If f has a discontinuity due to a vertical asymptote at x=a, then the function has a vertical asymptote at x=a.
A vertical asymptote occurs when the function approaches infinity as x approaches a certain value from either direction. This means that the function becomes arbitrarily large as x approaches the value of the vertical asymptote, but it never actually reaches the asymptote itself.
To determine the value of x at which f has a discontinuity due to a vertical asymptote, you need to find the value of x at which the function approaches infinity. This can often be done by examining the function and looking for expressions of the form 1/0 or 0/0, which indicate that the function is becoming infinitely large as x approaches a certain value.
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A sprinter runs from the 6-meter line to the 38-meter line in 8.0 seconds. How far did she travel?
Answer: She travelled 32 meters.
Explanation:
Hope this helps!
if, in the figure below, i1 = 2 a and i2 = 6 a, which of the following is true?
In the given figure, if I = 2A and I2 = 6A, the relation between F1 and F2 is, F1 = F2.
The two forces are an action reaction forces. They act on different wires, and have equal magnitudes but opposite directions. So, they are equal.
We find the discussion of action and reaction forces in newton's third law.
According to the Newton's third law states that If there is an action force, there must be a reaction force. If there is an object A which exerts a force on object B, then object B must also exerts an equal and opposite force on object A. In other words, we can say that forces result from interactions.
Action and reaction forces acts on different objects. they exist in pair. They are always equal in magnitude and opposite in direction.
The given question is incomplete, the complete question is
n figure given below, I1-2A and I2=6a, which of the following is true? Note that F2 represents the magnet of the force on wire 2
(a) F1=3F
(b) F1=F2
(c) F1=F2/3
Option (b) is the correct answer.
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A new building was being built. (Into active)
a freight elevator weighting 3000 lbs is supported by a 12 foot cable weighing 15 lb per linear foot. find the work required to lift the elevator 10 ft by winding the cable onto a winch
The work required to lift the elevator 10 ft by winding the cable onto a winch is 28,195ft*lb
Define work done.
The result of a force's displacement and its component of force exerted by the object in the direction of displacement is what is known as the force's work. When we push a block with some force, the body moves quickly and work is completed.
3000lb * (9ft)=27000ft*lb of labour is required to lift the elevator.
A piece of rope is being lifted by the winch over a distance of 12-y from 0 to 9. The weight of each part is 14dy.
W = int0-9[14(12-y)]dy
= 15int0-1[0(12-y)]dy
W = 15[12y-.5y^2]^0-9
W = 1195 ft*lb
Total work = 27000+1195 = 28,195ft*lb
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Should an ammeter be connected in series or in parallel?
Answer:
The ammeter must be connected in series to measure the current thru it.
Suppose one had a device to measure the rate of water passing thru it - the device would have to be placed in the water line for the measurement - not in parallel with the line
When observing an object, you determine it is moving at a constant velocity and in a straight line. Which of these best describe the situation?.
The net force acting on the object must be zero.
Constant velocity:
A velocity is constant when both its magnitude and direction does not change over time. In simpler words, this is when the rate of change of position of an object remains the same throughout a period of time.
Velocity gives us information about the rate of change of object position, meaning how fast can object position is changing per unit time. In physics, velocity is defined as the displacement divided by time where displacement is defined as the difference between your final and initial positions.
Furthermore, when an object travels the same distance every second, then the object is said to be moving with constant velocity. This means that the magnitude of the velocity (or speed) and the direction of the velocity both remain constant.
Hence the net force acting on the object must be zero when it is moving at a constant velocity and in a straight line.
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an object slides across a horizontal surface such that it slows down due to the force of friction that is exerted on the object. the object and the direction of its displacement are shown in the figure. which of the following free-body diagrams could represent the forces that are exerted on the object?
F normal up, Fg down, small arrow left F friction
There are three forces acting on the sliding object across a horizontal surface. These are normal force, gravity force and friction force.
The direction of normal force is always upward. This force is acting on the object against the gravity. Gravity force is towards the center. Gravity force causes downward sliding of the object.
There is a third force also in action. Friction force exists between surface of two objects when one object is moved on the surface of another object, or is tried to move. Friction force acts against the motion of an object.
The correct option is B.
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If Juan tried to learn a long list of words, he would be most likely to forget words that
A
appeared early in the list
B
appeared near the end of the list
C
appeared in the middle of the list
D
were very unlike the rest of the words
E
were randomly dispersed throughout the list
He is most probable to forget words that are at the (c) middle of the list if she has a Long List of Words.
What is a List of Word?
As its name suggests, a list of words is an arrangement of words which can be done in a sequential manner or non-sequential manner. It can also be called as array. It is usually written in top to bottom fashion.
Assuming that there is a twenty list of words, then mostly the eye is usually focused on the early part and the last part of the list while ignoring the words that are present in middle.
Thus, we can say that Juan is most probable forget the words appearing in the middle of the list if she has a Long List of Words.
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What is bulk modulus of water?
Answer:
Water has a bulk modulus of around 300,000 psi (2.1 GPa) and so a compressibility of 3.3 106 (psi)1.
Explanation:
What increases the speed of ejected electrons?
Increasing the frequency of light waves (while maintaining a fixed amplitude) would increase the rate at which electrons are ejected, which would increase the measured electric current, according to the theories of classical physics.
What influences the quantity of electrons ejected?As a result, the quantity of photons, or the brightness of the light, determines how many electrons are ejected. A portion of the packet's energy is used to defeat the metal's electron's binding energy. The work function, or, is the name given to this tying energy. The number of electrons ejected per second grows linearly with an increase in incident light intensity at a certain frequency of radiation. Increasing the frequency of light waves (while maintaining a fixed amplitude) would increase the rate at which electrons are ejected, which would increase the measured electric current, according to the theories of classical physics.
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How do you find the maximum speed of emitted photoelectrons?
We must first calculate the kinetic energy of an emitted electron from the energy of an incoming photon and the work function of the metal surface in order to estimate the maximum speed of an emitted photoelectron (the minimum energy required for an electron to escape the metal surface).
Using the equation below, these are connected. E (total energy supplied by a photon) equals +Ek From the Planck's equation,
E=hf, where E is energy,
h is Planck's constant (6.6310(-34)Js), and
f is frequency, one may determine the energy of a single photon.
Since the wavelength is what we have here instead of the incident frequency, we can apply the equation
f=c/lambda to calculate the frequency.
F is the frequency,
c is the speed of light (3.0010(8)m/s), and
lambda is the wavelength.
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the sun radiates like a perfect blackbody with an emissivity of exactly 1. (a) calculate the surface temperature of the sun, given it is a sphere with a 7.00 108 m radius that radiates 3.80 1026 w into 3 k space.
The temperature of surface of Sun = 5743.8 K
What is Stefan's Law ?
It states that the radiation emitted from area A of a black body at absolute temperature T is directly proportional to the fourth power of the temperature,
Or, P = σeAT⁴
Radius of sun = 7.00×10^8 m
Surface area of sphere, A = 4π*r²
σ = 5.67×10^-8
Power radiated by sun, P = 3.80*10^26 W
Power radiated by a body is given by, P = σeAT⁴
∴ T = [P/(σeA)]^(1/4)
T = [3.80×10^26/(5.67×10^-8×1×4×π×(7.00×10^8)^2)] ^ (1/4)
T = 5743.8 K
Therfore the temperature of surface of Sun = 5743.8 K
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What does sonar do with seafloor spreading?
Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Sonar comes in active and passive varieties.
Why do we use sonar to investigate the ocean floor?
Due to the fact that sound waves travel further in water than radar and light waves, sonar is utilised in oceanography. The passenger freighter Robert E. Lee as captured by side-scan sonar in 2001 by the HUGIN 3000 AUV.
Reversed geomagnetic field
In the early 20th century, scientists were able to first recognise the process of seafloor spreading thanks to the magnetism of mid-ocean ridges.
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a bystander hears a siren vary in frequency from 564 hz to 376 hz as a fire truck approaches, passes by, and moves away on a straight street. what is the speed of the truck>
The vehicle travels at a speed of Vs = 68.6 m/s.
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.
Calculation:
Varying frequency of the siren = 564 Hz to 376 Hz
speed of sound = 343 m/s
speed of truck calculation
using equation of Doppler'sWhen the truck is approaching
Fs = F₀(v - vs)/v......(i)
Doppler's equation when truck is moving away
Fs = F₁(v + vs)/v ......(ii)
equating both the equation
Fs = F₀(v - vs)/v = Fs = F₁(v + vs)/v
on simplifying the above equation we get
Vs = v(F₀ - F₁)/F₀ + F₁)
F₀ = 564Hz
F₁ = 376 Hz
now,
Vs = 343 ₓ (564 - 376)/(564 + 376)
Vs = 68.6 m/s
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The primary blast cell for bone is the
O hemangioblast
O fibroblast
O chondroblast
O osteoblast
O hemocytoblast
Which of the following is NOT a type of connective tissue?
O Adipose
O Bone
O Blood
O Alveolar
O Cartilage
Connective tissue extracellular matrix is composed of
O capillaries and cells
O ground substance and cells
O collagen fibers, elastic fibers and reticular fibers
O cells and fibers
O fibers and ground substance
Which of the following statements concerning connective tissue is TRUE?
O Cartilage tissue tends to heal less rapidly than bone tissue.
O Reticular connective tissue serves as the universal packing material between other tissues.
O Connective tissues that possess a large quantity of collagen fibers often provide the framework for organs such as the spleen and lymph nodes.
O The basic difference between dense irregular and dense regular connective tissues is in the amount of elastic fibers and adipose cells present.
O A major characteristic of fibrocartilage is its unique amount of flexibility and elasticity
A ciliated version of pseudostratified columnar epithelium containing mucus-secreting goblet cells
O lines most of the respiratory tract
O aids in digestion
O is more durable than all other epithelia
O is found in some of the larger glands
O protects underlying tissues in areas subjected to abrasion in the moist linings of the esophagus, mouth and vagina
a)The primary blast cell for bone is the osteoblast b) Alveolar is NOT a type of connective tissue. c) Connective tissue extracellular matrix is composed of fibers, and a ground substance d)Cartilage tissue tends to heal less rapidly than bone tissue. e))lines most of the respiratory tract of pseudostratified columnar epithelium containing mucus-secreting goblet cells.
In addition, blast cells known as myeloblasts can form. Young blood cells made by stem cells are what these are. The synthesis of red, white, and platelet-forming blood cells can also be hampered by an excess of blast cells. Bone marrow blasts are not expected in healthy individuals. When a person develops leukemia, aberrant, immature white blood cells—known as blasts—proliferate rapidly, filling up the bone marrow and blocking the creation of other cells vital to survival, such as red blood cells and platelets. Anemia, infections, and unusual bleeding result from this. Blast cells shouldn't make up more than 5% of the bone marrow cells in healthy individuals, and they often aren't present in the blood.
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892-kg sports car is moving 14.6 m/s when it rear ends with stopped car having an identical mass at a stop light. Two cars entangle and move together after the collision. What is their speed immediately after the collision
The speed of the cars immediately after the collision will be the same as their speed before the collision, which is 14.6 m/s. In a perfectly inelastic collision, the objects involved in the collision will move together with the same speed after the collision as they had before the collision. This is because the total kinetic energy of the system is conserved in a perfectly inelastic collision.
What are 3 examples that carbon can be found in?
Carbon is also a constituent of diamonds and graphite.Diamonds, graphite, etc.Like diamond, graphite is a kind of carbon.Textiles.Carbon is found in cellulose, which is found in a variety of fabrics, including Life Itself.The basis of all life on the planet is carbon.
Where can I get examples of carbon?The majority of the carbon on Earth is preserved in sediments and rocks with the remainder found in the sea, atmosphere, or living things.These serve as the carbon cycle's reservoirs or sinks.
What kinds of objects are carbon-containing?Examples of carbon allotropes include coal, graphite, & diamonds.They differ physically while just having one type of element in common—carbon.For instance, while graphite is opaque, diamond is clear.
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15-28 a type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. what spring constant is needed to produce a period of 0.500 s for a 0.0150-kg mass?
Spring constant is needed to produce a period of 0.500 s for a 0.0150-kg mass: The required spring constant is 2.368.
What is the time period of a spring-mass system?
The time period of a spring-mass system is the amount of time it takes for the system to complete one full cycle of oscillation. This time period is determined by the system's spring constant and mass, and is calculated using the formula: T = 2π√(m/k), where m is the mass of the system and k is the spring constant. In a spring-mass system, the time period is typically short and can range from a few microseconds to several seconds. The time period of a spring-mass system is an important factor when designing a system, as it can affect the performance of the system. If a system is required to complete multiple cycles of oscillation within a given amount of time, then the time period must be short enough to accommodate this.
T = 2π√(m/K)
In the given problem,
Time period , T = 0.5 s
Mass, m = 0.0150-kg
T = 2π√(m/K)
K = 4π²m/T²
= 4× π² × 0.015 / 0.5²
= 0.592/0.25
= 2.368
Therefore the required spring constant is 2.368
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Is alpha an particle?
a 10-kg piece of aluminum sits at the bottom of a pool, right next to a 10-kg piece of lead, which is much denser than aluminum. which one has the greater buoyant force on it?
A 10-kg piece of aluminum sits at the bottom of a pool, right next to a 10-kg piece of lead. Aluminum has greater buoyant force acting on it.
Density is defined as mass per unit volume:
ρ = m /V
Where:
m = mass
V = volume
The lead is much denser than aluminum. Their densities are:
ρ_Al = 2.7 g/cm³
ρ_Pb = 11.29 g/cm³ (Pb is the symbol for lead)
From the equation, if the masses are the same, the density is inversely proportional to the volume.
In the given problem, since lead is denser than aluminum, hence, the volume of aluminum is greater than the volume of lead.
The buoyant force is equal to the weight of displaced water.
For each piece of metal, it holds
F = ρ_water x g x V_metal
Hence, the buoyant force is directly proportional to the volume of each piece of metal.
Since V_Al > V_Pb, then F_Al > F_Pb or Aluminum will experience greater buoyant force.
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The white dwarf that remains when our Sun dies will be mostly made of ______.
a) helium
b) carbon
c) neutrons
d) hydrogen
The white dwarf that remains when our Sun dies will be mostly made of
(b) carbon is correct option.
A star core remnant known as a white dwarf is primarily made up of electron-degenerate materials. White dwarfs are very dense objects with masses similar to the Sun and volumes similar to the Earth. White dwarfs do not undergo fusion, thus their feeble light is caused by the emission of leftover thermal energy. Sirius B, the smaller half of the Sirius binary star and the closest white dwarf to Earth, is 8.6 light years away. Among the 100 star systems closest to the Sun, eight white dwarfs are currently believed to exist. White dwarfs are unusually faint, and this was first noticed in 1910. Willem Lutyens first used the term "white dwarf" in 1922.
Since stars with very low masses cannot fuse helium, binary systems may experience mass loss that results in the formation of helium white dwarfs. In a white dwarf, the material no longer undergoes fusion processes, depriving the star of its energy source.
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Is frequency the distance between waves?
No , frequency of a wave is not distance between waves, it is called wavelength.
Frequency is the number of waves that pass a particular point in a given period of time. It is typically measured in Hertz (Hz), which is the number of waves per second. Wavelength, on the other hand, is the distance between two consecutive crests or troughs of a wave. It is typically measured in meters (m). So frequency and wavelength are related, but they are not the same thing. Frequency is a measure of the number of waves, while wavelength is a measure of the distance between waves.
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if we measure distance with foots how much error generates?
Answer:
It generates many of the mistakes
Explanation:
When we meassure the distance with foot uniform velocity there there may arise many problems people foots are different to each other When we are measuring the distance from foot that is uniform velocity we must be very careful the timing of time and foot should be similar If not than there may generate many errors
The great mathematician Pythagoras also used the measurement with foot and he was successful because of his timing due to this he find the circumference of earth
A room was lighted with three 100-watt bulbs for 5 hours per day. If the cost of
electricity was 9¢ per kWh, how much would be saved per day by switching to
60-watt bulbs?
To find the amount of electricity used by the 100-watt bulbs, we need to first calculate the total wattage of the bulbs by multiplying the wattage of each bulb by the number of bulbs: 100 watts/bulb * 3 bulbs = 300 watts
Next, we need to convert the time the bulbs were used from hours to seconds. Since there are 3600 seconds in an hour, the bulbs were used for 5 hours * 3600 seconds/hour = 18000 seconds.
Now we can calculate the total amount of electricity used by the 100-watt bulbs by multiplying the wattage of the bulbs by the time they were used: 300 watts * 18000 seconds = 5.4 x 10^7 joules
To convert this to kilowatt-hours, we need to divide by the number of joules in a kilowatt-hour, which is 3.6 x 10^6. This gives us a total of 1.5 kWh.
At a cost of 9¢ per kWh, the cost of using the 100-watt bulbs for 5 hours per day is 1.5 kWh * $0.09/kWh = $0.135 per day.
To find the amount of money that would be saved by switching to 60-watt bulbs, we need to repeat the above calculation using the wattage of the 60-watt bulbs instead of the 100-watt bulbs. The total wattage of the 60-watt bulbs is 60 watts/bulb * 3 bulbs = 180 watts. This means that the total amount of electricity used by the 60-watt bulbs would be 180 watts * 18000 seconds = 3.24 x 10^7 joules, or 0.9 kWh.
At a cost of 9¢ per kWh, the cost of using the 60-watt bulbs for 5 hours per day is 0.9 kWh * $0.09/kWh = $0.081 per day.
Therefore, the amount of money that would be saved by switching to 60-watt bulbs is $0.135 per day - $0.081 per day = $0.054 per day.
what is the force on the charge located at x = 8.00 cm in figure 18.52(a) given that q = 1.00 μc ?
The net force on the charge located at x = 8.0 cm in the given figure is F = +12.8 N.
According to Coulomb's law, the force on charges placed at a distance is
1) directly proportional to the product of their charges and
2) inversely proportional to the square of the distance between them.
F = K |q1q2| / r2
In the given fig
[tex]q_{1[/tex] = -1,0 μc
[tex]q_{2[/tex] = - 2,0 μc
[tex]q_{3[/tex] = + 1.0 μc
Force on q2 by q1, [tex]F_{q1q2[/tex] = K × -1 ×-2 /[tex](0.03)^{2}[/tex]
Force on q2 by q3, [tex]F_{q3q2[/tex] = K × -2× +1/ [tex](0.05)^{2}[/tex]
So net force is the difference of these two forces as they are directed in opposite direction.
So, net force is
[tex]F_{q1q2[/tex] - [tex]x_{q3q2[/tex] = +12.8 N
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friction usually acts to oppose, or slow down, the velocity of objects. which situation is an example of friction causing an increase in velocity?
There are certain situations where friction can cause an increase in velocity. One such situation is when an object is sliding down a hill or incline.
In this case, the force of gravity is pulling the object down the incline, and the force of friction is acting against this motion, pushing up against the object. However, because the incline is angled downward, the force of friction is actually able to provide an upward acceleration to the object, causing it to increase in velocity as it moves down the hill.
Another situation where friction can cause an increase in velocity is when an object is sliding along a flat surface and a force is applied to it in the direction of motion. In this case, the friction between the object and the surface can provide an additional force that helps to accelerate the object.
Friction usually acts to oppose the motion of objects, slowing them down or bringing them to a stop. It's important to note that these situations are relatively rare, and in most cases, friction will act to oppose the motion of objects and slow them down.
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What is radiogenic energy?
Answer:
Radiogenic heating is the thermal energy released as a result of spontaneous nuclear disintegrations. There are three major isotopes of the elements uranium, thorium, and potassium in the Earth's crust today.
a 60 kg skier with an initial velocity of 12 m/s coasts up a hill. at the top of the hill, the skier is traveling at 9.75 m/s. assuming there is no friction in the skis, how high was the hill?
Answer:
The height of the hill coasted by a skier of initial velocity 12 m/s is 2.5 m. And The correct option is C 2.5 m.
The high of the hill is 2.5 m
What is conservation of energy?
It states that energy can neither be created nor be destroyed.
Mass of skier,m = 60kg
initial velocity, u = 12 m/s
Final velocity, v = 9.75 m/s
As there is no friction, energy is conserved
∴ Initial kinetic energy + Initial potential energy = Final kinetic energy + Final potential energy
1/2 mu² + 0 = 1/2m v² + mgh
1/2 u² = 1/2 v² + gh
h = u² - v² /2g
= 12² - 9.75² / 2×9.8
= 48.9375/2×9.8
= 2.496 m
≈ 2.5 m
Therefore high of the hill is 2.5 m
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Is the image congruent to the preimage?
Translations, reflections, and rotations are examples of congruence transformations because the image of a figure after one of them is congruent with its preimage.
How can you tell if two images are coherent?Congruent image refers to shapes or images that are the same size and shape. Two shapes are said to be congruent if their corresponding sides and angles are of the same length.
What attributes a congruent image has?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. Images produced by dilations with scale factors k 1 are not consistent with their preimages. Dilations are neither rigid transformations or isometries.
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Two packing crates of masses 10.0kg and 5.00kg are connected by a light string that passes over a frictionless pulley as shown in Figure. The 5.00kg crate lies on a smooth incline of angle 40.0 degree . Find the acceleration of the crates and the tension in the string.
The acceleration of the string is 4.3 m/s2.
What is Acceleration?We regard the positive direction for the vertical motion of mass m1 to be downward and the positive direction for the motion of mass m2 on the incline to be to the right and parallel to the incline.
There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
Changing the speed at which an object is travelling is what acceleration is all about. A substance is not accelerating if its velocity is not changing. The information on the right depicts an object that is speeding as it moves northward.
Therefore, The acceleration of the string is 4.3 m/s2.
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.