A piece of iron rests on top of a piece of wood floating in a bathtub. If the iron is removed from the wood, and kept out of the water, what happens to the water level in the tub?

a. It goes up.
b. It does not change.
c. It goes down.
d. It is impossible to determine from the information given.

Answers

Answer 1

Answer:

It goes down.

The water level remain the same.

Explanation:

This can be explained using Archimedes principle which states that a body fully or partially submerged in a fluid is acted by an upward bouyant force which is equal to the weight of the fluid the body displaced.

The wood will only sink if the weight of the wood is greater than the weight of the fluid the wood displaced, but the weight of the wood is equal to the weight of fluid displaced, therefore the wood will float.

Therefore, the weight of the wood is the same as the weight of the fluid displaced, so the wood will be at the same level as the water.

If the iron is removed, the level of the water goes down because iron weight is bigger than the water displaced and it tends to increase the water level but since it is removed, the water level will decrease.


Related Questions

A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C. ​

Answers

The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.

1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.

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The work-energy theorem states that the change in the kinetic energy of an object is equal to what?

Answers

The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.

Mathematically, it can be expressed as;

ΔKE = W

Where; ΔKE represents the change in kinetic energy of the object,

W represents the net work done on the object.

This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.

This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.

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A child playing by the side of a well is throwing a stone vertically into the well with an initial velocity of 5 m/s. if the stone falls into the water 3 s later, find the height, h, of the point which the stone is thrown from the surface of the water. (g=10 m/s2)
a) 15m
b)30m
c)45m
d)60m

Answers

The height of the well is 30m

We are given that ,

The initial velocity of the stone = u = 5m/s

The stone fall into well in time = t = 3s

The acceleration due to gravity = g = 10 m/s²

To get the height of the stone which is thrown from the surface of the water in the well by equation,

h = ut + 1/2 gt²

Where, u is initial velocity in m/s, h is height in m, t is time in secs, g is acceleration due to gravity which is vertically upward direction i.e. (-10m/s²)

h = (5m/s) (3s) + 1/2 (-10m/s²)(3s)²

h = (15m) - (5m/s²)(9s²)

h = -30 m

Therefore, the height of the stone which is thrown upward is 30 m . And here, we can neglect the negative sign due to height is never be in negative.

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How do nutritional needs change when a person increases their activity level to gain muscle mass?

Answers

When a person increases their activity level to gain muscle mass, their nutritional needs change.

How utritional needs change when a person increases their activity level to gain muscle mass?

The key changes include increasing protein intake to support muscle growth and repair, consuming a slight caloric surplus to provide energy for muscle development, ensuring sufficient carbohydrate intake for fuel, including healthy fats for overall health, staying hydrated, and considering essential micronutrients.

Individual variations exist, so seeking personalized guidance from a professional is recommended.

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After a 2 car crash, one car lost 100 kgm/s worth of momentum. How much momentum did the other car gain?
A. 50 kgm/s
B. Not enough info
C. -100 kgm/s
D. 100 kgm/s

Answers

D. 100 kgm/s

What happens to momentum after a collision?

When two objects collide the total momentum before the collision is equal to the total momentum after the collision in the absence of external forces.

This is the law of conservation of momentum. .

The law states that when two objects collide in a closed system, the total momentum of the two objects before the collision is the same as the total momentum of the two objects after the collision.

The momentum of each object may change, but the total momentum must remain the same.

According to the question,

After a 2 car crash, one car lost 100 kgm/s worth of momentum.

Therefore , as per law of conservation of moment , after collision of 2 car total momentum must remain the same.

i.e. 100 kgm/s

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You are playing in a volley ball game Your team has 12 and the other team has 18. 
How many points does your team needs to win?
How many points does the other team needs to win?

Answers

Answer:

you need 7 points and the other team just needs to stop you from scoring

Explanation:

You will need 7 to beat them

A force of 825 N is needed to push a car across a lot. Two students push the car by a distance of 35 m. The work done by each student on the car is nearly

Answers

The work done by each of the student is 14,437.5 J (joules)

How the solution was arrived at

The work done by each student on the car can be calculated using the formula:

work = force x distance

Since both students are pushing the car together, we can divide the force by 2 to find the force exerted by each student:

force per student = 825 N / 2 = 412.5 N

Then we can use this force and the distance to find the work done by each student:

work per student = force per student x distance = 412.5 N x 35 m = 14,437.5 J (joules)

A force is a push or pull exerted on an object that results in a change in its motion. Forces can cause an object to speed up, slow down, change direction, or remain in motion. The unit of force in the International System of Units (SI) is the newton (N). Examples of forces include gravitational force, friction, tension, and air resistance.

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A 0.360-m-long metal bar is pulled to the left by an applied force F. The bar rides on parallel metal rails connected through a 45.0 ohm resistor, as shown in the diagram, so the apparatus makes a complete circuit. The circuit is in a uniform 0.650-T magnetic field that is directed out of the plane of the figure. At the instant when the bar is moving to the left at 5.90 m s, (a) is the induced current in the circuit clockwise or counterclockwise and (b) what is the rate at which the applied force is doing work on the bar? ​

Answers

(a) The induced current in the circuit is clockwise.

b. To find the power (P) using P = Fd/t or P = Fv (since d/t = v). Here, F = ILB (from the Lorentz force), so P = (ILB)v.

How to solve

(a) The induced current in the circuit is clockwise.

This can be determined using the right-hand rule.

As the metal bar moves to the left through the magnetic field directed out of the plane, the generated force on the electrons (Lorentz force) will push them toward the top rail, creating a clockwise current.

(b) To find the rate at which the applied force is doing work on the bar, first calculate the induced EMF (ε) using Faraday's law:

induced EMF (ε) using Faraday's law:

ε = BLv

= (0.65 T) * (0.36 m) * (5.9 m/s)

= 1.389 Tm²/s

= 1.389 V (since 1 Tm²/s = 1 V)

induced current (I) using Ohm's law:

I = ε/R

= 1.389 V / 45 Ω

= 0.03086 A

force (F) from the Lorentz force law, where F = ILB:

F = ILB

= (0.03086 A) * (0.36 m) * (0.65 T)

= 0.00723 N

Finally, we find the power (P) using P = Fv:

P = Fv

= (0.00723 N) * (5.9 m/s)

= 0.04266 W

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A 0.360-m-long metal bar is pulled to the left by an applied force F. The bar rides on parallel metal

a coach is travelling east wards at 12.6 m/s after 12 second its velocity is 9.5 m/s in the same direction. what is the acceleration and direction of its acceleration?

pls do it with the formula
thx mates :)​

Answers

Initial velocity=u=12.6m/sFinal velocity=9.5m/sTime=t=12sAcceleration be a

\(\\ \rm\longmapsto a=\dfrac{v-u}{t}\)

\(\\ \rm\longmapsto a=\dfrac{12.6-9.5}{12}\)

\(\\ \rm\longmapsto a=\dfrac{3.1}{12}\)

\(\\ \rm\longmapsto \overrightarrow{a}=0.25m/s^2\)

Soccer can be traced back to the early Greeks and Romans.
O True
O False

Answers

Can Soccer be traced back to the early Greeks and Romans

Answer:

O False,

Explanation:

Although the game of soccer has been around for more than 2,000 years, soccer as we know it today is traced back to England. The game was once played in ancient China, Greece, Rome, and Japan but with different rules and variations.

Cold air holds less water than warm air.
True
False

Answers

Answer:

The answer is for your question is :

Explanation:

True

Three objects are brought close to each other, two at a time. When objects A and B are brought together, they attract. When objects B and C are brought together, they repel. From this, we conclude that (a) objects A and C possess charges of the same sign. (b) objects A and C possess charges of opposite sign. (c) all three of the objects possess charges of the same sign. (d) one of the objects is neutral. (e) we need to perform additional experiments to determine information about the charges on the objects.​

Answers

B. Objects A and C possess charges of opposite sign.

Attraction of two objects

The attraction of two objects occurs when the two objects have opposite charges.

Repulsion of two objects

The repulsion of two objects occurs when the two objects have same charges.

Thus, we can conclude that, objects A and C possess charges of opposite sign.

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Formulate a weekly schedule that shows evidence of three different activities beneficial for your muscular system.

Answers

Answer: Formulate a weekly schedule that shows evidence of three different activities beneficial for your muscular system. Activity every day, aerobic exercises for 30 minute three times a week, time to rest and relax, reducing stress, warming up muscles before activity, and eating a healthy diet.

Hope this helps..... Stay safe and have a Merry Christmas!!!!!! :D

Answer:

Formulate a weekly schedule that shows evidence of three different activities beneficial for your muscular system. Activity every day, aerobic exercises for 30 minute three times a week, time to rest and relax, reducing stress, warming up muscles before activity, and eating a healthy diet.

Explanation:

A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?

Answers

Answer:25N/

Explanation:

A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?

what is the physics behind why electric parallel plates move from positive to negative

Answers

The physics behind the movement of electric charges between parallel plates is based on the principles of electrostatics. Electric charges are either positive or negative, and they are affected by electric fields.

Electric fields are created by a difference in electric potential, which is measured in volts. When a voltage is applied to a set of parallel plates, the charges within the plates will be affected by the electric field, and will move in response to it.

What are electric parallel plates?

When a voltage is applied to a set of parallel plates, the positive charges in the plate connected to the positive voltage will be attracted to the negative voltage, while the negative charges in the plate connected to the negative voltage will be attracted to the positive voltage.

The movement of charges between the plates is also affected by the presence of any obstacles or resistances in the electric field, such as resistance in the wire. This can slow down the movement of charges and result in a decrease in the current flowing through the circuit.

In all, the movement of charges between electric parallel plates is the result of the electric field created by a difference in electric potential, and the movement of charges is called drift velocity. The movement is also affected by the presence of resistance.

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eporting results (1) Fifteen measurements of a resistance are quoted here based on approximately 10 repeat measurements. Only three of them obey the five golden rules. Identify the mistakes in the other results. (i) (99.8 ± 0.270) × 103 Ω, (ii) (100±0.3)× 103 Ω, (iii) (100.0±0.3)× 1039, (iv) (100.1 ±0.3) × 103, (v) 97.1 x 103-276Q, (vi) (99.8645 ± 0.2701) × 102 Ω, (vii) 98.6 x 103 ±3 × 10-Q,

Answers

The mistakes in the results include options (v) and (vii) which do not follow the five golden rules for reporting results.

What are the golden rules for reporting results?

The five golden rules for reporting results are:

Always report the uncertainty in the measurement.Report the uncertainty to the same number of decimal places as the measured value.Use the correct units and prefixes.Avoid rounding until the final calculation.Report only the significant figures.

Using these rules, identify the mistakes in the given results as:

(v) 97.1 × 10³ ± 276Ω - The uncertainty is reported to an inappropriate number of significant figures and the units are not consistent.

(vii) 98.6 × 10³ ± 3 × 10^(-Q) - The uncertainty is not reported to the same number of decimal places as the measured value, and the units are not consistent.

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Steve is given extra chores each time he hits his little brother. After a few times of having extra chores given to him, Steve's misbehavior toward his little brother decreases. This is an example of __________

Answers

Steve's misbehavior toward his little brother decreases. This is an example of Positive punishment

What is positive punishment?

Positive punishment is a variation is a  conditioning theory. Its major goal is to minimize future behavior frequency by delivering an unpleasant stimulation after the action has occurred.

Steve is given extra chores each time he hits his little brother. After a few times of having extra chores given to him.

Steve's misbehavior toward his little brother decreases. This is an example of Positive punishment.

Hence positive punishment is the right answer.

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12. A 20-newton cart is lifted up 0.40 meters to the top of a ramp.
What is the amount of potential energy gained by the cart? A

Please show your work and I need it fassst

Answers

Answer:

8 joules

Explanation:

Just did it

Answer:

8 J

Explanation:

Potential energy = mass x gravitational field strength x height

Gravitational field strength is accelerations due to gravity which is 9.8m/s² ( you can round it up and take 10 as well)

Mass = Force ÷ Acceleration

20 ÷ 9.8 = 2.04

Potential energy = 2.04 x 9.8 x 0.40

= 7.99 = 8 J

Each of the boxes starts at rest and is then pulled for 2.0 m across a level, frictionless floor by a rope with the noted force. Which box has the highest final speed

Answers

Answer:

Explanation:

d

Lewis is towing a 1140kg car. His truck pulls with a force of 2880 N, and increases the car's velocity from 0 to 6.4m/s. How long did Lewis apply the force for to achieve this change in velocity?
2.5s
16.2s
8.1 s
9.9 s

Answers

I don’t know please help me please 16.2s

Answer:

2.5 s

Explanation:

F = ma

F = m(v - u/t)

2880 = 1140(6.4/t)

t = 7296/2880

t = 2.53

t ≅ 2.5 s

T/F: Stars die.
True
False

Answers

Answer:

The answer is true

Explanation:

could you brainliest again they said I plagarized when I didn't

Gold is a solid at room temperature and has the basic molecular-level structure illustrated below. The outer electrons of each gold atom carry enough energy that they can move freely between different atoms. Based on this information, it can be inferred that gold would be a good material out of which to make A. shock absorbers in automobile suspension systems. B. circuit components in computer processors. C. sharp cutting tools used to shape other metals. D. structural supports on buildings or bridges.

Answers

Answer: Did you ever find the answer I’m on the same question

Explanation:

Answer:

B

Explanation:

i did it and got it wrong and it told me it was B

If a planet has an angular size of 0.29 degrees, what will be its angular size in arcminutes?

Answers

Answer:

Angular size in arc-minutes = 17.4 arc-minutes

Explanation:

Given:

Angular size = 0.29

Find:

Angular size in arc-minutes

Computation:

1 degree = 60 arc-minutes

So,

0.29 degree = 60 × 0.29 arc-minutes

0.29 degree = 17.4 arc-minutes

Angular size in arc-minutes = 17.4 arc-minutes

A candle is placed in front of a concave mirror as it is shown . State the image characteristics (SALT)

Answers

As a result, the picture behind the mirror is virtual, upright, and enlarged.

What does SALT in concave mirrors stand for?

You will find that the properties of an image (SALT) created in a concave mirror depend on the object's position. A) if the item is larger than C. Size, attitude, and location are all important considerations.

The image will be true, but reversed and much reduced. To obtain a crisp flame image, move the burning candle towards the mirror while moving the screen away from it. The size of the inverted picture grows.

Concave mirrors may create both physical and virtual images. A virtual and enlarged picture is produced when the item gets closer to the mirror. When the item is placed further away from the mirror,.

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A chopper’s speed increases from 35 m/s to 60 m/s in 5 seconds. What is the acceleration of this helicopter?

Answers

A chopper’s speed increases from 35 m/s to 60 m/s in 5 seconds. Therefore, the acceleration of this helicopter is 5m/s².

What do you mean by an acceleration ?

The term an acceleration is the name we supply to any process where the velocity changes.

Therefore, velocity is a speed and a direction, there are only two ways for you to accelerate is change your speed or change your direction or change both.

Given:

Initial speed = 35 m/s

Final speed = 60 m/s

Time = 5 s

v = u + at

60 = 35 + a(5)

60 - 35 = 5a

25 = 5a

a = 5

Thus, the acceleration of this helicopter is 5m/s².

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A ball is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. The ball rises to a height equal to the asteroids radius and then falls.
What forces if any act on the ball while it is traveling up?
A: Only a decreasing gravitational force that acts downward
B: Only a constant gravitational force that acts downward
C: Both a constant gravitational force that acts downward and a decreasing force that acts upward
D: No forces act at all
A: Only a decreasing gravitational force that acts downward

Answers

From Newton's gravitational law, the force between two objects (a planet) is directly proportional to the product of their masses and inversely proportional to the square of their distance apart.

What does gravity mean?

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

What is the name of Newton's law of gravity?

Every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.

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Explain the difference between an element and a compound. Give an example of each in your discussion.​

Answers

Elements are pure substances made up of only one type of atom, while compounds are substances made up of two or more different elements that are chemically bonded together.

The difference between an element and a compound

An element is a pure substance that consists of only one type of atom. Each element has a unique atomic structure and characteristic properties, such as melting point, boiling point, and reactivity. Elements are organized in the periodic table based on their atomic number, which represents the number of protons in the nucleus of an atom.

An example of an element is oxygen (O), which is a gas that makes up about 21% of the Earth's atmosphere. Oxygen is a diatomic element, which means it exists as two atoms that are chemically bonded together. Oxygen has the atomic number 8, which means it has 8 protons in its nucleus.

On the other hand, a compound is a substance that is composed of two or more different elements that are chemically bonded together. The atoms in a compound are held together by chemical bonds, such as covalent or ionic bonds, which give the compound its unique properties

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what hanging mass (in kg) must be placed on the cord to keep the pulley from rotating (see the following figure)? the mass on the frictionless plane is 5.5 kg. the inner radius of the pulley is 20 cm, and the outer radius is 29 cm. (assume the 5.5 kg mass and the hanging mass are only connected to the inner and outer radii, respectively.)

Answers

To prevent the pulley from turning, 1.103 kg of hanging mass must be applied to the cord.

the cord's torque

It is necessary for the torque in the cord caused by the sliding mass to equal the torque caused by the hanging mass in order to prevent the pulley from turning.

These steps are used to compute the torque:

1 = 2, F1r1 = F2r2, m1gsin()r1 = m2gr2, m1sin()r1 = m2r2, and m2 = m1sin()r1/r2, respectively.

where m1 is the sliding mass.

The inner radius of the pulley is r1.

The angle of inclination of the plane, shown by r2, is the pulley's outer radius.

In order to prevent the pulley from rotating, 1.103 kg of hanging mass must be applied to the cord.

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Spacecraft instruments measure the radiation from an asteroid, and the data show that the power per unit wavelength peaks at 40 μm. Assuming the asteroid is a blackbody, find its surface temperature.

Answers

The surface temperature of the asteroid, assuming it is a blackbody, is approximately 72.45 K, based on the peak wavelength of 40 μm.

To find the surface temperature of the asteroid, we can use Wien's displacement law, which states that the peak wavelength of radiation emitted by a blackbody is inversely proportional to its temperature. Given that the power per unit wavelength peaks at 40 μm, we can calculate the surface temperature of the asteroid.

1. According to Wien's displacement law, the peak wavelength (λ) is related to the temperature (T) by the equation: λ_max = (b / T), where b is Wien's displacement constant equal to 2898 μm·K.

2. We are given that the peak wavelength is 40 μm. Substituting this value into the equation, we have: 40 μm = (2898 μm·K / T).

3. Rearranging the equation, we find: T = (2898 μm·K) / (40 μm).

4. Calculating the values, we get: T = 72.45 K.

Therefore, the surface temperature of the asteroid, assuming it is a blackbody, is approximately 72.45 K.

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Using a simple model of an electromagnet, describe the factors that increase the magnetic field strength of an electromagnet.(2 points)

Answers

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core

Explanation:

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The following factors affect the strength of an electromagnet; number of turns, wire size, current and the presence of iron core.

What is electromagnet?

This is a type of magnet  in which the magnetic field is produced by an electric current.

Factor affecting electromagnet

The following factors affect the strength of an electromagnet;

Number of turnsWire sizeCurrentPresence of iron core.

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What are the oxidation and reduction half reactions in the following redox reaction: 2Al(s)3Pt(NO3)2 (aq) 3Pt(s) 2Al(NO3)3 (aq) Select all that apply 3+ Al(s) A (aq) 3e A 2+ Pt (aq) 2e Pt(s) B Al (aq) 3e C Alls) 2+ Pt(s) Pt (aq) 2e D Thomas has devised a scheme for splitting up the test and training set. For each row from coordinates : Rows for Stanford students have a 50% chance of being placed in the train set and 50% chance of placed in the test set. . Rows for Berkeley students have a 80% chance of being placed in the train set and 20% chance of placed in the test set.Given that a row is in the test set, what is the probability that it corresponds to a Stanford student? Assign that probability to prob_furd. Hint: Remember that there are 77 Berkeley students and 23 Stanford students in coordinates Hint 2: Thomas' last name is Bayes (15 points) Write down all the whole numbers thatare between 20 and 45andhave a difference of 3 between their digits.I In what way was the rule o fthe mughals under akbar different from that of contemporary european monarchs? What are the steps to compDNA replication When the particular information needed in real estate market analysis does not exist one can try to find a variable to represent the missing data; for example, using data on population to represent households. In this case the data on population is serving as a choose the substance with the highest viscosity:A. C2H4CL2B. CF4C. (CH3CH2)2COD. C6H14E. HOCH2CH2CH2CH2OH The wire A and B are made of copper. Both wwires are inlong but wire A is 1mm thick and wire B is 2mm thick, thespecific resistance isa) more than Ab) more than Bc) same for bothd) cannot compared Which idea guided the development of the Articles of Confederation?A) All the people should be granted the right to vote.B) A strong central government would threaten the rights of the people.C) Only the central government would have the power to levy taxes.D) Most people should rest with the judicial branch. What results in the different angles of the sun during different periods? HELP ASAPPPPPPPP PLSSSS NO LINKS In an oligopolistic market, Select one: O a. one firm is always dominant. O b. products may be standardized or differentiated. C. the four largest firms account for 20 percent or less of total sales. Od. the industry is monopolistically competitive Identify the vertex, axis of symmetry, maximum, or minimum, domain and range of each function. a. y = 2(x - 2)^2 + 5b. f(x) = -(x - 1)^2 + 2 c. g(x) = -(x +4)^2d. y = 1/3(x + 2)^2 - 1 A system being studied is classified as an open system. Transferred out of 1the system is 45 J of energy. The energy is converted to heat, mechanical,and electrical energy. If mechanical energy measured 20 J and electricalenergy measured 5 J, how many joules were converted to heat energy?*5 Joules10 Joules20 Joules25 Joules30 Joules jacob wants to buy a new digital camera for his semester studying abroad, but he knows very little about cameras, having never owned one. as a result, he has begun asking for advice from friends and relatives. in addition, he has talked to salespeople at best buy and has looked at some websites. jacob is engaging in in the contemporary approach to control systems, benefits of continuous monitoring include which one of the following?multiple choicedramatically increased time lagsearly detection of changes in the competitive environment Problems and Applications Q9 Only one firm produces and sells soccer balls in the country of Wiknam, and as our story begins, international trade in soccer balls is prohibited. The following equations describe the monopolist's demand, marginal revenue, total cost, and marginal cost: Demand: P=15-Q Marginal Revenue: MR=15-2Q Total Cost: TC = 3+9+0.90 Marginal Cost: MC=34Q where Q is quantity and P is the price measured in Wiknamian dollarsThe monopolist produces ____ soccer balls and sells them at a price of $____each. The monopolist's profit is $_____ in the case. One day, the King of Wiknam decrees that henceforth there will be free trade-either imports or exports-of soccer balls at the world price of $10. The firm is now a price taker in a competitive market. The domestic production of soccer balls will ______ to soccer balls, and domestic consumption will ____ to _____ soccer balls.Therefore, Wiknam will ____ soccer balls In this case. In our analysis of international trade is _____ than the world price, and the country is an ____. This is because the claim made in Chapter 9 assumed the domestic market was _____. Exercise 23-7 Sales mix LO P3 Childress Company produces three products, K1, S5, and G9. Each product uses the same type of direct material. K1 uses 3.2 pounds of the material, S5 uses 2.8 pounds of the material, and G9 uses 5.2 pounds of the material. Demand for all products is strong, but only 55,000 pounds of material are available. Information about the selling price per unit and variable cost per unit of each product follows. Selling price Variable costs K1 $150.48 98.00 S5 $113.92 89.00 G91 $ 214.40 152.00 Calculate the contribution margin per pound for each of the three products. Orders for which product should be produced and filled first, then second, and then third? (Round your answers to 2 decimal places.) Contribution margin per pound Product K1 Product S5 Product G9 Contribution margin per pound Order in which products should be produced and filled: What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?PLZ HELPP MEEE!! Question 2 (Essay Worth 10 points)(03.03)How does the graph of f(x) = (x + 2)4 + 6 compare to the parent function g(x) = x4?