What method has detected the most extrasolar planets so far?.

To explain the tangent plane to the surface, `z = 53 − x² − 2y²` at the point `(3, 2, 6)`, let us first determine the partial derivatives of `z` with respect to `x` and `y`.

Partial derivative of `z` with respect to `x`, `∂z/∂x = -2x`Partial derivative of `z` with respect to `y`, `∂z/∂y = -4y`Now, let's find the gradient vector `grad z` at `(3, 2, 6)` and the value of `z` at `(3, 2)`.gradient vector `grad z = (-2x, -4y, 1)`gradient vector `grad z = (-6, -8, 1)` at `(3, 2, 6)`.Value of `z` at `(3, 2)` is given by `z = 53 - 3² - 2(2)² = 39`.

Therefore, the equation of the tangent plane to the surface `

z = 53 − x² − 2y²` at `(3, 2, 6)` is:

`z - 6 = -6(x - 3) - 8(y - 2)`

which can be written as:`6x + 8y + z = 50`Thus, the equation of the tangent plane to the surface `z = 53 − x² − 2y²` at the point `(3, 2, 6)` is `6x + 8y + z = 50`.

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Biological fluid mechanics is a rapidly growing field of study that uses the principles of fluid mechanics to understand the behavior of fluids in biological systems. This includes the study of blood flow, mucus transport, and the swimming of microorganisms.

The field is essential for understanding the functioning of many biological systems and has led to new insights into the behavior of living organisms.

Biological fluid mechanics is a multidisciplinary field that draws on the expertise of engineers, physicists, biologists, and mathematicians.

As the field continues to develop, we can expect to see new applications in fields such as medicine, environmental science, and robotics.

Here are some of the specific applications of biological fluid mechanics:

Medicine: Biofluid mechanics can be used to design new medical devices, such as artificial heart valves and catheters.

Environmental science: Biofluid mechanics can be used to understand the transport of pollutants in water and air.

Robotics: Biofluid mechanics can be used to design robots that can swim or fly like animals.

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Answer:

Held

~Hope it Helps!~

Answer:

1500 per second.

Explanation:

vibrations = 1.5 kilohertz

1.5×1000=1500

the answer is 1500 per second.

Answer: The answer is 1500 per second.

Explanation: Each vibration consist 1.5 kilohertz, so I multiply 1000 and the number of the kilohertz that looks like this, 1.5*1000=1500 per second, I hoped my answer is very helpful to your own physics question and have a Happy Halloween! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of the TDSB and WHCI Student of the high school.

The maximum height reached by the brick above the ground is 20 ft. The time taken by the brick to reach the ground is 0 seconds. Free-fall motion (uniformly accelerated motion) after falling from a height of 20 feet. Further, the acceleration experienced by the free brick is equal to the acceleration due to gravity which is approximately 32ft/sec², downward.

Hence, we can write its acceleration as, a = g = 32ft/sec².

Here, u = 0 as the brick was not moving initially while it was at rest on the top of the load of bricks.

Now, the value of v(t) can be obtained by integrating the above expression w.r.t. time as shown below:v(t) = u + a.t = 0 + 32t = 32t ...(1)

The value of x(t) can be obtained by integrating the expression for v(t) w.r.t. time, i.e. t as shown below :x(t) = (1/2).a.t² + u.t + x₀ = (1/2).32t² + 0 + 20ft = 16t² + 20ft ...(2)

Here, x₀ = 20ft is the initial displacement of the brick above the ground.

Now, we can answer the questions as follows:

(a) Using  the following relation: v = u + a.t = 0 when the brick is at its highest point.

Hence, the time taken to reach this point can be obtained as follows:0 = u + a.t ⇒ t = (-u/a) = (0/32) sec = 0 secThis means that the brick reaches its maximum height at t = 0 sec, which is the initial moment.

Thus, the maximum height reached by the brick above the ground is, x(0) = 16.0² + 20 = 20 ft

(b) The time taken by the brick to reach the ground can be obtained by using the following relation: x(t) = 0.

Here, we are interested in finding the value of t.

Hence, we can substitute x(t) from equation (2) above and equate it to 0 to obtain the value of t as shown below:16t² + 20 = 0 ⇒ t² = -(20/16) sec².

This means that the brick doesn't take any finite time to reach the ground from its maximum height.

This is because it falls vertically downwards from a height of 20 ft under the action of gravity.

Thus, it reaches the ground at t = 0 sec only.

(c) The speed of the brick just before it hits the ground can be obtained by using the expression for v(t) from equation (1) above and substituting t = 0 sec (just before it hits the ground) as shown below:

v(0) = 32(0) = 0 ft/sec.

Hence, the speed of the brick just before it hits the ground is 0 ft/sec.

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Answer:

Positive

when a negatively charged rod is bring near uncharged spherical conductor it attracts positive charge and repels negative charges

so In left side all positive charges appears and in right side all negetive

Types of methods of charging

Answer:

3.33 m/s west

Explanation:

East is the positive direction.

400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v

-4000kgm/s=1200kg*v

v=-3.33

400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.

Collision, which is also known as impact, is the abrupt, powerful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when linked, or a falling object and a floor.

Two factors—the force and the amount of time the items are in contact—affect the outcome of impact in addition to the characteristics of the two objects' materials.

A hard steel ball dropped on a steel plate will typically rebound to almost the same location from whence it was dropped, while a putty or lead ball would not.

Therefore, 400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.

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It swings back and forth. The given information includes the mass of the sphere \((1.5×10^−2 kg)\) and its radius \((4.5×10^−2 m).\)

When the holiday ornament is displaced from its equilibrium position and released, it behaves as a physical pendulum. The motion of a physical pendulum depends on its mass distribution and moment of inertia. In this case, the mass is concentrated on the surface of the hollow sphere.

The moment of inertia of a hollow sphere can be calculated as I = \(2/3 * m * r^2\), where m is the mass of the sphere and r is its radius. Plugging in the given values, we have I = \(2/3 * (1.5×10^−2 kg) * (4.5×10^−2 m)^2.\)

Once the moment of inertia is determined, the period of oscillation for a physical pendulum can be calculated using the formula T = 2π * √(I/mgd), where T is the period, g is the acceleration due to gravity, and d is the distance from the point of suspension to the center of mass.

By substituting the values into the formula, the period of oscillation for the holiday ornament can be determined.

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Cylinders that contain a corrosive refrigerant must be inspected every

5 years.

What are Refrigerants?

Refrigerants are used for refrigeration.

Refrigerants are a cooling agent that often appears in liquid form. It works via vapor compression to carry heat through the cold to be put back into the atmosphere at a friendlier temperature.

This actually works against the second law of thermodynamics by absorbing heat and spitting back out the cold air you feel in front of the vent of your HVAC system.

This is done by converting the refrigerant repeatedly between two phases: low-pressure gas to a high-pressure liquid.

Once the refrigerant has transformed the hot air and accepted the hot temperatures, it cools back down and returns to its original form as a low-pressure gas.

This process can be completed with multiple different types of refrigerants, but as you may have guessed, chemicals that can reverse the laws of thermodynamics are hardly ever safe for the average person to touch.

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The mass of the car is calculated as 1021.86 kg. We can calculate the mass of the car by using the formula: mass = Force / acceleration

Given information: Acceleration of the car = 1.83 m/s²

Force acting on the car = 1870 N

We know that Force = mass × acceleration

According to the question, we need to find the mass of the car. We can calculate the mass of the car by using the formula: mass = Force / acceleration

Putting the values in the above equation, we get mass = 1870 N / 1.83 m/s²

So, the mass of the car is: mass = 1021.86 kg

Therefore, the mass of the car is 1021.86 kg.

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Total 2.54 cm far below the interface between the two liquids is the bottom of the block.

Oil having a density of floats on water = 930 kg/m^3

A rectangular block of wood height = 4.19 cm

A rectangular block of wood having density of floats partly in the oil and partly in the water = 979 kg/m3

We have determine how far below the interface between the two liquids is the bottom of the block.

For the equilibrium:

ρ(wood)gh - ρ(oil)g(h−x) - ρ(water)gx = 0

ρ(wood)h - ρ(oil)(h−x) - ρ(water)x = 0

(974)(3.97) - 928(3.97−x)−1000x = 0

3866.78 - 3684.16 + 928x - 1000x = 0

Simplify

182.62 - 72x = 0

Add 72x on both side we get

72x = 182.62

Divide by 72 on both side, we get

x = 2.54 cm

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The complete question is:

Oil having a density of 930 kg/m^3 floats on water. A rectangular block of wood 4.19 cm high and with a density of 979 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?

Answer:

32,000J

Explanation:

Workdone=Force x distance

=800 x 40

=32,000J

Answer:

Explanation:

How did media attention affect Barack Obama's presidential performance?(A)(B)(C)(D)He made a concerted effort to listen to Congress' concerns about his policies.He decided to go on Fox News in an attempt to win over Republican voters.He started traveling the country to give speeches about his policy goals.He began meeting in private with Speaker of the House Nancy Pelosi.

Two athletes are competing in upcoming competitions, a weightlifting meet and a marathon. phosphagen and oxidative energy systems will each be primarily used, respectively.

As it is in charge of high-intensity, brief-duration activity, the phosphagen energy systems generate energy for jumping and sprinting. The quickest and most effective energy producer in muscle activity. Phosphagen metabolism is demonstrated by this system. It uses creatine phosphate to produce ATP (adenosine triphosphate, the chemical which provides energy for all body processes).

Energy is produced by the oxidative energy systems using 30% and 70% of carbs and lipids, respectively. When done for at least 150 minutes a week, aerobic exercise enables the body to experience physiological and health benefits.

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The third trial of the lab experiment did not work out because in most probability the magnets lost their magnetic properties or got demagnetized.

Demagnetization is the phenomenon by which magnets lose their magnetic property or are weakened. We see that the magnets moved just a little after she left them after the first two trials of her experiment. It is possible that because the magnets moved a little they repelled each other and this only happens when like poles face each other.

The demagnetizing field of one magnet will affect the other and vice versa because their magnetic fields are opposite in direction. Consequently, magnetic field strength weakens gradually. Thus the magnets did not work after the 3rd trial.

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Answer:

200 N to the right

Explanation:

The energy to the position is known as potential energy. The maximum potential energy is in case 2. Hence the maximum height will be in case 2.

The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.

According to the law of conservation of energy, the total energy is defined as the sum of kinetic energy and potential energy.

Mechanical energy = kinetic energy+potential energy

Potential Energy = Mechanical Energy - Kinetic Energy

As a result, if an object has greater potential energy, it will have a higher height.

The formula for the kinetic energy is given by;

The potential energy for the different cases will be;

Case-1;

\(\rm KE_1=\frac{1}{2}mv^2 \\\\ \rm KE_1=\frac{1}{2}\times2.4(7)^2 \\\\ \rm KE_1=58.8 J\)

\(\rm PE_1 = 32 - 58.8 = -26.8 J\)

Case-2;

\(\rm KE_2=\frac{1}{2}mv^2 \\\\ \rm KE_2=\frac{1}{2}\times2.4(2)^2 \\\\ \rm KE_2=4.8 J\)

\(\rm PE_2 = 34 - 4.8 = 29.2 J\)

Case-3;

\(\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(6)^2 \\\\ \rm KE_2=43.2 J\)

\(\rm PE = 35 - 43.2 = -8.2 J\)

Case-4;

\(\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(3)^2 \\\\ \rm KE_2=10.8 J\)

\(\rm PE_2 = 31 - 10.8 = 20.2 J\)

The maximum potential energy is in case 2. Hence the maximum height will be in case 2.

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Answer:
B:

the SECOND trial

Explanation:

Option C. The buoyant force will be greater than the gravitational force, causing the object to rise.

When an object is submerged in a fluid and is being pushed back up to the surface, there are several forces acting on it. These forces are:

Buoyant force: This force is the upward force exerted by the fluid on the object. It is equal to the weight of the fluid displaced by the object and is directed opposite to the gravitational force.

Gravitational force: This force is the downward force exerted on the object due to gravity. It is equal to the weight of the object and is directed towards the center of the earth.

Drag force: This force is the resistance that the fluid exerts on the object as it moves through it. It is directed opposite to the velocity of the object and is proportional to the velocity squared.

Surface tension: This force is the cohesive force that exists between the molecules on the surface of the fluid. It acts perpendicular to any line tangent to the surface of the fluid and is dependent on the properties of the fluid and the object's surface.

In the case of an object being pushed back up to the surface of the fluid, the buoyant force will be greater than the gravitational force, causing the object to rise. The drag force and surface tension may also play a role in the motion of the object, but their effects will depend on the specific conditions of the fluid and the object.

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Answer:

Thrust acts on the accelerated object in the direction opposite to the applied force hence it accelerates the object in the direction opposite to the applied force. ... Its magnitude is equal to that of applied force. It always increases the velocity of the object.

Explanation:

The speed of the stream when the distance and time taken to travel are given is calculated to be 1.41 km/h.

A boat takes 3.4 hrs to travel 30 km.

It takes 5 hrs to return through same distance.

The speed of the boat during the downstream is, v + u = D/t

where,

v is the speed of the boat

u is the speed of the stream

D is the total distance

t is the time

v + u = 30/3.4 = 8.82 km/h

v = (8.82 - u) km/h

The speed of the boat upstream is given as, v - u = D/t

Substituting the values into the above equation,

v - u = D/t

(8.82 - u) - u = 30/5

8.82 - 2 u = 6

2 u = 8.82 - 6

2 u = 2.82

u = 1.41 km/h

Thus, the speed of the stream is calculated to be 1.41 km/h.

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Explanation:

The average speed of a modern cruise ship is roughly 20 knots (23 miles per hour), with maximum speeds reaching about 30 knots (34.5 miles per hour).

The inductance required for an oscillator to generate 490 nm electromagnetic waves is 2.66 * 10⁻⁹ H.

An electromagnetic wave is an oscillating wave of electric and magnetic energy, travelling through space at the speed of light. It is a form of energy that is created when electric and magnetic fields vibrate in unison. Electromagnetic waves are made up of oscillating electric and magnetic fields that travel through the air and other materials.

The inductance required for an oscillator to generate 490 nm electromagnetic waves depends on the type of oscillator being used. The equation for calculating the required inductance is L = 1 / (2 * π * f * C), where L is inductance, f is frequency,
and C is capacitance.
In this case, the frequency would be f = c / λ,
where c is the speed of light and λ is the wavelength (490 nm).
Plugging in the values, we get L = 1 / (2 * π * (3 * 10⁸ / 490 * 10⁻⁹) * 19 * 10⁻¹²) = 2.66 * 10⁻⁹ H.
So, the inductance required for an oscillator to generate 490 nm electromagnetic waves is 2.66 * 10⁻⁹ H.

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A free body diagram is a diagram that shows the direction of the forces that are acting on a body.

A free body diagram is a diagram that shows the direction of the forces that are acting on a body. We know that force is a vector quantity. This implies that the magnitude and the direction of a force are equally important when we are dealing with the forces.

Now, in a thug of war, there are two forces that are acting on the rope. The forces acts from the opposite ends in which the rope is being pulled. The rope would move in the direction in which the pulling that is exerted is found to be of greater magnitude.

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The acceleration due to gravity on the new planet is 1.59 m/s², the acceleration due to gravity on a planet is calculated using the following formula g = G * M / R²

where:

In this case, we have:

M = 1.300 x 10^22 kg

R = 738.400 mi = 1,190,885 km

We need to convert the radius from miles to kilometers, so we use the following conversion factor:

1 mi = 1.609 km

This gives us a radius of:

R = 738.400 mi * 1.609 km/mi = 1,190,885 km

Now we can plug all of the values into the formula to calculate the acceleration due to gravity:

g = 6.674x10^-11 N·m²/kg² * 1.300 x 10^22 kg / (1,190,885 km)²

g = 1.59 m/s²

Therefore, the acceleration due to gravity on the new planet is 1.59 m/s².

This means that if you drop an object on the surface of the planet, it will accelerate towards the center of the planet at a rate of 1.59 meters per second squared.

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The ball will reach a height of 1.17 meters before slowing down to Vi = 2.4 m/s

First, we can use the equation for the final velocity of an object under constant acceleration:

v_f^2 = v_i^2 + 2ah

When the ball is thrown upwards, it experiences a constant downward acceleration due to gravity, so we can take a = -9.8 m/s^2.

At the maximum height, the final velocity of the ball will be zero, so we can set v_f = 0 and solve for h:

0 = (4.8 m/s)^2 + 2(-9.8 m/s^2)h

h = [(4.8 m/s)^2]/[2(9.8 m/s^2)] = 1.17 m

So the ball reaches a maximum height of 1.17 meters.

Next, we can use the same equation with v_i = 2.4 m/s and v_f = 0 to find the height where the ball reaches a velocity of 2.4 m/s on its way down:

0 = (2.4 m/s)^2 + 2(-9.8 m/s^2)h

h = [(2.4 m/s)^2]/[2(9.8 m/s^2)] = 0.29 m

Therefore, the ball reaches a maximum height of 1.17 meters and then falls to a height of 0.29 meters before reaching a velocity of 2.4 m/s.

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Answer:a

Explanation:because I know

Answer:

B & C

Explanation:

the first block will not move

The one associated with the expansion of the universe is called cosmological redshift.

Cosmological redshift is the increase in the wavelength of photons as they travel through space due to the expansion of the universe. This redshift occurs as the universe expands, causing the galaxies and other celestial objects to move away from each other.

The term redshift refers to the fact that as light moves away from us, its wavelength becomes longer, and it appears redder. The amount of redshift observed for distant galaxies is directly proportional to their distance from us and is due to the expansion of the universe.

Cosmological redshift is caused by the expansion of the universe and is one of the most important discoveries of modern cosmology. It provides evidence that the universe is expanding and has been doing so for billions of years.

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We have that the  initial velocity   is mathematically given as

V1=86.4m/s

Question Parameters:

Generally the equation for the Conservation of momentum   is mathematically given as

M1V1=M2V2

Therefore

0.05*V1=1.2*3.6

V1=(1.2*3.6)/0.05

V1=86.4m/s

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Answer: C

Explanation:

The kinetic energy of the wind turns the turbine which creates kinetic energy of it's own, this rotational kinetic energy can be called mechanical energy and is used to create electricity

The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.

In Hubble's classification system, the type of galaxy that has a small bulge and a loose, widely spread, and poorly defined spiral pattern is classified as a "Scd" galaxy.

Hubble's classification scheme categorizes galaxies into different types based on their visual appearance, particularly the structure of their spiral arms, the size of their central bulge, and the overall shape of the galaxy. The scheme ranges from elliptical galaxies (labeled E) to spiral galaxies (labeled S), with further subdivisions denoted by additional letters and numbers.

Within the spiral galaxy category, the classification progresses from tightly wound and well-defined spiral arms (Sa type) to intermediate spiral arms (Sb type) and finally to loosely wound and poorly defined spiral arms (Sc type). The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.

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