A trapeze artist performs an aerial maneuver. While in a tucked position, as shown in figure A, she rotates about her center of mass at a rate of 6.27 rad/s. Her moment of inertia about this axis is 17.9 kg⋅m2. A short time later, the aerialist is in the straight position, as shown in figure B. If the moment of inertia about her center of mass in this position is now 33.1 kg⋅m2, what is her rotational speed in revolutions per minute (rpm)?

A Trapeze Artist Performs An Aerial Maneuver. While In A Tucked Position, As Shown In Figure A, She Rotates

Answers

Answer 1

The rotational speed of the trapeze artist is 32.372 revolutions per second.

In this question we should apply the principle of angular momentum conservation to determine the final angular speed of the trapeze artist, since there are no external forces acting on the trapeze artist:

[tex]I_{A}\cdot \omega_{A} = I_{B}\cdot \omega_{B}[/tex] (1)

Where:

[tex]I_{A}[/tex], [tex]I_{B}[/tex] - Initial and final moments of the trapeze artist, in kilograms-square meter.

[tex]\omega_{A}[/tex], [tex]\omega_{B}[/tex] - Initial and final angular speeds, in radians per second.

If we know that [tex]I_{A} = 17.9\,kg\cdot m^{2}[/tex], [tex]I_{B} = 33.1\,kg\cdot m^{2}[/tex] and [tex]\omega_{A} = 6.27\,\frac{rad}{s}[/tex], then the final angular speed is:

[tex]\omega_{B} = \frac{I_{A}}{I_{B}}\times \omega_{A}[/tex]

[tex]\omega_{B} = \frac{17.9\,kg\cdot m^{3}}{33.1\,kg\cdot m^{2}}\times 6.27\,\frac{rad}{s}[/tex]

[tex]\omega_{B} = 3.390\,\frac{rad}{s}[/tex] ([tex]32.372\,rpm[/tex])

The rotational speed of the trapeze artist is 32.372 revolutions per second.

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Related Questions

I will give brainlist

A spring of spring constant k=500 N/m is elongated from its initial length by a distance x=2 cm, then the force applied by the spring is:

A. F= 3N.

B. F= 10 N.

C. F=500 N.

D. F= 0N.

Answers

Answer:

1.96 kg * m2/s2

Explanation:

I'm assuming that you are asking what is the elastic potential energy stored in the spring at the position stretched by 16.5 cm...

Since you know the spring constant k, 144 N/m and the spring stretch from the equilibrium position x, is 16.5 cm, or 0.165, you find the spring's potential energy from the equation PE = 12kx2, which equals 1.96 Joules, or kg * m2/s2 if you want SI units.

Mga tanong 1. Ano ang nangyari sa lobo? 2. Sa iyong palagay, saan napunta ang pumutok na lobo? 3. Kapag pumutok ang lobo ano ang lalabas? 4. Kung kulay pula ang lobo kulay pula din ba ang hanging lalabas dito? Bakit? ​

Answers

Answer:

1. Pumutok ang Lobo

2.basurahan

3.may kwentong po ba to paano ko masagot ng wala naman akong mababasang kwento :) :) :)

A certain cubed object has a side of 76cm3 and a density of .76g/cm3, what is its mass? *

5776g
57.76g/cm3
100g
0.01

Answers

Mass = density x volume

Mass = 76 x 0.76 = 57.76

Answer: 57.76g/cm3

Answer:

5776

Explanation:

Derive an Equation for the total magnetic field B for a narrow cell​

Answers

Answer:

[tex]{\tiny \tiny \: {\color{limegreen} \color {limegreen}{\tt \tt \tt \tt{✓\: \: Verified \: \: \: answer \: \:}}}} [/tex]

For anyone taking the Velocity and Acceleration Quick Check, Here are the answer.s!

1. Question: Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?

1. Answer: mass and acceleration

2. Question: Which statement makes an accurate comparison of the motions for objects C and D?

2. Answer: Object C has an acceleration that is greater than the acceleration for D.

3. Question: An object has a starting position of 2 m, a starting velocity of 15 m/s, and is moving at a constant speed. Which option shows the final position of the object after 1 s?

3. Answer: 17 m

4. Question: The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?

4. Answer: The velocity is zero.


Hope this helps anyone!!

Answers

Answer:

this is 100% correct

Explanation:

All good if you have 4 questions.

1. Mass and Acceleration

2. Object C has an acceleration that is greater than the acceleration for D.

3. 17 m

4. The velocity is zero.

OR...if you have 5 questions...

1. Mass and Acceleration

2. 4.0

3. Object C has an acceleration that is greater than the acceleration for D.

4. 17 m

5. The velocity is zero.

Hope this helps!

help me please!

The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?(1 point)

A. The velocity is zero.

B. The acceleration is constant and non-zero.

C. The velocity is constant and non-zero.

D. The acceleration is negative.

Answers

Answer:

Explanation:

1.) Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?

ANSWER: mass and acceleration

2.) Use the data table to answer the question. It shows the acceleration of a body when a net force is applied to it.

Net force (N) Mass (kg) Acceleration (m/s2)

5.0 5.0 1.0

10.0 5.0 2.0

20.0 5.0  

Which value would complete the last cell?

ANSWER: 4.0

3.) Which statement makes an accurate comparison of the motions for objects C and D?

ANSWER: Object C has an acceleration that is greater than the acceleration for D.

4.) Use the equation for motion to answer the question.

x=x0+v0t+12at2

An object has a starting position of 2 m, a starting velocity of 15 m/s, and is moving at a constant speed. Which option shows the final position of the object after 1 s?

ANSWER: 17 m

5.) The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?

ANSWER: The velocity is zero.

hope this helps <3

As the graph shows, position over time is a horizontal line and y is not equal to 0 then the velocity is zero. Hence, option A is correct.

What is Acceleration?

Acceleration is the rate at which the speed and orientation of a moving object change over time. When a spot or object moves faster or slower along a straight line, it is said to be accelerated. Even though the speed is constant, motion on a circle accelerates so because the direction is always shifting. Both by and to acceleration for all other types of motion.

It is a vector quantity because it has both magnitude and direction.

If the graph of an object's position over time is a horizontal line also y is not equal to 0 then it means that the velocity is zero, it cannot be constant or non-zero.

Therefore, it concludes that the velocity is zero and option A is correct.

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#SPJ2

How is hydrogen obtained and separated from other nearby substances?
How is Hydrogen used?
What products are made from Hydrogen?
Where might Hydrogen be seen or used in everyday life
Any environmental concerns about the use of Hydrogen?

IF YOU ANSWER ALL I WILL MARK YOU BRAINLIEST AND BE REALLY HAPPY

IF YOU DON'T ANSWER ALL THE QUESTIONS I WILL REPORT
I AM GIVING A LOT OF POINTS FOR THIS, SO I WANT THE BANG FOR MY BUCK

Answers

Answer:

How is hydrogen obtained and separated from other nearby substances?

photoelectrolysis, a photoelectrochemical cell submerged in water uses sunlight to separate the water into hydrogen and oxygen bubbles. In the thermochemical cycle, water is heated to 800 to 1,000 °C, with the molecule. splitting to release hydrogen. The main drawback of this method is that it requires nuclear power

How is Hydrogen used?

Hydrogen can be used in fuel cells to generate electricity, or power and heat. Today, hydrogen is most commonly used in petroleum refining and fertilizer production, while transportation and utilities are emerging markets

What products are made from Hydrogen?

Hydrogen is a very useful element. It is used to make ammonia for fertilizers, refining metals, and methanol for making artificial material like plastics. Hydrogen is also used as a rocket fuel where liquid hydrogen is combined with liquid oxygen to produce a powerful explosion.

Any environmental concerns about the use of Hydrogen?

Emissions of hydrogen lead to increased burdens of methane and ozone and hence to an increase in global warming. Therefore, hydrogen can be considered as an indirect greenhouse gas with the potential to increase global warming.

Si la masa es 15.0 kg y la aceleración es 3.0 m/s^2, halla la fuerza en Newton.​

Answers

By applying Newton's Second Law of Motion, the force acting on the mass is 45.0 Newton.

Given the following data:

Mass = 15.0 kilogramsAcceleration = 3.0 [tex]m/s^2[/tex]

To determine the force acting on the mass in Newton, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the physical object or body, and inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

[tex]Force = mass \times acceleration[/tex]

Substituting the given parameters into the formula, we have;

[tex]Force = 15.0 \times 3.0[/tex]

Force = 45.0 Newton

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One mole (6.02×10^23 atoms) of helium atoms in the gas phase has 3700 J of microscopic kinetic energy at room temperature. Assume that all atoms move with the same speed. The mass of a helium atom is 6.68×10^−27 kg. What is the speed of a helium atom?

Answers

This question involves the concepts of kinetic energy, and rms speed.

The rms speed of helium atom at 5800 K is "1.05 x 10¹⁵ m/s".

We will use the formula of the average kinetic energy of gas molecules to find out the rms speed of the hydrogen atom. rms speed is the root mean square speed of an atom:

[tex]K.E =\frac{1}{2}mv^2\\\\v=\sqrt{\frac{2K.E}{m}}[/tex]

where,

v =rms speed = ?

K.E = Kinetic Energy of Helium atoms = 3700 J

m = mass of hydrogen atom = 6.68 x 10⁻²⁷ kg

Therefore,

[tex]v=\sqrt{\frac{2(3700 J)}{6.68\ x\ 10^{-27}\ kg}}\\[/tex]

v = 1.05 x 10¹⁵ m/s

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What is the melting pont of a champurrado?

Answers

Answer:

Well If the unknown is one of four possible compounds which melt at 102, 104, 106, and 108° C, it is most likely that which melts at 108° C. To summarize, an impure solid melts over a wide range and at a temperature lower than that of the pure solid.

Explanation:

I have known this since grade school

Question 5 (2 points)
How many players are on each team playing on the court in an official game of
basketball?

3

4

5

6

Answers

Answer:

5

Explanation:

searched it up

Why would a train need more than one locomotive? Apply forces and net forces to explain what problems might be solved by adding locomotives to a train.

Answers

The more the number of locomotives in the train the greater the net force supplied to move the train forward.

A train is used for transportation on land. A train consists of a locomotive engine which provides the forward force which the train requires to move from place to place.

The more locomotives, the more power is provided to pull the train forward thereby providing a greater net force that moves the train in the forward direction.

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Heyyy! Okay riddle of the day
no looking up the answers. If you don’t know move on.
Here’s the riddle: what time is it when an elephant sits on a fence?

Answers

Answer:

Time to get a new fence...?

C'mon that's pretty cringe lol

Please give brainliest

have a nice day :D

Calculate that object's net displacement over the time shown.

a. 540 m

b. 2,520 m

c. 2,790 m

d. 5,040 m

Answers

Answer:

c

Explanation:

im sorry if im wrong

mark me as brainlist please thank you

Obtain Center of Mass:

Obtain the center of mass of an axis of a thin wire with a curve defined by [tex]y=f(x)=x^{3/2}[/tex] from x=0 to x=1 and a lineal density of mass of [tex]p(x)=x^{2}[/tex]

Answers

Hi there!

To find the center of mass:

[tex]com = \frac{1}{m}\int\ {rdm}[/tex]

We can begin by changing "dm" into an available quantity by expressing the lineal density as a function:

[tex]\lambda = x^2 = \frac{m}{x}\\\\x^2 = \frac{m}{x}\\\\x^3 = m \\\\[/tex]

Differentiate both sides:

[tex]3x^2dx = dm[/tex]

Let:

[tex]r = f(x) = x^{3/2}[/tex]

Thus:

[tex]com = \frac{1}{m} \int x^{3/2}3x^2dx\\\\com = \frac{1}{m} \int }3x^{7/2}dx\\[/tex]

Evaluate:

[tex]com = \frac{1}{m} \frac{2}{3}x^{9/2}\left \| {{1 \atop {0}} \right.[/tex]

We found 'm' above, so plug the expression in:

[tex]com = \frac{1}{x^3} \frac{2}{3}x^{9/2}\left \| {{1 \atop {0}} \right. \\\\com = \frac{1}{x^3} \frac{2}{3}x^{9/2}\left \| {{1 \atop {0}} \right. \\\\com = \frac{2}{3}x^{3/2}\left \| {{1 \atop {0}} \right. = \boxed{\frac{2}{3}}[/tex]

What is the coefficient of Static Friction if It Takes 44N of force to move A Box that Weight 86N ? A, 0.78 B 0.51. C.0.78N D. 0.51N.
PLEASE AWNSER CORRECT BEFORE I GO TO SCHOOL​

Answers

pic attached !!

hope it helps!!

true or false Air pressure is highest at the bottom of a tornado's funnel?

Answers

Answer:

False. It is typically very low at that point.

Explanation:

The Earth's plates moved over millions of years, bringing continents and other
features of the Earth to their present arrangement.
How is this movement of the lithosphere explained?
continental drift
• the principle of superposition
• the theory of plate tectonics
nuclear fusion

Answers

Answer:

theory of plate tectonics

Explanation:

Answer:

What he said above me

Explanation:

I did the test and it was right

Identify if the verbs signal past, future, or present tense, and drag them to the appropriate box. I walked home. She will walk home. It will open next week. She studied. He made a list. She walks home. They leave the door open. Past Present Future. NO LINKS​

Answers

Answer:PAST she studied

Present: she walks home, they leave the door open, I walked home, he made a list.

Future: It will open next week, she will walk home.

Explation:Its obvious

While surfing the Internet, you encounter an article written by a foreign  blogger saying negative statements and malicious stories about Filipinos. Reading further,  you find at the comments section outraged replies from the Filipino community.  However, you also find citizens who affirmed the negative statements. Knowing that  everyone has the freedom to express his opinion, what do you think are the possible ways  to resolve the issue?While surfing the Internet, you encounter an article written by a foreign  blogger saying negative statements and malicious stories about Filipinos. Reading further,  you find at the comments section outraged replies from the Filipino community.  However, you also find citizens who affirmed the negative statements. Knowing that  everyone has the freedom to express his opinion, what do you think are the possible ways  to resolve the issue?


POSSIBLE SOLUTION 1: _______________________________________________________ _______________________________________________________________________ POSSIBLE SOLUTION 2: _______________________________________________________

__________________________________________________________________________ 
BEST SOLUTION: ____________________________________________________________ ________________________________________________________________________________________________________________________________________________


Answers

The ways to solve this problem is through knowledge dissemination, citizens who were outraged by the article about the negative statements and malicious stories about Filipinos, could submit positive articles about the culture of the Filipino people.

Another way could be through open dialogue, with Filipino internet users, publicly apologizing seeking to become more involved with the Filipino community.

Therefore, the best way to solve the problem is through ethically-based freedom of expression, avoiding stereotypes of a culture you don't belong to, and looking for a way to disseminate respectful and empathetic information about a people.

Learn more here:

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HELP

a car has a displacement of 480 kilometers to the east in 8 hours . What it’s the velocity per hour?

Answers

Answer:

The velocity is 60 km/hr.

Explanation:

Given:

Displacement (d) = 480 km = 48000 m

Time (t) = 8 Hours = 480 minute

Velocity (v) = ?

Now,

Velocity = Displacement ÷ Time

v = d/t

v = 480/8

v = 60 km/hr

Thus, The velocity is 60 km/hr.

-TheUnknownScientist 72

What is Io’s rock cycle

Answers

Answer:

Transitions through geologic time among 3 rock types

Explanation:

how is power defined 1. the rate at which work is completed 2.the quantity of work completed 3.the direction of work 4. the total distance an objetc is moved

Answers

Answer:

1. The rate at which work is completed

Explanation:

Question 5 of 5
What do the arrows in the photograph represent?

Answers

BALANCED FORCES

When two forces acting on an object are equal in size but act in opposite directions, we say that they are balanced forces . a stationary object stays still. ... a moving object continues to move at the same speed and in the same direction.

- BRAINLIEST answerer

Question 13 (2 points)
A mass of 5.00 kg is in a gravitational field of�7.00�N/kg�. What force acts on the mass?
Question 13 options:

35.0 N

0.71 N

1.4 N

9.8 N
Question 14 (2 points)
If you plotted vector arrows around a mass to represent gravitational field vectors, describe how the length of the arrows would change as the locations at which they are drawn become closer to the mass that produces the field.
Question 14 options:

The arrows would become shorter.

The arrows would become longer.

The arrows would remain the same length.

The arrows would become shorter and reverse direction at some distance.
Question 15 (2 points)
What is Kepler's first law of planetary motion?
Question 15 options:

Planets have circular orbits.

Planets have elliptical orbits.

The eccentricity of a planet's orbit is proportional to its distance from the sun.

The period of a planet's orbit is proportional to its distance from the sun.
Question 16 (2 points)
Which of these is correct about the moon's motion around the earth?
Question 16 options:

Centrifugal force acting on the moon balances the force of the earth's gravity.

The moon is in free fall.

There is no gravity acting on the moon because it is in orbit.

The moon exerts no gravitational force on the earth.
Question 17 (2 points)
Which of the following objects do not have gravitational fields?
Question 17 options:

apple

boulder

cat

all objects have gravitational fields
Question 18 (2 points)
Which of the following will generate the largest gravitational field?
Question 18 options:

a paperclip

a dog

a computer

the Earth
Question 19 (2 points)
What happens to the gravitational force between two objects if the distance between them decreases?
Question 19 options:

The gravitational force increases.

The gravitational force decreases.

The gravitational force stays the same.

The gravitational force is not related to the distance.
Question 20 (2 points)
What happens to the gravitational force between two objects if the distance between them increases?
Question 20 options:

The gravitational force increases.

The gravitational force decreases.

The gravitational force stays the same.

The gravitational force is not related to the distance.
Question 21 (2 points)
What happens to the gravitational force between two objects if the mass of both increases?
Question 21 options:

The gravitational force increases.

The gravitational force decreases.

The gravitational force stays the same.

The gravitational force is not related to the distance.
Question 22 (2 points)
What happens to the gravitational force between two objects if the mass of both decreases?
Question 22 options:

The gravitational force increases.

The gravitational force decreases.

The gravitational force stays the same.

The gravitational force is not related to the distance.
Question 23 (2 points)
Which of these is generally considered to have been discovered by Einstein?
Question 23 options:

Mass bends space-time.

Space is empty.

An electric charge produces an electric field around it.

Gravity causes acceleration.
Question 24 (2 points)
Which of the following scientists is not involved with gravitation?
Question 24 options:

Einstein

Kepler

Newton

Curie
Question 25 (2 points)
What type of force is gravitational force?
Question 25 options:

field force

applied force

contact force

Answers

The required answers are stated below:

13. The force acting on the mass can be calculated by:

Force = mass x gravitational field

          = 5.0 x 7.0

          = 35.0 N

The force acting is 35.0 N. Thus, option A.

14. When the location of the arrows become closer to the mass, the arrows would become shorter. Option A.

15. Kepler's first law of planetary motion is: Planets have elliptical orbits. Option B.

16. The correct option is A. Centrifugal force acting on the moon balances the force of the earth's gravity.

17. Considering the given options, all the objects have gravitational fields. Thus option D.

18. The Earth will generate the largest gravitational field. Option D.

19. When the distance between two objects decreases, the gravitational force between them increases. Option A. The gravitational force increases.

20. When the distance between two objects increases, the gravitational force between them decreases. Option B. The gravitational force decreases.

21. When the mass of two objects increases, the gravitational force between them increases. Option A. The gravitational force increases.

22. When the mass of two objects decreases, the gravitational force between them decreases. Option B. The gravitational force decreases.

23. Einstein discovered that: Gravity causes acceleration. Option D

24. The scientist from the given options that is not involved with gravitation is Curie. Option D.

25. Force field is a type of force that do not require contact before it can be felt. Gravitational force is a field force. Option A.

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Imaging playing a game of baseball on the moon, which has less gravity than Earth and no atmosphere. How would you want to change the game to make it play fairly and fun?

Answers

Answer:

In order to reduce the mass of the bat and raise the mass of the ball, the transfer of momentum could only be extended to a distance equal to the size of a baseball stadium. Although the ball's acceleration stays constant regardless of its mass (provided that the mass is less than the mass of the moon), your running time around the bases will be reduced as a result of the increased mass of the ball.

Explanation:

Hope it helps:)

g A small ball is tied to one end of a light 2.5-m wire, and the other end of the wire is hooked to the ceiling. A person pulls the ball to the side until the wire makes an angle of 35° with the plane of the ceiling and then gently releases it. What is the angular speed of the ball, in rad/s, as it swings through its lowest point?

Answers

The angular speed of the ball as it swings through its lowest point is 1.8 rad/s.

The given parameters;

radius of the circular path, r = 2.5 m

angle with the vertical, θ = 35⁰

The angular speed of the ball, as it swings through its lowest point is calculated as follows;

[tex]Tcos \theta = m\omega ^2 r\\\\mgcos \theta = m \omega ^2 r\\\\gcos \theta = \omega ^2 r\\\\\omega ^2 = \frac{gcos \theta }{r} \\\\\omega = \sqrt{\frac{gcos \theta }{r} } \\\\\omega = \sqrt{\frac{9.8 \times cos (35) }{2.5} } \\\\\omega = 1.8 \ rad/s[/tex]

Thus, the angular speed of the ball as it swings through its lowest point is 1.8 rad/s.

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Which statement is correct based on the data in the table?

Answers

I believe it’s B




I’m torn between B and C


What type of reflection would you get from a rough surface?

Answers

Diffuse Reflection.
For a rough surface, reflected light rays scatter in all directions. This is called diffuse reflection. Diffuse reflection is when light hits an object and reflects in lots of different directions. This happens when the surface is rough.

Describe at least two ways to determine whether a relationship is proportional.

Answers

If two different quantities are given, how to check whether the relationship between them is proportional ? We have to get ratio of the two quantities for all the given values. If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.

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what solution has the lowest concentartion of hydrogen ion Please I want sleep I need sleep If you need to keep track of a large number of published or scheduled posts sent to a variety of social accounts, which is the best Hootsuite feature to use Solve the inequality. Graph the solution.5(g+ 4) > 15The solution is harlon recorded this set of data, which contains an outlier. 163, 97, 184, 199, 169, 175 what is the range of this set of data? group of answer choices 97 102 12 172 Fill in the blank with the DOP by attaching it to the end of the second verb Jonathan gets a weekly allowance of $18. He uses his allowance to buy 3 arcade tokens eachweek. Each token costs $2. Jonathan also spends $3 on his movie streaming subscriptioneach week. He puts the rest of his allowance in his college fund.How much money does Jonathan put in his college fund each week? Both transcription and DNA replication produce nucleic acids which are polymers of _________________ (C, G, A, and T or U)Both processes depend on a ___________________ enzyme which adds one ________________ at a time. Find the equation of the linear function represented by the table below in slope-intercept form. Help me out any Spanish learners what is the value of k? show your work5/2(2 -k) = 2(3k -1) -2/3k an environmental factor that influences food choices is: Which prime predictor different crime rates in different communities according to the general strain theory how long did king james the first rule for 4773 rounded to the nearest hundred PLEASE HELP QUICK, WILL GIVE 30 POINTS!!!!!!!!!!!3. Consider the product . -11 (7 6/7)(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?(b) Multiply the integer and mixed number by multiplying fractions. What is the product?Answer: How does a woman being treated as a servant for a man show that equality between men and women is not being promoted?? PLS HELP; Ill give brainliest :) Procedural rights protect people from abuses by which part of the government? the military the state governments the justice system the US Congress. The basic tenet of ________ is: When we feel empathy for another person's plight (circumstances), we will help that person regardless of what we may stand to gain. Why is it important to have an effective research question for an informative essay?It makes editing easier. It provides a list of sources.It gives support for the topic.It helps the writer stay focused.