A capacitor of 2.08 × 10⁻⁵ F will raise the power factor of the circuit to unity.
Part A: To raise the power factor of the series circuit, we need to add a circuit element that will introduce a leading power factor to counteract the lagging power factor caused by the impedance.
This can be achieved by adding a capacitor in series with the circuit.
Part B: To raise the power factor to unity, we need to add a capacitor that will introduce a capacitive reactance equal in magnitude to the inductive reactance of the circuit. The capacitive reactance is given by:
Xc = 1/(2πfC)
where
f is the frequency and
C is the capacitance.
The inductive reactance of the circuit is given by:
Xl = 2πfL
where L is the inductance of the circuit. Equating these two expressions and solving for C, we get:
[tex]C = 1/(2\pi fXc) = 1/(2\pi f\sqrt{(Z^2 - R^2))[/tex]
where
Z is the impedance of the circuit and
R is the resistance.
Plugging in the given values, we get:
[tex]C = 2.08 * 10^{-5} F[/tex]
Therefore, a capacitor of 2.08 × 10⁻⁵ F will raise the power factor of the circuit to unity.
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how do you use atomic models
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Two hockey pucks with mass 0.1 kg slide across the ice and collide. Before
the collision, puck 1 is going 15 m/s to the east and puck 2 is going 12 m/s to
the west. After the collision, puck 2 is going 15 m/s to the east. What is the
velocity of puck 1?
A. 12 m/s west
B. 15 m/s east
C. 15 m/s west
D. 12 m/s east
The velocity of pluck 1 is 12 m/s west.
What is the conservation of momentum?The principle of the conservation of the linear momentum states that momentum before collision is equal to momentum after collision.
Now given that;
m1u1 + m2u2 = m1v1 + m2v2
(0.1 * 15) - (0.1 * 12) = 0.1* v + (0.1 * 15)
1.5 - 1.2 = 0.1v + 1.5
0.3 - 1.5 = 0.1v
v = -1.2/0.1
v = - 12 m/s
Hence, the velocity of pluck 1 is 12 m/s west.
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A 75.0-kg man standing on a bathroom scale in an elevator. Calculate the scale in N, reading if the elevator moves upward at a constant speed of 1.5 m/s
A 75.0-kg man standing on a bathroom scale in an elevator, if the elevator moves upward at a constant speed of 1.5 m/s then the scale in N will be 885N accordance with Newton's law
The extent of the force being applied downward. If the human is selected to be the system of interest with a free-body diagram, the one-dimensional problem appears to be considerably more difficult. Both sections (a) and (b) of this example's analysis can be answered by analyzing the free-body diagram in accordance with Newton's laws, along with some other potential problems. In order to determine what the scale reads, the only forces operating on the subject are his weight w and the upward force of the scale, which are equal in strength and directed in opposing directions. Newton's law, as usual, can be used to do this.
F=Ma = F−w=ma⇒F=m(a+g)=75(2+9.8)=885 N.
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a skier’s most important piece of equipment
Answer: A skier’s most important piece of equipment is Ski boots.
Explanation: To find the answer, we need to know about the ski boots.
Why ski boots are the most important equipment for a skier?Skiing can be defined as the action of travelling over snow on skis.There are different equipment's we use during skiing, among them, the most important equipment's is ski boot.Ski boots are not meant for walking, but they provide the skis an extension for their legs.The other equipment's are ski goggles, ski helmets, ski jackets and so on.Thus, we can conclude that, a skier's most important equipment is Ski boots.
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Ski boots are a skier's most essential piece of gear.
We must understand the ski boots in order to determine the solution.
Why are ski boots the most crucial piece of gear for a skier?Skiing is the activity of moving over snow on a pair of skis.While we utilize a variety of equipment when skiing, the ski boot is by far the most crucial piece of gear.Although ski boots are not designed for walking, they provide the skis an extra leg.The other equipment includes ski coats, ski helmets, and ski goggles.So, it stands to reason that ski boots are a skier's most essential piece of gear.
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A transformer usefully transfers 190,000 W of the 200,000 W of energy supplied to it. How efficient is the transformer?
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the?
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the faster it is moving away from us.
Hubble ultimately demonstrated that, contrary to the widely accepted belief that the universe is static, galaxies are actually moving away from us. Hubble noticed that the light appeared to be shifted toward the red end of the spectrum by observing the light coming from distinct galaxies.
Hubble made the amazing discovery that a galaxy's redshift exactly correlated with its distance from the earth. That implied that objects farther from Earth were dispersing more quickly. To put it another way, the cosmos must be growing. In 1929, he made his discovery public.
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In a circuit consisting of two lamps connected in series, if the current in one lamp is 1 a, what is the current in the other lamp?
The current in the second lamp will also be 1amp seeing that the connection is a series connection.
See the explanation bellow.
What is circuit in series?The simple rule of a series connection is such that for each load, the current flowing is the same and the resistance varies across the loads.
However, the reverse is the case for a parallel circuit connection, where the current varies and the resistance is the same for each circuit element.
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Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media.
Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship .
Lisa is correct because light travels through air at the fastest speed of ,and speed and frequency have a direct relationship .
Neither Frank nor Lisa is correct because light does not change frequency when it travels through different media .
Both Frank and Lisa are correct because light has both inverse and a direct relationship with frequency ,depending on the type of media .
Neither of the two is correct because light does not change frequency when it travels through different media .
Disclaimer :The question given on the portal is incomplete .Here is the complete question .
Question :Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements?
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A 67 V power supply is connected to three identical resistors in series. If the current through the resistors is measured at 0.95 A, what is the value of each resistor? Round your answer to 2 decimal places.
The value of the identical resistors would be 70. 53 Ohms
How to determine the valuesWe have the formula for resistance to be;
Resistance = Voltage/ current
Voltage = 67 V
Current = 0. 95A
Substitute the values
Resistance =
[tex] \frac{67}{0.95} [/tex]
Resistance = 70.53 Ohms
Thus, the value of the identical resistors would be 70. 53 Ohms
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Rolls of aluminum foil are 304-mm wide and 0.016-mm thick. what is the maximum length of aluminum foil that can be made from 1.10-kg of aluminum, al? density of al = 2.70 g/cm3
Answer:
See below
Explanation:
The units in this question need to be all the same
Volume = L x W x H where 'H' is thickness of the foil
1.10 kg = 1100 g
The volume given = mass / density = 1100 g / 2.70 g/cm^3= 407.407 cm^3
304 mm = 30.4 cm .016 mm = .0016 cm
LWH = L * 30.4 cm * .0016 cm = 407.407 cm^3
L = 8375.97 cm = 83.76 meters
The maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
By using the above formula for density
ρ = mass / volume
As given in the problem Rolls of aluminum foil are 304 mm wide and 0.016-mm thick.
the mass of the aluminum = 1.10-kg
mass = 1100 grams
the density of the aluminum = 2.70 g/cm3
density = 17/3
2.70 g/cm3 = 1100 grams /volume
volume = 1100/ 2.70
=407.40 cm3
volume = width×thickness×length
407.40 cm3 = 30.4 ×.0016 ×length
length = 8375.97 cm
= 87.76 meters
Thus, the maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.
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A tank, shaped like a cone has height 6 meters and base radius 5 meters long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10 000 N , i.e. the density of water is 10000 N m 3 . How much work does it require to pump all water out of the tank
The work required to pump out the liquid is 2.35 MJ.
What is work?
Work can be defined as the scalar product of the force and the displacement.
The formula to calculate the work done W is,
[tex]W=F.d[/tex]
where F is the force and d is the displacement.
Note: It is assumed that the weight of one cubic unit of the liquid is [tex]10000 \text{ N/m}^3[/tex].
Break down the vertical tank into parallel disc elements whose thickness is dh and are located at a height h from the ground. The radius of the element at height h is r.
It is given that the height of the tank is 6 m and the base radius is 5 meters. Using these, the ratio of the radius r at height h to the height h by using the triangle similarity criterion is,
[tex]\frac{h}{r}=\frac{6}{5} \\ r=\frac{5h}{6}[/tex]
Using the above value of r, the volume of the element is given by,
[tex]V= \pi r^2dh\\V=\pi (\frac{5h}{6})^2dh\\V= \frac{25\pi h^2}{36} dh[/tex]
The weight of the volume element is the force required.
The weight of one cubic unit of the liquid is [tex]10000 \text{ N/m}^3[/tex].
So the weight F of the volume element at height h is given by,
[tex]F=10000 (\frac{25 \pi h^2}{ 36})dh\\F= 6944.44\pi h^2dh[/tex]
At the height h, the difference in the height of the top of the tank and the volume element is (6-h). So the work required to pump out the volume of liquid at height h is given by the integrating the equation,
[tex]W=6944.44\pi\int\limits^6_0 {(6h^2-h^3)} \, dx \\\\W=69.44\pi \left[ 2h^3-\frac{h^4}{4}\right]^6_0\\W=2,.35\times10^6\text{ J}[/tex]
The value of the W obtained is 2.35*10^6 J or 2.35 MJ.
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A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with ____.
A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with MOLAP.
A multidimensional database offers the capacity to swiftly process records and generates answers quickly. MDBs allow customers ask questions about agencies' operations and traits.
The multidimensional databases employ MOLAP (multidimensional on line analytical processing) to get entry to its records. They allow the customers to speedy get solutions to their requests through producing and studying the information as a substitute speedy. The information in multidimensional databases is saved in a statistics dice layout.
In a dimensional database, you've got rows and columns, represented by way of X and Y. In a multidimensional database, you've got were given X, Y, Z, etc. depending on the number of dimensions to your statistics. below is an example of a 3-Dimensional information Array represented in a relational desk and in three-D.
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A car is being driven at a rate of 60 ft/sec when the brakes are applied. The car decelerates at a constant rate of 19
The car will take 300 m before it stops due to applying break.
What's the relation between initial velocity, final velocity, acceleration and distance?As per Newton's equation of motion, V² - U² = 2aSV= final velocity velocity of the object, U = initial velocity velocity of the object, a= acceleration, S = distance covered by the object Here, U = 60 ft/sec, V = 0 m/s, a= -6 ft/sec²So, 0² - 60² = 2×6× S=> -3600 = -12S
=> S = 3600/12 = 300 m
Thus, we can conclude that the distance covered by the car is 300 m before it stopped.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: A car is being driven at a rate of 60 ft/sec when the brakes are applied. The car decelerates at a constant rate of 6 ft/sec². How long will it take before the car stops?
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Which kinetic chain checkpoint should be observed carefully because it controls the movement of the lower extremities? The hip The knee The shoulder The head and neck
The hip is the kinetic chain checkpoint which controls the movement of the lower extremities and is denoted as option A.
What is Hip?
This part of the body has a ball-and-socket joint and ensures adequate movement of the legs.
The legs and other parts such as ankle etc are referred to as the lower extremities thereby making it the most appropriate choice.
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Two bumpers cars are headed for a collision at Rue Le Dodge on a Great America physics field trip. One bumper car has a mass of 46.3 kg heading to the right at 5.24 m/s, while the other has a mass of 55.4 kg headed in the opposite direction (to the left) at a speed of 1.79 m/s. If the two bumper cars collide, what will be the total momentum of both cars after the collision? Round your answer to two decimals.
The total momentum after collision is 143.466 kgm/s.
What is momentum of a body?
The momentum of a body is the product of the mass and the velocity of the body.
Momentum = mass * velocityAssuming the right direction as positive and left direction as negative:
Total Momentum before collision = Total Momentum after collisionMomentum to the right = 46.3 * 5.24 = +242.612 kgm/s
Momentum to the left = 55.4 * -1.79 = -99.166 kgm/s
Total momentum before collision = +242.612 kgm/s - 99.166 kgm/s
Total momentum before collision = 143.466 kgm/s
Thus, total momentum after collision is 143.466 kgm/s.
In conclusion, momentum is conserved in an isolated system of colliding bodies.
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What is the energy of a photon of ultraviolet radiation with a frequency of 4.4 × 1015 hz? planck’s constant is 6.63 × 10–34 j • s. 2.9 × 10–18 j 2.9 × 10–34 j 2.9 × 10–48 j
The energy of a photon of ultraviolet radiation is E = 2.91 * 10^-18 J
What is a photon?
A photon is a particle of light defined as a discrete bundle (or quantum) of electromagnetic energy.
The energy of a photon is obtained by multiplying Planck's constant by the frequency of electromagnetic radiation:
E = h * f
where,
h is Planck's constant
h= 6.63×10⁻³⁴ Js
f= 4.4×10^15 Hz
Substituting the values in the equation for Energy:
E = (6.63×10⁻³⁴) * ( 4.4×10^15)
E = 2.91 * 10^-18 J
Hence,
The energy of a photon of ultraviolet radiation is E = 2.91 * 10^-18 J
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Answer: the first choice!
Explanation: did it the question on edg!:)
What mass will accelerate at 3 m/s² when a net force of 150 N acts on it?
Answer:
[tex]\huge\boxed{\sf m = 50\ kg}[/tex]
Explanation:
Given data:Acceleration = a = 3 m/s²
Force = F = 150 N
Required:Mass = m = ?
Formula:F = ma
Solution:Put the givens in the formula
150 = m (3)
Divide 3 to both sides
150/3 = m
50 kg = m
m = 50 kg
[tex]\rule[225]{225}{2}[/tex]
Answer the following regarding Momentum Change and Force
1. Find the force necessary to gain a velocity of 60 m s-1 within 5 minutes, when acted on a mass of 200 kg which is initially at rest.
2. A force of 150 N acts on an object of mass 600 kg for 2 minutes, which was initially at rest. Find the velocity gained by the object at the end of the second minute.
The force necessary to gain the velocity is 40 N.
The velocity gained by the object at the end of the second minute is 30 m/s.
Force of the objectF = mv/t
where;
m is mass of the object = 200 kgv is velocity of the object = 60 m/st is time of motion = 5 mins = 300 secondsF = (200 x 60)/(300)
F = 40 N
Velocity of the objectF = mv/t
Ft = mv
v = Ft/m
where;
m is mass = 600 kgF is force = 150 Nt is time = 2 mins = 120 sv = (150 x 120)/(600)
v = 30 m/s
Thus, the force necessary to gain the velocity is 40 N.
The velocity gained by the object at the end of the second minute is 30 m/s.
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A relief plane flying horizontally at 65.0 m/s is delivering a
food package to people stranded on an island. If the
island is a horizontal distance of 789 m away,
how high is the plane?
(Unit = m)
22000
Ay (m)
mily
The height of the plane delivering a food package to people stranded on an island is 722.2 m.
Time of motion of the food package
The time taken for the food package to hit the ground level is calculated as follows;
X = vt
where;
X is horizontal distance traveled by the food packagev is horizontal distancet is time of motiont = X/v
t = 789/65
t = 12.14 seconds
Height of the planeh = ¹/₂gt²
where;
h is height of fall of the food package which is height of the planet is time of motion of food packageg is acceleration due to gravityh = (0.5)(9.8)(12.14²)
h = 722.2 m
Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.
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Answer:
722.2
Explanation:
During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 0.0500 s, what was the magnitude of the average force applied to the ball
The magnitude of average force applied to the ball is 128N.
To find the answer, we need to know about the average force.
What's average force?According to Newton's law, average force= change in momentum/timeHere, change in momentum= 0.2×20-(-0.2×12) = 6.4 kg m/sTime = 0.05sAverage force= 6.4/0.05= 128NThus, we can conclude that the average force is 128N.
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Patient is in the ed due to a football hitting his nose when playing tackle football in the park. X-ray shows a displaced nasal fracture. What icd-10-cm codes are reported?
ICD-10-CM codes are -S02.2XXA, W21.01XA, Y93.61, Y92.830
S02.2 for Fracture, Traumatic/Nasal (Bone(s)), ICD-10-CM Alphabetic Index. Both the open fracture code and the dislocation code are not reported. Only the fracture code is provided if a fracture and a dislocation happen at the same place. Search for "dislocation/with fracture" in the alphabetical index to be sent to a doctor. A closed fracture is a fracture with displacement. To report the conditions leading up to the injury, external cause codes are utilized. Look for Struck (accidentally) by/ball (struck) (thrown)/football W21.01 in the ICD-10-CM External Cause of Injuries Index. Seven characters are required in the Tabular List to finish the code. For the first encounter, X is utilized as a stand-in for character number six, and character number seven is given the letter A.
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Because white dwarfs are small, as their name implies, they are hard to see. What is a way astronomers have to find white dwarfs that distinguishes them from main sequence stars
Astronomers find white dwarfs that distinguish them from main sequence stars because white dwarfs get really hot, we can search for their ultraviolet radiation.
What is a white dwarf?A white dwarf is a very hot star that radiated much energy in the form of ultraviolet radiation.
This UV radiation is initially very bright and then these stars become red with time.
In conclusion, Astronomers find white dwarfs they can search for their ultraviolet radiation.
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A drop of oil is floating between two parallel plates with a separation of 8.3 mm. If the mass of the oil drop is 2.7 x 10-15 kg, and its charge is -9.612 x 10-19 C, determine the voltage across the charged plates and determine which plate is positive.
The voltage across the charged plates is 228.5 V.
Voltage across the platesV = Fd/q
V = (mgd)/q
where;
m is mass of the oilg is acceleration due to gravityd is the distance of separationq is chargeV = (2.7 x 10⁻¹⁵ x 9.8 x 8.3 x 10⁻³) / (9.612 x 10⁻¹⁹)
V = 228.5 V
Thus, the voltage across the charged plates is 228.5 V.
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A researcher determined the amount of electrical energy entering a neon lighted sign and compared it with the amount of light produced by the sign. The researcher found that the amount of light energy produced was less than the amount of electrical energy used.
Select the best explanation of this observation.
Group of answer choices
a. Some of the energy was destroyed during the conversion.
b. Some energy was created during the conversion.
c. Some of the energy is converted into thermal energy.
d. Not all of the electrical energy entering the neon sign was used.
The best explanation of the observation of the researcher is that some of the energy is converted into thermal energy (option C).
How does energy transfer?Energy, according to the law of conservation of energy, cannot be created nor destroyed but transformed.
According to this question, a researcher found that the amount of light energy produced in a neon lighted sign was less than the amount of electrical energy used.
This suggests that some of the energy is converted into thermal energy.
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The reason the jovian planets lost very little of their original atmosphere is due to their?
The reason for which the jovian planets lost very little of their original atmosphere is due to their large mass.
What are the jovian planets?The jovian planets are celestial bodies formed by gaseous huge masses of dust instead of rock planes such as, among others, the Earth planet.
These types of planets (jovian planets) include four major celestial bodies, i.e., Jupiter, Saturn, Uranus, and Neptune.
The jovian planets are characterized to have a thick atmosphere that is composed of different elements such as hydrogen, and methane.
In conclusion, the reason for which the jovian planets lost very little of their original atmosphere is due to their large mass.
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When you lift a book from the ground to your desk, what kind of work do you do, negative or positive
When you lift the book, you are doing positive work
Because the force you apply to the book is in the same direction as its displacement, lifting it is considered positive work. Inverse work is being done by gravity. The gravitational potential energy of the object increases as you elevate the book.
What is Work ?The product of an object's displacement and the component of the applied force that is directed in the direction of the object's displacement is known as the work done by a force.
Positive Work: When a force is applied to an object in its direction of motion, it is said to have been performed positively.Negative Work Done: When a force is applied to an object in the wrong direction, the work is said to be negative.Learn more about Work here:
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The path of a charged particle moving parallel to a uniform magnetic field will be a:______.
The path of a charged particle moving parallel to a uniform magnetic field will be straight line
Force on a charged particle moving in a magnetic field can be calculated by = q.(v*B )
q = charge of the particle
v = velocity of the particle
B = magnetic field
theta = angle between v and B
q . (v B sin (theta) )
Since, particle is parallel to the magnetic field
hence , theta = 0°
so sin(theta) = sin 0° = 0
hence , force = 0
since , there is no force acting on the particle it will remain in that motion in hat it was when it initially came in the magnetic field . Hence It will be moving along a straight line path because the magnetic force on the charged particle is zero.
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Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each:
Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each nucleotide is incorporated during synthesis.
Each nucleotide is marked with fluorescent dye, and a some traces of fluorescent intensities helps identify sequences.
What is nucleotide?
Nucleotides are organic compounds made up of a phosphate and a nucleoside.They function as monomeric units of the key macromolecules found in all living forms on Earth, deoxyribonucleic acid (DNA), and ribonucleic acid (RNA), which are both nucleic acid polymers. In addition to being produced by the liver from common nutrients, nucleotides can also be received through diet. A nucleobase, a five-carbon sugar (ribose or deoxyribose), and a phosphate group made up of one to three phosphates are the three component molecules that make up a nucleotide. Guanine, adenine, cytosine, and thymine are the four nucleobases found in DNA; uracil is used in place of thymine in RNA.On a fundamental, biological level, nucleotides are also essential to metabolism. They supply chemical energy throughout the cell in the form of the nucleoside triphosphates adenosine triphosphate (ATP), guanosine triphosphate (GTP), cytidine triphosphate (CTP), and uridine triphosphate (UTP).These are necessary for the synthesis of amino acids, proteins, and cell membranes as well as for moving the cell and its components (both internally and between cells), cell division, and other cellular processes.Nucleotides are also key cofactors in enzyme activities and take role in cell signaling (cyclic guanosine monophosphate, or cGMP, and cyclic adenosine monophosphate, or cAMP).Know more about nucleotide https://brainly.com/question/13185536
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A microwave is a(n) _____ that is directed from one microwave station tower to another
The high-frequency radio signal is the answer.
Radiofrequency (RF) radios are in the wavelength band of 100 to 10 meters and extend from 3 MHz to 30 MHz. Much of the HF bandwidth is allocated to mobile and fixed voice communications services that require transmission bandwidth of less than 12 kHz. International (Shortwave) Broadcast
Radio Frequency (HF) is an ITU term for the range of high-frequency electromagnetic waves (radio waves) from 3 to 30 MHz (MHz). It is also known as the decameter band or decameter wave because it has wavelengths in the range of 1 to 10 decameter (tens to hundreds of meters).
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A car increases its speed from 30 km/h to 60 km/h in 5 seconds. Its acceleration
Answer:6km/sec
Explanation: Acceleration = Change in velocity / Time
Change in velocity = 60km/h minus 30km/hr
Time = 5seconds