A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the normal force, friction force and the coefficient of sliding friction

Answers

Answer 1

To find the normal force, we can use the equation: normal force = weight + friction force * cos(incline angle).

How to find the normal force ?The weight of the object is (4.51 kg) * (9.8 m/s^2) = 44.398 NTo find the friction force, we can use the equation: friction force = coefficient of friction * normal force.We can assume that the friction force is equal to the force of gravity acting against the object because it is moving down the inclined plane at a constant pace. As a result, the friction force is equal to the product of the object's weight and sin (incline angle)Friction force is equal to (9.927 N)*sin(23.0)*(44.398 N)We can use the following equation to determine the coefficient of sliding friction:friction coefficient is calculated as friction force divided by normal force.coefficient of sliding friction = 9.927 N /44.398 N = 0.224Therefore, the normal force is 44.398 N, the friction force is 9.927 N, and the coefficient of sliding friction is 0.224.

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Related Questions

Light of intensity I0 passes through 4 ideal polarizing sheets. Unpolarized light enters the 1st sheet that has a horizontal transmission axis. Light continues to the 2nd sheet that has its transmission axis at 23 degrees with respect to the 1st sheet, then to the 3rd sheet that has its transmission axis at 42 degrees with respect to the 1st sheet then to the 4th sheet that has its transmission axis at 14 degrees with respect to the 3d sheet. The intensity of the emerging light as percentage of I0 is close to:

Answers

Answer:

 I₄ / Io = 0.388 = 38.8%

Explanation:

For this exercise we will analyze the effect of having two depolarizers with an annulus between them, this is described by Malus's law

         I = Io cos² θ

where tea is the angle between the two polarizers.

For this case we must apply this law to each pair of polarizers.

The light that reaches the first polarizer is non-polarized light, therefore only the light that has polarization is transmitted in the direction of the depolarizer, which is horizontal.

          I₁ = I₀ / 2

this intnesidad reaches the second polarizer that has an angle of 23º with respect to the first polarizer

          I₂ = I₁ cos² 23

          I₂ = I₀ / 2 0.847

This light reaches the third polarizer, which has an angle of 42º with respect to the first polarized one.

Let's find the angle with respect to the 2nd polarizer

          θ = 42- 23

          θ = 19º

we apply the law of Malus

          I₃ = I₂2 cos 19

          I₃ = I₀ 0.847 / 2 0.9455

          I₃ = Io 0.4

This intensity of light reaches the fourth polarizer, with an angle of 14º with respect to the 3polarizer

          I₄ = Io 0.4 cos 14

          I₄ = Io 0.4 0.970

          I₄ = Io 0.388

to give this result as a percentage

          I₄ / Io = 0.388 = 38.8%

This theory of motivation focuses on finding the right level of stimulation. An organism tries to find behaviors that actually increase arousal because everything else bores them.
*
2 points
Cognitive Theory
Hierarchy of Needs
Drive-Reduction Model
Optimal Arousal Theory

Answers

Optimal Arousal theory focuses on finding the right level of stimulation.

What is Optimal Arousal theory?

William James (1842–1910), frequently referred to as the father of psychology in the United States, made significant contributions to early studies on motivation.

James proposed a number of instincts that help with survival as the driving forces behind conduct . An instinct is a species-specific pattern of behavior that is not taught, according to biology.

But there was a lot of disagreement over what exactly constitutes instinct among James's contemporaries. James postulated a number of unique human instincts, although many of his contemporaries had different lists.

Therefore, Optimal Arousal theory  focuses on finding the right level of stimulation.

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Equilibrium exists in a system where three forces are acting concurrently on an object. If the system includes a 5.0-newton force due north and a 2.0-newton force due south, the third force must be?

Answers

The third force must be 3.0 newtons due north in order for equilibrium to exist in the system.

Why should equilibrium exist in system?This is so because the total of all the forces acting on the object equals the net force acting on it. The net force in this situation is 3.0 newtons due north and is calculated by subtracting the 5.0 newton force due north from the 2.0 newton force due south.In equilibrium, the net force on an object is zero.A chemical reaction is said to be in a state of north equilibrium when the reactant and product concentrations remain stable throughout time. The concentrations of the reactants and products stay unchanged, and the rate of the forward reaction is equal to the rate of the reverse reaction.

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which of the following could be effectively used to reduce friction (a) water (b)petrol (c) kerosene (d) grease​

Answers

Answer:

[tex]\huge\boxed{\mathfrak{\underline{Answer...}}} \\ \\ \huge\mathfrak\red{grease} \\ \\ \huge\mathfrak\purple{hope \: it \: helps}[/tex]

A 3.00kg mass is attached to an ideal spring with k=200N\m if the velocity of body at 0.25m Is 2.3m\s find the amplitude and maximum velocity

Answers

To solve this we must be knowing each and every concept related to velocity. Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.

What is velocity?

V is the velocity measurement of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.

For example, if an item travels west with 5 meters a second (m/s), its velocity to the west will be 5 m/s. The most frequent and simplest approach to determine velocity is using the formula shown below.

v = √(k / m) ×A

v = velocity of the mass

k= spring constant

m =mass of the object

A= amplitude of the oscillation.

substituting all the given values in the above equation, we get

2.3 m/s = √(200 N/m / 3.00 kg)×A

A = 2.3 m/s / √(200 N/m / 3.00 kg)

    = 0.23 m

v =√(200 N/m / 3.00 kg) ×0.23 m

 = 2.75 m/s

Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.

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Steve is planning his annual Spring Break road trip. He pulls out his map and draws out his route to visit the five locations that he has planned for this year. They go in a counterclockwise loop and he ends up at home, where he started, just in time to start classes again. Whenever he is on the road he travels a constant 60 miles/hour. When Steve adds up the total distance traveled, as measured by his odometer, and divides it by the time that his trip took, he has measured what quantity?

a. His average velocity.
b. His average speed.
c. His instantaneous velocity.
d. His instantaneous speed.

Answers

Answer:

His average speed.

Explanation:

Average speed = Total distance travelled / total time .

In the given case odometer measures total distance travelled . Dividing it by time will give average speed .

Average velocity can not be the answer as it is measured by dividing displacement by time . Displacement here is zero because initial and final point are same . Instantaneous velocity is given by the speedometer . It keeps on changing all the time . It is actually speed at a particular point of time . It can not be average velocity or speed .

What is the efficiency of an engine that exhausts 440 J of heat to a cold reservoir and receives 570 J of heat from a hot reservoir? *

Answers

Answer:

Efficiency = 77%

Explanation:

Input energy = 570 J

Output energy = 440 J

To find the efficiency;

[tex] Efficiency = \frac {Out-put \; energy}{In-put \; energy} * 100 [/tex]

Substituting into the equation, we have;

[tex] Efficiency = \frac {440}{570} * 100 [/tex]

[tex] Efficiency = 0.7719 * 100 [/tex]

Efficiency = 77.19 ≈ 77%

Therefore, the efficiency of the engine is 77 percent.

A satellite’s speed is
5,000 m/s. After 1 min, it is 10,000 m/s.
What is the satellite’s acceleration?

Answers

Acceleration = (change in speed) / (time for the change)

Change in speed = (10,000 m/s) - (5,000 m/s)

Change in speed = 5,000 m/s

Time for the change = 1 minute

Time for the change = 60 sec

Acceleration = (5,000 m/s) / (60 s)

Acceleration =  83-1/3 m/s²

A model rocket flies horizontally off the edge of a cliff at a velocity of 50.0 m/s. If the canyon below is 100.0 m deep, how far from the edge of the cliff does the model rocket land?

My teacher provided the equations:
x= vt and y = (Vi * t)1/2* a * t^2

Answers

Yes! The second one is one of the constant acceleration equations. We know that our X and Y values are independent of each other, which is why Y doesn't matter here. We only care about the X position value since X and Y are independent! (This is an extremely important rule, trust me)

Therefore, we don't need to calculate a Y velocity or anything like that. We only need Y because we need to find time t. We can use Y to calculate time because although X and Y are independent of each other, they do share the same time traveled!

We know that [tex]V_{0,y}[/tex] = 0, since the car wasn't moving vertically initially. We also know Y initial is 100 and Y final is 0 when it hits the ground! The last thing we know is that the acceleration of any item in free fall is (usually) -9.81. Therefore, using the original Y equation that your teacher gave, we can plug things in and solve for time!

[tex]y_f=y_i+v_it+\frac{1}{2}at^2\\0=100+(0)t+\frac{1}{2}(-9.81)t^2\\-100=-4.905t^2\\t^2=20.39\\t=4.52[/tex]t = 4.52s

(Your teacher simplified the Y equation a little, so it may look slightly different from mine. I started at the original Y equation)

Now we have time! So now we can use the other equation your teacher provided. Again, remember, even though the car is now traveling through the air vertically, that does not affect its x velocity! The car is still traveling at 50m/s!

Therefore, we can just plug and chug!:

x = vt

x = (50)(4.52)

x = 226m

I hope this helps!

An object located 32.0 cm in front of a lens forms an image on a screen 8.00 cm behind the lens. (a) Find the focal length of the lens. (b) Is the lens converging or diverging?

Answers

Answer: I don’t know someone tell me

Explanation: ^

Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring

Answers

Springs are elastic devices used to absorb shock, store energy, and provide support in a variety of applications.

1- The distance the spring is stretched from its equilibrium position is x = 180 - 100 = 80 mm. This can be converted to meters by dividing by 1000, so x = 0.08 m.

2- The restoring force of the spring can be calculated using Hooke's law, which states that F = kx, where F is the restoring force, k is the spring constant, and x is the distance the spring is stretched from its equilibrium position. In this case, F = 50 N/m × 0.08 m = 4 N.

What is Hooke's law?

Hooke's law is a basic law of physics that states that the force applied to a spring is proportional to the amount of displacement (or stretching) of the spring. In other words, the more you stretch a spring, the more force is needed to keep it stretched. This law is expressed mathematically as F = -kx, where F is the force, k is a constant known as the spring constant, and x is the displacement.

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Question 6 of 10
What is the length x of the side of the triangle below? (Hint: Use the cosine
function.)
X
330
14
A. 9.1
B. 7.6
C. 11.7
D. 10.2

Answers

C (11.7)

Explanation:

cos 33 ÷ 14 = 11.7

PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.

Answers

Answer:

Explanation:

The corona is in the outer layer of the Sun's atmosphere—far from its surface. Yet the corona is hundreds of times hotter than the Sun's surface. ... In the corona, the heat bombs explode and release their energy as heat. But astronomers think that this is only one of many ways in which the corona is heated.

The chromosphere ("sphere of color") is the second of the three main layers in the Sun's atmosphere and is roughly 3,000 to 5,000 kilometers deep. Its rosy red color is only apparent during eclipses. The chromosphere sits just above the photosphere and below the solar transition region.

The photosphere is the visible "surface" of the Sun. The Sun is a giant ball of plasma (electrified gas), so it doesn't have a distinct, solid surface like Earth. ... The photosphere is much cooler than the Sun's core, which has a temperature well above 10 million degree

And thats all i know

is elasticity a property of a sound wave

Answers

Answer:

Elasticity is involved whenever atoms vibrate, so yes it is an example of movement of a sound wave.

The sound wave travels more rapidly through the steel of the track than through the air, because the elastic modulus of steel is a million times greater than the bulk modulus of air.

A hairdryer has a power of 1000W and was used for half an hour, how much did it cost with the energy price being 14p/kWh?

Answers

Answer:

12hp and 132 ml

Explanation:

12+ 132.00=12asd

Someone is whirling a hammer that has a mass of 8.5 kg in the air that is tied to a Chain 1.5 m long in a circle that makes 1 revolution in 2 seconds a. What is the centripetal acceleration f the hammer B what is the tension of the Chain

Answers

This is o
Explanation

Question 1 of 10 Which of the following statements are true of liquids? Check all that apply. A. The particles have more kinetic energy than those of gases O B. The particles can move past each other within a fixed volume. C. The particles are in a fixed location. 0 D. There are intermolecular forces between the atoms or molecules. SUE​

Answers

Answer:

B. The particles can move past each other within a fixed volume.

D. There are intermolecular forces between the atoms or molecules.

Explanation:

you are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP​

Answers

The things would which would be needed to survive the mesosphere include the following below:

Food and waterOxygen supply.

What is a Mesosphere?

This is refereed to as the third layer of the atmosphere which is present above the stratosphere and directly below the thermosphere.

It has a low density of gas and water vapor present in the area which is why it is no place for human life as there is a shortage of oxygen and other gases needed for some biochemical reactions in the ecosystem. This is therefore the reason why things such as food, water and oxygen supply is neeeded tio survive in the mesosphere.

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Corn plants and milkweed plants grow in the same area. Over several years, the milkweed plants have taken over the field and the corn plants no longer have space to grow.

This best demonstrates which type of an interaction between the plants?

cooperation
parasitism
commensalism
competition

Answers

The interaction between the Corn plants and milkweed plants demonstrates as competition.

What is competition in Plants community?

Competition is typically considered to refer to the detrimental consequences that neighbors' presence has on a plant's fitness or growth, typically through lowering the resources available.

In addition to resources, disturbance, herbivory, and mutualisms, competition can be a significant factor in controlling plant populations. The resource involved is depending on the species and the region, as all plants require a few fundamental ingredients.

As corn plants and milkweed plants grow in the same area, the interaction between the Corn plants and  milkweed plants demonstrates competition.

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A horse pulls a wagon with a force of 1450 Newtons. How many meters sis the wagon travel if the horse exerted 798 watts of power over 3.5 minutes? (convert min. to seconds).

Answers

The distance traveled by the horse pulling the wagon with a force of 1450N is 115.57 metres.

How to calculate power?

Power is defined as the amount of energy used or transferred in a certain amount of time. This means that power can be calculated by dividing the work done by the time taken.

P = W/t

When a force is applied to move an object, work is done on the object. Work done = force × distance

Power = (Force × distance)/time

According to this question, a horse pulls a wagon with a force of 1450 Newtons.

798 = 1450 × d/210

167,580 = 1450d

Distance = 167,580 ÷ 1450

Distance = 115.57 metres

Therefore, 115.57 metres is the distance traveled by the wagon.

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Suppose that you wish to construct a simple AC generator with an output of 12 V maximum when rotated at 60 Hz. A magnetic field of 0.050 T is available. If the area of the rotating coil is 100 cm2, how many turns are needed?

Answers

Answer:

N = 63.6

Explanation:

The emf induced in AC generator is given as follows:

[tex]V = N\omega AB Sin\theta[/tex]

for maximum output, [tex]Sin\theta = 1[/tex]

[tex]V = N(2\pi f) AB[/tex]

where,

V = Maximum Output Voltage = 12 V

N = No. of Turns = ?

f = frequency = 60 Hz

A = Area of Coil = 100 cm² = 0.01 m²

B = Strength of Magnetic Field = 0.05 T

Therefore,

[tex]12\ V = N(2)(\pi)(60\ Hz)(0.01\ m^2)(0.05\ T)\\\\N = \frac{12\ V}{(2)(\pi)(60\ Hz)(0.01\ m^2)(0.05\ T)}[/tex]

N = 63.6

The same 42 kg cart is pushed forward with a force of 180 Newtons. How far will it go if a total of 2500 Joules of work are done on the cart?

Answers

Important Formulas:
[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]m=42kg[/tex]

[tex]F=180N[/tex]

[tex]w=2500J[/tex]

[tex]d=?[/tex]

__________________________________________________________

Rearranging work formula to make distance the subject:

[tex]w=Fd[/tex]

[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]

[tex]d=\dfrac{w}{F}[/tex]

__________________________________________________________

Finding distance:

[tex]d=\dfrac{w}{F}[/tex]

[tex]d=\dfrac{2500}{180}[/tex]

__________________________________________________________

[tex]\fbox{d = 13.89 meters}[/tex]

examine the following graph. a) What is the amplitude of the oscillation? b) What is the period of the oscillation?​

Answers

Answer:

Explanation:

The amplitude looks like about 0.5

period = 2/3

the air in a kitchen has pressure 1.0 x 10^5 Pa and temperature 22C. A refrigerator of internal volume 0.36 m^3 is installed in the kitchen. with the door open the air in the refrigerator is initially at the same temperature and pressure as the air in the kitchen. calculate the number of molecules of air in the refrigerator

Answers

You can answer this question using the equation PV = nkT, with the Boltzmann constant. This equation should come to mind since they listed every variable in the equation except for n, which is used to calculate the number of molecules!

Also note that temperature should be in Kelvin, so we should do a quick conversion!
K = 273 + C

K = 273 + 22

K = 295

Now we can plug and chug!

[tex]PV=nRT\\(1.0*10^5)(0.36)=n(1.38 * 10^{-23})(295)\\n=\frac{(1.0*10^5)(0.36)}{(1.38 * 10^{-23})(295)}\\n=8.84*10^{24}[/tex]

Therefore, there are 8.84E24 molecules of air in the refrigerator!

The number of molecules of air in the refrigerator is 14.67.

Given:

P = 1.0 x 10⁵ Pa

V = 0.36 m³

R = 8.314 J/(mol·K)

T = 295.15 K

To calculate the number of molecules of air in the refrigerator, the ideal gas law can be used, which states: PV = nRT

where:

P = pressure of the gas

V = volume of the gas

n = number of moles of gas

R = ideal gas constant

T = temperature of the gas

First, let's convert the temperature from Celsius to Kelvin:

T = 22°C + 273.15 = 295.15 K

Now, rearrange the ideal gas law equation to solve for the number of moles (n) of gas:

n = PV / RT

Substituting in the values:

[tex]n = \frac{1.0 \times 10^5 \times 0.36}{8.314 \times 295.15}\\[/tex]

n = 0.0001467 × 10⁵

n = 14.67

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According the Law of Inertia _____.

the Earth's gravitational pull is less than that of the sun's
the Earth will keep moving unless acted up on by a force
the Earth will stop moving on its own
the Earth's gravitational pull is greater than that of the moon's

Answers

Answer:

The Earth will keep moving unless acted up on by a force

Explanation:

Not A because that's not the law of inertia

It's B because that is pretty much the definition of the law of inertia

Not C because Earth will not stop moving on it's own

Again, not the definition of the law of inertia

Answer:

B

Explanation:

A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the force of gravity and the parallel component of gravity along with the perpendicular component.

Answers

The force of gravity is 103.73N and the parallel component of gravity is 40.45N along with the perpendicular component is 95.43N.

How strong is the force of gravity?

The gravitational force, which pulls mass-containing objects in the same direction, is the force of gravity. The force of gravity from Earth is something we consider frequently. Your body is held firmly in place by this force. However, every mass-bearing object pulls everything else with mass toward it through gravity.

The force of gravity F = ma

F = 4.51×23

F = 103.73N

F parallel component = F sinθ

F parallel = 103.73 sin 23°

F parallel = 103.73 × 0.390

F parallel = 40.45N

F perpendicular component =  F cosθ

F perpendicular = 103.73 × cos 23°

F perpendicular = 103.73 × 0.920

F perpendicular = 95.43N.

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Find the location of the CM of a system of three particles arranged such that two of the particles with mass m are separated by distance I along the y-axis. The third mass 2m lies on the x-axis and is separated by a distance I from one of the masses. ​

Answers

Answer:

CM of a system ( 0.5l , 0.25l )

Explanation:

x = (m1.x1 +m2.x2 +m3.x3) / ( m1 + m2 +m3)

x = ( m x 0 + m x 0 + 2m x l ) / ( m+m+2m)

x = 2m x l / 4m

x = 0.5 l

y = (m1 x y1 +m2 x y2 +m3 x y3) / ( m1 + m2 +m3)

y = (m x 0) + m x l + 2m x 0 ) / ( m + m + 2m )

y = m x l / 4m

y = 0.25 l

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Q11. A person has a mass of 70 kg. What is this person's weight? What is the force that this person exerts onto the Earth? What is the Earth's acceleration because of this person?

Answers

Answer:

[tex]weight = mg \\ = 70 \times 10 \\ = 700 \: newtons[/tex]

[tex]force = 700 \: newtons[/tex]

[tex]force = mass \times acceleration \\ 700 = 70 \times a \\ a = 10 \: {ms}^{ - 2} [/tex]

Most space lawyers agree that the barrier between airspace and outer space lies somewhere between where
the highest planes fly and the lowest satellites orbit.
True
False

Answers

True. The majority of space lawyers concur that the line dividing airspace from outer space is located halfway between the altitude at which airplanes fly and the orbital altitude of satellites.

What purposes do satellites serve?

They serve a variety of functions, including that of the Satellite Navigation System, amateur radio, television transmission, and weather forecasting. In order to conduct study and acquire data, they also employ telescopes to view outward somewhere at solar system.

Do satellites provide internet access?

Over 99% of Americans have access to satellite internet, along with most other (but certainly not all) rural residents. You do not need to have a home internet connection because the broadband signal is transmitted from satellites.

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Question 9 (Worth 4 points)
(02.06 HC)
a. Create and describe a scenario in which the forces acting on an object are unbalanced. Explain how you know the forces are unbalanced.
b. For your scenario, explain how Newton's third law of motion describes the forces involved.

Answers

a. When a football is kicked and it moves from one location to another, it indicates that unbalanced troops are responding to it and b. If an object A applies a force to another object B, then the other object B.

Describe how the effects of balanced and unbalanced forces on motion:

The equilibrium of the forces is disturbed when an object's motion changes. Forces with opposite directions and equal sizes are said to be balanced forces. Motion remains constant when the forces are equal. In one of your scenarios from the previous section, you used the same amount of force on an object but pushed or pulled it in the opposite direction.

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advancemos spanish 2 8.1 test which of the following is an indicator of a chemical reaction?A. two different compounds is an indicator of a chemical reaction.B. changing states of matter (solid to liquid) C. decreasing in size. D. increasing in temperature Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12 Use the image belowAnswers:A) 46 B) 23 C) 7.66 D) 6.78 Which of the following best describes a major effect of the Regents of the University of California v Bakke Supreme Court ruling? OA. Universities were banned from considering race or gender when evaluating prospective students for admission B. Statewide tests that compared white students directly with African Americans were ruled unconstitutional . C. Affirmative action programs aimed at increasing racial diversity in schools and businesses were weakened . OPublic schools were required to create a balance of political beliefs among their teaching staff to prevent bias. The development of feudalism occurred in response to which event?the fall of the Western Roman Empirethe Mongol invasionsthe spread of the Muslim faiththe decline of trade between Europe and the East Suppose a market basket consists of the following goods: 50 pens, 25 notepads, and 25 paperclips. Also assume that the unit prices of these goods are as follows for the years noted and that 2018 is the base year. What is the value of the price index in 2019 Factor out the greatest common factor. If the greatest common factor is 1, just retype thepolynomial.20q ^10 - 10q+ 30q^8 + 20q^7 Can yall help me on question 35?! find the values of X, Y, and Z 3. The Germans did not follow international law that required a sub warn its target. What was a result of this action Explain the working of device that uses the principle of gas law I'm feeling very generous.Explain in detail the historic differences and similarities between the Korean War and the Vietnam War. What was the consequence of each war? Your welcome for the 100 pts :) Which of the following functions represent exponential decay?O y=-2XOy0 7 = 20.5xOy=2 2.The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet. What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.Question 3.The dimensions of a triangle prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters? convert each percent increase or decrease into a multiplier show work a. 5 percent increase b. 12 percent decrease I. Fill in the blank with the correct form of the verb in bracket: 1. He told hi aitant that he ________(go) to make a machine. 2. The lady ______(it) and a maid ______(comb) her hair at that time. 3. I ______(realize) that I ______(get) into a wrong bu. 4. The un ______(not hine) when I _____(go) out. 5. It _____(rain) when you ______(come). 6. I _______(pack) when he ______(arrive) a) S08+ I- ----> I3- + SO The reaction is carried out in a basic solution. Express a balanced redox equation using the ion-electron method. for k(x)=45x-6,determine k^-1(8) OQuestion 2 of 10Which of the following values best classifies a bond between 2 atoms asbeing covalent?A. An electronegativity difference of greater than 2.7 between theatomsB. An electronegativity difference of greater than 1.7 between theatomsC. An electronegativity difference of less than 1.7 between the atomsD. An electronegativity difference of less than 2.7 between the atoms PREVIOUSSUBMIT Match each compound inequality on the left to the graph that represents its solution on the right.