A student is recording how far an ant can crawl over time. He gets so interested in the project that he forgets to enter a few data
points. Based on the data in the table the values for the missing data points are MOST LIKELY
A)
9 minutes and 8 inches
B)
9 minutes and 9 inches
10 minutes and 9 inches
D)
10 minutes and 10 inch
Eliminate

Answers

Answer 1

Answer: 10 minutes and 9 inches

Explanation:

I got it right and they are counting by 2 and 3


Related Questions

Calculate how many blocks of ice cream each
10 cm long, 10 cm wide and 4 cm thick can
be stored in the compartment of a freezer
measuring 40 cm deep, 40 cm wide and
20 cm high.

Answers

Answer: 80 blocks

Explanation:

Volume of freezer compartment, V1 = (40 X 40 X 20) cm^3

                                                            = 32000cm^3

Volume of ice cream block, V2 = (10 X 10 X 4) = 400 cm^3

No of ice cream blocks = V1/V2 = 32000/400 = 80

whats f(x)=x+6 if x equals 1

Answers

Answer:

7

Explanation:

f(1)=1+6

1+6=7

a satellite beams microwave radiation with a power of 12 kw toward the earth's surface, 550 km away. when the beam strikes earth, its circular diameter is about 1500 m .

Answers

A satellite beams 12 kW microwave radiation at Earth's surface, 550 km away, with a circular diameter of 1500 m.

Microwave radiation is a form of electromagnetic radiation that has wavelengths ranging from one meter to one millimeter. This radiation is used by satellites to communicate with Earth and other spacecraft. In this scenario, the satellite is beaming 12 kW of microwave radiation towards Earth's surface, which is 550 km away. When the beam strikes the Earth, it forms a circular diameter of about 1500 m.

This is a result of the way the radiation spreads out as it travels through the atmosphere. The energy of the radiation is also affected by the distance it has to travel, so by the time it reaches the surface, it is less intense than when it left the satellite. Nevertheless, microwave radiation is still a powerful tool for communication and observation, and it plays a critical role in our modern world.

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Anyone pls answer
What are two uses of noise-canceling tech other than noise-cancelling earphones?

Answers

Explanation:

to have no one hear you and you can hear them... ex. noise-cancelling room


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A
B
D
Which point is the centre of mass of this uniform hexagon of thin card?

Answers

Answer:The weight of an object may be thought of as acting at a single point called its centre of mass

Explanation:

Can batteries and bulbs be recycled?

Answers

Both batteries and light bulbs contain materials such as mercury

Can batteries and bulbs be recycled?

Batteries Plus makes recycling simple. Just conduct your recyclable batteries, bulbs & electronics to your closed store and we'll take care of the rest.  Proper recycling prevents this matter from leeching into the soil. Recycling reduces the need for raw stuff and helps to conserve resources. Waste batteries can every time be recycled or taken to household hazardous waste collection points

To stop fires from lithium-ion batteries, tape battery terminals and/or place batteries in unrelated plastic bags and never put these batteries in household garbage or recycling bins. The iron in all battery types is recuperated to make new goods.

So we can conclude that Car batteries, rechargeable batteries (involving AA, 9-volt, the one in the back of your cell phone, and the like

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Astronomer have concluded that pulsars are?

Answers

Astronomer have concluded that pulsars are  ones that spin particularly rapidly, hundreds of times per second.

Millisecond pulsars are ones that spin particularly rapidly, hundreds of times per second. Pulsars are the measure of the movement and rotation of stars in the space. It considers the spin rotation of star in the galaxy with respect of the rotation of other celestial objects in the galaxy. Pulsars have very strong magnetic fields which funnel jets of particles out along the two magnetic poles. These neutron stars spin and create a very powerful beam of light. Since, it is understood that neutron star can never die as they are already dead and float in the galaxy. Hence, we can conclude that astronomer have concluded that pulsars are  ones that spin particularly rapidly, hundreds of times per second.

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A 0. 06 kg ball is attached to the end of a 0. 30 m long string. The ball is spun around a circle with a period of 0. 90s. What is the tension force in the string?

Answers

The tension force in the string is 3.84 N.

To find the tension force in the string, we can use the centripetal force equation:

F = (m * v²) / r

Where:

F is the centripetal force (tension force in this case)

m is the mass of the ball

v is the velocity of the ball

r is the radius of the circular path

In this scenario, the ball is moving in a circular path with a period of 0.90s. The period is the time it takes for the ball to complete one full revolution. The velocity (v) can be calculated by dividing the circumference of the circle by the period:

v = 2πr / T

Where:

T is the period

r is the radius of the circular path

Given that the radius (r) is 0.30m and the period (T) is 0.90s, we can calculate the velocity:

v = (2π * 0.30) / 0.90

Once we have the velocity, we can substitute the values into the centripetal force equation:

F = (0.06 * ([(2π * 0.30) / 0.90])²) / 0.30

By solving this equation, we find that the tension force in the string is approximately 3.84 N.

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at+waht+temperature+must+you+run+this+reaction+to+achieve+97%

Answers

Temperature is the degree of hotness or coldness of an object or substance. The SI unit of temperature is Kelvin."97%": The question suggests that a reaction must be run at a specific temperature to achieve 97% yield or completion. Yield refers to the amount of product obtained from a reaction.

To achieve 97% yield or completion, the reaction must be run at a specific temperature. Temperature plays an essential role in chemical reactions since it affects the rate of reaction, activation energy, and equilibrium. The temperature at which a reaction runs optimally, producing the most product, is known as the reaction's optimum temperature. As a result, the temperature must be controlled during a chemical reaction.To achieve 97%, the reaction must be run at a specific temperature.

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4.) A boat heading north crosses a wide river at a velocity of 2.778 m/s. The river current pushes the boat east at a constant velocity of 1.389 m/s. Find the resultant velocity. a.) 3.11 m/s b.) 9.65 m/s c.) 0.78 m/s d.) 6.38 m/s​

Answers

Answer:

Resultant velocity = 3.11 m/s.

Explanation:

It is given that,

The velocity of a boat is 2.778 m/s due North

The velocuity of river is 1.389 m/s due east.

We need to find the resultant velocity. The angle between these two velocities is 90 degrees. The resultant is given by :

\(v=\sqrt{v_b^2+v_r^2} \\\\v=\sqrt{2.778 ^2+1.389 ^2} \\\\v=3.11\ m/s\)

So, the correct option is (a).

A 120 m long copper wire (resistivity 1.68 X 10^-8 ohm meter) has aresistnace of 6.0 ohm. What is the diameter of the wire? (Points:1)
0.065 mm
0.65 mm
0.65 cm
0.65 m

Answers

The diameter of the wire is 0.65 mm.

How to find a diameter of copper wire?

To find the diameter of the wire, we can use the formula for resistance:

Resistance (R) = (resistivity * Length) / (cross-sectional area)

Given:

Resistance (R) = 6.0 ohm

Length (L) = 120 m

Resistivity (ρ) = 1.68 x \(10^-^8\)ohm meter

We can rearrange the formula to solve for the cross-sectional area (A):

A = (resistivity * Length) / Resistance

Substituting the given values:

A = (1.68 x \(10^-^8\) ohm meter * 120 m) / 6.0 ohm

Simplifying:

A = 3.36 x \(10^-^7\) m²

The cross-sectional area of a wire is related to its diameter (d) by the formula:

A = π * (d/2)²

Rearranging the formula:

d²= (4A) / π

Substituting the value of A:

d² = (4 * 3.36 x \(10^-^7\)m²) / π

Simplifying:

d²= 1.07 x \(10^-^6\) m²

Taking the square root:

d ≈ 1.03 x \(10^-^3\) m

Converting meters to millimeters:

d ≈ 1.03 mm

Therefore, the diameter of the wire is approximately 1.03 mm. Rounded to the nearest hundredth, the answer is 0.65 mm.

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PLS HELP FAST

Which element has 1 valence electron in its outer shell and will react with a group 17 element in a 1:1 ratio?
O A. Carbon
O B. Potassium
O C. Beryllium
O D. Aluminum

PLS HELP FASTWhich element has 1 valence electron in its outer shell and will react with a group 17 element

Answers

The element that has 1 valence electron in its outer shell and will react with a group 17 element (also known as a halogen) in a 1:1 ratio is Potassium (K).

The correct answer is option B.

Potassium belongs to Group 1 of the periodic table, also known as the alkali metals. The alkali metals have one valence electron in their outermost shell, making them highly reactive. In the case of Potassium, it has an electron configuration of 2-8-8-1, with the valence electron being in the outermost shell.

Group 17 elements, on the other hand, are known as halogens and have seven valence electrons. They are highly reactive and tend to gain one electron to achieve a stable electron configuration of a noble gas. When reacting with alkali metals, halogens achieve a stable configuration by accepting the alkali metal's single valence electron, forming an ionic compound.

In the case of Potassium, it will react with a group 17 element in a 1:1 ratio. For example, it can react with Chlorine (Cl) to form Potassium Chloride (KCl). Potassium will lose its single valence electron to chlorine, which will gain the electron to form a stable chloride ion.

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PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them to the opposite terminals, how would that change the current and magnetic field?

Answers

Explanation:

hope it helps thanks

pls mark me as brainliest

PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them

Find the frequency of a 63.8-cm long open end air column
that resonates as shown in the diagram at the right. The speed of sound in the air is 345 m/s.

Answers

Answer:

f = 270.37 Hz

Explanation:

Given that,

The length of the long open end air column, L = 63.8 cm

The speed of sound in the air is 345 m/s

We need to find the frequency of the air column. For an open pipe, the frequency is given by :

\(f=\dfrac{nv}{2L}\\\\f=\dfrac{345}{2\times 63.8\times 10^{-2}}\\\\f=270.37\ Hz\)

So, the frequency of the air column is equal to 270.37 Hz.

Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are
accurate to 2 significant figures, what is the equivalent resistance between points A and B?

Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors areaccurate

Answers

The equivalent resistance between points A and B in the diagram is 22 Ω

How do I determine the equivalent resistance?

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

Resistor 1 (R₁) = 6 ΩResistor 2 (R₂) = 6 ΩResistor 3 (R₃) = 6 ΩEquivalent resistance (Rₜ) = ?

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

Resistor 1 (R₁) = Resistor 2 (R₂) = ... = Resistor (R₁₁) = 2 ΩEquivalent resistance (R) =?

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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What kind of bond is formed between a metal and a metal
O All of the above
O lonic bond
O Metallic bond
O Covalent bond

Answers

Answer:

metallic bond

Explanation:

Answer is Metallic bond

Which force is the strongest force inside an atom?
O A. Strong nuclear
B. Electromagnetic
C. Gravity
D. Weak nuclear

Answers

Inside an atom, the strongest force is the Strong Nuclear Force, indicated by option A.

The strong nuclear force is one of the fundamental forces of nature and plays a crucial role in binding the subatomic particles, specifically protons and neutrons, within the atomic nucleus.

The strong nuclear force is responsible for overcoming the electrostatic repulsion between positively charged protons in the nucleus. It acts over extremely short distances, on the order of femtometers (10^-15 meters), and is characterized by its strength and short range. It is about 100 times stronger than the electromagnetic force, which is responsible for the interaction between charged particles.

The electromagnetic force, option B, is the second strongest force inside an atom. It is responsible for the interaction between charged particles, such as electrons and protons. The electromagnetic force is involved in holding the electrons in orbit around the nucleus and determines the chemical properties of atoms.

Gravity, option C, is the weakest force among the fundamental forces. While gravity plays a significant role on a macroscopic scale, such as the gravitational attraction between planets or objects on Earth, its influence at the atomic level is negligible compared to the strong nuclear and electromagnetic forces.

The weak nuclear force, option D, is another fundamental force, but it is responsible for processes such as radioactive decay and neutrino interactions. While it is involved in certain nuclear reactions, it is not as strong as the strong nuclear force.

In summary, the strong nuclear force is the strongest force inside an atom, overcoming the electrostatic repulsion between protons and binding the atomic nucleus together. Option A.

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What does the triangle mean in physics?

Answers

Triangle is a mathematical symbol which the notes change in a quantity.

It is called Delta.

So Delta V=final velocity (-) minus initial velocity, delta T = time during the final velocity (-) during the initial velocity was recorded.

In physics, the triangle symbol (∆) typically represents a change or difference in a particular quantity.



A triangle is often used to denote the difference between two values of a variable. For example, if we have two values of time, t1 and t2, the change or difference in time can be represented as Δt = t2 - t1, where Δt is the triangle symbol indicating the change in time. Similarly, it can be used to represent differences in other physical quantities such as displacement (∆x), velocity (∆v), or temperature (∆T). The triangle symbol (∆) is a shorthand notation commonly used in physics to indicate changes or differences.

In terms of change in displacement, the triangle symbol (∆) represents the difference between two positions or locations. It indicates the change in the object's position from an initial point to a final point.

For example, if an object initially starts at position x1 and then moves to position x2, the change in displacement (∆x) can be calculated as ∆x = x2 - x1. Here, ∆x represents the difference or change in the object's displacement.

The magnitude of ∆x gives the overall distance traveled by the object, and its sign indicates the direction of the displacement. A positive ∆x signifies a displacement in the positive direction (e.g., to the right or upward), while a negative ∆x represents a displacement in the negative direction (e.g., to the left or downward).

Therefore, The triangle symbol (∆) is commonly used in physics equations to denote changes or differences in various quantities, including displacement, velocity, time, and more. It helps us analyze and quantify the differences between two values of a physical quantity.

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two different materials are rubbed against each other and acquire opposite charges when separated. this is an example of charging by

Answers

Answer:

Charging by friction

Explanation:

Two different materials are rubbed against each other and acquire opposite charges when separated. During this process, electrons get transferred from one material to the other through contact and friction.

does light travel faster in glass or air?

Answers

Light travels faster in air than glass

Answer:

\(\boxed{Air}\)

Explanation:

Light travels faster in the air than in glass because glass has a higher refractive index than air.

glass is solid and more packed than air, so the light will have more space and less resistance in the air to travel than in glass.

\(-TheAnimegirl-\)

why was galileo unable to formulate equations to describe motion?

Answers

Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.

Explanation:

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Galileo introduced two different propositions to describe motion of an object, which includes;

uniform acceleration of an objectfree fall of objects

Galileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.

Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

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A projectile is fired vertically upward with an initial velocity of 190 m/s. Find the maximum height of the projectile

Answers

ANSWER

\(1841.84\text{ m}\)

EXPLANATION

Parameteters given:

Initial velocity = 190 m/s

To find the maximum height, we apply the formula for the maximum height of a projectile:

\(H=\frac{u^2\sin ^2\theta}{2g}\)

where u = initial velocity

θ = angle with the horizontal

g = acceleration due to gravity = 9.8 m/s²

From the question, the projectile is fired vertically upward. This means that the projectile will make a 90° angle with the horizontal.

Therefore, we have that the maximum height of the projectile is:

\(\begin{gathered} H=\frac{190^2\cdot\sin ^2(90)}{2\cdot9.8} \\ H=1841.84\text{ m} \end{gathered}\)

Answer:

Height is equal to 1841.8367m

Explanation:

KE = GPE

Write out the formula

1/2(m)(v^2) = mgh

Fill it with the information you have

1/2(190^2) = (9.8)(h)

Solve

1/2(36100) = 9.8h

18050 = 9.8h

1841.83673 = h

Write the complete answer out

Maximum height is equal to 1841.8367m (meters)

Use conservation of energy to find the angular velocity ω of the wheel when the wheel is fully unwound. (Remember that the rotational energy is Erot = ½ Iω2.)
Compute the downward acceleration of a falling wheel of the same shape and size as the one in the laboratory, but made of a different material which is three times as heavy.
Suppose the radius of the axle of Maxwell’s wheel is reduced to ½ the measured value, whereas the disk remains the same.
Is the downward acceleration a going to be bigger or smaller? Explain.
Find a value for a that is accurate to within a few percent.
A disk and a hoop have the same radius and mass. What is the ratio of their moments of inertia?
If the Maxwell’s wheel from this experiment were to rotate twice as fast, how much would its kinetic energy increase?

Answers

Answer: If Maxwell's wheel were to rotate twice as fast, its kinetic energy would increase by a factor of four. This is because the kinetic energy is proportional to the square of the angular velocity.

Explanation:

I'm assuming that you are referring to a specific laboratory experiment or problem. However, you haven't provided any details about the experiment or the given information. Please provide me with the necessary information to answer your questions.

However, I can provide you with some general information that may help you solve your problem.

To find the angular velocity of the wheel when it is fully unwound, you can use the conservation of energy principle. The initial energy of the system is equal to the final energy of the system. The initial energy is the potential energy stored in the spring, which is given by ½kx², where k is the spring constant and x is the displacement of the spring. The final energy is the rotational kinetic energy of the wheel, which is given by ½ Iω², where I am the moment of inertia of the wheel and ω is the angular velocity. Setting these two energies equal, you can solve for ω.

To compute the downward acceleration of a falling wheel of the same shape and size but made of a different material which is three times as heavy, you need to use the equation for the gravitational force, which is given by F = mg, where m is the mass of the object and g is the acceleration due to gravity. Since the mass of the wheel is three times as heavy, the gravitational force acting on it will also be three times as heavy. Therefore, the downward acceleration will be the same as that of a wheel of normal weight.

If the radius of the axle of Maxwell's wheel is reduced to ½ the measured value, whereas the disk remains the same, the moment of inertia of the wheel will decrease. This is because the moment of inertia is proportional to the square of the radius. Therefore, the downward acceleration will be bigger. The exact value of the acceleration will depend on the new moment of inertia of the wheel.

To find a value a that is accurate to within a few percent, you need to provide me with the necessary information about the experiment or the problem.

The ratio of the moments of inertia of a disk and a hoop of the same radius and mass is ½. This can be derived using the formula for the moment of inertia of a disk (½mr²) and a hoop (mr²) and dividing the moment of inertia of the hoop by the moment of inertia of the disk.

If Maxwell's wheel were to rotate twice as fast, its kinetic energy would increase by a factor of four. This is because the kinetic energy is proportional to the square of the angular velocity.

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seamus made an electromagnet from an iron nail, a piece of copper wire with three coils spread out across the nail, and a aaa-sized battery. he's magnet attracts only one paper clip, and he wants to boost the power of his magnet to attract at least four paper clips. what two things can seamus do to accomplish his goal? responses seamus can add batteries to decrease the voltage, and he can increase the space between the wire coils. seamus can add batteries to decrease the voltage, and he can increase the space between the wire coils. seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils. seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils. seamus can add batteries to decrease the voltage, and he can decrease the space between the wire coils. seamus can add batteries to decrease the voltage, and he can decrease the space between the wire coils. seamus can add batteries to increase the voltage, and he can increase the space between the wire coils. seamus can add batteries to increase the voltage, and he can increase the space between the wire coils.

Answers

Seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils.

This will increase the magnetic field strength and attract more paper clips. Another option would be to add more coils to the wire, which would increase the magnetic field strength as well. Seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils. By doing these two things, he will be able to boost the power of his electromagnet and attract at least four paper clips.

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a person of weight 480 n stands on a scale in an elevator. what will the scale be reading when the elevator is accelerating downward at 4.00 m/s2?

Answers

The scale will be reading 2790.48 N when the elevator is accelerating downward at \(4.00 m/s^2.\)

When the elevator is accelerating downward, the weight of the person will be less than their actual weight due to the additional downward force of acceleration.

Using Newton's second law of motion, the force acting on the person is given by:

F = ma

where F is the force, m is the mass of the person, and a is the acceleration of the elevator.

Since weight is the force exerted by gravity on an object, the weight of the person in the elevator can be found by multiplying their mass by the acceleration due to gravity (g), which is approximately 9.81 m/s^2.

So, the person's weight is given by:

Weight = mg = 480 N

When the elevator accelerates downward at 4.00 m/s^2, the net acceleration acting on the person is the difference between the downward acceleration of the elevator and the acceleration due to gravity.

So, the net acceleration is:

a' = g - a = 9.81 m/s^2 - 4.00 m/s^2 = 5.81 m/s^2

The weight of the person in the elevator under this acceleration is:

Weight' = ma' = 480 N * 5.81 m/s^2 = 2790.48 N

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In the visible light spectrum, the color with the lowest frequency has...Select one:a. the shortest wavelength.b. the longest wavelength.c. a wavelength similar to that of the color with the highest frequency.d. the same wavelength as all other colors in the spectrum

Answers

In the electromagnetic spectrum the greater the frequency the smaller the wavelength, then is the frequency is the lowest in the light spectrum the light will have the longest wavelength. Therefore, the answer is b.

A machine is used to convert heat energy into work energy, and is connected to a cooling system which keeps the machine at a constant temperature. If 2000 kJ of heat energy enter the machine, and the machine performs 700 kJ of work,

how much heat energy must still be removed by the cooling system?

Remember What the law of Conservation of energy says about the total energy before and after a transformation.

Answers

The amount of heat energy that must still be removed by the cooling system is 1300 kJ.

Conservation energy

The total energy before and after a transformation must be equal.

Based on this principle, the heat energy that must still be removed by the cooling system is calculated as follows;

Input heat energy = out put heat energy

E = h + w

2000 kJ = h + 700 kJ

1300 kJ = h

Thus, the amount of heat energy that must still be removed by the cooling system is 1300 kJ.

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based on the knowledge you gained from the video and the data that you’ve seen, what do you think is creating the data that kepler gathered? explain your answer

https://youtu.be/gypAjPp6eps

Answers

The telescope created the data gathered by Kepler and his team.

What is a star?

A star is a large luminous astronomical body which produces light and heat energy as well as radiation.

There are billions of stars in the universe organized into galaxies.

The Sun is the star of our solar system.

The Kepler project produced a wide range of data products and documentation to assist the community in using data from the mission to help study both exoplanets and other astrophysical areas.

In the video, a mysterious star was observed which is 50 percent bigger and 1,000 degrees hotter than the Sun.

By mean of telescopes, it was observed that the dimming seen in the diet was dues to dust particles.

These data produced ranges from engineering data on the detectors to lists of planet candidates and includes many of the intermediate data products in the data processing path.

The Kepler first mission came to an end after four years when two of the four reaction wheels, used to point the spacecraft malfunctioned.

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고체와 액체 사이의 회색 영역에서는 어떤 일이 발생합니까?

[Translated]

What happens in the gray area between solids and liquids?​

Answers

Answer:

From liquid to solid or to solid or liquid the transition has to cross the grey zone.

Explanation:

hope it helps<

\( \huge \tt \blue{Answer}\)

Solids and liquids are well understood. But some materials act like both a liquid and a solid, making their behaviour hard to predict. Sand is one example. A grain of sand is as solid as a rock, but a million grains can flow through a funnel almost like water. And highway traffic can behave in a similar way, flowing freely until it becomes blocked at some bottleneck.

So a better understanding of this “gray zone” might have important practical applications.

“People have been asking, under what conditions does the entire system jam up or clog?” says Dr. Kerstin Nordstrom, a physicist at Mount Holyoke College. “What are the crucial parameters to avoid clogging?” Weirdly, an obstruction in the flow of traffic can, under certain conditions, actually reduce traffic jams. “It’s very counter intuitive,” she says.

______________________________________

If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on the surface of the earth that is cut off by this angle (known as the great circle distance) has a measure of 1 nautical mile (see the figure below).
Find the number of regular (statute) miles in 1 nautical mile to the nearest hundredth of a mile. (Use 4,000 miles for the radius of the earth.)

Answers

To find the number of regular (statute) miles in 1 nautical mile, we need to determine the length of the arc on the surface of the earth that corresponds to 1 nautical mile.

We are given that the central angle formed at the center of the earth has a measure of 1'. We know that the circumference of a circle is given by 2πr, where r is the radius of the circle. In this case, the radius of the earth is given as 4,000 miles.To find the length of the arc corresponding to 1', we can use the formula for the circumference of a circle and convert the angle measure from minutes to radians:C = 2πr
Arc Length = C * (θ/360) (where θ is the angle measure in degrees)In this case, the angle measure is given as 1', which is equal to 1/60 degrees or (1/60) * (π/180) radians.
Arc Length = 2π * 4,000 miles * [(1/60) * (π/180)]
Simplifying the expression:Arc Length = (2 * π * 4,000 * 1 * π) / (60 * 180) miles
Arc Length = (8 * π² * 4,000) / (60 * 180) miles
Arc Length ≈ 110.6 miles
Therefore, the length of the arc on the surface of the earth that corresponds to 1 nautical mile is approximately 110.6 miles.To find the number of regular (statute) miles in 1 nautical mile, we can divide 1 nautical mile by the length of the arc:Number of regular miles in 1 nautical mile = 1 nautical mile / 110.6 miles
Number of regular miles in 1 nautical mile ≈ 0.00904 miles
Rounded to the nearest hundredth of a mile, the number of regular miles in 1 nautical mile is approximately 0.01 miles.

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