Suppose that put options on a stock with strike prices $30 and $35 cost $4 and $7, respectively. How can the options be used to create (a) a bull spread and (b) a bear spread

Renu's present age is 10 years and her mother is 40 years.

Let's take Renu's present age as x years.

And Renu's mother present age as 4x years.

So, after five years,

Renu's age = x+5 years

Renu's mother age = 4x+5 years

According to the question,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

x = 10

Therefore, Renu's present age is 10 years and Renu's mother present age is 40 years.

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To record interest at the effective interest rate on December 31, Agee Technology, Inc. would make a journal entry that includes an interest expense and an increase in the bond liability.

To record interest at the effective interest rate on December 31, Agee Technology, Inc. would make the following journal entry:

Interest Expense XXX

Bond Interest Payable XXX

The interest expense would be calculated using the effective interest rate based on the carrying value of the bonds. The carrying value can be determined by subtracting any discount or adding any premium to the face value of the bonds.

In the statement of cash flows using the direct method, Agee would report cash paid for interest as an operating activity. The amount would be the actual cash paid for interest during the year. Additionally, the issuance of bonds would be reported as a financing activity, representing the inflow of cash from the issuance of the bonds.

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Answer:

Step-by-step explanation:

[tex]\boxed{\bf -19+6x-5=3x}[/tex]

[tex]\sf 6x-19-5=3x[/tex]

[tex]\sf 6x-24=3x[/tex]

[tex]\sf 6x=3x+24[/tex]

[tex]\sf 3x=24[/tex]

[tex]\bf x=8[/tex]

A)

[tex]\boxed{\bf -6x+19-5=3x}[/tex]

B)

[tex]\boxed{\bf -6x-19-5=3x}[/tex]

C)

[tex]\boxed{\bf 6x+19+5=3x}[/tex]

D)

[tex]\boxed{\bf 6x-19-5=3x}[/tex]

Therefore, option D) 6x-19-5=3x is equivalent to -19+6x-5=3x.

✧ ˚  ·   .   ·

Hope this helps!

The value of x is :

x = 8.

Work/Explanation:

We need to isolate the variable, x.

So first I rearrange the terms:

[tex]\pmb{-19+6x-5=3x}[/tex]

[tex]\pmb{6x-3x=5+19}[/tex]

Simplify

[tex]\pmb{3x=24}[/tex]

Divide each side by 3.

[tex]\pmb{x=8}[/tex]

The equation that is equivalent to the given one is D.

The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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Colin is one of the few individuals who would be categorized as being intellectually gifted, typically falling within the top 2-3% of the population.

Intellectual giftedness refers to individuals who demonstrate exceptional intellectual abilities and potential beyond what is considered typical for their age group. It is often assessed through various measures, such as IQ tests and academic achievements. The exact percentage of the population considered intellectually gifted can vary depending on the specific criteria and assessments used.

However, it is generally estimated that gifted individuals represent around 2-3% of the population or even less. These individuals often show advanced cognitive abilities, strong problem-solving skills, and a high capacity for learning and academic achievement.

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If the device needs 3 volts and 1.2 Amp, then the minimum number of AA batteries which are required to power this equipment is 3.

In order to find minimum number of AA batteries needed to power the portable communication-device, we compare voltage and current requirements of device with specifications of AA batteries.

We know that,

AA battery voltage: 1.5 volts

AA battery current: 0.5 Amps

Device voltage requirement: 3 volts

Device current requirement: 1.2 Amps

First, we calculate voltage requirement. Since each AA battery provides 1.5 volts, we calculate how many batteries are needed to reach the desired 3 volts by dividing the device voltage requirement by the battery voltage:

3 volts / 1.5 volts = 2 batteries

So, at least 2-AA batteries are needed to satisfy voltage requirement.

Next, we consider current requirement, each AA battery can provide up to 0.5 Amps, so we check if this is sufficient to meet the device's current requirement of 1.2 Amps.

Since the device requires 1.2 Amps, and each AA battery can provide 0.5 Amps, we can find how many batteries are needed by dividing device current requirement by battery current,

So, (1.2 Amps)/(0.5 Amps) = 2.4 batteries,

We can't have a fraction of a battery, on rounding up to nearest whole number. We need at least 3-AA batteries to satisfy current-requirement.

Therefore, 3 AA batteries are required.

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Given:

A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online. Grocery Options

Store Online Total

Women 23 12 35

Men 22 15 37

Total 45 27 72

Required:

To find the percentage of the people surveyed shop at a local grocery store.

Explanation:

The total number of people is 75.

And the total number of people surveyed shop at a local grocery store is 45.

Now the percentage of the people surveyed shop at a local grocery store is,

Final Answer:

63% of the people surveyed shop at a local grocery store.

Answer:

1) √55 (choice A)

2) square root of 34 (√34)

3) square root of 51 (√51)

Step-by-step explanation:

a^2+b^2=c^2

a^2+3^2=8^2

a^2+9=64

a^2=55

a=√55

a^2+b^2=c^2

3^2+5^2=c^2

9+25=c^2

34=c^2

c=√34

a^2+b^2=c^2

7^2+b^2=10^2

49+b^2=100

b^2=51

b=√51

The annual interest rate from the payday loan company would be 114.4%.

The annual interest rate from a two-week payday loan, the number of periods in a year.

Since there are 52 weeks in a year, the loan term of two weeks corresponds to 26 periods in a year (52 weeks divided by 2 weeks).

The payday loan company charges an interest rate of 4.4 percent for a two-week period. To calculate the annual interest rate, the number of periods in a year:

Annual interest rate = Interest rate per period ×Number of periods in a year

Annual interest rate = 4.4% × 26

Annual interest rate = 114.4%

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False. The statement is not true. The inclusion or exclusion of Investor-State Dispute Settlement (ISDS) provisions in the Free Trade Agreement (FTA) between the United States and Australia does not directly impact Philip Morris USA's decision to establish a subsidiary in Malaysia and sue the Australian government over the Tobacco Plain Packaging Act.

Philip Morris USA, a subsidiary of Philip Morris International, did take legal action against the Australian government over the Tobacco Plain Packaging Act. However, the basis for the lawsuit was not related to the ISDS provisions in the FTA between the US and Australia. Instead, Philip Morris argued that the plain packaging legislation violated its intellectual property rights, specifically the trademark and branding of its tobacco products.

It's important to note that the US-Australia FTA, which came into effect in 2005, did not include an ISDS mechanism. Therefore, the false statement in question incorrectly connects the absence of ISDS in the FTA with Philip Morris USA's decision to file a lawsuit in Malaysia against the Australian government.

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Media that is encoded in machine-readable formats for digital electronic devices is called digital media.

Digital media refers to any type of media content that is stored, transmitted, or accessed in a digital format. It encompasses various forms of media, including text, images, audio, and video, that are encoded and transformed into binary data that can be read and interpreted by computers and other digital devices. Unlike analog media, which represents information in continuous signals, digital media breaks down information into discrete digital bits.

Digital media offers several advantages over traditional analog media. It allows for easier storage, transmission, and manipulation of content, as well as enhanced interactivity and multimedia capabilities. With the rise of digital technology, the consumption and production of digital media have become increasingly prevalent in various industries and sectors, including entertainment, journalism, advertising, education, and communication. Examples of digital media formats include MP3 for audio, JPEG for images, MP4 for video, and PDF for documents.

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Caput succedaneum refers to common benign edema that crosses cranial suture lines and midline that appears on an infant's scalp shortly after birth.

Caput succedaneum is swelling (edema) that affects a newborn's scalp. It most commonly occurs from pressure on the head as the baby moves through the birth canal during a prolonged or difficult vaginal delivery. In caput succedaneum (kuh-PUT sec-seh-DAY-knee-um), fluid builds underneath the scalp, causing swelling.

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The given question is incomplete, so i take similar question

What is swelling that crosses the suture lines on the newborn's head called?

As a real estate agent, best response to the Millers' request to show them homes only in "good" school districts would be to understand their specific criteria and preferences for what they consider a "good" school district.

In order to best assist the Millers, I would initiate a conversation to gather more details about their definition of a "good" school district. This could involve asking questions such as their desired academic standards, extracurricular activities, teacher-to-student ratios, or any other specific factors they consider important in evaluating a school district's quality.

By understanding their specific criteria, I can then utilize my knowledge of the local area, school ratings, and other resources to identify and present homes that are located in school districts that align with their preferences. This personalized approach ensures that the Millers receive targeted options that meet their expectations and maximize their satisfaction with the home-buying process.

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The volume of the sugar cube is changing at a rate of -150 mm³ per minute when the edge length is 10 mm.

Let's denote the edge length of the cube as "x" and the volume of the cube as "V". We are given that the edge length is decreasing at a rate of 0.5 mm per minute.

The volume of a cube can be calculated as V = x³.

To find the rate at which the volume is changing with respect to time (dV/dt), we need to take the derivative of the volume equation with respect to time:

dV/dt = d/dt(x³)

Using the chain rule, we can differentiate the equation with respect to time:

dV/dt = 3x² * dx/dt

We know that dx/dt is -0.5 mm per minute (since the edge length is decreasing at that rate). We also know that the edge length is 10 mm when we want to find the rate of change of the volume.

Plugging in the values:

dV/dt = 3(10²) * (-0.5)

dV/dt = 300 * (-0.5)

dV/dt = -150 mm³/min

Note that the negative sign indicates that the volume is decreasing over time.

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Gerard concluded that triangle with given sides cannot be used as  building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.

In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,

So, the squares of the given sides are :

Square of √95 feet = (√95)² = 95 feet

Square of 8 feet = 8² = 64 feet

Square of √150 feet = (√150)² = 150 feet

We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,

Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.

Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.

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The given question is incomplete, the complete question is

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.

Answer:

5.85

Step-by-step explanation:

Jusy use the calculator

Answer:

Step-by-step explanation:

If you invest $15,000 in the Anderson Balanced mutual fund, you would need to pay $727.50 in commissions, based on the sales load of 4.85 percent.

The sales load is a commission or fee charged by mutual funds for buying or selling shares. In this case, the Anderson Balanced mutual fund charges a sales load of 4.85 percent. To calculate the amount of commission you would need to pay, you can multiply your investment amount by the sales load percentage.

For a $15,000 investment, the commission would be calculated as follows:

$15,000 x 4.85% = $727.50

Therefore, if you invest $15,000 in the Anderson Balanced mutual fund, you would be required to pay $727.50 in commissions, which represents 4.85 percent of your investment amount.

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The area of the base of the hole in this problem is given as follows:

A = 14.52 m².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

In the context of this problem, we have that the diameter is of 4.3 m, hence the radius is given as follows:

r = 2.15.

Hence the area of the circular base is given as follows:

A = π x 2.15²

A = 14.52 m².

The trampoline is given by the image given at the end of the answer.

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Production Milestones is the first milestone in design.

The first playable allows us to get a better idea of the game's look that can be played and tested.

Milestones means control points in the project that help to chart progress. Milestones to the completion of a key deliverable, and it is allowing to the next phase of the work to begin. There are some main stages to the development of games like that planning, production , pre - production and launch and also give to information about the game. This is give to better ideas.  It is supportive of correction in any phase of work. It is also used for payable and get a better idea for improve any game's look.

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The rule that shows how the total operating cost, C, depends on the number of riders, n, can be expressed as follows:

C = a + b * n

In this rule, "a" represents the fixed cost component of operating expenses that does not vary with the number of riders. It includes expenses such as rent, insurance, and administrative costs.

The variable "b" represents the cost per rider, indicating how the operating cost increases or decreases with each additional rider. This variable captures expenses such as fuel, maintenance, and other costs directly related to the number of riders.

By multiplying the cost per rider (b) by the number of riders (n), we calculate the variable portion of the operating cost. Adding this variable cost to the fixed cost (a) gives us the total operating cost (C) for a given number of riders.

It's important to note that the actual values of "a" and "b" would depend on the specific context or business model being considered. These values can be determined through financial analysis and cost estimation techniques specific to the industry or organization.

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Answer:

C

Step-by-step explanation:

If we have some polynomial, P(x), and some real number,r, and the value of P(r)=0

then

[tex]x - r[/tex]

is a factor of of the polynomial.

So since p(5)=0, then

[tex]x - 5[/tex]

is a factor of the polynomial

C

The number 17 in the equation represents the estimated number of accidents per month when there were no  motorists in the program, according to the direct model.

  In the given direct model equation y = -0.0067 x 17, the number 17 represents the y- intercept. In this  environment, the y- intercept refers to the value of y when x( the number of  motorists attending the program on distracted driving) is equal to zero.

Grounded on the given choices, the interpretation that aligns with this  environment is " There were 17 accidents per month when there were no  motorists in the program."

When x( the number of  motorists) is zero, the equation simplifies to y = -0.0067( 0) 17, which results in y =  17. T

his means that at the starting point or when no  motorists were attending the program, the model predicts that there were 17 accidents per month.

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When an I/O output module controls an AC voltage, Interposing relay is used to actually control the load.

An I/O (Input/Output) οutput mοdule is a device used in autοmatiοn and cοntrοl systems tο interface with external devices and cοntrοl οutputs. It is typically part οf a larger system, such as a prοgrammable lοgic cοntrοller (PLC) οr a distributed cοntrοl system (DCS).

The I/O οutput mοdule serves as a bridge between the cοntrοl system and the external devices οr equipment that need tο be cοntrοlled. It receives signals οr cοmmands frοm the cοntrοl system and cοnverts them intο apprοpriate οutput signals that can cοntrοl actuatοrs, mοtοrs, valves, sοlenοids, οr οther devices.

The I/O οutput mοdule may include multiple οutput channels οr pοints, allοwing fοr the cοntrοl οf multiple devices simultaneοusly. It is respοnsible fοr prοviding the necessary vοltage, current, οr οther signals required tο οperate the cοnnected devices.

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The steady state concentration of the non-reactive pollutant in the effluent from the lagoon that overflows into the river is 15 g/m3. However, if the influent concentration is suddenly increased to 150 g/m3, the concentration in the effluent leaving the lagoon after 10 days will be 135 g/m3.

In a completely mixed lagoon, the steady state concentration of the pollutant in the effluent is equal to the influent concentration. Therefore, in this case, the steady state concentration of the non-reactive pollutant in the effluent from the lagoon is 15 g/m3, which is the same as the influent concentration.

When the influent concentration is suddenly increased to 150 g/m3, it takes some time for the lagoon to adjust and reach a new steady state. The time it takes for the lagoon to reach a new steady state is determined by its detention time, which is given as 10 days in this scenario.

After the influent concentration is increased, the concentration in the lagoon will gradually increase over time. After 10 days, the lagoon will reach a new steady state. Since the detention time is 10 days, the effluent leaving the lagoon after this period will have a concentration of 135 g/m3, which is 90% of the new influent concentration of 150 g/m3. This is because, in a completely mixed system, approximately 90% of the pollutant will have left the system after one detention time.

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The probability of selecting a B and then a O without replacement is 1/21

Probability measures the chances of an event occurring from a group of events based on certain conditions.

Given word : OCTOBER

Probability is the ratio of required outcome to the total possible outcomes

Number of B's

P(B) = 1/7

Since selection is done without replacement ; Number of letters left after first selection is 7-1=6

P(O) = 2/6 = 1/3

Hence, the probability of selecting a B and then a O is :

(1/7 × 1/3) = 1/21

Therefore, the probability of selecting a B and then a O is 1/21

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The probability of answering 5 questions correctly on a true-false test with 14 questions when guessing randomly, or P(5), is 0.155 (or 15.5%).

To find P(5), the probability of answering 5 questions correctly on a true-false test with 14 questions when guessing randomly, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * q^(n-x)

Where:

n is the number of trials (14 questions)

x is the number of successful outcomes (5 correct answers)

p is the probability of success (0.5 for random guessing on a true-false test)

q is the probability of failure (1 - p, which is also 0.5 for a true-false test)

Plugging in the values, we have:

P(5) = C(14, 5) * (0.5)^5 * (0.5)^(14-5)

Using the binomial coefficient C(14, 5) = 2002, we calculate:

P(5) = 2002 * (0.5)^5 * (0.5)^9

P(5) = 2002 * 0.5^14

P(5) ≈ 0.155

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It is crucial for pilots to regularly adjust the altimeter setting to ensure accurate altitude readings during flight.

'Pressure' is the term used to describe the thrust (force) applied to a surface per unit area. The ratio of the force to the surface area (over which the force is acting) is another way to describe it.

If a flight is made from an area of high pressure into an area of lower pressure without adjusting the altimeter setting, the altimeter will indicate a higher altitude than the actual altitude.

Altimeters measure altitude, which is the vertical distance above a reference point, typically sea level. However, the altimeter works based on air pressure. As altitude increases, the atmospheric pressure decreases. Altimeters are calibrated to provide accurate readings based on the standard atmospheric pressure at sea level, which is 29.92 inches of mercury (inHg) or 1013.25 hectopascals (hPa).

In areas of high pressure, the atmospheric pressure is greater than the standard pressure at sea level. If an aircraft flies from an area of high pressure into an area of lower pressure without adjusting the altimeter setting, the altimeter will still be calibrated to the higher pressure. As a result, the altimeter will indicate a higher altitude than the actual altitude because it assumes the aircraft is still flying in an area of higher pressure.

To obtain accurate altitude readings, pilots need to adjust the altimeter setting to the local atmospheric pressure. This adjustment is typically done by setting the altimeter to the current reported or measured pressure at the aircraft's location. Pilots can obtain this information from weather reports, air traffic control, or onboard instruments such as a sensitive altimeter.

Failing to adjust the altimeter setting can lead to incorrect altitude indications, which can have safety implications, especially during instrument flight or in proximity to terrain and obstacles. Therefore, it is crucial for pilots to regularly adjust the altimeter setting to ensure accurate altitude readings during flight.

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The correct term for temporary episodes of impaired neurologic functioning caused by inadequate blood flow to a portion of the brain is b. TIAs (transient ischemic attacks).

TIAs are often referred to as "mini-strokes" and are caused by a temporary disruption of blood flow to a specific part of the brain. Unlike a stroke (CVA - cerebral vascular accident) or a heart attack (MI - myocardial infarction), TIAs do not result in permanent brain damage or tissue death. They typically last for a short period, ranging from a few minutes to a few hours, and the symptoms may include sudden weakness or numbness on one side of the body, difficulty speaking or understanding speech, vision problems, and loss of coordination. Although TIAs are temporary and the symptoms usually resolve on their own, they should not be ignored as they can be warning signs of an increased risk of a future stroke. Prompt medical attention is essential to determine the underlying cause of the TIA and to take appropriate measures to reduce the risk of a subsequent stroke.

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a) The mutual inductance οf the pair οf cοils is 6.6 millihenries (mH).

b) Flux thrοugh each turn ≈ 0.286 milliwebers (mWb)

c) The magnitude οf the induced emf in the first cοil is apprοximately 2.34 millivοlts (mV).

To find the mutual inductance (M) οf the pair οf cοils, we can use the equatiοn:

E2 = -M * (dI1/dt)

Given that the induced emf in the secοnd cοil (E2) has a magnitude οf 1.65×10⁻³ V and the current in the first cοil (I1) is decreasing at a rate οf -0.250 A/s, we can substitute these values intο the equatiοn tο sοlve fοr M:

1.65×10⁻³ V = -M * (-0.250 A/s)

Simplifying the equatiοn:

M = (1.65×10⁻³ V) / (0.250 A/s)

M = 6.6×10⁻³ H

Therefοre, the mutual inductance οf the pair οf cοils is 6.6 millihenries (mH).

Part B:

Tο find the flux thrοugh each turn οf the secοnd cοil, we can use the equatiοn:

Φ = M * I1

Given that the secοnd cοil has 23 turns and the current in the first cοil (I1) is 1.25 A, we can substitute these values intο the equatiοn tο calculate the flux:

Flux thrοugh each turn = (M * I1) / Number οf Turns

Flux thrοugh each turn = (6.6×10⁻³ H * 1.25 A) / 23 turns

Flux thrοugh each turn ≈ 0.286 milliwebers (mWb)

Part C:

Tο find the magnitude οf the induced emf in the first cοil when the current in the secοnd cοil increases at a rate οf 0.355 A/s, we can use the equatiοn:

E1 = -M * (dI2/dt)

Substituting the given values:

E1 = -6.6×10⁻³ H * (0.355 A/s)

E1 ≈ -2.34×10⁻³ V

Therefοre, the magnitude οf the induced emf in the first cοil is apprοximately 2.34 millivοlts (mV).

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