The average fixed cost per unit at an activity level of 5,200 units is $6.00.
What is the average fixed cost?The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.
Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.
However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.
Average Fixed Cost Formula:
AFC = Total fixed cost/Output (Q)
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If an automobile gets 24.5 miles to the gallon and the cost of gasoline is $2.75 a gallon, how much will it cost to drive 975 km?
It will cost $68 to travel 975 kilometers for an automobile if the cost of gasoline is $2.75 per gallon.
This simple calculation can be explained as below calculation of the cost of driving such a distance is done by conversion of the distance into miles and multiplying such distance by $2.75.
Cost of DrivingFirst calculate the kilometers to miles.
975 kilometers is converted as 605.837 miles. Now the division of mileage of automobile will be calculated as,
Gasoline required = Distance travelled/ mileage
=605.837/24.5
=24.72 gallons of gasoline required.
Now we have to calculate the cost of gasoline.
Gasoline cost= gallons x cost per gallon
= 24.72 x 2.75
=$68
So, it is calculated that the cost of gasoline/ cost of driving is $68.0.
Hence, it would cost $68 to travel 975 kilometers for an automobile when the cost of gasoline is $2.75 per gallon.
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Conceptual, human, and technical skills are important to which managerial level?
Conceptual abilities are essential for top managers, but they are less important for mid-level managers and are not necessary for first-level managers. The value of these talents will increase as we go up the managerial ladder.
What is the difference between basic and technical skills?In general, conceptual abilities refer to the capacity to deal with ideas and concepts. Whereas technical skills are concerned with objects and human skills with people, conceptual skills are concerned with the capacity to work with ideas.
These are intellectual abilities, human abilities, and technological abilities. A manager's conceptual talents enable him or her to see the complete organisation as well as deal with ideas and the links between abstract notions. Human skills, also known as human connection skills, need communication and attention to interpersonal interactions.
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Voltage drop is a better measurement of resistance than testing static resistance because ________.
Voltage drop is a better measurement of resistance than testing static resistance because: current flow creates heat which adds to circuit resistance
The current flow or electric current is the measure of the electrons flow around a circuit. It is measured in amperes or "amps". If the current is higher the electrons flow is greater.
The course of a conventional electric current in the external circuit is directed away the positive terminal and toward the negative terminal of the battery
What is electricity?Electricity or electrical energy is the energy that occurs due to the movement of electrons in the materials that are considered conductors.
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Why is it important to center an object you are analyzing in the field of view of the microscope before switching to a higher power lens?
As magnification increases, field diameter decreases and objects at the periphery will no longer be in the visible field.
What is Lens ?A lens is a piece of transparent material that is typically round in shape with two polished surfaces that are either convex (bulging) or concave on one or both sides (depressed). The curves almost always have a constant radius of curvature since they are spherical.
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What is true about an object as its temperature increases?a. the object's atoms lose heat. b. the object's atoms gain kinetic and elastic potential energies. c. the object's atoms gain heat.
When temperature of an object is increases then the objects atom gain kinetic energy and elastic potential energies.
Kinetic energy- It is the energy of an object due to its motion.
Example - All moving object possesses kinetic energy due to their motion.
Elastic potential energy - it is the energy stored in a spring that has been stressed or compressed from its natural length.
Example - An Archers stretched bow.
Heat is a form of both potential and kinetic energy.
Temperature helps in thermal expansion which result in higher collision between particles. It increases the kinetic energy of the molecule.
an object as its temperature increases then the object's atoms gain kinetic and elastic potential energies.
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Two rocket ships approach a space station at 80% of the speed of light from opposite directions. each pilot observes the other ship approaching at __ the speed of giht
Two rocket ships approach a space station at 80% of the speed of light from opposite directions. each pilot observes the other ship approaching at 0.98 c the speed of light.
What do you understand by speed of light ?Speed of light, the rate at which light waves move through various substances. Specifically, the speed of light in a vacuum is presently calculated to be 299,792,458 meters per second. One of nature's basic constants is the speed of light.
American physicist Albert Michelson used an eight-sided spinning mirror system to conduct his research in the mountains of Southern California during the 1920s and produced one of the earliest accurate calculations of light's velocity.
It is given that
[tex]V_{AB} =\frac{V_{A} +V_{B}}{1+\frac{V_{A} V_{B} }{c^{2} } } \\V_{AB} =\frac{.8c+0.8c}{1+\frac{.8cX.8c}{c^{2} } } \\V_{AB} = 0.98c m/s[/tex]
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A car with good tires on a dry road can decelerate at about 3.0 m/s2 when braking. if the car is traveling at 65 km/h, what distance is needed to stop at the red light?
By using uniform motion, the distance needed to stop at the red light is 54.36 m.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
a = -3 m/s²
vo = 65 km/h = 18.06 m/s
vt = 0 m/s
By using the second equation, we get
vt² = vo² + 2a . s
0² = 18.06² + 2(-3) . s
6s = 326.16
s = 54.36 m
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What is the average rate from 2.0 to 6.0 seconds in mol / l s? use 4 decimal places
The average rate from 2.0 to 6.0 seconds in mol/L is 0.004025 mol/L.
What is decomposition reaction ?Decomposition reactions are those in which a reactant undergoes reaction to form two or more products.
2AX2(g) -------> 2AX(g) + X2(g)
t1 = 2.0 s and t2 = 6.0 s
x1 = 0.0249 and x2 = 0.0088
Average rate of reaction:
Ra = ∆[x]/DeltaT = X2 - X1/t2 - t1
Ra = 0.0088 - 0.0249/6 - 2 = 0.004025 mol
Thus, the average rate is 0.004025 mol/L.
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In a first order decomposition, the constant is 0.00702 sec-1. what percentage of the compound has decomposed after 7.1 minutes?
The percentage decomposed in the first order reaction is 69.8%.
What percentage of the compound has decomposed after 7.1 seconds?Given: rate constant, k = 0.00702 sec -1
time, t = 7.1 s
Since the reaction is first order, we calculate using the formula below:
[A] = [A]₀ [tex]$$e^{(-kt)[/tex]
Where; [A] is the final concentration
[A]₀ is the initial concentration
Finding the ratio of final and initial concentration
[A]/[A]₀ =[tex]$$ e^{(-kt)[/tex]
Substituting the values:
[A]/[A]₀ = [tex]e^{(-0.00702 * 7.1)[/tex]
[A]/[A]₀ = [tex]e^{(-0.0498)[/tex]
[A]/[A]₀ = 0.9514
Percentage decomposed = [A]/[A]₀ [tex]*[/tex] 100%
Percentage decomposed = 0.9514 [tex]*[/tex] 100%
Percentage decomposed = 95.1 %
Therefore, the percentage decomposed in the first-order reaction is 95.1 %.
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A solution is made by mixing 27.g of chloroform chcl3 and 55.g of acetyl bromide ch3cobr. calculate the mole fraction of chloroform in this solution. round your answer to 2 significant digits.
The Mole fraction of Chloroform in this solution is 0.336
We know that,
Mole Fraction of Chloroform = No. of moles of Chloroform / Total number of moles of the solution
No. of moles = Mass / Molar mass
Given that,
Mass of Chloroform = 27g
Mass of Acetyl bromide = 55g
Molar mass of Chloroform = 119.38 g/mol
Molar mass of Acetyl Bromide = 122.95 g/mol
No. of moles of Chloroform = 27 / 119.38 = 0.226 moles
No. of moles of Acetyl Bromide = 55 / 122.95 = 0.447 moles
Total no. of moles = 0.226 + 0.447 = 0.673 moles
Mole fraction of chloroform = 0.226 / 0.673 = 0.336
In a solution containing at least 2 components, the number of moles of one component divided by total number of moles in that solution is called Mole fraction.
Therefore, the Mole fraction of Chloroform in this solution is 0.336
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An airplane moving horizontally at 150m/s drops a package from an altitude is 490m. how long does it take the package to reach the ground? how far horizontally from the spot over which it was dropped does the package land?
Can and object have a negative position and a positive velocity? Or vice versa, a positive position and a negative velocity? Explain your reasoning, do not just give a simple sentence answer.
A long, straight metal rod has a radius of 5. 00cm and a charge per unit length of 30. 0nC/m. Find the electric field (c) 100cm from the axis of the rod, where distances are measured perpendicular to the rod's axis
The electric field at 100cm is 5.39 x 10² N/C.
We need to know about the electric field to solve this problem. The electric field is the area affected by electric force. The magnitude of electric field at a distance from long infinite length and constant charge per unit length is given by
E = λ / (2πε₀d)
From the question above, we know that
λ = 30 nC/m
λ = 30 x 10¯⁹ C/m
d = 100 cm = 1 m
By substituting the given parameter, we get
E = λ / (2πε₀d)
E = 30 x 10¯⁹ / (2π . 8.85 x 10¯¹² . 1)
E = 5.39 x 10² N/C
Hence, the electric field at 100cm is 5.39 x 10² N/C.
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How many moles of disulfur decafluoride are present in 3.46 grams of this compound?
Moles of disulfur decafluoride are present in 3.46 grams of this compound is 0.025 mol
There are 6.022 x 10^23 S2F10 units in one mole
There are 6.022 x 10^23 S2F10 units in one mole of the stuff by definition.
And thus 1.55 x 10^22 molecules/6.022 x 10^23 molecules mol^-1 =~ 0.025 mol
S2F10 is nasty stuff, though apparently it is quite odourless (this is a "good" property in a war gas, because some punter might get a lethal dose of it before he realizes he has been gassed; the substance has never been deployed in war).
What are moles ?A mole can be defined as the amount of substance that contains the same number of chemical entities (atoms, ions, molecules, etc.) as there are in 12 g of Carbon-12 isotope, as defined by the General Conference on Weights and Measures.
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Suppose that the marginal propensity to save (mps) equals 0.2. the value of the multiplier would be:_________
0.2 is the value of the marginal propensity to save (mps). The multiplier's value would be 5.
Briefing:
Multiplier = 1 / marginal saving propensity (MPS)
= 1 / 0.2
= 5.
What does marginal propensity mean?The percentage of an overall salary increase that a customer spends on purchasing goods and services rather than saving is known as the marginal propensity to consume (MPC) in economics.
How is marginal propensity determined?By dividing the change in consumer spending (C) by the change in disposable income (I), the MPC formula is created. Formula for the marginal propensity to consume is (C1 - C0) / (I1 - I0), where C0 is the initial amount spent by consumers.
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With an increase in strain rate, ductility ______ and tensile strength _____. a) decreases, decreases b) decreases, increases c) increases, increases d) increases, decreases
With an increase in strain rate, ductility decreases and tensile strength increases. Option b. decreases, increases is the correct answer
The ductility of materials decreases as the strain rate rises. The reason is that the material exhibits brittle behaviour. Material increases in tensile strength.
Ductility: A material's ductility refers to its capacity to withstand plastic deformation or drawing without breaking. As a result, it provides information on how "soft" or pliable the material is.
Tensile strength: Maximum load a material can bear without breaking when it is stretched, divided by the material's initial cross-sectional area.
Therefore, option b. is the correct answer for the given question
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Cascading style sheet rules are comprised of: ________
a) elements and attributes
b) selectors and declarations
c) selectors and attributes
d) properties and declarations
Cascading style sheet(CSS) rules are comprised of selectors and declarations.
What is Cascading style sheet?When describing the display of a document published in a markup language like HTML or XML, Cascading Style Sheets (CSS) is the language utilized (including XML dialects such as SVG, MathML or XHTML). Along with JavaScript and HTML, CSS is a key component of the World Wide Web. Layout, color, and font customization are all possible with CSS, which is made to separate display from content. By defining the pertinent CSS in a separate file, this separation can make content more accessible, give definition of presentation characteristics more freedom and control, and allow numerous web pages to share formatting.
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Changing the wavelength of a light wave also changes its:_____.
a. direction
b. frequency
c. brightness
d. speed
Answer:
frequency
Explanation:
speed of light = constant = wavelength * frequency
changing WL or F will change the other
A drop in room temperature to 65of that causes the heater to turn on provides an example of a(an):_______
Answer:
stimulus
Explanation:
What two principal factors affect the force of air resistance on a falling object?.
First, it depends on the cross-sectional/frontal area of the falling object, that is the amount of air the object must plow through as it falls. Second, it depends on the speed of the falling object.
When an object is dropped through the air, it usually faces air resistance. Air resistance is caused by collisions between the object's leading air and surface molecules. Several variables determine the actual degree of air resistance the object faces. The object's speed and the frontal area of the object are the two predominant factors that have a direct effect on the amount of air resistance. Increased speeds cause an increase in air resistance. Increased cross-sectional areas lead to increased air resistance.
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A beam of blue light in air is incident on a glass plate. will the beam transmitted through the glass plate emerge parallel to the incident beam?
If the top and bottom surfaces of the glass plates are parallel to each other, the incident and emergent beam will be parallel to each other no matter the wavelength (colour) of beam.
CASE 1 : The surface in which the beam is incident is parallel to the surface from which the beam is emitted. In this case, the incident and emergent ray are always parallel to each other no matter the wavelength (colour) of beam.CASE 2 : The surface in which the beam is incident is not parallel to the surface from which the beam is emitted. In this case, the incident and emergent ray are not parallel to each other.Refractive index is the lights bending ability when moving from one medium to another. Refractive index varies with colours but not angle of incidence and emergence.
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A typical galaxy contains 100 billion stars. express this in scientific notation.
A typical galaxy contains 100 billion stars - its scientific notation is x 10^11 stars.
What is typical galaxy?A world is a gravitationally bound arrangement of stars, heavenly leftovers, interstellar gas, residue, and dim matter. The word is gotten from the Greek galaxias, in a real sense 'smooth', a reference to the Smooth Way world that contains the Planetary group. Cosmic systems, averaging an expected 100 million stars, range in size from diminutive people with under a hundred million stars, to the biggest worlds known supergiant's with one hundred trillion stars, each circling its universe's focal point of mass. Our world, the Smooth Way, is normal: it has many billions of stars, enough gas and residue to make billions additional stars, and somewhere around tenfold the amount of dull matter as every one of the stars and gas set up. Also, it's completely kept intact by gravity. Like more than 66% of the known universes, the Smooth Way has a twisting shape.
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at a time t after being projected from the ground, a projectile is displaced x units horizontally and y units vertically above its point of projection. (use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity.)
The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]
The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t
We know that,
x = [tex]v_{0x}[/tex] t
y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]
where,
x = Horizontal displacement of the object
y = Vertical displacement of the object
g = Acceleration due to gravity
t = Time of motion
For horizontal motion there is constant velocity and for vertical motion there is uniform acceleration.
The vertical component of the initial velocity is given as
y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]
[tex]v_{0y}[/tex] t = y + ( 1/2) g[tex]t^{2}[/tex]
[tex]v_{0y}[/tex] = ( y/t ) + ( 1/2 ) gt
The horizontal component of the initial velocity is given as
x = [tex]v_{0x}[/tex] t
[tex]v_{0x}[/tex] = x / t
A projectile motion is the motion of an object thrown in air at some angle with the horizontal.
Therefore,
The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]
The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t
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Three liquids have densities of 1.15 g/ml, 0.79 g/ml and 0.95 g/ml. when the liquids, which do not mix, are poured into a graduated cylinder, the liquid at the top is the one with a density of:________
The liquid at the top is the one with a density of 0.79 g/ml.
The matter with most density will stay at the bottom of the graduated cylinder. So when comparing the three given densities of 1.15 g/ml, 0.79 g/ml and 0.95 g/ml, the lowest density is 0.79 g/ml.
Density is nothing but weight of the matter. So basically the lighter one stays at top.
Therefore, the liquid at the top is the one with a density of 0.79 g/ml.
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According to equation 11.22, the energy is inversely proportional to the square of the length of the box. how would you account for this dependence in terms of the heisenberg uncertainty principle?
Equation 11.22
[tex]E = \frac{n^{2}*h^{2} }{8ML^{2} }[/tex]
Heisenberg's uncertainty principle states that the position and momentum of microscopic moving particles cannot be determined simultaneously with accuracy or certainty.
Mathematical expression- ΔX×ΔP [tex]\geq[/tex] 4πh.
Momentum can be defined as the product of mass of the body and its velocity.
According to the equation 11.22, Energy (E) is depends upon the position (h) and mass (M) and also it is inversely proportional to the square of the length of the box (L), therefore it is not possible to calculate the exact value of energy using the above equation.
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The sun has a surface temperature of approximately 5800 k. at what wavelength does the maximum energy radiated by the sun occur?
wavelength at the maximum energy radiated by the sun is
499× 10⁻⁹m (499nm)
wavelength at the maximum energy radiated by the sun occur measure by:
wien's displacement law : The black body radiation at a wavelength is inversely proportional to temperature.
acc. to wien's displacement law
λ= b/T
λ is wavelength
where T is the temperature
The sun has a surface temperature of approximately 5800 k.
b is constant of proportionality
b = 2.8977×10⁻³mk
T = 5800k
using values in above equation
λ = 2.8977 × 10⁻³ mk/ 5800k
λ= 499× 10⁻⁹m =499nm
wavelength at the maximum energy radiated by the sun is
499× 10⁻⁹m =499nm
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I need some serious help, i do not understand this question!!
An Alaskan rescue plane traveling 47 m/s
drops a package of emergency rations from
a height of 179 m to a stranded party of
explorers.
The acceleration of gravity is 9.8 m/s^2
Where does the package strike the ground
relative to the point directly below where it
was released?
Answer in units of m.
The position where the package strikes the ground is 136.3m.
Time of motion of the package
Use the following kinematic equation;
h = vt + ¹/₂gt²
179 = 47t + ¹/₂(9.8)t²
179 = 47t + 4.9t²
4.9t² + 47t - 179 = 0
solve the quadratic equation using formula method;
a = 4.9, b = 47, c = -179
t = 2.9 seconds
Horizontal distance traveled by the packageX = vt
X = 47m/s x 2.9 s
X = 136.3 m
Thus, the position where the package strikes the ground is 136.3m.
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Infrared radiation has wavelengths ranging from about 800 nm to 1 mm. What is the corresponding frequency of radiation of a wavelength of 970 nm?.
The corresponding frequency of infrared radiation of a wavelength of 970 nanometer (nm) is 3 x 10^14 Hertz.
The relation between the frequency and wavelength of a radiation is as follows:
c = f x λ
Here c = speed of light = 3 x 10^8 m/s
So, the frequency of a given wavelength can be calculated by applying the above formula,
Putting λ = 970 nm = 970 x 10^-9 m
3 x 10^8 m/s = f x 970 x 10^-9
f = 3 x 10^14 Hz.
Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.
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What is the highest speed during the motion.
Answer: 20mm/s
Explanation: Maximum displacement in shortest time....
The electrons lost from chlorophyll photooxidation are replaced by the oxidation of water. how many electrons are generated from the oxidation of one water molecule?
There are 2 electrons generated from the oxidation of one water molecule.
Describe photooxidation.The process of a substance interacting with oxygen or losing electrons from chemical species under the influence of light is known as photooxidation. Photooxidation happens in plants when there is environmental stress. It is called photooxidative stress as a result. Reactive oxygen species are produced by the absorption of excess excitation energy in plant tissues. Chloroplasts are harmed by the accumulation of these reactive oxygen species, which is a damaging process in plants. High-intensity light and little [tex]CO_{2}[/tex] are the two conditions that cause this photooxidative stress to occur most frequently. It is a procedure that requires light. Photorespiration in [tex]C_{3}[/tex] plants guards against photooxidation.
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