Find the equation for ​(a) the tangent plane and ​(b) the normal line at the point P0(1/3,1,e) on the surface 6xlny+ylnz=3x.
​(a) Using a coefficient of 3 for​ y, the equation for the tangent plane is

Answer:

Yes please message me and I will help you

Explanation:

The correct answer for how the albedo of polar regions affect insolation is: Low temperatures are maintained because of the high amount of reflection.

The albedo of a surface refers to its ability to reflect sunlight. Higher albedo means more sunlight is reflected, while lower albedo means more sunlight is absorbed. Polar regions, such as the Arctic and Antarctic, have high albedo due to the presence of ice and snow, which reflect a significant portion of incoming sunlight.

When sunlight hits the polar regions with high albedo, a large portion of it is reflected back into space rather than being absorbed by the surface. As a result, less solar energy is available to heat the surface, leading to lower temperatures in these regions.

Therefore, low temperatures are maintained in polar regions because of the high amount of reflection caused by their high albedo.

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On a hot dry day, the amount of water vapour present in atmosphere is less. Thus, water present inside the desert cooler evaporates more, thereby cooling the surroundings more. Hence, a desert cooler cools better on a hot dry day.

The full form of rms velocity is Root mean square velocity. The temperature at which hydrogen molecules have the same rms speed as nitrogen molecules at 155 ∘C is 30.57 K.

The root mean square velocity is defined as the square root of the mean of squares of the velocity of individual gas molecules. The equation used to calculate the rms velocity is:

Vrms = √3RT / M

155°C = 155 + 273 = 428 K

'M' is molar mass

Vrms N₂ = √3R × 428 / 28      (1)

Vrms H₂ = √3RT / 2                (2)

From the equation (1) and (2),

√3RT / 2  = √3R × 428 / 28

3RT / 2 = 3R × 428 / 28

T = 30. 57 K

Thus at 30. 57 K hydrogen molecules have the same rms speed as nitrogen molecules.

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Answer:

I think B but I could be wrong

Explanation:

Larry Page, real name Lawrence Edward Page, is a computer scientist and entrepreneur from the United States who co-founded Goo-gle, one of the most well-known websites on the Internet, with Sergey Brin on March 26, 1973 in East Lansing, Michigan.

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a) The number of liters of gas is 2.955 L

b) The mass of the small bar of platinum is 12.64 kg.

Given data:

a)

To calculate the number of liters of gas required to drive 65.5 kilometers in a car that gets 52.0 miles per gallon, we need to convert both the distance and the fuel efficiency to a consistent unit of measurement.

1 mile is approximately equal to 1.60934 kilometers. Therefore, 65.5 kilometers is approximately equal to 40.68 miles.

Now we can calculate the number of gallons of gas required:

Number of gallons = Distance / Fuel efficiency

Number of gallons = 40.68 miles / 52.0 miles per gallon

Number of gallons ≈ 0.782 gallons

To convert gallons to liters, we use the conversion factor: 1 gallon = 3.78541 liters.

Number of liters = Number of gallons * 3.78541

Number of liters ≈ 0.782 gallons * 3.78541 liters/gallon

Number of liters ≈ 2.955 liters

Therefore, approximately 2.955 liters of gas will be required to drive 65.5 kilometers in the given fuel-efficient car.

b)

Regarding the mass of a small bar of platinum, measuring 1 foot long, 3 inches wide, and 1 inch deep, we need to convert the measurements to a consistent unit (either inches or feet) before calculating the volume and then multiplying it by the density of platinum.

1 foot is equal to 12 inches. Therefore, the dimensions of the bar can be converted to 12 inches long, 3 inches wide, and 1 inch deep.

Volume = Length * Width * Depth

Volume = 12 inches * 3 inches * 1 inch

Volume = 36 cubic inches

To convert cubic inches to cubic centimeters (cm³), we use the conversion factor: 1 cubic inch = 16.3871 cubic centimeters.

Volume = 36 cubic inches * 16.3871 cm³/cubic inch

Volume ≈ 590.3526 cm³

Now we can calculate the mass using the density of platinum:

Mass = Volume * Density

Mass = 590.3526 cm³ * 21.45 g/cm³

Mass ≈ 12637.8697 grams or 12.64 kilograms (rounded to two decimal places)

Hence, the mass of the small bar of platinum measuring 1 foot long, 3 inches wide, and 1 inch deep is approximately 12.64 kilograms.

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The potential energy at this position is 196 joules.

What is potential energy ?

potential energy stored in  energy that depends upon to  the relative position of the  various parts of a system. A spring has more potential energy when it is the  compressed or stretched. A steel ball has more potential  energy raised above the ground than it has the after falling to Earth.

Sol-

m=10kg  h=2m  Ep=mgh  Ep=(10kg)(9.8 m/sec2)(2m)

Ep=196J.

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

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The correct rank of the given hypothetical planets having the same radius from the lowest moment of inertia to the highest moment of inertia is 4231

First of all we must know that because of the relationship of the moment of inertia to the rotation is exactly analogous and represents that if a body has lower moment of inertia than a body with higher moment of inertia. Even if the bodies (or here in this case as given) masses and sizes are equal. Now it is very important to know that the object or planets with more mass at the centre means to have lower moment of inertia full stop hence as per the discussion of the given information, the rank of the hypothetical planet as per the given conditions will be 4231.

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Answer:

Greater than

Explanation:

Distance is the length of the path traveled.  Displacement is the difference between the final position and initial position.

Speed = distance / time

Velocity = displacement / time

Since you return to your starting point, your displacement is 0 m, so your average velocity is 0 m/s.  Therefore, your average speed is greater than your average velocity.

Speed ls a function of distance and time, while velocity is a function of displacement and time. Since the rider returned to his starting point, then the magnitude of the average speed is greater than the magnitude of the average velocity

The total distance traveled will be sum of the 'to' and 'fro' distance.

The total displacement will be 0 (Final position - Initial position) ; since the rider returned to his starting position.

This means the average velocity will be 0 while the average speed will have a value greater than 0.

Therefore, the average speed will be greater.

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The specific heat of copper is 0.385J/(g°C) and the heat that has been added to the copper block is 13044.724J/(g°C)

To calculate the amount of heat added to the copper block, we can use the formula:

Q = mcΔT

Where:

Q is the heat added (in joules),

m is the mass of the copper block (in grams),

c is the specific heat of copper (in J/g°C), and

ΔT is the change in temperature (in °C).

Given:

Mass of the copper block, m = 103.3 g

Initial temperature, T_initial = -77°C

Final temperature, T_final = 251°C

Specific heat of copper, c = 0.385J/(g°C)

Q = 103.3×0.385×(251+77)

Q = 13044.724J/(g°C)

The amount of the heat added to the copper block is 13044.724J/(g°C)

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Question:

What do you think will happen to the people in the airplane if their location is unknown?

My opinion:

I mean what are the circumstances? Is it just a rogue pilot that takes a random plane with all the passengers Hostage or is It bad whether an they lose connection to the airport? I Mean either way, If I was on a plane being held hostage, or the plane crashing, I Would be a in a panic type state of mind. I Would be worried about what will happen when the plane crashes, I would worry about my friends or family that is aboard the plane with me, I Would be scared for my life because I Don't know if i would make it out alive.

Also:

How would they know their location is unknown wouldn't the Pilot be the only one to know exactly where there with their navigating system, But then again there was this time I headed to Florida an They had mini tv's on the seats of each chair, where you could: Watch movies, listen to music, an Also see exactly where you are in the world. It was really amazing actually.

Answer:

solution

given,

mass(m)=5040kg

kinetic energy(ke)=493,900

velocity(v)=?

\(ke = \frac{1}{2} mv {}^{2} \\ 493900 = \frac{1}{2} \times 5040 \times v {}^{2} \\ 493900 = \frac{5040v {}^{2} }{2} \\ 493900 = 2520v {}^{2} \\ v {}^{2} = 196 \\ v = \sqrt{196} \\ v = 14ms {}^{ - 1} \)

When an object moves from one point to other point, it possess the energy which is called the Kinetic energy of the object.

The velocity of he bus is 14 m/s.

Given that, a bus travelling through town, with a mass of 5040 kg and kinetic energy of  493,900 J.

So the kinetic energy expressed by the formula given below.

\(k=\dfrac {1} {2}mv^2\)

Where, \(k\) is the kinetic energy in joules, \(m\) is the mass of object in kilograms and \(v\) is the velocity of the object in meter per second.

So the velocity of the bus can be calculated by substituting the values in above formula.

\(493900=\dfrac{1}{2}\times5040\times v^2\)

\(v^2=196\\\\v=\sqrt{196}\\v=14\;\rm m/s\)

The velocity of he bus is 14 m/s.

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Answer:

b.positive and decreasing in magnitude.

Explanation:

The kinematics of a body can be calculated by means of the following expression.

\(v_{f}=v_{o}-g*t\)

where:

vf = final velocity [m/s]

vo = initial velocity = 40 [m/s]

g = gravity acceleration = 9.81 [m/s²]

t = time [s]

As we can see from the above equation, the final velocity of a body decreases its initial velocity as time increases. That is, as the body rises, the velocity decreases.

The parallax angle for the star Hadar is 0.010 arcseconds. 100 PC far away is Hadar.

Parallax angle is a displacement or distinction in the apparent function of an item considered alongside two one-of-a-kind lines of sight and is measured by the attitude or semi-perspective of inclination among those two lines. because of foreshortening, close-by objects display a bigger parallax than farther items when found from distinct positions, so parallax may be used to determine distances.  

To a degree of big distances, including the gap between a planet or a star from Earth, astronomers use the precept of parallax. right here, the term parallax is the semi-perspective of inclination between sightlines to the megastar, as observed while Earth is on contrary sides of the solar in its orbit. those distances shape the lowest rung of what's called "the cosmic distance ladder", the first in a succession of methods by which astronomers determine the distances to celestial items, serving as a basis for other distance measurements in astronomy forming the higher rungs of the ladder.

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Compared to the surface gravity of Earth, the surface gravity on planet X is approximately 2.63 times greater. This means that objects on planet X would feel much heavier than they would on Earth.

Surface gravity is defined as the force that pulls objects towards the center of a celestial body. The force of gravity is determined by the mass and size of the object. In the case of planet X, it has twice the mass and twice the radius of Earth.

To calculate the surface gravity of planet X compared to Earth, we can use the formula:

Surface gravity = G(Mass of celestial body) / (Radius of celestial body)²

where G is the gravitational constant.

For Earth, the mass is approximately 5.97 x 10²⁴ kg and the radius is approximately 6,371 km.

Plugging in these values, we get:

Surface gravity of Earth = (6.67 x 10⁻¹¹ N(m² /kg² )) (5.97 x 10²⁴ kg) / (6,371 km)²

Surface gravity of Earth = 9.81 m/s²  

This means that the force of gravity on Earth's surface is 9.81 m/s² .

For planet X, the mass is twice that of Earth, or approximately 1.19 x 10²⁵ kg, and the radius is also twice that of Earth, or approximately 12,742 km.

Plugging in these values, we get:

Surface gravity of planet X = (6.67 x 10⁻¹¹ N(m²/kg² )) (1.19 x 10²⁵ kg) / (12,742 km)²  

Surface gravity of planet X = 25.8 m/s²  

Therefore, compared to the surface gravity of Earth, the surface gravity on planet X is approximately 2.63 times greater. This means that objects on planet X would feel much heavier than they would on Earth.

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The scientist that described an atom made a solid positively charged substance with electrons dispersed throughout it was: Ernest Rutherford.

In 1911 Ernest Rutherford proposed his atomic model in which he considered the atom as a positively, densely charged center called a nucleus in which the electrons circulate around the core with a negative charge.

He was responsible for many discoveries in the radioactivity's  fields and nuclear physics.

The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.

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In order to calculate the direction of the vector, first let's draw its components:

since the horizontal component is positive and the vertical component is negative, the vector is pointing to the 4th quadrant.

To calculate the angle, we can use the arc tangent as follows:

Rounding to nearest tenth, the direction is -26.6°.

Answer:7,500J

Explanation:

Work done=force× distance

The pοssible wavelengths οf phοtοns emitted frοm the n=4 state οf a hydrοgen atοm are apprοximately:

Tο determine the pοssible wavelengths οf phοtοns emitted frοm the n=4 state οf a hydrοgen atοm, we can use the fοrmula fοr the calculatiοn οf the wavelength οf a phοtοn emitted during a transitiοn between twο energy levels in the hydrοgen atοm:

1/λ = R_H *\((1/n_f^2 - 1/n_i^2)\)

where:

λ is the wavelength οf the emitted phοtοn

R_H is the Rydberg cοnstant (apprοximately 1.097 × \(10^7 m^-1\))

n_f is the final energy level

n_i is the initial energy level

We can calculate the wavelengths fοr the fοllοwing transitiοns:

Transitiοn frοm n=4 tο n=1:

n_f = 1

n_i = 4

1/λ = 1.097 × \(10^7 m^-1 * (1/1^2 - 1/4^2\))

1/λ = 1.097 × \(10^7 m^{-1} * (1 - 1/16)\)

1/λ = 1.097 × \(10^7 m^{-1} * (15/16)\)

1/λ = 1.025 ×  \(10^7 m^{-1\)

λ = 1/(1.025 × \(10^7 m^{-1\)1)

λ ≈ 9.76 × \(10^-8\) m

λ ≈ 97.6 nm

Transitiοn frοm n=4 tο n=2:

n_f = 2

n_i = 4

1/λ = 1.097 × \(10^7 m^{-1} * (1/2^2 - 1/4^2)\)

1/λ = 1.097 × \(10^7 m^{-1 } * (1/2^2 - 1/4^2)\)

1/λ = 1.097 ×  \(10^7 m^{-1} * (3/16)\)

1/λ = 3.285 × \(10^6 m^{-1\)

λ = 1/(3.285 ×\(10^6 m^{-1\))

λ ≈ 3.04 × \(10^-7\) m

λ ≈ 304 nm

Transitiοn frοm n=4 tο n=3:

n_f = 3

n_i = 4

1/λ = 1.097 × \(10^7 m^{-1} * (1/3^2 - 1/4^2\))

1/λ = 1.097 ×\(10^7 m^{-1\)* (1/9 - 1/16)

1/λ = 1.097 × \(10^7 m^{-1\) * (7/144)

1/λ = 5.039 × \(10^5 m^{-1\)

λ = 1/(5.039 × \(10^5 m^{-1\))

λ ≈ 1.98 × \(10^{-6 m\)

λ ≈ 1980 nm

Therefοre, the pοssible wavelengths οf phοtοns emitted frοm the n=4 state οf a hydrοgen atοm are apprοximately:

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Answer:

more than food. They’re complex mental health conditions that often require the intervention of medical and psychological experts to alter their course.

These disorders are described in the American Psychiatric Association’s Diagnostic and Statistical Manual of Mental Disorders, fifth edition (DSM-5).

In the United States alone, an estimated 20 million women and 10 million men have or have had an eating disorder at some point in their life (1).

This article describes 6 of the most common types of eating disorders and their symptoms.

Answer: Anorexia Nervosa

Explanation:

Answer:

Capacitor

Explanation:

Capacitor ; A capacitor is a passive two-terminal electrical component that can store energy in an electric field electrostatically. It works as a small rechargeable battery that stores electricity. However, unlike a battery, it can charge and discharge in the split of a second. Capacitors are widely used to build different types of electronic circuits.

Since both wires are made of the same metal, their resistivities are the same (ρ1 = ρ2). Thus, the ratio of their resistivities is:

ρ2/ρ1 = ρ1/ρ1 = 1

The ratio of the resistivities of the two wires is 1.

Since both wires are made of the same metal, their resistivities are the same. The resistivity of a material is a fundamental property that depends only on the type of material and its temperature, but not on the shape or size of the material.

Therefore, the ratio of the resistivities of the two wires is indeed 1, or equivalently, the resistivities of the two wires are equal. This means that the wires have the same inherent resistance per unit length and cross-sectional area, regardless of their lengths or shapes.

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A small rocket is propelled forward by expelling gas at a rate of 3.63 kg/s and the magnitude of the thrust force of the rocket is 198.198 N.

In order to find the magnitude of the thrust force of a small rocket that is propelled forward by expelling gas at a rate of 3.63 kg/s and an exhaust speed of 54.6 m/s, we can use the formula for thrust force:

Thrust force = mass flow rate x exhaust velocity

Thrust force = 3.63 kg/s x 54.6 m/s

Thrust force = 198.198 N

Therefore, the magnitude of the thrust force of the rocket is 198.198 N.

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Answer:

Explanation:

Answer:

\(25\%\) of the wavelength is between resonances in a closed end tube.

Explanation:

In an one end closed tube, the fundamental resonance occurs when a node is created at the closed end and an antinode is created in the open end.

Thus, for fundamental resonance, the entire length of the tube encloses one-fourth of the wavelength of the standing wave.

The formula to calculate the percentage of the wavelength in a closed end tube is given by

\(f=\frac{L}{\lambda}\times100\%........................(1)\)

Here, \(f\) is the required percentage, \(L\) is the length of the tube and \(\lambda\) is the wavelength of the standing wave.

Substitute \(\frac{\lambda}{4}\) for \(L\) into equation (1) o calculate the required percentage.

\(f=\dfrac{\frac{\lambda}{4}}{\lambda}\times100\%\\~~~=25\%\)

Given what we know about the speed of light, we can confirm that a single ray of light would take 1.3 seconds to travel from the Moon to the Earth.

Therefore, since the Moon sits at a distance of 390 million meters from the Earth, and the fact that light travels at approximately 300 million meters per second, we can confirm that light from the moon takes roughly 1.3 seconds to reach Earth.

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Answer:

1) C. 2.5 x 10⁴ Pa

2) C. 75 cm³

Explanation:

Question 1.

Given the following data;

To find the final pressure, P2, we would use Boyle's law;

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

PV = K

P1V1 = P2V2

Making P2 the subject of formula, we have;

P2 = (P1V1)/V2

Substituting into the formula, we have;

P2 = (1 * 10⁵ * 5)/20

P2 = (500,000)/20

Final pressure, P2 = 25,000 Pa or 2.5 x 10⁴ Pa.

Question 2.

Given the following data;

To find the final volume, we would use Boyle's law;

Mathematically, Boyles law is given by;

PV = K

P1V1 = P2V2

Making V2 the subject of formula, we have;

V2 = (P1V1)/P2

Substituting into the formula, we have;

V2 = (190 * 30)/76

V2 = 5700/76

Final volume, V2 = 75 cm³

The levels of body organization, from cells to tissues, organs, organ systems, and the whole organism, work collaboratively to support bodily functions, allowing the body to carry out essential processes such as metabolism, movement, and communication.

The human body is organized into different levels, each contributing to the overall function and maintenance of the body. These levels of organization work together in a coordinated manner to ensure the proper functioning of the body. At the cellular level, cells are the basic structural and functional units of the body. Different types of cells perform specific functions and work together within tissues. Tissues, such as muscle, nerve, or connective tissue, are formed by groups of specialized cells that collaborate to carry out specific functions. Tissues combine to form organs, which are distinct structures with specific functions. Organs, such as the heart, lungs, and liver, are made up of different tissues working together to perform complex tasks. Organs further integrate to form organ systems. For instance, the circulatory system comprises the heart, blood vessels, and blood, working together to transport nutrients and oxygen throughout the body. Organ systems, like the respiratory, digestive, and nervous systems, coordinate their activities to maintain homeostasis and ensure the body's overall function. Lastly, all the organ systems collectively form the organism, the complete individual capable of carrying out various activities, responding to stimuli, and maintaining internal balance.

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