Are the three points whose position vectors are 2i 3j 4k i 2j 3k and 7j 10k collinear?.

Answers

Answer 1

The three points like 2i +3j - 4k, 1i - 2j + 3k, and - 7j + 10k are collinear in terms of their position vectors.

If three or more points fall along a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

It is not always possible for the three spots to coincide. This indicates that depending on where these points are located in a plane, they may be collinear or noncollinear. If the slope between any two pairs of points is equal, three points are said to be collinear.

Three pairs of points can be created from the three points R, S, and T.

Assume A=2i+3j-4k.

B=i-2j+3k

C=-7j+10k

AB's current position vector is (i-2j+3k) - (i+3j-4k).

= -i-5j+7k

Now, BC's p.v. equals (-7j+10k) minus (i-2j+3k).

= -i-5j+7k

The p.v. of AB and BC are same. Therefore, the points are parallel and collinear.

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Correct Question:

Show that the three points whose position vectors are 21 +3j - 4k, 1i - 2j + 3k and - 7j + 10k are collinear.


Related Questions

a 140.0 g sample of water at 20.0 °c is mixed with 100.0 g of a certain metal at 95.0 °c. after thermal A 140.0-gram sample of water at 25.0 degrees Celsius is mixed with 120.9 grams of a certain metal at 100.0 degrees Celsius. After thermal equilibrium is established, the (final) temperature of the mixture is 24.6 degrees Celsius. What is the specific heat capacity of the metal, assuming it is constant over the temperature range concerned?

Answers

The specific heat capacity of the metal is 0.17 J/g*C.

To determine the specific heat capacity of the metal, we can use the formula:

Q = mcΔT

Where Q is the heat absorbed or released, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

We know that the heat absorbed by the metal is equal to the heat lost by the water:

Qmetal = Qwater

We know the mass of the water, the initial and final temperature of the water, and the mass of the metal and the initial and final temperature of the metal. We can use this information to calculate the heat absorbed by the water and the heat absorbed by the metal.

Qwater = mwater * cwater * ΔTwater

Qmetal = mmetal * cmetal * ΔTmetal

We know that the heat absorbed by the metal is equal to the heat lost by the water, so we can set the two equations equal to each other:

mwater * cwater * ΔTwater = mmetal * cmetal * ΔTmetal

And we know that the specific heat of water is 4.18 J/g*C and the mass and the initial and final temperature of the water and the mass and the initial and final temperature of the metal

cmetal = mwater * cwater * ΔTwater / mmetal * ΔTmetal

cmetal = (140.0 g * 4.18 J/gC * (24.6 - 25.0)°C ) / (120.9 g * (24.6 - 100)) = 0.17 J/gC

So the specific heat capacity of the metal is 0.17 J/g*C.

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A horizontal 779 N merry-go-round of radius
1.28 m is started from rest by a constant
horizontal force of 43.1 N applied tangentially
to the merry-go-round.
Find the kinetic energy of the merry-go round after 2.5 s. The acceleration of gravity
is 9.8 m/s². Assume the merry-go-round is a solid cylinder.
Answer in units of J.

Answers

The kinetic energy of the merry-go round after 2.5 s is 72.4 J.

What is the acceleration of the merry go round?

The acceleration of the merry go round is calculated from Newton's second law of motion.

F = ma

where;

m is the massa is acceleration

W = mg

m = W / g

where;

W is weight of the merry go round

m = ( 779 / 9.8 )

m = 79.5 kg

a = F / m

a = ( 43.1 N ) / ( 79.5 kg )

a = 0.54 m/s²

The velocity of the merry go round after 2.5 seconds is calculated as;

v = at

v = ( 0.54 x 2.5 s )

v = 1.35 m/s

The kinetic energy of the merry go round is calculated as;

K.E = ¹/₂ x 79.5 x 1.35²

K.E = 72.4 J

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a change in the magnetic field surrounding the conductor induces a voltage in the conductor. this induced voltage is known as ___.

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A change in the magnetic field surrounding conductor induces a voltage in the conductor and this induced voltage is known as electromotive force.

What is an electromotive force?

The electric potential generated by either electrochemical cell or  changing magnetic field is called electromotive force and is is also known as voltage. Changing magnetic field induces additional electromotive force, or voltage in the conductor. Induction of this additional voltage is called self-induction because it is induced within conductor itself.

If a coil of wire is placed in changing magnetic field, current will be induced in the wire and this current flows because something is producing electric field that forces the charges around wire.

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What is an example of a ballistic exercise?.

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The following exercises are frequently employed in modern ballistic training: medicine ball throws, bench throws, jump squats, cleans, snatches, and push presses.

Elite athletes employed ballistic training to improve their ability to perform explosively for the first time in contemporary times. Reaching over to touch your toes while bouncing to extend the range is an illustration of ballistic stretching.

Due to the risk of injury and lack of benefits compared to other, safer forms of stretching like PNF and dynamic stretches, this sort of stretching is infrequently advised. The term "ballistic" describes a training technique in which an external object or the athlete's body is explosively launched into a flight phase. This can involve exercises like jumps, throws, and strikes.

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How does the concentration gradient of h+ ions help to make ATP?.

Answers

Through ATP synthase, the hydrogen ions return down the gradient of their concentration. This causes the subunits to spin and generates the energy required for the fusion of ADP and inorganic phosphate to produce ATP.

In order to move hydrogen ions from the matrix into the intermembrane gap via the mitochondrial inner membrane during electron transport, energy is required. Through the action of ATP synthase, hydrogen ions move back across the mitochondrial membrane and into the matrix as a result of a chemiosmotic gradient, producing ATP.

A H+ accumulation occurs in the inner membrane space of the mitochondria as a result of the electrons from NADH and FADH2 moving through the electron transport chain. The membrane enzyme complex ATP synthetase receives its direct energy for ATP production from the proton gradient (gradient of H+) that flows through it.

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The ratio of elements in the molecular compound ethyl alcoholic is: carbon,2; hydrogen, 6; oxygen, 1. Which is the formula for this compound?

Answers

Answer:

The answer is C2H60 hope this helps.

Explanation:

A car accelerated to 10m/2 after being rear-ended by a truck. The car and it occupant have a ma of 1300kg. How much force did the truck place on the Uber car?

Answers

Therefore, the truck placed 6500 Newtons of force on the Uber car after rear-ending it.

What is the force ?

Force is an influence that causes an object to undergo a certain change. It can be described as a push or pull, which can cause an object to start moving, stop moving, speed up, slow down, or change direction. Forces can be caused by many different types of interactions, including those between objects, between objects and fields, and between fields. Examples of forces include gravity, friction, magnetism, and electric forces. Forces are measured in Newtons (N).

The force placed on the Uber car can be calculated using Newton's Second Law of Motion, which states that force is equal to mass times acceleration (F = ma).

In this example, the force placed on the Uber car can be calculated as follows:

Force = Mass x Acceleration

Force = 1300 kg x 10m/2

Force = 6500 N

Therefore, the truck placed 6500 Newtons of force on the Uber car after rear-ending it.

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Help with number 3 Please!! i’d greatly appreciate it

Answers

Answer: You can not see it!

Explanation:

What is ballistic stretching and example?.

Answers

You stretch or "warm up" by bouncing into (or out of) a stretched position while using the expanded muscles as a spring to pull you out of the stretched position.

Bouncing down repeatedly to your toes, for instance is a kind of stretching is regarded as unhealthy and injury-prone. On the cartridge case and bullet, the firing of a projectile by a gun leaves minute traces. They have a look similar to ballistic fingerprints.

In order to achieve a broader range of motion than is often attainable with routine dynamic or static stretching, ballistic stretching seeks to push your muscles past the point of reflexive control. The time limit for ballistic stretches is the same as for any other type of stretching.

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calculate the speed of a wave in a guitar if the frequency of the vibration of the guitar string is 250hz and the wavelength of the is 1,6m​

Answers

Answer:

400m/s

Explanation:

Frequency = 250hz

Wavelength = 1.6m

velocity =?

Velocity = Frequency × Wavelength

velocity = 250×1.6

V= 400m/s

What is the SI unit of power Mcq?.

Answers

The SI unit of power is watt.

In physics, power is the amount of energy transferred or converted per unit of time. In the International System of Units, the unit of power is the watt, which is equivalent to 1 joule per second. In older works, force is sometimes called activity. Power is a scalar quantity.

Performance is how fast work gets done. P = gravimetric power The SI unit is Watt W, where 1 Watt equals 1 Joule/second (1W=1J/s). Since work is energy transfer, power is also the rate at which energy is consumed. For example, a 60 W light bulb consumes 60 J of energy per second.

Watt (abbreviated W) is the International System of Units (SI) standard unit of power (energy per unit time), equivalent to 1 joule per second. Watts are used to indicate the rate at which electrical energy is dissipated, or electromagnetic energy is radiated, absorbed, or dissipated.

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What does Newton's 1st 2nd and 3rd laws state?.

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Newton's first law states that an object will continue to move unless a force acts on it. The second law states that force equals mass times acceleration.

Newton's first law, also known as the law of inertia, states that a body at rest will remain at rest and a body in motion will continue to move at a constant speed unless acted upon by an external force. I'm here. This means that the object will maintain its current state of motion unless a net force acts on it.

Newton's Second Law, also known as the Law of Acceleration or the Law of Force, states that the acceleration of a body is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the force on an object is equal to its mass multiplied by its acceleration.

Newton's Third Law, also known as the "Law of Action and Reaction" or "The Law of Reciprocity", states that for all actions there are equal and opposite reactions. This means that when one object exerts a force on her second object, the second object exerts an equal and opposite force on the first object.

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Is magnitude of vector negative or positive?.

Answers

Magnitude of vector is always positive, because a minus sign in a vector only indicates direction, not magnitude.

A quantity's measurement or its absolute value is referred to as its magnitude. A positive real number is used to represent the magnitude of an object. To put it another way, the magnitude of a quantity is just its size. You can't have a negative magnitude. It refers to the portion of the vector that does not point in any particular direction (positive or negative). For the formula to work, the values inside the summation must be squared, turning them into positive numbers.

Example:

∥a∥ = √ (-2²) + (-3²)

∥a∥ = √ 25

∥a∥ = 5

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A wave in which particles of the medium undergo a circular motion is known as a blank wave.
A. Longitudinal
B. Pitch
C. Standing
D.Trasverse

Answers

None of the above is right option for the same. A wave in which particles of the medium undergo a circular motion is known as a Surface wave.

A surface wave is a wave in which the medium's particles move in a circular pattern. Surface waves are neither transverse nor longitudinal. All of the particles in the bulk of the medium travel parallel to and perpendicular to the direction of energy transport in longitudinal and transverse waves, respectively.

Only the particles at the medium's surface move in a circular motion during a surface wave. As one moves farther away from the surface, the mobility of the particles tends to slow down.

Every wave that travels across a medium has its origin. One of the particles was initially displaced somewhere along the medium.

It is typically the first coil on a slinky wave that is moved by a person's hand. The first air particle to vibrate during the creation of a sound wave is often caused by the vocal chords or a guitar string. The particles that are displaced from their equilibrium position at the point where the wave is introduced into the medium always move in the same direction as the vibration's source.

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Two vertical springs have identical spring constants, but one has a ball of mass m hanging from it and the other has a ball of mass 2 m hanging from it.

Answers

This is because the spring with the mass m will have a lower force pushing it up, due to the lower mass, which will cause the spring to stretch further and have a lower equilibrium position.

What is the equilibrium ?

 Equilibrium is a state of balance in which opposing forces are equal and in balance with each other. In economics, it is a situation in which the demand for a product or service is equal to the supply. This is usually achieved when the price of the product or service is at a point where the quantity demanded is equal to the quantity supplied. This point is known as the market equilibrium price. When the market is at equilibrium, it is in a stable position and no change in prices or quantity is needed. The concept of equilibrium is important in economics because it helps to understand how prices and quantity supplied and demanded are determined in the market.

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High rates of attrition are particularly problematic for _____ research.a. cross-reference b. longitudinal c. archival

Answers

High rates of attrition is particularly problematic for longitudinal research.

In longitudinal studies, why is attrition a problem?

There are two major issues with attrition. First, attrition reduces the size of the sample, and when the sample size is too low, statistical power is compromised. In the event that attrition is not random, it may also result in non-response bias (which affects the validity of the study findings).

High rates of observation, generalization, attrition, and deception complicate longitudinal studies. So, a longitudinal study is one in which a group of people is followed over an extended period of time.

Attrition rates or churn rates typically show how quickly employees change jobs, while low attrition rates show how long employees stay with a company. The size of your business will also affect the employee attrition rates.

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A brick i liding to the right on a horizontal urface. What are ome direction of the two urface force the friction force of the normal force

Answers

The two surface forces acting on the brick would be the friction force and the normal force.

What is surface?

Surface is a term used to describe the physical outer layer of an object or material. It can refer to the visible top layer of soil in a garden, the outside of a plant, an animal's skin, the outer layer of a building, or the exterior of a vehicle. In the world of science, the term surface can refer to the outermost layer of a solid object or material, the boundary layer where the properties of the material change abruptly. Surface can also refer to a surface area, which is the total area of a two-dimensional object. Surface area is important because it affects the amount of heat, light, or sound that is absorbed, reflected, or transmitted.

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How many moles of aspartame are present in 1. 00 g of aspartame?.

Answers

The number of moles per grams of aspartame contain 3.40 * 10^(-6) moles, or aspartame.

It results in neuropsychiatric symptoms as sadness, seizures, and headaches [83]. Aspartame is converted by the body into phenylalanine (Phy), aspartic acid, and methanol. These metabolites have the power to alter the neurochemical balance and neurotransmitter concentration in the brain.

Products containing aspartame should be avoided by some persons due to the possibility of negative side effects. The SCF determined a 40 mg/kg body weight Acceptable Daily Intake (ADI) for aspartame in 1984. The ADI is a calculation of the quantity of a food additive that can be consumed everyday for a lifetime without posing a significant health risk, presented as a body weight basis.

Mass of aspartame = 294.31 g

moles of aspartame = 1/ 294.31

moles of aspartame = 3.40 * 10^(-6)

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Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units.

Answers

Subtract the greater force's magnitude from the smaller force's magnitude to determine the resultant force. The smaller force's direction and the resultant force's direction are same.

How big is it, exactly?

Magnitude typically refers to a size or a distance. We can relate magnitude to the movement by comparing the size and motion speed of the thing. The object's or quantity's size determines its magnitude.

What magnitude instances are there?

Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. It reveals the direction or size, whether absolute or relative, in which an object moves.

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Does Temperature Change Viscosity in Liquid. (I need this for research)

Answers

Answer:  A big Yes

Explanation: Viscosity depends strongly on temperature. In liquids, it usually decreases with increasing temperature, whereas, in most gases, Viscosity increases with increasing temperature.

As temperature increases, the average kinetic energy of the molecules also increases; it more easily overcomes the attractive forces between molecules. Therefore, Viscosity decreases with increasing temperature.

For example, when syrup is cold it has a high viscosity and can be difficult to pour. When heated in a microwave, the viscosity decreases and the syrup flows more freely. Similarly, Honey and oil tend to flow better at higher temperatures.

Both cohesion and molecular interchange contribute to liquid viscosity.  With high temperatures, viscosity increases in gases and decreases in liquids, the drag force will do the same.

When a liquid is heated, the kinetic energy of its molecules increases and the intermolecular attraction becomes weaker. Hence, the viscosity of a liquid decreases with an increase in its temperature.

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Explain which movement jamal should make (which car and which point), and why that movement will result in the largest increase in potential energy. Describe the magnetic force that will act on the vehicle he moves.

Answers

Jamal should move the car from Point A to Point B,which will increase its potential energy.

What is potential energy?

The energy that an object has stored in it due to its position or configuration is known as potential energy. It is the energy an object possesses due to its position relative to other objects, stresses within itself, its electric charge, or other factors. The ability of an object to do work by virtue of its position is called potential energy. Examples of potential energy include the energy stored in a stretched elastic band or a raised weight

Jamal should move the car from Point A to Point B. This movement will result in the largest increase in potential energy because Point B is higher than Point A, and thus the car will gain potential energy as it moves to a higher elevation. The magnetic force that will act on the vehicle is the magnetic repulsion force. This force is created by the magnetic fields of the two cars, which act to push the cars apart. This force is what causes the car to move up the incline and gain potential energy.

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Once cleared for takeoff the jet began to accelerate from rest to high speed along the level runway the potential energy is: decreasing or is constant?

Answers

The two examples given above serve to highlight the two types of potential energy that will be covered in this course: elastic potential energy and gravitational potential energy.

What is Potential energy?

The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy.

Because of the Earth's gravitational pull on the object, the energy is captured. The mass of the ball and the height to which it is raised both affect the gravitational potential energy of the huge ball of a demolition machine.

The mass of an object and its gravitational potential energy are directly related. Objects with more mass have more gravitational potential energy.

Therefore, The two examples given above serve to highlight the two types of potential energy that will be covered in this course: elastic potential energy and gravitational potential energy.

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what is created when light is refracted in a rainstorm?

Answers

Answer: It form Rainbow

What is Rainbow ?

--A rainbow is a meteorological phenomenon that is caused by reflection, refraction and dispersion of light in water droplets resulting in a spectrum of light appearing in the sky.

-- It takes the form of a multicoloured circular arc.

What is Refraction ?

-- Rainbows are formed when light from the sun is scattered by water droplets (e.g. raindrops or fog) through a process called refraction.

--Refraction occurs when the light from the sun changes direction when passing through a medium denser than air, such as a raindrop.

What is reflection?

--The return of light or sound waves from a surface. :

--the production of an image by or as if by a mirror.

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a 12 v battery is connected to two resistors in series, r1 and r2. the voltage across r1 is 7 v. what is the voltage across r2?

Answers

The voltage across R2 calculated by taking the difference is 5 V.

We know that the total voltage of a battery is equal to the sum of the voltages across each resistor in a series circuit.

Voltage =Vr1 + Vr2

Voltage = 12 V

Voltage across R1 = 7 V

Therefore,

Voltage across R2 = Voltage - Voltage across R1

Voltage across R2 = 12 V - 7 V = 5 V

It's important to note that in a series circuit, the same current flows through each resistor. Therefore, the voltage across each resistor is inversely proportional to its resistance. In other words, the resistance of R2 is greater than R1, so the voltage across R2 is less than the voltage across R1.

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Due to extensive
passport.
O coalition
O bolster
Oassiduous
bureaucratic
red tape, it will take months to receive my
*

Answers

Due to extensive passport - coalition option (a) is correct.

What is bureaucratic red tape?

Red tape is overly restrictive formal regulations or inflexible adherence to them that is seen unnecessary or bureaucratic and gets in the way of doing things or making decisions. Governments, businesses, and other large organizations are typically the target of it.

What is coalition?

A coalition government might also be established during a period of national difficulty or crisis (for instance, during a time of war or economic crisis) to provide a government with the high level of perceived political legitimacy or collective identity. It can also play a role in reducing internal political strife.

Therefore, due to extensive passport - coalition option (a) is correct.

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How do you calculate net torque on a wheel?.

Answers

A radius of the pulley, which is the distance from the rotating axis, is multiplied by the force (F) to determine load torque (r). I

What is the net torque equation?

A total torque about axis is produced by the addition of the separate torques. The net torque about the shaft is the sum of the various torques when the proper signal (positive or negative is applied to the magnitudes of the individual torques about the given axis: →τnet=∑i|→τi|.

Describe net torque?

Result for an image How do you determine a wheel's net torque, An object may be under the influence of many forces, each of which may act at a different position on the item. Next, each force will result .

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the refractive index of diamond is 2.42 .What is the meaning of this statement?

please answer quick that's urgent :-(​

Answers

Answer:

Answer: Diamond has a refractive index of 2.42 which means that the speed of light in diamond will reduce by a factor of 2.42 as compared to its speed in the air. In other words, the speed of light in diamond is 1/2.42 times the speed of light in vacuum.

Answer:

The refractive index of a material is a measure of how much a material bends light as it passes through it. The refractive index of a material is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. A refractive index of 2.42 for diamond means that light travels through diamond at about 42% slower than it does in a vacuum. This high refractive index is due to the high density and strong chemical bonds of the carbon atoms in diamond. This high refractive index gives diamond its characteristic brilliance and fire, and makes it

Where is the kinetic energy of a roller coaster at its highest answer?.

Answers

The kinetic energy of a roller coaster is at its highest at the bottom of the drop, the lowest position. This can be explained by the conservation of energy.

What is law of conservation of energy?

The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."

In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as

E₁ = E₂

½mv₁ + mgh₁ = ½mv₂ + mgh₂

Where

E₁ = mechanical energy at point 1E₂ = mechanical energy at point 2m = mass of an objectv₁ = velocity of object at point 1v₂ = velocity of object at point 2h₁ = height of object at point 1h₂ = height of object at point 2

At the lowest position of a roller coaster, the height is zero. If we count the energy change from the highest position where the velocity is zero, we get the equation

½mv₁ + mgh₁ = ½mv₂ + mgh₂

½m(0) + mgh₁ = ½mv₂ + mg(0)

mgh₁ = ½mv₂

U₁ = KE₂

There is only kinetic energy at the lowest position of the roller coaster.

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Silver has two stable isotopes, 107ag and 109ag. The isotopic mass of 107ag is 106. 9051, and the isotopic mass of 109ag is 108. 9047. The atomic weight of silver, from the periodic table, is 107. 9418. What is the percent abundance of 109ag (enter to 2 decimal places)?.

Answers

The percent abundance of 109Ag is calculated by finding the ratio of the mass of 109Ag to the total mass of silver, and multiplying the result by 100. The percent abundance of 109Ag is 0.5034 × 100 = 50.34%.

What is the calculated ?

The calculated answer is based on the data that is provided and the formula or equation used to calculate it. Depending on the complexity of the problem, this answer could be a single number, multiple numbers, a graph, a chart, or even a written response.

The percent abundance of 109Ag is calculated by finding the ratio of the mass of 109Ag to the total mass of silver, and multiplying the result by 100.

The total mass of silver is the sum of the masses of both isotopes: 106.9051 + 108.9047 = 215.8098

The mass of 109Ag is 108.9047, so the ratio of the mass of 109Ag to the total mass of silver is 108.9047/215.8098 = 0.5034

The percent abundance of 109Ag is 0.5034 × 100 = 50.34%.

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What factors does mass depend on?.

Answers

Mass depends on several factors, including the force of gravity, the density of the object, and the volume of the object.

The force of gravity affects the mass of an object by determining the amount of force that acts on it. A greater gravitational force will result in a greater mass. The density of an object will also affect its mass; an object with a higher density will have a greater mass than an object with a lower density.

Finally, the volume of an object will also affect its mass; a larger object will have a greater mass than a smaller object. All three of these factors must be considered when determining the mass of an object.

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Why did Della and Jim think of giving presents to each other?. Help i want answerrrrrrrr pls Many of those living in poverty are in poor health because they are overweight. However, many low-income neighborhoods are full of fast foodrestaurants and convenience stores that sell processed foods high in fat and sugar. These foods are easier to access and often cheaper than freshvegetables and lean meats. This is an example of what kind of social problem?A. social v. natureB.norms and value violationsC.interdependent social problems D. violation of powerful group standards Dean is taking a personal assessment and notices that many of his interests involve the reading and creation of language arts and poetry. What career cluster will the assessment most likely indicate to be fitting for Dean?TechnologyArt and PerformanceLegalPublic Service Which statement BEST explains how the paragraph on page 6 expresses the author's point of view about the tiny living movement? which modification in the plan of care would the nurse make because of the clietns age when caring for an older adult with cad If one side of a rectangle is 8 centimeters and the another side of the rectangle is 12 centimeters, what is the area of the rectangle?A) [tex]96cm^{2}[/tex]B) [tex]40cm^{2}[/tex]C) 96 cmD) 40 cm /A company sells shirts for $10 each. Its revenue function is r(x) = 10x.Its costs are $3 per shirt plus $9,000 of fixed costs. Its cost function isc(x) = 3x + 9000. Use this information for Problems 13-15. The firstone is done for you.13. Find the company's revenue and costs if it sells 2000 shirts.Revenue = $20,000; costs = $15,00014. Profit equals the difference between revenue and cost. Write thefunction, p(x), for this company.15. In 2012, the company sold 5000 shirts. Find its profit.1Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsi135 One number is 7 more than another number. If the smaller number is doubled and added to 3 times the larger number, the sum is 86. Find the two numbers.Smaller number =Larger number=(Type the integers or decimals.) This is the second to last question in this set of questions. In two minutes' time you __________and then you will find out your score.A. will finishB. will have finishedC. will be finishingD. will have been finishing which of the following characteristics of competitive markets is necessary for firms to be price takers? What is it called when you substitute a number for each variable and simplify?. you go to a store to buy clothes. shirt cost 10.25$ each and pants cost $17 each. let x equal the number of shirts and y equal the number of pants you buy. you can only spend up tp $50 at the store. What makes the United Kingdom unique according to this map? What did Locke argue about humans?. Retell the events of paragraphs 14 and 15 from the valet's perspective (Story is an unconfterble bed) Cost of goods formula g which of the following are the correct uses of spring resttemplate class localhost8080 catalog Using the following reactionA + 2B = 3C + D + heatIf D is removed, what happens to A?Concentrationof A increasesConcentrationof A decreases What is the rational function?