A cylinder with a torque of 75.0 N
m rotates with an
angular acceleration of 8.5 rad s².
Calculate the
moment of inertia of the cylinder.

Answers

Answer 1

The Moment of inertia of the cylinder is equal to 8.82 Kgm².

The propensity of a force to produce or modify the rotational motion of a body is known as torque, also known as moment, or moment of force. It is a force that causes an object to twist or turn. Force and distance are multiplied to calculate torque. It has both a direction and a magnitude because it is a vector quantity. Newton-meters, or N*m, is the torque unit in the SI system.

A spinning object's change in angular velocity per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It has a vector form.

Given in the question

Torque = 75 Nm

Angular acceleration = 8.5 rad/s²

Torque = Angular acceleration × moment of inertia

Put in the value, we get

Moment of inertia = 75/ 8.5

Moment of inertia = 8.82 Kgm²

So the Moment of inertia of the cylinder is equal to 8.82 Kgm².

LEARN MORE ABOUT TORQUE HERE:

https://brainly.com/question/20691242

#SPJ9


Related Questions

You push a box along the floor against a constant force of friction. When you push with a horizontal force of 75 N, the acceleration of the box is 0.75 m/2. If the mass of the box is 10 kg. find the coefficient of kinetic friction between the box and the floor.

Answers

The coefficient of kinetic friction between the box and the floor,  μ = 0.1 m/2.

Equation :

To find out the coefficient of kinetic friction between the box and the floor we will the formula,

μ = F/N

where,

F is friction force

N is normal force

So by question given is mass and acceleration we have to calculate friction force,

So to find F we use,

F = ma

F = 10 x 0.75 m/2

F = 7.5 m/2

By using formula of coefficient of kinetic friction,

μ = F/N

μ = 7.5 / 75

μ = 0.1 m/2

Coefficient of kinetic friction :

The kinetic friction coefficient (F) is the ratio of the kinetic friction force (F) between both the surfaces in contact during motion to the normal force Ff/N. The static and kinetic coefficients of friction are both affected by the surfaces in contact. Their values are determined through experimentation.

To know more about mass visit :

https://brainly.com/question/19694949
#SPJ9

In finding the volume of a solid, when would water displacement be especially helpful?

Answers

Answer: when the world ends

Explanation:

wild guess

14. Sometimes, gas particles are similar to
billiard balls on a pool table. Explain how their
behavior is similar.

Answers

Like the Bullard balls on a pool table, gas particles are ubiquitous, so they are similar.

When two billiard balls collide the collision is nearly elastic. In an elastic collision the kinetic energy of the system is conserved before and after the collision. Therefore for simplicity, we can assume that the collision with the billiard ball is perfectly elastic. Momentum is conserved regardless of the type of impact. This means that the total momentum of all colliding objects before the collision is equal to the total momentum after the collision.

If you hit straight and the cue ball stops at impact the cue ball's momentum should all be eight This is because momentum is conserved Hitting diagonally keeps both balls moving after the collision. That is ball one exerts the same force on the ball two as ball two exerts on ball one This way momentum is conserved, so every time ball two gains momentum ball one loses This is Newton's third law.

Learn more about Billiard balls here:-https://brainly.com/question/8982841

#SPJ1

The graph provided represents voltage and current data for resistor R. What is the resistance of R?



Question 15 options:

4.5 Ω


0.50 Ω


2.0 Ω


9.0 Ω

Answers

The resistance, given the data from the question is 2 Ω

Ohm's law

Ohm's law states as follow:

V = IR

Where

V is the voltageI is the currentR is the resistance

With the above formula, we can obtain the resistance. Detail below

How to determine the resistance

The following data were obtained from the question:

Change in voltage = 9 - 3 = 6 VChange in current = 4.5 - 1.5 = 3 AResistance =?

V = IR

Divide both sides by I

R = V / I

Resistance = Change in voltage / Change in current

Resistance = 6 / 3

Resistance = 2 Ω

Learn more about Ohm's law:

https://brainly.com/question/796939

#SPJ1

13. If Joe begins his hike at +125 meter altitude, and finishes his hike at +1532
meters, what is his velocity in meters/seconds if it takes 20 minutes?

Answers

velocity in meters/seconds if it takes 20 minutes is equal to 1.17m/s

the velocity of the object can be obtained by the formula v = distance travelled/ time taken

Total distance travelled = 1532 -125 = 1407 m and 20 min in sec = 20 X 60 = 1200 so velocity in m/s is 1407/1200 1.17m/s

swiftness; speed of movement or action; a fast wind's velocity. Mechanics. the speed at which a body's position changes over time in a given direction. the velocity of action or reaction; the rate at which something occurs

To learn more about velocity:

https://brainly.com/question/18084516

#SPJ9

You’ve been contracted to design a dragstrip for LV Motor Speedway. To do this you need to know how far a race will travel. During a race, a drag racer accelerates at 50.0 m/s2 for 5 seconds then brakes at 60.0 m/s2 to a complete stop. Sketch position-time and velocity-time graphs for this race. What is the total distance traveled by the car from start to finish? (1146m) What is the total time from start to finish? (9.2s)

Answers

The racer which accelerates at 50.0 m/s2 for 5 seconds then brakes at 60.0 m/s2 to a complete stop has an acceleration of  2 m/s^2, travels a distance of  100m in 5 seconds.

What is acceleration  ?

Acceleration is the measure of a change in velocity. Acceleration frequently, but not always, denotes a shift in speed. The direction of motion is changing, therefore an object travelling at a constant speed along a circular path is still going ahead.

Given:

Acceleration, a=?

Time, t =  5 seconds

Final velocity, v= 60.0 m/s2

Initial velocity, u=  50.0 m/s2

Therefore putting the formula,

v = u + at

=> 60 = 50 +5.a

therefore, a = 2 m/s^2

Therefore distance can be found by the formula,

x = u + 1/2 at^2

Where x is the distance.

=> x = 50 + 2 . 5^2

x = 100m

To learn more about acceleration   click on the link below:

https://brainly.com/question/10307723

#SPJ9

A plane is flying to Minnesota with a velocity of 277.73 km/h, N. The plane
encounters a crosswind with a velocity of 71.97 km/h, W. What is the magnitude of
the resultant velocity of the plane? (Answer in km/h)

Answers

Answer:

466 km/h

255°

measured anticlockwise from the east direction

Explanation:

find the resultant velocity of a plane after a crosswind affects its motion. take the positive

x -direction as east, and the positive y -direction as north. The components of the plane's velocity (without wind) are

upx = 0upy =  450 Km/ h

And for the wind.

uwx = - 120 Km/huwy = 0

The components for the resultant velocity of the plane are given by

ux =upx + uwx = 0 - 120 Km/h =  - 120 Km/huy = upy + uwy  = - 450 Km/h +0 = - 450 Km/h

The magnitude of the resultant velocity is

[tex]\sqrt{(vx)^2+(vy)^2} =\sqrt{(-120lkm/h^2+(-450lkm/h)^2}[/tex]

= 466 km/h

Hope this helps u : )

If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Answers

The volume has changed by a factor of 4/3

What is Volume of a Box ?

The volume a box will be the product of its length, width and height. The S.I unit is cubic meter (m³)

If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Initial volume = LBH

The new length = L/3The new width = 2BThe new height = 2H

The new volume = L/3 × 2B × 2H

The new volume = 4/3 × LBH

Therefore, the volume has changed by a factor of 4/3

Learn more about Volume here: https://brainly.com/question/1972490

#SPJ1

13. Describe the particles when water is a gas. What is
their distance from one another? How quickly do they
move? What do their collisions look like?

Answers

When water is a gas following are its characteristics:

The particles are very far away from each other.They move very quickly.The collision between the molecules is perfectly elastic.

Like every other substance, water also exists in three forms on the basis of its physical state:

In a solid state, water exists as ice.In a liquid state, water exists as liquid water.In a gaseous state, water exists as steam.

The properties of steam are similar to the properties of any gaseous substance. The particles in the gaseous state are farthest from each other than in any other state. The velocity of molecules is maximum in a gaseous state.

As the velocity of molecules is maximum, several collisions between the molecules take place every second and these collisions are perfectly elastic.

Read more about States of water:

brainly.com/question/28465561

#SPJ1

Select the correct answer. In which direction does a bag at rest move when a force of 20 newtons is applied from the right? A. in the direction of the applied force B. in the direction opposite of the direction of the applied force C. perpendicular to the direction of the applied force D. in a circular motion

Answers

The bag would move in the direction of the applied force.

What is the direction?

Recall that work is done when the force applied moves a distance in the direction of the force. In this case, we can see that the force was applied from the right. Do not also forget that the force applied must make the object to move in a given direction. The direction in which the acceleration is imparted must also be in the direction of the force.

The understanding of the impact of force on motion could be seen from the Newtons law. We know from the Newton’s law that an object would remain at rest or in  a state of uniform motion unless it I acted upon by an external force. This external force makes the object to move in the direction of the force.

Looking at the question, we are told that a 20 newtons is applied from the right hence, the bag would move in the direction of the applied force.

Lear more about force:https://brainly.com/question/13191643

#SPJ1

the position versus time for a certain object moving along the x axis is shown. the objects initial position is -4m. Find the instantaneous velocity at 7s. Answer in units of m/s.

Answers

The instantaneous velocity at 7s is 1.71 m/sec.

Equation :

To know the velocity of the position difference,

Use the formula,

speed = distance / time

Given,

distance 1 = -4m

distance 2 = 8m

time = 7s

v = ?

Putting values,

v = Δs/Δt

v = d₂ - d₁ / t

v =  8 - (-4) / 7sec

v =  12m / 7sec

v =  1.71 m/sec

Velocity :

The velocity of a body or object determines the direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is rate of change in distance. The displacement change rate is the issue.

To know more about  scalar quantity :

https://brainly.com/question/774036

#SPJ9

The divorce rate in the United States quadrupled over the twentieth century, from less than 1 per 1,000 people in 1900 to 4 per 1,000 in 2000. Although declining in recent decades, the rate today is still 3 times higher than it was in 1900. Explain this dramatic change in social arrangements over the 20th century in the view of each of the three sociological perspectives: Functionalist Theory, Conflict Theory, and Symbolic Interactionism. Include in your answers the primary drivers of social change emphasized by each perspective. In the coming decades, do you think the divorce rate will continue to fall, flatten out, or rise again, and why? Use one or two paragraphs for your answer.
PLEASE ANSWER!!! I'm very overwhelmed with schoolwork right now.

Answers

Divorce is viewed negatively by functionalists from a macro perspective. A functionalist would blame divorce on the breakdown of social structures rather than looking at the persons involved. Some of the structures that  have evolved over the years leading to the rise in divorce rates according to Functionalists is the increasing erosion of the traditional role of men and women in the society.

What does the conflict theory say about divorce?

According to conflict theorists, divorce is the consequence of a disagreement over resources in a marriage.

Conflict theory holds that the disintegration of marriage occurs from rivalry for resources and authority within the marriage, just as it does in a society when groups compete for limited resources.

What is the relationship between symbolic interactionism and divorce?

Choices, according to symbolic interactionists, are based on learnt behavior.

Symbolic interactionists believe divorce is the consequence of two persons affected by their friends and family members.

Learn more about Functionalist Theory:
https://brainly.com/question/15169486
#SPJ1

Two pieces of cloth have the same color and texture. Name another property of cloth that you might use to distinguish between the two materials.

Answers

Answer:

3эщ4шнп8х34нп943неп43щ

укр

Explanation:

кпк9геъ09ге

1- What does it mean that matter has mass and occupies space?

2- What kind of forces are responsible for the states of aggregation of matter

Answers

Matter is the substance which have some mass and can occupy space is well.

What does it mean that matter has mass and occupies space?

Matter is any substance which has mass and occupy some space by having the volume. All physical things are made up of matter and an easily observed property of matter is its state or phase. There are three states of matter Solid, Liquid and Gas. These three matter are responsible for the production of things. The matter can occupy the space but the same matter can not occupy the same space.

Which two types of forces are responsible for state of matter?

The state of a substance directly depends on the balance between kinetic energy of the individual particles and the intermolecular forces between them. If forces are strong, state of matter changes into solid and liquid.

So we can conclude that matter is the substance which have some mass and can occupy space is well.

Learn more about Matter here: https://brainly.com/question/16982523

#SPJ1

Which of the following could be considered possible experimental errors with the motion lab? (Options in image)

Answers

Possible experimental errors with the motion lab are making a math error, incorrect measuring, cars not let go at right time, did not follow directions.

What is error in measurement?

The difference between two measurements is called an error.

The error in measurement is a mathematical way to show the uncertainty in the measurement.

Possible error in measurementmaking a math errorincorrect measuring cars not let go at right timedid not follow directions

Thus, possible experimental errors with the motion lab are making a math error, incorrect measuring, cars not let go at right time, did not follow directions.

Learn more about experimental errors here: https://brainly.com/question/2603047

#SPJ1

Is Your weight
determined by
gravity?

Answers

Answer:

Yes, because you would weigh differently on the moon, than on earth,

Explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

yes

Explanation:

the wight of an object is determined by the pull of gravity on it

Which of the following happens when unbalanced forces act on an object

Answers

When an unbalanced force acts on an object, the object at rest is no longer at rest. It becomes an unbalanced force. This is stated in Newton’s First Law of Motion:

An object in rest stays in rest unless acted on by an unbalanced force. The same principle applies for an object in motion; it stays in motion unless it is acted upon by an unbalanced force.

Design an experiment to test whether talking on a cell phone influences people’s driving skills. Be sure to specify your experimental hypothesis and identify your dependent and independent variables, as well as your experimental and control conditions. Also, include the procedure that should be used to assign participants to conditions and discuss why this procedure should be used.

Answers

in this experiment selected random people from various age groups and set a certain common rules of driving as judgmental rules and gave a call when they are in drive to check their skills.

When testing a theory, controlled conditions are crucial. When the independent variable in an experiment design is not changed or altered, this is known as a control condition. Because it maintains the driving circumstances uniform, a control condition is essential to this experiment's success in determining if smartphone use affects one's ability to drive. This would enable the only distinction between the test subjects to be the drivers' use of cell phones. Making ensuring the subjects are all travelling the same route and experiencing the same circumstances could serve as the controlled conditions for this experiment. This might be on a closed course where every subject has the same path. All individuals could use the same vehicle as additional controllers.

To learn more about experiment:

https://brainly.com/question/11256472

#SPJ9

15. Imagine that the true speed of a car traveling on a road is 70 km/h. With a radar
gun, we determine the speed of the car five times. Which of the following
measurements represents the most accurate data set?
a. 70, 75, 78, 77, 80
b. 72, 72, 70, 68, 68
73, 73, 73, 73, 73
d. 70, 69, 70, 70, 118

Answers

The measurement that represents the most accurate data set is second measurement (b. 72, 72, 70, 68, 68).

Average speed of the car in each data set

The average speed of each car in the given data set is calculated as follows;

Average speed of the car in the first data set

v(avg) = (70 + 75 + 78 + 77 + 80) / 5

v(avg) = 76 km/h

Average speed of the car in the second data set

v(avg) = (72 + 72 + 70 + 68 + 68) / 5

v(avg) = 70 km/h

Average speed of the car in the third data set

v(avg) = (73 + 73 + 73 + 73 + 73) / 5

v(avg) = 73 km/h

Average speed of the car in the fourth data set

v(avg) = (70 + 69 + 70 + 70 + 118) / 5

v(avg) = 79.4 km/h

Thus, the measurement that represents the most accurate data set is second measurement (b. 72, 72, 70, 68, 68).

Learn more about average of data set here: https://brainly.com/question/19243813

#SPJ1

Finding the density without having the mass having only volume

Answers

.............................................

What doesn't H2O stand for

Answers

Answer:

Water

Explanation:

Two identical loudspeakers separated by distance delta x each emit sound waves of wavelength lambda and amplitude a along the x-axis
What is the minimum value of the ratio delta x/ wavelength for which the amplitude of their superposition is also a?

Answers

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disruption that propagates away from the source of the sound.

Two identical loudspeakers separated by distance delta X each emit sound waves of wavelength lambda and amplitude A along the x-axis.

What is the minimum value of the ratio delta X/ wavelength for which the amplitude of their superposition is also A?

On a location along the X axis, we receive a portion of the difference in their attacks when we talk along the X axis. The attacks over the wavelength are equal to the phase difference, or delta. Lambda divided by pi. The square of the temperature tude of the first three waves plus the square of the second wave's temperature, B plus two times even a two times course delta, is what determines the amplitude following a superimposed wave. Okay. The resultant amplitude, A, equals the square root of a squared plus a squared plus two times a squared in this situation because the amplitude is tiny.

Delta is now, of course, square on both sides. And we discover that A squared equals two A squared plus cost. This widget's delta are is equivalent to -1/2. Delta will be seven Pi over six. Okay, so this value is delta, which is equal to X over lambda times two pi are the ratio assaults with lambda = 7/12 from equation one.

To know more about Sound waves, click on the link below:

https://brainly.com/question/14992894

#SPJ9

A warning buoy A warning buoy is observed to rise every 4.3 s as crests of waves pass by it.

(a) What is the period of these waves?is observed to rise every 4.3 s as crests of waves pass by it.

Answers

A warning buoy is observed to rise every 4.3 s as crests of waves pass by it. The period of these waves is (T) = 4.3s

What is period?

The period defines the quantity or the required time to complete one single oscillation. It has a synonym called time period. It can be measured in Seconds.

How can we calculate the period?

According to the question,

A warning buoy is observed to rise every 4.3 s as crests of waves pass by it.

According to the definition of time period, time between two consecutive peaks of the oscillation called the time period.

So, According to the question the period of these waves is (T) = 4.3s

Learn more about period:

https://brainly.com/question/301048

#SPJ9

In a video game, a flying coconut moves at a constant velocity of 20 meters/second in the positive direction. The coconut hits an obstacle and moves in the opposite direction with a constant velocity of 10 meters/second. What’s the change in velocity of the coconut?


A.

-30 m/s

B.

-10 m/s

C.

10 m/s

D.

30 m/s




15 points

Answers

The answer to this is B.

Answer: B. -10 m/s

Explanation:

What does density show? Explain.​

Answers

Answer:

What is Density? The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.

Explanation:

Answer:

 The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.

68. What is the trend of atomic size
on the periodic table?

Answers

Answer:

slowly decreases from left to right over the duration of the element.

A force directed 51.8° below the positive x-axis has an x component of 4.93 lb. Find its y component.

Answers

Answer:

y= 6.26 lb.

Explanation:

1. Draw the vector of the force to better visualize and understand the problem.

Check attached image 1.

2. Find an expression for the force in the y axis.

Using the trigonometric functions, we need to find a function that relates the angle, opposite side and adjacent side of the drawn triangle. The function that does this is the tangent.

Let theta (θ) be the angle given by the problem.

Let "y" be the missing y component.

Tangent (θ) = Opposite side (y) / Adjacent side (x)

[tex]Tan(tetha)=\frac{y}{x}[/tex]

3. Solve the equation for y by multiplying both sides by x.

[tex]Tan(tetha)*x=y[/tex]

4. Substitute the information given by the problem and calculate y.

[tex]Tan(51.8)*(4.93)=y\\ \\y=6.26[/tex]

5. Express the result.

y= 6.26 lb.

1.Explain why "red hot" is not as hot as "blue hot"

Answers

Red hot is not as hot as blue hot because as the temperature increases the frequencies of light emitted becomes higher leading to emission of smaller wavelength lights.

All objects emits light, even at room temperature. But it cannot be seen with human eyes as the wavelength is too high. When heated the wavelength starts to decrease ( reaching the visible spectrum ) as high heat produce high frequency lights.

The wavelength of colour visible to human eyes starting from highest wavelength to lowest wavelength is as follows: Red, Orange, Yellow, Green, Cyan, Blue and violet.

Therefore, "Red hot" is not as hot as "blue hot"

To know more about "Red hot"

https://brainly.com/question/13015035

#SPJ1

explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers’ bodies to power equipment during rescue missions. Try to use the words in the Word Bank above.

Answers

Answer:

The rescue workers can get energy to the batteries in their equipment during rescue missions by using a generator to convert the kinetic energy to potential energy. Potential energy is then stored in the battery.

Explanation:

Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of town at 7.0 m/s . Once free of this area, it speeds up to 13 m/s in 8.0 s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed.

Answers

According to the given statement the final speed is v = 25 m / s.

What is acceleration explained?

Velocity's rate of change with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it increases or decelerates. Even if the speed remains constant, motion on a circle increases because the direction is always shifting.

Briefing:

We utilise the relations and kinematics for this exercise.

The train accelerates in the first section from v0 = 7.0 m/s to 13 m/s in a time of t = 8.0 s.

v = v₀ + a t

a = [tex]\frac{v-v_o}{t}[/tex]

a = 13-7/8

a = 0.75 m / s²

Second part Accelerate again for t = 16 seconds

v = v₁ + a t

For this interval the initial velocity is v₁ = 13 m / s

v = 13 + 0.75  16

v = 25 m / s

According to the given statement the final speed is v = 25 m / s.

To know more about Acceleration visit:

https://brainly.com/question/3046924

#SPJ9

Other Questions
hen two investigators traveled to [marker for question 8] chamberss farmhouse the following evening, he led them to the backyard and revealed the evidence hidden inside the hollow pumpkin. ASAP. Please help me with 63 please. I will give an Brainly and bunch of extra points to whoever answers it right please. According to the law of multiple proportions, if 12 g of carbon combine with 16 g of oxygen to form co, the number of grams of carbon that combine with 16 g of oxygen in the formation of co2 is ________. How do people use anger to have power over others? to find the total field you have to sum over all dqs corresponding to each increment of length dx. summing of infinitesimals is called integration. set up the integral over the length of the line of charge, including correct limits and integration variables. how would an observer on train a, which is moving at nearly the speed of light, view a clock on train b, which is moving at the same speed and in the same direction? You are interviewing someone about a new concept in debit cards. the interviewee immediately tells you that he hates debit cards and never uses them. what would be your appropriate next step? Functional hypothalamic amenorrhea is a condition characterized by the interrelated factors of _________. What is the function in a cell of the carbon compounds lipids.A. Stores and transmits heredity informationB. Provides a cell membrane that regulates the interaction between the cell and the environmentC. Regulate cell processes transports things into and out of the cell and fights disease.D. Stores energy for for the cell and sometimes provide structural support. how is atp used in our bodies? how is atp used in our bodies? the energy released from atp is converted into kinetic energy to do work. it is converted to adp for storage and later use. it is used to create more energy. atp is used to make potential energy. Calculate the nuclear binding energy per nucleon for tl205 which has a nuclear mass of 204.974 amu . UNIT IMAINTAINING AN ACTIVE LIFESTYLELESSON 2: PHYSICAL ACTIVITY PYRAMIDCHECKUP A (5 points)Instruction: Compare the two components of Energy Balance. (Activity and Diet)_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________CHECKUP B (5 points)Instruction: Compare moderate exercise to vigorous exercise_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________CHECKUP C (5 points)Instruction: Give one example of an activity or exercise for each level in the physical activity pyramid._________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ the purchase of new capital goods by a business would fall under which component of gdp? investment investment consumption consumption government The digital millennium copyright act is the american law created in response to directive 95/46/ec, adopted in 1995 by the european union. _________________________ Seventy percent of ________ are immigrants. most are under the age of 30. this subculture is composed of many diverse groups, which makes it difficult generalize buying patterns. What is an equation of the line that passes through the point (2,7) and is perpendicular to the line x4y=24? The intersection of science and society includes issues that will require both an understanding of science and a healthy conversation about what to do about them. such issues include? Which of the following sentences is a compound sentence? A. I'm sure it will be fun. B. The party is almost over. C. The party will last two hours, but I'm sure it will be fun. D. The party will last two hours. 1. State the operation used to solve the followingequation.x-7 = 15 Which patient care services prvides structure in which patients eat meals receive medication attend activities and participate