A person of weight 80 kg jumped off a platform of height 1 m and safely landed on their feet. what is the magnitude of the momentum change during the collision? give answer in si units.

The difference quotient that best approximates the instantaneous rate of change is 1.

Average rate of change is rate at which one value within a function changes in relationship to another. The average rate of change is usually used to determine slope of a graphed function.

Let's explore how to find average rate of change and use linear and nonlinear functions to demonstrate it.

The average rate of change the formula is used to find the slope of a graphed function. To find average rate of change, divide the change in y-values by the change in x-values.

Finding average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.

We can define average rate of change of a function f(x) in interval [a, b] as:

[tex]r=\frac{f_{b}-f_{a} }{b-a}[/tex]

Particularly, if we want to find an approximation of rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are close to x'.

Then if we want to find the instantaneous rate of change of g at x = 0, we need to find the values of a and b really close to zero.

Looking at the table, we can choose:

a = -0.001

b = 0.001

(are two closer ones to zero)

Then rate of the change can be written as:

[tex]f(x)=\frac{g(0.001)-g(-0.001)}{0.001-(-0.001)}=\frac{2.001-1.999}{0.002}=1[/tex]

From that, we can conclude that a good approximation of instantaneous rate of change is 1.

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a. The measurement done by Bill is more precise than Tom. Because all the measurements done by Bill are measured up to mm and which are very close to each other, but for Tom's measurement value measured up to cm.

b. The measurement done by Tom is more accurate than Bill's measurement. Because the actual scale of meter scale is close to 1.001m, which is off by 1mm, but Bill's meter stick is 1.05m, which have errors in centimeters.

Length is one of the fundamental units in system of measurement. The SI unit of the length is meter. The meter scale is apparatus for measurement of the length of any object. Example: The length of square is 5 meters. Here, 5 is magnitude of the length and meter is the unit of length. 1 meter of meter scale is divided into 100 centimeters. Meter scale is used to measure the Length.

Note: The meter scale reading does not change with the temperature and other physical quantities. The scale used for measurement should not be affected by the physical environment, it should be available easily. Thus, to make any device for measurement of physical quantity above criteria should be kept in mind.

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The radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

We know that,

[tex]F_{c}[/tex] = m [tex]V^{2}[/tex] / r

[tex]F_{m}[/tex] = q V B sin θ

where,

[tex]F_{c}[/tex] = Centripetal force

[tex]F_{m}[/tex] = Force due to magnetic field

m = Mass of electron

V = Speed of electron

r = Radius

B = Magnetic field

Given that,

B = 5 * [tex]10^{-5}[/tex] T

V = 3 * [tex]10^{6}[/tex] m / s

[tex]m_{e}[/tex] = 9.1 * [tex]10^{-31}[/tex] kg

[tex]q_{e}[/tex] = - 1.6 * [tex]10^{-19}[/tex] C

Since the electrons move in a plan perpendicular to the magnetic field,

Sin θ = Sin 90° = 1

By using force balance on electron,

[tex]F_{c}[/tex] = [tex]F_{m}[/tex]

m [tex]V^{2}[/tex] / r = [tex]q_{e}[/tex] V B

r = [tex]m_{e}[/tex] V / [tex]q_{e}[/tex] B

r = ( 9.1 * [tex]10^{-31}[/tex] * 3 * [tex]10^{6}[/tex] ) / ( - 1.6 * [tex]10^{-19}[/tex] * 5 * [tex]10^{-5}[/tex] )

r = 0.34

Centripetal force is the force on a body which makes it go in a curved path. It is denoted as [tex]F_{c}[/tex].

Therefore, the radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

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Operating capital - Operating capital refers to that amount of cash required to run day to day working or operation of business .

Total Operating Capital = Total assets (short term + long term)  - current liabilities  

total assets include inventories, accounts receivable , fixed assets etc.

current liabilities include account payables, accrued expenses, income tax accrued interest etc.

NOWC means net operating working capital it is difference between current assets and non interest bearing current liabilities

Current assets include cash accounts receivable and inventories and exclude marketable securities

Non interest bearing current liabilities means amount of money company must pay within a year without own interest.

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Answer:

heliocentrism, a cosmological model in which the Sun is assumed to lie at or near a central point (e.g., of the solar system or of the universe) while the Earth and other bodies revolve around it.

Answer:

See below

Explanation:

It will be 1 PM distance (27km)  + 2 1/2 hrs of 98 km/hr

   =     27   +      2 1/2 * 98 = 272 km west of school

A. Jupiter largest and most massive planet in the solar system

Jupiter has a huge permanent storm that looks like a red spot in images

Jupiter has at least 61 moons orbiting it, some of which are very large

Jupiter located closer to the sun than Kuiper Belt

Jupiter came on fifth number from the sun and the Jupiter is the massive planet present in our solar system. It contains the big storms like great red spot. The surface of the Jupiter is gas made giant but the surface of the Jupiter is not solid, but it may have a solid inner core about the size of Earth.

The Jupiter contain at least 61 moons which orbiting the Jupiter . The life on the Jupiter is impossible because the Jupiter contain very much pressure, it has volatile surface and the temperature of the Jupiter is very hot than that of the earth.

So we can conclude that option A is the right answer.

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The mass percent composition of aluminum is 52.9% in aluminum oxide.

Mass of the aluminum = 3.53 g

Mass of the aluminum oxide = 6.67 g.

The mass percent of a substance is the mass of the substance divided by the mass of the compound into 100.

Aluminum reacts with oxygen to form aluminum oxide.

The overall balanced equation for the reaction is,

[tex]Aluminum + Oxygen→Aluminum \: oxygen[/tex]

[tex]4Al +3O _{2}→2Al _{2}O _{3}[/tex]

The mass percent composition of aluminum in the aluminum oxide is,

[tex]Mass \: percent = \frac{ Mass \: of \: the \: substance}{ Mass \: of \: the \: compound} \times 100 [/tex]

[tex]Mass \: percent = \frac{Mass \: of \: the \: aluminum}{ Mass \: of \: the \: aluminum \: oxide } \times 100[/tex]

[tex]Mass \: percent = \frac{3.53}{6.67 } \times 100 [/tex]

= 52.9 %

Therefore, the mass percent composition of aluminum is 52.9% in aluminum oxide.

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According to the calculation the volume of gold = 115.79ml

density is the mass of the material substance per unit volume. d = M/V, in which d is density, M is weight, and V is volume, is the formula for density.

The formula for calculating density is the weight of such an object multiplied by its volume. The mathematical formula for this is d = m/v, where s t stands for density, m for mass, and v for the volume of the item.

Mass of gold nugget =  2.20 kg

                                  = 2.20 x 1000

                                  = 2200g

Density of a gold = 19 g/cm^3

                            =  19 g /mL

Substituting the value in the formula:

Density = Mass / Volume.

volume = mass / density

volume = 2200 g / 19 g/mL

             = 115.79ml

According to the calculation the volume of gold = 115.79ml

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The number of outcomes in the compliment of the event are 0.54

No of strawberry plants in the field = 259259

No of plants that are ready for picking = 142142

so no of outcomes = 142142/ 259259 = 0.54 outcomes

The area of mathematics that deals with probability is called probability theory.

Probability is a concept that can be interpreted in a variety of ways, but probability theory tackles the idea in a rigorous mathematical way by expressing it through a series of axioms.

Typically, these axioms formalize probability in terms of a probability space, which links a collection of outcomes known as the sample space to a measure taking values between 0 and 1. An event is any defined subset of the sample space.

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Given,

[tex]Ax =26 m/s^{2} \\Ay = 10 m/s^{2}[/tex]

As we know that slope of any line passing from (x,y) point has the slope as  [tex]\frac{y}{x}[/tex]  i.e. Tan [tex]\alpha[/tex]

Vector's Direction can be calculated by [tex]\alpha[/tex] = Tan⁻¹ [tex]\frac{Y}{X}[/tex] ,

where [tex]\alpha[/tex] is the angle with the horizontal X-axis.

therefore,

[tex]\alpha[/tex] = Tan⁻¹ [tex]\frac{10}{26}[/tex]

[tex]\alpha[/tex] = 23.375°

The vector's direction is the angle that the vector makes with the horizontal axis, i.e. with the X-axis. The direction of the vector is given by turning the angle of the vector around its tail to the east counterclockwise.

Therefore, the vector's direction for the given vector is 23.375° from the X-axis i.e. the vector Ax  = 26 m/s2, Ay= 10 m/s2 points towards the North-East direction.

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The Mole fraction of Water in this solution is 0.34

We know that,

Mole Fraction of Water = No. of moles of Water / Total number of moles of the solution

No. of moles = Mass / Molar mass

Given that,

Mass of Water = 11g

Mass of Acetic acid = 72g

Molar mass of Water = 18.015 g/mol

Molar mass of Acetic acid = 60.052 g/mol

No. of moles of Water= 11 / 18.015= 0.611 moles

No. of moles of Acetic acid = 72 / 60.052= 1.199 moles

Total no. of moles = 0.611+ 1.199 = 1.81 moles

Mole fraction of chloroform = 0.611 / 1.81 = 0.338

In a solution containing at least 2 components, the number of moles of one component divided by total number of moles in that solution is called  Mole fraction.

Therefore, the Mole fraction of Water in this solution is 0.34

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In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

The correct option is D.

In mathematics, and much more specifically through the graph theory, a chart is a structure that essentially consists of a set of objects, some of which are paired together to form "related" objects. The related pairs of vertices are known as edges, and the objects are equivalent to mathematical abstractions known as vertices.

Graphs are frequently used to visually represent data relationships. Data that are too numerous or complex to be adequately described in the text and in a smaller amount of space are presented using graphs.

Graphs come in a variety of shapes and sizes, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

As we can see in the graph:

In class limit 96-97 = 3

In class limit 97-98 = 12

Therefore, 3+12 = 15

Approximately 15 women.

In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

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I understand that the question you are looking for is:

This histogram shows body temperatures, in degrees Fahrenheit, for 65 healthy adult women. frequency 40 97 98 99 temperature 100 101 Approximately how many women in the sample have a body temperature lower than 98 degrees Fahrenheit?

A. 45

B. 50

C. 20

D. 15

This system's potential energy changed by 40 J.

Energy = charge * potential difference

=> Energy = (8v)*5

=> Energy = 40 J

Hence the answer is 40 J.

Potential difference, often known as voltage, is equal to the amount of current times the resistance. One Joule, or one Volt, of energy is required for one Coulomb of charge to flow from one place in a circuit to the another.

V=U q, The change in the potential energy of a charge q transported from point A to point B, divided by the charge, is what is used to determine the electric potential difference between points A and B, or VBVA. The joules per coulomb unit of the potential difference is called the volt (V).

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A Nonstick coatings on cooking pans.

B. Putting salt or sand on icy roads.

D Putting chalk on your hands before mountain climbing.

are examples of lowering unwanted friction

We may greatly reduce friction by polishing surfaces or by using a lot of lubricants like oil, water, or grease, but we cannot completely eliminate friction.

Nowadays, low friction coatings are a common form of industrial coating. Because of their low coefficient of friction, these coatings are given this moniker. Low coefficient of friction coatings come in a variety of forms, including PTFE, tungsten disulfide, molybdenum disulfide, etc.

A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.

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A solar eclipse when the moon is at its far end of orbit, leaving a ring of light around the black circle of the moon is called a ring of fire.

When the moon passes in front of the sun and casts a shadow on Earth, there is a solar eclipse. Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.

The North and South Poles are unable to view total solar eclipses. Solar eclipses that are nearly identical occur every 18 years and 11 months. There can be two to five solar eclipses per year, depending on the Sun, Moon, and Earth's geometry. One to two years can pass between complete solar eclipses.

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The weight percentage of sodium carbonate in the mixture is = 67.71%  

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

The total mass throughout grams of all the atoms needed to form a molecule per mole is what makes up the molar mass, also known as the molecular weight. Grams per mole is the unit measuring molar mass.

The interaction between sodium carbonate and hydrochloric acid has the following equation:

Na₂CO₃ + HCl  --> NaCl  + CO₂ + H₂O

The reaction's balanced equation is,

Na₂CO₃ + 2HCl  --> 2NaCl  + CO₂ + H₂O -------(2).

When sodium hydrogen carbonate as well as hydrochloric acid react, the following equation results.

NaCO₃ + HCl  --> NaCl  + CO₂ + H₂O ----------------(3)

The Molar mass :

Na₂CO₃ = 106g/mol

NaCO₃ = 84g/mol

NaCl  = 58.5g/mol

The mass of the mixture is Na₂CO₃/NaCO₃ = 9.540g

The molar masses of the constituent elements that make up the compounds are added to determine the molar weight of the substances. In both chemical equations (2) and (3), the unitary technique is employed to calculate the mass of the mixture based on the number of moles (3).

The mass of the sodium carbonate and sodium bicarbonate is calculated with the help of the mass of NaCl formed by the mixture of  Na₂CO₃/NaCO₃ with HCl.

The mixture has the following percentage of sodium carbonate:

        % of Na₂CO₃ =  [tex]\frac{x \times 106}{9.540} \times 100\\[/tex]

                             [tex]=\frac{0.061 \times 106}{9.540} \times 100[/tex]

                             = (6.46/9.540)*100

                             = 67.71%        

The weight percentage of sodium carbonate in the mixture is = 67.71%      

The mixture has the following percentage of NaHCO3:

        % of NaHCO₃ =  [tex]\frac{y \times 84}{9.540} \times 100[/tex]

                             = [tex]=\frac{0.037 \times 84}{9.540} \times 100[/tex]

                              = (3.108/9.540)*100

                             = 32.57%

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

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I understand that the question you are looking for is:

A mixture of sodium carbonate and sodium hydrogen carbonate is treated with aqueous hydrochloric acid. the unbalanced equations for the resulting's reactions are:

Na2CO3 (s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

NaHCO3(s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

You treat 9.540g of Na2CO3/NaHCO3 mixture with an excess of aqueous HCl and isolate 9.355g of NaCl. What is the weight percent of each substance in the mixture?

Answer: no

Explanation: every action has an equal and opposite reaction

The speed is obtained as 3.3  * 10^9  miles per hour.

There are several units of speed. Let us recall that speed is the ratio of the distance covered to the time taken. The speed of light is given as 3 * 10^8 m/s.

Now we have the speed as warp 1.71 which corresponds to five times the speed of light.

Thus the speed is 5(3 * 10^8 m/s) = 1.5 * 10^9 m/s

To convert from m/s to miles per hour';

1 meter/second = 2.2 miles per hour

1.5 * 10^9 meter/second=  1.5 * 10^9 meter/second * 2.2 miles per hour/1 meter/second

= 3.3  * 10^9  miles per hour

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Answer:

approx  33 ft

Explanation:

 One atmosphere of pressure is added per 33 ft of depth

Water has the maximum specific heat capacity of any fluid.

The amount of heat that one gram of a material needs either absorb or lose in order to alter its temperature by a degree Celsius is known as specific heat. This equates to one caloric, or 4.184 Joules, for water.

Although the hydrogen bonds in water are much too weak to be compared to intra - molecular bonds like covalently or ionic bonds, they are nevertheless strong enough to require a lot of energy to break. Water boils at 100°C for this reason.

Many people believe hydrogen bonding is the cause of water's high specific heat.

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According to the given statement the value of :

a -  [tex]\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}[/tex]

b - θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰

c-[tex]\overrightarrow{\mathrm{B}}=3.00 \hat{\mathrm{i}}+6.00 \hat{\mathrm{j}}[/tex]

In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector.

The component description of  A is just restated to constitute the answer to part (a):

A[tex]_x[/tex] = -3.00 , A[tex]_y[/tex] = 2.00

(a) [tex]\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}[/tex]

(b) [tex]|\overrightarrow{\mathrm{A}}|[/tex] =  √(A[tex]_z[/tex]² + A[tex]_y[/tex]²) = √( (-3.00)² + (2.00)²) = 3.61

θ = tan -1 [tex]\left(\frac{\mathrm{A}_{\mathrm{y}}}{\mathrm{A}_{\mathrm{x}}}\right)[/tex] = tan-1 [tex]\left(\frac{2.00}{-3.00}\right)[/tex] = -33.7⁰

θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰

(c) R[tex]_x[/tex] = 0, R[tex]_y[/tex] = -4.00 and [tex]\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}[/tex]   thus [tex]\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}[/tex]   and

B[tex]_x[/tex] = R[tex]_x[/tex] -A[tex]_x[/tex] = 0-(-3.00) = 3.00,

B[tex]_y[/tex] = R[tex]_y[/tex] - A[tex]_y[/tex] = -4.00-2.00= -6.00

therefore [tex]\overrightarrow{\mathrm{B}}=3.00 \hat{i}+6.00 \hat{j}[/tex].

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The complete question is -

Vector  A  has a negative x component 3.00 units in length and a positive y component 2.00 units in length. (a) Determine an expression for  A in unit-vector notation. (b) Determine the magnitude and direction of  A. (c) What vector  B  when added to  A  gives a resultant vector with no x component and a negative y component 4.00 units in length.

The new moon, if it were visible, when eastern horizon starts at 6 am.

The first bilingual (Chinese and English) community radio show to be broadcast to a local audience in the United Kingdom is called Eastern Horizon. In recent years, it was primarily carried live on Saturdays between midnight and one in the morning on BBC Radio Manchester in Manchester.

The center of the horizon on the front of the planisphere points in the direction of North (0º azimuth). The eastern horizon is on the horizon's right side (90º azimuth), and the western horizon is on the horizon's left (270º azimuth).

The new moon, if it were visible, when eastern horizon starts at 6 am.

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By conversion unit, the length in meters of green light wavelength is 5 x 10¯⁷ m.

We need to know about a conversion unit to solve this problem. Meter is the SI unit for length but there are other units which able to determine the length such as nanometer. The conversion unit of nanometer to meter is

1 nm = 10¯⁹ m

From the question above, we know that the wavelength of green is 500 nanometers. in a meter, we can write as

500 nm = 500 x 10¯⁹ m

500 nm = 5 x 10¯⁷ m

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The large-scale transfer of material downslope under the pull of gravity is called a mass movement, also known as mass wasting, the quick or gradual sinking of the Earth's ground surface in a primarily vertical direction, or bulk movements of soil and rock debris downslopes in reaction to the pull of gravity.

The meaning of a mass movement:

An organized movement is made up of many people, especially those who do not belong to the social elite of a given society, intending to bring about significant changes to the social, economic, or political institutions that already exist.

The mass movement also refers to the downward motion of earth elements caused by gravity. If the stress applied is greater than the capacity of the substance to hold it in place, the earth's materials will detach and migrate. Shear strength is a gauge of an earth material's resistance to being moved.

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The final velocity of block 1 is 2.2m/s and the final velocity of block 2 is 3.4m/s.

Although the terms scalability and elasticity are occasionally used interchangeably, scalability is more commonly used to describe a system's ability to successfully handle an increasing workload, while elasticity implies that the system is also capable of rapidly expanding or decreasing capacity and services. The capacity of an IT environment to grow and shrink in response to business requirements is one of its characteristics. Physics defines resilience as a material's ability to absorb energy and react elastically in order to maintain its integrity and avoid deforming as a result of the pressures it is subjected to.

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The acceleration of this item will remain constant if I double the force and double the mass.

The rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.

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Here the total time of flight is used to determine how long it will take the ball. it takes 5s to the ball to hit the ground.

u = 25 m/s

h= 1.90 m

so tine of ascent = v= u + at

so u = gt so we have t =u/g

putting up the values we have,

t = 2.5 s

so total time of flight = 5s = time taken by the ball to hit the ground.

An object is said to be in free fall if there are no external forces acting on it other than gravity, which has the determined constant value of g = -9.8 m/s2. The object’s height, or h, is equal to ½ gravity times the square of the falling time. Horizontal projectile motion equations

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Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure.  Yes, the following statement is true.

Ernest Rutherford is considered one of the greatest scientists and experimentalists who worked on the atomic model and is also known for his contribution to nuclear physics.

he discovered that an atom is composed of three fundamental particles i.e. electrons, protons, and neutrons.

Most of the spaces are empty in an atom while its all mass is confined in a dense positively charged area called the nucleus.

Moreover, he also discovered alpha and beta radiations emitting from uranium.

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