplitude of a wave is defined as the vertical distance from a crest (or trough) to the rest (equilibrium) position of the wave. Thus, to determine the amplitude, one must measure this vertical distance.

Explanation:

The amplitude of a wave is the measure of the maximum displacement of the medium from its rest position. It can be seen as the 'height' of the wave, and it's measured vertically. If we consider a wave to be symmetrical, the crest (top of the wave) is distance +A above the equilibrium (resting) position, and the trough (bottom of the wave) is distance -A below it.

Thus, the amplitude refers to the vertical distance from a crest (or trough) to the rest position. In simpler terms, to find the amplitude, measure the vertical distance from a crest to the rest position. Hence, the correct answer is D: the vertical distance from a crest to the rest position.

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A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft. write a quadratic function equation that describes the height h at time t.

Answers

Final answer:

The quadratic function equation that describes the height of the rock is h = -16t^2 + 16t + 5.

Explanation:

To write a quadratic function equation that describes the height h at time t, we can use the kinematic equation for vertical motion: h = -16t^2 + 16t + 5. This equation represents the height of the rock as a function of time, taking into account the initial height, initial velocity, and acceleration due to gravity. The coefficient -16 in front of t^2 accounts for the downward acceleration of the rock.

Which of the following are metalloid elements?

Check all that apply.

A. Boron (B)
B. Phosphorus (P)
C. Silicon (Si)
D. Tin (Sn)
E. Lead (Pb)

Answers

uuuuuuuuuuuuuuuuuiiiiiiiiiiiii

Boron and Silicon are metalloids

The sound intensity of street traffic is about 107 times greater than the threshold of hearing. what is the relative intensity of street traffic? use the formula

Answers

From the information, the sound intensity of street traffic is about 10^7 greater than the threshold of hearing.
Therefore; if the threshold of hearing is 1 then the street traffic is 10^7 times greater. Sound intensity is the sound power per unit area (W/m²), a sound energy quantity, the SI units are Watts/square meter. Sound intensity level in decibels is ten times the logarithm of the ratio of the sound intensity to the reference sound intensity of 1 pico watt/m²
Hence; the intensity level is LI = 10 × log (10 ^7)/1) dB
= 70 dB greater than the threshold of hearing at 0 dB
Thus the relative intensity of street traffic is 70 decibels.

How are important properties of Mercury, Venus, and Mars different from important properties of Earth?

Answers

Hi there,

There is one thing that is the most difference about other planets. Earth is a perfect condition for humans, animals, and other living things. Venus and Mars are not quite good for that. Venus has a very HOT surface, which makes it nearly impossible to be on. Mars on the other hand is very COLD, colder than earth because it is farther from the sun.

Which of the following represents the greatest energy transition from a higher energy level to a lower one?

emission of a blue photon of 450 nm

emission of a red photon of 770 nm

emission of a green photon of 550 nm

emission of a yellow photon of 590 nm

Answers

You need to use Planck's law:
E = h·υ = (h·c)/λ

Without making all the calculations, a fraction is bigger than another when the denominator is smaller. Therefore you need to find the smallest wavelength (λ) which is 450nm.

You could also be helped by colors: in order of decreasing energy, you have blue - green - yellow - red.

In any case, the correct answer is a).

Final answer:

The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm.

Explanation:

The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm. This is because the energy of a photon is inversely proportional to its wavelength. As the wavelength decreases, the energy increases. Since blue light has a shorter wavelength than red, green, and yellow light, it has the highest energy.

How many atoms of each element are in the chemical formula P2O5?

2 phosphorus and 5 oxygen
5 phosphorus and 2 oxygen
1 phosphorus and 5 oxygen
2 phosphorus and 1 oxygen
the answer is the last one

Answers

2 phosphorus and 5 oxygen

Answer:

2 phosphorus and 5 oxygen

Explanation:

The chemical formula of the substance is:

[tex]P_2 O_5[/tex]

where each subscripts indicates the number of atoms of each element. We see that P (phosphorus) has a subscript '2' while O (oxigen) has a subscript '5', so the correct answer is

2 phosphorus and 5 oxygen

1. Show how the alternative definition of power, found in your book, can be derived by substituting the definitions of work and speed into the standard definition of power, P = W / delta t.

2. A real spring does not oscillate forever. Instead, it eventually comes to a stop. Does this violate the Law of Conservation of Energy? Explain why or why not.

Answers

1) Star from the definition of power:

P = work/ time = W / Δt

We know that work is given by force times displacement:
W = F · Δd
Substituting in our formula:
P = F · Δd / Δt

But we know by definition that Δd / Δt = velocity, therefore we can write:
P = F · v
which is the alternative formula saying that Power is equal to Force times Velocity

2) No, it is not a violation of the Law of conservation of energy because as the spring slows down, the kinetic energy is transformed into potential energy and their sum stays constant.

The closeness of measured values to an accepted value is the BLANK of the data ?

Answers

Answer: accuracy

Justification:

Any measure of a physical data is subject to errors. The errors can be of different kind.

The closer is a measure to the real or accepted value the more accurate the measure is.

For example, if you measure the length of a sheet of paper letter size and you know that the accepted value is 11 inches, then you can tell how accurate your measure is comparing with 11 inches.

Many times the measure is affected by the accuracy of the instrument used (the divisions), but it is also subject to human errors, and may be errors due to the method of measuring.

Andesitic rocks have mineral compositions between those of ____ and basaltic rocks.

a. conglomerate

c. granitic

b. metamorphic

d. organic

Answers

The answer is C, granitic.

Answer:

The answer is Granitic rock

Explanation:

Granite is a light-colored igneous rock with pieces that are large enough to be visible with the naked eye. It is formed from the slow crystallization of magma below Earth's surface which we call as lava. Granite is composed mainly of quartz and feldspar with very small amounts of mica, amphiboles, and other minerals. If we talk about Andesitic rocks, they contain mineral compositions between those of granite and basaltic rocks.

Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. Which of the diagrams below illustrates his displacement?

Answers are in the diagram below.

Choose one.

And I will mark the right answer The Brainliest.

Answers

The second diagram. The arrow of the 3meters journey rests underneath the tail of the 4meters journey, and are both joined by the resultant 5meters vector joining the tail to the arrow

Answer: the Fourth diagram

Explanation: The fourth diagram shows movement from her origin with the arrows indicating her movement 3metres east, from where she turns north and walks 4 metres the arrows indicates that. The resultants 5meters indicates her return back to her starting point with the arrow pointing at the tail of the 3metres.

Homeowners will typically have their heaters set for about 140 degrees F. What is that temperature in C.

Answers

It would be 60 degrees Celsius:)

To convert 140 degrees Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and multiply the result by 5/9, resulting in 60 degrees Celsius.

To convert a temperature from Fahrenheit to Celsius, we can use the formula: C = (F - 32) × 5/9, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius. So, for a heater set to 140 degrees Fahrenheit, the conversion to Celsius would be:

C = (140 - 32) × 5/9

C = (108) × 5/9

C = 60

Therefore, 140 degrees Fahrenheit is equal to 60 degrees Celsius. This knowledge is essential when discussing the power needed to keep a house warm, as energy requirements are usually given in watts per degree Celsius (W/°C).

Thunderstorms occur where warm, moist air has absorbed enough heat and moisture to be significantly __________ than the surrounding air.

Answers

Students should realize that if an object weighs more than an equal volume of water, it is more dense and will sink, and if it weighs less than an equal volume of water, it is less denseand will float. Remember that the density of water is about 1 g/cm3. Predict whether the following objects will sink or float.

The answer is less dense

as an object falls freely toward earth, the object's momentum is

1. decreses
2. inceases
3. remains the same,

Answers

The momentum of an object is the result of the mass of that object and the velocity by which it travels. So, since as an object falls towards the earth it's velocity increases, it's momentum would also increase at least until the object reaches its terminal velocity.

The object's momentum remains the same as it descends freely toward the earth.

So, option 3. is correct.

Define momentum.

Momentum is a measurable quantity that exists because an object is moving and has mass. The mass multiplied by the velocity equals momentum. If an item is stationary, its velocity is zero, and it has no momentum.

When an object descends toward Earth, it accelerates due to gravity, accumulating speed and momentum until the upward force of air resistance equals the downward force due to the object's weight under gravity, a point known as terminal velocity.

The law of conservation of momentum asserts that the overall momentum of objects that interact does not change in the absence of external forces such as friction.

So,

The object's momentum 3. remains the same as it descends freely toward the earth.

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Where in the motion is the magnitude of the net force on the object a maximum? where in the motion is the speed a maximum?

Answers

Assuming you are asking about some sort of oscillation, the magnitude of the net force is maximum where the acceleration of the object is the largest. The velocity of an object is maximum where the acceleration is zero.

Which statement describes what most likely occurs when a compass is placed next to a simple circuit made from a battery, a light bulb, and a wire?

A. A magnetic field created by the compass increases the current in the electrical circuit.
B. A magnetic field created by the compass causes the light bulb to stop working.
C. A magnetic field created by the electric current places negative charges on the compass.
D. A magnetic field created by the electric current causes the compass needle to move.

Answers

When a compass is placed next to a simple circuit made from a
battery, a light bulb, and a wire, the magnetic field created by the
electric current in the wire causes the compass needle to move. (D)

In this circuit A magnetic field created by the electric current causes the compass needle to move. hence option D is correct.

Faraday's law of induction ?

Faraday's law states that "change in a magnetic field produces electric field in the circuit". It can also be stated as " when magnetic flux linked to a circuit changes, an electromotive force is induced in the circuit which is proportional to the rate of change of the flux".

If the wire shown in the circuit is non coated with insulated material. Current flowing through the circuit produces magnetic field around it. This produced magnetic field affects the magnetic field of middle of the compass. Created magnetic field of wire attract needle due to its magnetic field, as a result needle moves.

Hence option D is correct.

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is the following chemical equation balanced? 2Na + 2H 2 O 2NaOH + H 2

Answers

yes 2Na + 2H 2 O 2NaOH + H 2 is a balanced chemucal equation

Yes it is.

There are 2 Na atoms on each side,

there are 4 H atoms on each side (2H and H₂),

there are 2 O atoms on each side.

This means that the equation is even (not accounting for energy loss or anything like that).

Which is not a protection against electrical accidents?

a. fuse

b. conducting wire

c. insulation

d. grounded plug

Answers

b. conducting wire
Should be

Conducting wire cannot be a protection against electrical accidents since it is a metal conductor that acts as a carrier of electricity. Others, are safety devices used in electrical circuits like fuse.

Other Questions

Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .Which sequence of transformations shows that triangle ABC and triangle FGH are congruent?Select each correct answer.A Translate triangle FGH down 6 units, and then translate triangle FGH left 3 units. B Translate triangle FGH up 6 units, and then translate triangle FGH right 3 units. C Translate triangle ABC up 6 units, and then translate triangle ABC right 3 units.D Translate triangle ABC down 6 units, and then translate triangle ABC left 3 units.The coordinates of the vertices of triangle XYZ are given in the table.XYZ(0, 6)(10, 4)(3, 1)Triangle XYZ is reflected across the y-axis.What are the vertices of triangle XYZ ?Enter your answers in the boxes.X : (, )Y : (, )Z : (, )The coordinates of the vertices of triangle XYZ are given in the table.XYZ(0, 6)(10, 4)(3, 1)Triangle XYZ is reflected across the y-axis.What are the vertices of triangle XYZ ?Enter your answers in the boxes.X : (, )Y : (, )Z : (, ) The coordinates of the vertices of triangle XYZ are given in the table.XYZ(0, 6)(10, 4)(3, 1)Triangle XYZ is reflected across the y-axis.What are the vertices of triangle XYZ ?Enter your answers in the boxes.X : (, )Y : (, )Z : (, ) Why did the African American renaissance flower during the 1920s? What chamber of the heart will blood enter after passing through the biscuspid valve? solve the system by either elimination or substitution3x-5y=212x+y=1A.2,-3B.2,3C.-2,-1D.-2,1My guess is c In about one hundred words, discuss the meaning of rhyme and meter, and their effect in the stanza. Cite specific words and lines to support your analysis. 500 ml of four different liquids are heated to 50oC. According to the specific heat data, which liquid will cool to 35oC in the shortest amount of time? The process in which an association between the conditioned stimulus and unconditioned stimulus is gradually formed is called Please could someone help with this one . Thanks I will brainlist When your body is infected with the cold virus, antibodies tag the pathogens _______, which are found on the outer surface, for destruction by immune cells. @xxImHisGirlxx One of the long-term effects of the peloponnesian war was __________ A u.s. manufacturer that exports goods made at its u.s. plants for shipment to foreign markets: how did the advent of television change how candidates ran their political campaigns? HELP PLEASE!!?!5. The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 18 hours. Round your answer to the nearest thousandth., Is Sir Gawain a good example of a chivalrous knight? Why or why not? Different pitched (high- or low-toned) sounds are discriminated by the: the sum of two numbera is 122. the second number is 18 less than three times the first number. find the numbers. help please! James is in the process of purchasing a new home. he is going back and forth with the sellers over the one issue of the selling price. neither james nor the sellers want to compromise. jim thinks the sellers are asking too much. the sellers think jim is not a serious buyer. jim and the sellers are engaging in _____________. A horizontal pull A pulls two wagons over a horizontal frictionless floor, the first wagon is 500N, the second is 2000 N. The tension in the light horizontal rope connecting the wagons is.help explain your answer, IF YOU HELP ME ILL WILL GIVE YOU BRAINLIST AND 50 PONITS HELP ME PLZZZZZWhich statement or statements are TRUE?I. The data distribution is skewedII. The interquartile range is 6III. The median is 10A) I only B) II only C) I and II only D) II and III only Kareem wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is 13 feet and its width is 12 feet. The wallpaper costs $8 for each square foot. How much will wallpaper cost for the wall?