vector ????⃗ has a magnitude of 17.9 and its direction is 80∘ counter‑clockwise from the x- axis. what are the x- and y- components of the vector?

Answers

Answer 1

We have vector [tex](17.9*cos80^{0},17.9*sin80^{0})[/tex]

Therefore,

x component = 17.9 * cos80 degree = 3.108

y component = 17.9 * sin80 degrees = 17.628

What is a vector?

An object with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

If the magnitude and direction of two vectors match, they are the same vector. This shows that if we move a vector to a different location without rotating it, the final vector will be the same as the initial vector. The vectors that denote force and velocity are two examples. The direction of force and velocity are both fixed. The size of the vector would represent the force's strength or the velocity's corresponding speed.

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Related Questions

One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280m, z = 0). (c) What If? A uniform electric field is applied to allow this particle to pass through this region unelected. Calculate the required vector electric field.

Answers

The vector electric field is [tex]-1.73 \times 10^{4} {~}\hat{j} {~}N/C[/tex] .

A stream of charged particles, such as electrons or ions, flowing through an electrical conductor or a vacuum is known as an electric current.

One long wire carries a current I = 30.0 A to the left along the x-axis. I' = 50.0 A of current is being carried by a second lengthy wire to the right along the line (y = 0.280 m, z = 0).

Now,

The charge of a particle is q = - 2.00 μC which is moving with a velocity of [tex]v = 150\hat{i} {~}Mm/s[/tex].

At y = 0.1 m the total magnetic field is:

B = 1.16 × 10⁻⁴ T

Then the force on the particle is:

F =q(v × B)

[tex]F = (-2 \times 10^{-6} )[ ( 150 \times 10^{6})\hat{j} \times (1.16 \times 10^{-4})\hat{k} ][/tex]

F = 3.47 × 10⁻² N

A uniform electric field is applied.

Then the vector electric field will be:

F = qE

3.47 × 10⁻² = (-2 × 10⁻⁶ )E

[tex]E = -1.73 \times 10^{4}{~}\hat{j} {~}N/C[/tex]

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Two neutral objects, 1 and 2, are suspended by strings near one another. Object 2 is touched by a positively-charged insulated rod.


Immediately after the insulated rod is removed, Object 1 and Object 2 repel. What causes the two objects to repel?

Answers

Answer:

When 2 objects are in contact with one another and one of them receives a positive or a negative charge, then the objects  will repel one another because they are similarly charged.

bob hits a baseball.what two systems are working together to make this happen

Answers

Answer:

Kinetic Energy and Mechanical energy

Explanation:

dynamical stability of giant planets: the critical adiabatic index in the presence of a solid core kundu, s.k., coughlin, e.r., youdin, a.n., armitage, p.j., 2021, mnras, submitted

Answers

The critical adiabatic index in the presence of a solid core dynamical stability of giant planets is called adiabatic index.

What is adiabatic index?

In warm material science and thermodynamics, the intensity limit proportion, otherwise called the adiabatic record, the proportion of explicit warms, or Laplace's coefficient, is the proportion of the intensity limit at steady strain to warm limit at consistent volume. The Adiabatic Index adding machine processes the adiabatic list ( γ) otherwise called the intensity limit proportion or proportion of explicit warms. Accordingly, for normally happening diatomic gases at close to standard circumstances, the adiabatic file can be roughly viewed as around 7/5 or 1.4. The particular intensity proportion or adiabatic list is connected with the levels of opportunity () of a gas particle by the situation.

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Which of the following is not a component of a normal experiment?
A. Control group
OB. Dependent variable
C. Independent variable
D. Validity group
Reset Selection

Answers

Answer:

D. Validity group

Explanation:

A validity group is not necessarily a component of a normal experiment.

A normal experiment is made up of the dependent variables, independent variables, and most times the control group.

The dependent variable is one that relies on the outcome of the effect produced from the experimental designThe independent variable is the one that causes a desired effect under the study. The control group is a group that does not receive any treatment nor attenuation of the conditions.

A child rides a bicycle in a circular path withí a radius of 3.0 m. The
tangential speed of the bicycle is 2.0 m/s. The combined mass of the bicycle and the child is 43 kg.

Answers

Answer:

57.3N

Explanation:

Given parameters:

radius of the path = 3m

tangential speed  = 2m/s

mass of the bicycle and child  = 43kg

Unknown:

centripetal force  = ?

Solution:

The centripetal force is the inward force on a body round a circular path.

It is expressed as;

    F  = [tex]\frac{mv^{2} }{r}[/tex]  

F is the centripetal force

m is the mass

v is the tangential speed

r is the radius

        F  = [tex]\frac{43 x 2^{2} }{3}[/tex]   = 57.3N

Mankind causes major disruptions within ecosystems

- true

-false

Answers

Answer:

true

Explanation:

common sense i am just guessing.

Answer: True

Explanation: For instance cutting trees for paper.

Hope this helps!! Brainlist? Plz

2 Calculate the mass of a car that hits a wall, during an accident, with a force of 961 N and an acceleration of 31m/s2. (4D) (F = m * a) *

Answers

Answer: 31kg

Explanation:

(F=mxa)

Rearranged

M=f÷a

961÷31=31

two particles, one with charge −3.77 μc and one with charge 6.91 μc, are 5.84 cm apart. what is the magnitude of the force that one particle exerts on the other?

Answers

The magnitude of the force that one particle exerts on the other = [tex]6.8644 \times 10^{13}[/tex] N

Charge of one particle,[tex]Q_1[/tex] = -3.77  μC

Charge of the other particle,[tex]Q_2[/tex]  = 6.91 μC

The opposite signs of the charges implies the presence of force of attraction between the particles.

Given distance between particles, r = 5.84 cm = 0.0584 m

Coulomb's law states that the magnitude of the force exerted between two particles is directly proportional to the product of magnitude of charges of the particle and inversely proportional to the square of the distance between the particles.

From this we can infer the equation, [tex]F=\frac{kQ_1Q_2}{r^2}[/tex]

where F is the force between the particles and k =[tex]9\times 10^9 Nm^2C^{-2}[/tex] is the Coulomb's Constant.

So F = (9 x 10^9 x 3.77 x 6.91)/(0.0584 x 0.0584)

        = [tex]6.8644 \times 10^{13}[/tex] N

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Write a hypothesis based on observations and scientific principles.

Answers

Answer:

An example of a hypothesis based on observation and scientific principles is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

A hypothesis is an informed prediction or a tentative statement about what you think that would occur in a scientific experiment as a result of experience from observations accepted by scientific rules and law.

A hypothesis is a testable statement obtained from the research question but questions cannot be tested directly, it is the proposed relationship between the variables that are tested.

An example of a hypothesis is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

This specifies the direction of the hypothesis because one group is faster than the other.

Explanation:

how does the thickness of wood affect its stability

Answers

Answer:

Making the lumber thick will make it stiff, which seems good. On the other hand, with thicker lumber, differences in expansion on the two faces have more leverage to make the lumber move.

Calculate the current in the above circuit.

Answers

Answer:

4 A

Explanation:

From the question given above, the following data were obtained:

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

From ohm's law,

Voltage (V) = Current (I) × Resistance (R)

V = IR

With the above formula, we can obtain the current flowing in the circuit as illustrated below:

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

V = IR

12 = I × 3

Divide both side by 3

I = 12/3

I = 4 A

Therefore, the current flowing in the circuit is 4 A.

Sound waves cause air to oscillate. What do light waves oscillate?​

Answers

Light waves oscillate a magnetic field and an electric field.

What is the displacement of the object from 12 seconds to 16 seconds ?

Answers

Answer:

Displacement is the distance between an object’s initial position and its final position and is usually measured or defined along a straight line. Since this is a calculation that measures distance, the standard unit is the meter (m).

Explanation:

A wire is formed into a circle having a diameter of 10.0cm and is placed in a uniform magnetic field of 3.00mT . The wire carries a current of 5.00 A. Find (b) the range of potential energies of the wire-field system for different orientations of the circle.

Answers

The range of potential energies of the wire-field system for different orientations of the circle are -

θ                  U

0°             375 π x [tex]10^{-7}[/tex]

90°              0

180°        - 375 π x [tex]10^{-7}[/tex]

We have current carrying wire in a form of a circle placed in a uniform magnetic field.

We have to the range of potential energies of the wire-field system for different orientations of the circle.

What is the formula to calculate the Magnetic Potential Energy?

The formula to calculate the magnetic potential energy is -

U = M.B = MB cos [tex]$\theta[/tex]

where -

M is the Dipole Moment.

B is the Magnetic Field Intensity.

According to the question, we have -

U = M.B = MB cos [tex]$\theta[/tex]

We can write M = IA (I is current and A is cross sectional Area)

U = IAB cos [tex]$\theta[/tex]

U = Iπ[tex]r^{2}[/tex]B cos [tex]$\theta[/tex]

For [tex]$\theta[/tex] = 0°

U(Max) = MB cos(0) = MB =  Iπ[tex]r^{2}[/tex]B = 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =

375 π x [tex]10^{-7}[/tex].

For [tex]$\theta[/tex] = 90° →

U = MB cos (90) = 0

For [tex]$\theta[/tex] = 180°

U(Min) = MB cos(0) = - MB =  - Iπ[tex]r^{2}[/tex]B = - 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =

- 375 π x [tex]10^{-7}[/tex].

Hence, the range of potential energies of the wire-field system for different orientations of the circle are -

θ                  U

0°             375 π x [tex]10^{-7}[/tex]

90°              0

180°        - 375 π x [tex]10^{-7}[/tex]

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hi im in class and i need help!

Answers

Answer:

I think its D.

Explanation:

revise and repeat: run a similar experiment with seeds B and C. Do seeds B and C need light to germinate? Describe your findings.

(Earth Science.)

Answers

Answer:فربما الى اغبر وابقاء على كل من اراد من دون اي نية لا اريد له الزواج او غيره او لا ربرلرل

الفيفي قثصشسيبزروت

Explanation:١٤٢٣٦٧٧٨٩

explain how electric motors convert electrical energy to mechanical energy​

Answers

Answer:

[tex]\rightarrow[/tex] Electric motors build energy through the interaction between magnetic fields.

Magnetic fields may be generated by passing a current through a wire. Winding that wire into a coil intensifies the sector. Wrapping the coil around an iron core can intensify it more. One is going to be of the coil are North, the other South. Reverse the flow of current through the coil. The magnetic poles can swap. Place 2 separate coils close to one another and organize them therefore one turns whereas the opposite is fastened. Then build arrangements for this within the moving coil to reverse even as the opposite poles are about to line up.

Hope it helps!<3

The magnetic moment of the Earth is approximately 8.00 ×10²²A.m² . Imagine that the planetary magnetic field were caused by the complete magnetization of a huge iron deposit. with density 7900 kg / m³, and approximately 8.50×10²⁸ atoms / m³, (a) How many unpaired electrons, each with a magnetic moment of 9.27 ×10⁻²⁴A.m² , would participate?

Answers

[tex]4.315 \times10^{45}[/tex] unpaired electrons,are required each with a magnetic moment of 9.27 ×10⁻²⁴A.m² , to participate .

Magnetic moment, additionally referred to as dipole moment, may be a live of the  tendency of associate degree object to align with a field of force. torsion may be a vector amount. Objects tend to be placed in order that their torsion vectors square measure parallel to the lines of magnetism. The direction of the torsion points from the South Pole of the magnet to the North Pole. The field of force made by a magnet is directly proportional to its torsion."Magnetic moment is outlined because the magnetic strength and orientation of a magnet or alternative object that produces a field of force."

It is given that magnetic moment of the Earth is approximately 8.00 ×10²²A.m² .

Number of unpaired is found by dividing the magnetic moment of the Earth to the given magnetic moment of 9.27 ×10⁻²⁴A.m²

   [tex]n=\frac{8.00\times10^{22}}{9.27\times10^{-24}} \\\\n=8.63\times10^{45}[/tex]

Each iron atom has two unpaired electrons, so the number of iron atoms required is [tex]\frac{1}{2}\times 8.63\times10^{45}=4.315\times10^{45}[/tex] electrons.

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Can you please answer qeastion

Answers

Answer:

the mantel

Explanation:

yeeeeaaaaaaa

A spring with a constant of 92N/m is compressed 2.8 cm. How much potential energy is stored in the spring?

PE= J

Answers

Answer:

0.036J

Explanation:

Given parameters:

Spring constant , K  = 92N/m

Compression  = 2.8cm  = 0.028m

Unknown:

Potential energy  = ?

Solution:

To solve this problem;

          P.E  =[tex]\frac{1}{2}[/tex] K e²

 K is the spring constant

 e is the compression

so;

      P.E = [tex]\frac{1}{2}[/tex]  x 92 x 0.028²  = 0.036J

You warm your self besides a fire that you built on the beach...
Conduction
Convection
Or radiation

Answers

Answer:

Radiation

Explanation:

Radiation is the transfer of heat through waves. (Fire's hot air/waves warms you)

Not conduction because you have to come in direct contact with the fire in order to be considered conduction.

Not convection because those happen when heat causes a difference in densities, allowing substances to circulate.

) observer a, who is at rest in the laboratory, is studying a particle that is moving through the laboratory at a speed of v

Answers

The distance between the markers in the laboratory where the particle is produced and where it decays is 30.24m.

What is radioactive decay?

Radioactive decay, also known as nuclear decay, radioactivity, radioactive disintegration, or radioactive decay, is the process by which an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive. Alpha decay, beta decay, and gamma decay are three of the most frequent kinds of decay, and they all entail the emission of one or more particles. Beta decay is a result of the weak force, while the nuclear force and electromagnetism are in charge of the other two mechanisms. Electron capture, which occurs when an unstable nucleus seizes an inner electron from one of the electron shells, is the fourth prevalent kind of decay.

Explanation:

From the perspective of observer A, the particle had a lifetime of 112 ns and moved at a speed of 0.9c.

0.9c = 2.7e8 m/s

112 ns = 1.12e-7 s

Since we already know the time and speed from the viewpoint of observer A, we can use those to determine the distance from that viewpoint without the need for any modifications.

[tex]d=v*t=2.7e8*1.12e-7=30.24m[/tex]

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A power supply is connected to an electric motor using two low resistance wires. the battery supplies 800 j of energy. how much of this energy will be transferred to the kinetic store of the motor?

Answers

The energy transfer to the kinetic store of the motor will be less than 800 J because some of the energy is dissipated in the surrounding.

A piece of electrical equipment that is used to supply power to the electrical load is called an electric power supply.

The basic objective of this device is to transfer power from the source to the consumer with the correct amount of voltage, frequency, and current.

Furthermore, this device transforms alternative current (AC) into low voltage direct current (DC).

It consists of four major elements: filter, transformer, regulator circuits, and rectifier.

To put it simply, a power supply transforms Ac voltage to DC voltage.

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Bats have poor vision and use echo-location to find their way.The frequency produced by bats is 100kHz. If the speed of the sound is 345m/s , how deep is the cave if the bat makes peeping sounds that return to the bat after 0,15s??

Answers

The distance covered is 25.9 m.

How deep is the cave?

We know that the speed of sound refers to the speed with which an sound moves in an object.

Given that;

speed of sound = 345m/s

Time taken =  0.15s

We know that;

v = 2d/t

v = speed of sound

d = distance

t = time taken

vt = 2d

d = vt/2

d = 345m/s *  0.15s/2

d = 25.9 m

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In a diffraction experiment, a laser beam incident on a single slit of width a = 0.02
mm produces a diffraction pattern on a screen 100 cm from the slit. The width of the
central maximum is 2.8 cm. What is the wavelength of the light?

Answers

The n-th place is 2×10 −4 m

The diffraction pattern's minima is

nDλ =(3−1) d

Dλ = d

2Dλ

​ d= x 3 −x

​ 2Dλ = 3×10 −3

2×0.50×6000×10 −10

=2×10 −4 m

Why do diffraction patterns occur?

Diffraction of light, as it is used to describe light, occurs more explicitly when a light wave passes by a corner or via an aperture or slit that is physically

Light is diffracted primarily as a function of wavelength (frequency), amplitude, and slit width. The incident waves must have a larger amplitude than the slit width for any diffraction to take place. Diffraction won't happen if the wave is less than the slit width.

The quantity of diffraction increases with the wave's wavelength. When the gap size is almost equal to the wavelength, the most 2×10 −4 m occurs.

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Which tem is the product of force and distance?
O power
O work
O net force
O acceleration

Answers

It would be work I assure you

Safety belts protect people in cars in the event of an accident because, according to Newton’s laws of motion, when an impact causes the car to suddenly change its motion -

A.the speed of the people always increases, since now they have not one but two forces acting on them.
B.the speed of the car always increases, giving it greater force since the mass will remain the same.
C.the car now has a greater overall mass - its own mass plus the mass of the object by which it has been struck.
D.the people in the car will continue to move in the same direction and at the same speed as before the impact.

Answers

Answer:

D :)

Explanation:

When an impact causes the car to suddenly change its motion, (D) the people in the car will continue to move in the same direction and at the same speed as before the impact.

What is Newton's first law of motion?

Newton's first law of motion states that Unless influenced by an imbalanced force, a body at rest stays at rest, and a body in motion keeps moving in a straight path at a constant pace. This law is commonly known as law of inertia and the resistance of a body to maintain its state of rest is called inertia of rest, same as, the resistance of a body to maintain its state of motion is called inertia of motion.

When a car is moving with certain speed, the car along with the people inside the car is in inertia of motion. In an event of accident, the car comes in rest in no time but the man in the car is still in inertia of motion. So, his body moves forward in the car which may cause injuries. To prevent such injuries, the people inside a car are advised to use safety belts.

So, correct answer  is option (D).

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M With particular experimental methods, it is possible to produce and observe in a long, thin rod both a transverse wave whose speed depends primarily on tension in the rod and a longitudinal wave whose speed is determined by Young's modulus and the density of the material according to the expression v = √(Y/rho) . The transverse wave can be modeled as a wave in a stretched string. A particular metal rod is 150cm long and has a radius of 0.200cm and a mass of 50.9 g . Young's modulus for the material is 6.80× 10¹⁰N/m² . What must the tension in the rod be if the ratio of the speed of longitudinal waves to the speed of transverse waves is 8.00 ?

Answers

The tension in the rod when the ratio of speed is 8 is 1.34 × 10⁴ N.

The longitudinal waves speed is determined using the density of the material and the Youngs modulus with the expression:

v = √(Y/rho)

A wave in a stretched string can be used to represent the transverse wave.

The length of the metal rod is 150 cm and the radius of the rod is  cm.

The mass of the rod is 50.9 g.

Now, the Youngs modulus for the material is 6.80× 10¹⁰ N/m².

For the longitudinal wave

v(l) = (Y/ρ)^{1/2}

For the transverse wave :

v(T) = (Y/μ)^{3/2}

Now, we need

v(L) / v(T) = 8

And we know,

T = (μY) / (64ρ) where μ= m /L

And the density, ρ = mass / volume = (m) / (πr²L)

Therefore,

T = (πr²Y) / 64

T =  (π)(2 × 10⁻³)² × (6.8 × 10¹⁰) / 64

T = 1.34 × 10⁴ N

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Review. A wire having a linear mass density of 1.00 g/cm is placed on a horizontal surface that has a coefficient of kinetic friction of 0.200. The wire carries a current of 1.50 A toward the east and slides horizontally to the north at constant velocity. What are (b) the direction of the smallest magnetic field that enables the wire to move in this fashion?

Answers

The direction of the smallest magnetic field that enables the wire to move in this fashion to East.

A magnetic force in the direction of north that is equal in strength to the friction force will be required.

Fm - f = 0

I L B = uk mg = 0.

(1.50 x 1 x B) - (0.20 x 0.1 x 9.8) = 0

B = 0.131 T

b) the magnetic force, Fm = IL x B. (cross product )

- > north F

What emf is induced across the ends of the wire?

The formula can be used to calculate the magnetic force for a moving charge particle;

∈= Bvlsinθ

Due to the parallel motion of the wire, the angle between the magnetic field and velocity is zero degrees.

B = 0.500 T

v = 1.50 m/s

l = 0.200 m

Therefore,

∈ = (0.500 T) (1.50 m/s) * (0.200 m) *sin 0

∈=0.15 * sin 0

∈= 0

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Why did the Catholic Church attack Galileo? A. The system Galileo defended went against the historical view of the universeB. Galileo refused to share his new information with the Church.C. Most astronomers already agreed that the planets revolved around the sun. D. Motion in the universe had not yet been explained What did the Staple Act of 1633 stipulate?a. It established limits on which items imported into the American colonies were exempt from import taxes.b. Certain items produced in the colonies had to be shipped directly to England before they could be reexported elsewhere. c. The English government held legal claim to one quarter of the timber produced in North America, which would be used for shipbuilding.d. American colonists could only buy European goods that had passed first through England. Question 1 of 10What should you look for on the first page of every lesson?OA. A reading passageB. Answers to the testC. Your study sheetD. 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Directions: For the following problems....(a) determine the correct conclusion or further conclusion based on the given information and diagram. Yourconclusions should only be based on the given information, not what you believe the diagram may imply.(b) fill in the appropriate statement/reason chart to organize your work. REMINDER: A reason can only be adefinition or definition reversed.1. Given: LFHEZKHEHINT: Your conclusion should NOT be the m2FHE =m2KHE! There is a better conclusion to draw here...Conclusion: FHE = KHE Calcium carbonate decomposes into calcium oxide and carbon dioxide. If 224 g of calcium carbonate decomposes, how many moles of carbon dioxide gas is produced?. write the equation y=-6+5 in function notation using f (x) to denote the function Q|C A large set of unoccupied football bleachers has solid seats and risers. You stand on the field in front of the bleachers and sharply clap two wooden boards together once. The sound pulse you produce has no definite frequency and no wavelength. The sound you hear reflected from the bleachers has an identifiable frequency and may remind you of a short toot on a trumpet, buzzer, or kazoo.(a) Explain what accounts for this sound. Compute order-of-magnitude estimates for Aiden surveyed 300 of the students in his school about their favorite color. 85% said their favorite color was red. How many students favorite color was red? Which of the following makes the varied types of digital communication possible?an agreed-upon set of rules and standards governing the way technology shares and manages dataproperly linking all of the workstations on a closed loop-like configurationrefraining from relying too heavily on one central hub that connects all nodes on a systemonly using a high-quality server computer with lots of memory item at position 22 identify and label the following attacks by dragging the term on the left to the definition on the right. not all terms are used. a comprehensive performance measurement tool that reflects the measures critical to the success of the firm's strategy and provides a means for aligning performance measures to the strategy is . what is the simple unit factor that relates the number of hydrogens in sucrose to the number of oxygens? put these numbers in order least to greatest 56,209 5,609 55,209 562,009