If a car has a velocity of 8 m/s and travels for 60 seconds, what was the displacement of the car?

Answers

Answer 1

Answer:

68

Explanation:

now it


Related Questions

Someone says, "When we burn coal, we are using the energy of ancient sunlight." Write a scientific explanation of what this means.

Answers

Coal is a fossil fuel. Fossil fuels are formed from buried remains of plants and animals that lived millions of years ago. These ancient remains fossilize into coal.

2. How far did the car travel between 0 and 10 seconds?

Answers

the car traveled approximately 0.0833 miles (or about 139.2 yards) between 0 and 10 seconds.

To determine how far the car traveled between 0 and 10 seconds, we need to know the car's speed during that time period. If we assume that the car was traveling at a constant speed, we can use the formula distance = speed x time to calculate the distance traveled.
Let's say that the car was traveling at a speed of 30 miles per hour (mph) between 0 and 10 seconds. We need to convert this speed to miles per second, which is 0.00833 miles per second (30 mph ÷ 3600 seconds per hour).
Using this speed and the time period of 10 seconds, we can calculate the distance traveled as follows:
distance = speed x time
distance = 0.00833 miles per second x 10 seconds
distance = 0.0833 miles
Therefore, the car traveled approximately 0.0833 miles (or about 139.2 yards) between 0 and 10 seconds.
It's important to note that this calculation assumes that the car was traveling at a constant speed during the entire 10-second period. If the car's speed changed during this time, the distance traveled would be different.

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If I hold an .63kg basketball 2 meters above the
ground, how much potential energy does it have?
If I drop the basketball from this height, how
much kinetic energy would it have right before it hits the floor?

Answers

Answer:

P.E.= 12.348 joules

K.E.=1.26 joules

Explanation:

whispering gallery: the figure below shows the specifications for an elliptical ceiling in a hall designed to be a whispering gallery. in an whispering gallery, a person standing at one focus of the ellipse can whisper and be heard by another person standing at the other focus, because all the sound waves that reach the ceiling from one focus are reflected to the other focus. if the hall below is 140 feet in length with 30 feet tall ceiling at its highest point. how far from the end walls will the foci point be?

Answers

The foci points are approximately 6.75 feet away from the end walls.

To find the distance from the end walls to the foci points in a whispering gallery, you need to use the properties of an ellipse.

For the given hall, the length (140 feet) represents the major axis, and the highest point of the ceiling (30 feet) represents the distance between the center of the ellipse and the top or bottom vertex.
First, find the semi-major axis (a) and the semi-minor axis (b). Since the length is the major axis, divide it by 2 to get the semi-major axis:
a = 140/2 = 70 feet
The highest point of the ceiling is the distance from the center of the ellipse to the top vertex, which is equal to the semi-minor axis:
b = 30 feet
Now, use the formula for the distance between the center of the ellipse and the foci points, which is given by the equation:
c = \(\sqrt{(a^2 - b^2)}\)
Plug in the values of a and b:
c = \(\sqrt{(70^2 - 30^2)}\)
c = \(\sqrt{(4900 - 900)}\)
c = \(\sqrt{(4000)}\)
c = 20√10 feet
So, the distance between the center of the ellipse and each focus point is 20√10 feet.

To find the distance from the end walls to the foci points, subtract this distance from the semi-major axis:
Distance from end walls to foci points = a - c
Distance = 70 - 20√10 ≈ 70 - 63.25 ≈ 6.75 feet
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Which describes refraction? *

10 points

O

Refracted rays travel through a boundary into a new medium.

O

The angle of incidence is the same for angle of refraction

Refracted rays change direction and go back to the original medium

Answers

Answer:

Refracted rays travel through a boundary into a new medium.

Explanation:

Refracted rays travel through a boundary into a new medium. is only true for refraction.

The angle of incidence is the same for angle of refraction, is not true for refraction. Refraction follows Snell's law, states that ratio of the sine of the angle of refraction and the sine of the angle of incidence is always constant and equivalent to the ratio of phase velocities of the two mediums it is passing through.

Refracted rays change direction and go back to the original medium is false for refraction however, it is true for reflection.

at the instant shown, rank these six scenarios on the basis of the magnitude of the current in the light bulb.

Answers

At the instant shown, the six scenarios can be ranked in terms of the magnitude of current in the light bulb as follows:

1) Scenario 1 - Here, the battery is directly connected to the light bulb without any other resistors in the circuit. Therefore, the current flowing through the bulb will be the maximum among all the scenarios.

2) Scenario 3 - In this case, the battery is connected to the light bulb through a resistor. However, the resistance is less compared to other scenarios, so the current will be higher than in other cases.

3) Scenario 4 - Here, the battery is connected to the light bulb through a higher resistance compared to scenario 3. This will result in a lesser current in the bulb.

4) Scenario 5 - In this scenario, the battery is connected to the light bulb through a much higher resistance than in the previous two scenarios. Therefore, the current flowing through the bulb will be lower.

5) Scenario 6 - Here, the battery is connected to the circuit in such a way that the current will bypass the light bulb. Therefore, the bulb will not light up and the current flowing through it will be zero.

6) Scenario 2 - This scenario is similar to scenario 6 where the switch is open, so the circuit is not complete, and hence there will be no current flowing through the light bulb.

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Which of the following is not an acid? A. HCI B. H2SO4 C.HNO3 D. NaOH

Answers

Answer:

NaOH

Explanation:

oxide of a non-metal element is acidic. Na is metal. so NaOH is basic.

Answer:

d is the answer

Explanation:

A frictionless piston-cylinder device as shown in Figure Q4 contains 7.5 liters of saturated liquid water at 275kPa. An electric resistance is installed in it and is being turned on until 3050 kJ of energy is transferred to the water. Assume the piston-cylinder device is well insulated, determine i) the mass of water, kg, ii) the final enthalpy of water, k J/kg, iii) the final state and the quality (x) of water, iv) the change in entropy of water, kJ/kg, and v) whether the process is reversible, irreversible, or impossible. Sketch the process on P−v diagram with respect to the saturation lines.

Answers

A frictionless piston-cylinder device contains 7.5 liters of saturated liquid water at 275 kPa. An electric resistance is turned on until 3050 kJ of energy is transferred to the water.

i) The mass of water can be determined by using the specific volume of saturated liquid water at the given pressure and volume. By using the specific volume data from the steam tables, the mass of water is calculated to be 6.66 kg.

ii) To find the final enthalpy of water, we need to consider the energy added to the water. The change in enthalpy can be calculated using the energy equation Q = m(h2 - h1), where Q is the energy transferred, m is the mass of water, and h1 and h2 are the initial and final enthalpies, respectively. Rearranging the equation, we find that the final enthalpy of water is 454.55 kJ/kg.

iii) The final state and the quality (x) of water can be determined by using the final enthalpy value. The final enthalpy falls within the region of superheated vapor, indicating that the water has completely evaporated. Therefore, the final state is a superheated vapor and the quality is 1 (x = 1).

iv) The change in entropy of water can be obtained by using the entropy equation ΔS = m(s2 - s1), where ΔS is the change in entropy, m is the mass of water, and s1 and s2 are the initial and final entropies, respectively. The change in entropy is found to be 10.13 kJ/kg.

v) The process described is irreversible because the water started as a saturated liquid and ended up as a superheated vapor, indicating that irreversibilities such as heat transfer across a finite temperature difference and friction have occurred. Therefore, the process is irreversible.

On a P-v diagram, the process can be represented as a vertical line from the initial saturated liquid state to the final superheated vapor state, crossing the saturation lines.

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For an observer who stays in one spot when the source of a sound is moving,
the sound wave's:
OA. amplitude increases.
B. amplitude decreases.
OC. frequency changes.
OD. speed increases.

Answers

Answer:

Explanation:

The correct option of the given question will be option © that is frequency changes.

According to the Doppler Effect, when source is moving towards the observer then the frequency increases and when the source is moving away from the observer then the frequency decreases, but the magnitude of the amplitude in both the cases will remain same. Whereas the speed of sound waves will remain constant as it was earlier. According to this effect, when there is a relative motion between the source and the observer then there will be the change in the frequency.

So, the correct answer will be that the frequency changes.

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The dense core of Earth is thought to consist predominantly of ________.
a. copper
b. nickel
c. lead
d. iron

Answers

Option d is Correct. There is a theory that iron makes up a sizable portion of the Earth's thick core.

The outer core is made of liquid iron and nickel and is around 1,367 miles (2,200 km) thick. The outer core's temperature ranges from 8,132 to 9,932 degrees Fahrenheit (4,500 degrees C and 5,500 degrees C). The most common material used to construct earthquake-resistant buildings is steel, which is necessary for developing a structure that can withstand seismic waves.

The World Steel Association claims that because ductile structures disperse seismic wave energy, they are safer. The Earth's inner core contains even more metal than the outer core. Both are primarily comprised of iron with a small amount of nickel. However, lighter elements like oxygen, carbon, and silicon are also assumed to be present in small amounts in the iron.

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now the same block is placed in water, still completely submerged. water is more dense than oil. the tension in the string will ______.

Answers

Now the same block is placed in water, still completely submerged. water is more dense than oil. the tension in the string when the block is submerged in water will be greater than the tension in the string when the block is submerged in oil.

When the same block is placed in water, it experiences an upward buoyant force due to the displacement of water by the submerged part of the block. The buoyant force is given by the formula:

Buoyant force = Density of fluid x Volume of displaced fluid x gravitational acceleration

Since water is more dense than oil, the buoyant force experienced by the block in water will be greater than that in oil. Therefore, the tension in the string, which is equal and opposite to the buoyant force, will be greater in water than in oil.

Thus, the tension in the string when the block is submerged in water will be greater than the tension in the string when the block is submerged in oil. This is because the buoyant force is proportional to the density of the fluid and the volume of fluid displaced, and water is denser than oil.

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HELP ASAP!! WILL MARK BRAINLIEST!! WRITE IN YOUR OWN WORDS!! What is something that you would like to see a physicist develop in the future?

Answers

Answer:

Phones as sunglasses with a mic. I put on my glasses and I say what's the weather today, The sunglasses will tell me the weather and can be charged just like phones

Explanation:

what will happen if you increse the amplitude of a drum hit

Answers

The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.  As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder.

why is the light ray concept a useful model to use when determining the behaviour of light?​

Answers

Answer:

A simplified model that depicts how light behaves as it reflects off mirrors and goes through lenses, in which light is depicted as a straight line or ray that indicates the direction in which the light wave travels. Light must enter your eyes from the thing in order for you to view it.

all energy transformations in an ecosystem begin with
a. a scavenger
b. the sun
c. a decomposer
d. a herbivore

Answers

All energy transformations in an ecosystem starts with the sun.

In the ecosystem, every living being depends on some kind of energy to survive. There are different types of sources of energy in the world. Like: Solar energy, wind energy, tidal energy, fuel energy.

However sun is the only reason behind every transformation of energy. For example wind energy generates from the movement of the wind. But wind is generated due to the pressure difference of two different placed, and this pressure difference is due to the temperature difference of that places. Which ultimately depends on the sun.

In other example, fuel energy derived from the fossils. Fossils are the decomposition of dead plants and animals in the presence or absence of oxygen. But theses plants and animal needs solar energy for photosynthesis and for their survival. So we can say that the sun is the only reason behind every transformation of energy in the eco system.

Hence the option b is correct.

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How cold is it in texas rn?

Answers

Answer:

cold

Explanation:

The image shows the pH value of some common substances. Which statement is true?
A-Pure water is acidic
B-Pure water is basic
C-Pure water is both acidic and basic
D-Pure water is neither acidic nor basic

The image shows the pH value of some common substances. Which statement is true?A-Pure water is acidic

Answers

pure water is both acidic and basic is the correct answer.

Objects 1 and 2 attract each other with a electrostatic force of 36.0 units .If the charge of object 1 is doubled AND the charge of object 2 is tripled ,then the new electrostatic force will be __ units

Answers

Answer:

216 units

Explanation:

F1 = kQ1Q2/r^2 = 36 (Coulomb's law)

F2 = k(2Q1)(3Q2)/r^2

= 6[kQ1Q2/r^2]

= 6F1

= 6 x 36

= 216 units

Examples of Cardiovascular Endurance ( check all that apply)

Answers

Answer:

Cardiorespiratory endurance is the level at which your heart, lungs, and muscles work together when you're exercising for an extended period of time.

...

Other activitiesrunning or jogging.swimming.cycling.dancing.boxing.aerobics or similar activities.any active sport.

What is the ratio of mass A to mass B?

Answers

An object has positive acceleration when it is going faster than it was previously.

Which is object accelerating?

An object has positive acceleration when it is going faster than it was previously.

According to the equation a = v/t, acceleration (a) is the product of the change in velocity (v) and the change in time (t). In terms of metres per second squared (m/s2), this enables you to calculate how quickly velocity varies.

In accordance with Newton's second law of motion, an object's acceleration is determined by its mass and the net force that is exerting on it.

The relationship between object acceleration and mass is inverse for constant force.

As a result, object A's and object B's accelerations are

Object B therefore has the greatest mass.

The least massive object is A.

mass A/mass B is a ratio that is,

\($\frac{m_A}{m_B}=\frac{a_B}{a_A}=\frac{3}{5}$\)

The complete question is:

A constant force applied to object A causes it to accelerate at 5 m/s2. The same force applied to object B causes an acceleration of 3 m/s2. Applied to object C, it causes an acceleration of 7 m/s2.

A. Which object has the largest mass?B. Which object has the smallest mass?C. What is the ratio of mass A to mass B?

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a race car is moving at a constant speed around a track.What about the race car is changing and why

Answers

The answer is Velocity

velocity is speed but with direction and since the car is moving AROUND the track it means the direction is changing so the velocity is changing

A race car is moving at a constant speed around a track. The race car is changing its velocity as the direction of motion changes.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

As the race car is moving at a constant speed around a track, the magnitude of velocity remains same but during race it may changes its direction of motion, that is why, velocity of it, which depends on both magnitude and direction, may changes.

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New traits usually occur due to an organism adapting, random genetic mutations, effects from the environment.

Answers

New traits usually occur in an organism or a population due to random genetic variations or mutations. Thus, the correct option is B.

What are Mutations?

A mutation is a change in the genetic material that occurs in the DNA  (deoxyribonucleic acid) sequence, either due to the mistakes when the DNA is being copied or as the result of the environmental factors such as UV (Ultraviolet) light and cigarette smoke.

Genetic variations in an organism can arise from the gene variants also called as mutations or from a normal process in which the genetic material is rearranged as a cell is getting ready to undergo division known as genetic recombination. Genetic variations which alter gene activity or the protein function can introduce different traits in an organism or a complete species.

Therefore, the correct option is B.

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A caterpillar walks at a constant speed of 0.011 m/s for 120 s. How far does it travel?

Answers

Explanation:

0.011m/s * 120s = 1.32m.

A caterpillar walks at a constant speed of 0.011 m/s for 120 s thus it will go 1.32 m distance.

How to find the speed of an object?

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

\(Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time\)

The distance covered by an object given it's velocity and time taken can be found by using the formula;

Distance = velocity × time

The velocity of caterpillar = 0.011 m/s

The time = 120 s

So we have

Distance  = 0.011 × 120

Distance =  1.32 m

Hence, We have the final answer as 1.32 m

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Please help me with this

Please help me with this

Answers

I can’t see the full pic

Answer:

I can't really see it sorry

The turbine fan blade of a turbojet engine is 1.8 m in diameter and rotates at 300 r/s. How fast is the tip of a blade moving?
Linear and rotational velocity
When a body moves linearly along the straight line or one axis only, then the body is said to have linear velocity. On the other hand, when an object rotates about a fixed point, we call it rotational velocity.

Answers

The tip of the turbine fan blade is moving at approximately 540 meters per second.

What is the velocity of the turbine blade tip?

The tip of the turbine fan blade in a turbojet engine is moving at a considerable speed. To determine its velocity, we need to consider both the linear and rotational aspects of its motion.

First, let's calculate the linear velocity. The diameter of the turbine fan blade is given as 1.8 meters, which means the radius is half of that, or 0.9 meters. The linear velocity can be determined by multiplying the radius by the rotational velocity.

In this case, the blade rotates at 300 revolutions per second, so the linear velocity is 0.9 meters (radius) multiplied by 300 revolutions per second, resulting in 270 meters per second.

Next, to find the velocity of the blade tip, we need to consider the circumference of the circle traced by the blade tip during each revolution.

The circumference is given by 2π times the radius, which in this case is 2π multiplied by 0.9 meters, equal to approximately 5.65 meters. Multiplying this value by the rotational velocity of 300 revolutions per second gives us a tip velocity of approximately 1695 meters per second.

Therefore, the tip of the turbine fan blade in a turbojet engine is moving at approximately 540 meters per second, considering both its linear and rotational velocities.

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The service disconnecting switch for an installation consisting of a limited load on a single branch circuit shall have a rating of not less than ? .

Answers

The service disconnecting switch for an installation consisting of a limited load on a single branch circuit should have a rating of not less than 15 ampere.

A service disconnecting switch is a device which disconnects all the conductors of the system from the main source of supply. The limitation of current is due to the high heat produce. As heat in a conductor is a function of current. Like: H = i²Rt

Where I is the current, R is the resistance of the device, and t is the time of current flow. We can see by the formula that heat is directly proportional to the square of the current. More is the current more will be the heat produced.

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If two different net forces are applied to the same object at different times, which one will cause the object to accelerate at a greater rate — the larger or smaller net force?

Answers

Answer:

The smaller net force :)

Explanation:

The second law shows that if you exert the same force on two objects of different mass, you will get different accelerations (changes in motion). The effect (acceleration) on the smaller mass will be greater (more noticeable).

If two different net forces are applied to the same object at different times, a smaller net force will cause the object to accelerate at a greater rate.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

Newton's second rule states that if you apply the same force to two objects with different masses, the accelerations will be different. The impact will be larger on the smaller mass.

If two different net forces are applied to the same object at different times, a smaller net force will cause the object to accelerate at a greater rate.

Hence smaller rate is the correct answer.

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andre who's mass is 77.1 kg sits on a diving board above a dunk tank if he is sitting 0.90 above the water what is the total

Answers

The total mechanical energy of Andre who's mass is 77.1 kg, sitting 0.90 above the water is 669.39 J

How to calculate mechanical energy?

Assuming there is no friction, the total mechanical energy of Andre is the sum of his potential energy and his kinetic energy:

Total mechanical energy = potential energy + kinetic energy

The potential energy of Andre is given by:

potential energy = mgh

where m is his mass, g is the acceleration due to gravity, and h is the height he is sitting above the water. Substituting the given values, we get:

potential energy = (77.1 kg) x (9.81 m/s²) x (0.90 m) = 669.39 J

The kinetic energy of Andre is zero since he is not moving. Therefore, his total mechanical energy is:

Total mechanical energy = potential energy + kinetic energy = 669.39 J + 0 J = 669.39 J

So, his total mechanical energy is 669.39 J.

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Complete question:

Andre, whose mass is 77.1 kg, sits on a diving board above a dunk tank. If he is sitting 0.90 m above the water, what is his total mechanical energy?

what image that is produced when the object is placed between the focal point and the lens. your statement must contain three characteristics (i.e., type, orientation, size, etc.) about the image to receive full credit. (10 points)

Answers

When the object is placed between the focal point and a convex lens, the image it produces contains these characteristics:

MagnifiedVirtualUpright

A convex lens (converging lens) is a type of lens that is thicker at the center and thinner at the edges. It bends light from distant objects inward toward a point (focal point). A convex lens is generally used to correct farsightedness.

There's three rules for the ray path passing through convex lens

The ray coming parallel to the axis converged on the focus after passing the lens.The ray coming passing the focus becomes parallel to the axis after passing the lens.The ray that passes through the center of the lens goes straight without any direction change.

When those rules is applied to know how the image is produced when an object is placed between the focal point and the lens, you'd find out that the image produced is virtual (located on the same side as the object), upright, and magnified.

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what image that is produced when the object is placed between the focal point and the lens. your statement

What is Newton's Law of Conservation of Momentum?

Answers

Answer: The law of conservation of linear momentum helps to understand the behavior of a Newton's cradle In a closed system. This law is nothing more than action and reaction.it can be used to predict the resulting direction and speed of motion of objects after they collide.

Explanation: Just as an example, when you play pool/8ball, the white play exerts force on the other balls causing them to break away.

hope this helps.

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Exercise 1 Complete each sentence with the correct form of the modifier in parentheses.The professor explored each topic to its ___________ detail. (far) A computer has a bus with a 2-nsec cycle time, during which it can read or write a 64-bit word from memory. The computer has a solid state drive (SSD) that uses the bus and runs at 550 Mbytes/sec. The CPU normally fetches and executes one 64-bit in-struction every 1 nsec. How much does the SSD slow down the CPU What type of power does a manager use when he or she hires new employees, assigns them work, and monitors their performance What choicedemonstrates the Law ofConservation of Mass? after an adjusted trial balance is prepared, what is the next step in completing the work sheet used in preparing financial statements? multiple choice question. sort adjusted trial balance amounts to the adjustments columns. sort adjusted trial balance amounts to the post-closing trial balance columns. sort adjusted trial balance amounts to the financial statement columns. sort adjusted trial balance amounts to the trial balance columns. Really URGENT !!!!40 points and Brainliest Match the following in the picture correctly Radii of the two circles are 8 cm. and 3 cm. (diagram is not to the scale). 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The base of the mountain is at 5,000 meters. A probe is dropped 7,500 meters straight down into Mauna Loa from its summit. At what height is the probe, relative to sea level? How far is the probe from the base of the volcano? 3.25 underage drinking, part i: data collected by the substance abuse and mental health services administration (samsha) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. (a) suppose a random sample of the ten 18-20 year olds is taken. is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? no, this follows the bimodal distribution no, the normal distribution should be used no, the trials are not independent yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome Poem 134: Ode to DirtDear dirt, I am sorry I slighted you,I thought that you were only the backgroundfor the leading charactersthe plantsand animals and human animals. Its as if I had loved only the starsand not the sky which gave them spacein which to shine. Subtle, various,sensitive, you are the skin of our terrain,youre our democracy. When I understoodI had never honored you as a livingequal, I was ashamed of myself,as if I had not recognizeda character who looked so different from me,but now I can see us all, made of thesame basic materialscousins of that first exploding from nothingin our intricate equation together. O dirt,help us find ways to serve your life,you who have brought us forth, and fed us,and who at the end will take us inand rotate with us, and wobble, and orbit. In a short constructed response, discuss the use of sound devices that you see in this poem. Use the terms you've studied in class (alliteration, assonance, consonance, onomatopoeia, iamb, trochee, dactyl, anapest, end rhyme, slant rhyme, rhyme scheme) to explain how sound is used to emphasize the meaning of the poem. Use 2 sound device terms to help explain the meaning of the poem. You should have:* a topic sentence* 2 quotes from the poem* explanation for each quote*a concluding statementMake sure you proofread before you submit and use correct grammar, usage, and mechanics Bai, a young mother, is a victim of domestic violence. She decides to leave her husband, taking her children with her. When Bai goes to the police department to file charges, she is treated disrespectfully. The police seem skeptical of her story and make light of her allegations. When she meets with the prosecutor, he does the same and is hesitant to bring charges. The way that Bai is treated in the criminal justice system can be considered ________ victimization. Can a normal force do work? If not, why not? If so, give an example. The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 318 people entered the park, and the admission fees collected totaled 952.00 dollars. How many children and how many adults were admitted? An exponential relationship has a growth factor of 3 and y-intercept of 4. Evaluate the function that represents this relationship where x = 10. A. Find the derivative of the function f in the following equations below. You do not need to solve for f. 1.6x2 + 5(f(x))? 36 11. 7x2 = 5f(x)2 + 4xf(x) + 1 B. Find the equation of the tangent line at point (1,2) of the following equation. For ease of notation, let y = f() In(x + y) = n'y + In(z? + 2) 4 Determine the hypothesis statements in words and symbols:a. Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 20 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 12 mice takes with the rap music as a stimulus.