A 0.59−kg particle has a speed of 5.0 m/s at point A and kinetic energy of 7.6 J at point B. (a) What is its kinetic energy at A ? J (b) What is its speed at point B ? m/s (c) What is the total work done on the particle as it moves from A to B ? J 0.18−kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.4 m. (a) Taking y=0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? ] (b) Taking y=0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? J (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?

Answers

Answer 1

The kinetic energy at point A is 7.375 J, the speed at point B is approximately 5.62 m/s, and the total work done on the particle as it moves from point A to point B is 0.225 J.

(a) To determine the kinetic energy at point A, we can use the formula for kinetic energy:

\(KE = (1/2) * m * v^2\)

Where KE is the kinetic energy, m is the mass of the particle, and v is the velocity. Plugging in the given values, we have

\(KE = (1/2) * 0.59 kg * (5.0 m/s)^2 = 7.375 J.\)

(b) To find the speed at point B, we need to use the formula for kinetic energy:

\(KE = (1/2) * m * v^2\).

Rearranging the formula, we have

\(v = sqrt((2 * KE) / m)\).

Plugging in the given values, we have

\(v = sqrt((2 * 7.6 J) / 0.59 kg) ≈ 5.62 m/s\).

(c) The total work done on the particle as it moves from point A to point B can be calculated using the work-energy theorem. The work done is equal to the change in kinetic energy.

The change in kinetic energy is

\(ΔKE = KE_B - KE_A = 7.6 J - 7.375 J = 0.225 J\).

The gravitational potential energy of the stone-Earth system before the stone is released is approximately 2.1168 J, the gravitational potential energy of the stone-Earth system when the stone reaches the bottom of the well is approximately 9.9712 J and , the change in gravitational potential energy of the system from release to reaching the bottom of the well is approximately 7.8544 J.

(a) The gravitational potential energy of the stone-Earth system before the stone is released can be calculated using the formula

\(PE = m * g * h\),

Where PE is the gravitational potential energy, m is the mass of the stone, g is the acceleration due to gravity, and h is the height.

Plugging in the given values, we have

\(PE = 0.18 kg * 9.8 m/s^2 * 1.2 m = 2.1168 J.\)

(b) The gravitational potential energy of the stone-Earth system when the stone reaches the bottom of the well can be calculated in the same way. The height is the depth of the well (5.4 m). Using the formula

\(PE = m * g * h,\) we have

\(PE = 0.18 kg * 9.8 m/s^2 * 5.4 m = 9.9712 J\).

(c) The change in gravitational potential energy of the system from release to reaching the bottom of the well can be found by subtracting the initial potential energy from the final potential energy.

\(ΔPE = PE_final - PE_initial = 9.9712 J - 2.1168 J = 7.8544 J.\)

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Related Questions

A solenoid with a length of 6.5 cm and 200 loops is carrying 5 A of current. What is the
strength of the magnetic field at the center of the solenoid? Label the north and south pole of
the solenoid.

Answers

The strength of the magnetic field at the center of the solenoid is 0.006 T

Magnetic field calculation.

The strength of the magnetic field at the center of a solenoid is given by:

B = μ₀ * n * I

where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current flowing through the solenoid.

In this case, the length of the solenoid is not given, but we can assume that it is much greater than the diameter of the solenoid, so we can treat it as a long solenoid. The number of turns per unit length is given as 200 loops divided by the length of 6.5 cm, or:

n = 200 / 0.065 m = 3076.92 turns/m

The current flowing through the solenoid is 5 A.

The permeability of free space, μ₀, is a constant with a value of 4π x 10^-7 T m/A.

Therefore, the magnetic field strength at the center of the solenoid is:

B = μ₀ * n * I

= 4π x 10^-7 T m/A * 3076.92 turns/m * 5 A

= 0.006 T

So the strength of the magnetic field at the center of the solenoid is 0.006 T. The north pole of the solenoid is the end from which the magnetic field emerges, and the south pole is the end where it enters.

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The perimeter of the regular hexagon is 624 cm. If the length of one side is 7x - 1,
what is the value of x?

Answers

624 = 6(7x-1)
104=7x-1
105=7x
x= 15cm

A water-balloon launcher with a mass of 1.75 kg is suspended on a wire. It fires a 1.25 kg balloon to the east at a velocity of 12.0 m/s. What is the resulting velocity of the launcher if the net force on the launcher is equal to the reaction force? O A. 6.1 m/s east B. 16.8 m/s west C. 7.6 m/s west D. 8.6 m/s west​

Answers

Answer:

8.6 to west

Explanation:

The initial momentum of the system is given by the sum of the momentum of the launcher and the momentum of the balloon. The correct answer is option C. 7.6 m/s west.

To solve this problem, we can apply the principle of conservation of momentum. According to this principle, the total momentum before an event is equal to the total momentum after the event, assuming no external forces act on the system.

The momentum of an object is calculated by multiplying its mass by its velocity.

Initial momentum = (mass of launcher × velocity of launcher) + (mass of balloon × velocity of balloon)

Let's substitute the given values into the equation:

Initial momentum:

\((1.75 kg * 0 m/s) + (1.25 kg * 12.0 m/s)\)

Initial momentum = 15 kg·m/s

Since the net force on the launcher is equal to the reaction force, we can assume no external forces act on the system. Therefore, the total momentum before firing the balloon is equal to the total momentum after firing the balloon.

Final momentum = (mass of launcher + mass of balloon) × final velocity of the launcher

Let's solve for the final velocity of the launcher:

Final momentum:

\((1.75 kg + 1.25 kg)\) × Final velocity of the launcher

15 kg·m/s = 3 kg × final velocity of the launcher

Dividing both sides of the equation by 3 kg gives us:

The final velocity of the launcher = 15 kg·m/s / 3 kg

The final velocity of the launcher = 5 m/s

Since the initial velocity of the balloon is to the east, the final velocity of the launcher will be to the west. Therefore, the correct answer is option C. 7.6 m/s west.

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Cho q1= 8.10 mũ -8C ; q2 = -8.10 mũ -8C . Đặt tại 2 điểm A và B cách nhau 6cm trong không khí . Xác định lực điện dung dịch lên qo = 8.10 mũ -8C đặt tại : a. CA= 4cm , CB= 10cm b. CA=CB= 5cm c. CA= 6cm , CB= 6cm

Answers

Answer:

‍♂️

Explanation:

‍♂️‍♂️‍♂️

Each sentence describes potential and kinetic energy at various locations on a slide. Complete each statement by selecting the position of the object on the slide.

An object at position
has all kinetic energy.

An object at position
has all potential energy.

An object at position
has about half potential energy and half kinetic energy.

Answers

Answer:

first answer is C,second answer is A, third answer is B

Answer:

c, a, b

Explanation:

Charges of 5c and −9c are at a distance of 1m from each other. which diagram represents the force between the two charges?

Answers

Diagram (c) represents the force between the two charges. Like charges repel, each other, and unlike charges repel each other.

What is electric force?

The electric force between the two charges is directly propotional to the product of the charge and inversly propotional to the square of the distance between them.

The electric force is found as;

\(\rm F = \frac{K q_1q_2}{r^2}\)

Like charges repel, each other, and unlike charges repel each other. Both the charge is of the opposite sign they attract each other.

Hence diagram (c) represents the force between the two charges.

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Two particles, each with charge 52.0nC, are located on the y axis at y=25.0cm and y=-25.0cm. (b) Find the field at x=36.0cm

Answers

The electric field at a point on the x-axis, located at x = 36.0 cm, due to two particles with charges of 52.0 nC each, positioned on the y-axis at y = ±25.0 cm, can result in both magnitude and direction.

To find the electric field at the specified point, we can treat each particle individually and then sum up their contributions. The electric field produced by a point charge can be calculated using the equation E = k * (Q / r^2), where E is the electric field, k is the electrostatic constant (8.99 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance from the charge to the point of interest.

For the particle located at y = 25.0 cm, the distance from the point on the x-axis (x = 36.0 cm) can be calculated as the hypotenuse of a right-angled triangle with sides 36.0 cm and 25.0 cm. Similarly, for the particle located at y = -25.0 cm, the distance is calculated as the hypotenuse of a triangle with sides 36.0 cm and 25.0 cm. Once the distances are determined, we can plug the values into the equation for the electric field and find the magnitude and direction of the field at x = 36.0 cm.

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PLEASE HELP ASAP I'LL GIVE BRAINLY!!

PLEASE HELP ASAP I'LL GIVE BRAINLY!!
PLEASE HELP ASAP I'LL GIVE BRAINLY!!

Answers

Answer:   b or c

Explanation:  on khan academy

Joe throws a ball straight down a 100 m building with a velocity of 5 m/s. How long does it take the ball to reach the ground?

Answers

Answer:20s
To find speed we have to divide speed and distance
5=100/?
100/5=20

maize is a monocotyledonous seed and pea is a dicotyledonous seed why? give short and the suitable answer I will mark you as a brainelist​

Answers

Answer:

A dicot is a flowering plant that has one seed leaves. The monocot plants have a single cotyledon. Maize only has one cotyledon in their seed, so it's a monocot. Seeds having two Cotyles are mainly called a Dicot. A pea is a dicotyledonous plant, the seed (the pea itself) has two halves, cotyledons, hence dicot being 2.

Explanation:

One or more of the cotyledons are the first to appear from a germinating seed. Based on the number of cotyledons, botanists classify flowering plants (angiosperms) into :

a) plants with one embryonic leaf, termed monocotyledonous (monocots).

b) plants with two embryonic leaves, termed dicotyledonous (dicots).

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two charges, q1 and q2, are separated by a certain distance. the ratio of charge q1 to charge q2 is 1:2. what is the ratio of force on q1 to the force on q2?

Answers

Given that the charges are divided in half, 1:2,

According to Newton's third law, every action has a corresponding and opposing response. This means that the force applied by Q1 to Q2 is equal to the force applied by Q2 to Q1. However, these forces will be acting in the opposite manner.

The ratio of the force's magnitude on q1 to its magnitude on q2 is therefore 1:1.

What kind of force is present between q1 and q2?

If charges q1 and q2 have the same sign (both positive or both negative), then the forces acting on each charge are mutually repulsive and point away from one another. One charge is positive and the other is negative, according to the equation.

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1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"

Answers

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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Which is the first step in the fusion process?

Which is the first step in the fusion process?

Answers

Answer:

deuteron

Explanation:

Answer:

C. The Third Picture

Explanation:

EDGE 2021

An electron moves in a circular path of radius 20 cm in a uniform magnetic field of 2 x 10³ T Find the speed of the electron and period of revolution. Mass of electron = 9.1 x 10-31 kg. [Ans: 7.02 x 10 m/sec and 5.6 x 10 rev/sec] ​

Answers

The linear speed of the electron is 7.03 x 10¹³ m/s and the angular speed of the electron is 5.6 x 10¹³ rev/s.

Speed of the electron

The speed of the electron is calculated as follows;

F = ma = mv²/r  ---(1)

F = qvB  ----- (2)

mv²/r = qvB

mv/r = qB

mv = qBr

v = qBr/m

where;

m is mass of the electronB is magnetic fieldr is radius of the circleq is charge of the electron

v = (1.6 x 10⁻¹⁹ x 2 x 10³ x 0.2) / (9.1 x 10⁻³¹)

v = 7.03 x 10¹³ m/s

Angular speed of the electron

ω = v/r

ω = (7.03 x 10¹³ m/s) / (0.2 m) = 3.51 x 10¹⁴ rad/s

ω = 3.51 x 10¹⁴ rad/s  x 1 rev/2π rad

ω = 5.6 x 10¹³ rev/s

Thus, the linear speed of the electron is 7.03 x 10¹³ m/s and the angular speed of the electron is 5.6 x 10¹³ rev/s.

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Name three input components

Answers

Answer:Examples of input devices include keyboards, mouse, scanners, cameras, joysticks, and microphones.

pls mark brainliest

Explanation:

Calculate the Kinetic Energy of a block which is 30 kg . It is moving with a velocity of 20 m/ s to the left.

SHOW FULL WORK ON HOW YOUGOT IT SO I CAN UNDERSTAND AND I WILL GIVE YOU BRAINIST.

Answers

KE=1/2mass time velocity squared so 15kg x 20^2=6000

Answer:6000

Explanation:

Kinetic Energy is the energy an object has owing to its motion. In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2. We use Joules, kilograms, and meters per second as our defaults, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour, millimeters per second, etc.) could certainly be used as well - the calculation is the same regardless.

Encuentra la magnitud y dirección de la suma de los siguientes vectores: A= 7m al noreste B= 12m 50° al oeste del norte

Answers

Pon foto de lo que te muestra así no se puede contestar xd

Please help i will Mark it Brainly

Please help i will Mark it Brainly

Answers

Answer:

2nd one :)

Explanation:

Answer:  the second one

Explanation:

● Two balloons with the same amount of charge repel each other with 0.0648 N
of force when held at a separation distance of 28.2 cm. Determine the
quantity of charge on the balloons. (Use k = 9x10⁹ Nm²/C²)

Answers

The magnitude of the charge that is carried by each of the balloons is 7.6 *10^-7 C.

What is Coulomb's law?

The link between the electric charges of two objects and the force acting between them is described by Coulomb's law, a fundamental principle of electrostatics.

We know that according to the Coulomb's law we can be able to write that;

F = Kq^2/r^2

k is a proportionality constant called Coulomb's constant, which has a value of approximately 9 x 10^9 N·m^2/C^2 in a vacuum.

0.0648 = 9x10⁹ q^2/(0.079524)

q = √0.0648 (0.079524)/9x10⁹

q = 7.6 *10^-7 C

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What are 3 things happened to the alpha particles in Rutherford a experiment

Answers

Answer:(:

Explanation:

discovered alpha and beta rays, and proposed the laws of radioactive decay.

in a chemical equation, where do the products appear

Answers

Answer:

products would appear after the raw materials

Explanation:

raw material + raw material = product (anything deriving from combining two materials)

Electrical conductivity in liquid solutions depends on the presence of free

Answers

Answer:

electrical conductivity in liquid solutions depends on the availability of free ions.

Title: Ohm’s Law using PhET Simulation The fundamental relationship among the three important electrical quantities current, voltage, and resistance was discovered by Georg Simon Ohm. The relationship and the unit of electrical resistance were both named for him to commemorate this contribution to physics. One statement of Ohm’s law is that the current through a resistor is proportional to the voltage across the resistor and inversely proportional to the resistance. In this experiment you will see if Ohm’s law is applicable by generating experimental data using a PhET Simulation:_____________.

Answers

Show us the experiment then

During the rock cycle, cooling magma and lava from igneous rock, heat and pressure cause other rocks to turn into metamorphic rock, and weathered rock on the surface is eventually turned into sedimentary rock. Rocks move through this cycle at different rates, but it can take some rocks several billion years to complete the cycle. Using this information, what is the most likely reason why scientists use models to study the rock cycle?


A. The rock cycle only affects objects that are too small to be observed directly.


B. The rock cycle is only an abstract idea and does not actually occur in nature.


C. The rock cycle no longer occurs on Earth.


D. The rock cycle takes too long to be able to observe it in entirety.

Answers

The answer is A the rock cycle only affects objects that are too small to be observed directly

Answer:

D. The rock cycle takes too long to be able to observe it in entirety.

Explanation: is answer

What questions do you still have about supermassive black holes after watching this Ted Talk? Do you feel that you have a deeper understanding of what they are and why they are important, like was asked of you in the third question? Explain and discuss.

Answers

After watching the Ted Talk, there were still a few questions that I had about supermassive black holes. Firstly, I wanted to know more about the event horizon and what it exactly entails. Although the speaker briefly touched upon this subject, I would have appreciated a more in-depth explanation. Additionally, I would have liked to know more about the role of supermassive black holes in the universe.

While the speaker did mention that these black holes are responsible for the creation of galaxies, I wanted to know more about how this process works and why it is so important.Despite these questions, I do feel that I have a deeper understanding of supermassive black holes and their importance.From the Ted Talk, I learned that supermassive black holes are some of the largest objects in the universe and are essential for the formation of galaxies. I also learned that these black holes are incredibly powerful and have the ability to affect the trajectory of stars and planets.Overall, I think that the Ted Talk did a great job of explaining supermassive black holes in a way that was easy to understand. While there were still a few questions that I had after watching the video, I feel that I now have a better grasp of what supermassive black holes are and why they are so important.

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You use a rope and pulley system with an ideal mechanical advantage of 2.00. How big of an output load can you lift with an input
force of 200 N?

Answers

When two rope segments pull up on the load in the single movable pulley, the optimal mechanical advantage is 2. This sort of pulley does not change the direction of the applied force, but it does increase it by a factor of two.

What is the ideal mechanical advantage?

There are two methods for calculating a pulley system's mechanical advantage.

The mechanical advantage may be calculated simply by counting the number of falls (or active lifting ropes) that are really attached to the load. You may also split the effort distance by the load distance.

Assuming an ideal rope and pulley system with a mechanical advantage of  \(2.00\) , the output load that can be lifted with an input force of \(200 N\) can be calculated using the formula:

Output force = Input force x Mechanical advantage

Where the mechanical advantage is given as \(2.00\)  .

Thus, the output force is:

Output force \(= 200 N \times 2.00 = 400 N\)

Therefore, with an input force of \(200 N\)  , the rope and pulley system can lift an output load of up to \(400 N\) .

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Father drove 176 km in 7 hours. For the first 92 km he spent for 4 hours. What was his average speed for the remaining journey? _____km/h

Answers

Given :

Father drove 176 km in 7 hours.

For the first 92 km he spent for 4 hours.

To Find :

His average speed for the remaining journey .

Solution :

\(v_{avg}=\dfrac{u_1+u_2}{2}\\\\v_{avg}=\dfrac{u_1}{2}+\dfrac{u_2}{2}\\\\\dfrac{176}{7}=\dfrac{92}{4\times 2}+\dfrac{u_2}{2}\\\\\dfrac{u_2}{2}=\dfrac{176}{7}-\dfrac{92}{8}\\\\u_2=13.64\times 2 \ km/h\\\\u_2=27.28\ km/h\)

Therefore , his average speed for the remaining journey is 27.28 km/h .

Hence , this is the required solution .

You do not need to tell a teacher you have downloaded anything as long as it did not save to your computer.
Please select the best answer from the choices provided
T
F

Answers

Answer:

false

Explanation:

E2020

Answer:

false

Explanation:

A red ball is thrown downwards with a large starting velocity. A blue ball is dropped from rest at the same time as the red ball. Which ball will reach the ground first?multiple choicethe blue ballthe red ballboth balls will reach the ground at the same time. It is impossible to determine without the mass of the balls

Answers

Answer:

Both balls will reach the ground at the same time

Explanation:

That is because the acceleration due to gravity of both balls are same.

Please find the density of question 4,6 and 10!Be sure to show all steps!Thank you!

Please find the density of question 4,6 and 10!Be sure to show all steps!Thank you!

Answers

Answer:

Explanation:

4.  Density of water = 1.01g/ml

6:  Mass of silver = 892.5g

8:  Mass of 157.8g  I gave the answer as mass, even though it asked for weight.

Please find the density of question 4,6 and 10!Be sure to show all steps!Thank you!
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The original bacteria kingdom was divided into two separate kingdoms based on analysis of their (fill in the blank) RNA sequences. According to the text, what are the likely causes of precocious puberty? Check all that apply. In Song, which of the following is most clearly an example of a symbol -2 (3x - 5) = - 6x + b All of the citizens in a community take an equal role in local governmentby meeting to debate and vote on every law and political issue. This typeof government is best described as: What is the intent of the Constitution?answersA.to establish a plan of government for the United States.B.to officially purchase the territory of Louisiana from France.C.to establish the independence of the United States.D.to create a clear border between the United States and Canada. where are sensors located on a vehicle equipped with side sonar system? hoagland corp's stock price at the end of last year was $24.50, and its book value per share was $25.00. what was its market/book ratio? hoagland corp's stock price at the end of last year was $24.50, and its book value per share was $25.00. what was its market/book ratio? 0.84 0.96 0.89 0.97 0.98 Hydrogen bonding is --Select one:a. as strong as a covalent bond.b. a type of ionic bond.c. a weak attractive force.d. a strong attractive force. U Question 8 10 pts An object of mass 6.641 kg is on a bathroom scale on the equator of a planet. If the planet was not rotating, the acceleration of gravity would be 2.482 m/s2. However, the planet o refers to knowledge about how language can be used and adjusted to fit different circumstances, such as using different tones while speaking to a teacher versus a classmate O PragmaticsO MorphologyO PhonologyO Encoding what is the possibility of getting 9 heads out of 15 tries, flipping a coin? 18. What are the zeroes of the function? (1 point)y=(x-3)(x + 2)(x-2)O-3, 2, -2O-3, 2, 203, -2, 203, 2, 2 The {{c1::sympathetic}} nervous system retracts the iris, dialating the pupil, while the {{c1::parasympathetic}} nervous system constricts it For each function below, identify and enter the percent rate of change per unit, t. Round to the nearest tenth of a percent.Then use the drop-down menus to classify each as exponential growth or decay. What does Norris depict as being the difference between copy editing and query proofreading?Norris shares something that E. B. White wrote about commas in the New Yorker, "They fall with the precision of knives outlining a body. " What do you think is meant by this metaphorical statement? Explain. Norris gives very specific grammatical rules that she has come upon in her line of work as an editor. Were you familiar with any of the editorial issues that she explained? Which, if any, were you confused by?Norris described herself as being stern in her editorial position. If you were in situations similar to those that Norris was in, do you think you would have handled them similarly or differently? How so?Based on what you learned in this Ted Talk, is the job of copy editor or editor a career that you could see yourself enjoying in the future? Why or why not? A good's demand is given by: P = 817 - 3Q. At P = 12, the point price elasticity is: Enter as a value (round to two decimal places if necessary). Each blank box points to a feature of the Basin and Range (early, middle, and late stage). Correctly identify these features using the provided terms. Drag the appropriate labels to their respective targets. Should you listen to your body when tired? a bread-making factory has the production process shown in the figure below. there are three operations (mixing, baking and packaging) in sequence, but it does not matter which oven is used. the factory is considering purchasing faster equipment to replace one of the existing operations. which operation should be first considered?