what is third variable problem?

Answers

Answer 1

The third variable problem refers to the possibility that a correlation between two variables may be caused by a third variable that is related to both of them.

In research, it is common to find a correlation between two variables, but it is important to consider the possibility that another factor may be influencing the relationship between those variables. This is where the third variable problem arises.

For example, if researchers find a correlation between ice cream consumption and crime rates, it would be erroneous to conclude that eating ice cream causes crime. It is possible that a third variable, such as temperature, could be influencing both ice cream consumption and crime rates.

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Related Questions

A fully charged capacitor initially has an air gap and is disconnected from the battery. A dielectric material is inserted between the plates
What happen to the free charge at surface of the capacitor plates and the total charge free and bound at the surface of the capacitor plates?

Answers

The total charge (free and bound) at the surface of the capacitor plates will be equal to the initial charge on the capacitor, minus the amount of charge that has been transferred to the dielectric material.

What is the dielectric ?

A dielectric is an electrical insulator material which can be polarized by an electric field. It is a material that is used to increase the capacitance of an electrical circuit, allowing for a greater flow of electric current. Dielectrics are commonly used in capacitors, where the material separates two conducting plates, allowing a charge to build up between them. They are also used in electric motors, generators, and other electric components. Dielectrics are typically made from a variety of materials including glass, plastic, ceramic, and rubber.

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Two solid spheres, both of radius 5cm, carry identical total charges of 2μC. Sphere A is a good conductor.Sphere B is an insulator, and its charge is distributed uniformly throughout its volume.
How do the magnitudes of the electric fields they separately create at radius 4 cm compare?

Answers

The magnitudes of the electric fields they are separately create at the radius 4 cm is the correct option is C. EA = EB > 0.

Two solid spheres, both of the radius 5cm, they carry the identical total charges of the 2μC. Sphere A is the good conductor. Sphere B is an insulator, and the charge are distributed uniformly throughout the volume. Both the spheres are produce the identical fields at the outer locations, the like particles will do at the cores, because of the spherically symmetric charge distributions.

The magnitudes of the electric fields they are separately create at the radius 4 cm is EA = EB > 0.

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The 2.0 kg wood box slides down a vertical wood wall while you push on it at a 45 degree angle. What magnitude of force should you apply to cause the box to slide down at a constant speed?

Answers

To cause the box to slide down the wall at a constant speed, the net force acting on the box must be zero. This means that the force of gravity pulling the box down must be balanced by the frictional force between the box and the wall, and any additional force you apply.

What is frictional force?

Frictional force is a force that opposes motion between two surfaces that are in contact. It acts parallel to the surfaces and in the direction opposite to the direction of the force that would cause the object to slide. Frictional force is the result of the interaction of the microscopic roughness of the two surfaces and the molecular forces between them.

Friction has a variety of important practical applications, from helping us to grip objects and walk on surfaces, to making it possible for cars to drive on roads and for machines to operate smoothly. The magnitude of the frictional force depends on the nature of the two surfaces in contact, the force pressing them together, and the condition of the surfaces (e.g., whether they are dry, lubricated, etc.).

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A mass of 0. 30 kg is attached to a spring and is set into vibration with a period of 0. 24 s. What is the spring constant of the spring?.

Answers

The spring constant of the spring is 32.66 N/m.

What is a spring constant?

Spring Constant (K)

The force required for each unit of spring extension is now the definition of the spring constant. Calculating the amount of force necessary to bend the spring is simple when you know the spring constant.

Using Hooke's rule,

F = -KX

K = -F/ X ⇢ (1)

Equation (1) gives the spring constant, which is given in units of N/m (Newton per meter).

How to calculate the wavelength?

The spring constant (k) can be calculated using the formula:

k = (4π^2 * m) / T^2

where m is the mass of the object (0.30 kg) and T is the period of vibration (0.24 s).

Plugging in the values, we get:

k = (4 * π^2 * 0.30) / (0.24^2)

k = 32.66 N/m

So, the spring constant of the spring is 32.66 N/m.

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A car starts from rest on a curve with a radius of 150 m and tangential acceleration of 1.3 m/s2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 3.0 m/s2 ?

Answers

We can start by using the formula for tangential acceleration:

a_t = r * α

How to use tangential acceleration ?where a_t is the tangential acceleration, r is the radius of the curve, and α is the angular acceleration. Rearranging this equation, we get:

α = a_t / r = 1.3 m/s^2 / 150 m = 0.00867 rad/s^2

Next, we can use the formula for the magnitude of total acceleration:

a_total = √(a_t^2 + a_c^2)

where a_c is the centripetal acceleration. We can rearrange this equation to solve for a_c:

a_c = √(a_total^2 - a_t^2) = √(3.0^2 - 1.3^2) = 2.5 m/s^2

Now, we can use the formula for centripetal acceleration:

a_c = r * ω^2

where ω is the angular velocity. Rearranging this equation, we get:

ω = √(a_c / r) = √(2.5 m/s^2 / 150 m) = 0.1155 rad/s

Finally, we can use the formula for angular displacement:

θ= ω^2 * t / 2

where t is the time elapsed. Since the car starts from rest, we can use the formula for initial velocity and acceleration:

v_i = 0

a = a_t

to find the time it takes for the car to reach the required total acceleration of 3.0 m/s^2:

a = (v_f - v_i) / t

t = (v_f - v_i) / a

t = v_f / a

where v_f is the final velocity. Using the formula for final velocity and the fact that the car starts from rest, we get:

v_f^2 = 2 * a_t * θ

v_f = √(2 * a_t * θ)

t = √(2 * θ / a_t)

Substituting the values we have calculated, we get:

t = √(2 * θ / 1.3) = √(1.5385 * θ)

t = v_f / a = √(2 * a_t * θ) / a_t = √(2 * θ / 1.3)

Setting these two expressions for t equal to each other, we get:

√(1.5385 * θ) = √(2 * θ / 1.3)

Squaring both sides and solving for θ, we get:

θ = 4.89 radians

Therefore, the car will have traveled through an angle of 4.89 radians when the magnitude of its total acceleration is 3.0 m/s^2.

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The following statements are all true. Which one counts as an "exception to the rule" in being unusual for our solar system?
Venus does not have a moon.
Jupiter has a very small axis tilt.
The diameter of Earth's Moon is about 1/4 that of Earth.
Saturn has no solid surface.

Answers

The statement that counts as an "exception to the rule" in being unusual for our solar system is: "Saturn has no solid surface." Option D is the correct answer.

What is  solar system?

This refers to  a group that includes one or more suns along with planets, moons, asteroids, comets, and other extraterrestrial object. Our solar system includes one sun and nine planets.

There are nine planets in the solar system. The four inner terrestrial planets are Mercury, Venus, Earth, and Mars, all of which consist mainly of rock. The four outer planets are Jupiter, Saturn, Neptune, and Uranus, giant planets that consist mainly of either gases or ice and Pluto.

While other gas giants in our solar system also lack a solid surface, such as Jupiter, Uranus, and Neptune, it is unusual for a planet to not have a solid surface. The majority of the planets and moons in our solar system have a solid surface, so Saturn's lack of one is exceptional.

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Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV. What can you conclude about the electron energy levels in mercury atoms?

A.
There must be energy levels with a difference of about 4 eV.
B.
There must be energy levels with a difference of about 2 eV.
C.
There must be energy levels with a difference of about 1 eV.
D.
There must be energy levels with no difference in energies.

Answers

Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

What is the absorption spectrum?

Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, which indicates that the electrons in the mercury atoms are absorbing photons with an energy equal to the energy difference between two energy levels in the atoms.

Hence, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

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What is the smallest unit of an element that retains the elements properties?

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"An atom is the smallest unit of matter retaining the properties of elements."

An atom is a unit of matter that defines a chemical element inextricably.

Atoms are made up of a core nucleus that is surrounded by one or more negatively charged electrons. The positively charged nucleus itself houses one or more protons and neutrons, which are large, heavy particles.

The atoms in a molecule retain their original properties when we break them down into their component parts.

The atoms neon and hydrogen are notable examples of. Atoms have a neutral electric charge, which is zero.

They are indestructible particles that cannot be generated or destroyed by chemical processes.

Therefore, the smallest unit of matter that can retain properties of elements is called an atom.

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What are the radiation types in order from lowest to highest energy: microwaves, ultraviolet light, red light, and gamma rays?

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The parts of the electromagnetic are designated as follows, from to the lowest energy: infrared photons, X-rays, ultraviolet light, visible light, infrared ( ir, and radio waves.

What's the ideal lifespan of a microwave?

With normal use, the typical microwave oven lasts around seven years, and significantly less with heavy use and bad maintenance. As they become more dependent on it to reheat snacks and leftovers or to defrost meals, a large family may discover that they need to replace their appliance every four to five years.

Convection or solitary microwave: Which is better?

A convection microwave includes extra characteristics in addition to being able to carry out all the tasks that a standalone microwave can. Foods can be grilled, baked, roasted, browned, and even crisped in convection microwaves.

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the blood pressure in millimeters was measured for a large sample of people. the average pressure is 140 mm, and the sd of the measurements is 20 mm. the histogram looks reasonably like a normal curve. use the normal curve to estimate the following percentages. choose the answer that is closest to being correct.a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%

Answers

The percentage of people with blood pressure between 120 mm and 160 mm is approximately(d) 78.8%.

To estimate the percentage of people with blood pressure below 120 mm, we need to calculate the z-score for that value:

z = (120 - 140) / 20 = -1

Using a standard normal table, we can find the proportion of the distribution below a z-score of -1, which is approximately 0.1587. However, since we want the percentage below 120 mm, we need to multiply this proportion by 100 and round to one decimal place:

0.1587 x 100 ≈ 15.9%

Therefore, the percentage of people with blood pressure below 120 mm is approximately 15.9%.

To estimate the percentage of people with blood pressure between 120 mm and 160 mm, we need to calculate the z-scores for both values:

z1 = (120 - 140) / 20 = -1

z2 = (160 - 140) / 20 = 1

Using a standard normal table, we can find the proportion of the distribution between these two z-scores, which is approximately 0.7887. To find the percentage between 120 mm and 160 mm, we need to multiply this proportion by 100 and round to one decimal place:

0.7887 x 100 ≈ 78.8%

Therefore, the percentage of people with blood pressure between 120 mm and 160 mm is approximately 78.8%.

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Ionic bonds include (more than 1 correct answer)

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Ionic bonds include the transfer of electrons between atoms, the formation of ions with opposite charges, the attraction between positively and negatively charged ions, and the formation of a lattice structure in ionic compounds

Ionic bonds are a type of chemical bond that involves the transfer of electrons from one atom to another, resulting in the formation of ions with opposite charges. These ions are then attracted to each other due to their opposite charges, forming an ionic bond. Ionic compounds typically have a lattice structure, in which the ions are arranged in a repeating pattern. Example: NaCl, MgO, CaF2, Li2O, AlF3,

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How do you know if a resistor is in series or parallel?

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When resistance is linked in series with other resistance, as opposed to parallel, where the same nodes are connected in the same directions.

When two nodes share terminal connections, resistors are said to be in parallel. It makes no difference whether the resistors are drawn horizontally or vertically. All of the parts of a series circuit are attached end to end, creating a single route for current flow. All of the components of a parallel circuit are linked across one another to create precisely two sets of electrically coupled points.

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why do most tornadoes occur in the late afternoon?

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Most tornadoes occur in the late afternoon because warm, moist air from the Gulf of Mexico collides with cooler air from the Rocky Mountains. This combination of warm and cool air creates an unstable atmosphere.

What is the atmosphere?

The atmosphere is a layer of gases that surrounds Earth and is held in place by the planet’s gravity. It is composed of roughly 78% nitrogen, 21% oxygen, and 1% other gases including argon, carbon dioxide, and water vapor. The atmosphere serves many important functions including providing oxygen for living organisms, maintaining a livable temperature, and blocking harmful radiation from the sun. It also helps to regulate global climate, redistribute heat energy from the equator to the poles, and provide wind and precipitation patterns. The atmosphere also helps to protect living organisms from meteors and other objects that may enter Earth’s atmosphere.

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when two vehicles collide, momentum is conserved _______.

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The impact maintains momentum. Any contact between two objects that takes place in an isolated system preserves momentum.

What does momentum represent in actual life?

Mass in motion is the definition of momentum. All objects have mass, thus if an object is moving, it has momentum and its mass is in motion. How much and how quickly something is moving affect how much momentum it has.

In one sentence, what is momentum?

We gauge the motion of mass using momentum. Any thing in motion will have momentum. The object's momentum is determined by its mass multiplied by its velocity, according to the laws of physics. The mass and velocity of the parameters both have an impact on momentum.

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What is the difference type of browning

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There are two important forms of browning, enzymatic and nonenzymatic.

This color improvement is commonly unwanted, but with information in the form of response worried, it's far easier to train session techniques for controlling this modification.

In physics, nonenzymatic refers to a chemical or physical process that occurs without the involvement of an enzyme. Enzymes are biological catalysts that speed up chemical reactions, and they are important for many biological processes, such as digestion and metabolism.

Nonenzymatic processes can occur in a variety of contexts, such as in the formation of chemical compounds or the transfer of energy. For example, the formation of rust on iron is a nonenzymatic process that occurs when iron reacts with oxygen in the presence of water. Similarly, the transfer of heat energy between two objects is a nonenzymatic process that occurs through conduction, convection, or radiation.

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this planet is the smallest of the inner planets and looks very much like earth’s moon called?

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"The planet which is smallest of the inner planets and looks very much like earth’s moon is called mercury."

Mercury is the smallest of the terrestrial planets and the innermost planet, coming the closest to our Sun.

The planets Mercury, Venus, Earth, and Mars are referred described as terrestrial due to their compact, rocky surfaces similar to Earth's terra firma. The terrestrial planets are the four that are closest to the sun.

For instance, the inner planets are substantially smaller than the outer planets in terms of size. This is because the inner planets are solid and more compact, whereas the outer planets are gaseous. As a result, the inner planets have a higher density than the outer planets.

Earth is the largest, densest, and third inner planet out of the four. It is the only planet in the solar system that currently possesses liquid water, making it the only one that can support life.

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Calculate acceleration: mr. Barrentine's dog, razorback was at rest and ran 40 meters to catch a rabbit. Razorback ran the 40m in 8 seconds. What is his acceleration?.

Answers

This makes sense as he was able to reach the rabbit in 8 seconds.

What is accelaration?

Acceleration is the rate if we can object increase is speed velocity of rate of change it is the rate of change of velocity of a time at the rate of change of the position of an object acceleration can be either positive when the speed of an object increasing a negative in the speed of the object is decreasing.

Acceleration is the rate of change in velocity over time and can be calculated using the equation a=v/t, where a is acceleration, v is the change in velocity (in this case, 40 m/s) and t is the time taken (8 seconds). Therefore, razorback's acceleration is 5 m/s^2. This means razorback's velocity was increasing by 5 m/s every second.

To put this into perspective, it means razorback was running at 10 m/s after 4 seconds and at 15 m/s after 6 seconds. This makes sense as he was able to reach the rabbit in 8 seconds.

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A student completes a PET experiment using chloroplasts from leaves lacking pigments that absorb in the 550 nm to 600 nm wavelength range. Which color of light should they avoid in their experiment if they want to measure activity at different wavelengths? O Blue O Orange O Yellow O Red O Violet

Answers

The student should avoid blue, orange, yellow, and red light in their experiment.

The student should avoid blue, orange, yellow, and red light in their experiment if they want to measure activity at different wavelengths because these colors are absorbed in the 550 nm to 600 nm wavelength range. This means that the energy from these colors is absorbed by the chloroplasts and cannot be used for photosynthesis. Violet light, on the other hand, is not absorbed in this wavelength range so it can be used by the chloroplasts for photosynthesis. Therefore, it should not be avoided.

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why do we want the water to stabilize at the boiling point before removing the metal object? explain

Answers

The metal item is heated evenly and fully by allowing the water to stabilise, guaranteeing that any heating effects are realised.

Depending on the metal's thermal conductivity and specific heat capacity, when a metal item is submerged in boiling water, it warms up and may even reach a temperature greater than the boiling point of water.

The metal object's high temperature can cause the water around its surface to evaporate quickly when it is abruptly withdrawn from the boiling water. This can result in bubbles that can burst forcefully and cause splattering.

Burns or other damage may arise from this.

The metal and the water are at the same temperature and there is no longer a temperature gradient between them when the water is allowed to reach its boiling point before the metal item is removed.

As a result, there will be less severe water vaporisation, which lowers the possibility of splattering and harm.

Additionally, letting the water to stabilise guarantees that any intended effects of the heating are realised and that the metal item is heated evenly and fully.

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In the figure the battery has a potential difference of V = 10.0 V and the five capacitors each have a capacitance of 8.60 µF. What is the charge on (a) capacitor 1 and (b) capacitor 2?

Answers

A battery is used to charge a parallel plate capacitive with capacitance C to a voltage differential V. Similar charge is applied to a voltage differential by a second capacitor with a capacitance of 2 C. 2

What distinguishes current and voltage from one another?

A power transfer is possible in an electric circuit. Voltage measures the amount of energy transmitted per unit of charge, while current measures the rate of charge flow. We can add the following definitions to the power equation: Voltage times current are the formula for electrical power. according to watts

What does the term "voltage" mean?

The "pressure" that pushes electricity is referred to as voltage. A voltage is measured in volts (V), and greater voltages result in more electricity flowing to an electronic equipment. However, electronic gadgets must work within a range of voltages since too much voltage might harm their circuitry.

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If the velocities of individual neutrons are known to within 2. 0% of this value, what is the uncertainty in the position of one of them?.

Answers

The uncertainty in one neutron's position is 2.0% if the individual neutrons' velocities are known to within 2.0% of this value.

Describe neutrons.

Each atom's nucleus contains two subatomic particles called neutrons and protons. Hydrogen is the sole exception, as it has a single proton in its nucleus. In comparison to positively charged protons, neutrons are slightly heavier and have an electric charge that is neither positive nor negative.

One up quark and two down quarks make up neutrons. One of the four fundamental forces, the "strong nuclear force," keeps the nucleus together. Positively charged protons have a tendency to repel one another, but the strong force prevents this from happening.

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T/F perception of color is determined by the wavelength of light that an object reflects.

Answers

Answer:

True

Explanation:

The color an object reflects is what we see. What an object absorbs is what we do not see.

When a boxer is moving away from a punch, the force experienced is reduced because .

Answers

When a boxer is moving away from a punch, the force experienced is reduced because the time of impact is increased.

What is force?

The force of a punch is a product of mass and acceleration. The mass of the boxer and the fist of the opponent are constant, so the acceleration of the punch is also constant. However, if the boxer moves away from the punch, the distance that the fist has to travel to make contact with the boxer's body increases. As a result, the time of impact is longer, and the force is spread out over a longer period. This means that the force of the punch is reduced and is less likely to cause injury or knock the boxer down.

In addition, moving away from a punch can also reduce the accuracy of the punch, as the opponent's punch may miss its intended target due to the change in distance between the two boxers.

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Four identical springs each have the same spring constant k. If these four springs are attached end to end forming a spring four times the length of one of the original springs, what will be the spring constant of the combination?.

Answers

The arrangement of the springs is in series if they are connected end to end. The forces for a sequence of springs are additive.

F1 = k1(x1) for spring 1.

F2 = k2(x2) in spring 2.

F3 = k3(x3) in spring 1.

Total Force is k1(x1)+k2(x2)+k3(x3).

Total Force is equal to (k1+k2+k3)(x,total).

The overall force acting on it is calculated by multiplying the whole length of elongation by the sum of the spring constants.

What use do springs serve?

A spring is an elastic object that can store mechanical energy and release it in response to the removal of an opposing force. Springs may be the solution if you need to exert force in order to move something or keep it still without the use of an engine or other powered device.

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From the way that lunar eclipses happen, the Ancient Greeks were able to calculate the distance from the ____ to the ____.

Answers

From the way that lunar eclipses happen, the Ancient Greeks were able to calculate the distance from the earth to the moon

How did the ancient Greeks gauge the size of the Moon using eclipses?

Greek astronomers discovered that the Earth's shadow was around 2.5 times the apparent size of the Moon and lasted three hours from the beginning to the end by following its path over the Moon.

Eclipses of the sun and the moon happen equally often. Because Earth's shadow on the Moon during a lunar eclipse is far greater than the shadow the Moon throws on Earth during a solar eclipse, lunar eclipses are more widely seen. As a result, a lunar eclipse is more likely to be seen than a solar eclipse.

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True/False. if the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

Answers

The given statement if the electric flux through a closed surface is zero, the electric field at points on that surface must be zero is false.

If the electric flux through a closed surface is zero, it does not necessarily mean that the electric field at points on that surface must be zero. The electric flux is a measure of the flow of electric field lines through a surface and is determined by both the magnitude and direction of the electric field. The electric field at points on the surface could be non-zero, but if it is directed perpendicular to the surface, the electric flux will still be zero.

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Straight line distance between the initial position and final position of any body is known as ​

Answers

The displacement of any body is the difference along a straight line between its original location and its end position.

Simply said, displacement is the smallest distance any item has travelled.Drawing a straight line from the object's original location to its end position will reveal it.The displacement is stated to be zero if an object's beginning and end positions are identical even after travelling x km. It is a vector quantity which has magnitude as well as direction.It is usually represented by a vector arrow pointing from the initial position to the final position of the body. This distance can be measured using a ruler or other measuring device.

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A 5kg traveling at 4 m/s slams into a 1kg object and sticks to it. What will the final velocity of the two objects be?

Answers

Answer:

Below

Explanation:

Using conservation of momentum

mv = mv

5(4)  + 1(0)   = (4+1) v    

                ( this assumes the 1 kg mass was not moving before being struck)

20  = 5 v

v = 4 m/s          

A bus can travel 63 miles in 1. 4 hours. If its speed is increased by 10 mph, how far can the bus travel in 4 hours?.

Answers

The distance traveled by bus after its speed increased by 10 mph is 220 miles.

Given that, the bus can travel 63 miles in 1.4 hours.

The speed of the bus is:

speed = 63/1.4 mph

speed = 45 mph

Now, the speed of the bus is increased by 10 mph, therefore, the new speed is:

45 + 10= 55 mph

The distance traveled in 4 hours with a speed of 55mph is:

d = 4 ×55 miles

d = 220 miles

Hence, the distance traveled by bus after its speed increased by 10 mph is 220 miles.

What is speed?

Speed is the amount of distance travelled in a given amount of time.

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what temperature is ideal for disease-producing pathogens to grow?

Answers

The temperature at which disease-producing pathogens grow best depends on the specific pathogen.

However, many pathogenic bacteria grow best at temperatures between 20°C and 45°C (68°F to 113°F). This range is often referred to as the "danger zone" for food safety, as it is also the range at which foodborne pathogens can grow rapidly in perishable foods. Some pathogenic bacteria, such as those that cause food poisoning, can grow at temperatures as low as 5°C (41°F) or as high as 60°C (140°F), although their growth rates may be slower outside the optimal range. It's important to note that different pathogens have different optimal growth conditions, and other factors such as moisture and pH can also affect their growth.

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Other Questions
find the area of the heptagon formed in the complex plane where the veritices are the roots of x^7 x^6 x^5 x^4 x^3 x^2 x 1 Range and domain ??{(-3,0), (3,-7), (-1,-6), (-1,-5), (-5, -1)} is the forehead critical in sensing the presence of cold water the basic idea of a business that explains which customer needs will be met, how the functions and operations will be organized, and how money will flow in and out is called a business model. T/F which of the following did the federalists argue would protect the individual liberties and states' rights that the anti-federalists were worried about? Each exercise session should contain only three components: warm-up, exercise activity, and cool-down. Controlled stretching is designed to increase flexibility. A good warm-up consists of only two parts. The largest portion of time spent during the workout session should be devoted to the cool-down. seans mother buys 3/4 lb of gouda cheese and 1/3lb less of chedder cheese. how many pounds did she buy altogether How to Build a Personal Brand? which of the following developments from the period 1450-1750 c.e. most directly undid the trade patterns mentioned in the first paragraph? group of answer choices the portuguese conquest of india the establishment of the tokugawa shogunate the spanish conquest of mexico the eastward expansion of russia the area of a triangle is 27 square feet, its hiehg tis three times the length of its base, find the ehiught and base of the triangle Listen A theorist with a(n) perspective would be most likely to focus on the interaction between a changing environmental context and a person who is producing changes in the environment. operant conditioning discontinuity contextual psychoanalytic 4. Please follow the instructions and answer fully (in french) How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin? round the answer to the nearest hundredth if necessary. Original (l)added (l)new (l)amount of glycerin0. 96x0. 96 + xamount of solution12x12 + x0. 18 liter1. 14 liters1. 92 liters2. 10 liters. In a startling turn of events that had crime fighters everywhere disappointed, Batman gave up his crime fighting career and moved to Detroit, Michigan, to start mass producing Batmobiles in the GM plants. Batman did this for many years.When he was 70 years old, he married Catwoman who was 35 years old. They lived happily for a few years. When Batman was 77, he was still in good health, but his memory did begin to weaken and he sometimes found himself unaware of his surroundings.A few weeks after the onset of these symptoms, Catwoman took him to a lawyer's office. During a meeting with Riddler the lawyer, Catwoman convinced Batman to re-do his will. Under his old will, all of Batman's money was to go to local crime fighting organizations. Catwoman convinced Batman to change his will to give all his money and property to Catwoman.At first, Batman was reluctant to change his will, but Catwoman pressed and pressed. At one point, she threatened to leave him unless he changed his will. She also told Batman that he had promised to change his will to include her. Although Batman had no recollection of saying that, he figured that it was just his faulty memory and he believed what Catwoman had told him. In fact, Catwoman was lying and Batman had never made any such promise. Nevertheless, Batman caved and changed his will to suit Catwoman's wishes.2 years later, Batman died of a heart attack brought on by too much stress when he was younger. Catwoman moved for the will to be admitted to probate. The organizational beneficiaries of Batman's first will appeared in court to argue that the second will should be invalidated because Catwoman exerted undue and unfair influence over Batman in the process of re-doing the will. Who will win under Michigan law. ______provides the instructions that tell a computer what to do. A) SoftwareB) HardwareC) SpamD) Data mining A grain silo has a cylindrical shape. Its radius is 7.5ft, and its height is 33ft. What is the volume of the silo? Use the value 3.14 for , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. hWhat reasoning leads Justice Story to the conclusion that the Africansshould be freed?A. Slavery is outlawed in New York, so the enslaved passengers are free.B. Liberty is more important than a law or treaty.C. The treaty cannot allow Spanish subjects to be held by other parties.OD. Africans were kidnapped and unlawfully held, therefore they should befreed. Jess is making some fruit baskets each fruit basket weights 67 ounces right inside and equations using ex as the bourbon to represent one apple and get stuck try drawing a diagram each basket contains six identical wheat apples and 7 ounces of strawberries.A. 6 + 7a = 67 a= 8.7B. 6(a+7) = 67 a= 4.16C. 6a+7=67 a= 10 Which energy source contributes to the greatest emissions of gases in the environment during the energy production process?-bio fuels-fossil fuels-nuclear energy-solar energy The category of expenditure that accounts for the highest share of GDP in the United States is _________.