A wire ring of internal radius
3cm and external radius 3.2 cm is
rested on the surface of a liquid and
then raised. An extra pulling force
equivalent to the weight of 3.03g is
required before the film breaks than it
is after. Calculate the surface tension
of the liquid.

Answers

Answer 1

The surface tension of the liquid is 24.1 g/m.

How do you determine the surface tension of the liquid?

To determine the surface tension of the liquid, employ the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

Hence, the surface tension can be determined following our chosing formula:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

It can then be concluded that the surface tension of the liquid is 24.1 g/m.

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Related Questions

Jan is holding an ice cube. What causes the ice to melt?

Thermal energy from the ice is transferred to the air.
Thermal energy from Jan’s hand is transferred to the ice.
The air absorbs thermal energy from Jan’s hand.
Jan’s hand absorbs thermal energy from the ice.

Answers

The ice melts because Thermal energy from Jan’s hand is transferred to the ice.

What is thermal energy?

Thermal energy is the energy due to temperature difference.

Thermal energy flows from hotter to colder bodies.

The ice Jan is holding melts because heat is transferred from his hands t the ice.

In conclusion, thermal energy flow causes melting.

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Answer:

its b

Explanation:

because the heat from your hand makes the ice melt!

= Sem 2 CR-SS159VGSZE
nating a my ponnesis. I art
Since the investigative question has two variables, you
need to focus on each one separately. Thinking only
about the first part of the question, mass, what might be
a hypothesis that would illustrate the relationship
between mass and kinetic energy? Use the format of
"if...then...because..." when writing your hypothesis.

Answers

The relationship between mass and kinetic energy is K.E ∝ m and K.E ∝ v².

What is the relationship between mass and kinetic energy?

The kinetic energy of an object exists as the energy that it maintains due to its motion. It is defined as the work required to accelerate a body of a disseminated mass from rest to its stated velocity. Having acquired this energy during its acceleration, the body preserves this kinetic energy unless its speed changes.

The kinetic energy is directly proportional to the mass and also directly proportional to the square of the velocity.If we increase the mass, then kinetic energy will also increase.But if we increase the velocity by n times , then the kinetic energy will increase by [tex]n^{2}[/tex] times.

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To correct myopia (nearsightedness) requires ___________ lenses; to correct hyperopia (farsightedness) requires _____________ lenses to correct.

Answers

By using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

To find the answer, we need to know about Myopia and Hyperopia.

What is Myopia and Hyperopia?Myopia is an optical defect, in which a person can see nearby objects clearly and cannot see far off objects clearly.Here the eyeball becomes too longer, and the focal length of eye lens become too short.It can be corrected by using concave lens.For Hyperopia, the person can see far off objects clearly and cannot see nearby objects clearly.This can be corrected by using convex lens.

Thus, we can conclude that, by using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

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Myopia can be corrected using concave lenses, while the Hyperopia is corrected by convex lenses.

We need to be aware of myopia and hyperopia in order to locate the solution.

Myopia and hyperopia: what are they?Myopia is an optical defect in which a person can see clearly up close but not clearly far away.Here, the eyeball lengthens excessively and the eye lens focal length contracts.Concave lenses can be used to rectify it.A person with hyperopia can clearly see distant objects but cannot see nearby objects clearly.Convex lenses can be used to fix this.

Thus, we can deduce that myopia and hyperopia can be corrected using concave lenses and convex lenses, respectively.

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What is a stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second?

Answers

A stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second will be 40 [tex]m^{3}[/tex]/sec .

Discharge rate = velocity * area

                 = velocity * depth * width

                 = 2 * 2 * 10 = 40 [tex]m^{3}[/tex]/sec

A stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second will be 40 [tex]m^{3}[/tex]/sec .

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A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is the frequency of its oscillations?

Answers

The frequency of oscillation is 2.153 Hz

What is the frequency of spring?

Spring Frequency is the natural frequency of spring with a weight at the lower end. Spring is fixed from the upper end and the lower end is free.

For the mass-spring system in this problem,

The Frequency of spring is calculated with the equation:

[tex]f = \frac{1}{2\pi } \sqrt{\frac{k}{m} }[/tex]

Where,

f = frequency of spring

k = spring constant = 64 N/m

m = mass attached to spring = 350g = 0.350 kg

a = maximum acceleration = 5.3 m/s^2

Substituting the values in the equation,

[tex]f = \frac{1}{2\pi } \sqrt{\frac{64}{0.350} }[/tex]

[tex]f = \frac{1}{2\pi } ( 13.522)[/tex]

[tex]f = 2.1535 Hz[/tex]

Hence,

The frequency of oscillation is 2.153 Hz

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The following is regarding Momentum Change and Force. help is needed please!

1. A force of 50 N acts on an object of mass 250 kg which is initially at rest, for 10 s. find the distance travelled and the velocity gained at the end of this time.

Answers

The distance travelled  is 10 m and the velocity gained at the end of this time is 2 m/s.

Velocity of the object at the end of the time

F = mv/t

where;

m is mass of the objectv is velocity of the objectt is time

Ft = mv

v = Ft/m

v = (50 x 10)/250

v = 2 m/s

Distance traveled by the object

v² = u² + 2as

where;

u is initial velocity = 0

a is acceleration

a = F/m

a = 50 N/ 250 kg

a = 0.2 m/s²

v² = 0 + 2as

s = v²/2a

s = (2²)/(2 x 0.2)

s = 10 m

Thus, the distance travelled  is 10 m and the velocity gained at the end of this time is 2 m/s.

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A computer uses 3.5 A at 110 V. What is its resistance in ohms?

Answers

Answer:

31.43 Ω

Explanation:

Using Ohm's Law:

[tex]\displaystyle{V=IR}[/tex]

Where V = voltage (V) , I = electric current (A) and R = resistance (ohm)

We know that a computer uses 3.5 ampere at 110 volt, we want to know the resistance. Therefore substitute V = 110 and A = 3.5

[tex]\displaystyle{110=3.5R}\\\\\displaystyle{\dfrac{110}{3.5}=R}\\\\\displaystyle{R=31.43}[/tex]

Therefore, the resistance will be around 31.43 Ohm

Please give detailed explanation​

Answers

Answer:

» (a)

Explanation:

Velocity is the rate of change in displacement.

[tex]{ \rm{velocity = \frac{ \triangle displacement}{time} }} \\ [/tex]

The change from one position to another is displacement or distance between the points.

[tex] = { \rm{ \frac{22000}{200} }} \\ \\ = { \tt{110 \: m {s}^{ - 1} }}[/tex]

What was Kobe’s attitude toward life and competition?

Answers

Answer: Positive

Explanation: Kobe has had an positive attitude on situations and life itself. No matter the competition he still kept a positive attitude regardless. He still wished the best for others even if his enemies thought otherwise. So Kobe was a positive person on the outlook of life and competition.

Calculate the force needed to give a car of mass 800 kg an acceleration of 2.0 ms−2. plss quick

Answers

The force needed to give a car of mass 800 kg an acceleration of 2.0 ms-² is 1600N.

How to calculate force?

The force needed to push an object can be calculated by multiplying the mass of the object by its acceleration as follows:

Force = mass × acceleration

According to this question, a car of mass 800 kg has an acceleration of 2.0 ms−². The force is calculated as follows:

Force = 800kg × 2m/s²

Force = 1600N

Therefore, the force needed to give a car of mass 800 kg an acceleration of 2.0 ms-² is 1600N.

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Excessive use of fossil fuels causes an energy crisis

Answers

yes, it causes an energy crisis. Burning Fossil Fuels

When we burn oil, coal, and gas, we don't just meet our energy needs, we move the current global warming crisis as well.

Fossil fuels produce large amounts of carbon dioxide when burned. Carbon emissions trap heat in the air and lead to climate change.

What are the major causes of energy crisis?

Most energy crises have been caused by localized shortages, wars and market manipulation. Some have argued that government efforts like tax hikes, nationalization of energy companies, and rule of the energy sector, shift supply and demand of energy away from its economic stability.

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A 50.0 g stone is attached to the bottom of a vertical spring and set vibrating. If the maximum speed of the stone is 15.0 cm/s and the period is 0.500 s, find the (a) spring constant of the spring, (b) amplitude of the motion, and (c) frequency of oscillation.

Answers

Spring constant of the spring, amplitude of the motion, and frequency of oscillation are respectively 8N/m, 1.2 cm and 2Hz.

To find the answer, we need to know about angular frequency, frequency, amplitude of spring mass system.

What's the angular frequency of the spring mass system, if its time period is 0.5 second?Mathematically, w=2π/Tw= 2π/0.5= 12.6 rad/sWhat's the relation between angular frequency and spring constant?Mathematically, w =√(k/m)k= w²mHere, w= 12.6 rad/s, m= 50gm = 0.05kg k= 12.6²× 0.05 = 8 N/mWhat's the relation between amplitude, angular frequency and velocity of mass of a spring mass system?Mathematically, Amplitude= velocity/angular frequencyHere, velocity= 15 cm/s = 0.15m/s, angular frequency= 12.6 rad/sAmplitude= 0.15/12.6= 0.012m = 1.2 cmWhat's the expression of frequency in term of time period?Frequency= 1/time periodHere time period= 0.5 sFrequency= 1/0.5 = 2 Hz

Thus, we can conclude that spring constant of the spring, amplitude of the motion, and frequency of oscillation are respectively 8N/m, 1.2 cm and 2Hz.

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A hypothetical metal has the bcc crystal structure, a density of 7. 24 g/cm3, and an atomic weight of 48. 9 g/mol. The atomic radius of this metal is.

Answers

Atomic radius of this metal is 0.85 x 10^23

Given:

density of metal = 7. 24 g/cm3

metal has the bcc crystal structure

atomic weight = 48. 9 g/mol

To Find:

atomic radius of this metal

Solution: Atomic radius is defined as half the distance between the centers of two neighboring atoms. the atomic radius of a simple cube and hcp is a/2 respectively, whereas it is a√2/4 and a√3/4 for fcc and bcc respectively.

density = Z x M/N• x a^3

a = edge length

Z = 2 atoms = numeber of atoms per unit cell

N• = 6.023 x 10^23 atoms/mol = Avogadro's number

a^3 = density x N•/Z x M

a^3 = 7.24 x 6.023 x 10^23/ 2 x 48. 9

a = 3√0.44 x 10^23

a = 1.98 x 10^23

4R = √3a

R = √3 x 1.98 x 10^23/4

R = 0.85 x 10^23

Atomic radius of this metal is 0.85 x 10^23

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Astronomers have realized that the surface of ida is older than the surface of gaspra. How do they measure this?

Answers

From counting craters on each asteroids , astronomers have realized that the surface of ida is older than the surface of gaspra.

Ida, and Gaspra are three objects located in the asteroid belt between Mars and Jupiter.

Crater counting is a method for estimating the age of a planet's surface based upon the assumptions that when a piece of planetary surface is new, then it has no impact craters; impact craters accumulate after that at a rate that is assumed known.

Counting how many craters of various sizes there are in a given area allows determining how long they have accumulated and consequently, how long ago the surface has formed. Hence , from counting craters on each asteroids ,astronomers have realized that the surface of ida is older than the surface of gaspra.

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The evolutionary cutoff between low- and high-mass stars occurs at approximately:

Answers

The evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

What are high-mass stars?

The high-mass stars are celestial bodies that exhibit a high level of luminosity and lived for short periods of time.

Conversely, low-mass stars are small and cool stars that lived for a long period of time.

In conclusion, the evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

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51. After conducting a search directly above the floor of a fire in a high rise building what is your next priority

Answers

After conducting a search directly above the floor of a fire in a high rise building what is your next priority is  that their own safety is the first priority.

Life safety is the top consideration at any fire incident. Firefighters practice frequently to be ready to free trapped persons from a burning structure. On some occasions, though, it's the firefighters who require assistance.

What are the three incident priorities?

Reviewing the three main responsibilities on the fireground—life safety, incident stabilization, and property preservation—is a good idea. These three concerns must be taken care of at every fire scene to which we react. The circumstances will determine which ones are addressed in what order.

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He wavelengths of the sounds produced by two horns are 6.0 m and 7.0 m, respectively. what beat frequency is heard when the horns are sounded on a day when the speed of sound is 340 m/s?

Answers

The beat frequency will be 8.1 Hz  when the horns are sounded on a day when the speed of sound is 340 m/s

frequency = speed / wavelength

f1 = 340 / 6 = 56.67 Hz

f2 = 340 / 7 =  48.57 Hz

Beat frequency  = fb = | f2 - f1 |

                                   = | 48.57  - 56.67 |

                                   = 8.1 Hz

The beat frequency will be 8.1 Hz  when the horns are sounded on a day when the speed of sound is 340 m/s

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Define mass .Also write the table showing the relation of 'kg' with it's sub- multiples and multiples.​

Answers

Answer:

the quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Answer:

The quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Explanation:

4. Which is the best season for shearing? Why?

Answers

Answer:

During dry season /Spring

Explanation:

Shearing is the removal of wool from a sheep. When you remove wool from sheep, you subject the sheep to cold since nothing is covering the entire body. Therefore, the most suitable season is during dry periods/ Spring since you won't subjects the sheep to cold but warm environment. Thus important to consider that.

PLSLPSLLPSLPSLPS HELP I ONLY HAVE 5 MINS PLEASE


a bus slows down from 50.0 km/h to 36.5/h in the school zone. determine the magnitude of the vehicle's acceleration if it took 19.5 seconds to slow down.

Answers

Answer:

0.19m/s²

Explanation:

Initial velocity(u) = 50×1000/60×60

=13.88 m/s

Final velocity(v) = 36.5×1000/60×60

=10.13 m/s

Acceleration(a) = v-u/t

=10.13-13.88/19.5

a= -0.19m/s²

-a = 0.19m/s²

The magnitude of retar dation is 0.19m/s²

Answer:

[tex]\sf 0.192\:ms^{-2}\:\:(3\:s.f.)[/tex]

Explanation:

Given:

initial velocity (u) = 50.0 km/hfinal velocity (v) = 36.5 km/htime (t) = 19.6 seconds

First, convert the velocities into meters per second by dividing by 3.6:

[tex]\implies \sf 50.0\: km h^{-1}=\dfrac{50.0}{3.6}\:ms^{-1}= \dfrac{125}{9}\:ms^{-1}[/tex]

[tex]\implies \sf 36.5\: km h^{-1}=\dfrac{36.5}{3.6}\:ms^{-1}= \dfrac{365}{36}\:ms^{-1}[/tex]

To find the vehicle's acceleration, use one of the constant acceleration equations with the given values:

[tex]\implies \sf v=u+at[/tex]

[tex]\implies \sf \dfrac{365}{36}=\dfrac{125}{9}+19.5a[/tex]

[tex]\implies \sf \dfrac{365}{36}-\dfrac{125}{9}=19.5a[/tex]

[tex]\implies \sf 19.5a=-3.75[/tex]

[tex]\implies \sf a=-\dfrac{3.75}{19.5}[/tex]

[tex]\implies \sf a=-0.1923076923...\:ms^{-2}[/tex]

Therefore, the magnitude of acceleration is:

[tex]\implies \sf |a|=|-0.19230...|=0.192\:ms^{-2}\:\:(3\:s.f.)[/tex]

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How should you plan to excercise if you want to remain healthy past the age of 65

Answers

Run,karate,aerobic exercise

Explanation:

by taking a brisk walking about 150 minutes

2 days a week exercise that strengths muscles

drinking water

Even with the best and largest telescopes, we can’t see all the stars in the milky way galaxy, even though these same telescopes can show us other galaxies. Why is that?

Answers

Because starlight cannot pass through black space, we are unable to view all of the stars in the Milky Way galaxy, even with the best and largest telescopes.

In the Milky Way galaxy, the Earth is situated. Part of it can be seen as a broad, opaque ring of stars and dust on a clear night (from sufficiently dark areas). We can see thousands of these stars with our unaided eyes, and a telescope can reveal many more.

However, a large number of the Milky Way's stars are obscured. The supermassive black hole at the centre of the galaxy and the bulge, which is made up of stars, gas, and dust, are to blame for this. The substance in this is opaque to all but the most powerful telescopes.

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PLS GIVE RIGHT ANSWER
I GIVE UP
YOU WILL GET 100 PTS or MORE

Answers

Answer:

it is in explanation part

Explanation:

9

7

3

2

5

8

1

11

14

12

13

Answer:  

Explanation:

The work-energy principle states that the work done by all the __________ forces acting on an object (or system of objects) causes a change in total __________ of the object or system.

Answers

The work-energy principle states that the work done by all the non-conservative forces acting on an object (or system of objects) causes a change in the total mechanical energy of the object or system.


What is the work-energy principle?
The work-energy principle states that the total work done on a system is equal to the change in kinetic energy of the system. It is given as:

W.D = ΔK.E

       = K.E₁ - K.E₂

where K.E₁ is the initial kinetic energy of the system

            K.E₂ is the final kinetic energy of the system



What is meant by non-conservative forces?

Non-conservative forces as the name suggests are not conserved i.e. these forces cause a loss of mechanical energy from the system. A prime example of non-conservative forces is friction.

The total mechanical energy of the system is the sum of the potential energy and kinetic energy that the system contains. This energy is conserved and follows the work-energy theorem.

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A molecular cloud fragments as it collapses because Choose one: A. the interstellar wind is stronger in some places than others. B. the density increases fastest in the center of the cloud. C. the rotation of the cloud throws some mass to the outer regions. D. density variations from place to place grow larger as the cloud collapses.

Answers

The cause for a molecular cloud forming fragments when it collapses is indicated correctly by option D. density variations from place to place grow larger as the cloud collapses.

Molecular cloud:

A molecular cloud, also known as a stellar nursery, is a specific kind of interstellar cloud, whose density and size allow the development of molecules, absorption nebulae, and H II regions. In contrast, some regions of the interstellar medium mostly consist of ionized gas.

Molecular clouds are cold, dense areas of space where stars form. The cloud collapses into a proto-star when the gravitational force pulling it in outweighs the internal pressure pushing it in.

When a molecular cloud collapses, it is observed that the density varies from place to place with the variation increasing with collapse. As a result, the collapse is characterized by fragmentation of the cloud.

Thus the correct option is: D. density variations from place to place grow larger as the cloud collapses.

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What does the length of a vector arrow represent?
O A. angle
OB. magnitude
C. direction
OD. force

Answers

the length of a vector arrow represents an magnitude

If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, what is the Earth's Mass

Answers

Answer: If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, then, the Earth's Mass is [tex]6*10^{24}kg[/tex].

Explanation: To find the answer, we have to know more about the Law of periods or the harmonic law.

What is the law of periods or harmonic law?The law of periods states that, the square of the period of revolution of a planet is proportional to the cube of the semi major axis of the elliptical path.We can express it as,

                                              [tex]T^2[/tex]∝ [tex]r^3[/tex]

                                            [tex]T^2=\frac{4\pi ^2r^3}{GM}[/tex]

How to solve the problem?From the above given equation, we can reduce mass of earth as,

                                     [tex]M=\frac{4\pi ^2r^3}{GT^2}[/tex]

Substituting the values given in the question, we get,

           [tex]M=\frac{4\pi ^2(3.8*10^8)^3}{6.67*10^-11*(27.3*24*60*60s)^2} =\frac{2.164*10^{27} }{371.08} =5.831*10^{24}=6*10^{24}kg[/tex]

Thus, we can conclude that, the mass of earth is [tex]6*10^{24}kg[/tex] .

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what is the number of moles in 12.04×10²³ particles of NH3?​

Answers

Answer:

[tex]\huge\boxed{\sf m = 2 \ moles}[/tex]

Explanation:

Given data:

No. of particles = 12.04 × 10²³ particles

Avogadro's number = 6.02 × 10²³

Required:

No. of moles = n = ?

Formula:

[tex]\displaystyle No. \ of\ moles\ = \frac{no.\ of \ particles}{Avogadro's \ number}[/tex]

Solution:

Put the given in the above formula

[tex]\displaystyle n =\frac{12.04 \times 10^{23}}{6.02 \times 10^{23}} \\\\n = 2 \times 1 \ moles\\\\m = 2 \ moles\\\\\rule[225]{225}{2}[/tex]

The mississippi river delta is one in which the primary source of local current energy is ____.

Answers

Answer:potential energy

Explanation:

If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will

Answers

As the acceleration of gravity is less on the moon than on the Earth, thus the resonant frequency of the pendulum will be less on the moon.

Explanation:

The acceleration due to gravity is less on the moon than the gravitational acceleration on the earth. It is required to examine how the resonant frequency of a pendulum is changed on the moon compared to the earth.

We know that the resonant frequency is dependent on the acceleration of gravity.

[tex]$f=\frac{1}{2 \pi} \sqrt{\frac{g}{l}}$[/tex] where g is the acceleration due to gravity and l is the length of the string.

From the above equation, it is clear that the resonant frequency is directly proportional to the square root of the acceleration due to gravity.

The gravitational acceleration on the moon is less than that on the earth.

Therefore the resonant frequency of the pendulum on the moon is less than that on the earth.

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Which statement is correct regarding adolescents today compared to adolescents in the 19th century?Adolescent girls are beginning menstruation earlier.Adolescents are exhibiting signs of sexual maturity and puberty much later.Adolescents are attaining shorter heights in adulthood.Adolescents are exhibiting advanced levels of intellectual and emotional growth much sooner. List different techniques used in computer aided education and give comparative analysis of them in short PLEASE ADVICE HOW TO USE THIS SITE you are given two strings that each have length n. you must find their lcs; not only its length. you are allowed polynomial time to do this but you must only use linear space. describe how to do this. a point moves in a plane such that its position is defined by x = ln2t and y = 3 t^3. find the acceleration vector when t = 2.2305/16325/4[-1/4, -12][-1/2,-12] fasb is concerned with making sure that everyone using financial reports is____ How is a corporation different from a sole proprietorship? refere to act1 scene2 Identify and discuss the theme which is evident in the way Mr m talks about their relationship with Thami in the extract a wave on a string has a speed of 11.5 m/s and a period of 0.2 s. what is the frwuqncy of the wave ? (11). What is the wavelength of the wave? 3). A transverse wave is described by the expression, y -0.85 sin (6.50x-15607). You may assume all measurements are in the correct Sl units. (a) What is the amplitude of this wave? (b) What is the wavelength of this wave? (c) What is the frequency of this wave? (d) What is the maximum transverse velocity of this wave? I (p) = 135 5p and (p ) = 7p 105a. Find the Equilibrium price p*, Quantity Q*, Consumer Surplus, and Producer Surplus when there is no tax. What was the HoChi Minh Trail?A) a series of overland paths and roads used by the South Vietnamese to move troops B) a system of waterways connecting the Gulf of Tonkin to the Gulf of ThailandC) a series of underground facilities housing American troops and weaponsD) a system of passages used to send supplies and troops from North Vietnam to the South In its first year, A Company had the following data. Sales = 25,000 units Selling price = Birr 100Total variable cost = Birr 1,500,000 TFC = Birr 350,000Required:a) Develop revenues, cost, and profit functions for the company in terms of quantity. b) The intercept of the revenue equation is zero, what do you think is the reason?c) Find the break-even point in terms of quantity. d) Convert the cost equation in terms of quantity in to a cost equation in terms of revenue Using separation of variables technique, solve the following differential equation with the given initial condition y4y+36 and y(2)-10. (Hint: Factor first!)The solution is:OA. Inly-91-4x+8OB. Inly=-4+In 10+8OC. Indy+91-4x-8+In 19OD. Inly+91-4x+In 19+8OE. Inly-91-4x-8 Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50. The ratio of the number of Rs10 notes and Rs20 notes is 2:5. If she has a total of 30 notes, how many notes of each denomination she has. by how many feet would sea level increase over the next 100 years if this rate stays constant? calculate your answer in mm, and then convert to feet using an online conversion calculator. Consider the vectors b = (2, 5, 3) and a = (3, 1, 2). Compute the projection of b onto the line along the vector a as p = xa. The region of the chromosomes where the two duplicated copies of DNA are held together after the DNA is replicated but before mitosis. This may be near the center of the chromosome, but it doesn't have to be. A.kinetochoreB.chromatinC.centrosomeD.centromereE.centriole when summing torques for an object in static equilibrium, any point on the object can be used as the axis of rotation. a. true b. false A 10.0kg gun fires a 0.200kg bullet with an acceleration of 500.0m/s2 . What is the force on the gun? a.50.0N b.2.00N c.100.N d.5,000N suppose that an algorithm performs f(n) steps, and each step takes g(n) time. how long does the algorithm take? f(n)g(n) f(n) g(n) f(n^2) g(n^2)