A 100-cm long dipole is excited by a sinusoidally varying current with an amplitude i0=2 a. Determine the time average power radiated by the dipole if the oscillating frequency is 150 mhz

Answers

Answer 1

For A 100-cm long dipole is excited by a sinusoidally varying current with an amplitude i0=2 , the time average power radiated  is mathematically given as

P=0.1577w

What is the time average power radiated by the dipole if the oscillating frequency is 150 mhz?

Generally, the equation for the   is mathematically given as

[tex]\lambda =\frac{c}{f}[/tex]

Therefore

[tex]\lambda=\frac{3\times 10^{8}}{10^{6}}[/tex]

lambda=300m

In conclusion, for the power

[tex]P=40\pi^{2}(I_{0})^{2}(\frac{l}{\lambda})^{2}\\\\P=40* (3.14)^{2}\times6^{2} (\frac{1}{300})^{2}[/tex]

P=0.1577w

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Answer 2

The time-averaged power radiated by the dipole if the oscillating frequency is 150 MHz is 0.1577 w.

What is wavelength?

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or down a wire is defined as the wavelength.

Given that the current is 2 amp, while the frequency is 150 MHz. Therefore, the wavelength can be written as,

[tex]\lambda = \dfrac cf = \dfrac{3 \times 10^8}{10^6} = 300\rm\ m[/tex]

Now, the power can be written as,

[tex]P=40 \pi^2 \times (I_o)^2 \times (\dfrac{l}{\lambda})^2\\\\P = 40 \times \pi ^2 \times 6^2 \times (\dfrac{1}{300})^2\\\\P = 0.1577\rm\ w[/tex]

Hence,  the time-average power radiated by the dipole if the oscillating frequency is 150 MHz is 0.1577 w.

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Related Questions

The car's motor transfers
-----------energy
into useful-----------
energy as the car moves,
Some energy is wasted -----------as
energy

Answers

Answer:

chemical potential

kinetic

thermal

i need help with this question on circuits!!

Answers

Answer:

B

A

A

B

Explanation:

In the wiring of houses, a parallel circuit is used, otherwise, if the circuit of one of the parts is interrupted, the current will not enter the other circuits.

Hello people ~
last one I've got for y'all

Which of the following phenomenon is not explained by Huygen’s wave theory?

⇢Diffraction
⇢Interference
⇢Polarisation
⇢Photoelectric effect​

Answers

Answer:

Photoelectric effect

Explanation:

Photo electric effect was a great invention of Albert EinsteinEinstein got nobel prize for discovering photoelectric effect.

Option D is correct

When a 10-V battery is connected to a resistor, the current in the resistor is 2 A. What is the resistor's value

Answers

Answer:

5 ohms

Explanation:

V = IR

10 = 2 R

R = 5

The parenting style that can be described as restrictive and controlling is called __________. a. authoritarian b. permissive c. neglectful d. authoritative please select the best answer from the choices provided a b c d

Answers

The parenting style that can be described as restrictive and controlling is called authoritarian.

What is authoritarian?

The rejection of political plurality, the use of strong central power to maintain the political status quo, and reductions in the rule of law,

The separation of powers and democratic voting characterize authoritarianism.

Many typologies of authoritarian systems of administration have been developed by political scientists.

Authoritarian governments can be autocratic or oligarchic, and they can be founded on party or military authority.

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What is fission and how is it related to atomic energy

Answers

Answer:

Fission is the release of atomic energy related to the splitting of nuclei.

M = M1 + M2 + E         where E = m c^2 energy from conversion of mass

if the daughter nuclei are less in total mass than the parent nucleus then the difference is released as atomic energy where E = m c^2 and m is the mass that has been lost in the conversion.

PLEASE HELP!!!



With upward speeds of 12.5 m/s, the elevators in the Yokohama Landmark Tower in Yokohama, Japan, are among the fastest elevators in the world. Suppose a passenger with a mass of 70.0 kg enters one of these elevators. The elevator then goes up, reaching full speed in 4.00 s. Calculate the net force that is applied to the passenger during the elevator's acceleration.

Answers

The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

What is net force?

This is the single force obtained from the combinatiion of two or more forces

To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.

Formula:

F = m(v-u)/t............ Equation 1

Where:

F = forcem = massv = Final velocityu = initial velocityt = time.

From the question,

Given:

m = 70 kgu = 0 m/sv = 12.5 m/st = 4 s

Substitute these values into equation 1

F = 70(12.5-0)/4F = 218.75 N

Hence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Gases that are very good at absorbing long wave photons of infrared light

Explanation:

Green house gases examples are Carbon monoxide, nitric oxide etc.These gases absorb long wave photons of infrared light of sun's rays They melts the glaciers and increase the sea level .

1. Which of the following represents the distance (how much ground the particle covers) moved by a particle in a simple harmonic motion in one time period? (Here, A represents the amplitude of the oscillation.)
0 cm
A cm
2A cm
4A cm

Please show all of your work.

Answers

What's the relationship

[tex]\\ \rm\Rrightarrow T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\Rrightarrow T^2g=4\pi ^2\ell[/tex]

[tex]\\ \rm\Rrightarrow\ell=\dfrac{T^2g}{4\pi^2}[/tex]

4A can be correct

The correct option is: 2A cm

What is simple harmonic motion?

In a simple harmonic motion, the particle moves back and forth around a mean position. The distance covered by the particle in one time period depends on the amplitude of the oscillation.

The time period (T) of a simple harmonic motion can be expressed in terms of the frequency (f) as:

T = 1/f

The frequency (f) of a simple harmonic motion can be related to the angular frequency (ω) as:

ω = 2πf

Therefore, the time period (T) can also be expressed in terms of the angular frequency (ω) as:

T = 2π/ω

The displacement of the particle at any time (t) during the simple harmonic motion can be expressed as:

x = A cos(ωt)

where x is the displacement, A is the amplitude, and cos(ωt) is the cosine function.

The particle moves from its initial position to its maximum displacement (+A), then back to its initial position, and finally to its maximum displacement in the opposite direction (-A), before returning to its initial position again. Therefore, the distance covered by the particle in one time period is twice the amplitude (2A).

Therefore, the correct option is:

2A cm

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Infrared, ultraviolet and visible light are all part of the electromagnetic spectrum. The basic difference between them is their.

Answers

Answer:

The basic difference is wavelength (frequency)

ultraviolet < visible < infrared where the visible spectrum lies at

4000 - 7000 Angstroms =  400 - 700 millimicrons (10^-9 meters)

Tjhe shorter wavelengths (ultraviolet) carry more energy / photon

Which reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis?

Answers

Conversion of succinylcoA to succinate is the reaction that link acid cycle to the electron‑transport chain and amino acid synthesis.

Conversion of succinylcoA to succinate

SuccinylCoA is converted into succinate through the hydrolytic release of coenzyme A by succinyl-CoA synthetase Also succinyl-CoA is porphyrin synthesis, where it combine with glycine by ALA synthase to form δ-aminolevulinic acid.

Succinyl CoA is catalytically converted to succinate. The enzyme stimulates the hydrolysis of succinyl CoA into succinate and ATP and this represents a remarkable point of substrate level phosphorylation. After this, it link up to the electron transport chain via citric acid cycle.

Therefore, Conversion of succinylcoA to succinate is the reaction that link citric acid cycle to the electron‑transport chain and amino acid synthesis.

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The electron‑transport chain reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis.

What is an electron‑transport chain reaction?

The electron transport chain is a set of protein complexes that link redox processes to create an electrochemical potential that leads to the production of ATP in a process known as

Both photosynthesis and cellular respiration occur in mitochondria.

As a result, the process that connects the citric acid cycle to the electron transport chain and amino acid synthesis is succinyl-CoA to succinate conversion.

Hence the electron‑transport chain reaction connects the citric acid cycle to the electron‑transport chain and amino acid synthesis.

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The Kelvin scale is also know as the absolute zero
TRUE OR FALSE

Answers

The Kelvin scale is also called absolute zero scale

Explanation:

true

Hello people ~
The sound in the audible range is called
(a) ultrasonic sound
(b) sonic sound
(c) subonic sound
(d) light sound​

Answers

Answer:

Sonic sound

Human audible range is from 20Hz to 20000Hz or 20kHzAbove or beneath that range we can't hear .Bats can hear below it and dogs can hear above it

best answer gets brainliest

Answers

Answer:

a because they are bigger and have more mass wich means that they will fall faster because there is more weight going downward...

Explanation:

Beluga

Answer:

Explanation:

It depends on whether this is a "trick" question.

The law of universal gravitation says that the attractive force between two objects depends directly on their masses and inversely to the square of distance in between them.

As the objects in A are bigger than B, they MAY have higher masses. So the force is larger in A.

But no information is given about object mass or density. The distance between objects in B is shorter. So if the objects in B have the same masses those in A, then the force is larger in B.

The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C

Answers

For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

What is the power?

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

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Under which condition would time periods of daylight and darkness be equal everywhere on Earth all year?.

Answers

If the earth rotated on an axis that was not tilted with respect to earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.

What is the earth's orbit?

The Earth orbits the Sun in a counterclockwise pattern above the northern hemisphere at an average distance of 149.60 million km.

The Earth revolves around its axis once every 24 hours and orbits the sun once every 365 days. The Earth's rotation on its axis, not its orbit around the sun, causes day and night.

The term 'one day' refers to the time it takes the Earth to rotate once on its axis, which includes both day and night.

Hence the earth rotated on an axis that was not tilted with respect to the earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.

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help me with this plsssssssssssssss

Answers

Answer:

D

Explanation:

The digestive system does all of these functions

the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates waste

all these components (and more) make up the digestive system.

if you are unsure, visit bbc bitesize for more information.

The water was used to power a generator, creating _______________ energy

Answers

Answer:

electric

please give brainliest

A radio has a frequency of 220 hertz (Hz). The wavelength sound produced is 4.2m. Identify
the speed of the wave. Equation: Speed= wavelength x frequency (Hz)

A. 11m/s

B. 0.01m/s

C. 52.3m/s

D. 924m/s

Answers

Question :-

A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .

11 m/s0.01 m/s52.3 m/s924 m/s

Answer :-

Speed of the Wave is 924 m/s .

Explanation :-

As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .

For calculating the Speed , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency} [/tex]

[tex] \longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }} [/tex]

Hence :-

Fourth Option is Correct Answer .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Answer:

A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .

11 m/s

0.01 m/s

52.3 m/s

924 m/s

Answer :-

Speed of the Wave is 924 m/s .

Explanation :-

As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .

For calculating the Speed , we will use the Formula :-

\bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }}★

Speed=Wavelength×Frequency

Therefore , by Substituting the given values in the above Formula :-

\dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency}†Speed=Wavelength×Frequency

\longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220}⟼Speed=4.2×220

\longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }}⟼Speed = 924

Hence :-

Fourth Option is Correct Answer .

25 cm 40° 35 N

what's the torque? ​

Answers

Answer:

t = 562.44 Newton centimeters

or

t = 5.62 Newton meters

Explanation:

The eqaution for torque is:

t = rFsin(θ)

We are given r, f, and θ.

Fill in what we know.

t = 25*35*sin(40)

t = 562.44

t = 562.44 Newton centimeters

or

t = 5.62 Newton meters

Please Help Me!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

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true or false
As the moon orbits Earth, the absolute positions of the moon,
Earth, and the sun change

Answers

Answer:

FALSE

Explanation:

as the moon orbits earth, the ABSOLUTE position of the moon, earth, and the sun change. the moons orbit around earth is ABSOLUTELY STRAIGHT with respect to earths orbit around the sun. the amount of the moon's surface that is lit by the sun changes.
The following statement is False

An object rotates with an angular speed that varies with time, as shown in the graph. How can the graph be used to determine the magnitude of the angular acceleration α of the object? Justify your selection.


Subtract the greatest value of the angular speed from the smallest value of the angular speed, because α=Δω.

Subtract the greatest value of the angular speed from the smallest value of the angular speed, because a equals delta omega .

Determine the slope of the line from 0s to 2s, because the slope represents ΔωΔt.

Determine the slope of the line from 0 second to 2 seconds , because the slope represents the fraction delta omega over delta t .

Determine the area bounded by the line and the horizontal axis from 0s to 2s, because α=12ωΔt.

Determine the area bounded by the line and the horizontal axis from 0 second to 2 seconds , because alpha equals one half omega delta t .

The angular acceleration cannot be determined without knowing the rotational inertia of the object.

Answers

We can find it up angular velocity with respect to time graph .

As

[tex]\\ \rm\Rrightarrow m=\dfrac{\Delta \omega}{\delta T}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=\dfrac{\Delta \omega}{\delta T}[/tex]

So we get

[tex]\\ \rm\Rrightarrow m=\alpha[/tex]

We need the slope in order to find angular acceleration

We can determine the angular acceleration of the object by taking the slope of the line in the plot of angular speed versus time because the change in linear here.

What is angular acceleration ?

The angular acceleration of an object is the measure of its rate of change in angular speed. Like the velocity, it a vector quantity and is characterized by a magnitude and direction.

The acceleration is the ratio of change in velocity to the time interval. From the graph of speed of an object versus the time taken, we can obtain the acceleration.

For a linear relation between the two quantities, the slope gives their ratio. Therefore, here, the slop of the line from 0 to 2 seconds represents the fraction delta omega over delta t. Hence, option D is correct.

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10. A ball is attached to a string of length 4 m to make a pendulum. The pendulum is placed at a location that is away from the Earth’s surface by twice the radius of the Earth. What is the acceleration due to gravity at that height and what is the period of the oscillations?

Please show all of your work.

Answers

Let's see

Radius of earth=6371mTwice of it=6371(2)=12742m

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{4}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi\dfrac{2}{\sqrt{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=\dfrac{4\pi}{\sqrt{g}}[/tex]

So

[tex]\\ \rm\rightarrowtail g=\dfrac{16\pi ^2}{T^2}[/tex]

Answer:

g' = 1.09 m/s²

T = 12 s

Explanation:

Gravity due to acceleration

Distance from center of Earth = r + 2r = 3rgravity due to acceleration on surface, g = GM/r²Substitute 3r in the denominatorg' = GM/(3r)² = GM/9r²⇒ g' = g/9 = 9.8/9 = 1.09 m/s²

Time period

T = 2π√L/g'T = 2π√4/1.09T ≅ 12 s

Which materials are good insulators? Select three options. Glass paper gold plastic silver.

Answers

Answer:

Plastic Glass and Paper

Explanation:

i just took the assignment

Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.

What are insulators?

An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.

Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.

Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.

Hence glass, paper, and plastic are good insulators.

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To predict whether a star will ultimately become a black hole, what is the key property of the star we should look at?.

Answers

A star will ultimately become a black hole when it collapses due to end of fuel.

Which star becomes a black hole?

When a star burns through the last of its fuel, the object may collapse, or fall into itself. For smaller stars which are about three times the sun's mass, the new core will become a white dwarf but when a larger star collapses, it turns into a black hole.

So we can can conclude that a star will ultimately become a black hole when it collapses due to end of fuel.

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Identify the solutions (homogeneous mixtures) in the list below. check all that apply. lead, an alloy of tin and lead ammonia, a pure compound of nitrogen and hydrogen window cleaner, a mixture of ammonia and coloring dissolved in water gasoline, a mixture of organic liquids with a fixed composition throughout distilled water, pure with no metals or particles

Answers

Answer:

Brainliest pls

Explanation:

lead solder, an alloy of tin and lead

window cleaner, a mixture of ammonia and coloring dissolved in water

gasoline, a mixture of organic liquids with a fixed composition throughout

The solutions and homogeneous mixtures in the given list are:

A. Lead solder, an alloy of tin and lead.

D. Window cleaner, a mixture of ammonia and coloring dissolved in water.

E. Gasoline, a mixture of organic liquids with a fixed composition throughout.

What is a solution?

A solution can be defined as a special type of homogeneous mixture that comprises a solute and a solvent.

A homogeneous mixture can be defined as any solid, liquid, or gaseous mixture which has an identical (uniform) composition and properties throughout any given sample of the mixture.

In Science (Physics), all solutions are considered to be a homogeneous mixture because their constituents are uniformly (evenly) distributed.

In conclusion, the solutions and homogeneous mixtures in the given list are:

Lead solder, an alloy of tin and lead.Window cleaner, a mixture of ammonia and coloring dissolved in water.Gasoline, a mixture of organic liquids with a fixed composition throughout.

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From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:

Answers

Answer:

Label A: Virtual Image

Label B: Object

Label C: Focal point

Explanation:

Label A: Virtual Image

Label B: Object

Label C: Focal point

What is an eye ?

The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.

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Who discovered the basic laws of planetary orbits?.

Answers

Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

My Noacid performs a physics lab to determine the speed of sound inside a tube. She blocks off one end of the 120. 0 cm tube with a book and places a microphone at the other end. When she snaps her finger she determines the time for the sound to get back to the microphone is. 00695 s. What was the speed of sound that day

Answers

The speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

Speed of the sound

The speed of the sound wave can be determined by applying echo formula as shown below;

v = 2d/t

where;

d is the distance traveled by the sound wave = 120 cm = 1.2 mt is the time when the sound wave was heard = 0.00695 s

Substitute the given parameters and solve for speed.

v = (2 x 1.2)/(0.00695

v = 345.32 m/s

Thus, the speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.

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Choose the correct multiplication problem.A) AB) BC) C y=1/2x+2 y=1/3x+2 solve for graphing 99x78123x5698x17238x900 Use the image to solve. I'm pretty sure it would be undefined but im not sure.Thanks Frances was recently in a roller coaster accident and was admitted to a hospital for multiple fractures. What type of drug is most likely to be prescribed to alleviate francess pain? if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person "It wa the first time Darrell felt his size was not HINDERING him." What does the word hinderingmean? serious help needed ASAP :(( with the file attached will give brainliest if possibleoptionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)spending max amount of points that can be in a single questionthanks I Need help 75pts thanks in advance! write all name of this figure. Poster saying England expects National Service. Who is the intended audience? Which image conveys the audience? Which persuasive techniques are being used?. How can you stop inappropriate text and pictures from appearing in search results? A. Use keywords. B. Change filtering settings. C. Click sponsored links. D. Add bookmarks. What president successfully led the United States during the Depression?Franklin D. RooseveltHerbert HooverWoodrow Wilson SOMEONE PLEAASE HELP ME ASAP THIS IS DUE SOON14. Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square root ______________ (x - 7)^2 + (y - 9)^2 = (y - 4) What are marketing information systems? How is an activity different from a hobby? Please answer! Rotation: 180 about the origin Find the solution to the system of equation by using either graphing or substitution y=4x and y + x=5 What is the most likely reason Gilbert changes his decision about teaching in Avonlea?A. He truly likes Anne and is humbled when he realizes he hurt her feelings.B. He really wants Anne to like him and thinks she will be better at the job.C. He knows that teaching in Avonlea is not a good idea and that it would be revenge.D. He really does not want to teach in Avonlea and uses this as a way to make amends. Find the value of 9u-2 given that -7u-7=7 ?