A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 32 m/s, and the average southward velocity has a magnitude of 29 m/s. What is the average velocity (magnitude and direction) for the entire trip?

Answers

Answer 1

Answer:

16.75 m/s North

Explanation:

Calculate a weighted average;  North is the positive direction

(32 m/s).75 - (29 m/s).25 = 16.75 m/s N


Related Questions

What is the wavelength of 3 Hz?

Answers

A wave's duration, T, is 13 seconds if its frequency, f, is 3 Hz.The wavelength is 5 meters long.This indicates that wave moves 5 m in one interval.

What wavelength does one hertz have?

Sounds in air at a frequency of one hertz (Hz):340 m A:These molecules are already flowing in the direction of the source in response to the loudspeaker membrane's inward motion.

A 3 wavelength lamp: what is it?

A blue light LED chip, a green light LED chip, as well as a red fluorescent film are employed as light sources and a light transition layer, respectively, in a three spectrum organic light - emitting diode (LED) arrangement.

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If the distance between the two spheres a and b is 500 cm, find the location for the third sphere c so that the net force on it is zero.

Answers

Given that the third sphere is located at  force x = 175 cm

Therefore, route two multiplied by the and divided by twplus one will be closed to route X. Okay, so this is how the X is expressed. This is the party, then. Now, in the party, we must locate what we have.

R = 500 cm, and x = 0.35R.

Therefore, x = 0.35 500 cm and x = 175 cm.

Therefore, the third sphere needs to be positioned 175 cm apart from the first sphere force.

The arrangement below shows the placement of two spheres, A and B. mA = 3m and mB = 8m. 8m is the mass of sphere C. Considering that A and B are separated by 500 cm,

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How long will it take a horse to gallop 20 miles at 4mph
hours

Answers

Answer:

1 hour 30 minutes

Explanation:

because it is going 4 miles and i did this and i got it right

What is the name of the relationship between wavelength and frequency?

Answers

According to the equation, v = f λ, frequency and wavelength are inversely proportional to each other.

The SI unit of wavelength is meter usually denoted as m. While measuring wavelength the multiples or fractions of a meter is also used.

What is a meter?

The meter was originally defined in 1793 as one ten-millionth of the distance from the equator to the North Pole along a great circle, making the circumference of the Earth approximately 40,000 km. In 1799, the meter was redefined as a prototype meter (the actual bar used was changed in 1889). In 1960, the power meter was redefined in terms of a certain number of wavelengths of a certain krypton-86 emission line. The current definition was adopted in 1983 and slightly modified in 2002 to make it clear that the meter is a measure of proper length.

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What are 2 examples of irony in The Interlopers?

Answers

In “The Interlopers”, irony is a key element the author Saki uses to convey the theme that when people hold grudges, the outcome of the feud is often tragic and The dramatic irony is that both men wish to meet the other man face to face with no witnesses around—each man has the wish to kill the other.

What is an irony?

Irony in its broadest sense is the juxtaposition of what appears to be on the surface and what is or is expected to be. It is an important rhetorical and literary technique.

Sarcasm can be divided into several types, such as verbal sarcasm, dramatic sarcasm, and circumstantial sarcasm. Verbal, dramatic, and situational sarcasm are often used to emphasize truthful claims. An ironic form of simile used in sarcasm, and some forms of ritote, are deliberate words that convey the opposite of the truth, deny the opposite of the truth, or grossly and clearly disrespect the facts. May be used to emphasize the importance of a person.

Therefore, In The Interlopers, Irony is a key element for author Saki to convey the theme, and when people hold grudges, the consequences of feuds are often tragic, and the dramatic irony is that both men are shunned by the other. It's about seeing someone face it because they want to see it. Face it with no witnesses around - each person has a desire to kill the other person.

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what is the best way to push an object? by using your upper body strength by using your upper body strength by using your hip and leg muscle by using your hip and leg muscle by leaning into the object with your body weight by leaning into the object with your body weight by pushing with the strength in your arms

Answers

It's indeed safer to push than to pull whenever feasible.If an item must be hauled, keep it close to your body and centered between the shoulders and hips.Bend between the waist and shoulders while attempting to maintain a straight back.Always avoid pulling or pushing things up high.

Which muscles work best when lifting something?

Keep in mind that the quadriceps (thighs), gluteus (buttocks), and abdominal muscles are your LIFTING MUSCLES.

When pushing anything, how should you move your body correctly?

Put your hands on anything and bend your elbows to push it.Apply steady, sustained pressure by moving your weight from the back leg to the front leg.Figure: Grab the item and bend your elbows to pull it.

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What is true about radiation Mcq?

Answers

Your body contains a variety of radioactive isotopes is the one that best describes radiation.

What is the definition of radioactive isotopes?

(RAY-dee-oh-I-suh-tope) an unstable variation of a chemical substance that emits radiation as it disintegrates and grows more stable. Both natural and artificial radioisotopes can be created. They are employed in medical practice for both therapy and imaging examinations. termed radionuclide as well.

Why do radioactive isotopes pose a threat to human life?

When a human inhales or consumes a radioisotope, it is dispersed to various organs and stays somewhere for days, months, or years, producing a constant dose of radiation, until it decays or is expelled (committed dose). consequences include baldness, skin burns, nauseousness, gastrointestinal trouble, or death (Acute Radiation Syndrome).

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A mass is pulled on a frictionless inclined plane
What is it's speed at the bottom of the incline?

Answers

Answer:

I mean its frictionless and its at the bottom so wouldn't it be 0.

Explanation:

Problem 1: A box rests on a horizontal surface. You apply a force on the box of F= 100 N at an angle, 0, below the horizontal and it slides at a constant velocity. The friction force that acts on the box is: Multiple Choice : 1) 100 Newtons. 2) less than 100 Newtons. 3) greater than 100 Newtons. у F 0 m y. X

Answers

On a horizontal surface, a box is perched. The box glides at a constant speed when you apply a force of 100 N at an angle of 0 below the horizontal. Less than 100 N of frictional force is exerted on the box.

A box is moving steadily at 0.55 m/s down an incline slope. All forces operating on this container must result in a vector that points. None of the alternatives above. A extremely thin rope is used to drop a bucket at a steady descending speed. The rope's tension must match the weight of the bucket. If the box is subjected to a force F with an angle p as illustrated,what is the smallest value of below which, regardless of the, the box will not move; A 55.0-kg box is positioned horizontally. The box and the surface have a static friction coefficient of 0.300. What must be put to the box horizontally in order for it to begin.

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a convex spherical (diverging) mirror with a focal length of 25 cm has a 4.0 cm tall object placed 100 cm in front of it. what is the position of the image relative to the mirror? (also drawing a ray diagram might help)

Answers

The position of the image relative to the mirror v = 20cm, position of the image behind the mirror.

Since object is always placed in front of the mirror

Hence, object distance will be negative

Object distance (u) = - 100cm

Focus of a convex mirror is behind the mirror

Hence focal length will be positive

Focal length (f)= + 25cm

Find position of the image

Let the image distance = v

Using formula,

[tex]\frac{1}{v}[/tex] +[tex]\frac{1}{u}[/tex] = [tex]\frac{1}{f}[/tex]

[tex]\frac{1}{v}[/tex] = [tex]\frac{1}{f} - \frac{1}{u}[/tex]

[tex]\frac{1}{v} = \frac{1}{25} - \frac{1}{-100}[/tex]

[tex]\frac{1}{v} = \frac{1}{25} + \frac{1}{100}[/tex]

[tex]\frac{1}{v} = \frac{4 + 1}{100}[/tex]

[tex]\frac{1}{v} = \frac{5}{100}[/tex]

v = [tex]\frac{100}{5}[/tex]

v = 20cm

Since v is positive

Hence, image is 20cm behind the mirror

Nature of image is Virtual and erect.

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What are 2 equations for calculating wavelength?

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λ = v/f. Wavelength, velocity, and frequency are all given in units of meters, seconds, and hertz (Hz).

Which two equations represent wave speed?

Wavelength and frequency are related to wave speed via the wave speed equation (Speed = Wavelength x Frequency). This equation can be used to determine wave speed when the wavelength and frequency are known.

Which two frequency formulas are there?

The frequency formula in terms of time is provided as follows: f = 1/T, where T is the duration of one cycle in seconds and f is the frequency in hertz. The formula for calculating frequency in terms of wavelength and wave speed is given as f = /, where is the wave speed and is the wavelength of the wave.

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jannah is trying to replace the lens on her camera. what should she look for on both the lens and the circular base to help her do this?

Answers

To replace the lens on a camera, Jannah should look for a series of matching features on both the lens and the circular base of the camera. These features will help her to properly align and attach the lens to the camera.

On the lens, Jannah should look for a mounting index, which is typically a small dot or line on the lens barrel. This mounting index helps to align the lens with the mount on the camera.

On the circular base of the camera, Jannah should look for the lens mount, which is a series of metal contacts and a mechanical linkage that allows the lens to be securely attached to the camera. The lens mount typically consists of a set of flanges or lugs that correspond to the mounting index on the lens.

To attach the lens to the camera, Jannah should align the mounting index on the lens with the lens mount on the camera, and then turn the lens in a clockwise direction until it is securely attached. Some lenses may require a specific torque to be tightened properly, so it is important to follow the manufacturer's instructions when attaching the lens.

Once the lens is properly aligned and attached, Jannah should check to make sure that the lens is securely fastened to the camera and that it is properly seated in the lens mount. If the lens is not securely attached or is not properly seated, it may not function properly or may become damaged.

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if the triple beam balance scale and spring scale were taken to the top of mt. everest, do you think they measure same as in nyc?

Answers

No, the triple beam balance scale and spring scale would not measure the same as in NYC if taken to the top of Mount Everest.

This is because the atmospheric pressure at the top of Mount Everest is much lower than the atmospheric pressure at sea level. As atmospheric pressure changes, the weights of objects change as well. This phenomenon is referred to as barometric pressure.

The barometric pressure at the top of Mount Everest is around 250 mmHg, whereas the pressure at sea level is 760 mmHg. Since the atmospheric pressure is much lower at the top of Mount Everest, the weight of the objects being measured on the triple beam balance scale and the spring scale would be lower than they would be at sea level.

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Whats the difference between solve and NSolve?

Answers

Using machine (inexact) numbers, NSolve uses mathematics to calculate a result. On the other hand, if the input only contains exact numbers and no machine numbers, solves the equation symbolically or with exact numbers first.

What makes solve and NSolve different from one another?

To solve an equation or group of equations algebraically, use the function solve. Although it is sometimes preferable to have a numerical solution, it is not always possible to solve an equation algebraically. In either scenario, a group of equations or an individual equation can be solved numerically using NSolve.

Describe NSolve.

Equation, "Variable = initial value," NSolve identifies numerically all possible answers to the given equation for the provided unknown variable and its initial value.

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Jayce goes on a bike ride to Luc’s house. What will be his velocity if he is traveling at 31 km/h for 12.5 minutes?

Answers

The velocity if he is traveling at 31 km/h for 12.5 minutes is 149.04

How to solve for the velocity

When an item is moving, its velocity is the rate at which it is changing position as seen from a specific point of view and as measured by a specific time standard.

We have the formula for velocity as

V = distance / time

the distance = 31 km/h

the time = 12.5 minutes

convert the time to hours to get the velocity

12.5 minutes / 60

= 0.208 hrs

Then the velocity = 31 km/h  / 0.208

= 149.04

Hence the velocity is 149.04

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Esme is planning to go on a hot air balloon ride soon. as time passes, the balloon will get higher in the atmosphere, and as the balloon gets higher, the temperature gets cooler. esme has been researching the mathematics behind her balloon ride and found these two functions: esme is wondering if there is a relationship between the time in flight and the temperature. if height depends on time, and temperature depends on height, can a relationship between time and temperature be formed?

Answers

Yes, there is a relationship between time and temperature in a hot air balloon ride, because the temperature changes as the balloon ascend or descend in the atmosphere. If height depends on time and temperature depends on the height, then it is possible to establish a relationship between time and temperature.

One way to do this would be to use the equations that describe the height and temperature as a function of time to calculate the temperature at various times during the balloon ride. For example, if the height of the balloon as a function of time is given by the equation h(t) and the temperature as a function of height is given by the equation T(h), then the temperature at a given time t can be calculated using the equation T(h(t)).

It's important to note that the specific form of the equations for height and temperature will depend on the conditions of the balloon ride, such as the rate at which the balloon ascends or descends, the atmospheric conditions, and other factors. Therefore, it will be necessary to use the appropriate equations and input values in order to accurately calculate the temperature at a given time during the balloon ride.

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From the definition of the standard Ohm calculates the resistivity and conductivity of mercury at 0°
C. Given that standard Ohm is the resistance of thread from mercury with a uniform cross-sectional
area 1mm2 and its length 106.3 cm at 0°C. (hint: standard Ohm has a resistance of unity)

Answers

The resistance of the wire as shown is obtained as 106.3 * 10^4 Ohm.

What is the resistance?

We know that the term resistance has to do with the degree of the opposition that is offered to the flow of current. We should know that the resistivity is the opposite of conductivity. We can see that in this case we have to write down the formula of the resistance as;

R = ρl/A

R = resistance

ρ = Resistivity

l = length

A = Area

Then we have for the mercury;

R = 1 * (106.3 * 10^-2)/( 1 * 10^-6)

R = 106.3 * 10^4 Ohm

The wire would have a resistance of  106.3 * 10^4 Ohm.

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the speed of light drops to 2.26 × 108 m/s in water. what is the dielectric constant of water?

Answers

The dielectric constant of water is 1.760.

The relative permittivity or quantity of charge needed to generate one unit of electric flux in a particular medium is known as the dielectric constant.

We are given that,

Speed of light = c = 3 × 10⁸m/s

Speed of light drops in water= V = 2.26 × 10⁸ m/s .

The dielectric constant of water (k) can be calculated as,

v = c/√K

K = (c/v)²

K =(3 x 10⁸ / 2.26 x 10⁸)²

K = 1.760

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A stream is 30. Meters wide and its current flows southward at 1. 5 meters per second. A toy boat is launched with a velocity of 2. 0 meters per second eastward from the west bank of the stream. How much time is required for the boat to reach the opposite bank of the stream?.

Answers

The time required for the toy boat to reach the opposite bank of the stream is 20 seconds.

To solve this problem, you need to use the concept of vector addition to find the net velocity of the toy boat relative to the ground. The net velocity of the toy boat is equal to the velocity of the current plus the velocity of the toy boat relative to the current.

The velocity of the current is 1.5 meters per second southward, and the velocity of the toy boat is 2.0 meters per second eastward. When these velocities are added vectorially, the resulting net velocity is 2.6 meters per second at an angle of 63.4 degrees east of south.

To find the time required for the toy boat to reach the opposite bank of the stream, you can use the distance traveled and the speed to calculate the time using the equation t = d/s, where t is the time, d is the distance, and s is the speed.

The distance traveled is 30 meters (the width of the stream), and the speed is 2.6 meters per second. Plugging these values into the equation gives you a time of t = 30 meters / 2.6 meters per second = 11.54 seconds. Rounding up to the nearest whole number gives you a time of 20 seconds.

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What is the most common type of genetic disease?

Answers

The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). disorders brought on by a gene mutation. Think about sickle cell disease.

What is a typical genetic illness?

Genetic conditions. Crohn's disease. CF. Dysplastic fibrosis Cirrhosis liver fibrosis disease Brain, Nerves, and Spine When your genes or chromosomes undergo a mutation, genetic illnesses result. While some illnesses manifest symptoms from birth, others do so over time.

Which of the following 4 genetic illnesses are they?

There are four primary categories: illnesses with a single gene. hereditary inheritance illnesses with multiple factors. aberrant chromosomes. diseases caused by mitochondrial genetic inheritance. Chromosome abnormalities occur when one or more chromosomes (or chromosome segments) are absent or altered.

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Does weight matter on a boat?

Answers

Yes, the weight on the boat matters because it decides whether the boat will sink or float.

Yes, the weight that is present on the boat matters because it will decide that if the boat will sink in the water or float on the water.

We know that the Archimedes principle says that there is an upward force acting on the boat that is equal to the weight of the fluid displaced by the boat.

So, if the weight present on the boat is greater than the buoyancy of the boat, the boat will sink but if the weight present on the board is less than the buoyancy of the boat, the boat will sink.

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the greater efficiency achieved with the curved blades of a pelton wheel is due to

Answers

The greater efficiency achieved with the curved blades of a Pelton wheel is due to the fact that the curved blades create a Venturi effect, which increases the velocity of the water as it passes through the wheel. This increased velocity results in a greater amount of energy being extracted from the water, resulting in a higher efficiency.

What is the time it takes one-half of the nuclei in a sample of a radioactive isotope to decay called?

Answers

A radioactive isotope's half-life is the length of time it takes for one half of it to decay.

What does a radioactive isotope's half-life mean?

The period of time it takes for half of a radionuclide's radioactive atoms to decay is known as the half-life. A good rule of thumb is that you will have less radiation than 1% of the original amount after seven half-lives.

What does a decay half-life mean?

A half-life is the amount of time it takes for something to go from 100% to 50%. The term is most usually used to describe radioactive decay, which occurs when unstable and energetic atomic particles lose momentum. 29 components have been demonstrated to be able to go through this procedure.

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I don’t understand this

Answers

The toy does not approach the spring.

What is friction?

The force that prevents one solid object from slipping or rolling over another is known as friction.

Mass of the toy-car: m = 2 kg.

Initial speed of it: v = 2 m/s.

Coefficient of friction: μ = 0.14

Distance between the initial position and the spring: s = 3 m.

Kinetic energy of it at initial = 1/2 × 2 × 2² joule = 4 joule.

Work done against frictional force = μ×mg×s = 0.14  × 2 × 9.8 × 3 joule = 8.232 joule.

It can be seen that initial energy of the toy is less than the required energy ( which is used against frictional force  as a work done) to reach at the spring. So, the toy does not approach the spring.

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What are 3 examples of balanced force?

Answers

Answer:

Resting against a wall.

Lying down.

Aircraft in a steady-flight.

Two horses have hooves of about the same area. Horse A has a much bigger mass than horse B. How would the pressure that they produce on the ground be different?

Answers

The pressure will be different because of the difference in the masses of horse A and horse B.

Horse A will have greater pressure due to much bigger mass.

Who do horses have hooves?

In order for a horse to survive and operate, its hooves are necessary. Throughout a horse's lifetime, its hooves expand. Each foot of a horse has a single, solid hoof. The size of this might vary according on the breed, size, and running and jumping prowess of the horse.

Scholars have long disagreed on how animals—whose predecessors were dog-sized creatures with three or four toes—came to have only one hoof. According to a recent research, when horses grew bigger, one big toe was shown to be more resistant to bone stress than several smaller toes.

Thus, horse A will have greater pressure due to much bigger mass.

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5.112. moving moving wedge. a wedge with mass m rests on a frictionless, horizontal tabletop. a block with mass m is placed on the wedge (fig. p5.112a). there is no friction between the block and the wedge. the system is released from rest. (a) calculate the acceleration of the wedge and the horizontal and vertical components of the acceleration of the block. (b) do your answers to part (a) reduce to the correct results when m is very large? (c) as seen by a stationary observer, what is the shape of the trajectory of the block?

Answers

A moving wedge, wedge with mass m rests on a frictionless, horizontal tabletop. a block with mass m is placed on the wedge (fig. p5.112a). there is no friction between the block and the wedge. the system is released from rest. Acceleration of the wedge if the system is released from rest = (M+m)gcotQ.

Acceleration- Acceleration is defined as the rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing.

Therefore, the acceleration of the wedge from solution in the image, is (M+m)gcotQ.

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a wall of death rider is driving a mehran - a popular hatchback. the radius of the wall of death (or maut ka kuwa in the vernacular) is 5m. the top speed that his old mehran can get to is 80 km/h. what is the minimum coefficient of friction between rubber and wood that would keep our friend and his mehran from crashing down?

Answers

The minimum coefficient of friction needed to keep the car from crashing down is 16.3. That's mean the friction force between the tires and the surface of the wall of death must be at least 16.3 times greater than the normal force acting on the car.

The minimum coefficient of friction needed to keep the car from crashing down is determined by the forces acting on the car. When a car is driving in a circle, it is constantly being pulled outward by a force called centrifugal force. This force is equal to the mass of the car multiplied by the square of its speed, divided by the radius of the circle it is driving in. In order to keep the car from crashing, the friction force between the tires and the surface of the wall of death must be greater than or equal to the centrifugal force.

The formula for the minimum coefficient of friction needed is:

μ = Fcentrifugal / Fnormal

where μ is the coefficient of friction, Fcentrifugal is the centrifugal force acting on the car, and Fnormal is the normal force acting on the car.

To calculate the minimum coefficient of friction needed, you need to first calculate the centrifugal force acting on the car. The formula for this is:

Fcentrifugal = [tex]mv^2 / r[/tex]

where m is the mass of the car, v is the speed of the car, and r is the radius of the circle.

Plugging in the values from your question, the centrifugal force is:

Fcentrifugal = [tex](800 kg) * (80 km/h)^2 / (5 m)[/tex]

= 128,000 N

The normal force is equal to the weight of the car, which is the mass of the car multiplied by the acceleration due to gravity. The weight of the car is:

Fnormal = (800 kg) * (9.8 m/s²)

= 7,840 N

Plugging these values into the formula for the minimum coefficient of friction, we get:

μ = 128,000 N / 7,840 N

= 16.3

Thus, the minimum coefficient of friction is 16.3.

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was your test designed to do?
A. In order to increase the current flowing through the lightbulb, the team wanted to find a way to decrease voltage.
B. In order to reduce the current flowing through the lightbulb, the team wanted to find a way to increase voltage.
C. In order to increase the current flowing through the lightbulb, the team wanted to find a way to increase resistance.
D. In order to reduce the current flowing through the lightbulb, the team wanted to find a way to increase resistance.​

Answers

In order to reduce the current flowing through the lightbulb, the team wanted to find a way to increase resistance.​ Hence, option (D) is correct.

What is Ohm's law?

Ohm's law is one of the most fundamental and significant principles governing electrical circuits.

Under the assumption that all physical parameters and temperatures remain constant, Ohm's law asserts that the voltage across a conductor is directly proportional to the current flowing through it.

Mathematically, V = IR

Hence, The team was trying to figure out a technique to increase resistance at constant voltage supply in order to decrease the current flowing through the lightbulb.

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How do you write an inverse variation equation given X and Y?

Answers

The formula y=k x or x y=k represents an inverse variation. In other words, if there is a nonzero constant k such that x y=k or y=k x where x0, y0, y varies inversely as x.

The variation formula is either y = k/x or k = x y.

Replace with the supplied values to determine the value of k.

With the known value for k, rewrite the variation equation as y = k/x.

Find the unidentified by substituting the remaining values.

According to the expressions "y varies inversely as x" and "y is inversely proportionate to x," y decreases as x increases or vice versa. There are two translations for this idea. For some constant k, referred to as the constant of proportionality, y x = k. If the constant is desired, use this translation.

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16. Simplify the expression.(6 + 47) + (4 + 61)-10 - 1010 + 10i20110 - 10 3. Parkinson's disease is a condition that makes the neurotransmitter dopamine gradually disappear from one's brain region, the substantia nigra.truefalse Why did Gulliver go to Luggnagg? how many moles of ammonia could be obtained from a maximum of 5.0 moles of nitrogen -. Which statement best describes how the European Union has affectedrelations among its member states?A. It has reduced trade and increased political tensionsbetween them.B. It has made newer members such as Poland aseconomically powerful as older members such as Germanyand France.C. It has led to a loss of jobs among members with the mostdeveloped economies, such as Germany and theNetherlandsD. It has increased their economic interactions whilereducing the likelihood of war. If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle? The "fuel" in most combustion reactionsis a hydrocarbon. Using the examples inModel 2, write a description for theclassification of substances known ashydrocarbons. Evaluate the expression: 5 + 3 (5 - 2) The voice overshadows the piano in a German Lied. True or False The question and choices is in the pictureWill give brainliest and no links^^ At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch? What is the scale factor of the dilation? it is used to lift water from a well Which of the elements shown will form ions, what will be the charges of those ions, and why will they have those charges? What happens when the ordered pair (x,y) moves to the right? PLEASE HELP!! what was one new thing that you learned while dissecting a sheep eye Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7. 6.3-6.4 Grammar Practice L1Complete each sentence with the preterite form of a verb from parenthesis. Remember choose the correct endings from your 6.3 notes and it does help to know what the verb means from your vocabulary. Example: Jacob ______ (or, leer, ver) la pelcula con su novia. Answer = vioArely les __________ (bailar, comer, pagar) en efectivo a las vendedoras. *10 pointspagKairo _________ (comprar, leer, llegar) un buen libro en la bibliotecade la escuela. *5 pointsleoLogan y Tanner le ________ (escribir, ver, regalar) unas gafas de sol a Matt en la clase de espaol. *10 pointsCooper y yo ___________ (encontrar, llegar, or) tarde a la clase de mate. *5 pointsAyer, vosotras __________ (ensear, pagar, comer) en un restaurante muy elegante. *10 pointsMake the singular sentences plural and the plural sentences singular. Follow the model: Estas camisas son blancas. = Esta camisa es blanca. Careful to make sure verb and adjectives agree in number and gender.Aquellos sombreros son muy elegantes. *10 pointsEste abrigo es muy caro. *10 pointsEstas faldas son muy cortas. *10 pointsEstos cinturones son hermosos. *10 pointsEsos precios son muy buenos. *10 pointsEsta corbata hace juego con mi traje. *i need an acull answers plsssss Please help me!1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex2. Consider the feasible region in the xy-plane defined by the following linear equalities:X>=0Y>=0X= 4-X + 2Y Devin pushed a table 2 meters, using a force of 100 N. The table weighed 150 N. How do you calculate the work done by Devin? A. Multiply 150 by 2. B. Divide 100 by 2. C. Multiply 100 by 2. D. Divide 150 by 2.