Total distance traveled from position function is found by:
Differentiating the position function to get velocity function.Integrating the velocity function under proper limits.Example : Find the total distance traveled for a particle traveling in a horizontal motion from t = 0 to t = 5 seconds according to the position function:
s(t) = 8t^2 – 4t.
Step 1: Find the velocity function. The velocity function is the derivative of the position function. So, to find the velocity function you need to differentiate s(t) = 4t^2 – 2t, using the power rule and derivative of a constant rule:v(t) = 16t – 4
Step 2: Set the velocity function to zero, then solve, to find where the velocity function changes direction:v(t) = 16t – 4 = 0
16t – 4 (+ 4) = 0 (+ 4)
16t(/16) = 4 (/16)
t = 4/16 = 1/4
Step 3: Solve the position function for the starting and ending interval values (which are 0 and 5, according to the question), and any t-values you found in step 2:s(0) = 8(0)^2 – 4(0) = 0.
s(1/4) = 8(¼)^2 – 4(1/4) = -½
s(5) = 8(5)^2 – 4(5) = 180.
Step 4: Find the distance traveled between each point. These are vectors, so we have to use absolute values to find the distance:Between 0 and -½, distance = |-½ – 0| = ½ & Between -½ and 180, distance = |180 – (-½)| = 180½
Step 5: Add your values from Step 4 together to find the total distance traveled.½ + 180 ½ = 181
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How many moles are in 10g of o2?.
As a result, 10 g of oxygen gas contains 0.3125 moles of oxygen.
One mole of oxygen gas is equivalent to one gram of molecules. As a result, one mole of O2 gas is equal to one gram of oxygen molecules. O2 has a molecular mass of 32 grams. Its volume at STP is 22.4 L; its molar quantity is around 8 L, according to our calculations. In 10.0 g of O2, there are 1.51 x 10^23 molecules of O2.
The symbol for the unit is mol.
The number of moles formula is written as follows.
Here : The formula for moles is as follows:
= Mass of material / Mass of one mole equals the number of moles.
= 10/ 1.51 x 10^23
= 0.3125
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What is the most accurate way to measure torque?.
A dynamometer, or "dyno" test, is the most common method for measuring an engine's torque and power. This test is typically performed by connecting an engine's output shaft to a resistive load setup.
What is torque?Torque is a force that can cause an object to rotate around an axis. In the same way that force causes an object to accelerate in linear kinematics, torque causes an object to acquire angular acceleration. Torque is measured as a vector quantity. Torque is a rotational or twisting force expressed as a force. Vehicle engines generate torque by rotating about an axis. It can be thought of as a vehicle's strength. Torque propels a sports car from 0 to 60 kmph in seconds. Torque is also what propels large trucks hauling heavy loads.
Here,
The most common method for measuring an engine's torque and power is with a dynamometer, also known as a "dyno" test. Typically, this test is carried out by connecting an engine's output shaft to a resistive load setup.
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Why is total momentum zero?.
Because momentum is a vector, a system's total momentum can be zero if there are multiple masses. A system of two objects with the same magnitude of momentum and moving directly toward one another, for example, will have a total momentum of zero.
What is momentum?The quantity of motion of the body is defined as momentum. It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion. Momentum is the amount of motion of a moving body, calculated as the product of its mass and velocity. Its formula is mass velocity.
Here,
Because momentum is a vector, the total momentum of a system can be zero if there are multiple masses. A system consisting of two objects with the same magnitude of momentum and moving in the same direction, for example, will have a total momentum of zero.
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Which statement best describes the gravitational force of an object? (1 point)
The farther away an object is, the greater its
ravitational force will be
The greater the object's mass, the less its gravitational force will be.
O The greater the object's mass and the closer It is, the greater itS gravitational force.
O The object only has gravitational force when it is on the surface of a massive body, such as Earth.
The greater the objects mass, and closer it is,the greater its gravitational force will be is the statement that best describe the gravitational force of an object.
According to the Newtons Law of Gravitation states that the gravitational force between two objects is directly proportional to the product of two objects masses. And inversely proportional to the square of the distance between two objects.
F=G(m1*m2/r*r)
F= force
G= gravitational constant
m1,m2= mass of object
r= distance between two masses.
Newton formula to measure gravitational force.
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A sailboat and its crew have a mass of 655kg. If the force on the boat is 895N, what is its acceleration?
To calculate the acceleration of the sailboat, we need to use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma).
Given that the force on the boat is 895N and the mass of the boat and crew is 655kg, we can rearrange the equation as follows:
a = F / m
where a = acceleration, F = force, and m = mass.
Plugging in the known values, we get:
a = 895N / 655kg
So, the acceleration of the sailboat is approximately 1.37 m/s².
It's important to note that this is only an approximation of the acceleration as the force acting on the sailboat may be subject to change due to wind, water currents, etc. This equation does not take into account the resistance of the water, which is also a force that will act on the boat and will affect its acceleration.
The acceleration of the sailboat is 1.37 m/s² if its crew has a mass of 655kg and the force on the boat is 895N.
According to Newton's Second Law of Motion, acceleration (gaining speed) happens when a force acts on a mass (object). Force is a product of mass and acceleration. An object with a mass changes its velocity in response to a push or pull.
Force is an external agent that has the power to alter the resting or moving state of a body. The measurement of a change in an object's velocity is called acceleration.
The acceleration of the sailboat can be calculated using the formula: acceleration = force /mass
In this case, the force is 895 N and the mass is 655 kg, so the acceleration would be:
Acceleration = 895 N / 655 kg = 1.37 m/s²
Hence we can say the acceleration is 1.37 m/s² if its crew has a mass of 655kg and the force on the boat is 895N.
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What are the x / y-components? I'd also like a step-by-step explanation please.
The x and y component of the vector are -18.32 m and 3.23 m respectively.
What are the x and y components of the vector?The x and y component of the vector is calculated by applying the following formula.
Bx = B cosθ
By = B sinθ
where;
B is the magnitude of the vectorBx is the x componentBy is the y componentθ is the angle of the vector measured above x axisThe vector is located in negative x direction but positive y direction.
The angle of the vector from x axis = 90⁰ - 80⁰ = 10⁰
Bx = B cosθ = -18.6 m x cos ( 10 ) = -18.32 m
By = B sinθ = 18.6 m x sin ( 10 ) = 3.23 m
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There are 2 charges (3 µC and 4 µC) located at (-4 cm, 0) and (4 cm, 0), respectively. A. Determine the magnitude and direction of the electric field at (8 cm, 0). B. Determine the magnitude and direction of the electric field at (0, 8 cm)
The magnitude and direction of the electric field at (0, 8 cm) is 7 µC downwards and towards the positive charge.
The electric field at (8 cm, 0) can be calculated using Coulomb’s law. This law states that the electric field is equal to the charge multiplied by the inverse of the square of the distance between the two charges.
This gives us a magnitude of E = (3 µC + 4 µC) / (8 cm)^2 = (7 µC) / (64 cm^2).
The direction of the electric field is from the negative charge to the positive charge.
The electric field at (0, 8 cm) can be calculated by using the same equation as for the electric field at (8 cm, 0). This gives us a magnitude of E = (3 µC + 4 µC) / (8 cm)^2 = (7 µC) / (64 cm^2).
However, the direction of the electric field at this point is different. At (0, 8 cm) the electric field has a vertical component and a horizontal component. The vertical component is downward, as this point is closer to the negative charge, and the horizontal component is towards the positive charge.
The magnitude and direction of the electric field at (0, 8 cm) is 7 µC downwards and towards the positive charge.
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What is the formula for force and momentum change?.
The formula F t = p expresses the relationship between a force and the time at which it acts to alter the momentum of an object, where F is the force acting, t is the time at which the force acts, and p is the change in momentum.
What exactly is force and momentum change?Force (F) equals the change in momentum (P) divided by the change in time (t). Furthermore, the change in momentum (P) is equal to the impulse (J). Momentum and impulse are measured in the same units (kg*m/s or N*s).
According to Newton's second law, if a constant force operates on a particle for a particular period, the product of force and time interval (the impulse) equals the change.
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Can latency be removed?.
Latency cannot be completely removed.
Latency it is the inherent delay caused by the physical distance that data has to travel and the time taken for the data to be processed by the various devices and networks it passes through. However, latency can be minimized.
There are several ways to minimize latency, such as:
Using faster network devices such as switches and routersUsing a Content Delivery Network (CDN)Optimizing the routing of data packetsUtilizing technologies such as edge computingReducing the number of hops that data packets have to takeUsing low-latency protocolsUsing hardware and software that are designed to minimize latency.It is worth noting that minimizing latency is not always possible or practical, depending on the distance between the sender and receiver, the number of devices and networks involved and the complexity of the data being transmitted.
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What is the value of 1 newton in KG?.
A robot moves from point A to point B following the path shown in the diagram below. What is the robot's displacement when it reaches point B?
Answer: 3m
Explanation: if this is the educake question with 5m,3m,5m you should get 3m for your answer because Displacement is the shortest distance between start and finish locations.
What is the total pressure inside the tube assuming the volume of the tube remains constant?.
Answer :Total pressure = 7293.2 torr or 9.60 atm
What is volume ?
-- Volume is a measure of three-dimensional space.
-- It is often quantified numerically using SI derived units or by various imperial or US customary units.
-- The definition of length is interrelated with volume.
Total pressure = partial pressure of nitrogen + partial pressure of oxygen
The partial pressure due to nitrogen is determined using the equation of Gay-Lussac's law: P₁/T₁=P₂/T₂
P₁ = 760 torr = 1atm, T₁ = 28∘C = (273+28)K = 301k, P₂ = ?, T₂ = 310∘C =(310+273)K = 583K
P₂ = P₁ T₂/ T₁
P₂ = 760 * 583 / 301 = 1472.03 torr
The pressure due to Oxygen gas produced is calculated thus:
Balanced equation of the decomposition of Ag₂O at s.t.p. is as follows;
2Ag₂O ----> 4Ag + O₂(g)
2 moles of Ag₂O produces 1 mole of O₂
molar mass of Ag₂O = (2*108 + 16)g = 232g/mol
molar volume of gas at s.t.p. = 22.4L
2*232g i.e. 464g of Ag₂O produces 22.4L of O₂
5.57g of Ag₂O will produce 5.57g*22.4L/464g = 0.269L or 269mL of O₂
Using the General gas equation P₁V₁/T₁=P₂V₂/T₂
P₁ = 1atm = 760 torr, V₁ = 269mL, T₁=273K, P₂ = ?, V₂= 75mL, T₂ = 583K
P₂ = P₁V₁T₂/V₂T₁
P₂ = 760*269*583 / 75*273
P₂ = 5821.17 torr
Total pressure = (1472.03 + 5821.17) torr.
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What is the probability that a random sample of N 45 oil changes results in a sample mean time less than 10 minutes?.
A random sample of N 45 oil changes has a 30% chance of taking less than 10 minutes to complete, according to the sample mean time.
Given that,
mean =
= 16.2 minutes
standard deviation =[tex]\sigma[/tex] = 3.3 minutes
n = 45
The sample size needs to be greater than or equal to 30. [tex]\mu[/tex]
A sample mean is a data set average. The sample mean can be used to compute a data set's central tendency, standard deviation, and variance. The sample mean can be used to compute population averages, among other things.
It is as simple as adding up the number of items in a sample set and then dividing that total by the number of items in the sample set to calculate the sample mean. The following formula can be used to calculate the sample mean using spreadsheet software and calculators:
Here, x is the sample mean, which tells us to add, xi is the total number of X-values, and n is the number of items in the data set.
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What type of plate boundary is formed between two plates sliding past each other
Between two plates that are sliding past one another, a transform plate boundary forms.
Transform plate boundary: what is it?
A vast region known as the transform plate boundary forms as the Pacific Plate moves northwesterly past the North American Plate. To create a transform plate border, two plates can move past one another horizontally. The San Andreas Fault is a well-known transform plate boundary that produces numerous earthquakes in California. One tectonic plate's boundary with the plates surrounding it can take many different shapes. When tectonic plates pass one another horizontally along strike-slip or transform faults, transform boundaries are created. There are enormous fractures or cracks called strike-slip faults where the transform boundary movement occurs.To know more about transform plate boundary refer to:
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What is the output of following circuit
Answer: atmosphesracicallycongenial thats the answer write that to your paper
Explanation:output is an intelligent honor to know the science subjecsts and many more than the circuit
The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function. Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams? round to the nearest hundredth of an inch. And ; inches and ; inches and ; inches and ; inches.
The system of equations that can be used to represent the radius of the mass of the cylinder is 11,000 grams is m = M(r) × π × r².
What is the formula for a cylinder's radius?We can calculate the radius of the cylinder using the formula for cylinder volume. Cylinder radii (r) = √(V / π × h), where V denotes a cylinder's volume, h denotes its height, and (Pi) denotes a mathematical constant with a roughly 3.14 value.
The radius of a barium cylinder with a height of 2 inches determines the mass of the cylinder, according to the function M(r) = 7.18872.
The following formula determines the cylinder's mass,
m = M(r) × π × r²
Substitute, the given terms
11000 = 7.18872 × 3.14 × r²
r = 22.06 inches.
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Complete question is " The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the
function M(r) = 7.18872.
Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams?
Round to the nearest hundredth of an inch".
Answer:
It is C on edge
Explanation:
Took the test and got it right R = 22.07
What is the weight of the object if the acceleration due to gravity g is 9. 8 m s2?.
The weight of the object is 98 kg.m/s².
We are given that,
Acceleration due to gravity = g = 9.8m/s²
Mass of the object = m = 10 kg
An object's weight is calculated by multiplying its mass by the gravitational acceleration. To get a body's exact weight on a specific gravity field, apply the weight formula. Any mass that experiences weight does so because of gravity. The SI unit of weight is the Newton. The symbol for weight is W. Depending on the body's sensation of gravity, weight may change. The following are the basic weight-finding formulas:
W = mg (Newton),
Where W is the object's weight in Newton, m is its mass in kilogrammes, and g is its gravitational acceleration. The value of g on earth is 9.8 m/s².
W = 9.8m/s²× 10kg
W = 98 kg.m/s²
The complete question is,
The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s²). If an object’s mass is m=10. kg, what is its weight?
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Each multi wire branch circuit shall be provided with a means that will simultaneously disconnect all ungrounded conductors at the same point where the branch circuit originates.
Note for information: For details on the usage of single-pole circuit breakers as the disconnecting mechanism, see 240.15(B).
In order to simultaneously disconnect all ungrounded wires at the branch circuit's origin, each multiwire branch circuit must be equipped with this capability.
Branch circuits that fall within this article's definition must be allowed as multiwire circuits. It is okay to think of a multiwire circuit as having numerous circuits. The same panelboard or other similar distribution equipment must be the source of all wires in a multiwire branch circuit.
Each multiwire branch circuit must group its grounded and ungrounded circuit cables in accordance with 200.4. (B).
All loads must be supplied by line-to-neutral multiwire branch circuits.
The first exception is a multiwire branch circuit that serves a single piece of used equipment.
Exception No. 2: The multiwire branch circuit's ungrounded wires must all be opened simultaneously by the branch-circuit overcurrent mechanism.
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What is the relation between torque and moment of inertia formula?.
An object rotates at an acceleration is inversely proportional to its moment of inertia when a torque is applied to it. Torque is defined mathematically as: τ = I α, where I is the moment of inertia and α is the angular acceleration.
I is usually given by the formula, I = m r².
In rotating motion, torque is the same as force in linear motion. It is the main factor that maintains an object's rotation.
Torque and rotational inertia replace force and mass, respectively, in the angular application of Newton's Second Law. The relationship between angular acceleration and torque is true when an object's rotational inertia is constant.
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Why does earth have a lower amount of carbon in the atmosphere than planets such as venus and mars?(1 point).
Earth has a lower amount of carbon in the atmosphere than planets such as Venus and Mars because it consists of photosynthetic plants which utilize a high amount of carbon dioxide in their photosynthetic process.
What is the concentration of carbon in the earth's atmosphere?According to the report published by NASA, the concentration of carbon in the earth's atmosphere is found to be 412 parts per million. This significantly expresses the rise of about 47% since the initiation of the Industrial age.
On planets such as Venus and Mars, there is no existence of life. So, carbon gradually accumulated in its atmosphere. But when you talk about the Earth which comprises a huge diversity of organisms that utilizes a large of carbon and its components in their process which supports their metabolism.
Therefore, due to the presence of photosynthetic organisms on the earth's surface, Earth has a lower amount of carbon in the atmosphere than planets such as Venus and Mars.
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What is net torque formula?.
the magnitudes of the individual rotational torque about a given axis, and the net torque the about axis seems to be the sum of the different torques: →τnet=∑i|→τi|.equilibrium
What is a torque, exactly?An object may be under the influence of many forces, each of which may act at a different position on the item. Each force will then result in a torque. The total of the various torques is the net torque.
What exactly are net torque and force?When an object is in static equilibrium, the resultant force and force exerted on it are both equal to zero. The force acting on an item is determined by multiplying its mass by its rate of acceleration.
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How many of order of magnitude are between a grain of and (~5 x 10-4 m) and the height of Mount Everet (~8. 8 x103 m)?
Answer: Order of magnitude is 4.
What is Magnitude?
-- In physics, magnitude is defined simply as “distance or quantity.”
-- It depicts the absolute or relative direction or size in which an object moves in the sense of motion.
-- It is used to express the size or scope of something.
-- In physics, magnitude generally refers to distance or quantity.
What is relative velocity?
-- The relative velocity is defined as the velocity of an object with respect to another observer.
-- It is the time rate of change of relative position of one object with respect to another object.
What is Height ?
-- the measurement from the bottom to the top of a person or thing
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how many wavelengths thick is a 1/2 mm thumbnail
how many wavelengths thick is 100 micrometer thick hair
The amount of wavelength of light thick is the thumbnail x/y.
Given:
Wavelength of light= x
Thickness of thumbnail= y
The amount of wavelength thick the thumbnail is x/y
What is wavelength?
Wavelength is the distance between identical points (adjacent peaks) in adjacent cycles of a waveform signal propagated in space or along a wire. In wireless systems, this length is usually given in meters (m), centimeters (cm), or millimeters (mm).To know more about wavelength, click the link given below:
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The region around a magnet where the magnetic forces act is the?
Answer:
Magnetic field.
Explanation:
Magnetic field is a region around a Magnet where a Magnetic force is excerted
What is the formula to find the rate of change?.
Problems involving rate of change may be solved using the formula R = D/T, which states that the rate of change equals the distance travelled divided by the time it takes to go.
How are the rates of rise and decline calculated?Determine the difference (decrease) between the two numbers being compared before computing the percentage drop. As a result of the modification, the percentage change is indicated.
The rate of change is a ratio that compares changes in the y variable to changes in the x variable. The slope of the line equals the rate of change if the rate of change is constant and linear. The slope of a line can be positive, negative, or zero.
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A 2000 W immersion heater is used to heat 2 kg of water for 5 minutes. Calculate the final temperature of the water if its initial temperature was 23°C. What assumption have you made in your calculation? Specific heat capacity of water is 4200 J/(kg °C).
The final temperature of the water is 25.38°C when a 2000 W immersion heater is used to heat 2 kg of water for 5 minutes.
How to calculate final temperature?
The amount of heat energy added to the water can be calculated using the formula: Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
The heat energy added to the water is: 2000 W * 5 minutes = 10,000 J
So the change in temperature can be calculated as: Q = mcΔT = (2 kg) * (4200 J/kg°C) * ΔT = 8400 * ΔT
ΔT = Q / mc = 10,000 J / (2 kg * 4200 J/kg°C) = 2.38°C
Therefore, the final temperature of the water is: 23°C + 2.38°C = 25.38°C
Assumptions:
The water is isolated and no heat is lost to the surroundings.The specific heat capacity of water is constant.The immersion heater is 100% efficient, meaning no energy is lost as heat to the surrounding.To learn more about heat energy, visit: https://brainly.com/question/934320
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What is always 9. 8 in physics?.
A particle is moving with a constant speed in a corkscrew tunnel (i.e., it is moving in a circle as it moves forward). When it exits the tunnel, what path will it follow?
When a particle is moving with a constant speed in a corkscrew tunnel, it is traveling in a circular path as it moves forward. The path followed by the particle is a combination of two motions: linear motion (forward) and circular motion (around the circle).
When the particle exits the tunnel, it will continue to follow the combined path it was on before, which is the path of a helix. The helix is a three-dimensional curve that is the result of combining circular and linear motions, that is, the particle will move forward in a straight line, but also continue to move in a circular path around that line. The shape of the helix is similar to a spiral staircase, as the particle moves forward, it also spirals around the center axis of the tunnel.
In summary, when the particle exits the corkscrew tunnel, it will continue to follow the path of a helix, which is the combination of linear and circular motion.
What is the angle between 2i and 3j?.
The angle between 2i and 3j with y axis is 0.688.
The shortest angle at which we must rotate one of the vectors to the position of being co-directional with another vector is defined as the angle formed by a single point between two vectors. The angle between the tails of two vectors defines the distance between them. Either the cross product or the dot product (scalar product) can be used to find it (vector product).
The angle between two vectors always ranges from 0° to 180°, as you should be aware of. The angle formed by two lines with the x-axis as one of them and ax + by + c = 0 as the other is equal to = Tan^(-1)(-a/b). the angle formed by two lines, one of which is defined as y = mx + c.
A= 2i+3j
B=j
A.B= |A||B| cos theta
=[tex]\sqrt{19}[/tex]Cos Θ=2*0+3*1
Cos Θ =[tex]3/\sqrt(19)[/tex]
= 3/4.3589
=0.688
Θ = 0.688
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Correct Question:
What is the angle between the vector A=2i+3j and y-axis?
What is the rate of change rule?.
The rate of change function is defined as the rate at which one quantity changes in relation to another.
Simply said, the rate of change divides the amount of change in one item by the equivalent amount of change in another.
What is the yearly rate of change formula?Annual growth rates are computed by averaging revenue over a particular period.
The yearly growth rate formula divides an investment's or asset's final value by its starting value.
When you remove one from this amount, you get a decimal point, which may be converted to a percentage.
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