Use the dot product identity,
[tex]\vec x \cdot \vec y = \|\vec x\| \|\vec y\| \cos(\theta)[/tex]
where [tex]\theta[/tex] is the measure of the angle between the two vectors [tex]\vec x,\vec y[/tex]. Note that
[tex]\vec x \cdot \vec x = \|\vec\| \|\vec x\| \cos(0) = \|\vec x\|^2[/tex]
Applying the identity to [tex]\vec x = \vec y = \vec A + \vec B[/tex] and using the distributive and commutative properties of the dot product, we get
[tex](\vec A + \vec B) \cdot (\vec A + \vec B) = (\vec A \cdot \vec A) + 2 (\vec A \cdot \vec B) + (\vec B \cdot \vec B)[/tex]
which is equivalent to
[tex]\|\vec A + \vec B\|^2 = \|\vec A\|^2 + 2\|\vec A\|\|\vec B\| \cos(\theta) + \|\vec B\|^2[/tex]
Now, we're given [tex]\|\vec A\| = 13.9[/tex], [tex]\|\vec B\| = 5.9[/tex], and [tex]\theta=53^\circ[/tex], so that
[tex]\|\vec A + \vec B\| = \sqrt{13.9^2 + 2\cdot13.9\cdot5.9\cos(53^\circ) + 5.9^2} \approx \boxed{18.1}[/tex]
A 30 hp 460v 3-phase motor requires 35 amps at full load. the power factor is 0.86 determine the efficiency of the motor.
A 30 hp 460v 3-section motor requires 35 amps at complete load. The strength thing is 0.86 which determines the motor performance of 93.32.
Given records:
Output electricity of motor = 30 hp
We recognize that 1 hp = 746 w
∴ Output = 30 × 746 = 22380 w
→ complete load cutting-edge
= 35 amp
→ Line voltage
= 460 v
→ power issue = 0.76
→ enter to the motor =?
⇒ [tex]P_{in} \sqrt{3}V_{L} I_{FL} cos[/tex]∅
⇒ [tex]p_{in} =\sqrt{3}[/tex] × 460 × 35 × 0.36
⇒ [tex]p_{in} = 23981.97 w[/tex]
We know that efficiency [tex]n=[/tex] output/input
⇒ [tex]n = \frac{22380}{23981.97}[/tex]
⇒ [tex]n = 0.9332[/tex]
[tex]% n = 93.32%[/tex]Efficiency % = 93.32%
So the efficiency in the question given above is 93.32%.
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7. Research one major corporate scandal that has happened in the past 10 years
(Enron, World Com, AIG, etc). List the major players, what the scandal was
about, and what the outcome was. How do you think these compare to what
happened to Tucker? Do you think this was as big a scandal in his day as the
scandal you chose?
public opinion of him
Research is defined as "creative and methodical activity done to enhance the body of knowledge." It entails the target gathering, organizing, and analysis of knowledge in order to improve comprehension of a subject or issue. a search effort could build on prior contributions to the field. Research may duplicate portions of earlier projects or the project as an entire to verify the accuracy of instruments, processes, or experiments.
Documentation, discovery, interpretation, and therefore the research and development (R&D) of methods and systems for the advancement of human knowledge are the main goals of basic research (as opposed to applied research). Research methodologies are supported by epistemologies, which differ greatly within and between the humanities and sciences.
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Redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor. True or false?.
The affirmation redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor is true.
What are redox reactions?Redox reactions are chemical reactions in which there is an exchange of electrons between atoms or molecules, some of which will lose electrons that will be transferred to other molecules or atoms. Then the reagent that is going to give up the electrons is going to go through an oxidation process and the one that is going to receive them is going to go through a reduction process.
Therefore, we can confirm that the affirmation redox reactions involve the loss of an electron by an electron donor, and a gain of an electron by an electron acceptor is true.
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Whenever an electrically charged particle is accelerated, it radiates energy in the form of?.
Answer:
electromagnetic radiation
Explanation:
you put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 k. what is its temperature change in (a) ◦f and (b) ◦c?
The correct answer is F = 18.
Given that it is a physical quantity, the temperature has units that can be used to measure it. Kelvin is used as the SI unit of temperature. However, we also use the units of Celsius and Fahrenheit to measure temperature. The temperature units are connected in the following way:
C = 5/9 (F - 32)
K = C + 273
Temperature is a physical characteristic that can be used to determine how cold or hot a body is. The scales to utilise for recording temperature are Celsius, Kelvin, or Fahrenheit, and these scales have a correlation to convert one reading into another scale reading.
Temperature change in Kelvin, K = 10K
Temperature change in Celsius
C = K
or C = 10
Temperature change in Fahrenheit
F =1.8C
or F = 1.8 x 10
or F = 18.
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Freeways in Australia have a maximum speed of 100kph (27.78m/s)
An average speed camera measured the time over the course of 5km and found that it took me exactly 2 minutes and 52 seconds to travel that distance…
What was my average speed?
Answer to the nearest whole number in meters per second.
Since it takes exactly 2 minutes and 52 seconds to travel that distance ,your average speed is 29.07 m/s
What is average speed?Average speed is the total distance travelled/time taken for the distance.
What is your average speed?Given that Freeways in Australia have a maximum speed of 100kph (27.78m/s) and an average speed camera measured the time over the course of 5km and found that it took me exactly 2 minutes and 52 seconds to travel that distance,
the total distance travelled is 5 km = 5000 m and the total time = 2 min 52 s = 2 × 60 s + 52 s = 120 s + 52 s = 172 sSince the average speed = total distance/total time, substituting the values of the variables into the equationm we have
average speed = total distance/total time
average speed = 5000 m/172 s
= 29.07 m/s
So, your average speed is 29.07 m/s
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you are practicing for a 200m dash with a friend. your friends runs with an average speed of 2.5m/s. if you run with an average speed of 2.7 m/s, how long will you have to wait for your friend at the finish line?
You will have to wait for 5.92 seconds at the finish line for your friend to finish the dash.
The total distance of the dash is d = 200 meters.
Friends run with an average speed of v₁ = 2.5 m/s.
Your average speed is v₂ = 2.7 m/s.
Now, the speed of an object or particle is defined as the speed of the object per unit time.
Therefore,
Speed = distance / time
Now, friend's times will be:
v₁ = d / t₁
t₁ = d / v₁
t₁ = ( 200 m) / (2.5 m/s)
t₁ = 80 seconds
Your time to finish the dash is:
v₂ = d / t₂
t₂ = d / v₂
t₂ = ( 200 m) / ( 2.7 m/s)
t₂ = 74.07 seconds
The time you have to wait for your friend at the finish line will be:
t = t₁ - t₂
t = 80 - 74.07
t = 5.92 seconds.
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in which of the following cases does a car have a negative velocity and a positive acceleration? a car that is traveling in the
There is a positive acceleration where −x direction decreasing in speed.
What is acceleration?The term acceleration refers to the change of velocity with time of the body. Now we know that both velocity and acceleration are both vector quantities. We have to put the direction into consideration when looking at the acceleration of a body.
The case in which the car has a positive acceleration is the option where a car has a negative velocity and a positive acceleration is −x direction decreasing in speed.
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Missing parts;
In which of the following cases does a car have a negative velocity and a positive acceleration? A car that is traveling in the Check all that apply. Check all that apply.
a.+x direction decreasing in speed.
b.+x direction increasing in speed.
c.−x direction decreasing in speed.
d.−x direction increasing in speed.
e.−x direction at a constant 20 m/s.
A 5. 00 l sample of a gas exerts a pressure of 1040 torr at 50. 0°c. In what volume would the same sample exert a pressure of 1. 00 atm at 50. 0°c? report your answer in liters to two decimal places.
By ideal gas approximation, the final volume is 6.84 liters.
We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation
P . V = n . R . T
where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.
From the question above, we know that
V1 = 5 L
P1 = 1040 torr = 1040 / 760 atm
P2 = 1 atm
When the initial and final temperature is the same, we can use the ratio of pressure and volume as
P1 . V1 = P2 . V2
(1040 / 760) . 5 = 1 . V2
V2 = 6.84 liters
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when an object is thrown upwards, when it reaches its maximum height, its instantaneous velocity is and its acceleration is
At maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.
We have an object thrown upwards.
We have to determine its velocity and acceleration at maximum height.
At maximum height, the direction of velocity vector is ?A maximum height the direction of velocity vector does not exist as it is a null vector at that point.
According to the question -
When the object reaches its maximum height, it will no longer continue to move in the upward direction. For a instant of time in which the ball achieves maximum height - the velocity of the ball becomes 0.
Now, the acceleration due to gravity acts on the ball in the downward direction and is equal to 9.8 m/[tex]s^{2}[/tex]
Hence, at maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.
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to be effective, why must agreement aimed at preventing or reducing ozone depletion be international?
I have to get it done.. it's pass due
The agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.
Why must agreements aimed at preventing or reducing ozone depletion be international?The agreement must be aimed at preventing or reducing ozone depletion internationally because ozone depletion is the most dangerous cause of human activities such as chlorofluorocarbon gas. Ozone is the protective layer that can filter incoming solar radiation from harmful ultraviolet radiation. The Montreal Protocol is a global agreement to protect the ozone layer of the earth by preventing the use of chemicals that deplete it.
So we can conclude that the agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.
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At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?
To travel directly southward relative to the ground, the bird should head
to an angle direction of approximately South 23.58° East.
The velocity of the bird can be directed such that the resultant velocity of
the bird and the wind will be in the southward direction.
component of the velocity is;
The magnitude of the velocity of the bird = 100 km/h
The direction of the bird = North-South direction
The magnitude of the velocity of the wind = 40 km/h
The direction of the wind = East-west direction
The component vector of the two velocities are;
Velocity of bird, v = -100·j
The velocity of wind, v = 40·i
The direction of the velocity of the bird will be southward if it has a
component of velocity to accommodate the velocity of the wind.
Let θ represent the angle of the direction of the bird relative to the
negative x-axis, we have;
-100 × cos(θ) = -40·i
θ ≈ 66.42° in the third quadrat, given that both the y, and x, values are
negative.
In the South-West direction, the angle is, therefore; 90 - 66.42 ≈ 23.58°
Therefore, the bird should fly in the direction south 23.58° east to fly
directly southward relative to the ground.
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A bicyclist accelerates at a constant rate from a standstill to 30 km/hr in 45 sec. a) how fast is the bicyclist traveling after 35 sec? b) how far has the bicyclist traveled after 45 sec?
distance travelled by bicycle after 35 sec = 30 X 35/ 3600 = 0.27km and after 45 sec is 0.3km by a velocity 30km/hr
we know by the formula velocity= d/t so 30km/h after 40 seconds = 40/ 3600=0.01hr
so distance travelled by bicycle after 35 sec = 30 X 35/ 3600 = 0.27km and after 45 sec is 0.3km.
The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.
In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. In the SI, speed is a coherent derived unit whose quantity is expressed in meters per second as the scalar absolute value (magnitude) of velocity (metric system).
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The+amplitude+of+an+oscillator+decreases+to+36.8%+of+its+ini-+tial+value+in+10.0+s.+what+is+the+value+of+the+time+constant?
The oscillator's amplitude decreases with time at a time constant of five.
Given the information below:
0.368 as the amplitude fell by 36.8%.
10.0 seconds have passed.
To calculate the time constant's value:
Mathematically, the formula: gives the amplitude for damped harmonic motion.
[tex]X/X_{o} =e^{t/2r}[/tex]
t is the time.τ is the time constant.X is the instantaneous value of amplitude.[tex]X_{0}[/tex] is the initial value of amplitude.Substituting the given parameters into the formula, we have:
Time constant = 5
What is the amplitude of the oscillator?
The amplitude of oscillation is defined as distance from the mean or equilibrium position to either extreme. Oscillation is termed as one complete to and fro motion of the particle from its mean position.
What is meant by harmonic oscillation?
In classical mechanics, a harmonic oscillator is a system that, when displaced from it's equilibrium position, experiences a restoring force F proportional to the displacement x , where k is a positive constant.
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a cannonball explodes into several fragments in mid-air. the total momentum of the fragments after this explosion: group of answer choices is the same as the momentum of the cannonball immediately before the explosion is more than the momentum of the cannonball immediately before the explosion is less than the momentum of the cannonball immediately before the explosion has been changed into the kinetic energy of the fragments has been changed into radiant energy
If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.
According to the Law of Conservation of Momentum, the momentum of two or more bodies remains conserved unless an external force acts upon them.
In the given case, the force acting on the cannonball is the gravitational force which is the same as the force acting on the fragments of the cannonball after the explosion.
As the forces are the same in both cases, the momentum before and after collision remains the same.
Thus, If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.
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If a glass has an index of refraction, n = 1.52, what is the speed of light inside the glass? show calculations with equation and numbers plugged in.
If a glass has an index of refraction, n = 1.52,
The speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].
How to find the refractive index?
To find the refractive index of a material, following formula is used:
Refractive index = Speed of light in air / Speed of light in the crown glass
We are given the value of refractive index is 1.52.
We know that the speed of light is [tex]3\times10^8m/s[/tex].
We will substitute the numerical values in the formula, we get:
[tex]1.52=\frac{3\times10^8m/s}{\text{ Speed of light in crown glass} \text}\\[/tex]
[tex]\text{ Speed of light in crown glass} \text=\frac{3\times10^8}{1.52}[/tex]
Hence, the speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].
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Until the 1600s , people who investigate d problems related to our understanding of the natural works were called. .
Answer: philosophers
Explanation:
an ammeter is calibrated so that it shows a full scale deflection when it measures a current of 2.0a
The shunt resistance utilized will be 9:1 in relation to the ammeter's resistance.
A certain amount of current must flow through a moving coil meter in order for FS to be deflected. Understanding this quantity makes it easier to calculate the resistance needed to convert to a voltmeter. Consequently, the more sensitive the meter is, the less the voltage measurement method affects the actual voltage (lower current required to induce a full-scale deflection of the meter).
The full-scale deflection of an ammeter is produced with a current of 1 amp (r1 = 1V = V; r2 = 10V = 0.1V).
The ammeter's resistance to the shunt resistance was compared, with the resulting ratio being r2r1 = 0.1V V0.1V = 0.1*0.9V = 9:1.
The complete question is-An ammeter gives full scale deflection with a current of 1 amp. It is converted into an ammeter of range 10 amp. The ratio of the resistance of ammeter to the shunt resistance used will be
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A partial sum of an arithmetic sequence is given. find the sum. 5 9 13 . . . 381
The sum arithmetic sequence is 18,335 of a partial sum of an arithmetic sequence is given 5 9 13 . . . 381
Calculation
d = 9-5 = 4
a = 5
[tex]a_n[/tex] = 5 + 4(n -1) = 381
= 5 + 4n -4 = 381
= 4n +1 = 381
= 4n = 380
= n = 380/4
= 95
Now,
[tex]S_{95}[/tex] = [tex]95(\frac{5 + 381}{2} )[/tex]
= 95 × 193
= 18,335
What is arithmetic sequence?The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulas for arithmetic sequences.
The equation to determine the nth term in an arithmetic sequenceThe equation for calculating the sum of an arithmetic sequence's first n termsLearn more about arithmetic sequence
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What training intensity is required during the working rounds in high-intensity interval training (hiit)?
High-intensity exercise which is called as hiit to raise heart rate greatly to at least 80% of one's maximal heart rate.
What is high-intensity interval training?High-intensity interval training is a style of exercise that relies almost entirely on the anaerobic energy release mechanism and alternates brief bursts of vigorous or explosive anaerobic activity with brief rest periods till exhaustion.
High Intensity Tactical Training (HITT), a comprehensive strength and conditioning programme that includes programming, facilities, and training, is open to Marines who are on active duty and those who are in the reserves. It places a focus on physical toughness and readiness for war.
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What does acceleration measure?
A. Change in velocity over time
B. Change in speed over time
C. Change in distance over time
D. Change in displacement over time
Answer: A.) Change in Velocity over Time
Explanation:
The definition of acceleration is Δv/t, or the change in velocity over time. Acceleration, like velocity, will therefore have a magnitude, as well as a direction.
How many kilojoules of heat must be supplied to 4.1 g of ice at -26 oc to convert it to steam at 147 oc?
The amount of heat supplied to 4.1 g of ice at -26°C to convert it to steam at 147°C will be 12.81 kJ.
What is the heat supplied?The heat supplied is by the summation of the sensible heat and the latent heat of the substance.
Heat = Sensible heat + Latent heat
The mass of the substance is 4.1 grams (4.1 × 10⁻³ kilograms).
The sensible heat is given as
Q = mCΔT
Where C is the specific heat at constant volume (4.18 kJ / kg-K up to 100°C and 0.718 kJ / kg-K after 100°C), m is the mass and ΔT is the temperature difference.
The latent heat is given as
Q = mL, where L is the specific latent heat of a substance (334 kJ / kg at 0°C and 2230 kJ / kg at 100°C).
Heat = 4.1 × 10⁻³ × [4.18(0 + 26) + 334 + 4.18(100 - 0) + 2230 + 0.718(147 - 100)]
Heat = 4.1 × 10⁻³ × [108.68 + 334 + 418 + 2230 + 33.746]
Heat = 4.1 × 10⁻³ × 3124.426
Heat = 12.810 kJ
The amount of heat supplied to 4.1 g of ice at -26°C to convert it to steam at 147°C will be 12.81 kJ.
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Why does reduction in soil moisture content pose an impending disaster for many areas in the world?
The study, which was published in Nature, demonstrates that soil moisture levels, which are influenced by temperature increases and extreme weather conditions like droughts, can have a "significant negative influence" on a region's capacity to store carbon.
It concludes that the "CO2 fertilizations effect," a process wherein rising CO2 levels in the atmosphere boost the growth and, consequently, carbon uptake of plants, would likely cause an increase in the pace at which land absorbs carbon until the second part of this century.
The lead author told Carbon Brief that after this, the fertilizations is anticipated to "hit a pinnacle". This peak, when paired with the detrimental effects of soil moisture changes, could significantly shift the land's role as a carbon sink to source greatly accelerating climate change.
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What is the name for the difference between the value in the null hypothesis and the true population parameter?
Effect size is the name for the difference between the value in the null hypothesis and the true population parameter.
What is population parameter?A population parameter in statistics is a value that expresses information about a large group or population. It is important to distinguish between this and parameters, which are constant values for a particular mathematical function in other branches of mathematics.
Additionally, keep in mind that a population parameter is not a statistic, which provides information on a sample, or subset, of a particular population. You might be able to get a statistic that accurately represents the true value of a population with a well-designed study.
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An electron confined to a one-dimensional box of length 0.3 nm jumps from the n = 3 quantum state to the n = 2 quantum state. what is the wavelength, in nm, of the emitted photon?
232 nm is the wavelength of the emitted photon.
[tex]E = (h^{2} /8mxL^{2} )* n^{2}[/tex]
For n=3 we a energy equal :9.62 * 10^-19 J= 6.01 eV
For n=1 the energy is: 1.069 *10^-19 J=0.66 eV
The energy difference Is 5.35 eV so by using this relationship
λ=1240/Energy = 232 nm
What is a wavelength ?A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm) (mm).
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What is the equiliibrium constant k for a redox reaction involving the transfer of 6 mol electrons?
The equilibrium constant for a chemical reaction is equal to the value of the reaction. The equilibrium constant that is denoted by k is Keq = 1.8E4
What is equilibrium constant ?The equilibrium constant for a chemical reaction is equal to the value of the reaction quotient at chemical equilibrium, a state that a dynamic chemical system approaches when enough time has elapsed and at which its composition has no observable tendency to change further.
We know that,[tex]\Delta G = -nFE0[/tex]
and,[tex]\Delta G = - RT ln Keq[/tex]
So, ln Keq = (nFE0 ) / (RT) ----- (i)
E₀ = standard cell potential = 0.042 V
n = number of electrons transferred in the rxn = 6
F = 96,485 C/mol ,
R = 8.314 J / mol * K
As T is not given so assuming it to be room temperature. So, T = 298 K
Putting all the values in equation (i):
ln Keq = (6 X 96,485 C.mol-1 X 0.042 V ) / (8.314 J mol-1 K-1 X 298 K)
ln Keq = 24314.22 C.V / 2477.572 J
Now, 1 coloumb X 1 volt = 1 joule
So, ln Keq = 24314.22 / 2477.572 = 9.814
Keq = 18288
Rounding to two significant figures:
Keq = 18000 = 1.8 X 104
So in scientific notation: Keq = 1.8E4
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Assume baldwin is producing 2,325 units of bill next year. what would bill's plant utilization be?
The plant utilization Baldwin is producing 2,325 units of bill next year be 155%.
What is plant utilization of electricity?The ratio of a piece of equipment's actual use time to its prospective use time is known as the utilisation factor, often referred to as the utilisation factor. The ratio is typically explained as being the sum of the energy used throughout time divided by the maximum amount that might be used.
The "end result" of the production, transmission, and distribution of electric power is utilisation. At the utilisation point, the energy transported by the transmission and distribution system is converted into usable work, light, heat, or a combination of these things.
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Help with this pls will make brainlest
Answer:
bro just copy and paste the questions for us
Explanation:
true or false: it is possible for an object to nnove for 10 seconds at a high speed and end up with an average velocity of zero.
Yes. it is possible for an object to move for 10 seconds at a high speed and end up with an average velocity of zero.
What is average velocity?Velocity is answer to the question: How fast are you changing your position? It's basically asking for a comparison of where you are at two different times and makes rate of change quantitative. To make sense out of this, let's first write it as words equation:
The average velocity = (How far did you move?) / (How long did it take you?)
That way, doing either a bigger distance in the same time or the same distance in a shorter time both give a larger number to velocity and agree with our sense of what it means to move faster.
For the above question:
Average velocity is displacement over the time. Displacement is difference between your final position and your initial position. If you traveled in circular path, very fast, or very slow, and ended up back where you started, your displacement would be zero. Dividing your displacement of zero, by time your trip took, will give you an average velocity of zero.
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Music thudded out of the shop and mingled with some of the other noises of the city.
Add more details after the sentence.
Based on the first paragraph that acts as an opener, a sample narration is given below:
Music thudded out of the shop and mingled with some of the other noises of the city.
It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.
Indeed, this was a beautiful ceremony and although I was a tourist, I thoroughly enjoyed myself and even participated in the killing of the goat which was the reason for the festival and celebration.
What is a Narration?This refers to the storytelling that is done with the aid of a narrator in order to advance a plot.
Hence, we can see that Based on the first paragraph that acts as an opener, a sample narration is given below:
Music thudded out of the shop and mingled with some of the other noises of the city.
It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.
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