Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from Part D, where y0=0. 75m, α=0. 95s^−1, and ω=6. 3s^−1

Answers

Answer 1

The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.

Given,

t = 0.25 s

y = 0.75 m

α = 0.95 rad/s²

ω = 6.3 rad/s

Wf=6.54 rad/sec

V=wr

6.54*0.75

V=4.91 m/s

The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.

If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.

Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.

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Related Questions

an astronomer observes a magnitude 18 star, but needs 10 times as many. what's the faintest star he can see and still get enough photons.

Answers

As according Scientific American, even one photon can result in a visible burst of light.

How so many photons are necessary for you to see a star?

The human eye can see about 10 photons.To an eye accustomed to the dark, the weak light may appear to be flashing, yet each twinkling just represents a few photons.When shooting images of the cosmos from orbit with very sensitive equipment at very low temperatures, a photon stream would be sufficient.

Can you see a single photon?

The answer is yes because the receptors in the retina can respond to a single photon.However, brain filters only allow a signal to pass through and activate the brain when five to nine additional signals do the same in less than a hundred milliseconds.

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Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.

Answers

when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.

What is a distance?

Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.

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Some liquid is poured into a burrete so that it reads 14cm³.50 drops were run each of volume 0.1cm³ .
What is the volume of the fifty drops

Answers

Given :

Liquid is poured into a burrete so that it reads 14cm³.

50 drops were run each of volume 0.1cm³ .

To Find :

The volume of liquid in burrete after 50 drops.

Solution :

Volume of each drop, v = 0.1 cm³.

Initial volume in burrete, V = 14 cm³.

Now, volume left after droping 50 drops are :

[tex]L = V - 50v\\\\L = 14 - 50\times 0.1 \ cm^3 \\\\L = 9 \ cm^3[/tex]

Therefore, the volume left in burrete is 9 cm³ .

Which nucleus would be least likely to undergo radioactive decay?
A. A nucleus with a mass that is less than the mass of an iron
nucleus
B. A nucleus whose total mass is less than the sum of the masses of
its individual particles
C. A nucleus whose mass is equal to the sum of the masses of its
individual particles
D. A nucleus whose total mass is greater than the sum of the
masses of its individual particles

Answers

Answer:

I think the answer would be D.

Explanation:

yeah I belive the answer is D

The correct statement is "a nucleus whose mass is equal to the sum of the masses of its individual particles." The correct option is C.

What is radioactive decay?

Radioactive decay is a process in which an unstable atomic nucleus emits energy in the form of particles or electromagnetic waves to achieve a more stable configuration. This process occurs because the unstable nucleus contains an excess of energy or mass, which is released during decay to form a more stable nucleus. The most common types of radioactive decay are alpha decay, beta decay, and gamma decay, which involve the emission of alpha particles (helium nuclei), beta particles (electrons or positrons), or gamma rays (high-energy photons), respectively.

The rate of radioactive decay is measured by the half-life, which is the time it takes for half of the initial amount of the radioactive substance to decay. Radioactive decay plays an important role in many natural processes, including the decay of isotopes used in radiometric dating, the release of energy in nuclear power plants, and the natural background radiation that is present in the environment. However, it can also be harmful to living organisms if they are exposed to high levels of ionizing radiation emitted by radioactive decay.

Here in the Question,

Option A is not true because nuclei with a mass less than that of an iron nucleus (A = 56) are generally unstable and can undergo radioactive decay.

Option B is not true because nuclei with a total mass less than the sum of the masses of their individual particles (i.e., mass defect) can still be stable, such as helium-4.

Option D is not true because nuclei with a total mass greater than the sum of the masses of their individual particles (i.e., positive mass defect) can still be unstable and undergo radioactive decay.

Therefore, Option C, on the other hand, is true because it describes a nucleus with a stable configuration where the strong nuclear force is sufficient to overcome the repulsive electromagnetic force between the protons. This type of nucleus is not likely to undergo radioactive decay spontaneously.

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Finish A 16 N force is applied to an object and 96 J of work is done. How far was the object moved?

Answers

Answer:

[tex]\boxed {\boxed {\sf 6 \ meters}}[/tex]

Explanation:

Work is the product of force and distance.

[tex]W=F*d[/tex]

We know that 96 Joules of work were done and a 16 Newton force was applied to the object.

W= 96 J F= 16 N

Substitute the values into the formula.

[tex]96 \ J= 16 \ N * d[/tex]

First, let's convert the units. This will make cancelling units easier later in the problem. 1 Joule (J) is equal to 1 Newton meter (N*m), so the work of 96 Joules equals 96 Newton meters.

[tex]96 \ N*m= 16 \ N * d[/tex]

Now, solve for distance by isolating the variable, d. It is being multiplied by 16 Newtons and the inverse of multiplication is division. Divide both sides of the equation by 16 N.

[tex]\frac {96 \ N*m}{16 \ N}= \frac{16 \ N *d}{16 \ N}[/tex]

[tex]\frac {96 \ N*m}{16 \ N}=d[/tex]

The units of Newtons cancel.

[tex]\frac {96}{16} \ m = d[/tex]

[tex]6 \ m = d[/tex]

The object moved a distance of 6 meters.

How far did Makalah push the 500 Newton car if she did 800 Joules of work?

Answers

Answer:

300 i belive

Explanation:

A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?

Answers

The mass of the twig can be calculated using the law of conservation of momentum.

What is law of conservation?

The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.

Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.

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Two arrows are fired simultaneously with the same speed of 30.0 m/s. Each arrow has a mass of 0.100 kg. One is fired due east and the other due south. What is the magnitude of the total momentum of this two-arrow system

Answers

The magnitude of the total momentum of the two-arrow system can be calculated by adding the magnitudes of the individual momenta of each arrow is 4.242.

Calculation=

total momentum = sqrt ( m1u1^2 + m2 u2 ^2)

m1 u2 = 30 * 0.1 = 3

total momentum = sqrt ( 9 + 9 ) = 3 sqrt (2) = 4.242

What is the projectile's acceleration at the pinnacle of its trajectory?

As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.

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The sum of kinetic energy and potential energy
of the particles in a material is blank

Answers

The sum of kinetic energy and potential energy of the particles in a material is known as mechanical energy.

What is Kinetic energy?

The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

What is potential energy?

Due to its position, an object has the ability to store energy. For instance, when a demolition machine's heavy ball is held in an elevated position, it is storing energy. Potential energy is the name for this positional energy that has been stored. Similar to how a drawn bow can store energy due to its posture, There is no energy in the bow while it is in its normal position, or when not drawn. The bow can yet store energy when its position is changed from its normal equilibrium position because of its position. Potential energy is the name for this positional energy that has been stored. Potential energy is the energy of position that a thing has stored inside it.

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What does the second law of thermodynamics tell us about?

Answers

Explanation:

The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative.

If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure.

Answers

A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.

What transpires when a container of gas is cooled?

When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.

How does a gas's compression affect the frequency of collisions inside a container?

The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.

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an object that falls twice as far will be moving twice as fast when it hits the ground. true or false

Answers

An object that falls twice as far will be moving twice as fast when it hits the ground is true.

Whath is object?
Objects
are entities that have properties and state. They are the fundamental building blocks of a programming language. They are physical or abstract items that have a set of characteristics, such as a name, a type, and a value.Objects are items that can be seen and touched, such as a toy, a computer, a chair or a book. They are physical items that can be owned or interacted with. Objects can also exist in a virtual or abstract form, such as a software program or a mathematical concept. They can also be a combination of both, such as a website or a mobile app. Objects are made up of properties and behavior, which can be seen in the way they interact with other objects in the environment.

Objects can also contain other objects, known as properties. Objects can also have methods which are functions that can be performed on the object. Examples of objects in programming include variables, classes, functions, and arrays.

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how much time would it take for an object to fall 4.7 meters

Answers

Answer:

t = 0.97 s

Explanation:

Given that,

height, h = 4.7 m

We need to find the time taken by the object to fall 4.7 m.

Let it is t. Using second equation of kinematics to solve it such that,

[tex]h=ut+\dfrac{1}{2}gt^2[/tex]

u is initial velocity, u = 0

So,

[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}}\\\\t=\sqrt{\dfrac{2\times 4.7}{9.8}}\\\\t=0.97\ s[/tex]

So, the required time is equal to 0.97 seconds.

The time it would take the object is 0.98 secs

From the question,

We are to determine how much time it would take for an object to fall 4.7 meters. That is, the time it would take the object to fall from a height 4.7 meters.

From one of the equations of motions for free falling object.

[tex]h = ut + \frac{1}{2} gt^{2}[/tex]

Where h is the height

u is the initial velocity

t is the time

and g is the acceleration due to gravity (Take g = 9.8 m/s²)

Since, the object is dropped from rest, the initial velocity, u, is 0 m/s

From the given information,

h = 4.7 m

Putting the parameters into the equation, we get

[tex]4.7 = 0(t) +\frac{1}{2} (9.8)t^{2}[/tex]

[tex]4.7 = 0 + 4.9t^{2}[/tex]

[tex]4.7 = 4.9t^{2}[/tex]

∴ [tex]t^{2} = \frac{4.7}{4.9}[/tex]

[tex]t^{2}= 0.9592[/tex]

[tex]t = \sqrt{0.9592}[/tex]

t = 0.98 secs

Hence, the time it would take the object is 0.98 secs

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Please help me, I’m confused on where to start.

Answers

Answer:

D

Explanation:

I believe the answer is D I hope this helps

What cells are missing in SCID?

Answers

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.

According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.

X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).

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Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.

I NEED THIS ASAP

Answers

3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.  

Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:

First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.

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Copper (Cu) reacts with phosphorus (P) to produce copper (II) phosphide.

so far all ive got is Cu₂ +4P --> _____​

Answers

Answer: The answer is Cu+ P4 = Cu3P2

Which after balancing would be, 6Cu + P4 = 2Cu3p2

Explanation: Copper (Cu) is a metal and Phosphorous (P) is a non-metal. Metals and Non-metals combine to form ionic compounds where there is a transfer of ions from metal to non-metal.

Phosphorous has 5 valence electrons in its outer shell and Copper has 2 valence electrons. Following the octet rule, which means that the outer shell should have 8 electrons to be complete we see that combining these two metals on combining have electrons insufficient so we combine till we reach the octet structure. In this case, it happens when there are three copper and two phosphorous. We see that there are no more valence electrons. So it forms Copper II Phosphide, where the two indicates the charge of Copper.

Then we move on to balance both the sides of the equation, upon placing one number after the other to make the numerical value of elements equivalent to the other. Which gives us the answer.

Which type of wave moves both energy and the particles in the same direction as the medium?

Answers

Answer:

Longitudinal waves

Explanation:

With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.

how to calculate the mass of a body whose weight is 200 N​

Answers

Answer:

20.4081633 kilograms.

Explanation:

To find an object's mass using its weight, the formula is Mass equals Weight divided by the Acceleration of Gravity (M = W ÷ G). Convert the weight measured in pounds to the equivalent in Newtons.

Divide the weight in Newtons by the acceleration of gravity to determine the mass of an object measured in Kilograms. On Earth, gravity accelerates at 9.8 meters per second squared (9.8 m/s2). For example, to determine the mass of an object weighing 667 Newtons, calculate as follows:

200 Newtons ÷ 9.8 m/s2 = 20.4081633 kilograms.

What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?

Answers

Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.

Definition of density

Density is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is:

density= mass÷ volume

This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.

Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.

Density of the sample

In this case, you know that:

Mass= 44.2 gVolume= 22.1 cm³

Replacing in the definition of density:

density= 44.2 g÷ 22.1 cm³

Solving:

density= 2 g/cm³

In summary, the density is 2 g/cm³.

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distinguish between Mass and weight​

Answers

Answer:

One is heavier and one is lighter.

Mass is a measure of how much matter there is in an object, while weight is a measure of the size of the pull of gravity on the object.

Does speed increase down a ramp?

Answers

The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse

Answers

Answer:

The maximum amplitude of the resultant pulse would be 30 cm.

Explanation:

The maximum amplitude of the resultant pulse would be 30 cm.

The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is

20 cm + 10 cm = 30 cm.

This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.

When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.

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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.

What is amplitude?

A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.

The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.

The amplitude of pulse A is 20cm.

The amplitude of pulse B is 10cm.

Hence,  the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.

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The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called:

Answers

The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called perception distance.

Distance perception refers to a process in which a viewer perceives an interval between two points in space. Perception distance is the distance a vehicle travels from the moment you see a hazard until your brain recognizes it. For an alert driver, this is about 3/4 of a second. The velocity of your car affects the distance needed to stop it. The stopping distance is persistent by three factors: perception distance, reaction distance, and braking distance. Perception time is how long it endures to recognize a condition and comprehend that you require to stop.

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which of the following causes low lung compliance as a result of last of electrical lung tissue destruction

Answers

Interstitial lung disease is low lung compliance as a result, last of electrical lung tissue destruction.

Interstitial lung disorders brought on by breathing in particles like silicon and asbestos (asbestosis) can cause low lung compliance (silicosis).

Lungs and the pleural cavity have the capacity to expand and contract in response to variations in pressure. Lung compliance, which is a key determinant of lung health and function, is defined as the volume change per unit of pressure change across the lung. Lung compliance varies between inhalation and expiration because measurements of lung volumes vary between the two at the same pressure. Depending on whether only volume and pressure are measured (static) or whether their variations over time are also recorded, lung compliance can be classified as either static or dynamic.

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Two people push on the same door from opposite sides as shown. A man pushes on a door from the left. A woman pushes on the door from the right. They will only see the door move when

Answers

Answer:

The door will move when the forces exerted by each individual becomes unbalanced.

Explanation:

The Door will only move when the forces exerted by each of the individual is unbalanced i.e. when the Torque is unbalanced

This is because there will only be a reaction or movement of an object  when the applied force > resistant force acting on the object.

example : An object at rest will only move when the applied force is  greater than the frictional forces acting on the object at rest.

is ammonia a substance

Answers

Yes it is a substance of nitrogen and hydrogen .

Answer:

yes

Explanation:

it is regulated in United States that is non flamable gas

20 points!

A student wants to measure the mass of three different rocks.

Which SI unit should the student use?

millimeters

grams

ampere

kelvin

Answers

Answer:

I've never heard of ampere, so it's either grams or ampere.

The student wants to measure the MASS of three rocks. What units would you use?

Millimeters is a unit for length so you wouldn’t use millimeters for mass.

Ampere is the base unit of measure for electrical current so you wouldn’t use that.

Kelvin is a measurement of temperature so you wouldn’t use that.

Thus, the answer is grams. Grams is a unit of measure for mass.

What is the acceleration when t 0?

Answers

The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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If 80 watts of power is produced in 40 seconds, how much work can we do?

Answers

Answer:

Hello There!!

Explanation:

Use the equation:Work done = Force x Distance.

Work done=80W×40s

Work done=3200J

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Work done = Force × distance.

Work done = 80W × 40s

work done = 3200J

ThanksHope it helps.
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True or false Germany has many natural resources but they are located in remote areas and it is difficult and expensive to collect them What is the domain of the function y=562x If $x$ is a positive multiple of 8 and $x^2>100$, but $x let sets a and b defined as follows A is c,d,e,f,gb is the set of odd numbers greater than 5 and less than 13 A population has a standard deviation x=18.4. How large a sample must be drawn so that a 98% confidence interval will have a margin of error equal to 4.1? In "The Philosophy of the Manufacturers" by Andrew Ure, the author compares a factory worker to a handmadeworker. The author leads the reader to the idea that the factory worker is better off. Choose evidence (a quotefrom the text) to support this idea. a. Certainly no muscular fatigue to sustain, while it procures for him good, unfailing wages, besides ahealthy workshop gratis.b. The lot of mankind, have been too little dwelt upon; while, on the other har, it has been accused oflending itself to the rich capitalists as an instrument for harassing the poor. c. The principle of the factory system then is, to substitute mechanical science for hand skill, and thepartition of a process into its essential constituents. What is the color for marking telephone, cable, and communication lines in a community infrastructure gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount. Multiple Choice2. Match the graph to the table of values.The first quadrant of a coordinate plane is shown with four plotted points.The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope. A. Time (s) Height (m)15210315420 B. Time (s) Height (m)12233549 C. Time (s) Height (m)14233547Multiple ChoiceMatch the graph to the table of values.The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope. A. Time (s) Height (m)15210315420 B. Time (s) Height (m)12233549 C. Time (s) Height (m)14233547100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks! 3. At the grocery store, three flavors of Cheerios are sold. Flavor A is 20 ounces and costs $4.49. The unit rate is ------------- per ounce.For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. The unit rate is------------------------ per ounce.For Flavor C, the table below shows the amount paid per ounce. The unit rate is ---------------------- per ounceRay is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red. Write an equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used. 7. Let x represent the number of balloons used compared to y which is the number of red balloons.10.Review the keywords below. Find at least 2 words commonly used for "Rate of Change". Drag and Drop them to the box for "Rate of Change" to earn full credit. Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth! The conversation between Fred and Sarah is an example of impersonal communication. Please select the best answer from the choices provided T/F Plz help me well mark brainliest if correct.......????. Read chapter 1, The Prison-Door, from The Scarlet Letter by Nathaniel Hawthorne and answer the question that follows.A throng of bearded men, in sad-colored garments and gray, steeple-crowned hats, intermixed with women, some wearing hoods, and others bareheaded, was assembled in front of a wooden edifice, the door of which was heavily timbered with oak, and studded with iron spikes.The founders of a new colony, whatever Utopia of human virtue and happiness they might originally project, have invariably recognized it among their earliest practical necessities to allot a portion of the virgin soil as a cemetery, and another portion as the site of a prison. In accordance with this rule, it may safely be assumed that the forefathers of Boston had built the first prison-house, somewhere in the vicinity of Cornhill, almost as seasonably as they marked out the first burial-ground, on Isaac Johnsons lot, and round about his grave, which subsequently became the nucleus of all the congregated sepulchres in the old church-yard of Kings Chapel. Certain it is, that, some fifteen or twenty years after the settlement of the town, the wooden jail was already marked with weather-stains and other indications of age, which gave a yet darker aspect to its beetle-browed and gloomy front. The rust on the ponderous iron-work of its oaken door looked more antique than anything else in the New World. Like all that pertains to crime, it seemed never to have known a youthful era. Before this ugly edifice, and between it and the wheel-track of the street, was a grass-plot, much overgrown with burdock, pig-weed, apple-peru, and such unsightly vegetation, which evidently found something congenial in the soil that had so early borne the black flower of civilized society, a prison. But, on one side of the portal, and rooted almost at the threshold, was a wild rose-bush, covered, in this month of June, with its delicate gems, which might be imagined to offer their fragrance and fragile beauty to the prisoner as he went in, and to the condemned criminal as he came forth to his doom, in token that the deep heart of Nature could pity and be kind to him.This rose-bush, by a strange chance, has been kept alive in history; but whether it had merely survived out of the stern old wilderness, so long after the fall of the gigantic pines and oaks that originally overshadowed it,or whether, as there is fair authority for believing, it had sprung up under the footsteps of the sainted Ann Hutchinson, as she entered the prison-door,we shall not take upon us to determine. Finding it so directly on the threshold of our narrative, which is now about to issue from that inauspicious portal, we could hardly do otherwise than pluck one of its flowers, and present it to the reader. It may serve, let us hope, to symbolize some sweet moral blossom, that may be found along the track, or relieve the darkening close of a tale of human frailty and sorrow.This opening chapter does all of the following EXCEPTA.establish the time period of the novelB.establish the geographaphical location of the novelC.establish the seasonD.introduce the novels themeE.introduce the main character Describe common qualities that consumers expect of their food. Which statement best explains how World War II helped to end the Great Depression?OA. People had to worry more about war problems than about the economic crisis.OB. New job opportunities opened as the United States produced more military products.OC. The U.S. Army provided new jobs that paid better than any other work at the time.OD. The war caused people to trust the economy enough to spend more money. Please help!!!! I'LL GIVE 5 STAR RATING AND A THANKS Find the expected value of the winningsfrom a game that has the followingpayout probability distribution:Payout ($)| 024610Probability 0.5 0.2 0.15 0.1 0.05Expected Value = [?] What are the more appropriate measures of center and spread for this dataset? what are the main biome elephants are found, an ecosystem and four other types of biomes.