The maximum theoretical efficiency of open cycle gas can be calculated using the Carnot efficiency formula. The Carnot efficiency formula is given as:ηC = 1 - T2/T1
Where T2 is the temperature of the exhaust gas exiting the gas turbine and T1 is the temperature of the gas entering the combustion chamber. The maximum temperature for an open cycle gas turbine is around 150° C.T1 can be taken as the temperature at which the air is drawn into the compressor.
For gas turbines, this is typically around 15° C. Substituting these values into the formula:ηC = 1 - T2/T1ηC = 1 - (150+273)/(15+273)ηC = 1 - 423/288ηC = 0.357 or 35.7%Therefore, the maximum theoretical efficiency of open cycle gas is 35.7%.
Note: The Carnot efficiency formula provides an upper limit to the efficiency that can be achieved by any heat engine operating between two given temperatures. However, it is not possible to achieve this efficiency in practice due to various thermodynamic losses and irreversibilities.
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A rabbit runs a distance of 60 meters in 20s. What is the average speed?
Answer:
3 m/s
Explanation:
Given,
Total distance = 60 m
Total time = 20 s
We know that,
Average speed = Total distance/Total time
=> Average speed = 60 m/20 s
=> Average speed = 3 m/1 s
=> Average speed = 3 m/s
Average speed=Total distance/Total time
\(\\ \sf\longmapsto Average\:Speed=\dfrac{60}{20}\)
\(\\ \sf\longmapsto Average\:Speed=3m/s\)
It is rare to see a helium flash because Choose one: A. the flash is not very bright. B. the flash does not take very long. C. stars that go through this stage are all far away. D. few stars go through this stage.
The correct answer to the question is D. Few stars go helium flash stage this stage is relatively short-lived and only occurs in a small fraction of stars.
During the helium flash, which occurs in the core of low-mass stars, helium nuclei start to fuse together to form heavier elements like carbon. This process releases a tremendous amount of energy and causes a rapid increase in the star's brightness. However, this stage is relatively short-lived and only occurs in a small fraction of stars.
1. The helium flash occurs in the core of low-mass stars, typically those with less than about 2.3 times the mass of the Sun.
2. In these stars, the core temperature reaches a critical point where helium nuclei can start fusing together through a process called helium burning.
3. The fusion of helium nuclei produces energy, which causes a rapid increase in the star's luminosity.
4. However, the helium flash is relatively short-lived, lasting only a few thousand years.
5. After the helium flash, the star settles into a more stable phase of nuclear burning, where helium burning continues at a slower rate.
6. It's important to note that not all stars go through the helium flash stage. Only stars with a specific mass range and evolutionary path experience this phenomenon.
7. Therefore, the correct conclusion in one line is: Few stars go through the helium flash stage.
In summary, the rarity of observing a helium flash is due to the fact that only a small number of stars go through this stage, and it is a relatively short-lived event in the life cycle of a star.
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To what subnet does the ip address 10.1.100.50 belong if a subnet mask of 255.255.0.0 is used?
The IP address 10.1.100.50 belongs to the subnet 10.1.0.0 when a subnet mask of 255.255.0.0 is used.
When the subnet mask 255.255.0.0 is applied, it indicates that the first two octets (10.1) are the network address, and the last two octets (100.50) are available for host addresses within that network. This subnet mask allows for a larger number of host addresses compared to a subnet mask with a higher number of network bits.
By matching the network portion of the IP address with the network address derived from the subnet mask, we can determine the subnet to which the IP address belongs. In this case, the subnet is 10.1.0.0.
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a sphere of diameter 6.0
cm is moulded into a thin wire of diameter 0.2 mm calculate the length of the wire in metres
Answer:
V1 = 4/3 pi R^3 = pi D^3 / 6 D = 2 R volume of sphere
V2 = pi r^2 L = pi d^2 L / 4 volume of wire
V2 / V1 = 1 = 3/2 d^2 L / D^3 since volumes are equal
L = 2/3 D^3 / d^2 = 2/3 * 6^3 / .02^2 = 360,00 cm = 3600 m
Why does time seem to flow only in one direction?
Answer:
Time seem to flow in only one direction because it's from entropy. In tiny physics, time is directionally neutral.
Explanation:
Answer:
objects that store memories heat up as the operate(computers and brains). heat(energy) generation increases entropy. entropy is a measure of disorder. entropy is an irreversible process, so the laws of thermodynamics(law 1. energy can't be created or destroyed law 2. the total entropy must increase) require that such objects can only run in one direction: from past to present
1. A student carries a 12 kg box up a flight of stairs at a slow constant speed in 4. 5 seconds. The height
of the flight of stairs is 3. 6 meters.
a. What is the weight of the box? (in other words, its force in Newtons)
Want:
Given:
Can someone help me which this physic homework please?
Formula:
Solve:
b. How much work does the student do on the box? Draw a problem solving box!
c. What is the student's output power? Draw a problem solving box!
can someone help me with this physic homework pleas?
The weight of the box is 120N and work done is 432J.
We know that weight is just the force.
Weight = F = mg
where, m = mass of the body = 12kg
g = acceleration due to gravity = 10 m/s^2
Putting these values in above equation we get : F = 120 N
So, the weight of the box is 120N.
We know that work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Now Work done by an object is given by : W = F.d
where,
F = force acting
d = displacement = 3.6 m
Putting these values in above equation we get: W = 120 * 3.6 = 432J
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Before interacting with matter, an incoming x-ray photon may be referred to as which of the following?
A. Attenuated photon
B. Primary photon
C. Ionized photon
D. Scattered photon
Before interacting with matter, an incoming x-ray photon may be referred to as a "primary photon". Correct answer is Option B.
Primary photons are the initial x-ray photons emitted from the x-ray source before they encounter any form of interaction with matter. These photons have not yet undergone any scattering, attenuation, or ionization processes caused by interactions with atoms or molecules.
Attenuated photons (Option A) are those that have passed through matter and experienced a reduction in intensity or energy due to absorption or scattering. Ionized photons (Option C) refer to photons that have caused ionization of atoms or molecules by transferring sufficient energy to remove an electron from an atom or molecule.
Scattered photons (Option D) are photons that have undergone a change in direction due to interaction with matter, either through Compton scattering or Rayleigh scattering.
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Can someone explain to me what omega(ω) represents and what theta(θ) represents when it comes to angular motion?
Answer:
the twenty-fourth, and last, letter of the Greek alphabet (Ω, ω), transliterated as ‘o’ or ‘ō.’.
Explanation:
a large reflecting telescope has an objective mirror with a 12.0 m radius of curvature. what angular magnification in multiples does it produce when a 3.05 m focal length eyepiece is used?
The angular magnification produced by the reflecting telescope when a 3.05 m focal length eyepiece is used is approximately -1.97.
To calculate the angular magnification produced by a telescope, we can use the formula
Angular Magnification = - (fobjective / feyepiece)
Where:
fobjective is the focal length of the objective mirror
feyepiece is the focal length of the eyepiece
In this case, the objective mirror has a radius of curvature of 12.0 m, so its focal length (fobjective) is half of the radius of curvature:
fobjective = 12.0 m / 2 = 6.0 m
The focal length of the eyepiece is given as 3.05 m (feyepiece).
Substituting the values into the formula:
Angular Magnification = -(6.0 m / 3.05 m)
Angular Magnification = -1.97
Since the angular magnification is negative, it indicates that the image produced by the telescope is inverted.
Therefore, the angular magnification produced by the reflecting telescope when a 3.05 m focal length eyepiece is used is approximately -1.97.
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PLEASE READ THIS FIRST SO WE GET THE CORRECT ANSWER
In studies about new medicines, researchers usually give one group of patients the medicine that is designed to treat an illness. They give another group of patients a placebo, which is taken the same way as the medicine but does not actually contain the ingredients of any medicine. Different medicines are tested in different experiments, but the placebos usually contain the same non-medical ingredients. If both groups of patients are healed, then researchers cannot be sure whether the medicine caused improvement, but if the group given the medicine is healed while the group given the placebo remains ill, researchers can conclude that the medicine causes the illness to go away.
IN MEDICAL EXPERIMENTS, WHICH GROUP RECEIVES PLACEBOS?
A.the experimental group
B.the control group
C.both the experimental and control groups
D.neither the experimental nor control group
Answer:
B=the control group
Explanation:
Answer:
B
Explanation:
a certain substance has a dieleectric constant of 2.8 and a dielectric strength of 18 mv/m. if it is used as the dielectric material in a parallel-plate capacitor, what minimum area should the plates of the capacitor have to obtain a capacitance of
The minimum area of the plates of the capacitor to obtain a capacitance of the given dielectric constant and dielectric strength is 107.41 m².
Dielectric constant of substance k = 2.8Dielectric strength E = 18 MV/m Capacitance of parallel plate capacitor C = εA/d = kε₀A/dwhere, ε₀ = permittivity of free space = 8.85 * 10⁻¹² F/m²The formula for capacitance of a parallel-plate capacitor with dielectric material is given byC = εA/dwhere,C = capacitance of the capacitor in Faradsε = permittivity of the dielectric material in Farads/meterA = area of the capacitor plates in m²d = distance between the plates in meters
We have to find out the minimum area of the plates of the capacitor to obtain a capacitance of the given dielectric constant and dielectric strength.
In order to find out the minimum area of the capacitor plates, we need to substitute the given values in the formula for capacitance of parallel plate capacitor with dielectric material.
C = kε₀A/dε = ε₀kC/d
We can also write ε₀ = 1/μ₀c²where, μ₀ = permeability of free space = 4π * 10⁻⁷ H/m and c = speed of light = 3 * 10⁸ m/sNow, we get ε = 1/(μ₀c²) * kC/dSubstituting the values,ε = 1/(4π * 10⁻⁷ * 9 * 10¹⁶) * 2.8 * 8.85 * 10⁻¹² * C/18 * 10⁶ = 8.12 * 10⁻¹² C/VC = εA/dA = Cd/εWe have,C = εA/d = 8.12 * 10⁻¹² * A/0.000018
Therefore, the minimum area of the plates of the capacitor should beA = Cd/ε = 2.8 * 8.85 * 10⁻¹² / (8.12 * 10⁻¹² * 0.000018) = 107.41 m²
Therefore, the minimum area of the plates of the capacitor to obtain a capacitance of the given dielectric constant and dielectric strength is 107.41 m².
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A block of wood has A mass of 200g give the mass in kg showing long conversion
Conversion of mass from grams into kg :
\(1kg = 1000g\)\(1g = \dfrac{1}{1000} \: kg\)\(200g = \dfrac{200}{1000} \: kg\)\(200g = 0.2kg\)How is the 3rd law different from the 1st and 2nd laws?
Answer:
In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Explanation:
Please help need to know ASAP.
Eventually, even though she is still pedalling as fast as she can, she stops accelerating and her speed reaches a maximum value. Explain in terms of the forces acting why this happens.
In this question am I correct if my answer is that:
It is because of the force of the wind that is coming from both in front of her and behind her that prevents her from accelerating and decelerating.
or is it that she just decelerates from there and can no longer accelerate.
If not please can you explain to mean.......
Answer: because she is pedalling at her maximum speed produced by the maximum force applied. At constant speed, acceleration is equal to zero.
Explanation:
Pedalling of bicycle involves application of force. The force applied produces circular motion to the tires which eventually transform into linear speed.
V = wr
Where V = linear speed
W = angular speed
r = radius.
Change in speed V will lead to acceleration or deceleration depending on increase or decrease in speed.
If she stops accelerating, then, she must have applied force that makes her pedalling at maximum speed. She is also maintaining this uniform (constant ) speed. After reaching her maximum speed.
At constant speed, acceleration = 0
Base on this explanation, even though she is still pedalling as fast as she can, which at constant speed, she will stop accelerating and her speed reaches a maximum value because she is pedalling at her applied maximum force.
Answer:
Resistive forces get bigger as the speed increases and eventually they reach the point where the pedalling forces become balanced and therefore there is no further acceleration.
Explanation:
Hope this helps:))
In a Stern-Gerlach type of experiment on an atom (such as boron) with a single 2p electron, into how many components would the beam be split? (a) 2 (b) 3 (c) 5 (d) 6 (e) 8
It's important to note that the number of components into which the beam is split depends on the number of possible spin states for the electron(s) in the atom being tested. the correct option is (a) 2
In a Stern-Gerlach experiment, a beam of atoms is passed through a magnetic field gradient, which causes the beam to split into multiple components based on the orientation of the atom's spin. In the case of an atom with a single 2p electron, the electron can have one of two possible spin states: up or down. Therefore, the beam would be split into two components corresponding to the two spin states of the electron.
Therefore, the correct answer to this question is (a) 2. It's important to note that the number of components into which the beam is split depends on the number of possible spin states for the electron(s) in the atom being tested. For example, an atom with two 2p electrons would have four possible spin states (up-up, up-down, down-up, and down-down) and would be split into four components.
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A quantity of steam (250 g) at 128°C is condensed, and the resulting water is frozen into ice at 0°C. How much heat was removed?
the heat removed from the steam is 128000 J.
When steam is condensed into water, its temperature decreases from 128°C to 0°C. During this process, heat is removed from the steam and transferred to the surrounding environment. This heat transfer can be calculated using the equation:
q = m * c * ΔT
where q is the heat transferred, m is the mass of the steam, c is the specific heat capacity of water, and ΔT is the change in temperature.
For steam, the specific heat capacity is about 4.184 J/g°C. For water, the specific heat capacity is about 4.184 J/g°C as well.
Plugging in the values, we have:
q = 250 g * 4.184 J/g°C * (128°C - 0°C)
q = 250 * 4.184 * 128
q = 128000 J
Newton’s 3rd law is for every action, there is an equal and opposite reaction
True of false
Answer:
true
Explanation:
newton's third law of motion states that if body A exerts a force on the body B, then body B will exert an equal and opposite force on body A,
this is called action reaction pair
hope this helps
Two satellites A and B of the same mass are going around earth in concentric orbits. The distance of satellite B from earth's center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A?
To determine the ratio of the centripetal force acting on satellite B compared to that acting on satellite A, let's consider the given information and use the formula for centripetal force:
1. Both satellites have the same mass (m).
2. The distance of satellite B from Earth's center is twice that of satellite A (rB = 2rA).
The formula for centripetal force (Fc) is:
Fc = (G * m * M) / r^2
where G is the gravitational constant, m is the mass of the satellite, M is the mass of Earth, and r is the distance between the satellite and Earth's center.
For satellite A:
FcA = (G * m * M) / rA^2
For satellite B:
FcB = (G * m * M) / rB^2
Now we find the ratio of FcB to FcA:
FcB / FcA = [(G * m * M) / (2rA)^2] / [(G * m * M) / rA^2]
Since G, m, and M are constant, we can simplify this expression:
FcB / FcA = (rA^2) / (2rA)^2 = 1 / 2^2 = 1 / 4
The ratio of the centripetal force acting on satellite B compared to that acting on satellite A is 1:4.
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A supersonic flow at m1 = 1.58 and p1 = 1 atm expands around a sharp corner. if the pressure downstream of the corner is 0.1306 atm, calculate the deflection angle of the corner
The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow.
To calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory.
Given the initial Mach number (m1) of 1.58 and the initial pressure (p1) of 1 atm, we need to find the deflection angle.
First, we can use the Mach angle formula:
Mach angle (θM) = arcsin(1/m1)
Substituting the given Mach number, we have:
θM = arcsin(1/1.58)
Using a calculator, we find that θM is approximately 37.1 degrees.
Next, we can use the Prandtl-Meyer function to find the Mach angle downstream of the corner (θ2). The Prandtl-Meyer function relates the Mach angles before and after the expansion.
The Prandtl-Meyer function is defined as:
ν(M) = √((γ+1)/(γ-1)) * arctan(√((γ-1)/(γ+1)*(M²-1))) - arctan(√(M²-1))
where γ is the ratio of specific heats and M is the Mach number.
To find θ2, we can rearrange the equation and solve for M2 (Mach number downstream of the corner):
M2 = √(1 + (ν2/√((γ+1)/(γ-1))))
Since ν1 = θM and ν2 = θ2, we can rewrite the equation as:
M2 = √(1 + (θ2/√((γ+1)/(γ-1))))
Now, we can find the Mach number downstream of the corner using the given pressure downstream (p2 = 0.1306 atm) and the ratio of specific heats (γ).
Using the isentropic relation for supersonic flow:
(p2/p1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Substituting the given values, we have:
(0.1306/1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Solving this equation will give us the Mach number downstream of the corner (M2).
Finally, using the equation:
θ2 = ν2 - ν1
we can find the deflection angle (θ2) by subtracting the Mach angle before the corner (θM) from the Mach angle downstream of the corner (θ2).
In conclusion, to calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory. By finding the Mach angle before and after the corner, and subtracting them, we can determine the deflection angle. The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow. By substituting the given values, we can find the Mach number downstream of the corner and calculate the deflection angle.
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An elevator does 15,000 jolts of work while exerting a force of 10,000 N to take people to the top floor of a building what distance does the elevator travel
The elevator travels a distance of 1.5 meters
The distance traveled by elevator can be calculated by the simple work equation:
W = F × d
∴, d = W ÷ F
where W is the work done, F is the force exerted and d is the distance traveled.
Now we have work and force as the elevator does 15,000 J of work and exerts a force of 10,000 N
∴, d = 15,000 J ÷ 10,000 N
d = 1.5 meters
So the elevator travels a distance of 1.5 meters while taking people to the top floor of a building.
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Explain COGS and give an example. 3pt. 2. Explain OH and give an example. 3pt. 3. Explain PP\&E and give an example. 5pt. 4. Illustrate the J-curve. 8pt. 5. What are the 3 F's? 2pt. 6. What does CULT stand for? Explain and give examples. 5pt. 7. What is a Beta? Explain. 5pt. 8. Illustrate the Break-Even graph. 8pt.
COGS stands for Cost of Goods Sold. It represents the direct costs incurred in producing or acquiring the goods or services that a company sells to generate revenue. It includes the cost of raw materials, direct labor, and manufacturing overhead directly associated with the production process. For example, in a bakery, the cost of flour, sugar, and other ingredients, as well as the wages of the bakers involved in producing the bread, would be part of the COGS.
OH stands for Overhead. It refers to indirect costs incurred in the production process that cannot be directly attributed to a specific product or service. Examples of overhead costs include rent, utilities, salaries of administrative staff, and depreciation of equipment.
PP&E stands for Property, Plant, and Equipment. It represents the long-term tangible assets that a company uses in its operations. Examples include buildings, machinery, vehicles, and land. These assets are not easily converted into cash and are expected to be used over multiple accounting periods.
The J-curve is a graphical representation that shows the initial negative impact of an investment or policy change followed by a positive effect over time. It forms a shape resembling the letter "J" on a graph. The curve indicates that in the early stages, there may be a decline or negative impact, but as time progresses, the situation improves and leads to positive results. It is often used to illustrate the short-term costs or losses associated with investments before they generate positive returns in the long run.
The 3 F's refer to the three fundamental financial statements: the Income Statement, the Balance Sheet, and the Cash Flow Statement. These statements provide essential information about a company's financial performance, position, and cash flows. The Income Statement shows revenue, expenses, and net income or loss over a specific period. The Balance Sheet presents the company's assets, liabilities, and equity at a given point in time. The Cash Flow Statement provides information on the cash inflows and outflows, including operating activities, investing activities, and financing activities.
CULT stands for Customers, Understanding, Learning, and Teaching. It is a customer-centric approach to business that focuses on building strong relationships with customers by understanding their needs, continuously learning from them, and effectively communicating and teaching them about products or services. This approach aims to create loyal customers who not only make repeat purchases but also become advocates for the brand. Examples of CULT practices include conducting customer surveys, personalizing marketing messages, offering educational resources, and providing exceptional customer service.
In finance, Beta represents the measure of a stock's or investment's volatility in relation to the overall market. It measures the sensitivity of an asset's returns to changes in the market. A Beta of 1 indicates that the asset's price moves in line with the market. A Beta greater than 1 suggests higher volatility compared to the market, while a Beta less than 1 indicates lower volatility. For example, a Beta of 1.5 implies that the asset is expected to be 50% more volatile than the market.
The Break-Even graph is a graphical representation that shows the point at which total revenue equals total costs, resulting in zero profit or loss. It helps determine the level of sales or production volume needed to cover all fixed and variable costs. The graph plots the total revenue and total cost curves on the same axis. The break-even point is the intersection of these two curves. Below the break-even point, the company incurs a loss, while above the break-even point, it generates a profit. The graph visually illustrates the relationship between costs, revenue, and profit at different levels of output or sales.
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defend the use of renewable or non renewable resources. help please will give brainliest
Answer:
Renewable sources are better because they don't damage the environment. As of now, there is a r=lot of damage already done to the environment thanks to non-renewable resources, and soon a lot of this damage will be irreversible. Another good thing about renewable resources is that that it is unlimited, this means that it is a steady source of energy and items.
Non renewable resources are good for the economy. People are so used to using non renewable resources that they might not want to switch over to renewable resources. People will keep buying these product so it is a steady item to invest in and profit off of. Non renewable resources also have a lot more research on them and people have found multiple different ways to utilize it so people might like it more.
During a collision with another car, the occupants of a minivan initially travelling at 4.0 m/s come to a complete stop in 0.5 s. What was the acceleration of the occupants of the minivan?
a) 8.0 m/s2
b) –8.0 m/s2
c) 2.0 m/s2
d) –2.0 m/s2
Answer: b) - 8.0 \(m/s^{2}\)
Explanation: Acceleration is a vector indicating a rate an object's velocity changes over time:
a = \(\frac{v}{t}\)
and its SI unit is \(m/s^{2}\)
For the minivan to stop, it takes a period of 0.5s:
a = \(\frac{4.0}{0.5}\)
a = 8.0 \(m/s^{2}\)
As a vector, acceleration has magnitude (8\(m/s^{2}\)) and direction. Since it is stopping, the minivan has a direction opposite to the other car, which means acceleration is negative. So: a = \(- 8.0 m/s^{2}\).
The sum of the digits of 2 digit number is 7. The number obtained by interchanging the digits exceed the original number by 27. Find the number
Given that the sum of the digits of a 2-digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27, the number is 25.
To find the number, we need to form the equations accordingly.Let us consider the 2-digit number to be 10x + y, where x and y represent the tens and units digits of the number respectively.Then, we get the following equations from the given data:
x + y = 7 ----(1)
10y + x – (10x + y) = 27 or 9y – 9x = 27 or
y – x = 3 ----(2)
On solving both equations, we get:
x = 2, y = 5
Therefore, the 2-digit number is 25.
Given that the sum of the digits of a 2-digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27. Let us consider the 2-digit number to be 10x + y, where x and y represent the tens and units digits of the number respectively. Then, we get the following equations from the given data:
x + y = 7 ----(1)
10y + x – (10x + y) = 27 or
9y – 9x = 27 or y – x = 3 ----(2)
On solving both equations, we get:x = 2, y = 5
Therefore, the 2-digit number is 25.Hence, the number is 25.
Therefore, the number is 25.
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POSSIBLE 1. Which of the following are examples of a physical reactions: (1) ice melting, (2) pencil breaking, (3) iron rusting, (4) wood burning? a. 1.4 b. 3,4 c. 2.3 d. 1,2
Answer:
D) 1 & 2
Explanation:
Ice melting can be refrozen and although the pencil breaks, it doesn't change the chemical formula of the pencil
What is a frequency of a ships whistle if the velocity of sound is 340 meters/ second and the wave length is 1.70?
A.)200 hertz
B.)253hertz
C.)340hertz
D.)532hertz
Answer:
A
Explanation:
As u will divide the sound of air with The length which is also the alternative formula for calculating frequency
How much ibs does ur backpack weigh?
Answer:
12 pounds mine does
Explanation:
Answer: 10 pnds
Explanation:
A loaded truck collides with a car causing huge damage to the car. Which of the following is true about the collision? *
A. The force on the truck is greater than the force on the car
B. The force on the car is greater than the force on the truck
C. The force on the truck is the same in magnitude as the force on the car
D. During the collision the truck makes greater displacement than the car
E. During the collision the truck has greater acceleration than the car
The force on the truck is the same in magnitude as the force on the car.
The impulse experienced by an object during collision is directly proportional to the applied force and time of collision of the objects.
J = Ft
where;
J is the impulse experienced by the objectt is the timeThe increase in the force applied to an object causes an increase in the impulse experienced by the object.
Also, according to Newton's third law of motion, the force exerted on the loaded truck and the car are equal in magnitude but opposite in direction.
Thus, we can conclude that, the force on the truck is the same in magnitude as the force on the car.
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A freight train traveling with a velocity of −4.0 m/s begins backing into a train yard. If the train's average acceleration is −0.27 m/s^2 , what is the train's velocity after 17 s?
Answer:
−8.59 m/s.
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = −4.0 m/s
Acceleration (a) = −0.27 m/s²
Time (t) = 17 s
Final velocity (v) =?
Acceleration is defined as the change of velocity with time. Mathematically, it is expressed as:
Acceleration = change of velocity / time
Acceleration = (final velocity – Initial velocity) / time
a = (v – u) / t
With the above formula, we can determine the velocity of the train after 17 s. This can be obtained as follow:
Initial velocity (u) = −4.0 m/s
Acceleration (a) = −0.27 m/s²
Time (t) = 17 s
Final velocity (v) =?
a = (v – u) / t
−0.27 = (v – –4 ) / 17
−0.27 = (v + 4 ) / 17
Cross multiply
−0.27 × 17 = v + 4
−4.59 = v + 4
Collect like terms
−4.59 – 4 = v
−8.59 = v
v = −8.59 m/s
Thus, the velocity of the train after 17 s is −8.59 m/s.
if you double a blackbody’s temperature, by what factor does its radiated power increase?
If you double a blackbody's temperature, its radiated power will increase by a factor of 16.
According to Stefan-Boltzmann's law, the radiated power of a blackbody is proportional to the fourth power of its temperature (T^4). Therefore, if you double a blackbody's temperature, its radiated power will increase by a factor of 2⁴ = 16. Doubling the temperature results in an increase in radiated power by a factor of 16 because the power is directly proportional to the fourth power of the temperature. This relationship highlights the significant impact that temperature has on the amount of radiation emitted by a blackbody.
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