The radius of convergence of the series ∑[infinity]=0x7 is 1.
The Ratio Test is a test for determining the convergence or divergence of a series. For a series ∑an, if the limit of |an+1/an| as n approaches infinity is L, then the series converges if L<1, diverges if L>1, and the test is inconclusive if L=1.
In this case, the series is ∑[infinity]=0x7, which means that the index n ranges from 0 to 7. The general term of the series is given by an = xn, where x is a variable.
Using the Ratio Test, we have:
|an+1/an| = |x^(n+1)/x^n| = |x|The limit of |x| as n approaches infinity is:
lim |x| = |x|Therefore, the series converges if |x|<1, diverges if |x|>1, and the test is inconclusive if |x|=1.
Hence, the radius of convergence of the series is 1.
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A race car sets out on a 100.0 km race. At the halfway marker, the pit crew notes that the driver has averaged only 80.0 km/h. What speed must the driver maintain for the second half of the race in order to average 100.0 km/h overall?
The driver has to maintain the speed of 133.3 km/h for second half of the race in order to average 100km/h.
What does "average velocity" and "speed" mean?In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity. By dividing the entire distance the body has traveled by the amount of time it took to cross that distance, the average speed formula can be calculated.
To complete the race in 1 hr => 100 km/hr in a 100 km
Driver is going 80 km/hr at half way marker (50m).
Time taken to cover 50m = 50 km * (1 hr/80 km) = 5/8 hour.
Total time to complete the race on average 100 km/hr is 1 hr.
Hence, time required to cover second half of the race => 1 hr - 5/8 hr
=> 3/8 hr
v= 50km/(3/8 hr) = 50*(8/3) = 133.3 km/h
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In a paragraph of no less than five complete sentences, explain how the bubble gum
experiment demonstrates the Law of Conservation of Mass. Remember to use
proper grammar and mechanics when writing your paragraph.
If you run at a consistent pace of 5 meters per second, how many meters could you run in
60 seconds?
5 × 60 = 300
Therefore, you could run 300 meters in 60 seconds.
Answer:
300 meters
Explanation:
5 x 60 = 300
What is the relationship of the gravitational force between the earth and the moon
A boy throws a 1 kg rock with a force of 5N. What is the acceleration of the rock when
he lets go of it?
Answer:
5m/s²
Explanation:
mass of the rock = 1kg
Force = 5N
As we know that,
Force= mass*acceleration
Substitute the respective values,
5N = 1kg * a
a = 5N/1kg
a = 5m/s²
And we are done!
please help Which of the following best describes scientific facts?
a.They are universally accepted as true.
b.They describe a certain phenomenon in nature.
c.They are regularly updated as new evidence arises.
d.They predict a relationship between variables.
Answer: a. They are universally accepted as true.
Explanation: Scientific facts must be universally accepted as true, if not they can't be accepted
What is the formula for electric force?
The electric force is a fundamental force of nature that is described by the formula which is F = qE.
The formula for electric force is F = qE, where F is the magnitude of the force, q is the charge of the two particles, and E is the electric field vector.
The electric force is responsible for a variety of phenomena, including the attraction of particles with opposite charges and the repulsion of particles with the same charge.
This force is an important part of the electromagnetic force, which also includes the magnetic force.
Electric force is the attractive or repulsive force that exists between two electric charges.
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particles q1=-53.0uC, q2=+105uC, and q3=-88.0uC are in a line. particles q1 and q2 are separated by 0.50m and q2 and q3 are separated by 0.95m. what is the net force on particle q3?
Answer:The answer sir would be 180.38
Explanation:
What was the average force the bumper exerted on the car over the 4 s period?
O A. 1,000 N
OB. 4,000 N
O C. 10,000 N
O D. 40,000 N
The dark region denotes the car's displacement over a 4-second time period. It can be determined as follows: (1/2)46 = 12 metres.
What is the average speed of a bumper car?Remember that a bumper car only travels at a speed of 5 mph on average. In an automotive crash test, a solid wall's average force on a 2500-kg car that hits the wall over a 0.22-s time period is measured to be 740,000 N.When a car collides with something at a low speed, the bumper will press backward to use the crumple zone to reduce the impact as the foam and fenders absorb the force. The bumper, fender, and foam crumpling restricts the amount of harm that may be done to the automobile and those inside of it.The average force is therefore equal to the body's mass times the average speed during a specific period of time.To learn more about determined refer to:https://brainly.com/question/30234949#SPJ1Physical Appearance Bias Definition
Discrimination on the basis of the physical appearance of a person is called physical appearance bias.
Our society has constructed a notion of physical attractiveness. It is related to the quality of the social appearance. Physically attractive people are at advantage as compared to the people who are not physically attractive. Physical appearance bias is the discriminatory behavior provided by our society to the people who are not unattractive and not so good looking. This physical attribute may be the height, weight, color of the skin, etc. This perception of discrimination of our society more often results in adverse consequences.
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Thank you for your help!
Answer:
Haemoglobin
Explanation:
I hope this helps you
A force of 55 N is applied to a 7.3 kg bowling ball for 0.81 seconds.
If the bowling ball was initially at rest, what is the momentum of the bowling ball after the force was applied?
How fast is the bowling ball moving?
1. The momentum of the bowling ball after the force was applied is 397.5 Ns.
2. The bowling ball is moving at a speed of 48.7 m/s.
A radio wave has a frequency of 5.5 × 104 hertz and travels at a speed of 3.0 × 108 meters/second. what is its wavelength? a. 5.5 × 104 meters b. 5.0 × 103 meters c. 5.5 × 103 meters d. 3.0 × 108 meters
The wavelength of the radio wave is 5.5 × 10³ m. If the frequency of the wave is 5.5 × 10⁴ hertz and the speed of the wave is 3.0 × 10⁸ m/sec.
The speed(v) of a wave is the product of wavelength(λ) and the frequency(η). We can understand this relation by the definition of the speed, which is the distance travelled by the object in unit time. The unit of distance is meter, also the unit of the wavelength is meter. On the other hand the unit of frequency is sec⁻¹. So,
Speed of a wave(v) = wavelength(λ) × Frequency(η)
Wavelength(λ) = speed of the wave(v)/Frequency(η)
Wavelength(λ) = (3.0 × 10⁸)/(5.5 × 10⁴)
Wavelength(λ) = 5.5 × 10³ m
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Question 8 (2 points)
A negatively charged rubber balloon is sticking to Vivek's shirt. It is attracted to the
shirt's positive charges. He then pulls the balloon farther away from his shirt. How
does the electric force between the balloon and Vivek's shirt change when the
balloon is moved?
The electric force increases.
The electric force decreases.
The electric force does not change.
Answer:The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.
Explanation:
This is a second part to a worksheet for physics that I’d love help with
Thus, wave speed is the distance covered per second as opposed to wave frequency, which is the number of cycles that occur each second.
How significant is wave frequency?Waves transfer energy, to sum up. The amount of energy they carry is inversely proportional to their frequency and amplitude. Both frequency and amplitude climb with increasing energy, correspondingly.
What exactly is a simple wave frequency?Wave frequency is the quantity of waves passing a particular place in a predetermined period of time. The hertz (Hz), which measures wave frequency in SI units, is one hertz, or one wave crossing a fixed point in one second.
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An electric penal sharpener is has a cument of 0.05A. The voltage is 6v. What is the resistance?
The total resistance in the circuit is 120 ohms
According to Ohm's law E= I*R
where E => Electromotive force that we know as Voltage
I refer to the Current in the circuit
From the given law, we can say that
voltage = current x resistance
so voltage in the circuit is 6v
and the current in the circuit is 0.05A
and resistance is x ohms
so
6= 0.05*xx= 6/0.05x = 120so the resistance in the circuit is 120 Ohms. The Current in the circuit is directly proportional to the voltage in the circuit at a constant resistance.
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A figure skater begins spinning counterclock-
wise at an angular speed of 3.2 7 rad/s. Dur-
ing a 4.6 S interval, she slowly pulls her arms
inward and finally spins at 7.7 T rad/s.
3.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s^2
According to the answer The average angular acceleration 1.3 rad/s^2.
What is angular acceleration?Angular acceleration is the rate of change of angular velocity over time. It is a vector quantity, which means that it has both a magnitude and direction. Angular acceleration is usually measured in units of radians per second squared (rad/s2). The magnitude of angular acceleration indicates how quickly the angular velocity is changing, and its direction indicates the direction of the angular velocity change.
The average angular acceleration of the figure skater during this time interval can be calculated using the equation a = (Δω)/(Δt). Here, Δω is the change in angular speed during the interval and Δt is the length of the interval.
Therefore, the average angular acceleration = (7.7 rad/s - 3.2 rad/s) / 4.6 s = 1.3 rad/s^2.
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Over the past few years, human use of coal has decreased in the United States. What has caused this effect on coal use?
A.
lower costs of other fossil fuels
B.
not including environmental costs in pricing
C.
relaxed regulations for air pollution
D.
falling prices for coal
A steam powered generator. The diagram below shows the steps involved in using the energy in steam to generate electricity
Electricity can be generated from a steam turbine and used to power a bulb as shown.
How can power be generated from steam?We know that the generation of electricity is largely linked to the principle of the transformation of energy or the conservation of energy which just portrays the idea that energy can neither be created nor destroyed but is converted from one form to another.
We can see that the fuel can be used to heat up the water in the image that is attached and the water is converted to steam and then the steam can be used to turn a steam turbine and electricity is produced that can be able to power a bulb.
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Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Yes, mutations in the SARS-Cov2 may make the virus more deadly to humans because they are selected to make the virus superior in an adaptive way in order to form the next generations of viruses.
What is the evolutionary meaning of genetic mutations in viruses and organisms?The evolutionary meaning of genetic mutations in viruses and organisms is based on the fact that mutation per se is not adaptive (or beneficial), deleterious or neutral, but it depends on the enviroment in which they are and how it affects the differential reproduction of the virus.
Therefore, with this data, we can see that the evolutionary meaning of genetic mutations in viruses and organisms is the fact that after emergence may be selected to enhance the adaptive features of a virus and thus also make it more deadly to humans in the case of viruses.
Complete (correct) question:
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
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A car goes forward along a level road with a certain acceleration, a. The additional force needed to bring the car into equilibrium is.
The additional force needed to bring the car into equilibrium is equal to the mass of the car times the acceleration of the car, or F = ma.
What is equilibrium?Equilibrium is a state of balance and stability between opposing forces or actions. In economics, it refers to the point where the supply and demand for a given product or service are equal, and the market price of the product or service is stable. In physics and chemistry, equilibrium is a state in which different competing forces are balanced, so that no net change is observed. In biology, it is the ability of an organism to maintain a stable internal environment despite changes in external conditions. Ultimately, equilibrium is a state of balance, stability, and homeostasis.
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A 1.5 kg block moves at 4 m/s moves along a frictionless horizontal surface. The block slides into a spring
with a spring constant of 240 N/m. How far is the spring compressed after the block comes to rest?
spring compresses 31.6 cm
kinetic energy of the block = potential energy of the spring
0.5mv^2 = 0.5kx^2
0.5*1.5*4^2 = 0.5*240*x^2
x = 0.316 m
so the spring compresses 31.6 cm
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a ______ chart contains solid bars separated by spaces.
A bar chart contains solid bars separated by spaces.
Definition of bar chartBar chart definition is defined as a visualization and presentation technique either in the form of data, instructions or in the form of certain information. The data, instructions and information presented in the form of diagrams aim to make the data results easily understood by the reader.
Diagrams we often encounter in everyday life. Usually, diagrams are used in various fields such as statistics and informatics. With diagrams, the delivery of information or data can be easily understood by readers. Apart from that, diagrams are also used to present a particular procedure or algorithm in programming or informatics.
So, the meaning of a bar chart is a diagram that displays square bars or blocks that are used to display some data. This diagram also describes a change in object values or research data in a certain period.
Bar charts are used to present data in the interest of comparison, to compare more than one activity. In addition, bar charts are used to display changes in research data within a certain period.
Bar charts are also usually used to determine the development of the value of a data within a certain period of time and in a type with several categories or classifications.
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A hot-water heater is operated by solar power. If the solar collector has an area of 5.8 m2 and the power delivered by sunlight is 550 W/m2, how long will it take to increase the temperature of 1.0 m3 of water from 25°C to 57°C?
Answer:
26°
Explanation:
inreases by a minute
The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics EXCEPT:
The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics except is pressure.
What is pressure?Pressure is the amount of force applied over a given area. It is measured in units such as pounds per square inch (psi). Pressure can be applied to a variety of things including gases, liquids, solids, and vacuums. It can be caused by a variety of sources, such as gravity, electromagnetic fields, and electric currents. Pressure can also be applied to change the physical properties of a substance such as its temperature, density, or viscosity. It can be used to move objects, create energy, and form objects. Pressure is an important concept in many areas of science, ranging from physics to engineering.
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A student is connecting three resistors of various resistances together in a circuit. In one configuration, the resistors are connected in a series. In another configuration, the resistors are connected in parallel. Explain which configuration results in a higher total resistance.
The configuration with the resistors connected in series results in a higher total resistance.
What is the difference between a series and parallel circuit configuration?A series circuit configuration is one in which the electrical components are connected end-to-end, so that the current must flow through each component before reaching the next one. This means that the current is the same through all components, and the total resistance of the circuit is equal to the sum of the individual resistances. In contrast, a parallel circuit configuration is one in which the electrical components are connected side-by-side, so that the current can flow through multiple components at the same time. This means that the voltage across all components is the same, and the total resistance of the circuit is lower than the smallest individual resistance.
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What is the power (in Watts) of the Pokemon Hitmonlee that uses 237 N of force to move a huge boulder 83 m in 5s?
VT 106.00 V, T=?, R₁ = ?
V₁?, 1₁-?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3= 32.00 V, 13-?, R₂= 13.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the resistance at (R₂) which is the resistance of resistor two?
(Use one of the following choices for the unit: V, A, Ohms)
The resistance at R₂ is 13 Ohms.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit. It is typically measured in units of ohms (Ω). It is the ratio of voltage across a component to the current flowing through it. A component with a high resistance allows less current to flow through it for a given voltage, while a component with a low resistance allows more current to flow for the same voltage. The resistance of a component can be affected by factors such as temperature, material, and dimensions.
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Is it possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg? Explain.
Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
What is momentum?The sum of an object's mass and velocity is termed as its momentum. It consists of both a magnitude and a direction, making it a vector quantity.
Reason for the above :For the given momentum K.E. is inversely proportional to the mass. Hence, the fig with a mass of 0.04 kg has lower kinetic energy. For two bodies having same kinetic energy, the lighter one has greater momentum.
Hence, Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
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The nitrogen cycle is an example of a(n) cycle. Its processes include the conversion of atmospheric nitrogen into ammonia, which is called. Nitrogen is returned to the atmosphere in the process of.
The nitrogen cycle is an example of Nitrogen fixation and denitrification cycle.
What is nitrogen cycle?The nitrogen cycle is the process by which nitrogen is converted between its various chemical forms. This process is essential for life on Earth, as nitrogen is a critical component of proteins, DNA, and other molecules that make up living organisms. The cycle is comprised of four main steps: nitrogen fixation, ammonification, nitrification, and denitrification. In the nitrogen fixation step, nitrogen gas from the atmosphere is converted into ammonia (NH3) or nitrogen oxide (NOx) molecules by certain bacteria and other organisms. In the ammonification step, organic nitrogen molecules are converted into ammonia. In the nitrification step, ammonia is converted into nitrate (NO3-) and nitrite (NO2-) molecules by bacteria. Lastly, in denitrification step, nitrate and nitrite are converted back into nitrogen gas by bacteria. The nitrogen cycle is a continuous process, with nitrogen molecules cycling between its various forms.
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