A 5 kg block is moved up a 30 degree incline by a force of 50 N, parallel to the incline. The coefficient of kinetic friction between the block and the incline is 0.25. What is the net work done on the block over this distance?

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer 1

The net work done on the block over the given distance is 39.4d (joules)

What is the net work done on the block over this distance?

The net work done on the block over the given distance is calculated by applying the following equation as shown below;

W(net) = F(net) x d

where;

F(net) is the net force on the blockd is the distance moved by the block

F(net) = F - μmgcosθ

where;

μ is the coefficient of kinetic frictionm is the mass of the blockg is acceleration due to gravityθ is the angle of inclination of the plane

F(net) = 50 N - (0.25 x 5 x 9.8 x cos30)N

F(net) = 50 N - 10.6 N

F(net) = 39.4 N

The net work done on the block over the given distance is calculated as;

W = 39.4 N x d

where;

d is the distance moved by the block = length of the incline

W = 39.4d (joules)

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Related Questions

18. A man dived horizontally with a velocity of 1.5 ms from a 100 kg boat. If the recoil velocity of the boat is 0.9 ms what is the mass of the man? ​

Answers

166.6 kg  is the mass of the man

initial momentum=final momentum

m1v1=m2v2

1.5×100=0.9×m2

m2=166.6 kg

Mass is used in physics to express inertia, a fundamental characteristic of all matter. Essentially, it is a mass of matter's resistance to changing its direction or speed in response to the application of a force. The change that an applied force produces is smaller the more mass a body has. The kilogram, the unit of mass in the International System of Units, corresponds to 6.62607015 1034 joule seconds using Planck's constant (SI). One joule is produced by multiplying one kilogram by one square meter per second. The kilogram is determined by exact measurements of Planck's constant since the second and the meter have previously been defined in terms of other physical constants.

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What are the smaller bulbs called?

Answers

Answer:

E10 Miniature Edison Screw (MES) Also called “Miniature Screw

The smaller light bulbs are the E5 Lilliput Edison Screw (LES).

What are the common light bulb base sizes ?

Today, there are many applications that make substantial use of light bulbs. Lighting bulb bases come in a wide variety.

Based on the letter-number references, you can tell what size light bulb base it is. In contrast to the number, which designates the base's breadth, the first letter indicates the base's shape or form.

Following are the most typical diameters for light bulb bases:

Standard-Medium, normal sized screw in base: E26 or E27

Candelabra, a smaller screw in base: E12

Intermediate: E17

Bi-pin, having pin-in base including two points of contact: G4 or GU24

Twist-And-Lock base: GU10

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look at the two models of charges

Answers

Answer: im looking

explination

1. A student tests the second law of motion by accelerating a block of ice at a rate of 3 m/s².
If the ice has a mass of 12.6 kg, what is the force must the student apply to the ice?

Answers

Answer: 37.8 N

Explanation:

F = ma (Newton's 2nd Law)

Force = mass x acceleration

F = (12.6 kg)(3 m/s2) = 37.8 N


An airplane on a runway accelerates at 4.0 meters/second^2 for 28.0 seconds before takeoff. How far does the plane travel on the runway before
takeoff?

Answers

Answer:1568 meters

Explanation:

we will make a speed time graph and we will calculate the speed by multiplying acceleration with time and we will have the speed then we will draw it on the speed time graph this will make a triangle and we will calculate its area and we will have the distance.

Explain clearly about hydrogeological Map​

Answers

Hydrogeological maps bring basic geological information together with data on the hydraulic and hydrochemical characteristics of the rocks and their usefulness for groundwater supply.

A body moving with uniformly acceleration A has two point (5,15) and ( 20,60) on the velocity time graph of its motion. Calculate A. Pls I would like if the graph can be drawn I have the workings

Answers

Answer:

3 m/s

Explanation:

The slope of a velocity-time graph will give the acceleration for the object over the given interval.

Finding the slope:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1} = \frac{60 - 15}{20 - 5} = \frac{45}{15} = 3\\[/tex]

The acceleration A would be 3 m/s

how would the shape of electric field lines change if you increased the voltage across the electrodes

Answers

Answer:

Explanation:

If the electric field is inhomogeneous, then the magnitude of the strength (and voltage) is determined by the density of the field lines: where the field lines are thicker, the field strength is greater

Which of the following is accurate when discussing specific heat?
A) Specific heat values for solids will never vary for different ranges of temperature.
B) The specific heat of a gas can be measured at constant pressure.
C) Specific heat values for liquids will never vary for different ranges of temperature. D) The specific heat of a gas can be measured at constant volume only.

Answers

The statement indicating that the specific heat of a gas can be measured at constant pressure is accurate when discussing specific heat (Option B).

What is the specific heat of a gas?

The specific heat of a gas is a measurement that makes reference to the relative molecular position of the molecules in a substance in the gas state, which is a state of matter where particles are more separated in space when compared with liquid and solid states.

Moreover, specific heat can be defined as the amount of heat energy that may be able to increase the temperature of 1 gr (gram) of a given material to 1 Celssius degree.

Therefore, with this data, we can see that the specific heat of a gas depends on the temperature and it expresses a given amount of heat energy in a substance or material.

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need these answered with explanation please, i need this asap.

Answers

1. a. Frequency of the wave is equal to 2 cycles per second.

Wavelength of the wave is equal to 1.5 m.

2.a. The frequency of the wave is 3 cycles per second.

b, It is a longitudinal wave of wavelength is equal to 40 cm.

What is wave?

An energy disturbance in a medium without net particle mobility is referred to as a wave. Among the probable manifestations are elastic deformation, pressure changes, variations in electric or magnetic intensity, electric potential, and temperature changes.

From picture 1.

1. a. frequency  of the wave is = 2 cycles per second.

Wavelength of the wave is = 3 m/2 =1.5 m.

From picture 2.

2.a. As it moves forward and backward 3 times in very second, frequency of it is given by  3 cycles per second.

b, It is a longitudinal wave of wavelength is 40 cm.

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A football is kicked by a place kicker. The average force on the
ball is 240 N and the impact lasts for a time interval of 0.25s.
Calculate the change in the ball's momentum.

Answers

The change in momentum of the ball that is kicked by a force of 240 N over a time interval of 0.25 s is 60 Ns.

What is change in momentum?

Change in momentum can be defined as the product of force and time.

To calculate the change in momentum of the ball, we use the formula below.

Formula:

ΔM = Ft.............. Equation 1

Where:

ΔM = Change in momentumF = Forcet = Time

From the question,

Given:

F = 240 Nt = 0.25 s

Substitute these values into equation 1

ΔM = 240×0.25ΔM = 60 Ns

Henece, the change in momentum of the ball is 60 Ns.

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Calculate the combined mass of the two people if the tension of the cable is 1205.4 N

Answers

Answer:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

Answer:

Explanation:

Given:

P = 1205.4 N

g = 9.8 m/s²

___________

m - ?

m = P / g

m = 1205.4 / 9.8 ≈ 123 kg

What do we call the number of waves that pass by a given point in one
second?
OA. The wavelength
OB. The frequency
о C. The amplitude
о D. The period

Answers

B: the frequency of the wave.



Which quantities (initial horizontal speed, initial vertical speed, range, flight time, or maximum height) are proportional to the square of the initial velocity?

(This is about angled projectiles)
(Include an explanation please)

Answers

Range and Maximum height are proportional to the square of the initial velocity.

In projectile motion, Range of the particle is the horizontal distance travelled by the projectile between launch and the landing points and is denoted as R,

R = u^2sin2θ/g

Here u is initial velocity.

Maximum height is the maximum height from the point of projection, a projectile can reach.

And at maximum height (h) attained, velocity of the object is zero (v=0)

we can use , v^2 - (u sinθ)^2= 2ah     (acceleration due to gravity is a= -g)

Or 0 -  (u sinθ)^2 = 2(-g)h

⇒ h = u^2 sin^2 θ / 2g

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A girl rides her bicycle 1.40 kilometers west, 0.70 kilometer south, and 0.30 kilometer east in 12 minutes. The vector diagram below represents the girl's fist two displacements in sequence
from point P. The scale used in the diagram is 1.0 centimeter = 0.20 kilometer.

8. Determine the measure of the angle, in degrees, between the resultant and the 1.40-
kilometer displacement vector.

Answers

Answer:

See below

Explanation:

For a right triangle, remember that tan = opposite leg / adjacent leg:

The angle will be found by using the inverse tangent function

arctan ( .3/1.4)  = 12°

The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.

What is vector?

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.

A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.

Ordinary quantities with a magnitude but no direction are referred to as scalars in contrast to vectors. For instance, while speed (the amount of velocity), time, and mass are scalars, displacement, velocity, and acceleration are vector quantities.

Therefore, The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.

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A very light ideal spring with a spring constant (force constant) of 2.5N/cm pulls horizontally on an 18-kg box that is resting on a horizontal floor. The coefficient of static friction between the box and the floor is 0.65, and the coefficient of kinetic friction is 0.45. How long is the spring just as the box is ready to move? If the spring pulls the box along with a constant forward velocity of 1.75m/s, how long is the spring? how long is the spring if it pulls the box forward at a constant 2.75m/s?

Answers

(a) The length of the spring just as the box is ready to move is 5.1cm

(b) The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s is 47.0 cm

(c) The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s is 73.8 cm

What is the length of the spring just as the box is ready to move?

The length of the spring just as the box is ready to move is calculated by applying the principle of conservation of energy.

work done by static friction = elastic potential energy of the spring

μmgx = ¹/₂kx²2

μmg = kx

x = 2μmg/k

where;

k is spring constant  = 2.5 N/cm x 100 cm/m = 250 N/mμ is coefficient of static friction

g is the acceleration due to gravity

x is an extension of the spring

x = 2μmg/kx = (2 x 0.65 x 18 x 9.8) / 250x

= 0.051 m

x = 5.1 cm.

The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s.elastic potential energy of spring  = kinetic energy of the box

¹/₂kx² = ¹/₂mv² kx² = mv² x²

= mv²/kx

= √(mv²/k)

where;

m is the mass of the box

v is the speed of the box

x is the length of the spring

x = √(18 x 1.75²/250)x = 0.470 mx = 47.0 cm

The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s.x = √(mv²/k)x = √(18 x 2.75²/250)

x = 0.738 m

x = 73.8 cm

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A grandfather clock is operated by a slowly falling mass attached to a pulley system. Winding the clock lifts the mass up again. A typical grandfather clock has a 0.750 kg mass that can fall and be lifted a height of 1.80 m. Calculate the increase in gravitational potential energy of the mass when the clock is wound.​

Answers

13.23 joule is gravitational potential energy of the mass when the clock is wound.​

potential energy, p = mgh

m= 0.750 kg

h= 1.80 m

g=9.8 m/s²

p = mgh

p=0.750×1.80 m×9.8 m/s²

p=13.23 joule

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.

Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.

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In a crash, when a head hits an airbag, what is observed when the head first touches the
airbag and when the head stops? (keywords: speed, time, force)

Answers

When a head collides with an airbag in a collision, the head's initial velocity and its final velocity are measured.

What is the definition of force?

In economics, a power is defined as the pull or draw that modifies an object's velocity. Ingredients that might affect a person's sense of personal work or sleepiness are invisible to the human eye. Its dimensions and form are distinctive.

What does force mean in Example?

In daily life, there are many instances of forces, including: weight and force (i.e. the weight of something) the pressure a bat puts on a ball. the amount of force used to brush hair using a brush. the force used by your foot to press the pedal.

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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

Answer:

1. B (graph A) 2. A (graph D) 3. D (graph B) 4. C (graph C)

Explanation:

1. Graph A gives the relationship between the speed of a car and time. Over time, the speed of the car is decreasing (moving closer to 0). Therefore, the car is slowing down.

2. Graph D gives the relationship between the distance of a car and time. Over time, the distance the car has traveled is increasing at a steady rate. Because the distance is changing, we know the car is moving. And because the slope of the line is constant, the car is moving at a constant speed.

3. Graph B gives the relationship between the distance of a car and time. This distance is not changing over time, meaning that if the car started 5 meters away, the car is still 5 meters away. Therefore, the car is not moving.

4. Graph C gives the relationship between speed and time. The speed is increasing, and therefore not constant. This means that the car is either speeding up or slowing down. Since speed is increasing (the inverse of graph A), we know the car is speeding up. When an object is speeding up, the velocity/speed and the acceleration have the same sign (both positive or negative). Our speed values are all positive, so our acceleration must also be positive.

A car is traveling at 18.25 meters per second for 5.27 seconds. How far did it travel in meters? Round your answer to two decimal places. A car is traveling at 18.25 meters per second for 5.27 seconds. How far did it travel in meters? Round your answer to two decimal places.

Answers

96.18 meters

(96.1776 rounded to two decimal places is 96.18)

What is the resulting acceleration when a 120 N force acts on an object with a mass of 360kg?

Answers

Answer:

Below

Explanation:

Remember:

F = m a    

F/m = a    =  120 / 360 =  1/3   m/s^2

A motorcyclist heading east accelerates after he passes a sign post at x=0m marking the city his acceleration is constant a= 4m/s2 at time=0 he is 5m east of the sign post and has a velocity of v=15 m/s where is the motorcyclist when his velocity is 25m/s

Answers

Answer:

55m east of the sign post

Explanation:

Use this equation

final velocity^2 = initial velocity^2+2(a)(x) x is displacement.

Substitute values:

25^2= 15^2+ 2(4)(x)

625=225+8x

x=50 m

REMEMBER TO ADD INITIAL DISPLACEMENT!!!! :D

Displacement (positive is east in this case)

=50 m+ 5m

=55m.

So the answer is the motorcyclist is 55m east of the sign post.

A 1.0 kg block is pushed 3.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 28.0
◦ with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s2
.If the coefficient of kinetic friction between
the block and the wall is 0.30, find
a) the work done by the force on the block.
Answer in units of J.
b) the work done by gravity on the block.
Answer in units of J.
c) the magnitude of the normal force between
the block and the wall.
Answer in units of N.

Answers

(a) The work done by the force on the block is 9.99 J.

(b) The work done by gravity on the block is 29.4 J.

(c) The magnitude of the normal force between the block and the wall is 9.8 N.

What is the work done by the applied force on the block?

The work done by the applied force on the block is calculated as follows;

W = Fd cosθ

where;

θ is the angle of inclination of the applied forced is the displacement of the blockF is the applied force

F - μmg = ma

since the block is moving as constant velocity, acceleration = 0

Fcosθ - μmg = 0

F = μmg/cosθ

W = μmgd/cosθ

W = 0.3 x 1 x 9.8 x 3 / cos(28)

W = 9.99 (J)

The work done by gravity on the block is calculated as follows;

W = mg d cosθ

where;

m is mass of the block

W = 1 x 9.8 x 3 x cos(0)

W = 29.4 J

The magnitude of the normal force between the block and the wall is calculated as;

Fn = mg

Fn = 1 x 9.8

Fn = 9.8 N

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what is solenoid? define solenoid in simple words​

Answers

[tex]{ \red{ \underline{ \green{ \sf{solenoid}}}}}[/tex]

Solenoid is a coil of circular turns made up of insulated copper wire wrapped closely in the cylindrical form

solenoid is formed by circular turns of copper wire in cylinder form

A 0.80 m wide door turns though an angle of 45°. How long is the arc of the displacement?
O 1.0 m
O 0.80 m
O 0.63 m
O 0.45 m

Answers

Answer:

below

Explanation:

If it went for 360° it would swing through the ENTIRE circumference = 2 pi r

     = 2 pi ( .8 ) =5.026 m

 but it only swings through 45   of the 360

      45 / 360    *  5.026 = .63 m

Radio waves and microwaves have what type of frequency and
wavelength?
A.low frequency & long wavelength
B.high frequency & short wavelength
C.medium frequency & long wavelength
D.High frequency & long wavelength

Answers

Radio waves and microwaves have A.)low frequency and long wavelength.

What type of frequency and wavelength do radio and microwaves have?

Microwaves are classified as radio waves, but they have higher frequencies than other radio waves. And so with higher frequencies, they also have more energy. That's is the reason, microwaves are useful for heating food in microwave ovens.

Microwaves have a long wavelength, but not as long as radio waves. The  atmosphere of earth is transparent to some wavelengths of microwave radiation. The longer wavelengths pass through the atmosphere of earth more easily than the shorter wavelength microwaves.

Radio waves have photons with the low energies and microwaves have more energy as compared to radio waves.

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A basketball spins on a player’s finger. The basketball starts with an initial rotational speed of 15 rad/s and stops spinning in 7.2 seconds. Find the angular displacement of the ball as it comes to a stop.

Answers

Answer:

Angular displacement  ≈  54 rad

Explanation:

Given:

φ₀ = 0

ω₀ = 15 rad/s

ω = 0

t = 7.2 s

___________

φ - ?

Rotational motion equation:

φ = φ₀ + ω₀·t + ε·t² / 2

Angular acceleration:

ε = (ω - ω₀) / t = ( 0 - 15 ) / 7.2 ≈ - 2.08 rad/s²

Angular displacement :

φ = φ₀ + ω₀·t + ε·t² / 2 = 0 + 15·7.2+ (-2.08)·7.2² / 2 ≈  54 rad

Shandra is studying Earth's magnetic field in her science class. She leams that a giant shield around her planet protects all living things from dangerous charged particles from the sun.
How does the magnetic field protect life on Earth?

O A. The magnetic field directs charged particles toward the poles and then past Earth.
O B. The magnetic field directs charged particles toward the equator and then past Earth.
O C. The magnetic field absorbs the charged particles coming from the sun.
O D. The magnetic field directs charged particles toward the poles then absorbs them.

Answers

The magnetic field protect life on Earth by directing the charged particles toward the poles and then past Earth.

The giant shield around Earth that protects all living things from dangerous charged particles from the sun is called as Earth's magnetosphere. It is generated by the motion of molten iron in Earth's core. It also provides the basis for navigation using a compass.

The magnetosphere shields the life on Earth from the constant bombardment by charged particles emitted from the sun which is called as solar wind.

Therefore, the magnetic field protects life on Earth by directing the charged particles toward the poles and then past Earth.

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Two 1kg masses as distance D as part each exerted a gravitational attraction Force on the other one. If 1kg is now add to each mass the gravitational attraction exerted by each would be​

Answers

Answer:

Explanation:

m₁ = m₂ = m

m₁' = 2m₁ = 2m

m₂' = 2m₂ = 2m

F₁₂ = G·m₁·m₂ / D² = G·m² / D²

F'₁₂ = G·m'₁·m'₂ / D² = G·2m·2m / D² = 4·G·m²/ D = 4·F₁₂

Gravitational pull increased 4 times

I need assistance with these questions asap.

Answers

Answer:

Explanation:

9a)  Velocity North

30 m/s  * Sine(60) = 25.98076..  m/s

9b) Distance North

25.98076 m/s * (3 hour)  but we need hours in seconds b/c that's our velocity units

25.98076 m/s * 10800 s = 280,592.23 m

9c) Velocity East

30 m/s * Cosine(60) = 15 m/s

9d) Distance East

15 m/s * (3 hours)

15 m/s * 10800 s = 162,000 m

9e) Total displacement ( total distance  also known as  magnitude)

Total Distance = [tex]\sqrt{(Distant North)^{2} + (Distant East)^{2} }[/tex]

TD = [tex]\sqrt{280592.23^{2} + 162000^{2} }[/tex]

TD = 323999.99 m

let's round it to  324,000 m

324 Km

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subrogation refers to an agreement in which a third party agrees to pay the debt owed by another party if that other party fails to pay his or her debt. True or False when working with a patient who has a language barrier, what strategy should the medical assistant use? Francie was on the computer. She was allowed to play her games after she finished her homework. Francie liked playing on the computer. It was really fun. When her friends were over, they would play games together. Today, Francie was playing by herself. She had music playing in the background, and her mother was out getting groceries. It was pretty quiet in the house. Francie had just gotten to the next level in Sky Mania, an airplane game, when the screen suddenly went black. What happened? She was just playing her game. She didn't press anything she wasn't supposed to or pull on any of the cords. Francie started to get nervous. She was afraid she broke the computer. Her mom would be so mad!Which line shows an idea that would be good to include in a summary of this story? A. . . . when the screen suddenly went black. B. Today, Francie was playing by herself. C. It was really fun. D. She was just playing her game. help please and thankyou a patient tells you that a friend of theirs has recommended the use of caffeine to treat the patient's asthma. what would be the most important reason a nurse should counsel this patient not to delay prescribed treatment for the use of natural health products? the form of natural selection that leads to an increase in the frequency of alleles that promote the fitness of genetic relatives is called: Achieving increased productivity to benefit the worker and the firm was the goal of? Before it grows too large a cell with divide into two ____cells .so that each new cell receives its own genetic instructions,the cell___or copies all of its dna Clayton's mortgage payment was originally $2,460 per month. Now, after refinancing his home loan, Clayton's mortgage payment is $1,968. What is the percent of decrease in Clayton's mortgage payment?please HELP FASTRead the excerpt from "Rebuilding the CherokeeNation."What's interesting to me in looking-I like history a lot,and looking at old historical documents-is to see thatin the 1840s there was still a significant number, notthe majority or anywhere near the majority, but therewere a significant number of people in this country thatwere still questioning whether Indians were human, orwhether Indians had souls, when we and many otherpeople like our tribe had been running our owngovernments for a long, long time.Which sentence best integrates a direct quotationfrom the excerpt?O Mankiller finds it interesting that, in "old historicaldocuments from the 1840s, there were a significantnumber of people who wondered if Indians werehuman.O In describing the discrimination of the past,Mankiller points out the ignorance of the "majority" ofpeople from the 1800s who questioned whetherIndians were human or had souls.O Mankiller describes how, in the mid-1800s, manypeople did not know that "we and many other peoplelike our tribe had been running our own governmentsfor a long, long time."O To emphasize the discrimination the Cherokeefaced in the 1840s, Mankiller states that "there werea significant number of people in this country thatwere still questioning whether Indians were human." find the sum. [1 4 [0 0 0 3] 0 0] i need help with this PLEASE ANSWER THIS WITH AN EXPLANATION TO THE ANSWERS!! When designing a project schedule, the ____________ of the schedule provides the level of detail for monitoring the progress of the project so that everyone has the same understanding of what must be achieved by when. All vehicles use separate fuses for the center high mount stop lamp (CHMSL) and thesidestop lights.truefalse Examine this image:An imprint of a shoe sole on soil.How would a forensic scientist BEST categorize this evidence? A. impression evidence B. trace evidence C. demonstrative evidence D. testimonial evidence Katrina buys a 66-ft roll of fencing to make a rectangular play area for her dogs. Use 2(l+w) = 66 to write a function. for the length, given the width. Graph the function. What is a reasonable domain for the situation? Explain. The function f(w) = gives the length as a function of the width. (Simplify your answer.) Select the correct answer. Which is characteristic of renaissance art? a. Dramatic light and shadow b. Movement and energy c. Calmness of subjects. healthy foods just paid its annual dividend of $1.45 a share. the firm recently announced that all future dividends will be increased by 2.8 percent annually. what is one share of this stock worth to you if you require a 14 percent rate of return? multiple choice $12.56 $12.95 $13.31 $13.68 $14.07 one option for altering the pattern of demand through aggregate planning is a. using overtime. b. carrying inventory. c. subcontracting d. pricing.