Answer:
Explanation:
If you are not told otherwise, you have to assume that the voltage source is ideal, meaning that it can maintain its voltage regardless of what resistances (or other loads) are in the circuit, and that it has the means to provide whatever current is necessary to maintain that voltage.
0
Okay, it's an interesting question. Your problem is right: the brightness stays the same.
First of all, I can't resist saying that I would expect 0 brightness haha. Because the circuit, as it is drawn, has no power sources. I guess the upper element is meant to be a voltage source. However, if you write "V" in the circle, that's the symbol of a volt-meter, not a power source. Consider changing the symbol for a battery or a voltage source.
After that comment, let's suppose the circuit consists in two lamps, a resistor and a voltage source, all of them in parallel.
The key is that
A voltage source provides a fixed voltage, but the current it provides is unknown, as it depends on the circuit to which it is attached.
That's the first idea. The second one is:
A lightbulb can be regarded as a resistance, at first level approximation.
That means that we have 3 resistances in paralell.
Two of those resistances are fixed (light bulbs). Constant voltage, and constant resistance, imply constant current.
\(IP=VRP;IQ=VRQ;\)
The variable resistance allows changing the current through that resistance. Ivar=V/Rvar
But the total current is IP+IQ+Ivar. This is the current powered by the source. But the source is a voltage source, not a current one. A voltage source can have any current allowed by its components.
What is happening is that the current supplied by the source varies, in order to keep the voltage constant, which is the source's mission.
In other words,
Keeping the voltage constant requires a sacrifice: the current supplied by the source might vary.
But, as the voltage is the same for the bulbs, and intensities of the bulbs depend on the bulbs themselves (I=V/R), and they do not depend on the source, then of course the power dissipated in the bulbs is the same, and thus they have the same brightness.
This means that IP+IQ+Ivar=ITotal. Only Ivar and ITotal can vary. The bulbs' ones are fixed by Ohm's law.
Some more comments:
Of course, this is the ideal case. There is actually a range of currents that the source and the components can handle. Ideally, a voltage source can provide any current needed. In real life, this is not true. Real sources have a maximum current value.
Also, bulbs have a resistance that depends on the current, because their R depends on temperature.
If we didn't consider light bulbs as resistance, it would be a little more complicated, and different.
Hope this helps if not im sorry
(b) 32g of dry ice was added to 200g of water at 25°C in a beaker of negligible heat
capacity. When all ice had melted the temperature of water was found to be 10°C. 9 (Take specific
heat capacity of water to be 4.0J/gk)
(i) Calculate the heat lost by water
The heat lost by water is equal to the heat gained by ice here. The heat lost from water for a temperature change of 25 to 10 degree Celsius is 12300 J.
What is calorimetric ?Calorimetry is an analytical technique used to determine the heat energy absorbed or evolved by a system. The calorimetric equation relating the heat energy q with the mass m, specific heat c and the temperature difference ΔT is :
q = m c ΔT
Here, the heat energy gained by the dry ice is equal to the heat lost from water.
temperature difference for water = 25- 10 °C = 15°C
thus, 15°C is lost from water.
mass of water = 200 g
q =200 g × 4.12 J/°C g × 10°C = 12300 J
Therefore, the heat energy lost from water is 12300 J.
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A kid does 308J of work on a sled. She walks 12m up hill. What is her force exerted on sled?
To determine the force exerted by the kid on the sled, we can use the formula:Work = Force × Distance .
Given that the work done by the kid is 308J and she walks a distance of 12m uphill, we can rearrange the formula to solve for force:Force = Work / DistanceSubstituting the given values:Force = 308J / 12m = 25.67N (rounded to two decimal places)Therefore, the force exerted by the kid on the sled is approximately 25.67 Newton. Work is defined as the product of force and distance. In this case, the work done by the kid on the sled is given as 308J, and the distance she walks uphill is 12m. By rearranging the formula for work, we can find the force exerted on the sled. Dividing the work (308J) by the distance (12m) gives us the force of approximately 25.67N. This means that the kid exerted a force of 25.67 Newtons on the sled while walking uphill.
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Dashun Mack: Attempt
Question 4 (1 point)
Listen
A baseball is seen to pass upward by a window 29 m above the street with a vertical
speed of 11 m/s. The ball was thrown from the street. How long (in seconds) after it
was thrown did it pass the window?
Your Answer:
Answer
4
The time elapsed when the ball reaches the window is 1.55s
As per the question:
Final velocity, v = 11 m/s
Height, h = 29m
Acceleration, a = g = -9.8 m/s
From the third equation of motion:
v² = u² +2as
u² = v² - 2as
u² = (11)² - 2 × (-9.8) × (29)
u² = 689.4
u = √689.4
u = 26.25 m/s
Now, from the first equation of motion:
v = u + at
\(t=\frac{v-u}{-g}\)
\(t = \frac{11 -26.25}{-9.8}\)
t = 1.55 s
Therefore, the time elapsed when the ball reaches the window is 1.55s.
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When sediment created by weathering and moved by erosion settles in a different location due to gravity
A. Deposition
B. Weathering
C. Erosion
D.Abiotic
Answer:
Deposition
Explanation:
The deposition phenomenon happens when sediment created by weathering and moved by erosion settles in a different location due to gravity
What is Erosion and Deposition?Deposition occurs when sediment, a combination of soil and rock produced by weathering, is eroded and transported to a new area.
Deposition is the act of depositing silt that has been transported by the wind, water, sea, or ice.
Earthen materials are worn away during erosion, a geological process in which they are moved by wind or water.
The removal of soil, rock, or dissolved material from one area on the Earth's crust and subsequent transport to another region for deposition are known as erosional processes. Erosion differs from weathering, which is a static process.
Given data ,
Let the sediment be deposited in an another location due to gravity
Now , As sediment, a mixture of soil and rock created by weathering, is eroded and moved to a new region, deposition takes place.
During three interrelated processes, lithification converts loose sediment grains that are produced by weathering and transported by erosion into clastic sedimentary rock. Deposition occurs when gravity and friction work against the forces that move sediment, enabling it to build up.
Hence , when sediment created by weathering and moved by erosion settles in a different location due to gravity , deposition takes place
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What is something that you use almost every day that is a polymer?
A) metal
B) gas
C) water
D) plastic
E) wood
The answer to the question, "What is something that you use almost every day that is a polymer?" is:D) plastic
Plastic is the most common example of a polymer that we use daily in various forms, such as bags, bottles, and containers.
Polymers are materials made up of repeating units or monomers, and plastic is one of the most common types of polymers used in everyday life. Plastic can be found in items such as water bottles, food containers, and packaging materials. It is a versatile material that can be molded into various shapes and forms, making it a popular choice for many applications.
Plastic is a polymer, which means it's composed of long chains of molecules. Other options are incorrect because:
A) Metal is not a polymer; it's an element or an alloy of different elements.
B) Gas is a state of matter and not a polymer.
C) Water is a compound and not a polymer.
E) Wood is a natural material mainly composed of cellulose, which is a natural polymer, but it is not a primary example of a polymer when compared to plastic.
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if a neutral atom has an atomic number of 18,how many protons does it have in the nucleus
Answer:
18
Explanation:
atomic number = number of protons
help gives 100 points
Answer:
Explanation:
from the ruler the diameter is seen to be 0.4cm.
The radius is 0.4/2 = 0.2cm.
Investigating arson can be a very complicated and complex job, as you learned in the unit! It is also generally a time sensitive matter. Forensic scientists who investigate arson must not only act quickly, but also methodically.
In order to practice how you would respond during an arson investigation, you will be creating a ‘game plan’ or ‘fire investigation timeline’ for what you would do upon arriving at the scene of a fire. Using what you learned in the unit as well as any necessary online research, you will articulate each step that would take place during your investigation. Be sure to number your steps and keep in mind any unexpected situations that might occur.
For example: “First, I would want to find the fire’s origin and look for signs of accelerant use. If I was able to locate the origin, I would do my best to preserve the area. If not, …”
Your ‘timeline’ should be detailed but it does not need to be as extensive as a research paper or essay. You can format your timeline however you like – as an actual timeline, a bulleted list, or short paragraphs as long as you include a clear format like first, second, third, etc. Be sure to include at least six steps.
You can create your ‘timeline’ in a word processing program or a slide presentation. You will be graded on the accuracy of your timeline as well as mechanics and grammar. For more details, see the rubric below.
The Plot Explodes (ongoing activity)
An explosion has occurred in a house down the street from Dr. Fisher’s apartment! Fortunately, the fire was controlled before it could spread to the rest of the block. No one was in the house when the blast occurred. All personal possessions in the house, including a computer and several filing cabinets, have been destroyed.
Property records show that Dr. Fisher’s former patient, Bill, bought the house a year ago. He was still Dr. Fisher’s patient at that time. Apparently, their relationship was strained. Bill had tried to sue Dr. Fisher for malpractice, without success.
When investigators searched the scene, they found bomb fragments with homemade electronics. They traced the electronics to a nearby store where Bill is a customer. They also found a metal cabinet at the scene that survived the blast. Inside the cabinet were several boxes of .38 caliber brass bullets.
So far, investigators have been unable to locate Bill for questioning.
Who do you think bombed Bill’s house, and why? (one to two sentences)
What other types of explosion or fire evidence might you look for within the blast radius? (two to three sentences)
Does this incident change your theory on Dr. Fisher’s murder? Explain. (three to five sentences)
Answer:
First, I would want to find what started the fire and why that's what caused it.
Second, I would take pictures of the area where the fire started if found.
Third, I would interview the witnesses.
Fourth, I would document the scene and write down everything that I see and what the people seen/heard happen.
Fifth, They need to do a full scene investigation.
Sixth, They need to do a follow up investigation.
Who do you think bombed Bill’s house, and why? (one to two sentences) I think Bill bombed his own house because he did not want to be caught. He most likely bombed his house with all his belongings so that he couldn't be traced.
What other types of explosion or fire evidence might you look for within the blast radius? (two to three sentences) Within the blast radius I would search for chemical residue. I would try to find Bill as soon as possible to match the chemical residue on his clothes if there is any.
Does this incident change your theory on Dr. Fisher’s murder? Explain. (three to five sentences) As sad as it is I believe that Dr. Fisher was murdered by his own patient Bill since they had a very hostile relationship. The incident of Bill’s house bombing doesn’t change my theory on Dr. Fisher’s murder, in fact, it further consolidates my theory of Bill being the murderer since Bill wanted to get rid of the evidence so that’s why he bombed his own house.
Explanation:
Can someone Please Help!!
Answer:
If the ball is accelerating down through the air with no horizontal motion, the net forces acting on the ball must follow: C. The gravitational force is greater than the drag.
Explanation:
This is because the gravitational force is directed downward and the drag force opposes the direction of motion (therefore the drag force is directed upwards). Since the ball is accelerating downwards, the gravitational force must be greater than the drag force in order to create this acceleration.
We know that the other options are incorrect because if the net force on the ball was directed upwards, the ball would be accelerating upwards. If the net force on the ball was zero, the ball would not be accelerating at all. If the drag was greater than the gravitational force, then the ball would be accelerating upwards as well.
Hope this helps!
If light moves and 300, 000m / s in a vacuum what would be the wavelength of a light wave that has a frequency of 40,000Hz in outer space ?
\(\begin{gathered} given: \\ frequency\text{ }\vartheta=40,000\text{ Hz} \\ speed\text{ of light c=3*10}^8\text{ m/s} \end{gathered}\)\(\begin{gathered} to\text{ find:} \\ wavelength\text{ }\lambda=? \end{gathered}\)\(\begin{gathered} wavelength\text{ }\lambda=\frac{v}{\vartheta} \\ v=speed\text{ of the wave} \end{gathered}\)\(\begin{gathered} put\text{ the values in the above formula} \\ \lambda=\frac{3*10^8m/s^2}{40000Hz} \\ \lambda=0.75*10^4m \end{gathered}\)
so the value of wavelength λ=0.75*10^4 m
I need help please I will give points
Answer:
-5 N of force
Explanation:
Hope it helps!
use the drop-down menus to complete the statement about earth’s magnetism. earth’s magnetic field is generated in the , which is composed of ✔ iron that is constantly .
Earth's magnetic field is generated in the outer core, which is composed of iron that is constantly in motion.
Earth's magnetic field is generated in the outer core, which is composed of iron that is constantly in motion.
The outer core is a liquid layer of molten iron and nickel, located between the solid inner core and the mantle.
This region of the Earth is extremely hot, with temperatures reaching up to 5,500 degrees Celsius.
The motion of the liquid iron in the outer core creates electric currents, known as convection currents.
These convection currents are driven by heat from the inner core and the cooling of the outer core.
As the liquid iron moves, it generates a magnetic field through a process called the dynamo effect.
The dynamo effect occurs when the liquid iron's motion causes the charged particles in the outer core to align and create a magnetic field.
This magnetic field extends from the inner core to the space around the Earth, creating a protective shield known as the magnetosphere.
The Earth's magnetic field plays a crucial role in protecting the planet from harmful solar radiation and charged particles emitted by the Sun.
It also aids in navigation for many animals, such as birds and sea turtles, who use it to navigate during their migrations.
In conclusion, Earth's magnetic field is generated in the outer core, which is composed of iron that is constantly in motion due to convection currents.
This magnetic field protects the planet and aids in navigation for various species.
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much like mass and energy, the amount of electric charge in the universe is constant and cannot be created or destroyed. in physics, what law governs such a relation? if the total electric charge remains constant in a closed system, how can some objects change their charges?
The law that governs the conservation of electric charge in a closed system is known as the law of conservation of charge.
According to this law, the total amount of electric charge in a closed system remains constant and cannot be created or destroyed. As for how objects can change their charges in a closed system, it is because the distribution of electric charge can change.
For example, when two objects with different electric charges are brought into contact, electrons can flow from one object to the other until both objects have the same electric potential. This transfer of electrons results in a change in the charge of each object, but the total charge remains the same.
Another way objects can change their charges is through the process of ionization, where an atom loses or gains electrons, resulting in a change in the electric charge of the atom. Again, the total charge remains constant, as the lost or gained electrons must go somewhere.
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what percentile rank is failing for garnder reversal frequency test
The percentile rank for failing on the Gardner Reversal Frequency test depends on the specific scoring criteria and distribution of scores. Without additional information about the test scores, it is not possible to determine the exact percentile rank for failing.
The percentile rank indicates the percentage of scores that fall below a particular score. To determine the percentile rank for failing on the Gardner Reversal Frequency test, we need to know the scoring criteria and the distribution of scores for the test. These factors can vary depending on the specific test and its administration.
For example, if the Gardner Reversal Frequency test is scored on a scale from 0 to 100, with 100 being the highest possible score, the percentile rank for failing would depend on the cutoff score designated as a failing threshold. If the cutoff score for failing is set at 60, then any score below 60 would be considered failing. The percentile rank for failing would be the percentage of scores below the cutoff score.
However, without information about the scoring criteria and the distribution of scores for the Gardner Reversal Frequency test, it is not possible to provide a specific percentile rank for failing. It would be necessary to consult the test manual or obtain additional information from the test administrator to determine the percentile rank associated with failing on this particular test.
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Determine the fans airflow in m^3/s.Fan has an airflow of about 1.55x10^3 ft^3/minMeaning that about 1.55x10^3 cubic feet of air move over the fan blades each minute
ANSWER:
0.732 m^3/s
STEP-BY-STEP EXPLANATION:
We must convert from ft^3/min to m^3/s.
To do this, we must take into account the following conversion factors:
1 meter is equal to 3.28 feet
1 minute is equal to 60 seconds
Knowing this, we do the conversion just like this:
\(1.55*10^3\frac{ft^3}{min}\cdot\left(\frac{1\text{ m}}{3.28\text{ ft}}\right)^3\cdot\frac{1\text{ min}}{60\text{ s}}=0.732\text{ m}^3\text{/s}\)The fans airflow in m^3/s is 0.732
Brittany pedaled her bicycle quickly on a level surface. When she stopped pedaling and coasted, the bicycle slowed and came to a stop. What happened to the energy of the moving bicycle as it coasted to a stop?
A. It was transferred to heat due to friction.
B. It was reabsorbed into Brittany’s muscles.
C. It was stored in the bicycle wheels as potential energy.
D. It was transferred to the air in the form of visible light.
A. It was transferred to heat due to friction. The energy of the moving bicycle as it coasted to a stop is transferred to heat.
What does a basic definition of frictional force mean?Two surfaces that come into contact and glide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
Where does the frictional force operate?In the case of static friction or kinetic friction, the force of friction is always applied to counteract actual or potential movement between the two surfaces. Everyday forces like friction are produced when two surfaces come into contact. The contact between these surfaces as they move against one another raises their thermal energy (the temperature goes up).
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Limestone cave can develop when Limestone rock is weathered. The weathering of the rock leaves an empty space that forms the cave. Which of the following best explains how the Limestone weathered?
Answer:
he shape is like granite, other rocks like this are shaped in the weather.
Explanation:
He shape is like granite, other rocks like this are shaped in the weather.
What is Limestone?The primary source of the substance lime is limestone, a form of carbonate sedimentary rock composed primarily of calcium carbonate (CaCO3).
The minerals calcite and aragonite, which are various crystal forms of CaCO3, make up the majority of its material. As these minerals separate from water that has dissolved calcium, limestone is created.
Both biological and nonbiological activities can contribute to this, while biological processes—like the buildup of corals and shells in the sea—have probably been more significant during the past 540 million years.
Therefore, He shape is like granite, other rocks like this are shaped in the weather.
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if the forces are moving in the same direction, ____ the forces. Please help i’m actually so confused!
Answer:
Explanation:
the directions may change
Or they will repel and become opposite sides
Which of the following is a good definition of mass
a) Mass is a measure of how much space a substance takes up
b) Mass is a measure of the spaces between particles in a substance
c) Mass is a measure of how much matter there is in a substance
d) Mass is a measure of the temperature of a substance
The definition of mass is: Mass is a measure of how much matter there is in a substance. So, option (c) is correct.
What is mass?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.
The change caused by an applied force is smaller the more mass a body has. The kilogram serves as the unit of mass in the International System of Units (SI).
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Two identical buckets of concrete are placed 550 m apart, and the resulting gravitational force between
them is 1.378 x 10-13 N.
What is the mass of each bucket of concrete?
Write your answer using two significant figures.
25 kg in khan……………………………………
Each bucket of concrete has a mass of 10,562 kg, rounded to two significant figures.
To determine the mass of each bucket of concrete, we need to use the formula for gravitational force:
\(F = G(m1m2)/r^2\)
Where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
We know the force and distance between the two buckets, and the gravitational constant is a constant value. So, we can rearrange the formula to solve for the mass of each bucket:
\(m = Fr^2/(Gm1)\)
Plugging in the given values, we get:
m = \((1.378 * 10^{-13} N)(550 m)^2/(6.674 * 10^{-11} N(m/kg)^2 m1)\)Simplifying this equation, we get:
m1 = \((1.378 * 10^{-13} N)(550 m)^2/(6.674 * 10^{-11} N(m/kg)^2)(2)\)
m1 = 10,562 kg
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A balloon’s internal pressure has increased, but the balloon has not changed in size. What must have happened to the external pressure for this to be true? Assume that elastic recoil is negligible. A balloon's internal pressure has increased, but the balloon has not changed in size. What must have happened to the external pressure for this to be true? Assume that elastic recoil is negligible. The outside pressure has increased the same amount as the inside pressure The outside pressure has increased more than the inside pressure. The outside pressure has remained the same The outside pressure has decreased.
The outside pressure has increased the same amount as the inside pressure.
When the internal pressure of a balloon increases but the balloon does not change in size, it implies that the external pressure acting on the balloon must have increased by the same amount as the internal pressure. This balance of pressures prevents the balloon from expanding or contracting.
By Newton's third law of motion, for every action, there is an equal and opposite reaction. In the case of the balloon, the increase in internal pressure exerts a force on the walls of the balloon. The external pressure must match this force to maintain equilibrium and prevent any change in the size of the balloon.
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A solid sphere (I = 2/5 MR^2) of mass 0.44 kg and radius 0.022 m rolls, without slipping, down an incline of height 0.98 m. What is the speed of the sphere at the bottom of the incline?
A solid sphere (I = 2/5 MR^2) of mass 0.44 kg and radius 0.022 m rolls, without slipping, down an incline of height 0.98 m.
To calculate the speed of the sphere at the bottom of the incline, we have to use conservation of energy law.
Conservation of energy states that the total energy of an isolated system remains constant. In other words, energy can neither be created nor destroyed; rather, it can only be transformed or transferred from one form to another.
Let's calculate potential energy (PE) and kinetic energy (KE) in this question using the given formulae.
PE = mgh (mass x gravity x height)
where; m = mass = 0.44 kg
g = gravity = 9.8 m/s^2
h = height = 0.98 m
PE = 0.44 x 9.8 x 0.98
PE = 4.2832 J
KE = 0.5mv^2 (0.5 x mass x velocity^2)
where; m = mass = 0.44 kg
v = velocity
KE = 0.5 x 0.44 x v^2
KE = 0.22v^2
Now, applying the law of conservation of energy, we get:
Initial energy (at the top) = Final energy (at the bottom)PE(top) + KE(top)
= PE(bottom) + KE(bottom)0 + 0.5mv^2
= mgh + 0KE(bottom)
= mgh + 0.5mv^2v
= sqrt(2gh/5)
Where, h = height of incline = 0.98 m.
Therefore,
v = sqrt(2gh/5)
v = sqrt(2 × 9.8 × 0.98 / 5)v
= 1.80 m/s
Therefore, the speed of the sphere at the bottom of the incline is 1.80 m/s.
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an instrument used to measure the pressure of a gas in a laboratory is called a
An instrument used to measure the pressure of a gas in a laboratory is called a pressure gauge.
What is the name of the device used to measure gas pressure in a laboratory?A pressure gauge is a device used to measure the pressure of a gas in a laboratory or industrial setting. It works by measuring the force exerted by the gas on a surface, such as a diaphragm or a piston, and converting it into an electrical or mechanical signal that can be read on a display. There are various types of pressure gauges, including mechanical gauges that use springs or Bourdon tubes, and digital gauges that use electronic sensors.
The accuracy and range of a pressure gauge depend on its design and the properties of the gas being measured. Pressure gauges are used in many applications, including HVAC systems, chemical processing, and medical equipment.
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pieces of burning vegetation that are spread by air currents and spread downwind are known as
O brands
O flank
O saddle tanks
O resources
Pieces of burning vegetation that are spread by air currents and spread downwind are known as "brands."
When a wildfire occurs, burning vegetation can release embers or pieces of burning material into the air. These embers, often called "brands," can be carried by air currents and spread downwind, potentially igniting new fires and causing the fire to spread rapidly.
Brands are a significant concern during wildfires as they can travel long distances and start spot fires ahead of the main fire front. Factors such as wind speed, direction, and the flammability of surrounding vegetation determine how far brands can travel and how quickly they can ignite new fires.
Firefighters and fire management personnel closely monitor and address brands during firefighting operations to prevent the further spread of the fire. Controlling and extinguishing spot fires caused by brands is crucial in minimizing the overall impact and size of a wildfire.
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When should a line graph be used?
A. When the independent variable is continuous and shows a causal link to the dependent variable.
B. When the independent variable is composed of categories and does not show a relationship.
C. When there is no independent variable.
D. When the independent variable is continuous and does not show a relationship to the dependent variable.
Answer:
A. When the independent variable is continuous and shows a causal link to the dependent variable.
Explanation:
A graph can be defined as the graphical representation of data (informations) on horizontal and vertical lines i.e x-axis and y-axis respectively.
In an experiment , the variable being manipulated by an experimenter is known as an independent variable while the dependent variable is the event expected to change when the independent variable is manipulated
Generally, a line graph should be used when the independent variable is continuous and shows a causal link to the dependent variable.
This ultimately implies that, a line graph should be used when the data changes continuously over time and as such there exist a linear relationship between the data (variables).
a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take
Answer:3982/27.6=144.275
Explanation:The trip took 144 hours as 3982/27.6 is about 144.
Which online note-taking tool allows students to post notes to their desktop for visual cues?
Answer:
Sticky notes
Explanation:
got it right on edgeuity quiz
Answer:
Sticky Notes
Explanation:
a toy car is placed 59.0 cm from a convex mirror. the image of the car is upright and one-third as large as the actual car. calculate the mirror's power in diopters.
The power of the convex mirror is approximately 3.39 diopters.
The power of a convex mirror in diopters, we can use the mirror formula and the magnification formula.
The mirror formula for a convex mirror is:
1/f = 1/v - 1/u
where f is the focal length of the mirror, v is the image distance, and u is the object distance.
Given that the image formed by the convex mirror is upright and one-third the size of the actual car, the magnification (m) is:
m = -v/u = -1/3
Since the image is upright, the magnification is positive, but for calculations, we consider the negative sign.
The magnification is also related to the ratio of image height (h') to object height (h):
m = h'/h = -1/3
Now, we need to find the object distance (u) and the image distance (v) to determine the focal length (f).
Given that the car is placed 59.0 cm from the convex mirror, we have:
u = -59.0 cm (negative sign indicates that the object is in front of the mirror)
Using the magnification formula, we can write:
m = v/u = -1/3
Simplifying the equation, we find:
v = (-1/3) * (-59.0 cm) = 19.67 cm
Now, we can substitute the values of u and v into the mirror formula:
1/f = 1/v - 1/u
1/f = 1/19.67 cm - 1/(-59.0 cm)
Simplifying the equation further:
1/f = (3 - 1) / (59.0 cm)
1/f = 2 / (59.0 cm)
f = (59.0 cm) / 2
f = 29.5 cm
The focal length of the convex mirror is 29.5 cm.
Finally, we can calculate the power (P) of the convex mirror using the formula:
P = 1/f
P = 1 / (29.5 cm)
Converting the units to diopters, where 1 diopter = 1/m:
P = 1 / (0.295 m)
P ≈ 3.39 diopters
Therefore, the power of the convex mirror is approximately 3.39 diopters.
Learn more about convex mirror here:
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A coin is made of ______
Answer:
coins made with the combination of copper zinc and Nickel
A cloth is made of fabrics
A towel is made from cotton
an umbrella is made up of fiberglass
a sweater is made up of wool
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Which statement describes how electrical power is calculated?
Answer:
D. Power is the product of voltage and current.
Explanation:
Electrical power is derived from the product of current and voltage;
Power = current x voltage = I V
I is the current
V is the voltage
R is the resistance
Now;
V = IR;
So;
Power = I x (IR) = I²R
Also,
Power = \(\frac{V^{2} }{R}\)
The right choice is D