The density of water is 1. 0 g/cm3. How many kilograms of water does a submerged 120-cm3 block displace? Recall that 1. 0 g/cm3 weights 9. 8 N on earth. What is the buoyant force on the block?

Answers

Answer 1

The density of water is 1.0 g/cm³. It's required to determine the mass of water displaced by a submerged 120-cm³ block and the buoyant force on the block.To find the mass of water displaced by a 120 cm³ block, we first need to know the mass of 1 cm³ of water, which is equal to its density, which is 1.0 g/cm³.

The volume of the block is 120 cm³, so we can calculate its mass by multiplying its volume by the density of water. Therefore, the mass of the block submerged in water is:120 cm³ × 1.0 g/cm³ = 120 gTo find the number of kilograms, we divide the value obtained by 1000. Therefore, 120 g = 0.12 kg.The buoyant force is equal to the weight of the water displaced by the block. The buoyant force equals the weight of water displaced by the object.

The weight of 1 cm³ of water is 9.8 N (newtons), which is equal to the weight of 1 g of water. We can use this to calculate the weight of water displaced by the block as follows:120 cm³ × 1.0 g/cm³ × 9.8 N/g = 1176 NTherefore, the buoyant force acting on the block is 1176 N (Newtons).

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Related Questions

4. Without the sun, there would be no way to replace energy released into the environment. True or False

Answers

Answer:

true

Explanation:

If an object is 60 centimeters high and the image is 189 centimeters high, what is the magnification?

Answers

Answer:

Explanation:

Given:

h = 60 cm

H = 189 cm

_________

K - ?

The magnification:

K = H / h

K = 189 / 60 ≈ 3.15

A car drives 2 blocks north, then 3 blocks east, and finally 2 blocks south. What is the
displacement of the car?
A) 15 km
B) 3 km west
C) 3 km east
D) 7 km north

Answers

3 km Northeast a^2 +b^2 = c^2 let a=(2-2) ,b=3 so C= 3

the glass core of an optical fiber has an index of refraction 1.60. the index of refraction of the cladding is 1.43. you may want to review (pages 967 - 971) . part a what is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber?

Answers

We can use Snell's law. Snell's law relates the angles and indices of refraction of light as it passes through the interface between two media. Therefore, the maximum angle a light ray can make with the wall of the core, while remaining inside the fiber, is approximately 47.1 degrees.

Snell's law can be written as:

n₁ ₓ sin(Θ₁) = n₂ ₓ sin(Θ₂)

In this case, we want to find the maximum angle of incidence, which corresponds to the case where the angle of refraction (Θ₁) is 90 degrees. This is the angle at which the light ray grazes the wall of the core.

When Θ₁ is 90 degrees, sin(Θ₂) becomes 1, and Snell's law becomes:

n₁ ₓ sin(Θ₁) = n₂

Rearranging the equation, we have:

sin(Θ₁) = n₂ / n₁

Taking the inverse sine (or arcsine) of both sides, we get:

Θ₁ = sin⁻¹(n₂ / n₁)

In this case, n₁ is the refractive index of the core (1.60) and n₁ is the refractive index of the cladding (1.43). Substituting these values into the equation, we have:

Θ1 = sin(1.43 / 1.60)

Using a calculator, the value of theta1 is approximately 47.1 degrees.

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What does Newtons second law explain? (Stemscopes)

Answers

Answer:

hey!!

Newton's second law of motion, also known as the law of acceleration, explains the relationship between an object's mass, the applied force, and its resulting acceleration. The law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, Newton's second law can be expressed as:

F = ma

Where:

F represents the net force acting on the object,

m represents the mass of the object, and

a represents the acceleration produced by the force.

In simpler terms, Newton's second law states that the force acting on an object determines how much it accelerates. A larger force applied to an object will result in a greater acceleration, while a smaller force will produce a smaller acceleration. Additionally, if the mass of the object is increased, the same force will produce a smaller acceleration, and vice versa.

This fundamental law of motion helps us understand how forces and masses interact to produce motion. It is widely applicable and plays a crucial role in fields such as physics, engineering, and everyday life when studying the behaviour of objects in motion.

i hope this helps you :)

When light hits something like a raindrop or a prism, it will...

it will
One: Diffract
Two: Be Absorbed
or
Three: Refract

Answers

Answer:

three: refracts

the light bends when passing thought a raindrop or prism

True/False. neutron stars are the densest objects that we can directly observe in the universe.

Answers

True. Neutron stars are some of the densest objects that we can directly observe in the universe. These stars are formed when a massive star undergoes a supernova explosion, and the core of the star collapses under its own gravity, creating a super-dense object that is composed almost entirely of neutrons.

The Neutron stars have a mass similar to that of the sun but are only about 10 miles in diameter, making them incredibly compact. Because of their extreme density, neutron stars have very strong gravitational fields and can cause the space around them to warp and bend. They also emit intense radiation, including X-rays and gamma rays, which can be detected by telescopes. Studying neutron stars can provide insights into the fundamental properties of matter, as well as the processes that occur in the most extreme environments in the universe.

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A line of charge with uniform charge density λ lies along the x axis from x = -a to x = a.(a) What is the magnitude of the electric potential at (0, y)? (Use the following as necessary: k, λ, a and y.)(b) How much work is necessary to move a particle with charge q from very far away to (0, y)? (Use the following as necessary: k, λ, a, q and y.)

Answers

a) To find the magnitude of the electric potential at point (0, y), we need to integrate the contribution to the potential from each element of charge along the line.  the magnitude of the electric potential at point (0, y) is:

V = kλpi/a

b) To move a particle with charge q from very far away to point (0, y), we need to do work against the electric field created by the line of charge.

the work required to move a particle with charge q from very far away to point (0, y) is qkλ*pi/a.

magnitude refers to the size or extent of a physical quantity or property. It can refer to the numerical value of a quantity, or to the intensity, strength, or power of a force or other physical phenomenon.

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PLEASE HELP 50 POINTS AND MARKED AS BRAINLIEST

A spring scale is a device that uses a spring with a known spring constant to measure the weight of objects. You have a spring scale with a spring constant of 13 Nm. How much will the spring stretch when a 12-N weight is hung from one end?​

Answers

Answer:

It would stretch about 6 inches, but it depends on the metal.

Explanation:

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What makes rusting a redox reaction?

A. It is an example of combustion, which is a redox reaction.

B. Electrons are transferred from oxygen atoms to iron atoms.

C. Any reaction involving oxygen is a redox reaction.

D. Electrons are transferred from iron atoms to oxygen atoms.


(No links please)​

Answers

Electrons are transferred from oxygen atoms to iron atoms is a redox reaction. Option B is correct.

What is a redox reaction?

A redox reaction is a type of chemical reaction in which two species exchange electrons.

Any chemical process in which the oxidation number of a molecule, atom, or ion changes by gaining or losing an electron is known as an oxidation-reduction reaction.

A redox reaction can result in the creation of hydrogen fluoride. The creation of hydrogen fluoride is another example of a redox reaction.

We can evaluate the oxidation and reduction of reactants by breaking down the process. Each hydrogen turns positive after being oxidized and losing two electrons.

Electrons are transferred from oxygen atoms to iron atoms is a redox reaction.

Hence, the option B is correct.

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Answer: D) Electrons are transferred from iron atoms to oxygen atoms


If anyone else needs it

Explanation: the iron is increasing in oxidation number (losing electrons) and oxygen is decreasing in oxidation number (gaining electrons). This tells us that we have oxidation (or rusting) taking place.

Which of these forces is causing work to be done on the book?

Answers

Answer:

What forces?

Explanation:

You didn't give any info

Describe the laws of liquid pressure and Explain the term fluid. (Please give the correct answer, it's really urgent)​

Answers

Answer:

The laws of liquid pressure are  

(i) Pressure inside the liquid increases with the depth from the free surface of the liquid.

(ii) Pressure is same at all points on a horizontal plane, in case of stationary liquid.

(iii) Pressure is same in all directions about a point inside the liquid.

(iv) Pressure at same depth is different in different liquids. It increases with the increase in the density of the liquid.

(v) A liquid will always seek its own level.

A Fluid is any liquid or gas or generally any material that cannot sustain a tangential, or shearing, force when at rest.  

Explanation:

Cómo están relacionadas la energía y materia en la química?

Answers

Answer:

La materia y energía interactúa entre sí de forma continua. De hecho, la materia estaría en un estado estático de forma estable si no fuera por la energía. De esta forma, materia y energía están interactuando entre sí constantemente, donde la materia sería el sujeto pasivo que padece la acción de la energía, mientras que la energía sería el sujeto activo que modificaría el estado de reposo o movimiento de la materia.

Explanation:

Hey!!
I need help in a question...

• Different types of fuels and the amount of pollutants they release.

Please help me with the question.
Thankss​

Answers

Answer: Different types of fuels have varying compositions and release different amounts of pollutants when burned. Here are some common types of fuels and the pollutants associated with them:

Fossil Fuels:

a. Coal: When burned, coal releases pollutants such as carbon dioxide (CO2), sulfur dioxide (SO2), nitrogen oxides (NOx), and particulate matter (PM).

b. Petroleum (Oil): Burning petroleum-based fuels like gasoline and diesel produces CO2, SO2, NOx, volatile organic compounds (VOCs), and PM.

Natural Gas:

Natural gas, which primarily consists of methane (CH4), is considered a cleaner-burning fuel compared to coal and oil. It releases lower amounts of CO2, SO2, NOx, VOCs, and PM.

Biofuels:

Biofuels are derived from renewable sources such as plants and agricultural waste. Their environmental impact depends on the specific type of biofuel. For example:

a. Ethanol: Produced from crops like corn or sugarcane, burning ethanol emits CO2 but generally releases fewer pollutants than fossil fuels.

b. Biodiesel: Made from vegetable oils or animal fats, biodiesel produces lower levels of CO2, SO2, and PM compared to petroleum-based diesel.

Renewable Energy Sources:

Renewable energy sources like solar, wind, and hydropower do not produce pollutants during electricity generation. However, the manufacturing, installation, and maintenance of renewable energy infrastructure can have environmental impacts.

It's important to note that the environmental impact of a fuel also depends on factors such as combustion technology, fuel efficiency, and emission control measures. Additionally, advancements in clean technologies and the use of emission controls can help mitigate the environmental impact of burning fuels.

numeria
problems
lifted
Joy
1
لوووو
G. Solue the
following
A load
800 Nis
effort
If
the load is
laced at
a distance
Lo cun from
achat will be the
effort distance ?
Solher load ( l = 8oon
Effort
(e) = 200N
the fularum,​

numeriaproblemsliftedJoy1G. Solue thefollowingA load800 NiseffortIfthe load islaced ata distanceLo cun

Answers

Answer:

\( \boxed{40 \: cm}\)

Explanation:

Load ( L ) = 800 N

Effort ( E ) = 200 N

Load distance ( LD ) = 10 cm

Effort distance ( ED ) = ?

now, Let's find the effort distance:

\( \mathsf{L \times LD = E \times ED}\)

Plug the values

\( \mathsf{800 \times 10 = 200 \times ED}\)

Multiply the numbers

\( \mathsf{8000 = 200 \: ED}\)

Swipe the sides of the equation

\( \mathsf{200 \: ED = 8000}\)

Divide both sides of the equation by 200

\( \mathsf{ \frac{200 \: ED }{200} = \frac{8000}{200} }\)

Calculate

\( \mathsf{ED \: = \: 40 \: cm}\)

Hope I helped!

Best regards!

1. Given that an audio signal is sampled at a rate of 1024 Hz,
find the file size of such audio file of stereo type but radio
quality with a duration of 1 minute.

Answers

The formula to calculate the file size of an audio file is: File size = sample rate x bit depth x number of channels x duration in seconds.

Given that an audio signal is sampled at a rate of 1024 Hz, we can calculate the file size of such an audio file with the formula above. For a stereo type audio file, we have 2 channels. Radio quality audio files typically have a bit depth of 16 bits.

To calculate the duration in seconds for a 1 minute audio file, we have to multiply 1 minute by 60 seconds, which is equal to 60 x 1 = 60 seconds. File size = 1024 x 16 x 2 x 60 = 1,572,864 bits or 196,608 bytesTherefore, the file size of a stereo type but radio quality audio file with a duration of 1 minute and sampled at a rate of 1024 Hz is 1,572,864 bits or 196,608 bytes.

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If a cheetah can maintain a constant speed of 5.00 m/s, how far does it travel in 1.00 minute?

Answers

Answer: 300 m/m

Explanation: 5.00 m/s • 60 =300/m/m

if the rank of a is r, then occurs as an eigenvalue of a with multiplicity r.

Answers

If λ occurs as an eigenvalue of A with multiplicity r, then there are r linearly independent eigenvectors associated with λ, and the geometric multiplicity of λ is equal to r.

Let A be an n × n matrix. An eigenvalue of A is a scalar λ such that there is a nonzero vector x satisfying the equation Ax = λx. This equation can be rewritten as the linear system (A − λI)x = 0, where I is the identity matrix. Nontrivial solutions to this equation exist if and only if the matrix A − λI is singular, which means that its determinant is zero. Thus, the eigenvalues of A are the roots of the polynomial equation det(A − λI) = 0, which is called the characteristic equation of A. The algebraic multiplicity of an eigenvalue is the number of times it appears as a root of the characteristic equation. The geometric multiplicity of an eigenvalue is the dimension of the eigenspace associated with that eigenvalue. The eigenspace of an eigenvalue λ is the set of all eigenvectors of A associated with λ, along with the zero vector.

The rank of A is the dimension of its column space, which is the span of its column vectors. The rank of A is equal to the dimension of the row space of A, which is the span of its row vectors. The rank of A is also equal to the number of nonzero singular values of A. If the rank of A is r, then the dimension of the nullspace of A is n − r. If A has r linearly independent eigenvectors associated with a particular eigenvalue λ, then the geometric multiplicity of λ is r. If the algebraic multiplicity of λ is greater than its geometric multiplicity, then there are not enough eigenvectors to form a basis of the eigenspace associated with λ, which means that A is not diagonalizable. If the algebraic multiplicity of λ is equal to its geometric multiplicity, then A is diagonalizable. If λ occurs as an eigenvalue of A with multiplicity r, then there are r linearly independent eigenvectors associated with λ, and the geometric multiplicity of λ is equal to r.

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We think that a star like the Sun lives for about 10 billion years. Using the relationships in your textbook (Chapter 5, "Twinkle, twinkle, little star" and "Stellar ages"), what is the relative luminosity and lifespan of a star that is 10 times more massive? Of a star that is 1/3 as
massive?

Answers

Based on the relationship between a star's mass and its luminosity, as described in Chapter 5 of your textbook, we can determine the relative luminosity and lifespan of stars with different masses compared to the Sun.

For a star that is 10 times more massive than the Sun:

According to the mass-luminosity relationship, more massive stars have higher luminosities. Since the star is 10 times more massive than the Sun, we can assume it will have a greater luminosity. However, without specific data on the exact relationship between mass and luminosity, we cannot determine the precise relative luminosity value. As for its lifespan, more massive stars tend to have shorter lifespans than lower-mass stars. Therefore, we can expect the star that is 10 times more massive than the Sun to have a shorter lifespan compared to the Sun's 10 billion years.

For a star that is 1/3 as massive as the Sun:

Similarly, using the mass-luminosity relationship, less massive stars have lower luminosities. If the star is 1/3 as massive as the Sun, we can expect it to have a lower luminosity compared to the Sun. Again, without specific data, we cannot determine the exact relative luminosity value. Regarding its lifespan, less massive stars typically have longer lifespans. Therefore, we can expect the star that is 1/3 as massive as the Sun to have a longer lifespan compared to the Sun's 10 billion years.

In summary, a star that is 10 times more massive than the Sun would likely have a greater luminosity and a shorter lifespan, while a star that is 1/3 as massive as the Sun would likely have a lower luminosity and a longer lifespan.

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The speed of a sound wave in air is 340 metres per second. The speed of a sound wave in solid concrete is 2950 metres per second
Use ideas about particles to suggest reasons for the difference in speed?

pls help​

Answers

Because solid concrete is stiffer, denser, and typically warmer than air, the speed of sound in solid concrete is faster than in air.

The speed of sound waves in air has been measured to be 340 m s.

The sound wave moves at a 340 m/s pace. D = v • t can be used to calculate the distance, giving a value of 25.5 m. Since 0.150 seconds is the round-trip distance, use 0.075 seconds for the time.

Is 340 metres per second the speed of sound in air?

The speed at which a sound source needs move in the direction of a stationary observer in order to double the apparent frequency. 640 m s - 1.

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Hank, Ryan, Stu, and Ted are each the same mass and are parachuting through the air after having jumped from the same height. Who has transferred the most kinetic energy to his surroundings? A. Ted B. Ryan C. Stu D. Hank

Answers

Answer:

it is hank

Explanation:

Answer:

Hank

Explanation:

i did it in study island

Why is acceleration due to gravity low in the space?

Answers

Answer:

Explanation:

actually , the acceleration due to gravity depends on the distance from it's center of the earth.

when the distance from the earth increases , the acceleration due to gravity decreases as a result . The value of gravity in space is zero.

pls help me!! 100 points!!!

"type a definition for each of the following words in YOUR own words."

1) Constants (also called Controls or Control Variables) –


2) Independent variable –


3) Dependent variable –

Answers

Answer:

1) Constants are variables that are kept the same throughout an experiment.

2) An independent variable is a variable that is manipulated by the experimenter.

3) A dependent variable is a variable that is measured by the experimenter.

Explanation:

. Lin cooked a pot of soup, then put half the soup in the freezer for a while. Now the soup in the pot is hot, and the soup in the freezer is cold. What is the difference between the molecules of the soup in the pot and the molecules of the soup in the freezer

Answers

Answer:

The molecules of the soup in the pot move faster than those in the freezer.

Explanation:

The soup in the freezer is closer to being a solid than that in the pot. Therefore, it has more energy which will make the molecules move faster.

Human diversity means similarities among people. It's each of us in our rich and infinite indistinguishable features. True of false?

Answers

Answer:

False.

Explanation:

Human diversity means differences among people. Therefore, it's each of us in our rich and infinite indistinguishable features; this is basically the fundamental building block of culture. For example, a doctor might enjoy watching football and educational documentary programs while another enjoys listening to music and watching thriller movies.

Culture can be defined as the general way of life of a group of people living together in a particular location or society.

Basically, culture comprises of beliefs, values, behaviors, language, dressing, cuisine, music, symbols, arts, social habits, knowledge, customs, laws pertaining to a particular group of people living together in a society.

This ultimately implies that, culture are acquired and passed from one generation to another.

A cultural trait can be defined as the smallest characteristics of human activity (actions) that is mainly acquired socially and transmitted from one generation to another through various modes of communication. Thus, these unique behavioral informations or characteristics and beliefs acquired by people socially are transmitted from one individual or group of people to another.

Based on the figure, a decrease in _________ could cause the economy to move from point a to point b

Answers

A decrease in production of goods could cause the economy to move from point a to point b.

What cause shifts in economy?

Shifts in the production are due to  many factors that change the output of an economy such as advances in technology, changes in resources, more education or training and changes in the labor force.

So we can conclude that a decrease in production of goods could cause the economy to move from good to poor.

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Explain relation between work and energy

Answers

Answer:

Work is directly proportional to energy.

Explanation:

Work is said to be done when a body is displaced from one position to another. A force is required to make this displacement. This force applied is a kind of energy that is kinetic in nature. So when we displace an object by applying force, we are changing its kinetic energy to do the work.

This clarifies the relation between work and energy as :-

Work Done = Change in Kinetic Energy.

Different between sound wave and water wave

Answers

Water waves shake energy over the surface of the sea, while sound waves thump energy through the body of the air. Sound waves are compression waves. They're also called longitudinal waves because the air vibrates along the same direction as the wave travels.

why are high tides found simultaneously on opposite sides of earth?

Answers

Explanation:

Why are high tides found simultaneously on opposite sides of Earth? The tidal bulges occur on both sides of Earth that are aligned with the tide-generating body. The ocean water experiencing high tide rotates around Earth on a 12-hour cycle.

        Tides are the steady rise and fall of the ocean's waters. The water steadily rises over the beach along shores before falling back again. It is high tide when the water has risen to its highest point and is mostly covering the shore. Low tide is when the water is at its lowest point. There may be tides in some rivers and lakes.

Describe Tidal Features

        In the ocean, tides cause various fascinating features. Additionally, traits unrelated to tidal activity are linked to them.

        When a river empties into the ocean or sea, it causes a tidal bore along the coast. A powerful tide that pushes upstream against the river's current is called a tidal bore. This really is a tidal wave. The Amazon River's massive tidal bore is known as the pororoca. The pororoca is a wave that can reach heights of up to 4 meters (13 feet) and travels at 15 kph (9 mph). The pororoca ascends the Amazon for 10 kilometers (6 miles).

      Also unrelated to actual tides are so-called "red tides." Algal blooms are sometimes known as crimson tides. Sea critters known as algae are very small. In the water, red tides and waves appear when billions of red algae develop.

      Rip tides are not a tidal feature, to sum up. Strong ocean currents known as rip tides flow over the water's surface. From the shore to the wide ocean, a rip tide flows. Surfers can benefit from rip tides since they can use them to avoid having to paddle out to sea. Swimmers can be swept out to sea during rip tides, which makes them extremely dangerous.

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Two coins lie 1.5 meters apart on a table. They carry identical electric charges. Approximately how
large is the charge on each coin if each coin experiences a force of 2.0 N

Answers

I don’t have any of the problem I can get it to my computer for my work

The charge on each coin is equal to \(2.50 \times 10^{-10}\;Coulomb\)

Given the following data:

Force = 2.0 NewtonRadius = 1.5 meters

To determine the charge on each coin, we would apply the law of electrostatic forces:

Mathematically, the law of electrostatic forces is given by the formula:

\(F = \frac{kq_1q_2}{r^2}\)

Note: \(q_1 = q_2\) (since the coin carry identical electric charges).

Therefore, the formula becomes:

\(F = \frac{k(2q)}{r^2}\)

Making q the subject of formula, we have:

\(q=\frac{Fr^2}{2k}\)

Substituting the given parameters into the formula, we have;

\(q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb\)

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11. To become a citizen of the UnitedStates, you mustO A. file a request form in a federal court.B. pass an English and government test.C. be at least 21 years old.O D. have lived in the United States for atleast six months. 4. Identify the sentence that uses capital letters correctly:Dried cloves are a key ingredient in Indian masala chai, or spiced tea.Cloves are native to indonesia, but are also found in madagascar.Clove is a spice derived from a dried Flower bud.O Cloves are used in Incense in Japan and China. 2. Consider the market for fire extinguishers.a. Why might fire extinguishers exhibit positive externalities?b. Draw a graph of the market for fire extinguishers, labeling the demand curve, the social-value curve, the supply curve, and the social-cost curve.c. Indicate the market equilibrium level of output and the efficient level of output. Give an intuitive explanation for why these quantities differ.d. If the external benefit is $10 per extinguisher, describe a government policy that would yield the efficient outcome. when picking a topic for your literary analysis essay Describe the five functions of the news media in a democratic society, including the concept of the marketplace of ideas. And explain what you can do to be an informed voter. Different browsers and even different browser versions will display your web page ________.a. in exactly the same wayb in different waysc only if you buy the browserd only if you use HTML5. which statement below shows two equivalent expressions?A. x + x + x and x to the 3B. 14x + 10 - 2x and 16x + 10C. 12x + 16x and 4(3x + 4x)D. 12x to the 2 + 5x + 10 and 17x to the 2 + 10sorry if this doesnt make any sense. Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0. 4 (i. E. Bernoulli random variable with p = 0. 4). What is the probability that in four tosses, Winston makes exactly two mid-air catches? Round your answer to two decimal places Find the transfer functionG(s)=Y(s)/R(s)for the following state space system where R(s) is the input andY(s)is the output.x=002103014x+500ry=[100]x define a parallel or meridian in a geographic coordinate system. describe where the zero lines occur. 10. Kate and Sophia are selling raffle tickets for a fundraiser.Kate has sold 4 less than twice as many as Sophia.If the two girls have sold a total of 38 tickets,how many has each girl sold? equation and answer 2. Which word group is a sentence fragment?A. Using the new computer animation software.B. Gina created her own short film.C. Methods for making animated movies have changed overnight the years. juliann is 4. if she is like most 4-year-olds, her nave theory of biology will include the belief that How much will net operating income increase (decrease) per month if the monthly advertising budget increases by $8,700 and monthly sales increase by $19,800 Question 47 ptsA community theater uses the functionp(d) = -4d? + 2000 100to model the profit (in dollars) expected in a weekend when the tickets to a comedy showare priced at ddollars each.a. Write and solve an equation to find out the prices at which the theater would earn$1,500 in profit from the comedy show each weekend. Show your reasoning.b. At what price would the theater make the maximum profit, and what is that maximum profit? Show your reasoning. If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other. Rocko paid 12.50 for 25 game tickets. Louisa paid 17.50 for 36 game tickets. What is the constant of proportionality The graph shows the US unemployment rate from 1929 to 1933.Based on the graph, which statement best describes the unemployment rate during the time period?Government policies helped the unemployment rate drop to 5 percent.The unemployment rate soared to 25 percent at its peak. Government inaction led to a 50 percent unemployment rate. The unemployment rate averaged about 15 percent each year. Westford Company produces three products, A1, B3, and C6. Unit data for the threeproducts follows:ProductA1 B3 C6Selling price $84 $56 70Variable costs:Direct materials 24 15 9Labor and other costs 28 27 40Quantity of BT per unit 8 lb. 5 lb. 3 lb.All three products use the same direct material, BT. The demand for the products farexceeds the direct materials available to produce the products. BT costs $3 per pound anda maximum of 5,000 pounds is available each month. Westford must produce a minimumof 200 units of each product.Required:How many units of product A1, B3, and C6 should Westford produce? A sonnet is known for repeating the same two lines throughout its stanzas. True False