This algorithm produces an independent set. However, it may not always yield a maximal independent set.
The given algorithm generates an independent set, as no two vertices in the output share an edge, ensuring independence.
However, it doesn't guarantee a maximal independent set.
A maximal independent set is an independent set that cannot be extended by adding any adjacent vertex without violating independence.
The algorithm might not explore all possible vertex combinations or terminate before reaching a maximal independent set.
To prove if it's maximal, additional analysis or a modified algorithm that exhaustively searches for the largest possible independent set is needed.
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This algorithm produces an independent set. However, it may not always yield a maximal independent set.
The given algorithm generates an independent set, as no two vertices in the output share an edge, ensuring independence.
However, it doesn't guarantee a maximal independent set.
A maximal independent set is an independent set that cannot be extended by adding any adjacent vertex without violating independence.
The algorithm might not explore all possible vertex combinations or terminate before reaching a maximal independent set.
To prove if it's maximal, additional analysis or a modified algorithm that exhaustively searches for the largest possible independent set is needed.
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In the absence of a strong magnetic field), what is the chief factor that determines what type of electromagnetic radiation objects give off:____.
The chief factor that determines what type of electromagnetic radiation that objects give off in the absence of a strong magnetic field is their temperature.
What is the radioactive activity?The radioactive activity refers to the energy that a atomic nucleus can release in a given period of time due to the emission of different types of radiation.
This activity (radioactive activity) increases as temperature rises due to a higher collision of subatomic particles that form molecules.
In conclusion, the chief factor that determines what type of electromagnetic radiation in the absence of a magnetic field is temperature.
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Medical applications of ultrasound use frequencies up to 2.00 × 10^7 hz. What is the wavelength of this frequency in 20 °c air?
The wavelength of the ultrasound wave in 20 °c air is 1.715 * 10⁻⁵ m.
What is the relationship between wavelength and frequency of a wave?The frequency of sound is the number of complete oscillations per second.
The wavelength is the distance between successive positions in the wave.
Velocity of sound is the distance covered per second.
The frequency and wavelength of a wave are related by the formula given below:
Velocity = frequency * wavelengthThe velocity of sound in 20°C air = 343 m/s
frequency of the sound wave = 2.00 × 10⁷ hz or 2.00 × 10⁷ s⁻¹
wavelength = velocity/frequency
wavelength = 343 / 2.00 × 10⁷
wavelength = 1.715 * 10⁻⁵ m
In conclusion, the wavelength of the ultrasound wave is determined from the ratio of the velocity and the frequency of the sound.
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Theoretically, what would be the mass of an object accelerated
to 100% the speed of light?
I know most of the answers will say infinity, but still this needs deeper look about its physical meaning and does it consider a practical logic?
Infinity usually used for something we could not measure, however the reality may be different!
The denominator of the equation would become 0 and the mass would become infinite if the mass's velocity ever surpassed the speed of light.
Speed of light and mass:The amount of energy needed to accelerate an infinite mass would be infinite as well. The fact that light travels at the speed of c indicates that it has no rest mass.
When a mass particle approaches the speed of light, its energy grows and becomes infinite at that speed, which is why it can never be accelerated to that speed.
Experiments have confirmed this, and it has been demonstrated that nothing goes faster than the speed of light.
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Why does the chord of an electric heater not glow while the heating element does
Answer:
The heating element of the heater is made up of alloy which has very high resistance so when current flows through the heating element, it becomes too hot and glows red. But the resistance of cord which is usually of copper or aluminum is very low so it does not glow.
A 65.0 kg skier slides down a
37.2° slope with uk = 0.107.
If the slope is 42.0 m long, and
the skier starts from rest, how
fast is she going at the bottom?
(Unit = m/s)
She is going at a velocity of 20.63m/s to the bottom.
Friction is a resistive force between a body and the surface it is moving over in mechanics. It is computed mathematically using the friction coefficient and normal force product.
The mass is: m = 65kg
The coefficient of friction is: μk = 0.107
The angle is: θ = 37.2°
W = mg
W₁ = W sin θ = mg sin θ
W = W cos θ = mg cos θ
[tex]F_{N} = W = mgcos[/tex]θ
[tex]F_{f} =[/tex] µ[tex]F_{N}[/tex] = µmg cosθ
[tex]F_{net} = W_{1} - F_{f}[/tex]
[tex]= mg sin[/tex]θ - µmg cosθ
[tex]F_{net} = ma[/tex]
[tex]ma =[/tex] mg sinθ - µmg cosθ
a = g sinθ - µmg cosθ
= 9.8 sin (37.2) - (0.107) 9.8 cos(37.2)
= 9.8 × 0.605 - 0.107 × 9.8 × 0.796
= 5.929 - 0.834
= 5.095 [tex]m^2/s[/tex]
∴ Δd = [tex]\frac{1}{2} a ([/tex][tex]t^2[/tex][tex])[/tex]
[tex]t^2[/tex] = 2Δd / a
[tex]t^2=[/tex] 2 × 42.0 / 5.095
[tex]t^2 =[/tex] 16.48
[tex]t=4.05[/tex]
∴ [tex]v_{2} = v_{1} + at[/tex]
[tex]= 0+ 5.095 (4.05)[/tex]
[tex]= 20.63 m/s[/tex]
Therefore, she is going at a velocity of 20.63m/s to the bottom.
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In a bar magnet the magnetic force seems to come from each end. The ends of a bar magnet are
called the___
What one word completes the sentence?
The following figures show four positions (1-4) of a comet during its orbit of the Sun. Also shown is the orbit of the Earth around the Sun. Rank the positions of the comet from left to right based on the size of its tail, from shortest to longest. (Not to scale; tails not shown.)
3, 1, 2, 4 is the arrangement according to their comet's tail.
The length of a comet's tail depends primarily on the comet's distance from the sun. It is longer when the comet is closer to the sun and shorter or (Negligible) when the comet is farther from the sun.
Due to sunlight's radiation pressure, the comet's tail will always point away from the sun. Small dust particles are pushed away from the sun by sunlight with a stronger force than by gravity pulling them in the opposite direction. As a result, a comet's tail streams behind the nucleus during its inbound transit, but it streams in front of the nucleus during its outbound passage back to the outer solar system. Typically, gas jets produced by thawing frozen volatiles expel dust particles from a comet's surface.
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Interstellar dust is effective at blocking visible light because Choose one: A. the dust is so dense. B. dust grains are so small. C. dust grains are so large. D. dust grains are so few.
Answer: Interstellar dust is effective at blocking visible light because dust grains are so small.
Explanation: To find the answer, we need to know more about the interstellar dust.
What is interstellar dust?Interstellar dust developed from dying stars as they burn out.This dust can block the visible light as well as UV emerging from the stars, because dust grains can block light at optical wavelengths.it absorbs and scatters blue light more than red. thus, red light can pass through it.If we place a star behind the dust, it will look more redder than its usual color. This is called interstellar reddening.Grains have a typical size of [tex]10^-6 m[/tex].Thus, we can conclude that, Interstellar dust is effective at blocking visible light because dust grains are so small.
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the unit of acceleration is derived unit why
Answer:
Mass is a base unit, acceleration is a derived unit calculated as a function of length and time which are both base units. Any unit definition that is a function of more basic units is considered a derived unit.
pls help i’ll give brainliest if you give a correct answer!!
Answer:
C. The distance traveled by an object at a certain velocity.
Explanation:
YW!
Answer:
third option is the most accurate
Mr. Rosa is able to travel at 10m/s. How much time will it take him to travel a distance of 542 meters?
What is the known?
What is the unknown?
Plug it in.
What is your answer?
// s - displacement, t - time, v - velocity
Known:
s = 542 meters;
v = 10m/s
Unknown:
t - ?
Formula:
t = s / v
Solution:
t = 542 / 10 = 54,2 (s)
Answer:
54,2 s
Make me the brainliest, please
An outfielder throws a baseball to home plate with a velocity of 27 m/s at 35o. It is caught by the first baseman. How long was it in the air
Answer:
Explanation:
Initial velocity of the ball = 27 m /s .
Its vertical component = 27 sin 35 = 15.48 m /s
Considering vertical displacement to the top point ,
initial velocity u = 15.48 m /s
acceleration due to gravity g = 9.8 ,
velocity at the top v = 0
v = u - gt
0 = 15.48 - 9.8 t
t = 15.48 / 9.8 = 1.579 s
So time of ascent = 1.579 s
Similarly , time of descent = 1.579
Total time of flight = 2 x 1.579
= 3.16 s
balance the equation
P + 02 → P205
Answer:
4P + 502 → 2P205
Explanation:
Hence the above equation is balanced.
Explanation:
[tex] \underline{ \underline{ \large{ \text{Given \: chemical \: equation}}}} : [/tex]
[tex] \tt{P \: + O _{2} \: \: \: \: ➞ \: \: P_{2} \: O_{5}}[/tex]Here , Multiply P2O5 by 2 and O2 by 5 to equalize oxygen :
[tex] \tt{P+ 5O_{2} \: \: ➞\: \: 2P_{2} \:O_{5}}[/tex]
Now , To equalize P atoms , Multiply P by 4
[tex] \boxed{ \large{\tt{ 4P + 5O _{2} \: ➞ \: \: \: \: 2P_{2} \: O_{5}}}}[/tex]
Here , On the left side we have 4P and On the right side ,we have 4P. Again , On the left side , we have 10 O and On the right side , we have 10 O. And yippie , we got the balanced chemical equation !!!
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A 1-kg book is at rest on a desk. Determine the force the desk exerts on the book
[tex]\displaystyle F_n = 9.8 \ N[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightPhysics
Forces
SI Unit: Newtons N
Free Body Diagrams
Gravitational Force: [tex]\displaystyle F_g = mg[/tex]
m is mass (in kg)g is Earth's gravity (9.8 m/s²)Normal Force: [tex]\displaystyle F_n[/tex]
Newton's Law of Motions
Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motionNewton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration)Newton's 3rd Law of Motion: For every action, there is an equal and opposite reactionExplanation:Step 1: Define
1 kg book at rest
Step 2: FBD
See Attachment
Draw a free body diagram to label the forces acting upon the book. We see that we would have gravitational force from Earth pointing downwards and normal force from the surface of the desk pointing upwards.
Since the book is not moving, we know that ∑F = 0 (sum of forces equal to 0).
Step 4: Find Normal Force
Define Forces [Newton's Law of Motions]: [tex]\displaystyle \sum F = 0[/tex][Newton's Law of Motions] Substitute in forces: [tex]\displaystyle F_g - F_n = 0[/tex][Newton's Law of Motions] [Addition Property of Equality] Isolate [tex]\displaystyle F_n[/tex]: [tex]\displaystyle F_g = F_n[/tex][Newton's Law of Motions] Substitute in [tex]\displaystyle F_g[/tex]: [tex]\displaystyle mg = F_n[/tex][Newton's Law of Motions] Rewrite: [tex]\displaystyle F_n = mg[/tex][Newton's Law of Motions] Substitute in variables: [tex]\displaystyle F_n = (1 \ kg)(9.8 \ \frac{m}{s^2})[/tex][Newton's Law of Motions] Multiply: [tex]\displaystyle F_n = 9.8 \ N[/tex]You're holding an open house for Brenda. Walt and Mary walk in and ask you for a flyer that gives details about the property. At this point, what's your relationship with Walt and Mary
Walt and Mary are my Customers at this point.
To construct proper client relationships you need to: greet clients and approach them in a way that is herbal and suits the character scenario. show customers that you recognize what their desires are. be given that a few humans may not want your merchandise and concentrate on constructing relationships with people who do.
Use the time period clients, with an apostrophe before the “s” to expose a possessive form for a single consumer. Use the time period clients', with an apostrophe after the “s” to show the possessive plural shape of a couple of patrons. Do now not use an apostrophe if there's no possessive indication needed.
The definition of a consumer is a person who buys services or products from a store, restaurant, or different retail vendor. An example of a patron is someone who is going to an electronics save and buys a tv. (Casual) a person, mainly one engaging in a few types of interaction with others.
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An island reports that in the year 2000 there were 240 babies born. That same year, 100 individuals died.
What is the growth rate for this island?(Show your work and indicate if it is positive or negative.)
Answer:
+ 140
Explanation:
You can show the natural growth rate by subtracting the death rate from the birth rate during one year and converting this into a percentage.
Here it would be:
240 - 100 = + 140
// if you want to convert it to percentage, you need to know the size of the population
it would be
140 / (population size) * 100 %
Determine the amount of work you would need to do in order to stop a 1100kg car with 1400J of kinetic energy.
Answer:
W = -1400 J
Explanation:
Let's use the relationship between work and kinetic energy
W = ΔK
kinetic energy is
K = ½ m v²
therefore in this case
K₀ = 1400 J
Thus
W = 0 -1400
W = -1400 J
The negative sign indicates that the work is done against the energy, that is, in the opposite direction to the movement
What is the only part in our body we do not stretch?
Answer:
The quadriceps consists of four muscles: the skinny rectus femoris and the three huge “vasti” — vastus lateralis/intermedius/medialis. The vasti are only elongated by knee flexion, which is limited to about 120˚ when the calf hits the hamstrings. The vasti cannot be stretched strongly.
Answer:Masseter and temporalis
Why it’s unstretchable: The jaw can only open so far.
Why it’s a dang shame: Jaw tension is epidemic, and trigger points in these muscles cause a wide array of strange face and head pains, including toothaches, headaches, and earaches.
The center of gravity of the body is at________ position in state of unstable equilibrium.
Answer:
Highest.
Explanation:
This is because, in a state of unstable equilibrium, the center of gravity is at highest which as a result of when the body topples at it's base, there is a shift in the centre of gravity, and the centre of gravity shift position by moving towards the lower position and it does not return to it's former position again.
A horse has a momentum of 25 kg*m/s and a velocity of 2.5 m/s. What is the horse mass?
==================================================
Work Shown:
We have these variables
p = momentum = 25 kg*m/sm = mass = unknownv = velocity = 2.5 meters per secondSolving for the mass gets us...
p = m*v
25 = m*2.5
25/2.5 = m
10 = m
m = 10
The mass of the horse is 10 kg.
What are true statements that reflect why infants experience more fluid and electrolyte changes?
True statements that reflect why infants experience more fluid and electrolyte changes are that dehydration can upset the balance of electrolytes in an infant or child and the newborn is at risk of excessive water loss and hypernatremia as the result of high evaporative water loss through the skin.
As infants are not used to the environment around , they are more sensible towards problems such as Dehydration because of fast metabolism.
Dehydration can upset the balance of electrolytes in an infant or child. Children are especially vulnerable to dehydration due to their small size and fast metabolism, which causes them to replace water and electrolytes at a faster rate than adults.
Infants are particularly prone to the effects of dehydration because of their greater baseline fluid requirements (due to a higher metabolic rate), higher evaporative losses (due to a higher ratio of surface area to volume), and inability to communicate thirst or seek fluid.
The newborn is at risk of excessive water loss and hypernatremia as the result of high evaporative water loss through the skin, insensible water loss (IWL), as well as decreased capacity to concentrate the urine.
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how was youll day still in school by the way.
My day is alright! I just finished school for the day.. and I’m excited for the weekend! How was your day?
1. How much electrical energy is needed to bring two charges Q1= 5.5 x 10-7C and Q2= 1.7 x 10-6 C from infinity to where they are 1 meter apart.
Answer:
The electrical energy needed is 8.415*10⁻³ N
Explanation:
Energy is the ability of a body to make changes or work.
By separating or joining two electric charges a distance (for example, a radius r) within their electric fields, you are taking away or giving the electric charges energetic potentials, relative to each other. By releasing these charges, they will attract or repel each other, releasing that acquired electrical energy.
In other words, electric potential energy is linked to the particular configuration of a conglomerate of point charges in a defined system.
That is, it calculates the capacity of an electrical system to carry out a task based exclusively on its position or configuration. So, it is a kind of energy stored in the system, or the amount of energy that it is capable of delivering.
Thus, a charge will exert a force on any other charge and the potential energy is the result of the set of charges.
The electric potential energy that has a point charge q in the presence of another point charge Q that are separated by a certain distance r is:
[tex]Ep=K*\frac{Q1*Q2}{r^{2} }[/tex]
where:
Ep is the electric potential energy. It is measured in Newton (N). Q1 and Q2 are the values of the two point charges. They are measured in Coulombs (C). r is the value of the distance that separates them. It is measured in meters (m). K is the constant of Coulomb's law. For vacuum its value is approximately 9*10⁹ N*m²/C²In this case:
Q1=5.5*10⁻⁷ CQ2=1.7*10⁻⁶ Cr=1 mReplacing:
[tex]Ep=9*10^{9}\frac{N*m^{2} }{C^{2} } *\frac{5.5*10^{-7}C *1.7*10^{-6}C }{(1m)^{2} }[/tex]
Solving:
Ep= 8.415*10⁻³ N
The electrical energy needed is 8.415*10⁻³ N
The electrical energy is needed to bring two charges Q1 and Q2 from infinity to where they are 1 meter apart is 8.415 x 10⁻³ N.
What is the electric potential?An electric potential can be defined as the amount of work or energy needed to move a charge from one point to another against the electrical field.
We know that in order to know electrical energy is needed to bring two charges Q1= 5.5 x 10⁻⁷C and Q2= 1.7 x 10⁻⁶ C from infinity to where they are 1 meter apart, we need to calculate electric potential energy between the two charged particles,
[tex]E_P = k\dfrac{Q_1Q_2}{d^2}[/tex]
Substitute the values,
[tex]E_P = 9 \times 10^9 \dfrac{5.5 \times 10^{-7} \times 1.7 \times 10^{-6}}{1^2}\\\\E_P = 8.415 \times 10^{-3}\rm\ N[/tex]
Hence, the electrical energy is needed to bring two charges Q1 and Q2 from infinity to where they are 1 meter apart is 8.415 x 10⁻³ N.
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An astronomer discovers a new star and wants to measure its temperature. She would typically do this by:____.
An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.
What is the maximum wavelength peak?The maximum wavelength peak is the portion of the wave where a given chemical substance/object exhibits its maximum strongest value of photon absorption.
On the other hand, the blackbody curve of an object is the graphical diagram that shows the distribution of the radiation emitted by this particular substance.
In conclusion, An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.
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An object moving in the air at a constant speed is considered to be in a balanced state. Explain Why
Answer:
and there is no friction
Explanation:
An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force. An object in motion with a velocity of 2 m/s, East will (in the absence of an unbalanced force) remain in motion with a velocity of 2 m/s, East. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force. Objects resist changes in their velocity.
A 1436. 32' line has an azimuth of 178 52 13. What is the latitiude and departure of the line?
Latitude of the line will be = 1436.033
Departure of the line will be = 28.152
Given
let line be = a = 1436. 32
azimuthal be = x = 178° 52' 13''
This line must have two components , one is horizontal component which is its latitude and other will be vertical component which is departure . Resolving both the components we get,
latitude = a*cos(178° 52' 13'')
= 1436. 32 * cos(178° 52' 13'')
= 1436. 32 * (- 0.9998)
latitude = 1436.033
departure = a * sin (178° 52' 13'')
= 1436. 32 * 0.0197
departure = 28.152
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What is the energy of an electromagnetic wave that has a wavelength of
7.0 x 10-12 m? Use the equation E= hc where hc = 1.99 × 10-25 J-m.
OA. 2.8 × 10-14 J
OB. 1.4 x 10-36 J
OC. 9.0 x 10-37 J
OD. 7.2 x 1035 J
SUBMIT
Answer:
A: 2.8 * 10^(-14) J
Explanation:
Formula to find the energy is;
E = hc/λ
Where;
E is energy of a photon (E)
λ is wavelength of the light
c is speed of light
Thus;
E = (1.99 *10^(-25))/(7 * 10^(-12))
E = 2.8 * 10^(-14) J
6th grade science pls help
Answer:
D
Explanation:
I hope you get a good grade!
Is it resistant to mud fire
Dirt that you can not burn typically does no longer have any materials that are flammable at decrease temperatures. Mostly due to the fact it is full of water and non-burnable minerals. But a lot of what's in grime can certainly burn if it is dried. Dirt is made of many unique things.
yes
Explanation:
since they are extremely dense they lack the ability to trap air due to its structure
Light described as what two things?
Answer:modeled as an electromagnetic wave. In this model, a changing electric field creates a changing magnetic field.
Explanation: