If a football player does 39000 J of work, how much power does the football player exert in 5 minutes

Answers

Answer 1

Answer:

Power = 130 watt

Explanation:

Power is described as the ability to do work, it is also defined as the amount of work in Joules done in a given time in seconds. Mathematically, it is represented as:

\(power = \frac{work (J)}{Time (s)}\)

In this example, power is calculated as follows:

Work = 39000 J

Time = 5 minutes

converting the time from minutes to seconds:

1 minute = 60 seconds

∴ 5 minutes = 60 × 5 = 300 seconds

\(\therefore power = \frac{39000}{300} \\power = 130 watt\)

N:B the unit for power can also be represented as Joules/seconds or J/s or JS⁻¹


Related Questions

colder average temperatures and longer nights in edmonton and calgary lead to high energy usage to heat and light homes. T/F

Answers

True, colder average temperatures and longer nights in Edmonton and Calgary lead to high energy usage to heat and light homes.

In Edmonton and Calgary, colder average temperatures and longer nights are characteristic of their climate. During the winter months, temperatures drop significantly, often reaching below freezing levels, and the duration of daylight is reduced due to shorter days and longer nights.

These weather conditions necessitate increased energy usage for heating and lighting homes. As the temperatures drop, residents rely on heating systems to maintain a comfortable indoor temperature, leading to higher energy consumption. This includes the use of furnaces, heaters, and other heating devices.

Moreover, the longer nights in these cities result in a greater need for artificial lighting Latitude. With fewer daylight hours available, residents must rely on electric lighting for a more extended period, contributing to increased energy usage.

Overall, the combination of colder temperatures and longer nights in Edmonton and Calgary creates a higher demand for energy to heat and light homes, making the statement true.

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a model rocket engine applies 1500 j of work launching a 0.80 kg model rocket straight up from rest over the first 35 meters of the flight how fast is it going when the engine cuts out?

Answers

When the engine cuts out, the model rocket is going approximately 61.24 m/s.

To find out how fast the 0.80 kg model rocket is going when the engine cuts out after applying 1500 J of work over the first 35 meters of flight, we need to use the following terms: work, energy, mass, and velocity.

Step 1: Calculate the kinetic energy
Since the engine applies 1500 J of work, and the work-energy theorem states that work equals the change in kinetic energy, we have:
Kinetic Energy = Work
Kinetic Energy = 1500 J

Step 2: Use the kinetic energy formula
The formula for kinetic energy is KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass, and v is the velocity. In this case, m = 0.80 kg and KE = 1500 J. We need to find the velocity (v).

Step 3: Rearrange the formula to solve for velocity
First, divide both sides by 0.5 * m to isolate v^2:
v^2 = KE / (0.5 * m)
v^2 = 1500 J / (0.5 * 0.80 kg)

Now, calculate the value of v^2:
v^2 = 3750

Step 4: Find the velocity
Take the square root of both sides to find the velocity:
v = √3750
v ≈ 61.24 m/s

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Two aluminum balls are 5 cm apart. One is
negatively charged, and the other is
positively charged. A small magnet is placed
between the two balls but is not touching
either of them. The aluminum balls remain
stationary. Which statement describes the
electric and magnetic fields?

Answers

Each ball has an electric field surrounding it, and the magnet creates a magnetic field as well.

What is an example of an electric field?

The area of space surrounding an electrical charges particle or object within which the charged body perceives force is known as the electric field .Examples: -Electric fields are created by charges and their configurations, such as capacitor and battery cells.

In basic terms, what is an electric field?

Each location in space at which a charge exists in any form can be regarded to have an electric field attached to it. The electrostatic force per mass unit is another name for an electric field. The electric field's equation is stated as E = F / Q.

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What do nuclear fission and nuclear fusion have in common?
A. They start with the same reactants.
B. They're both used in power plants.
C. Their products have more mass than their reactants.
D. Their products have less mass than their reactants.

Answers

Answer:

B

Explanation:

Fission and Fission are nuclear reaction processes that releases energy.

Fission is the process where the nuclei of an atom splits into smaller nuclei of same element or elements of smaller nuclei when Fussion is when two smaller nuclei combined to form one of a different element of a higher nuclei. These processes release energy.

Answer:

D. Their products have less mass than their reactants.

Explanation:

Dakota moves a magnetic toy train toward a magnet that cannot move. What happens to the potential energy in the system of magnets during the movement?.

Answers

The Energy increases.

Explanation:
If the train moved against the magnetic force, the potential energy would increase.

a substance has a mass of 15g and a volume of 5cm3 calculate the density

Answers

use the equation M=DV
15=5D
D=3

Answer:

3g/cm3

Explanation:

Mass divided by volume = density.

15g / 5cm cubed = 3g/cm cubed

If you toss a ball straight upward at 40 m/s with no air resistance, what will be its speed 7 seconds later?

Answers

The speed of the ball seven seconds later is 28.6 m/s.

What is the speed of the ball?

We have the following information;

initial velocity of the ball = 40 m/s

time taken = 7 seconds

Acceleration of the ball = 9.8 m/s^2

Now;

v = u - gt (the ball is moving upwards)

v = 40 - (9.8 * 7)

v = 28.6 m/s

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What is the direction of the magnetic field at the center of this coil produced by the current in the loops?

Answers

The magnetic field here is perpendicular to the coil's surface from outward to inward because the magnetic field's direction is from south pole to north pole inside the coil.

What is a Magnetic field ?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.

B and H are used to denote the magnetic field. The SI units for B and H are respectively Newtons per metre per ampere and Teslas.

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10. What are the only types of passes allowed in floor hockey?​

Answers

Answer:

the push pass and the wrist shot i believe

Explanation:

Answer:

Your ans

Explanation:

For floor hockey

10. What are the only types of passes allowed in floor hockey?

which would have the greatest effect on apparently reducing the speed of the geese from Diane’s perspective ?

which would have the greatest effect on apparently reducing the speed of the geese from Dianes perspective

Answers

Diana is paddling upstream.

Geese are moving downstream.

Apparent speed reduction of geese will happen according to Diana if her speed is increased.

This can be done by paddling faster upstream.

What is a cycle in nature that is a convection current?

Answers

The two largest natural cycles where convection currents occur are :

the movement of air in the atmosphere and

the movement of magma in the earth's mantle.

Answer:

The two largest natural cycles where convection currents occur are the movement of air in the atmosphere and the movement of magma in the earth's mantle.

Explanation:

The planar frame carries loadings as shown. Determine the reactions at supports A and E and draw the axial force, shear force and bending moment diagrams for the frame. Show the magnitude of all peak values.

Answers

To determine the reaction at supports A and E and draw the axial force, shear force, and planar frame, the given loadings need to be analyzed. The variations in axial force and bending moment along the length of frame, highlighting the peak values.

To find the reaction at supports A and E, the equilibrium conditions of the frame need to be satisfied by considering the applied loads. Once the reactions are determined, the axial force, shear force, and bending moment diagrams can be constructed.

The axial force diagram shows the variation of axial forces along the length of the frame. Positive values indicate tension, while negative values indicate compression. The shear force diagram displays the variations in shear forces, with positive values indicating upward forces and negative values indicating downward forces. The bending moment diagram illustrates the changes in bending moments along the frame, with positive values indicating sagging moments and negative values indicating hogging moments.

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8. Give the net force for the following:
10 N
30 N
3N
3N
2N →
4N->
Js
SN

Answers

Answer:

i think it's is 30N

Explanation:

i got it right

A research historian is interested in finding a sunken treasure in the Atlantic Ocean. She knows that her equipment is only good enough to recover items that are at a depth of 5 000 m or less. The speed of sound through the water is 1 530 m/s. While working, the sonar equipment detects a reflection that is of interest. The echo from the item takes 6.2 s to return to the sonar detector. Will she be able to retrieve this item?

Answers

Yes, she will be able to retrieve the item

An echo is the repetition of sound formed due to the reflection of the sound wave.

From the question, we are given the following;

Speed of sound through water v = 530m/s

The time it takes the echo to reach the sonar detector t = 6.2s

First, we need to know how far the echo can travel using the formula;

2x = vt

x is the distance from the source of the sound to the reflector

v is the speed of sound

t is the time

Substituting the given values into the formula:

\(x=\frac{vt}{2}\\x=\frac{530*6.2}{2} \\x=530*3.1\\x= 1643m\)

Since the research historian knows that her equipment is only good enough to recover items that are at a depth of 5 000 m or less and 1643m is less than 5000m, hence she will be able to retrieve the item.

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The research historian can retrieve the item.

Sound is a form of mechanical waves, which is a kind of waves that needs a medium to propagate itself and whose kinematic is representative of motion at constant speed. The maximum echo time (\(t_{e}\)), in seconds, is the distance travelled by waves (\(s\)), in meters, divided by velocity of sound through the medium (\(v_{s}\)), in meters per second:

\(t_{e} = \frac{s}{v_{s}}\) (1)

Please notice that distance travelled by sound is twice the depth of the sunken object.

If we know that \(s = 10000\,m\) and \(v_{s} = 1530\,\frac{m}{s}\), then the maximum echo time is:

\(t_{e} = \frac{10000\,m}{1530\,\frac{m}{s} }\)

\(t_{e} = 6.535\,s\)

Any sunken object whose echo time is less than 6.535 seconds can be retrieved. As the echo time related to the item was 6.2 seconds, the research historian can be able to retrieve the object.

Describe specifically why a one-time pad is completely unbreakable. What happens if we try and brute-force
something encrypted with a one-time pad?
Encrypt the message "yellowstone" using the key "wolf" using the vignere cipher.

Answers

A one-time pad is a type of encryption that is completely unbreakable if it is done correctly. It works by generating a random key that is at least as long as the message being encrypted. The key is then combined with the message using an XOR operation.

This produces a ciphertext that cannot be decrypted without the key. The key is used only once and then discarded, hence the name "one-time pad". A one-time pad is completely unbreakable because there is no pattern to the key that can be used to decrypt the message. Each character in the key is generated randomly and independently of the other characters. Therefore, the key is completely unpredictable. Even if an attacker knows the key length and has access to the ciphertext, they cannot use any techniques to decrypt it.

This is because there is no pattern to the ciphertext that can be used to determine the key.The only way to decrypt a one-time pad is to have the key. If an attacker tries to brute-force the encryption by trying all possible keys, they will generate every possible message that is the same length as the original message. This means that the ciphertext is completely meaningless without the key. It is therefore important to keep the key secret and ensure that it is only used once. ,Message: yellow stone Key: wolf To encrypt the given message using the vigenere cipher, we follow the steps below:Step 1: Write the message and key in a tabular form as shown below. To keep the process organized, we use the letters of the key to label the columns.

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qua thí nghiệm về đoạn mạch gồm 2 điện trở háy ghi lại kết quả )giúp mik với(

Answers

Answer:

I don't think this is the right question

An object is projected from the ground at an angle of 30o above the horizontal and returns to the ground 8 seconds later. What is the object’s maximum height?

Answers

The object's maximum height during projectile motion is 78.4 m.

We need to know about the projectile motion to solve this problem. The projectile motion is known as parabolic motion and the velocity is divided by 2 axes.

vox = vo cosA

voy = vo sinA

where vox is initial velocity of x axis, voy is initial velocity of y axis, vo is initial velocity and A is the angle.

The total time taken during projectile motion is

t = 2(voy)/g

where t is total time and g is the gravitational acceleration (9.8 m/s²)

The maximum height also can be found using this formula

ymax = voy² / 2g

where ymax is the maximum height

From the question above, the given parameters are

A = 30⁰

t = 8 s

Find the initial velocity of y axis

t = 2(voy)/g

8 = 2 . voy / 9.8

voy = 39.2 m/s

Find the maximum object's height

ymax = voy² / 2g

ymax = 39.2² / 2 . 9.8

ymax = 78.4 m

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if l = load, f = fulcrum, and e = effort, what type of lever system is described as lef?

Answers

This type of system is a third class lever. FEL where fulcrum, effort and load comes in an arrangement.

Lever  is a simple machine in which the fixed arms are arranged at a fixed point known as fulcrum. There are three types of lever system: first class Lever system, second class lever system and third class lever system. In the first class lever system there is an arrangement like the see saw. In this arrangement the fulcrum is in center and both the arms are like a seesaw. In the second class lever system, output force was between input force and fulcrum. In the third class lever system input force is between output force and fulcrum

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500g of water is heated so that is temperature rises from 30°C to 70°C in 7min. Calculate thr heat supplied per min​

Answers

Answer: 11900 J/min (full answer 11948,57 J/min)

Explanation:

1) First we want to find the total energy supplied to the 500g of water

Specific heat is the amount of thermal energy you need to supply to a sample weighing 1 kg to increase its temperature by 1 K.

Formula:

\(c = \frac{Q}{m T}\)

where

c - specific heat capacity (different for each substance) [J/kg K]

Q - Heat energy supplied [J]

m - mass [kg]

T - change in temperature [K]

mass in this question = 500g = 0.5kg

change in temperature = (70 - 30) = 40K (change in Celcius is equal to change in Kelvin)

specific heat capacity of water = 4182 J/kg K (this is just something you can look up in a formula sheet)

now we can rearrange the equation to get Q

\(Q = c*m*T\)

Q = 4182 * 0.5 * 40 = 83640 J  - this is total heat energy supplied

2) Now we can calculate heat supplied per minute

total energy/number of minutes

time (t) = 7 min

Q/t = 83640/7 = 11948,57 J/min = 11900 J/min (3sf)

Three dogs are fighting over a bone. One is pulling to the left with a force of 20N, another
to the right with a force of 35N and the third upward with a force of 15N. What is the net
force on the bone? This is a multiple-select problem: You must select a magnitude for the
force and an angle for the force.

Answers

Answer:

Net force = 21.12 N

angle for the force α = 45°

Explanation:

In this problem, we will take the left as the negative x-axis, the right as the positive x-axis, and the upward direction as the positive y-axis.

The 20 N force to the left has an x component of -20 N, and y component of 0 N

The 35 N force to the right has a x component of 35 N, and a y component of 0 N

The 15 N upwards has an x component of 0 N, and a y component of 15 N

We resolve the forces into the x and y components.

for the x component Fx

Fx = -20 + 35 + 0 = 15 N

For the y component Fy

Fy = 0 + 0 + 15 = 15 N

Net force Fn = \(\sqrt{Fx^{2} + Fy^{2} }\)

\(Fn = \sqrt{(15)^{2} + (15^{2} ) }\)

Net force Fn = 21.21 N

for the angle,

\(tan\alpha = \frac{Fy}{Fx} = \frac{15}{15}\)

\(tan\alpha = 1\)

α = \(tan^{-1}\) 1

angle for force α = 45°

Decide whether the following statement is True or False. For noncrystalline ceramics, plastic deformation occurs by the motion of dislocations.

Answers

Non-crystalline ceramics deform by viscous flow instead of dislocation motion, True

Ceramics are inorganic compounds. They can be non-metallic or solid materials that can be comprised of metals, non-metal or atoms. Ceramics are known are hard and strong in compression but weak in tension and shearing, these materials are also known for their brittle properties.

Ceramics exits in two major types, these are: crystalline ceramics and non-crystalline ceramics. Crystalline ceramics are those that can easily be shaped to situ, formed with powders and sintered to form a solid body.

On the other hand non-crystalline ceramics are more of glass and formed through melting. They have no regular crystalline structure, and also have no slip or dislocations in them

Non-crystalline ceramics when deforming, they allow ions to slide past each other, hence deforms by breaking and reforming bonds. A condition known as viscous flow.

Thus, the statement given is True, option a is correct.

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A study of classical waves tells us that a standing wave can be expressed as a sum of two travelling waves. Quantum-Mechanical travelling waves, discussed in Chapter 4, is of the form φ(x,t) = Ae^i(kw=wt) Show that the infinite well’s standing wave function can be expressed as a sum of two traveling waves.

Answers

In quantum mechanics, the wavefunction of a particle in an infinite well can be described as a standing wave, which is a superposition of two traveling waves propagating in opposite directions.

The standing wave function in an infinite well is given by:

ψ(x, t) = A sin(kx) e^(-iωt)

Using the Euler's formula, we can rewrite the sine function as a sum of exponential functions:

sin(kx) = (1/2i) * (e^(ikx) - e^(-ikx))

Substituting this back into the standing wave function, we have:

ψ(x, t) = A (1/2i) * (e^(ikx) - e^(-ikx)) * e^(-iωt)

Simplifying the expression, we obtain:

ψ(x, t) = (A/2i) * (e^(ikx - iωt) - e^(-ikx - iωt))

Now, we can define two traveling waves:

ψ_1(x, t) = (A/2i) * e^(ikx - iωt)

ψ_2(x, t) = (A/2i) * e^(-ikx - iωt)

The superposition of these two traveling waves gives us the standing wave function:

ψ(x, t) = ψ_1(x, t) + ψ_2(x, t)

Therefore, we have shown that the infinite well's standing wave function can be expressed as a sum of two traveling waves propagating in opposite directions.

By expressing the sine function in terms of exponential functions and defining two traveling waves, we can show that the infinite well's standing wave function can be written as the sum of these two traveling waves. This demonstrates the connection between standing waves and the superposition of traveling waves in the context of quantum mechanics.

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A rectangular piece of land with an area of 260,000 m²
is 2,000 m long. Write the area and length in scientific
notation, and then find the width.

Answers

Considering the defintion of area of a rectangle and multiplication in scientific notation, you obtain:

the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.

Scientific notation

Scientific notation is a quick way to represent a number using powers of base 10.

The numbers are written as a product:

a×10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

Area of a rectangle

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.

The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:

Area of a rectangle= a×b

where a and b are the measures of the two sides.

Area and length in scientific notation

A rectangular piece of land with an area of 260,000 m² is 2,000 m long.

To write the area and length in scientific notation, the following steps are performed:

The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then: area= 2.60000= 2.6 and length= 2.000= 2.The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of: in the value of area: n=5 and in the value of length: n= 3.

So, the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.

Width of the rectangular piece

In this case, you know that a rectangular piece has:

an area of 2.6×10⁵ m².a length of 2×10³ m.

Replacing in the definition of a rectangle:

2.6×10⁵ m²= width× 2×10³ m

2.6×10⁵ m²÷ 2×10³ m= width

To divide two numbers in scientific notation, you must divide the numbers that are not powers of 10 (what was previously called the "a" number). To divide the powers of ten, you must subtract the exponents. In this case:

Width= (2.6÷ 2)×10⁵⁻³ m

Width= 1.3×10² m

Finally, the width of the rectangular piece is 1.3×10² m.

Summary

In summary, you obtain:

the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.

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If the angle of a light ray in air is 25∘ and it enters a substance with a refracted angle of 13∘, what is the index of refraction of the substance?

A). 0.65

B). 0.53

C). 1.92

D). 1.88



Answers

Answer:

Explanation:

The formula for this is

\(n_1sin\theta_1=n_2sin\theta_2\) where the index of refraction of air is 1.00. Filling in and solving for n2:

1.00sin(25) = n₂sin(13) and

1.00(.423) = n₂(.225) and

\(\frac{1.00(.423)}{.225}=n_2\) so

\(n_2=1.88\), choice D.

If a car has a velocity of 8 m/s and travels for 60 seconds, what was the displacement of the car?

Answers

Answer:

68

Explanation:

now it

suppose that you're driving down the highway and a moth crashes into the windshield of your car. which undergoes the greater force during the collision

Answers

Answer:

See below

Explanation:

The windshield and the moth experience equal but opposite forces. (The magnitudes are the same)

My Dad used to say  "I'll bet he doesn't have the guts to do THAT again!"

How is the answer D?

How is the answer D?

Answers

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

What is the period of a wave?

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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Alpha and beta rays are deflected in opposite directions in a magnetic field because:
A. All of the above
B. They have opposite charges
C. They spin in opposite directions
D. Alpha particles contain nucleons and beta particles do not

Answers

Alpha and beta rays are deflected in opposite directions in a magnetic field because they have opposite charges.

Alpha particles are positively charged while beta particles are negatively charged. When they enter a magnetic field, they experience a force that is perpendicular to their direction of motion and to the direction of the magnetic field. The direction of this force depends on the charge of the particle. Since alpha and beta particles have opposite charges, they experience opposite forces and are deflected in opposite directions.

The magnitude of the force also depends on the velocity of the particle, which is why particles with different energies will be deflected differently. This property of magnetic fields is used in many applications, including in particle accelerators and in medical imaging techniques such as magnetic resonance imaging (MRI). The other options listed in the question are not correct, as the direction of the magnetic force does not depend on the spin of the particle or on the presence of nucleons.

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A force of 16 N to the west is applied to each object below. Which object will undergo the greatest change in momentum

A force of 16 N to the west is applied to each object below. Which object will undergo the greatest change

Answers

A force of 16 N to the west is applied to each object below , the object with greater mass and velocity have greater momentum. So, A 20 Kg object that is moving east at 10m/s.

What is force?

Force is an external agent acting on a body, to change it from the state of rest or motion. There are various kinds of forces such as frictional force, magnetic force, nuclear force etc.

In physics, force is the product of mass and acceleration of the body. Greater mass results greater force needed to be applied on the object to make it move or stop.

Momentum is the product of mass and velocity. Thus, as mass or velocity or both increases, momentum of the object increases. Hence the larger object moving faster will gain greater momentum.

Here, option C is the correct answer.

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A device that measures absolute air pressure is called a a.manometer b. barometer c. thermometer d. tire gauge

Answers

Weather forecasts are made using barometers. An air pressure gauge, or barometer When the barometer reads "rising," the air pressure is rising; when it reads "falling," the air pressure is lowering.

What does barometric mean?

Barometric pressure, to put it simply, is the measurement of air pressure in the atmosphere, more particularly, the measurement of the weight exerted by air molecules at a certain location on Earth.

The usage of a barometer:

barometer, a tool for calculating atmospheric pressure. A barometer may also be used to determine height since air pressure varies with elevation above or below sea level. Mercury and aneroid barometers are the two primary varieties.

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Translate please I need help translating this please read the rules Part b:Which statement from the text best supports the answer to part A? A survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether, how many of them preferred alaber juice? THIS BIOMOLECULE WOULD HE USED FOR tyrone likes to snack on his big bag of candy. he takes 888 pieces of candy from the bag each time he snacks. after he has snacked 181818 times, there are only 666 pieces of candy remaining in the bag. the number ccc of pieces of candy remaining in the bag is a function of sss, the number of snacks tyrone eats. write the function's formula. c What is the grammatical name given to the expression... " that education will provide a continuing supply..... " Consider the following.w = xy + xz + yz, x = t, y = 8t, z = 8(a) Find dw/dt using the appropriate Chain Rule.(b) Find dw/dt by converting w to a function of t before differentiating. What are some details about the Elk cloner computer virus?? Customers at Fred's Caf win a $100 prize if the cash register receipt from their meal shows a star on each of five (5) consecutive weekdays of any week (i.e. Monday, Tuesday ....Friday). The cash register is programmed to print stars on 10% of receipts, randomly selected. If Jamal eats at Fred's once each weekday for four consecutive weeks and the appearance of the stars on the receipts is an independent process, then what is the standard deviation of X, where X is the number of dollars won by Jamal in the four-week period. Give your answer as a decimal rounded to four places (i.e. X.XXXX) Hint: You can find the probability of successfully winning in one week, and then create a Binomial Distribution to determine the probability of winning N times in four-weeks (i.e. N could be 0, 1, 2, 3, or 4). Then, notice that X would be a random variable where X = 100N. Mary has been saving her weekly allowance for the past 20 weeks. She started with $100 and now has $300. Which equation can be used to find the amount of money Mary receives for her weekly allowance? Can any one please help me with this Robinson's Crusoe Personality in chapter 2 According to the CPT manual, the -91 modifier shall not be used when tests are ____ to confirm initial results Please help me with this. Thanks! 1. Solve the equation algebraically for 0x2. Give your answers in radians to the nearest 10th. sin() = cos(2x) 2. In triangle ABC, side a=4 cm, side b=6 cm and angle A=27. What is the measure of angle B? Give your answer(s) to the nearest 10th of a degree HELP PLEASE!!! NEED NOW URGENT PLS HELP - This proof shows the first five steps for verifyingCotangent squared (StartFraction x Over 2 EndFraction) = StartFraction cosine x + 1 Over cosine x minus 1 EndFractionUse the drop-down boxes to complete the steps of the proof. Choose 1-2 of Morrie's aphorisms. In at least four paragraphs, reflect on what this aphorism means to you and explain what it meant to Morriethroughout the novel Use at least one example from the book in each paragraph. What is the price of a coupon bond that has annual coupon payments of $75, a face value of $1000, interest rate of 5%, and a maturity of two years?. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,a. Social Security tax: $2,194.80, Medicare tax: $513.30b. Social Security tax: $21,948.00, Medicare tax: $5,133.00C Social Security tax: $6,621.60, Medicare tax: $513.30d. Social Security tax: $66,216.00, Medicare tax: $5,133.00