The National Institute of Health is testing sensors which measure the energy felt by goalkeepers when blocking soccer balls coming at them and the velocity of soccer balls. One sensor measuring velocity is inside a 16 ounce soccer ball, which is kicked by a player at an initial velocity of 31 m/s. The ball bounces off the goalkeeper at a final velocity of 2.25 m/s. How much energy in Joules should the sensor say the goalkeeper absorbed, not accounting for wind and drag

Answers

Answer 1

Answer:

E = 216.76 J

Explanation:

The amount of energy absorbed by the goalkeeper will be equal to the difference between the initial and the final kinetic energy of the ball.

[tex]Energy\ Absorbed = Initial\ Kinetic\ Energy - Final\ Kinetic\ Energy\\Energy\ Absorbed = E = \frac{1}{2}mv_{i}^2 - \frac{1}{2}mv_{f}^2\\E = \frac{1}{2}m(v_{i}^2 - v_{f}^2)\\[/tex]

where,

m = mass of ball = (16 ounce)(0.0283495 kg/1 ounce) = 0.4535 kg

vf = final velocity = 2.25 m/s

vi = initial velocity = 31 m/s

Therefore,

[tex]E = \frac{1}{2}(0.4535\ kg)[(31\ m/s)^2 - (2.25\ m/s)^2][/tex]

E = 216.76 J


Related Questions

The work-energy theorem states that a force acting on a particle as it moves over a ______ changes the ______ energy of the particle if the force has a component parallel to the motion. Choose the best answer to fill in the blanks above: Choose the best answer to fill in the blanks above: distance / potential distance / kinetic vertical displacement / potential none of the above

Answers

Answer: The work-energy theorem states that a force acting on a particle as it moves over a DISTANCE changes the KINETIC energy of the particle if the force has a component parallel to the motion.

Explanation:

The work- energy theorem states that the work done when forces act on particles as it moves over a distance is equal to the change in Kinetic energy of the particle if the force has a component parallel to the motion. To express this definition an equation is used:

W= ∆K.E =(final K. E. - initial K. E)

Therefore W= ½mv²(final) - ½mv²(initial)

Where W is work done by net force and

K.E ( final minus the initial) is the particle change in Kinetic Energy.

According to this theorem, when an object slows down, its final kinetic energy is less than its initial kinetic energy, the change in its kinetic energy is negative, and so is the net work done on it. If an object speeds up, the net work done on it is positive. When calculating the net work, you must include all the forces that act on an object.

This theorem also shows that since work done on a particle can lead to change in its kinetic energy, it implies that work can transfer energy from one form to another.

Answer:

The work-energy theorem states that a force acting on a particle as it moves over a distance changes the kinetic energy of the particle if the force has a component parallel to the motion.

Explanation:

The correct answer is presented below and all reasons are presented to explain all facts:

The work-energy theorem states that a force acting on a particle as it moves over a distance changes the kinetic energy of the particle if the force has a component parallel to the motion.

Reasons:

According to the Work-Energy Theorem, the work done on a particle ([tex]W[/tex]) equals the change in its kinetic energy ([tex]\Delta K[/tex]). That is:

[tex]W = \Delta K[/tex] (1)

By definition of work we expand this definition:

[tex]\oint \vec F\,\bullet\,d\vec s = \Delta K[/tex] (2)

Where:

[tex]\vec F[/tex] - Vector force.

[tex]\vec s[/tex] - Vector travelled distance.

And by definition of dot product we conclude that:

[tex]\int\limits_{A}^{B}{\|\vec F\|\cdot \|d\vec{s}\|\cdot \cos \phi} = \Delta K[/tex]

Where:

[tex]\|\vec F\|[/tex] - Magnitude of the vector force.

[tex]\|d\vec s\|[/tex] - Magnitude of the differential of the vector travelled distance.

[tex]\phi[/tex] - Angle between vectors, measured in sexagesimal degrees.

[tex]A, B[/tex] - Initial and final position of the particle.

From this expression we infer that change in kinetic energy is maximum if and only if [tex]\phi = 0^{\circ}[/tex] in every point of the path travelled by the particle. In addition, change in kinetic energy occurs when component of force parallel to path is not zero.

a car whose tires have radii of 50cm travels at 20km/h. what is the angular velocity of the tire​

Answers

Answer:

0.225 s^-1

Explanation:

Please mark as brainliest

The angular velocity of the tire is 11.12 rad/s.

Angular velocity: This is the change in angular direction per time. The S.I unit is rad/s.

⇒ Formula:

v = rω.................... Equation 1

⇒ Where:

v = linear velocity of the carr = radius of the carω = angular velocity of the car

⇒ Make ω the subject of the equation

ω = v/r.............. Equation 2

From the question,

⇒ Given:

v = 20 km/h = 20(1000)/(3600) m/s = 5.56 m/sr = 50 cm = 50/100 = 0.5 m

⇒ Substitute these values into equation 2

ω = 5.56/0.5ω = 11.12 rad/s

Hence, The angular velocity of the tire is 11.12 rad/s

Learn more about angular velocity here: https://brainly.com/question/20432894

Which of these is NOT a form of energy?
A. mechanical
B. chemical
C. theoretical
D. thermal

Answers

c. theoretical. the rest are energy forms

Answer:

I think it's theoretical.

how are characteristics of electromagnetic waves affected by medium

Answers

Answer:

Hello,

QUESTION)

Light is an electromagnetic wave, its speed is maximum in space and almost in the air where interactions have almost no effect. In other non-opaque media, light is subject to several phenomena: refraction and reflection. Part of the incident ray will be reflected in the same medium while the other part will be refracted in the new medium with a lower speed. In general, the medium influences the speed, and therefore the wavelength.  

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. When you push the platform, you compress the springs. You do an amount of work of 76.0 J when you compress the springs a distance of 0.170 m from their uncompressed length.
(a) What magnitude of force must you apply to hold the platform in this position?
(b) How much additional work must you do to move the platform 0.200 m farther, and what maximum force must you apply?

Answers

Answer:

[tex]894.12\ \text{N}[/tex]

[tex]284.013\ \text{J}[/tex]

Explanation:

U = Energy = 76 J

x = Displacement of spring = 0.17 m

k = Spring constant

Energy is given by

[tex]U=\dfrac{1}{2}kx^2\\\Rightarrow k=\dfrac{2U}{x^2}\\\Rightarrow k=\dfrac{2\times 76}{0.17^2}\\\Rightarrow k=5259.51\ \text{Nm}[/tex]

Force is given by

[tex]F=kx\\\Rightarrow F=5259.51\times 0.17\\\Rightarrow F=894.12\ \text{N}[/tex]

The magnitude of force must you apply to hold the platform is [tex]894.12\ \text{N}[/tex].

Now [tex]x=0.17+0.2=0.37\ \text{m}[/tex]

[tex]U=\dfrac{1}{2}kx^2\\\Rightarrow U=\dfrac{1}{2}\times 5259.51\times 0.37^2\\\Rightarrow U=360.013\ \text{J}[/tex]

Additional energy

[tex]360.013-76=284.013\ \text{J}[/tex]

What is relative density?​

Answers

Relative density, or specific gravity, is the ratio of the density of a substance to the density of a given reference material. Specific gravity for liquids is nearly always measured with respect to water at its densest; for gases, the reference is air at room temperature.

A student adds 5 grams of vinegar to 7 grams of baking soda in a sealed bag. Then she watches the bag inflate as a chemical
reaction occurs. Which of these amounts is a CORRECT prediction of the mass of the materials in the container after the reaction is
complete?

Answers

Answer:

The mass will stay the same if the bag stays sealed.

Explanation:

which of the following characteristics is most useful for flower identification​

Answers

Answer:

basically needing sunlight and water

Explanation:

hope it helps

faraday's law states that the potential difference can be increased by... (choose all that apply)

1. using static electricity instead of current electricity

2. increase the number of coils, increase the strength of the magnet
3. using a bunch of small magnets
4. increasing the time used to power up an electromagnet
5. increase the speed of the magnet

Answers

Id say its the last option of the fourth option

Explanation:

Answer:  

1:increase the number of coils, increase the strength of the magnet

2:increase the speed of the magnet

3: increasing the time used to power up an electromagnet

Explanation:

1). Increasing the number of turns of wire in the coil – By increasing the amount of individual conductors cutting through the magnetic field, the amount of induced emf produced will be the sum of all the individual loops of the coil, so if there are 20 turns in the coil there will be 20 times more induced emf than in one piece of wire.

2). Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced.

3). Increasing the strength of the magnetic field – If the same coil of wire is moved at the same speed through a stronger magnetic field, there will be more emf produced because there are more lines of force to cut.

The diagram illustrates the movement of sound waves between an observer and a race car. As the race car drives away from the observer, notes that the sound from the car gets quieter and the pitch lowers. Which statement is the MOST plausible question the observer might ask to explain the
phenomenon she experiences?
A. Why does the sound of the engine change as the car drives away?
B. What is the effect of the change in speed of the car and the pitch of the sound?
C. What is the relationship between the volume of the sound and the pitch of the sound
of the car?
D. How do changes in frequency and amplitude affect the pitch of the sound generated
by the car?

Answers

I believe the answer is d

. Four railroad cars, each of mass 2.50 104 kg, are coupled together and coasting along horizontal tracks at a speed of vi toward the south. A very strong but foolish movie actor, riding on the second car, uncouples the front car and gives it a big push, increasing its speed to 4.00 m/s southward. The remaining three cars continue moving toward the south, now at 2.00 m/s. (a) Find the initial speed of the cars. (b) How much work did the actor do

Answers

Answer:

a)     v₀ = 2.5 m / s,   heading south.

b)  W = 1,219 10⁵ J

Explanation:

a) For this exercise we can use the conservation of the moment, we create a system formed by all the 4 cars, in this case when the last one separates the forces are intense and the moment is conserved

initial instant. Before separation

        p₀ = M v₀

final instant. When uncoupling the last car

        p_f = 3m v₁ + m v₂

where they indicate that the speed of the wagons is v₁ = 2.00 m / s and the speed of the last wagon is v₂ = 4.00 m / s

the total mass is M = 4m

how the moment is preserved

           p₀ = p_f

         4m v₀ = 3m v₁ + mv₂

         v₀ = ¾ v₁ + v₂ / 4

let's calculate

           v₀ = ¾ 2 + ¼ 4

           v₀ = 2.5 m / s

heading south.

b) work is equal to the change in kinetic energy

              W = ΔK = K_f -K_o

              W = ½ m v_f² - ½ m v₀²

               W = ½ m (v_f² -v₀²)

               W = ½ 2.50 10⁴ (4² - 2.5²2)

               W = 1,219 10⁵ J

A police officer uses a radar gun that emits electromagnetic waves with a frequency of 10.525 GHz (1.0525 1010 Hz). Assume the police officer is at rest, and is aiming the radar gun at vehicles traveling either directly toward, or directly away from, the radar gun. Assume the speed limit is 110 km/h, as it is on many Canadian highways. The police officer observes reflected waves that have a frequency of 2460 Hz below the frequency of the emitted waves.

Required:
a. At what speed is the car moving?
b. Choose the two correct statements about this situation.

1. The car is moving toward the police officer.
2. The car is moving away from the police officer.
3. The police officer should not cite the driver for speeding.
4. The police officer should cite the driver for speeding.

Answers

Answer:

Explanation:

For Doppler effect in radar the formula is as follows

Δf = f₀ x 2v /c

Δf is change in frequency in reflected wave , f₀ is original frequency , v is velocity of source and c is velocity of right .

Δf  = 2460 Hz , f₀ = 1.0525 x 10¹⁰ Hz , v = ? c is velocity of light .

2460 =  1.0525 x 10¹⁰ x 2 v / 3 x 10⁸

2460 = 105.25 x 2 v / 3

v = 2460 x 3 / (105.25 x 2 )

v = 35 .06 m /s .

(b)

Since the observed frequency is less , the source is moving away from the observer .

option (2) is correct .

I need help with science please, ill give brianlist’s :

Question 1 :The size of a plant cell may change depending upon the amount of water it receives.

True
False
________________________________

Question 2: Chloroplasts are a category of organelles found in the cells of green plants.

True
False
_______________________________

Question 3: Photosynthesis in plants produces water and carbon dioxide.

True
False

Answers

Answer:

true , true, and I'm not sure about the last one!

Explanation:

The answer Is True!!! Good luck

PLEASE HELP ME WITH THIS ONE QUESTION
1000 J of energy is given to a balloon via a heating device. Assuming the pressure is a constant 101,325 Pa, what is the final volume of the balloon, assuming it started at 0.001 m3?

Answers

Answer:

Vf = 0.0108 m³

Explanation:

Assuming there is no change in internal energy, we can calculate the changed volume by the following formula:

[tex]Energy\ Supplied = Work = W = P \Delta V \\W = P(V_{f}-V_{i})\\[/tex]

where,

W = Work = Energy Supplied = 1000 J

P = Pressure = 101325 Pa

Vf = Final Volume = ?

Vi = Initial Volume = 0.001 m³

Therefore,

[tex]1000\ J = (101325\ Pa)(V_{f}-0.001\ m^3)\\\\V_{f}-0.001\ m^3 = \frac{1000\ J}{101325\ Pa}\\\\V_{f} = 0.001\ m^3 + 0.0099\ m^3[/tex]

Vf = 0.0108 m³

what is the formula that describes the magnitude of impulse on an object?

Answers

Answer:

Option C.

Impulse = mass × change in velocity

Explanation:

Impulse is defined by the following the following formula:

Impulse = force (F) × time (t)

Impulse = Ft

From Newton's second law of motion,

Force = change in momentum /time

Cross multiply

Force × time = change in momentum

Recall:

Impulse = Force × time

Thus,

Impulse = change in momentum

Recall:

Momentum = mass x velocity

Momentum = mv

Chang in momentum = mass × change in velocity

Change in momentum = mΔv

Thus,

Impulse = change in momentum

Impulse = mass × change in velocity

After landing on an unexplored Klingon planet, Spock tests for the direction of the magnetic field by firing a beam of electrons in various directions and by recording the following observations:1. Electrons moving upward feel a magnetic force in the northwest direction.2. Electrons moving horizontally toward the north are pushed downward.3. Electrons moving horizontally toward the southeast are pushed upward.Mr. Spock therefore concludes that the magnetic field at this landing site is in which direction?A) toward the eastB) toward the northeastC) toward the southwestD) toward the southeastE) toward the west

Answers

Answer:

the correct one is C,

Explanation:

The magnetic force is given by the expression

        F = q v x B

where the bold letters indicate vectors, we can find the modulus of this expression

         F = q v B sin θ

The direction of the to the force with the rule of the right hand. The thumb applies in the direction of the speed, the fingers extended in the direction of the magnetic field and if the charge is positive the palm is in the direction of the force, if the charge is megative the force is in the opposite direction to the palm of hand.

Let's analyze the different situations presented; As the particles emitted are electrons, their charge is negative.

Situation 1. The thumb points upwards, the force is towards the NW as the charge is negative, the palm points towards the SE therefore the finger points towards the SOUTHWEST which must be the direction of the magnetic field

Situation 2. the electrons go horizontally to the north the thumb points in this direction, the force is downwards, therefore the palm points upwards, the extended fingers point to the WEST

Situation 3. the thumb points to the SE towards where the electrons move, the force is upwards the palm points to the SW, therefore the fingers extended points SOUTHWEST

As a result of situations 1 and 3 the magnetic field must point in the SOUTHWEST direction.

Situation 2 gives a different result because the component of the field that is directed to the south does not create exerts and therefore cannot be detected.

When checking the answers, the correct one is C

In fatal crashes, more than __________% of passenger car occupants who were totally ejected from the vehicle were killed.

Answers

Answer:

it would be 83% in a fatal crash.

The collision of objects which generates thermal energy is called _______________________________
A
Conduction

B
Force

C
Power

D
Newton

Answers

Power
...............

Answer:

a. Conduction

Explanation:

A Cambra pouce car traveling at 28 m/s slow
at a rate of at 3.6 m/s every second find.
a) The time taken for the police car to come to Stop?​

Answers

Answer:

t = 7.8 seconds

Explanation:

Given that,

The initial speed of the car, u = 28 m/s

Acceleration of the car, a = 3.6 m/s²

We need to find the time taken for the police car to come to Stop. When it stops, its final speed is equal to 0. So, using the equation of kinematics to find it i.e.

[tex]v=u+at\\\\0=28+3.6t\\\\t=\dfrac{28}{3.6}\\\\t=7.8\ s[/tex]

So, the required time is 7.8 seconds.

how much force is needed to accelerate a 2500kg car at a rate of 4m/s2​

Answers

Answer:

10,000 N

Explanation:

Using Newton's Second Law of Motion, Force = Mass*Acceleration.

Plugin 2500 kg for the mass and 4 m/s^2 for the acceleration.

Force = 2500 kg*4 m/s^2 = 10000 Newtons

(SI unit of force is Newtons)

Why are special techniques and extinguishing agents are required to fight combustible metals fires?

Answers

Cucucicicicivigovogovphphpbpb

11. There are 2 main reasons geologists think the continents were once connected. One
reason is that some coastlines share similar fossils. What is the other reason? II

Answers

Answer:

they all kinda fit together like a puzzle also because they can tell now that the continates are moving so, they can asume that they have always been moving

Need a little help here, ASAP please. The subject is simple science, not physics.

Answers

Shape, because a liquid can have mass, volume, and color, but it cannot have a definitive shape

Help please thank you

Answers

anser: 27s PoP

Explanation:

1 is the force, so the equal antiforce will be 1. weight of car divided by force from engine

34 pop / s = 129

27pOp


What must exist for the engineering process to begin?
a. a problem
ь.a solution
c. research
d. scientific tools

Answers

Answer:

d

Explanation:

rzp-yyib-oiv

plèase jóin ón góógle mèèt

Answer:

a. a problem

Explanation:

The engineering process begins by defining a problem and completing background research on the problem.

A 55.0 kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 15.0 m. She reaches the bottom of her motion 40.0 m below the bridge before bouncing back. Her motion can be separated into an 15.0 m free-fall and a 25.0 m section of simple harmonic oscillation. Use the principle of conservation of energy to find the spring constant of the bungee cord.

Answers

Answer:

[tex]69.06\ \text{N/m}[/tex]

Explanation:

m = Mass of bungee jumper = 55 kg

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

h = Height at the bottom = 40 m

k = Spring constant

x = Displacement of bungee cord = 25 m

Applying the principle of conservation of energy to the system we have

[tex]mgh=\dfrac{1}{2}kx^2\\\Rightarrow k=\dfrac{2mgh}{x^2}\\\Rightarrow k=\dfrac{2\times 55\times 9.81\times 40}{25^2}\\\Rightarrow k=69.06\ \text{N/m}[/tex]

The spring constant of the bungee cord is [tex]69.06\ \text{N/m}[/tex].

Two resistors R1 = 3 Ω and R2 = 6 Ω are connected in parallel. What is the net resistance in the circuit?​

Answers

Answer:

"" is the net resistance in the circuit.

Explanation:

The given resistors are:

R1 = 3Ω

R2 = 6Ω

The net resistance will be:

⇒  [tex]\frac{1}{R_{net}} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]

On substituting the values, we get

⇒  [tex]\frac{1}{R_{net}} =\frac{1}{3} +\frac{1}{6}[/tex]

On taking L.C.M, we get

⇒  [tex]\frac{1}{R_{net}} =\frac{2+1}{6}[/tex]

⇒  [tex]\frac{1}{R_{net}} =\frac{3}{6}[/tex]

⇒  [tex]\frac{1}{R_{net}} =\frac{1}{2}[/tex]

On applying cross-multiplication, we get

⇒ [tex]R_{net}=2 \Omega[/tex]

Find the velocity of a dolphin that swims 55 m in 5.0 s.

Answers

Answer: 11 m/s

Explanation: velocity = distance /time = 55 m /5.0 s

Answer:40km/h

Explanation:

What is Gravity?
PLEASE ANSWER ​

Answers

Answer:

Gravity is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun.

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

GRAVITY:

In physics, gravity is the force that attracts a body towards the centre of the earth, or towards any other physical body having mass.

A 1.5 V battery produces 41.8 mA when it is across a 30.0 Ω load. The potential difference across the battery's terminals is

Answers

Answer:

Explanation:

V = I R

V = 0.0418 * 30

V = 1.254

this battery seems dead  :P

Answer:

Explanation:

Let's just assume that the battery has no internal  resistance. If we get an absurd answer, we'll come back and look at that assumption.

E = I * R

I = 41.8/1000 amps = 0.0418

R = 30.0 ohms

E = 0.0418 * 30

E = 1.254 volts. This is an OK answer. The battery is a little old.

Other Questions
Batteries R Us is a manufacturer of batteries and are testing a new production technique for their most popular battery type. It is known that the mean lifetime of these batteries made using the previous production technique was 69 hours. The standard deviation in battery lifetime is 5.0 hours and it is assumed that this has not changed. They would like to know whether mean battery lifetime has increased with the new production technique. The following sample data of battery lifetimes has been collected from a random sample of 40 batteries made using the new manufacturing technique. Battery lifetimes (hours) 82.5 78.4 80.2 78.7 67.8 76 74.8 73.9 68.8 70.3 70.7 70.7 77.9 80.5 73.8 80.979.2 74.173.2 76.1 69 73 70.9 63.3 67.8 78.5 68.7 67.5 68.2 68.2 73.3 75.4 73.2 72.2 72.6 72 71.3 69.9 69.6 70.4 Required:a. Conduct a hypothesis test to test whether the new manufacturing process has increased mean battery lifetime.b. Calculate the test statistic. On a page of text, where would you most likely find a subheading, which is a type of title? Use your knowledge of the prefix sub- to help you answer. A. next to the main title B. above the main title C. at the top of the page D. beneath the main title what is the formula for tetrahydrogen monocarbide Alfie tossed a paper cup in the air 350 times and recorded whether it landed right side up, upside down, or on its side.If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?a:30b:48c:54d:60 Which form of electromagnetic radiation is more energetic than ultraviolet rays?X-raysBInfrared radiation CMicrowavesDViolet light Need help ASAP PLS SCIENCE WILL MARK BRAINLIESTEstimate the area of the parallelogram.A) 60 sq. units B) 68 sq. units C) 72 sq. units D) 84 sq. units Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem. what should be subtracted from 3 by 5 to get 1 by 5 I WILL GIVE BRAINLIST EASY QUESTIONWhat was done to turn the parallelogram into a rectangle?Hint (The length of the segment the figure was cut along is the height of the parallelogram) Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. Which statement about the two pricing plans is true?A Photographer A equipment fee is $25\$ 25$25 less than Photographer BB Photographer B equipment fee is $25\$ 25$25 less than Photographer AC Photographer B charges $15\$ 15$15 per hour more than Photographer AD Photographer A charges $15\$ 15$15 per hour more than Photographer B Articulation therapy involves A handbag company had 5% of the market in 2011 in 2015 it had 23%.(a) Write a linear equation expressing the percentage of the luxury handbag market y that the company had x years after 2000 help with 1,3,5.7,9,11 how many toes do i have? giving brainiest if right! I have an old alarm clock, on which the hands move at only 95% of the speed that they should do.I need it to wake me up at 7.30 am, so every night, at 10.30pm, I change the time shown on theclock so that it will show the correct time at 7.30 am when the alarm goes off.(a) What time does the clock show at 10.30 pm, immediately before I change it?(b) What time do I change it to?Please help immediately!!! Earthquakes and volcano eruption are rare events is this true or false If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choosethe chart that best evaluates the data. how does he plan to use the pack of cigaretts in catbird Which is an odd monomial function?y=2x^3Y= 1/xY = 5x^-9O y= 3