The correct answer for the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, y = 4x is 128/3 * π.
Volume of Solid of Revolution by Shell method is given by
V = 2π * integrate x(height) dx Here, height = 4x-x2
(1)& x-varies from x = 0 to x = 4 then from eqn(1) V = 2π * integrate x(4x - x ^ 2) dx from x = 0 to 4 = 2π * integrate (4x ^ 2 - x ^ 3) dx from x = 0 to 4
Basic Rule(1) ∫ x^n dx =x^ n+1/ n+1
V=2 π [4((x ^ 3)/3) - (x ^ 4)/4] 0 ^ 4 =2 π[ 4/3 x^ 3 - x^ 4/4 ] 0 ^ 4
V = 2π [4/3 * 4 ^ 3 - (4 ^ 4)/4} - 0]
V = 128/3 * π.
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If an elevator is accelerating upward, in which direction is a passenger in the elevator accelerating.
They are not accelerating
Upward
Downward
Falling
If the price elasticity of demand for digital cameras is 0.88, then the demand is _____ and total revenue will ______ if the price of cameras increases.
Digital camera demand is inelastic if the price elasticity of demand is 0.88, meaning that price rises for cameras will result in higher overall sales.
By price elasticity, what do you mean?Price elasticity of demand measures how much a product's consumption changes in response to price changes. If a good's price elasticity is infinite, it is perfectly elastic (if demand changes substantially even with minimal price change). The good is elastic if price elasticity is more than 1, and inelastic if it is less than 1. A good is completely inelastic if its price elasticity is zero, meaning that no amount of price variation will alter demand. The quantity effect will be overpowered by the price effect. The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.
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The operation of preparing illustrations for enlargement or reduction is known as:_____.
Proportional scale or Proportion wheel are terms used to describe the process of preparing illustrations for expansion or reduction.
A proportionate scale is a logarithmic scale with indicated portions that are proportional to the natural number logarithms.Graphic designers utilize a traditional proportion wheel, often known as a proportion scale, to adjust an image to fit within a specified width (or height).In general, the goal is to keep the same aspect ratio while translating a picture with a specific width and height to prevent distortion.What is the proportional principle?
The relationship between two or more elements in a design and how they stack up against one another is known as proportion. When there is a proper size or quantity relationship between the elements, proportion is said to be harmonic.
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i need help please thanks
The burning of fossil fuels is a threat to the environment.
What is pollution?The term pollution has to do with the introduction of harmful material and energy into the environment. We know that the burning of fossil fuels is one of the chief sources of pollution in the environment. This is can be seen from the images attached.
The burning of fossil fuels introduces carbon dioxide into the environment which in turn causes the temperature of the earth to rise. This is the situation that we call global warming.
The greatest concern of the earth is to ensure that the carbon burden is reduced and that the emission of the carbon to the atmosphere is mitigated in order to reduce the impact of this carbon on the earth.
Thus, the burning of fossil fuels is a threat to the environment.
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An electron travels 3.31 m in 5.83 x 10 to the -8 s. How fast is it traveling?
Speed of electron with which it is traveling is
0.56 x 10^8 m/s
It is given that
distance travelled by electron is 3.31 m
time taken to travel = 5.83 x 10^-8 s
We have to find Speed of electron with which it is traveling
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Speed = distance/time = 3.31/5.83 x 10^-8
Speed = 0.56 x 10^8 m/s
Hence, Speed of electron with which it is traveling is 0.56 x 10^8 m/s
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Stare at a piece of bright colored paper for 45 seconds or so. then look at a plain white surface. what do you see?
Your blue receptors will become fatigued if you stare at a blue image for too long, and the afterimage will be the opposite colour: orange.
Why do we first perceive blue and then yellow?A yellowing of the optical medium of the eye causes Xanthopsia, a colour vision impairment in which blue dominates in perception. Digoxin's inhibition of the sodium pump as well as cataract formation, which can have the effect of a yellow filter, are the most frequent causes.
A blue-green, or cyan, afterimage of the same size and form can be seen if you stare at a red item and then look at a white region shortly after.
Digibind or Digifab, also known as digoxin-specific antibody antigen-binding fragments (DSFab), are a potent antidote that binds digoxin directly.
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When 5.0 a at 110 v flows in the primary of an ideal transformer, how many amps at 24 v can flow in the secondary?
The current that can flow in the secondary is 23 A
According to Transformation ratio,
[tex]V_{p}[/tex] / [tex]V_{s}[/tex] = [tex]I_{s}[/tex] / [tex]I_{p}[/tex]
where,
[tex]V_{p}[/tex] = Voltage across the primary coil
[tex]V_{s}[/tex] = Voltage across the secondary coil
[tex]I_{s}[/tex] = Current in the primary coil
[tex]I_{p}[/tex] = Current in the secondary coil
Given that,
[tex]V_{p}[/tex] = 110 V
[tex]V_{s}[/tex] = 24 V
[tex]I_{p}[/tex] = 5 A
[tex]V_{p}[/tex] / [tex]V_{s}[/tex] = [tex]I_{s}[/tex] / [tex]I_{p}[/tex]
110 / 24 = [tex]I_{s}[/tex] / 5
[tex]I_{s}[/tex] = 22.9 = 23 A
Transformation ratio is the ratio of secondary voltage to primary voltage.
Therefore, The current that can flow in the secondary is 23 A
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What is the correct number of p orbital electrons in cyclopentadienyl anion?
a) 6
b) 2
c) 5
d) 4
The number of p - orbital electrons in cyclopentadienyl anion are
6 electrons.
We have Cyclopentadienyl anion.
We have to determine number of p - orbital electrons in it.
What are Orbitals ?Atomic orbitals are the 3-dimensional spaces around the nucleus where the probability of finding an electron is maximum.
According to the question -
The Cyclopentadienyl Anion is planar and has a continuous overlap of 5 p-orbitals with 6 electrons. It is an aromatic system which is highly stable and has a closed shell configuration. The deprotonated form of cyclopentadiene is represented as the cyclopentadienyl anion C5H5⁻.
Hence, the number of p - orbital electrons in cyclopentadienyl anion are
6 electrons.
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Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east. what is her distance and displacement?
Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east.
In this the total distance she covers is 9 miles and the total displacement is also the same as the distance that is 9 miles.
What is the difference between distance and displacement?Displacement is the shortest distance between initial and final position, or we can say it is the straight-line distance between initial and final position.
Whereas distance is considered as the total path length covered from initial position till the final position. The Displacement of a body is always less than or equal to the distance.
Displacement can be zero in case the initial and final positions coincide, but distance can never be zero.
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One method of estimating the temperature of the center of the sun is based on the assumption that the center consists of gases that have an average molar mass of 2. 00 g/mol. If the density of the center of the sun is 1. 40 g/cm3 at a pressure of 1. 30 x 109 atm, calculate the temperature.
By using ideal gas approximation, the sun's temperature is 2.27 x 10⁷ K.
We need to know about ideal gas to solve this problem. The ideal gas will follow the rule
P . V = n . R . T
where P is pressure, V is volume, n is the amount of substance, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.
From the question above, we know that:
Mr = 2 g/mol
ρ = 1.4 g/cm³
P = 1.3 x 10⁹ atm = 1.32 x 10¹⁴ Pa
m(sun) = 1989 x 10³⁰ g
Find the amount of sun substance
n = m / Mr
n = 1989 x 10³⁰ / 2
n = 994.5 x 10³⁰ mol
Find the volume of sun
V = m/ρ
V = 1989 x 10³⁰ / 1.4
V = 1420.71 x 10³⁰ cm³
V = 1.42 x 10²⁷ m³
By substituting the parameters, we get
P . V = n . R . T
1.32 x 10¹⁴ . 1.42 x 10²⁷ = 994.5 x 10³⁰ . 8.31 . T
T = 2.27 x 10⁷ K
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The earth's diameter is approximately 12,756 km. what is the approximate radius?
The approximate radius is 6370 Km
The radius of the Earth is approximately 3,960 miles, while the radius of the Moon is approximately 1,080 miles.
What is Earth ?Earth is the third planet from the Sun, the largest of the solar system's four terrestrial planets, the planet with the highest density, and the only planet in our solar system known to support life.
Land, air, water, and life are the elements that make up Earth. On the ground, there are mountains, valleys, and flat areas. The air is composed of several gases, including nitrogen and oxygen. Water can be found in rivers, lakes, oceans, streams, snow, ice, and many other places.Each one is a shortened version of a word that signifies "ground" or "soil" (or occasionally "universe" or "creation"). For example, the word "Earth" in modern English is derived from the Germanic word "erde," which meaning "ground."Learn more about Earth here:
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The flow rate of incoming solar energy, as measured at the top of the atmosphere is called?
The flow rate of incoming solar energy, as measured at the top of the atmosphere is called: insolation
The insolation is known as the amount of radiation from the sun's energy that the planet receives. A portion of the energy is absorbed or reflected by the atmosphere and another portion reaches the surface.
The insolation is caused major by:
Solar constantThe angle of the incidence of the sun's ray Duration of the dayThe distance of Earth from sunTransparency of the atmosphereWhat is solar energy?The solar energy is a type of energy whose source is the sun that radiates heat.
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A car horn creates a 595 Hz tone at rest. Two cars pass on the street, each going 20 m/s; the first car honks. What frequency does the other car hear after they pass each other? (speed of sound = 343 m/s) (unit = Hz). PLEASE HELP
The frequency does the other car hear after they pass each other is 631.8 Hz.
Frequency heard by the second car
The frequency heard by the second car is calculated as follows;
f = f'(v/v - vs)
where;
f' is the original frequencyf is the later frequency heardv is speed of soundvs is source speedf = 595(343/343 - 20)
f = 631.8 Hz
Thus, the frequency does the other car hear after they pass each other is 631.8 Hz.
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The two major atmospheric gases that absorb energy from the sun are :__________
a. hydrogen and carbon dioxide.
b. carbon dioxide and water vapor.
c. nitrogen and hydrogen.
d. oxygen and nitrogen.
Carbon dioxide and water vapor are the two principal atmospheric gases that absorb solar energy.
What do you mean by atmospheric gases?Gases in the atmosphere of the Earth are referred to as atmospheric gases. While greenhouse gases (carbon dioxide, methane, nitrous oxide, water vapor, and ozone) only make up 1% of the air, they make up the majority of these gases, which account for 99% of the air's composition. Several separate gases, each with unique characteristics, are actually mixed together to form the air. Air's chemical makeup changes throughout time. It could change over time and from location to location. There are also some varying elements in the air in our environment. Water vapor, dust particles, and ozone are some of these changeable elements. The weather and environment can be significantly impacted by these, despite their rarity and low concentration.
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What could you do to increase the electric force between two charged
particles by a factor of 16?
O A. Reduce one particle's charge by a factor of 16.
о B. Increase one particle's charge by a factor of 4.
O
C. Reduce one particle's charge by a factor of 4.
OD. Increase one particle's charge by a factor of 16.
To increase the electric force between two charged particles by a factor of 16, we D. Increase one particle's charge by a factor of 16.
What is electric force?Electric force is the force of attraction between two charged particles.
The magnitude of the electric force is given by F = kq₁q₂/r² where
k = electrostatic constant, q₁ = charge on particle one, q₂ = charge on particle two and r = distance of separation between the two charges.Given that we have two charged particles q₁ and q₂ separated by a distance r, the electric force betwen them is given by F = kq₁q₂/r²
Now, if we want to increase the force by a factor 16, we have the new force F' = 16F
F' = 16kq₁q₂/r²
F' = k16q₁q₂/r²
F = k(16q₁)q₂/r² or kq₁(16q₂)/r²
This implies that either one of the charged particles q₁ or q₂ is increased by a factor of 16
So, to increase the electric force between two charged particles by a factor of 16, we D. Increase one particle's charge by a factor of 16.
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A car can go from 0 to 60 mph in 6.0 s .assuming that it could maintain the same acceleration at higher speeds, how long would it take the car to go from 0 to 120 mph?
The time taken for the car to reach 120 mph speed is 12 seconds.
Acceleration of the carThe acceleration of the car is the rate of change of velocity of the car with time.
a = Δv/t
where;
t is time = 6 sa = (60 mph) / (6 s)
when the speed increases to 120 mphThe time of motion at the given constant speed is calculated as follows;
t = v/a
t = (120 mph) / (60 mph / 6s)
t = (120 mph x 6 s) / (60 mph)
t = 2 x 6 s
t = 12 seconds
Thus, the time taken for the car to reach 120 mph speed is 12 seconds.
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A wire rope sling with a strength of 10,000 pounds and a total working load of 2,000 pounds has a design factor (multiplier) of ___.
The design factor or multiplier of the wire rope is 5.
What is design factor?
Design factor means the ratio of the ultimate failure strength of a member or piece of material or equipment to the actual working stress or intended safe load.
The design factor or multiplier of the wire rope is calculated as follows;
D.F = maximum strength / load
D.F = 10,000 / 2000
D.F = 5
Thus, the design factor or multiplier of the wire rope is 5.
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A mechanic working on a 100-m radar tower drops a hammer weighing 44.5 n. the work done on the hammer as it falls is:________
A 44.5 n hammer falls from a 100 m radar tower being repaired by a mechanic 4450 J worth of work is done on the hammer as it falls.
Briefing:Work= Force *Distance
= 44.5*100
= 4450 J.
What Is Distance?Distance is a measurement of the distance between two objects or location. In physics, the term "distance" can refer to an actual length or, more commonly, to an estimate based on several other parameters. The sign |AB| may occasionally be used to denote a distance between two places.
What is the formula for calculating distance?To calculate the distance, use the formula d = st, or distance equal speed multiplied by time.
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A mass suspended from a spring bobs up and down one complete cycle every 2 s. its period is?
The period is 2 seconds.
A period is a time taken to make one simple harmonic motion. It can be described as time divided by how many waves do. We can write the period formula as
T = t / n
where T is period, t is time and n is the amount of simple harmonic motions.
From the question above, we know that the mass travel up and down, it means that the cycle is one simple harmonic motion.
n = 1
t = 2s
Hence
T = t / n
T = 2 / 1
T = 2 second
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As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims
leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6
20m
10m
What is the seal's average velocity during the chase?
What is the seal's average speed during the chase?
The seal's average velocity during the chase is 1.67 m/s.
The seal's average speed during the chase is 5 m/s.
What is average velocity?
The average velocity of an object is the change in the displacement of the object with time.
The seal's average velocity during the chase is calculated as follows;
Δx = xf - xi
Δx = 20 m - 10 m = 10 m
v = Δx/t
v = 10 m / 6 s
v = 1.67 m/s
Average speed of the sealThe average speed is the ratio of total distance to total time of motion.
v = (10 m + 20 m) / 6 s
v = 30 m / 6s
v = 5 m/s
Thus, the seal's average velocity during the chase is 1.67 m/s.
The seal's average speed during the chase is 5 m/s.
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As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6 s.
Answer:
What is the seal's average velocity during the chase?
Answer: 1.67 m/s
What is the seal's average speed during the chase?
Answer: 5 m/s
What is the deceleration of the rocket sled if it comes to rest in 1.1 s from a speed of 1000 km/h? (such deceleration caused one test subject to black out and have temporary blindness.)
The deceleration of the rocket sled if it comes to rest in 1.1 s from a speed of 1000 km/h is [tex]252.52\ m/s^2[/tex].
The acceleration in opposite direction is known as the deceleration. Basically the deceleration is negative value of the acceleration since the negative sign depicts its opposite in direction.
The given data:
time, t = 1.1 s
initial speed, u = 1000 km/h = [tex]\frac{2500}{9}\ m/s[/tex]
final speed, v = 0 m/s
So we will be using the equation of motion, that is,
v = u + at
[tex]\therefore 0=\frac{2500}{9} + a(1.1)[/tex]
[tex]\Rightarrow a=-\frac{2500}{9(1.1)}[/tex]
[tex]\therefore a = - 252.52 \ m/s^2[/tex]
Hence , the deceleration of the rocket is [tex]252.52\ m/s^2[/tex].
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Hi can someone explain me to find the answer of this equation?
I am not able to calculate because there is different units such as kg/m^3,m/s^2
(1000kg/m^3)x(9.8m/s^2)x(1.2m)
I have test tommorow, I will mark you as Brainliest!
Answer:
11760 kg / (m-s^2)
Explanation:
Just do the units FIRST
kg m m
m^3 s^2 1
now you can see that the two m's in the top cancel two m's in the denominator and you are left with
kg/ (m-s^2) as units
Now do the numbers
1000 * 9.8 * 1.2 = 11760
so answer is 11 760 kg / (m-s^2)
A chemical process with an e-factor of 1 creates less waste than an e-factor of 25?
The statement given "A chemical process with an e-factor of 1 creates less waste than an E-factor of 25" is True.
E factor :The E factor takes into account all waste that may be classified as trash, including byproduct waste, residual reactants, solvent losses, spent catalysts and catalyst supports, and any other waste that can be classified as waste. The computation is based on the definition of waste. Since water is typically safe and a considerable byproduct of many chemical processes, its bulk is typically excluded from the calculation of the total mass of waste. Higher E values are generally less desirable and 0 is the ideal E factor. The volume of product produced and the product's value determine the e variables that may be tolerated. Tolerable E factors for bulk chemicals generated in quantities ranging from hundreds of thousands to millions of tons per year typically fall between 1 and 5.Learn more about the Green chemistry with the help of the given link:
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Definition of covalent compound?
Answer:
Explanation:
Covalent, or molecular, compounds are formed when two nonmetals react with one another. By sharing electrons, the elements combine to form a compound, resulting in an electrically neutral molecule. Covalent Compounds Gilbert N. Lewis, an American physical chemist, first described covalent bonding in a 1916 article, though he did not use the term.
Please help me in physics! Urgently!!
And now let's deal with physical phenomena. I give you phenomena and
you fill out the table; ice melts, car movement, thunder, lightning, echo,
water heats up, dawn, lead melts, Northern lights, rustling grass.
Thermal
phenomena.
Sound
phenomena.
Mechanical
phenomena.
Light
phenomena.
Answer:
Thermal
Thermalphenomena.
ice meltswater heats uplead meltsSound
Soundphenomena.
thunder echorustling grassMechanical
Mechanicalphenomena.
car movementLight
Lightphenomena.
lightning dawnnorthern lightIf the wavelength of the photon of light absorbed by a hydrogen atom has a value of 1.0952 x 10-6 m, and the electron starts at level n = 3, what is the level (n) of the final state of the electron?
The level (n) of the final state of the electron n₂ = 6
What does a photon mean in science?a photon, also known as a light quantum, is a very small energy package of electromagnetic radiation. When explaining the photoelectric effect in 1905, Albert Einstein proposed the potential of energy levels packets during the transmission of light.
What is an electron?A negatively charged subatomic component called an electron can be either attached to or detached from an atom (not bound). Protons, neutrons, and electron that is bonded to the atom make up the three basic types of particles that make up an atom. Protons, neutrons, and electrons make up the nucleus of an atom.
According to the given information:An atom of hydrogen has a value of 1.0952 x 10-6 m
starting at level 1, the electron n = 3
what is the electron's final state level (n).
[tex]\frac{1}{\lambda}=\bar{v}=R_H\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)[/tex]
λ = 1.0952 x 10⁻⁶m
= 1.0952 x 10⁻⁴cm
R[tex]_H[/tex] = 109677cm⁻¹
n₁ = 3
n₂ = ?
Putting the value in the formula:
we get,
1/1.0952 x 10⁻⁴ = 109677cm⁻¹[tex]\left(\frac{1}{3^2}-\frac{1}{n_2^2}\right)[/tex]
0.0833 = 1/9 - 1/(n₂)²
(n₂)² = 1/0.0278
n₂ = 6
The level (n) of the final state of the electron n₂ = 6
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One of the fundamental general safety guidelines with respect to hot work is to keep the work area clear of combustibles for at least from the hot work area
One of the fundamental general safety guidelines is to keep the work area clear of combustibles for at least 35 feet from the hot work area.
Hot works or combustible works such as welding, heating or cutting should be done at a location which is far away form any combustible material.
Prior to start working in such a location make sure there are no hazardous or combustible material around such as fire, ignition source or electric spark.
All precautionary measures must be taken to confine heat, fire or spark so that they don not come into contact with nay combustible object.
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You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing ______ meters from you.
You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing 6 meters from you.
CalculationThe plane mirror shows an exact replica of the real world. that means the distance of you from the mirror is the same distance as your reflection form the mirror at the opposite side of the mirror.
Thus, distance of image from the plane mirror is same as the distance of object (person) from the plane mirror but the image is formed behind the mirror.
Thereby we have v=u=3 m
Thus, distance between image and the person
is d = v + u = 3 + 3 = 6 m
Thus, the person is 6 meters away from the image.
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What happens to most of the neutrinos produced by the nuclear reactions in the core of the sun? group of answer choices
The neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.
The neutrinos produced by the nuclear reactions in the core of the sun is called solar neutrinos. These solar neutrinos are the decay product of nuclear fusion reaction in the sun.
These neutrinos then gets released into space which also reaches earth as light and heat.
Therefore, the neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.
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Calculate the average speed of a complete round trip in which the outgoing 300 km is covered at 93 km/h , followed by a 1.0-h lunch break, and the return 300 km is covered at 56 km/h
The average speed of the complete round trip is 65.57 km / h.
We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as
v = d / t
where v is average speed, d is distance and t is time.
From the question above, we know that
d1 = 300 km
v1 = 93 km/h
t lunch = 1 hour
d2 = 300 km
v2 = 56 km/h
Find the time during the outgoing
v1 = d1 / t1
t1 = d1 / v1
t1 = 300 / 93
t1 = 3.23 hours
Find the return time
v2 = d2 / t2
t2 = d2 / v2
t2 = 300 / 56
t2 = 5.36 hours
Hence, the total time
t = t1 + t2 + t lunch
t = 3.23 + 5.36 + 1
t = 9.59 hours
Find the average speed
v = d / t
v = (300 + 300) / 9.59
v = 65.57 km / h
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