2. Four metal mugs with lids each contain the same volume of hot water at the same temperature. The mugs are made from the same metal and are the same shape and size, but each has its outside surface painted with a different combination of texture and colour.
Which mug radiates thermal energy at the fastest rate?
A the mug painted shiny white
B the mug painted dull white
C the mug painted shiny black
D the mug painted dull black ​

Answers

Answer 1

Answer:

D. the mug painted dull black


Related Questions

Determine Ax and Ay joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy joint C's reaction force's magnitude in the y direction

Answers

The reaction forces at joint A are Ax = 0 and Ay = 305.5 lb, and the reaction force at joint C is Cy = 278.94 lb.

The truss is in static equilibrium, which means that the sum of all the forces in the x and y directions must be equal to zero.

To find the reaction forces at joints A and C, we can start by writing the equations of static equilibrium for the x and y directions:

Sum of forces in x direction: Ax - Bx = 0

Sum of forces in y direction: Ay + By + Cy - P1 - P2 = 0

We also know that the length of segment AB and BC are both equal to a = 3.30 ft.

Therefore, we can assume that the forces in segment AB and BC are equal and opposite, i.e., Bx = -Ax and By = -Ay - Cy.

Substituting these expressions into the equations of static equilibrium, we get:

Ax - (-Ax) = 0 => Ax = 0

Ay + (-Ay - Cy) + Cy - P1 - P2 = 0 => Ay = (P1 + P2) / 2 = 305.5 lb

By = -Ay - Cy = -305.5 - Cy

To find Cy, we can use the fact that the sum of the moments about joint A must be equal to zero:

Sum of moments about A: Cy × a - P1 × 2a - P2 × a = 0

Substituting the given values, we get:

Cy × 3.30 - 210 × 2 × 3.30 - 401 × 3.30 = 0

Solving for Cy, we get:

Cy = 278.94 lb

Therefore, the reaction forces at joint A are Ax = 0 and Ay = 305.5 lb, and the reaction force at joint C is Cy = 278.94 lb.

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The question is -

As shown, a truss is loaded with forces P = 210 lb and P, = 401 lb and has the dimension a = 3.30 ft L. P2 P1 Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy, joint C's reaction force's magnitude in the y direction.

Determine Ax and Ay joint A's reaction forces' magnitudes in the x and y directions, respectively, and

The mass of a certain man is 250g..
I. What is the weight of the man on earth
ii. What is the weight of the man on the moon
I promise to mark u the brainliest, please help me

Answers

1. 9.8 x 250g = 2,450
2. 1.6 x 250g = 400g

Answer:

2,450

400

Explanation:

Pls brainliest me

why does it hurt more to kick a bowling ball than a soccer ball

Answers

The combination of higher mass and lower elasticity in a bowling ball results in a more painful experience when compared to kicking a soccer ball.

Kicking a bowling ball is more painful than kicking a soccer ball because of the differences in their masses and elasticity. The pain experienced when kicking an object is determined by the transfer of kinetic energy and the interaction between the object and the body.

A bowling ball is much heavier and has a higher mass compared to a soccer ball. When you kick a bowling ball, it has a greater amount of momentum, which is the product of mass and velocity. The higher momentum results in a greater force being exerted on your foot upon impact, leading to a higher level of discomfort or pain.

In addition, the elasticity of the objects plays a role. Soccer balls are designed to be more elastic, allowing them to absorb and distribute the impact force more effectively. This elasticity helps to reduce the amount of force transmitted back to your foot, resulting in less pain. On the other hand, bowling balls are typically less elastic, leading to a greater transfer of force and more discomfort when kicked.

Overall, the combination of higher mass and lower elasticity in a bowling ball results in a more painful experience when compared to kicking a soccer ball.

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A space station rotates, providing 1 g acceleration for its inhabitants. If it is
rotated at twice the rotational speed, what will the acceleration be for them?


NEED ASAP

Answers

Answer:

Hype

Explanation:

Yyrru

A parachute on a racing dragster opens and changes the speed of the car from 93 m/s to 45 m/s in a period of 5.3 seconds. What is the acceleration of the dragster?

Answers

Answer:

\(-9.06\:\mathrm{m/s^2}\)

Explanation:

We can use the following kinematics equation to solve for acceleration:

\(v_f=v_f+at\).

Solving for \(a\):

\(45=93+5.3a,\\-48=5.3a,\\a\approx \boxed{-9.06\mathrm{m/s^2}}\)

*Note: Since acceleration is a vector quantity, it has both magnitude and direction. The negative sign implies that the acceleration is in the opposite direction of the racing dragster's movement.

why length is called a derived physical quantity? ​

Answers

Answer:

Length is called a fundamental quantity because the length of an object does not change.

Explanation:

For example length of the body is a fundamental quantity as it cannot be expressed in terms of other quantity. Those physical quantities, which depend on two or more fundamental quantities or power of a fundamental quantity, are called derived quantities.

What is the use of intrinsic attributes?

Answers

Intrinsic attributes refer to the inherent characteristics or qualities of an object, concept, or entity. These attributes are essential in defining and understanding the nature of something.

The use of intrinsic attributes can vary depending on the context, but here are a few common applications:

1. Classification and categorization: Intrinsic attributes help in categorizing and classifying objects or entities based on their inherent properties. For example, in a product catalog, intrinsic attributes such as size, color, and material are used to classify items into different categories.

2. Descriptive analysis: Intrinsic attributes analyze and describe objects by detailing their characteristics and features. Product reviews use attributes like performance, durability, and design for comprehensive evaluations.

3. Search and retrieval: Intrinsic attributes aid information retrieval by enabling efficient search and filtering. Attributes like author, title, and genre in a book database facilitate specific book searches.

4. Decision making: Intrinsic attributes are often used as factors in decision-making processes. By considering the intrinsic attributes of various options, individuals or systems can make informed choices. For example, when purchasing a car, attributes such as fuel efficiency, safety features, and price are considered to make a decision.

5. Personalization and customization: Intrinsic attributes personalize experiences by tailoring offerings to individual preferences. E-commerce websites utilize attributes like purchase history and preferences for personalized recommendations. Customization based on intrinsic attributes enhances user satisfaction and engagement.

Overall, the use of intrinsic attributes helps in understanding, organizing, and making informed decisions about objects, concepts, or entities by considering their inherent qualities and characteristics.

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differentiate between earthworm and housefly​

Answers

Answer:

Earthworm lives in the soil, eats the soil which has organic matter such as decaying vegetation or leaves and crawls. While housefly lives in dirty places, feeds on faeces and flies.

Hope I get a brainliest answer.

A particle with an initial linear momentum of 2.00 kg-m/s directed along the positive x-axis collides with asecond particle, which has an initial linear momentum of4.00 kg-m/s, directed along the positive y-axis. The finalmomentum of the first particle is 3.00 kg-m/s, directed45.0?Above the positive x-axis. Find the final momen -tum of the second particle.

Answers

Answer:

Explanation:

We shall apply conservation of momentum along x and y axis.

Let the final momentum of second particle be p₁ along x axis and p₂ along y axis.

Considering momentum along x axis

2 + 0 = 3 cos 45 + p₁

p₁ = 2-2.12 = - 0.12 kg m/s

Considering momentum along y axis

4 + 0 = 3 sin 45 + p₂

p₂ = 4-2.12 = 1.88  kg m/s

Final momentum = √ ( p₁² + p₂² )

=√ ( .12² + 1.88² )

= 1.88 approx

Three balls with different masses are shown below.
(picture of beach ball) - 85g
(picture of football) 425g
(picture of baseball) - 149g
If the same amount of kicking force is applied to each ball, which will travel the farthest?
F - They will all travel the same distance because the applied force is the same
G - the baseball because it's the smallest
H - The football because it has the highest mass and was designed for kicking
J - the beach ball because it has the lowest mass
(btw it's a football, not soccer ball)

Answers

Answer:

$10 a g

Explanation:

Answer:

As The mass of the beach ball is having lowest magnitude when compared with the other balls given so when apply the same magnitude of force to all the balls then the beach ball due to its lighternessand also its inertia of rest would not resist the force so much so when you apply the force to this ball it would starts to roll and covers the maximum diatance whwn compared with the other ball only in the condition when same magnitude of force applied.Thats this ball would do more work than the other ball.The mass also influences the velocity carried by the body and also the kinetic energy possessed by the body. More the force applied more the distance it would cover

Hope it helps

Why would you be surprised if hockey puck started moving without being hit? Why would you be surprised if a fast moving
puck suddenly stopped in the middle of the ice without being touched?
Please use scientific explanations.

Answers

Answer:

id be scared because this thing is moving by its self at an alarming rate

Explanation:

As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. this is known as:_____

Answers

As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. this is known as electromagnetic induction.

As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. This process is known as electromagnetic induction, which is a fundamental principle in physics and electrical engineering. It describes the generation of an electric current in a conductor when it is exposed to a changing magnetic field. This phenomenon is the basis for various applications, including generators, transformers, and induction coils. Electromagnetic induction plays a crucial role in the functioning of many electrical devices and is a fundamental concept in the study of electromagnetism.

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3. A 6 kg block moving to the right at 4 m/s collides with and sticks to a stationary block of unknown mass. If the two blocks move off to the right at 3 m/s, what was the mass of the stationary block?

Answers

Answer: 2kg

Explanation:

This problem is a textbook conservation of momentum problem. The intial momentum is equal to the final momentum. For the initial state of each block, only the first one was moving. Then they both combine to move together.

Pi = Pf

with p = mv

(6kg)*(4m/s) = (6kg+xkg)(3m/s)

Let x equal the unknown mass of block 2

24 = 18 + 3x

6 = 3x

x = 2kg

Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel

Answers

Explanation:

a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.

b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.

Answer:

a)

There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.

b)

There are 3 cases where velocity and acceleration are antiparallel.

(i) When both are moving in different direction

   It means :

Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)

(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.

(iii) In case of motion reversal.

Explanation:

The electric potential 1.9 m from a point charge q is 2.6 104 V. What is the value of q?

Answers

Electric potential: According to the question the value of q is 4.84 × 10^(-5) C.

Electric potential, also known as voltage, is a scalar quantity that represents the electric potential energy per unit charge at a given point in an electric field.
Electric potential is a measure of the work done to move a positive test charge from infinity to a specific point in an electric field, divided by the charge. It is expressed in volts (V) and is defined as the amount of electric potential energy per unit charge
To determine the value of q, we can use the formula for electric potential due to a point charge, which is given by V = k * (q / r), where V is the electric potential, k is the Coulomb's constant (approximately 9 × 10^9 Nm^2/C^2), q is the charge, and r is the distance from the charge.
Rearranging the formula to solve for q, we have q = V * r / k.
Plugging in the given values, we get q = (2.6 × 10^4 V) * (1.9 m) / (9 × 10^9 Nm^2/C^2) = 4.84 × 10^(-5) C.
Therefore, the value of q is 4.84 × 10^(-5) C.


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A capacitor is a simple electrical device. It consists of three parts sandwiched tightly together. Two outer layers made of conductors are separated by an insulating middle layer. A simple circuit is made with a capacitor, a wire, and a battery. When fully connected, which of the following occurs?
1. The insulator stops the flow of electricity.

2. One plate becomes positively charged.

3. The net charge on the capacitor remains at zero.

Answers
I only

II only

I, II, and III

I and II only

Answers

A substance that prevents free flow of electrical current is known as an electrical insulator. The electrons in the insulator's atoms are securely bonded and immobile.

Which plate is electrically positive?

Protons are in overabundance on an aluminium plate that is positively charged. A positively charged aluminium plate has a deficiency of electrons when viewed from the perspective of electrons. We might characterise each extra proton as being somewhat dissatisfied in terms of people.

How could a plate get charged up positively?

The other plate develops an imposed positive charge as a result of the electron's electric field, which pulls on the electrons that are in that plate and repels other electrons.

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A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m

3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.

Answers

(a) The initial temperature is 373.95 K.

(b) The final temperature is 546.15 K.

(c) The total internal energy change of the fluid during this process is 515.4 kJ.

(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.

(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.

(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.

(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.

(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.

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Rutherford gold foil experiment showed several new things about the structure of atom.which results support the claim that the atom has a dense, positively charged core? Choose the two statement that apply.

Answers

Answer:

RUTHERFORDS EXPERIMENT

Explanation:

Physicist Ernest Rutherford established the nuclear theory of the atom with his gold-foil experiment. When he shot a beam of alpha particles at a sheet of gold foil, a few of the particles were deflected. He concluded that a tiny, dense nucleus was causing the deflections.

Calculating Force ^F=? air Fballoon=-3 N The action force is the balloon pushing the air out. What is the magnitude of the reaction force of the air pushing on the balloon? IN.​

Answers

According to Newton's third law of motion, the reaction force exerted by the air on the balloon is equal in magnitude but opposite in direction to the action force exerted by the balloon on the air.

Given that the magnitude of the action force (F_balloon) is -3 N, the magnitude of the reaction force (F_air) will also be 3 N. The negative sign indicates that the forces are in opposite directions, but when considering magnitudes, we ignore the negative sign.

Therefore, the magnitude of the reaction force of the air pushing on the balloon is 3 N.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Which form of government shares goods and services equally, and the political power is disturbing among the people?

Answers

Answer:

Socialist

Explanation:

Answer: socialist

Explanation: A socialist form of government is where the goods and services are equally shared, and the political power is distributed among the people.

Grain is pouring into a silo to be stored for later use. Due to the friction between pieces of grain as they rub against each other during the pouring process, one piece of grain picks up a charge of 6.0 E -10 C and another piece of grain picks up a charge of 2.3 E -15 C. What is the electric force between them if the pieces of grain are 2 cm apart?

I know the equation already: in the image below. Can someone show me how to place the information I have into this equation, and how to solve it?

Grain is pouring into a silo to be stored for later use. Due to the friction between pieces of grain

Answers

Answer:

3.11×10¯¹¹ N

Explanation:

From the question given above, the following data were obtained:

Charge 1 (q₁) = 6×10¯¹⁰ C

Charge 2 (q₂) = 2.3×10¯¹⁵ C

Distance apart (d) = 2 cm

Force (F) =?

Next, we shall convert 2 cm to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

2 cm = 2 cm × 1 m / 100 cm

2 cm = 0.02 m

Thus, 2 cm is equivalent to 0.02 m

Finally, we shall determine the electrical force between the two charge as follow:

Charge 1 (q₁) = 6×10¯¹⁰ C

Charge 2 (q₂) = 2.3×10¯¹⁵ C

Distance apart (d) = 0.02 m

Coulomb constant (K) = 9×10⁹ Nm²C¯²

Force (F) =?

F = Kq₁q₂ / d²

F = 9×10⁹ × 6×10¯¹⁰ × 2.3×10¯¹⁵ / 0.02²

F = 1.242×10¯¹⁴ / 0.0004

F = 3.11×10¯¹¹ N

Therefore, the electrical force between the two charge is 3.11×10¯¹¹ N

A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N opposing the motion. Calculate the acceleration of the object.

Answers

Answer:

a = 6.4 [m/s²]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration. In this way, we have the following equation.

∑F = m*a

where:

∑F = sum of forces (horizontal force = 40 [N] and friction force = 8 [N])

m = mass of the block = 5 [kg]

a = acceleration [m/s²]

Now replacing:

\(40-8=5*a\\32 = 5*a\\a=6.4[m/s^{2} ]\)

Note: the sign of the friction force is negative since this force is acting against the movement of the block.

6. I ran 12.2 km in 1.4 hours. Then I ran another 19.3 km uphill in 2.2 hours. What was my average speed?​

Answers

Answer: 8.75 km/hr

Explanation:

Concept to know

Average speed: total distance/total time

-------------------------------------------------------

 total distance/total time

=(12.2+19.3)/(1.4+2.2) ⇔ add the numbers of two time running together

=31.5/3.6 ⇔ simplify

=8.75 km/hr

Hope this helps!! :)

Please let me know if you have any question

A gyroscope slows from an initial rate of 29.6 rad/s at an angular acceleration of 0.54 rad/s2. 50% Part (a) How long does it take to come to rest in seconds? t = ?
50% Part (b) How many revolutions does it make before stopping? n= ?

Answers

The gyroscope slows from an initial rate of 29.6 rad/s at an angular acceleration of 0.54 rad/s2.

Part (a) How long does it take to come to rest in seconds? t = ?

The angular deceleration is given by the negative value of the angular acceleration; thus:

α = -0.54 rad/s2

The initial velocity is given by the value,

ω1 = 29.6 rad/s.

The final velocity, ω2 = 0 rad/s.

The formula for angular acceleration is:

ω2 = ω1 + αt,

where:

ω1 = 29.6 rad/s

ω2 = 0 rad/s

α = -0.54 rad/s

2t = ?

Substitute the values in the formula above and solve for t.

0 = 29.6 - 0.54tt = 29.6/0.54t = 54.8 seconds

Therefore, it takes 54.8 seconds to come to rest in seconds.

Part (b)The number of revolutions that the gyroscope makes before stopping is given by:

n = (ω1/2π)t,

where:

ω1 = 29.6 rad/s

t = 54.8 s

n = ?

Substitute the values in the formula above and solve for n:

n = (29.6/2π)(54.8) revolutions

n ≈ 277.4

Therefore, the number of revolutions that the gyroscope makes before stopping is approximately 277.4 revolutions.

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A student is cooking macaroni and cheese for dinner. The student places a pot on the stove, boils water in the pot, places noodles in the boiling water, and watches the noodles float and sink in the pot. Explain the types of heat transfer that are occurring as the student cooks the noodles.

Answers

Answer:

Conduction.

Convection.

Radiation.

Convection, because convection causes the tendency of hotter and therefore less dense materials to rise. Conduction, because the heat is being transferred directly from the heated water to he noodles, and radiation, because the heat is being radiated from the burner on the stove to the pot and subsequently heating up the water.

ice core samples are used to measure…

A. Past climates
B. Future climates
C. Future weather
D. Current weather

Answers

ANSWER:

the answer is A

what looks like 21 individual rings around the girls neck is actually 21 turns of a coil of brass. Each turn has circumference of 40cm. Calculate in cm the total length of brass used to make the girls neck ring​

Answers

If each turn of the brass coil has a circumference of 40cm, then the length of one turn is 40cm. Since there are 21 turns in total, we can find the total length of brass used by multiplying the length of one turn by the number of turns:

Total length of brass = length of one turn x number of turns
Total length of brass = 40cm x 21
Total length of brass = 840cm

Therefore, the total length of brass used to make the girl's neck ring is 840cm.

A meteorite enters the Earth's atmosphere and burns up before reaching the Earth itself. The meteorites' kinetic energy stores are transferred to the surroundings as heat, sound and what else? ​

Answers

The meteorites' kinetic energy stores are transferred to the surroundings as heat, sound and light energy.

A meteorite possesses kinetic and potential energy before it enters the Earth's atmosphere. Frictional heating happens when it enters and descends towards the Earth's surface because of collisions with atmospheric molecules, which slows its velocity. As a result, the kinetic energy drops and is changed to heat energy. As potential energy is transformed into kinetic energy, it constantly decreases. Ablation also results in mass loss.

Friction starts to work on the meteorite as it enters the earth's atmosphere. A meteorite will have kinetic energy when it enters the earth's atmosphere. The meteorite catches fire as a result of friction. At this time, the meteorite's kinetic energy will be transformed into heat, sound, and light energy.

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Details The force on a particle is described by 10x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 2.

Answers

Answer:

To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.

The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):

W = ∫(0 to 2) (10x³ - 5) dx

Integrating the force function, we get:

W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2

Now, substituting the upper limit (2) and lower limit (0) into the equation:

W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]

 = [2.5(16) - 10] - [0 - 0]

 = 40 - 10

 = 30

Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.

Explanation:

Show that matrix A is diagonalizable and R an invertible matrix p with entries in that the diagonal matrix D is given by D = P¹ AP 1 6 - 12 -13 30 O -9 20 * use the diagolization method to find A4 1 -1 2 * You Can use without prove. 3 -5 find Such ·001 (£ - (^-^) (A มา -2

Answers

To show that matrix A is diagonalizable, we need to demonstrate that there exists an invertible matrix P such that the diagonal matrix D is given by D = P^(-1)AP, where D represents the eigenvalues of A along its diagonal.

Given the matrix D =

```

1  6

0 -9

```

We can see that the eigenvalues of A are λ₁ = 1 and λ₂ = -9.

To find matrix P, we need to find the corresponding eigenvectors for each eigenvalue. Let's denote the eigenvector for λ₁ as v₁ and the eigenvector for λ₂ as v₂.

For λ₁ = 1, we solve the equation (A - λ₁I)v₁ = 0, where I is the identity matrix:

```

A - λ₁I =

1 -1  2

3 -5  0

(A - λ₁I)v₁ =

1 -1  2

3 -5  0  * v₁ = 0

This system of equations can be solved to find v₁ = [2, 1]ᵀ.

```

For λ₂ = -9, we solve the equation (A - λ₂I)v₂ = 0:

``

A - λ₂I =

1 -1  2

3 -5  0

(A - λ₂I)v₂ =

1 -1  2

3 -5  0  * v₂ = 0

This system of equations can be solved to find v₂ = [-1, 3]ᵀ.

``

Now that we have the eigenvectors v₁ and v₂, we can form matrix P using these vectors as columns:

```

P = [v₁, v₂] =

2 -1

1  3

```

Finally, we can calculate A^4 using the diagonalization method:

```

A^4 = (PDP^(-1))^4 = P D^4 P^(-1)

Since D is a diagonal matrix, we can simply raise each diagonal entry to the fourth power:

D^4 =

1^4  0

 0   (-9)^4

    =

1  0

0  6561

Therefore,

A^4 = P D^4 P^(-1) =

2 -1   *   1  0   *   2 -1

1  3       0  6561       1  3

       =

2 -1   *   2 -1   =   4 -2

1  3       1  3         5  7

```

Thus, A^4 is equal to the matrix

```

4 -2

5  7

```

This is the result obtained using the diagonalization method.

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2.Find the rate of change for the situation. You run 7 miles in one hour and 21 miles in three hours.A. 7 milesB. 3 hoursC. 3 miles per hourD. 7 miles per hour What is 27% of 34? Answer down below Education-based selling is often used by retailers and online companies who post blog content on the internet.TrueFalse consider the line 6x+4y=-5 what is the slope of a line perpendicular to this linewhat is the slope of a line parallel to this line Both the _____ and the _____ theories of personality have been criticized for relying on concepts that are difficult to define operationally. Sobre a unio de resina e esmalte 14 The graph of a linear function has a y-intercept of 5 and passes throughthe point (2,5). What is the slope of the graph of the function?A. 0B. 2/5C. 2.D. 5/2 Write an equation of a hyperbola with the given characteristics.vertices ( 3,7) ; foci ( 5,7) fill in the blanks with correct adjectives (given in brackets) inthe following sentences:1 There is______tea in the glass. (a little, a few]2 Put _______salt .(little, a little3 I did not want to give______remarks.(farther, further)4 They are the______to come here. (latest, last)5 There were_______girls in the school today.(few ,a few)6 ______room was reserved. (Every, Each)7 They showed______ patience ( much, many)8 This house is_______than yours. (Older, oldest)9 Five students were seated on_______bench( every, each)10. I gave her______books. (some, any)11. The teacher taught us_____new lessons (many, much)12 He sold ____ ( all, whole)13 _____person can go (Either, Neither) 14. I accepted_____side. (either, neither) If the relationships below are given in the form (input, output), which pairing always describes a function? Ford has a preferred stock that pays a constant quarterly dividend of $10 per share. How much are you willing to pay for one share if you require a 12% percent rate of return? $83.33 $67.67 $120 $100 Question 19 5 pts The common stock of Pittsburgh Steel Products has a beta of 1.2 and a standard deviation of 18%. The market rate of return is 12% and the risk-free rate is 3%. What is the cost of equity for Pittsburgh Steel Products? 12% 13.8% 14.4% 9.8% Ask user for an Integer input called "limit":* write a for loop to write odd numbers starting from limit down to 1in java language You deposit a $2,000 check in the bank. If the required reserve ratio is 10 percent, thoroughly explain how the banking system will create new money and how much money can potentially be created. (200 word minimum) What is the perimeter, in feet, of the polygon? can any one helP please ??? Write a TEAL paragraph explaining "if the speciation among Anole lizards happened due to Allopatric or sympatric speciation What is the relationship between daylight and nighttime during an equinox? The Big Bang is an example of what type of scientific statement? A. A law B.a hypothesis C. A theory D. An equation What was the primary cause of the Great Depression?Stock Market crashedO Galveston HurricaneTexas ran out of oilO The Dust Bowl How do I grow a mustache and a beard