physics.. pls answerr
a ball is thrown up with a velocity of 20m/s. find the time it takes to reach the maximum height and the distance covered?

Answers

Answer 1

Answer:

the ball will travel for 2 seconds and complete a distance of 20 metres upwards.

Explanation:

v = final velocity

u = initial velocity

a = acceleration

t = time

s = distance

In your question, the initial velocity is given as 20m/s , i.e., u=20m/s ,

the final velocity that the ball can achieve at the maximum height is 0m/s

, hence, v=0m/s .

Since the only first that cause the acceleration is gravity, a is taken as g where g is acceleration due to gravity, and had a value of 9.81m/s2 . But for simplicity, we can take the value of a to be 10m/s2 , so a=10m/s2 . Now, we need to find, what's s and t.

Note: Since the ball is thrown upwards, which is against the force of gravity (gravity always acts downwards), we need take the value of a (in this case, g) as −10m/s2 .

Using the first equation,

v=u+at

0=20−10t

10t=20

t=2

Using the third equation,

v2=u2+2as

02=202+2×(−10)×s

20s=400

s=20

Hence, the ball will travel for 2 seconds and complete a distance of 20 metres upwards.


Related Questions

An eleven quart container of ice cream is to be made in the form of a cube. calculate the length of a side of the cube. 1 gallon = 3.786 liters. answer in units of cm.

Answers

The length of a side of the cube is 21.83 cm.

We need to know about cube volume to solve this problem. Cube volume can be calculated by multiplying the length of the cube. It can be written as

V = L³

where V is cube volume and L is cube length.

From the question above, we know that

V = 11 quart = 2.75 gallon

1 gallon = 3.786 liters

Convert volume to liters

V = 2.75 gallon

V = 2.75 x 3.786 liters

V = 10.41 liters

V = 10.41 dm³

Find the length

V = L³

10.41 = L³

L = ³√10.41

L = 2.18 dm

Convert length to cm

L = 2.183 dm

L = 21.83 cm

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For a fixed (constant) rate of heat transfer in one-direction a material with a very large thermal conductivity will have what relative size temperature gradient?

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For a fixed (constant) rate of heat transfer in one-direction a material with a very large thermal conductivity will have small relative size temperature gradient.

What is thermal conductivity?

A material's capacity to conduct heat is measured by its thermal conductivity, or k [W/mK]. The rate of heat transfer through a unit thickness of material per unit area per unit temperature difference is known as the thermal conductivity.The thermal conductivity is measured by experiments and varies with temperature. When certain minerals become superconductors, their thermal conductivity dramatically changes at temperatures close to absolute zero. A substance that exhibits consistent qualities in all directions is said to be isotropic. Materials used as insulators primarily serve to block the flow of heat. Their thermal conductivity is low.

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Astronauts brought back 500 lb of rock samples from the moon. how many kilograms did they bring back? 1 kg = 2.20 lb
A. 227 kg
B. 498 kg
C. 500 kg
D. 1,100 kg

Answers

Answer:

1100 kg

Explanation:

500 lb x 2.20lb (1kg) =1100kg

A compound held together by ionic bonds is called a
a. diatomic molecule
b. polar compound
c. salt
d. covalent molecule

Answers

Answer:

its probably covalent compound



11. A proton is uniformly accelerated from rest to 80.0% of the speed of light in
18 hours, 6 minutes, 45 seconds. What is the acceleration of the proton?

Answers

The acceleration of the proton is 3681 m/s^2

What is the acceleration?

The term acceleration has to do with the change in the speed of the body with time. We can see here that the proton started from rest and was accelerated to 80.0% of the speed of light in 18 hours, 6 minutes, 45 seconds.

Initial velocity of the proton = 0 m/s (from rest)

Final velocity of the proton = (0.8 * 3 * 10^8 m/s) = 2.4 *  10^8 m/s

Time taken = 18 hours, 6 minutes, 45 seconds or 65205 s

Acceleration = 2.4 *  10^8 m/s -  0 m/s/65205 s

= 3681 m/s^2

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Explain What is economics?

Answers

Money in a country :))

Two identical toy race cars drive horizontally of the top of a table from the same initial height, but with different initial velocities. Which one reaches the ground first?
A. The race cars will hit the ground at the same time.
B. Which one hits the ground first depends on the initial height.
C. The race car with the slower launch speed will hit the ground first.
D. The race car with the faster launch speed will hit the ground first.

Answers

If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities, then the race cars will hit the ground at the same time, therefore the correct answer is option A.

What is gravity?

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another.

As given in the problem If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities,

The final velocity of the race cars depends only on the height, as the height is the same for both the cars, the race cars will hit the ground at the same time.

Thus, the correct answer is option A.

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Answer: The answer is A

Explanation:

Voltage drop is a better measurement of resistance than testing static resistance because ________.

Answers

Voltage drop is a better measurement of resistance than testing static resistance because: current flow creates heat which adds to circuit resistance

The current flow or electric current is the measure of the electrons flow around a circuit. It is measured in amperes or "amps". If the current is higher the electrons flow is greater.

The course of a conventional electric current in the external circuit is directed away the positive terminal and toward the negative terminal of the battery

What is electricity?

Electricity or electrical energy is the energy that occurs due to the movement of electrons in the materials that are considered conductors.

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How will you make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution?

Answers

To make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution we have to take a volume of: 10ml of the concentrated solution

To solve this problem, the formula and the procedure that we have to use is:

c1 * v1 = c2 * v2

Where:

c1= concentration of the concentrated solutionv1 = volume of the concentrated solutionc2 = concentration of the diluted solutionv2 = volume of the diluted solution

Information about the problem:

c1 = 100 mmv1=?c2 = 5 mmv2=200 ml

Applying the dissolution of concentrations formula and clearing the volume of the concentrated solution (c1) we get:

c1 * v1 = c2 * v2

v1 = (c2 * v2)/ c1

v1 = (5 mm * 200 ml)/ 100 mm

v1= 10 ml

What is a solution?

In chemistry a solution is known as a homogeneous mixture of two or more components called:

Solvent: it usually is in a major amount than the soluteSolute: it usually is in less amount than the solvent

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A car is traveling at vxvxv_x = 25 m/sm/s . the driver applies the brakes and the car decelerates at axaxa_x = -5.0 m/s2m/s2 . what is the stopping distance?

Answers

Answer:

The stopping distance is 62.5m for a car traveling at vxvxv_x = 25 m/sm/s and the driver applies the brakes and the car decelerates at axaxa_x = -5.0 m/s2m/s2.

Explanation:

Acceleration occurring in the opposite direction of an object’s the motion, is negative or referred to as deceleration. The formula below (stopping distance) solely compares the magnitudes of distance travelled, beginning velocity, and deceleration.

We use the fourth equation of motion, v2 = u2 +2ax. When the car stops, we have v = 0, and so

0 = u2 +2ax.

Solving for x, we have

x =−u2/2a

Given the following information from the question

U= 25 ms-1

-a = 5.0 ms-2

x = -(25)2 / 2* 5

x =625/10

x = 62.5 m

Hence the car travels 62.5m as the brake is applied to come to a halt.

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Increase the distance between you and the car ahead of you to more than 3 seconds when __________.

Answers

When the road and weather are ideal, the three-second rule is advised for passenger cars. When driving in bad weather or when visibility is poor, slow down even more and widen your following space. If you are operating a bigger vehicle or pulling a trailer, you should also widen your following distance.

What is distance?

Distance is a measure of how far away two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). It is occasionally used to indicate the distance between two points[tex]{\displaystyle |AB|}|AB|[/tex]. The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for components of a space to be "near to" or "far away" from each other in mathematics. It is an extension of the idea of physical distance.

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The large-scale transfer of material downslope under the pull of gravity is called:______.

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The large-scale transfer of material downslope under the pull of gravity is called a mass movement, also known as mass wasting, the quick or gradual sinking of the Earth's ground surface in a primarily vertical direction, or bulk movements of soil and rock debris downslopes in reaction to the pull of gravity.

What does the term "mass movement" mean? What does the term "material moving downward under the influence of gravity" mean?

The meaning of a mass movement:

An organized movement is made up of many people, especially those who do not belong to the social elite of a given society, intending to bring about significant changes to the social, economic, or political institutions that already exist.

The mass movement also refers to the downward motion of earth elements caused by gravity. If the stress applied is greater than the capacity of the substance to hold it in place, the earth's materials will detach and migrate. Shear strength is a gauge of an earth material's resistance to being moved.

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A physics student places an object 6.0 cm from a converging lens of focal length 9.0 cm. what is the magnitude of the magnification?

Answers

The magnitude of the magnification for converging lens is 3

Converging lens is convex lens whereas diverging lens is a concave lens.

Given:

distance of object from converging lens = 6.0 cm

focal length = 9.0 cm

To Find:

magnitude of the magnification

Solution: Magnification is the ability of a microscope to produce an image of an object at a scale larger (or even smaller) than its actual size.

Magnification (m) = h / h' Here, h is the height of the object and h' is the height of the object. Besides, it can also be related to the object distance and image distance. So, it can be written as: m = -v/u

Using the formula for magnitude of magnification

1/f = 1/d° + 1/di

M = - d1/d° = 3

Hence, magnitude of the magnification is 3

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Rolls of foil are 304 mm wide and 0.019 mm thick. (the density of foil is 2.7 g/cm3 .) what maximum length of foil can be made from 1.05 kg of foil?

Answers

The maximum length of foil will be 6732.84 cm or 67.3284 m

To find the maximum length of the foil, the given datas are:

Width of roll of foil = 304 mm

Height or thickness = 0.019 mm

Density of foil = 2.7 g/cm³

Mass of foil = 1.05 Kg

What is Density?

Density is the substance's  mass per unit volume. It can be also described by measuring how the particles in the substances tightly packed together.

                              d = m/ v

v = length (l) × width (w) × height (h)

First of we will convert the Kg into gram and mm into cm.

For 1 Kg = 1000 g

1.09 × 1000 = 1090 g

For 1 cm = 10 mm

304 / 10 = 30.4 cm

0.019 / 10 =  0.0019 cm

Now we will put the values in formula:

d = m/ l× h× w

l = m / d × h× w

l = 1050 g / 2.7 g/cm³× 30.4 cm × 0.0019 cm

l = 1050 g/ 0.155952 g/cm

l = 6732.84 cm or 67.3284 m

The maximum length of foil will be 6732.84 cm or 67.3284 m

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Infrared radiation has wavelengths ranging from about 800 nm to 1 mm. What is the corresponding frequency of radiation of a wavelength of 970 nm?.

Answers

The corresponding frequency of infrared radiation of a wavelength of 970 nanometer (nm) is 3 x 10^14 Hertz.

The relation between the frequency and wavelength of a radiation is as follows:

c = f x λ

Here c = speed of light = 3 x 10^8 m/s

So, the frequency of a given wavelength can be calculated by applying the above formula,

Putting λ = 970 nm = 970 x 10^-9 m

3 x 10^8 m/s = f x 970 x 10^-9

f = 3 x 10^14 Hz.

Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.

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A 6 kg object has a speed of 24 m/s. What is its kinetic energy?

Answers

Answer:

K.E = 1/2mv²

K.E = 1/2 * 6 * 24²

K.E = 1728J

Explanation:

At which lettered point or points is the object moving to the left, if the positive x-direction corresponds to its rightward movement?

Answers

At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.

Δx = [tex]X _{2}[/tex] - [tex]X_{1}[/tex]

where,

Δx = Change in position

[tex]X _{2}[/tex] = Final position

[tex]X_{1}[/tex] = Initial position

If Δx is positive, the object is moving forwards ( Right ).

If Δx is negative, the object is moving backwards ( Left ).

If the curve is moving from top to bottom Δx will be negative and if the curve is moving from bottom to top Δx will be positive.

So, in this given curve, at the points B, C and D, the curve is moving from bottom to top meaning that the object is moving to the right and at the point F, the curve is moving from top to bottom meaning that the object is moving to the left.

Therefore, At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.

The given question contains no distance - time graph. I considered the attached image as the graph.

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The amount of downward force exerted by an object under the pull of gravity is its?

Answers

The correct answer for the amount of downward force exerted by an object under the pull of gravity is its Weight.

Weight is a restraining force. The magnitude of weight is denoted by the symbol w. Galileo was instrumental in demonstrating that, in the absence of air resistance, all objects fall with the same acceleration g. Normal force is defined as the force exerted on an object by a surface. When an object is at rest, its net force is equal to zero; thus, the downward force (weight) must equal the upward force (normal force). Because weight acts downward, it will be negative. It is determined by the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The weight formula is F = m 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the mass in kg .

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Find the power that is absorbed or supplied by the network elements in fig p1.32

Answers

The power that is absorbed or supplied by the network elements is 32 W

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Looking at diagram (a), we will analyze each element separately.

P(2A) = -20(2)

(Negative because the current is entering the negative terminal)

P(2A) = -40W

Which means 40W of power is supplied by the 2A element.

P1 = (6)(2)

P1 = 12W

Therefore, 12W of power is absorbed by element 1.

P(14v) = (14)(2)

P(14v) = 28W

Thus, 28W are absorbed by the 14v element.

We will now look at diagram (b).

P(4A) = (16)(−4)

P(4A) = −64W

Which means 64W are supplied by the 4A element.

P1 = (8)(4)

P1 = 32W

P1 = 32W

Therefore, 32W are absorbed by element 1.

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According to the giant impact hypothesis about the formation of the moon. Why did the earth not break apart into many pieces when the giant impact happened?

Answers

The earth could not be broken apart by the impactor since it was formed of such light material (mostly gas and liquid).

What are the basic features of the theory of the enormous impact ?

According to the Giant Impact Hypothesis, which is the most widely accepted theory for how the moon formed, the Earth and a Mars-sized object called Theia collided with each other as they were forming as protoplanets. The moon was created from a large amount of debris. According to this theory, the Moon was created after the Earth collided with a smaller planet that was around Mars' size. The Moon was created when the impact's leftover debris gathered in an orbit around Earth.

The larger body may have caught the iron core of the striking object.

The key to this theory is understanding how consciousness works and harnessing its power for good. By doing so, we can help to manifest positive changes in our world collectively.

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Can you physically touch a person without that person touching you with the same amount of force?.

Answers

No, you cannot physically touch a person without that person touching you with the same amount of force.

According to Newton's third law of motion, for every action there is an equal and opposite reaction which means that when two objects come in physical contact with each other the exert forces on one another that is equal in terms of magnitude and opposite in terms of direction.

So, in this case you physically touch a person with x amounts of force and basically they exert the same amount of force on you.

Therefore, you cannot physically touch a person without that person touching you with the same amount of force.

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The coupling constant (j) for bromoethane is 7 hz when the 1h nmr spectrum is acquired at 250 mhz. what is the coupling constant between these protons when the spectrum is acquired at 500 mhz?

Answers

The coupling constant between these protons when the spectrum is acquired at 500 MHz is 7Hz.

Coupling Constant:

The coupling constant of a molecule changes when the molecular structure of the component varies. Thus the coupling constant of a particle doesn't depend on the strength of the field and other factors.

Given that,

The coupling constant of bromoethane when the spectrum acquired is

J=7Hz.

The frequency acquired for the coupling constant is f=250MHz

The coupling constant of a molecule is independent of the resolution thus if the resolution of the molecule is either 250 MHz or 500 MHz or any other value the coupling constant remains the same. It only varies when the molecular structure of the element changes.

Therefore,

Thus the coupling constant of Bromoethane at 500 MHz is 7Hz.

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What is the electric flux passing through a gaussian surface that surrounds a 0.075 c point charge?

Answers

An 0.075 c point charge's surrounding gaussian surface's electric flux  is 8.5 ×10⁹Nm²/C.

Which is a gaussian surface?

In three dimensions, the Gaussian surface is referred to as a closed surface where the flux of a vector field may be determined. The gravitational field, the electric field, or the magnetic field are all examples of these vector fields.

Why is a Gaussian surface drawn?

We build a fictitious Gaussian surface around the supplied surface when the surface of which an electric field or flux must be established is asymmetrical or the surface area is challenging to obtain, such as the surface area for an infinitely long wire or plane. The Gaussian surface is said to utilize symmetry the best.

When a charge q is surrounded by a gaussian surface, the electric flux that passes through it is

[tex]\phi=q / \epsilon 0[/tex]= 0.075 / ( 8.85 ×10⁻¹²)

= 8.5 ×10⁹Nm²/C.

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Marcus is driving his car at 15 km/h when he brakes suddenly. he comes to a complete stop in 2 seconds. what was his acceleration in km/h/sec? was his acceleration positive, negative, or zero?

Answers

When Marcus brakes suddenly and comes to a complete stop in 2 seconds the acceleration in km/h/sec is: -7.5 km/h/sec it is negative because it is decelerating

The formula and procedure we will use to solve this exercise is:

a = (vf - vi) /t

Where:

a = accelerationvf = final velocityvi = initial velocityt = time

Information about the problem:

vi= 15 km/hvf = 0 km/ht = 2 seca=?

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 km/h - 15 km/h) /2 sec

a = (-15 km/h) /2 sec

a = -7.5 km/h/sec

Acceleration is negative because it is decelerating

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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Approximately how many women in the sample have a body temperature lower than 98 degrees fahrenheit?

Answers

In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

The correct option is D.

What is Graph?

In mathematics, and much more specifically through the graph theory, a chart is a structure that essentially consists of a set of objects, some of which are paired together to form "related" objects. The related pairs of vertices are known as edges, and the objects are equivalent to mathematical abstractions known as vertices.

What purposes does a graph serve?

Graphs are frequently used to visually represent data relationships. Data that are too numerous or complex to be adequately described in the text and in a smaller amount of space are presented using graphs.

What do graph types mean?

Graphs come in a variety of shapes and sizes, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

According to the given information:

As we can see in the graph:

In class limit 96-97 = 3

In class limit 97-98 = 12

Therefore, 3+12 = 15

Approximately 15 women.

In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.

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I understand that the question you are looking for is:

This histogram shows body temperatures, in degrees Fahrenheit, for 65 healthy adult women. frequency 40 97 98 99 temperature 100 101 Approximately how many women in the sample have a body temperature lower than 98 degrees Fahrenheit?

A. 45

B. 50

C. 20

D. 15

Gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker. how many 7s are needed?

Answers

There are nineteen gym lockers that would have the digit "seven" on them.

How many sevens are there?

In this problem, we need to know the number of gym lockers that would have the number 7 attached to them either as tens or digit as the lockers are numbered from one to ninety nine.

Let us now proceed which lockers would have the digit "seven" on them;

7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97. We can see that there are nineteen gym lockers that would have the digit "seven" on them.

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On newton's color wheel, colors that lie directly between a secondary and primary are called?

Answers

The colors that fall directly between a secondary and a primary on Newton's color wheel are referred to as intermediate colors

Isaac Newton revisited this same white sunlight's rainbow-colored dispersion when he was 23 years old. He noticed that the white sunshine was divided into red, orange, yellow, green, cyan, and blue light when he held a prism of glass in the direction of a beam of sunlight streaming through a hole in the blind of his darkened chamber. He found that the red, green, and blue areas of his rainbow's three distinct colors could be merged to create white light using prisms and mirrors. These are the fundamental hues, as he put it. Secondary hues were created when any two of these were blended. He noticed cyan-colored light when he blended blue and green light.

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The distance and direction an object moves from its starting point?

Answers

Displacement has direction as well as magnitude. Distance traveled is the total length of the path traveled between two positions.

Starting from rest and moving in a straight line, a runner achieves a velocity of 14 m/s in 10 seconds. what is the average acceleration of the runner?

Answers

The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]

An object is said to be accelerated if there is a change in its velocity. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.

Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.

Average acceleration refers to the rate at which the velocity changes. We divide the change in velocity by an elapsed time to find out the average acceleration of anything.

given

final speed = 14 m/s

initial speed = 0

time taken = 10 seconds

Average acceleration = change in speed / change in time

                                    = final - initial / time

                                    = 14 - 0 / 10 = 1.4 m/[tex]s^{2}[/tex]

The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]

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When you push against a wall with your fingers, they bend. Identify the force or forces involved.

Answers

Using your arm, and fingers, bending your fingers
Other Questions
Product placements in videos, movies, and games are other ways that advertisers strive to reach receivers with filter messages. True or false State two ways in which trade unions could assist workers in addressing non compliance with working conditions Read the following poem. Then, respond to the prompt that follows. The Feeling Is Not Mutual By anonymous I've had them come into my life and leave as fast as they came. Sometimes they seem to fly right in, and they often leave me with pain. They show up unannounced- they often take me by surprise. They suck the life out of me, before I've had time to realize. I meet them in a lot of places- Usually outside when I'm unaware. Their attraction to me is so strong as if they smell love in the air. They annoy me so much that I break out in hives. The thought of them makes me withdraw. The feeling is not mutual-it's unrequited, I don't return their affection at all. In a well-written paragraph of 5-7 sentences, analyze the ambiguous nature of "The Feeling Is Not Mutual." Your response should include: an explanation of your interpretation of the poem's meaning, evidence from the poem (PReP) that supports your interpretation, an explanation of how another reader could interpret the poem differently, and evidence from the poem to support an alternative interpretation. find the sum or standard form of 10+9+7+5+3+1 When lives are in danger, supply chain inefficiencies may result in suffering and/or casualties. helping people in need around the world is part of which emerging field? Exercise 1 Identify the phrase in italics as I for infinitive, G for gerund, or P for participial.Jims goal, getting elected, was achieved through hard work. When performing what kind of cut, do you roll the leaves up like a cigar and then slice along the top with the thickness being up to you?the answer is chiffonade An ion of aluminum has a charge of 3 . the ion contains 10 electrons. how many protons does a neutral atom of aluminum possess? a. 3 b. 10 c. 13 d. 16 Based only on the information given in the diagram, which congruencetheorems or postulates could be given as reasons why ACDE=AOPQ?Check all that apply.AAEA. LLB. AASC. SASD. LAE. HLF. ASA Choose the true statement about african american culture and politics in the 1920s. Solve For x[tex] \tt \red{4x + 2 = -8}[/tex]Thank uh ~ Plastic or Wood?Two students in a science classroom are debating about whetherthe tables are made of wood or plastic. As the teacher passes by,she suggests, "Use cell theory to find the truth!" How did andrew jackson appeal to voters during the election campaign of 1828? question 3 options: he used slogans, posters, and songs. he wrote articles and gave speeches. he traveled to every state to meet with legislators. he had a campaign train that toured the country. Two primary acid-base disorders that are present independently are referred to as:____. What is the purpose of the NASA Star Finder?(1 point) . To observe stars and other distant objects in space. To see how constellations change positions in the sky throughout the year. To include new stars and constellations that are discovered every month. To provide images of constellations from month to month. Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?A. 4bB. 4 - bC. b + 4D. b - 4 Company k incurs a $22,000 deductible expense. compute the current year tax savings from the deduction assuming that:_________ Write a linear cost function for the situation. Identify all variables used.A parking garage charges 3 dollars plus 45 cents per half-hour.Identify all variables used. Choose the correct answer below.Part 2 of 2O A. C(x) represents the number of hours the parking garage was used after paying x dollars.B. C(x) represents the number of half-hours the parking garage was used after paying x dollars.C. C(x) represents the cost for using the parking garage for x half-hours.OD. C(x) represents the cost for parking x cars in the parking garage.A linear cost function for the situation is C(x) =(Use integers or decimals for any numbers in the expression.) Need the answer badddd without this app Id be screwed To discover the plasma concentrations that produce the desired drug effect without toxicity means to establish the drug's:______.