For the segment AB in the bacterium's trajectory, calculate the x component of its velocity.
Express your answer in micrometers per second
UABx = 2o pm/s

Answers

Answer 1

For segment AB in the bacterium's trajectory, The x component of its velocity is 3.92m/s.

[tex]AB_X = 50um AB_Y = 10um[/tex]

[tex]AB =\sqrt{50^{2}+ 10^{2} } = 50.99um[/tex]

[tex]t = \frac{AB}{20} = 2.55[/tex]

[tex]V_ABY = \frac{AB_Y}{T}[/tex]

[tex]\frac{10}{2.55}[/tex] [tex]= 3.92m/s[/tex]

Speed is the directional pace of an item in motion as an illustration of its fee of change in position as discovered from a specific body of reference and as measured with the aid of a selected well-known time (e.g. 60 km/h northbound). speed is an essential idea in kinematics, the department of classical mechanics that describes the motion of our bodies.

Velocity is a physical vector quantity; both importance and route are had to define it. The scalar absolute value (significance) of velocity is known as pace, being a coherent derived unit whose amount is measured within the SI (metric system) as meters per 2d (m/s or m⋅s−1). as an example, "5 meters per 2d" is a scalar, whereas "5 meters in step with 2nd east" is a vector. If there's an exchange in speed, direction, or each, then the object is stated to be present process an acceleration.

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Related Questions

A voltage vL(t)=10cos(2000πt) is applied to a 100-mH inductance.
A)Find the complex impedance of the inductance.

Answers

The complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is: j200Ω.

What is inductance?

Inductance is a property of an electrical component that describes the ability of the component to store energy in a magnetic field when electric current passes through it.

Inductance is measured in units of henrys (H). When current flows through a component with inductance, it creates a magnetic field around the component that resists changes to the current. This resistance to changes in current is called inductive reactance and is measured in units of ohms.

The complex impedance of an inductor is given by Z = jωL, where ω is the angular frequency and L is the inductance.
Therefore, the complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is:
Z = j(2000π) (100 x 10-3) = j(2π) (100 x 10-3) = j200Ω

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in some places, hot water from underground can shoot up into the air through a hole in the ground. when this happens, the ground surrounding the water increases in temperature. what happens to the molecules in the ground when the temperature of the ground increases?

Answers

The energy of the molecules in the ground increases in the given case when the temperature increases.

Convection and conduction are two ways that the Earth's heat is released.

Conduction takes place when the transferring of heat takes place from something hot to something cold.

On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.  

Near the surface of the ground, the convection of heat water results in the hot springs and geysers to shoot up into the air through a hole in the ground.

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The wheel in the simplified engine of Figure 1 has radius of 0. 250 m and rotates so that the piston oscillates at angular frequency of 12. 0 rad/s. At = 0, the piston is located at =. Calculate the piston’s position, velocity and acceleration at = 1. 15 s. ​

Answers

The piston's position, velocity, and acceleration at t = 1.15 s are :

Position: 3.45 m

Velocity: 3 m/s

Acceleration: 0 m/s^2

To calculate the piston's position, velocity, and acceleration at t = 1.15 s, we need to know the angular position, velocity, and acceleration of the wheel.

The angular position of the wheel at t = 1.15 s is given by

θ = ωt + [tex]A_{0}[/tex]

where ω is the angular frequency, t is the time, and [tex]A_{0}[/tex] is the initial angular position.

Since the angular frequency is given as 12 rad/s and the initial angular position is 0, the angular position of the wheel at t = 1.15 s is

θ = 12 x 1.15 = 13.8 radians

The piston's position is given by

r = Rθ

where R is the radius of the wheel.

Substituting the value of R and θ,

r = 0.25 x 13.8 = 3.45 m

The velocity of the piston is given by

v = r' = Rθ' = Rω

Substituting the values

v = Rω = 0.25 x 12 = 3 m/s

Acceleration of the piston is given by

a = v' = Rθ'' = Rω' = R(ω^2)θ

As the angular frequency is constant, the angular acceleration is 0 so the linear acceleration is also 0.

Note: Linear acceleration is not equal to the derivative of linear velocity, it is equal to the derivative of velocity with respect to time, which is zero in this case.

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Mechanical energy starts the Ferris wheel, charging the lights along the seats, showing Choose energy. The full Ferris wheel begins to move going from Choose to Choose energy.

Answers

Mechanical energy is used to start the Ferris wheel, providing the initial rotation and motion to the wheel.

The motion of the wheel then causes the lights along the seats to be powered, allowing them to light up as the wheel turns. The wheel is then able to generate kinetic energy as it moves, which it then uses to continue turning.

As the wheel turns, it transfers its energy from mechanical to kinetic, and this energy is used to keep the wheel moving from start to finish. Kinetic energy is also used to power the centrifugal force which keeps the riders in their seats as the wheel turns, allowing them to enjoy the ride.

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The Earth has a mass of 6 x 10^24 kg and orbits the Sun in 3.15 x 10^7 seconds at a constant radius of 1.5 x 10^11m. Find the following.
(a) What is the Earth's centripetal acceleration around the Sun?
(b) What is the gravitational force acting between the Sun and Earth?
(c) What is the mass of the Sun?

Answers

The Sun's mass is 1.778 x 10 m/s2. v=2rT, where T is the amount of time it takes for the Earth to turn around the Sun.

What is our sun's mass?

Mass and volume: 1.989 x 1030 kilograms The sun has a mass of 1.989 x 1030 kilograms, which is about 333,000 times the mass of the Earth. Leading astronomers Jack J. and Imke de Pater found that the sun contains 99.8 percent of the mass of the entire solar system.

Earth's mass, Me, is 6 x 10 kg.

Earth's R Radius and Time of Rotation are 1.5x10m. 3.15 x 107 Sec.

Ac = earth's centripetal acceleration We know that W =  345X107 1.99 X 10 Rad/s Gravitational Force F 6x1024 x 1.99x107x mass of the Sun Me 2

F equals 35 + 82 x 10° N Ani.

F = 6 R2 28 2522 x 10" 6.67 x 10" x 6 x 1024 x Ms  (1.5 X 10") 2 Ms 35.82 x 1028 x 1.5X1-5 x 1822 6.67 X 10" x 6 x 10' 24 Ms 50 80.59 x 10° 40.02 X 10/3 37 Ms = 2.01 x 10 kg is known to exist.

The fact that centripetal acceleration F-ma f 22 equates both equations is known by mass of now. ma Scanner a equals 52.

ат 24 6.67 x 10" x 6X 10° 1-5 x 10" 17:78 x 16-9 = 1.778 x 10 m/s2 Ans

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Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g

Answers

The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

Given:

M = Mass of the window washer

g = Acceleration due to gravity

The forces acting are:

Force due to gravity = M × g

Tension in the rope = Force applied by the washer

The net force is zero. Therefore, the tension is:

T - M × g = 0

T = Mg

Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

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The crest of one wave of amplitude 1 meter intersects the crest of another wave of amplitude 3 meter. What is the resultant amplitude

Answers

A wave crest is the tallest point in the wave with the greatest displacement value. The junction of the 3-meter and 2-meter waves produces a 1 metre amplitude.

What exactly is amplitude ?

The amplitude of a wave is the measurement of the wave from its still position to its crest or trough. It is measured in metres.

When the wave is crossed, the elevation is 3 metres and the depression is 2 metres, resulting in an amplitude that causes destructive interference. Because 3 m is above the baseline and 2 m is below it, the resultant amplitude is 3 - 2 = 1 m.

As a consequence, the resultant amplitude is one metre.

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During a walk-around inspection, ensure there are no cracks on the brake drums that are more than ____ of the width of the friction area.

Answers

It's crucial to inspect the brake drums as part of your walk-around examination before setting off on a journey. If any brake drum has a crack that is more than half the breadth of the friction region.

What causes brake drums to crack?

Overheating and undercooling of the brake pedal during operation might result in cracked drums.

What should you do if the brake drum develops a crack?

Drums with cracks need to be changed right away. Blue ground -High temperatures, braking imbalance, abrupt stops, dragging brakes, or glazed brake pads can all result in blue drums. If no cracks have appeared, blue drums can still be utilized.

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9 An object of mass 1.2kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/s.
For what period of time does the force act on the object?

Answers

Answer:

0.90 seconds

Explanation:

Given Info:

Object of mass ⇒ 1.2 kg

Velocity of 2.0m/s when it is acted on by a force of 4.0 N

Velocity of the object Increased to 5.0 m/s

Question:

For what period of time does the force act on the object?

Solve:

We first need to know the formula:

F = ma  Or F = m(v-u)/t

F = force

m = mass of an object

a = acceleration

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time Taken

Knowing that;

Force = 4.0 N

Mass of an object = 1.2 kg

Final velocity = 5.0m/s

Initial velocity = 2.0m/s

Time taken = [t]

Now lets plug it in the formula:

F = m(v-u)/t

4.0 = 1.2(5-2)/t

t = 0.90 seconds.

Hence, period of time at which force is acted on the object is 0.90 sec.

RevyBreeze

Help me please I have no clue what the answer is!!!!!!!!!!!!

Answers

the 3rd option is the correct answer

(. ^ ᴗ ^.)

Let be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of f(x) dx. Width of each subinterval: 90 35 30 15 10 5 3 4 5

Answers

If three subintervals of equal length are used to do midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6, then width of each subinterval is  1.

To find the midpoint Riemann sum, you first need to divide the interval of integration (from 3 to 6) into three subintervals of equal length. You can choose subintervals of equal length manually by dividing the interval of integration into smaller parts. If we let the width of each subinterval be x, then the length of the interval is 6-3 = 3 and the length of each subinterval, x is 3/3 = 1.

Then, you need to find the midpoint of each subinterval by adding the left and right endpoint of each subinterval and dividing by 2.

For example, the first subinterval is from 3 to 4, so the midpoint is (3+4)/2 = 3.5

the second subinterval is from 4 to 5, so the midpoint is (4+5)/2 = 4.5

and the third subinterval is from 5 to 6, so the midpoint is (5+6)/2 = 5.5

To approximate the area under the curve of f(x) for each subinterval, you can use the value of f(x) at the midpoint of each subinterval and multiply it by the width of the subinterval.

--The question is incomplete, answering to the question below--

"Let f be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6. Width of each subinterval is ____."

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Newton's First Law of Motion means that it will take a force to start and stop an object in motion. a) True b) False

Answers

To start and stop an item in motion, according to Newton's First Law of Motion, requires a force.

Newton's First Law: What Is It? Why does it mean that?

Newton's first law encapsulates the idea that an object's velocity only changes in response to a force. Unless acted upon by a net external force, Newton's first law states that an object at rest will remain at rest and an object in motion will continue to move at a constant speed.

What does Newton's formula's first law state?

Unless acted upon by a net external force, Newton's first law states that an object at rest will remain at rest and an object in motion will continue to move at a constant speed.

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If you wanted to soundproof your bedroom, the best material to line the walls would be

1. dense material such as plywood
2. soft material such as a foam cushion
3. a very hard material such as ceramic tile

Answers

Answer:

a soft foam material because soft materials absorb sound better

How many pennies fit in 40cm diameter circle and how many nickels fit in a 20cm diameter circle?

Answers

And I can carry my nickels far more easily than you can your bucket of pen-nies. I would prefer to keep every pen-ny. A 40 inch circle would contain about 2507 pen-nies. About 493 nickels would be in a 20 inch circle.

A circle is a shape made up of all points in a plane that are at a specific distance from the center point.The diameter is the distance along the circle's center that must travel in order to touch two points on its periphery.The size of a circle essentially divides it in two.In can also be said that in order to go around a curve while maintaining a  distance from another point then there is a moving point in a plane must follow a specific path.While the radius encircles the circle from edge to edge, the diameter of a circle cuts through the center.

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A negative charge of -0. 0005 C exerts an attractive force of 9. 0 N on w second charge that is 10 m away. What is the magnitude of the second charge?

Answers

The second charge is 0.0002c in size. For a negative charge of -0. 0005 C, a second charge that is 10 metres away experiences an attracting force of 9.0 N.

In science, the issue of magnitude is undoubtedly of utmost significance. Magnitude typically refers to a size or a distance. We can relate magnitude to the movement by comparing the size and motion speed of the thing. A force in physics is an effect that has the power to alter an object's motion. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest).

q2 = 9*(10)^2/(9*10^9*0.0005)

q2 = 0.0002C

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A unitormly dense, spherical
planet has a mass of 4×1026 kg, as well
as a radius of 53,000 km. It also
happens to also be hollow in the
following way shown. What is the
magnitude of the gravitational field of
the planet at the point P, in N/kg?
Round your answer to two decimal
places.

Answers

The magnitude of the gravitational field of the planet depends on its mass and distance from the object being affected by it.

What is Gravitational field?

Gravitational field is a region of space where a mass or object experiences a force of gravity. It is caused by the presence of a massive object, such as a planet or star, which exerts a gravitational pull on other objects within its vicinity. The strength of the gravitational field is determined by the mass of the object and its distance from other objects.

The gravitational field of the planet at Point P can be calculated by using the equation,

g = G*M/r2

where G is the gravitational constant (6.67 x 10-11 Nm2/kg2), M is the mass of the planet (4 x 1026 kg), and r is the distance from the center of the planet to Point P (53,000 km).

Plugging in the values,

g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (53,000 km)2

g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (2.8409 x 1012 m2)

g = (6.67 x 10-11 Nm2/kg2) x (14.1636 x 1015 kg)

g = 9.5 x 10-5 N/kg

Therefore, the magnitude of the gravitational field of the planet at Point P is 9.50 x 10-5 N/kg.

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Rank the following items that describe distances from longest distance (left) to shortest distance (right). (If two distances are equal, drag the second item on top of the first item. )a- the distance from the Milky Way Galaxy to the Andromeda Galaxyb- the distance from the Sun to the center of the Milky Way Galaxyc- the distance from Earth to Alpha Centaurid- one light-yeare- the distance across out solar system (to Neptune)f- the average distance from Earth to the Sun & one astronomical unit (AU)

Answers

Galaxy: The distance was calculated in 2004 using the Cepheid variable method to be 2.51 0.13 million light-years (770 40 kpc). In the Andromeda Galaxy, an eclipsing binary star was found in 2005.

Explanation for the above answer:

The universe, Earth, the solar system, the Milky Way galaxy, the local group, and the local supercluster.

Astronomers discovered a truly enormous galaxy earlier this year. Alcyoneus is a massive radio galaxy that is around 3 billion light-years away and extends 5 megaparsecs into space. Its length, 16.3 million light-years, makes it the longest structure of known galactic origin.

Our Sun and the Earth are travelling at a speed of about 43,000 miles per hour (70,000 km/hr) roughly in the direction of the brilliant star Vega in the constellation Lyra relative to the local standard of rest.

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If you have a set of holiday lights that is on a series circuit, predict what would happen if the series circuit were cut off in the middle. Infer how this would differ from what would happen with a parallel circuit.

Answers

If the series circuit that powers your holiday lights were to be severed in the middle. The lights would all stop functioning. Only one light would stop working if the lights were linked in parallel circuit.

A series circuit is a straightforward circuit that enables electrons to go between one or more resistors. A resistor is anything that drains energy from a cell (battery). The resistor in a series circuit is typically a lightbulb. A series circuit is one in which the entire current flows through each element. A series circuit is a straightforward circuit that enables electrons to go between one or more resistors.

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Describe the gestalt principles of proximity similarity continuity and closure

Answers

Gestalt principles refer to a set of laws in psychology that describe how people perceive visual information. The four principles you mentioned are:

Proximity: Objects that are close to each other are perceived as being related to each other.

Similarity: Objects that are similar in appearance are perceived as being related to each other.

Continuity: People tend to perceive lines and shapes as continuing in the same direction, even if they are interrupted.

Closure: People tend to perceive incomplete shapes as complete, such as seeing a full circle when presented with a set of dots arranged in a circular pattern.

Who is Gestalt?

Gestalt theory reinforces the fact the whole of anything is greater than its parts. That is, the attributes of the whole are not deducible from analysis of the parts in isolation. The word Gestalt is utilized in modern German to imply the way a thing has been “placed,” or “put together.” There is no exact equivalent in English.

These principles help us understand how our brain organizes and interprets visual information, and are often used in design to create clear and effective visual layouts.

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A quarterback throws a ball at 50.00 m/s,and reaches the receiver 0.56 seconds later.What is the distance from the quarter back to the receiver

Answers

Answer: 64 m is the maxium distance the ball can travel

In a transformer, energy is carried from the primary coil to the secondary coil by
A. The magnetic field in the iron core
B. The electrical heating of the primary coil
C. Electricity conducted through the iron core
D. The difference in voltage between the primary and secondary coils.

Answers

In a transformer, energy is carried from the primary coil to the secondary coil by The magnetic field in the iron core.

What is transformer?

A Transformer is an electrical device used to increase or decrease the voltage provided to an electrical circuit. It is made up of two or more coils of wire wound around a common core. The coils are typically referred to as the primary and secondary winding. Electricity flowing in the primary winding creates a magnetic field, which in turn induces a voltage in the secondary winding. The ratio of primary to secondary winding determines the output voltage. Transformers are used extensively in the electricity distribution network, enabling the safe and efficient transmission of electricity over long distances.

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5. Harrison claims that waves travel faster when the particles within the medium are farther apart. Is Harrison correct?
A. Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
B. Harrison is incorrect because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.
C. Harrison is correct because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
D. Harrison is correct because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.​

Answers

Answer:

सं देश भर भर में नौ महिना अघिदेखि महिना अघिदेखि नै जातीय आधारमा प्रान्त पुगें र नेपाली जनताको लागि फरक छ तर त्यो पनि पाँचै वर्षमा धरासायी भयो पाँचै वर्षमा धरासायी भयो भने हेर्न त्यो पनि हो र स्वार्थी हुन्छ भन्थे यो मेरो पहिलो मृत्यु भएको हो। छ। यो म भने त्यो प्रेम कति

Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.

What is meant by vibration ?

Vibration is a periodic back-and-forth motion of the particles in an elastic body or medium.

Here,

Vibrations occurs when practically any physical system is moved out of its equilibrium condition and is left to react to forces that work to bring it back into equilibrium.

A periodic shift in time is referred to as a vibration. A wave is a regular oscillation in both space and time. The waves propagate from one point to another in a medium.

Most waves travel through different media, and this affects how fast they move.

In general, waves go through solids the quickest and gases the slowest. The reason for this is that while particles in a gas are farthest to one another, those in a solid are closer to one another.

Hence,

Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.

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The three wave pulses in the figure(Figure 1) travel along the same stretched string.
Rank in order, from largest to smallest, their wave speeds va, vb, and vc.

Answers

The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.

Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.

The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.

The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.

Consequently, va = vb = vc.

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can someone please answer this question in simple terms and not over complicated. i know nothing about the subject.

If you want to make a strong battery, should you pair two metals with high electron affinities, low electron affinities, or a mix? Explain your answer. (4 points)

Answers

Answer:

Mix

Explanation:

A battery has two electrodes, at one end it has the anode and the other end has the cathode. Electrons travel through the circuit from the anode (negative) to the cathode (positive), and this is the driving force that provides electricity to flow through circuits.

The anode needs to have a low electron affinity because it needs to readily release electrons, and the cathode needs to have a high electron affinity because it needs to readily accept electrons.

Energy can't be made or destroyed. It is only ever transferred, stored or dissipated. This means that energy is... what?​

Answers

It means energy is conserved.

Energy neither can be created nor can be destroyed,it only can be transferred from one form to another,this is called law of conservation of energy.
The energy is conserved due the law of energy conservation

A tuning fork is used to produce sound waves with a frequency of 514 hertz. The waves travel through the air at 343 m/s. What is the wavelength of the sound waves?

Answers

Answer:

0.667 m

Explanation:

Applying,

v = λf................ Equation 1

Where v = velocity of sound, λ = wave length, f = frequency

make λ the subject of the equation

λ = v/f.............. Equation 2

From the question,

Given: v = 343 m/s, f = 514 hertz

Substitute these values into equation 2

λ = 343/514

λ = 0.667 m

Hence the wavelength of the sound wave is 0.667 m

Item 2 Sea stars, sea urchins, sand dollars, and brittle stars are all members of the same group. What is the common name of the group to which they all belong

Answers

Sea stars, brittle stars, as well as feather stars are a few examples of echinoderms. Despite their apparent differences, echinoderms share two key identifying traits that make them all identifiable.

What is the reputation of echinoderms?

Echinoderms are effective scavengers of decomposing material on the seafloor and feed on a range of microscopic organisms, which helps control their population. Sea urchins can destroy tropical sea-grass beds when they are present in great numbers, harming the creatures that live there astrophysics

Why do they go by the name echinoderms?

Because of their spiny skin, Echinodermata are so termed (from the Greek "echinos" for "spiny" and "dermo's" for "skin"). There are around 7,000 described extant species in this phylum. Only marine species can be classified as Echinodermata.

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Among the elementary subatomic particles of physics is the muon, which decays within a few microseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at 8.85 * 105 cm>s

Answers

By using the formulae, λ = h/mv, The De Broglie wavelength of the muon is calculated to be 4.13 × 10^10 m, as according to the given data in the question.

Is the nanosecond the shortest?

The shortest measured time is 100 attoseconds. A quadrillionth of a minute is a femtosecond. One quadrillionth of a minute is a picosecond. One quadrillionth of a second is a nanosecond.

What is more compact than nano?

Particles are smaller than just a nanometer. Depending on the element, an atom is between 0.1 and 0.3 nm in size. Atoms on the a surface in a SEM image.

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Laney and Emma look up and see a rainbow. They know that the colors are arranged in wavelengths from longest to shortest, starting with red, then orange, yellow, green, blue, and then purple. Which color has the lowest frequency?

Answers

Answer:

The frequency of Red colour is minimum.

Explanation:

VIBGYOR

violet,Indigo,Blue, Green, yellow, Orange,Red

Violet to Red the wavelength increases and Frequency decreases.

Sorry I’m not answering your question but Do you know the answer to this: you are outside during the day, looking at a red car. What allows you to see the car? I think we are both in Light unit..

Plants need to....................synthesize
protein other than carbon oxygen and hydrogen.

option
1. Phosphorus
2. Calcium
3. Nitrogen
4. None of this​

Answers

Answer:

nitrogen

Explanation:

because I also had this in exam and I was correct

Other Questions
A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary.A drawing of a dog leashed to the corner of the house. The dog can moves in a circular path. The radius of the circular path is labeled 20 feet. The corner of the house sits at the center of the circle so that the house blocks part of the dog's path.The dog has about_______ square feet of running area. If the impact of the golf club on the ball in the previous question occurs over a time of 2 x 10^-3 seconds, what force does the ball experience to accelerate from rest to 73 m/s Which one of the following is a name for the range over which a company expects to operate? a. Fixed range b. Variable range c. Mixed range d. Relevant range Why did the buffalo begin to disappear?Government treaties to protect the buffalo were broken.Buffalo herds moved north into Canada as the white settlers arrived.Disease brought death to large herds of buffalo.White hunters killed buffalo in large numbers for food and profit. HELP THIS IS EASY I JUST DONT UNDER STAND MATH ITS ON PERCETEGES Why is it important to achieve balance in your life? Find the horizontal distance x the escalator covers to the nearest tenth of a foot. 1.What U. S. President is MOST associated with backing the Strategic Defense Initiative?a. Gerald Fordb. Jimmy Carterc. Ronald Reagand. George W. Bush2.What nickname was given to the Strategic Defense Initiative?a. The Patriotb. The Avengerc. Star Trekd. Star Wars3.Other than the cost, why did some people oppose SDI?a. SDI was made in China.b. The Soviets already had it.c. It might put weapons in space.d. It was not put to a popular vote. Please graph the question in the image. There are 3 people in Lee's familyThe range of their shoe sizes is 32 people in the family wear shoe size 6Lee's shoe size is not 6 and it is not 3What is Lee's shoe size For this assignment, you will create a multimedia presentation in which you answer the following prompt: Who was the most important contributor to the Harlem Renaissance and why constructivism in _______ focused on developing a new visual language for a new industrial age. Can space debris take out a whole state Find the value of x that will make A||B The American Civil Rights movement was marked by key events that changed the course of history. Choose ALLstatements that correctly describe some of these events. PLEASE HELP I WILL MARK THE BRAINLIEST AND GIVE 20 POINTSwe should not judge people by their appearance is one of the themes in Frankenstein. how do the events in the story and the characters' behavior convey this? Cite text evidence from the text to support your claims. The mighty oak tree outside of Matt's house had to be cut down. He missed the beautiful tree and the shade it provided and wanted to replace it with an oak tree that would grow quickly. The Nuttall Oak (Quercus nuttalli), the fastest-growing oak tree, grows 7 to 8feet per year (we'll assume it grows at a constant rate). At maturity, it can be up to 50 feet tall.Which of the following equations, where t represents time in years and h represents the height in feet, describe growth that is slower than the Nuttall Oak growth rate?CHOICES:A: h=5tB: h=8.5tC: h=10tD: h=50t To be able to walk to the center $C$ of a circular fountain, a repair crew places a 16-foot plank from $A$ to $B$ and then a 10-foot plank from $D$ to $C$, where $D$ is the midpoint of $\overline{AB}$ . What is the area of the circular base of the fountain A plane flying with an air speed of 300 mph at 50 degrees and it crosses the jet stream, which is blowing at 200 mph at an angle of 160 degrees. The plane's actual velocity with respect to the ground is the vector sum of these two velocities. Find the actual velocity to the nearest whole mph and degree (add the sum of the vectors). What is the relationship between III-1 to III-2