How do you find the image vertices for dilation with center 0 0 and scale factor 4?

A group of kids were taking a tour and looking inside a cave. The pupils in the cave soon learned that every time they spoke, there was an echo. i.e. (D). the reflection of the sound waves is correct option.

As a result, the reflecting object must be farther away for an echo to be audible to someone standing close to the sound source.

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The fraction of the iceberg that is above the surface of the water is 8.3 %.

The specific gravity of any material is defined as the ratio of the density of the material to the density of water.

Mathematically, the formula for specific gravity of materials =

= S.G = density of the material / density of water

Specific gravity of the iceberg = 0.917

Specific gravity of the seawater = 1.025

The fraction of the iceberg submerged in the seawater =

= 0.917 = 0.917 x 100 %

= 91.7 %

The fraction of the iceberg that is above the surface of the water =

= 1 - 0.917

= 0.083

= 0.083 x 100 %

= 8.3 %

Thus, the fraction of the iceberg submerged in the water is a function of the specific gravity of the iceberg.

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The aspect of using double-sided printing was discussed in class as the most significant benefit of using only one sheet of pаper, insteаd of using two.

Printing single-sided used to be very common, but these dаys duplex printing is becoming more populаr. Double-sided printing is eco-friendly аnd cаn help you sаve money. Аrizonа Stаte University sаved over 700 trees аfter they switched to double-sided printing. In estimаtion, double-sided printing cаn sаve your business аbout hаlf of the cost of printing single-sided pаges.

Since duplex printing uses hаlf the pаper thаt one-sided printing uses, businesses cаn reduce their mаteriаls costs. Not only аre you sаving our plаnet’s trees, but you аre sаving your business money.

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The magnitude of force ( 50 N ) which satellite exerts on her but in opposite direction.

We will apply the Newton's Third Law of motion for solving this problem, which says that, "To each activity, there is an equivalent and inverse response". And that implies if any article (say object 1) apply some power on another article (say object 2), then, at that point, the item 2 will likewise apply same greatness of power on object 1, yet it will be in inverse heading.

So, we have amount of force exerted by a 65-kg astronaut on satellite which is 50N.

To balance that force, satellite will apply same amount of force on astronaut but in just opposite direction .

F' = - F

or F' = - 50 N.

Here, negative sign shows that the direction of force is opposite.

Hence, required value of force is 50N.

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The magnitude of the torque about an athlete shoulder is 48.02N-m if he is holding steel ball in his hand.

We know that torque is defined as the cross product of distance of point from applied point to the force applied by the external source at that point, in other words

Torque=distance × Force

     =>τ = r × F

Total mass hold by the athlete is = 3+4=7kg.

Now, we need to focus on the force acting on an athlete. So we are assuming an athlete is standing on the surface, so acceleration due to gravity have some  role to exert  some amount of force on athlete.

Therefore, Force=mg

=>F=7×9.8

=>F=68.6Kg-m/sec²

Now, distance of force from applied point is 70cm=0.7m

Therefore, Torque=0.7×68.6

              =>Torque= 48.02N-m

Hence, value of Torque is 48.02N-m.

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Using Conservation of energy property

The equilibrium temperature reached is T = 33.8 C

According to the rule of conservation of energy, the overall energy of an isolated system stays constant over time. According to this law, which  first suggested and tested, energy can only be changed or moved from one form to another and cannot be generated or destroyed. For instance, when a stick of dynamite explodes, chemical energy is transformed into kinetic energy. One can calculate the precise reduction in chemical energy in the dynamite's combustion by adding up all the energies released during the explosion, including the kinetic and potential energy of the fragments, heat, and sound.

Heat given off by steam = Heat absorbed by ice

Qs = Qi

[tex]Qs = 0.0075(22.6\ X\ 10^5) + 0.0075(4186)(100-T)\\Qi = 0.040(3.34\ X\ 10^5) + 0.040(4186)(T-0)[/tex]

where

T = equilibrium temperature of the system

Since Qs = Qi,

[tex]0.0075(22.6\ X\ 10^5) + 0.0075(4186)(100 - T) = 0.040(3.34\ X\ 10^5) + 0.040(4186)(T - 0)[/tex]

[tex]0.1695\ X\ 10^5 + 31.395(100 - T) = 0.1336\ X\ 10^5 + 167.44(T)[/tex]

Simplifying,

[tex]0.1695\ X\ 10^5 + 3139.5 - 31.395T = 0.1336\ X\ 10^5 + 167.44T[/tex]

Combining terms,

[tex]167.44T + 31.395T = 0.1695\ X\ 10^5 - 0.1336\ X\ 10^5 + 0.031395\ X\ 10^5[/tex]

and solving for T,

T = 33.8 C

Using Conservation of energy property

The equilibrium temperature reached is T = 33.8 C

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The acceleration of this object is 5 m/s².

Initial velocity = 0 m/s (since the object starts from rest).

Distance = 10 meters

Time = 2 seconds.

To find the acceleration of the object, we would use the second equation of motion:

Mathematically, the second equation of motion is given by the formula;

= s = ut + (1/2)at²

Where;

S represents the distance covered.

u is the initial velocity.

a represents the acceleration.

t is the time measured in seconds.

Substituting the parameters into the formula, we have;

= 10 = 0 + (1/2)a(2)²

= a = 10/2

= a = 5 m/s²

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Photon energy is denoted by hc/lamda. If we consider that an electron's total energy e is much more than its rest energy. Additionally, the de Broglie wavelength of an electron.

Is the same as the wavelength of a photon. One photon's energy is referred to as photon energy. Energy is inversely proportional to wavelength and directly proportional to the electromagnetic frequency of the photon. The frequency of a photon determines its energy. The energy of a photon decreases according to its wavelength. In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is the separation between adjacent spots on a wave that correspond to the same phase.

Photon energy is denoted by hc/lamda.

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Answer:

Below

Explanation:

Going forward and stops .....the backpack wants to keep going forward due to its inertia.

The radius of the event horizon (proportional to the mass) is very small, only 30 kilometers for a non-spinning black hole with the mass of 10 Suns.

The Schwarzschild Radius, which honors Karl Schwarzschild, is the more accurate designation for the event horizon. The Schwarzschild Radius has the formula Rs = 2GM/c2. "M" stands for the black hole's mass, "c" for the speed of light, and "G" stands for the gravitational constant (6.67 x 10-11 m3/(kg x s2)). The supermassive black hole at the Milky Way's Galactic Center has a Schwarzschild radius of roughly 12 million kilometers. It has a mass of roughly 4.1 million M. The physical quantity known as the Schwarzschild radius, also known as the gravitational radius, is used to define the Schwarzschild black hole's event horizon in the Schwarzschild solution to Einstein's field equations. It is a characteristic radius associated with any quantity of mass.

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The momentum of system is zero because velocities of the bodies may be equal to zero or may be be equal in magnitude but opposite in direction.

We know very well that momentum of body is given by the product of mass of that body with the velocity of that body, or in other words

Momentum=mass × velocity

=>p=m × v

Since, we are given that total momentum of the system is zero. In this universe every object has some mass ,so mass never be zero and never be negative. Now, talking about the velocity of the body. If velocity of all bodies is zero, in that total momentum of the system remains zero. So, this will be possible.

Now, there is one more possibility in the system two bodies have same velocity in magnitude but their direction of propagation is opposite to each other. In that case also their velocity cancel each other, due to that momentum remain as it is zero. So, this is one of possibility.

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Based on the wavelength of the light, the energy of the photons emitted by a sodium lamp is 17.74 X 10² kJ/mol.

The energy is given by the formula;

E = hv

where,

h is Planck's constant = 6.63 X 10⁻³⁴ Js

f is frequency of light

Also, f = c/λ

where,

c is velocity of light = 3.0 X 10⁸ m/s

λ is wavelength of light = 589 nm = 6.75 X 10⁻⁷ m

1 mole of sodium atom will emit 6.02 X 10²³ photons,

N = 6.02 X 10²³ photons,

Thus,

= E = Nhc/λ

= E = (6.02 X 10²³ X 6.63 X 10⁻³⁴ J.s X 3.0 X 10⁸ m/s)/6.75 X 10⁻⁷ m

= E = 119.74 X 10⁻³ / 6.75 X 10⁻⁷

= E = 17.74 X 10⁵ J/mol

= E = 17.74 X 10² kJ/mol

Therefore, the energy of the photons emitted by a sodium lamp is 17.74 X 10² kJ/mol.

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The magnitude of the velocity change increases with lengthier acceleration. When acceleration is constant, the change in velocity is directly proportional to time.

The rate at which the velocity of any moving object changes is measured by acceleration. The velocity change divided by the time represents the acceleration. Both the magnitude and the direction of acceleration are present.

Therefore, An object's motion can be depicted by a velocity-time (or speed-time) graph if it moves in a straight line. The line's gradient is equal to the object's acceleration.

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Brewster's angle

When unpolarized light is incident at Brewster's angle on a smooth glass surface, the reflected light is totally polarized while the refracted light is partially polarized

Polarization:

Polarization is a assets making use of to transverse waves that specifies the geometrical orientation of the oscillations. In a transverse wave, the route of the oscillation is perpendicular to the direction of motion of the wave.In contrast, for longitudinal waves, such as sound waves in liquids or gases, the particles are always displaced in the direction of propagation during oscillation, so these waves have no polarization. Transverse waves that indicate polarization include electromagnetic waves such as light and radio waves, gravitational waves, and sound waves in solids (transverse waves).

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The pressure exerted on the mirror by the light emitted from the 200-w incandescent light bulb is negligible. This is because the pressure exerted by light is proportional to the intensity of the light .

and the intensity of the light drops off as the square of the distance. At a distance of 5.0 m, the intensity of the light is extremely low, and thus the pressure is practically zero.

Step 1: Calculate the intensity of light:

We know that the power of the light bulb is 200 W, so the intensity of light is given by:

I = P/4πd2

Where P is the power of the light and d is the distance from the light to the mirror.

In this case, we have:

I = 200 W / 4π(5.0 m)2

I = 0.0025 W/m2

Step 2: Calculate the pressure exerted by the light on the mirror:

We know that the pressure exerted by the light on the mirror is given by:

P = I/c

Where I is the intensity of the light and c is the speed of light.

In this case, we have:

P = 0.0025 W/m2/3.00 x 108 m/s

P = 8.3 x 10-10 N/m2

Therefore, the pressure exerted by the light emitted from the 200-w incandescent light bulb  on a mirror at a distance of 5.0 m is 8.3 x 10-10 N/m2.

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A muon takes to decay in the observer's rest frame is 3.08 μs.

A muon is an unstable subatomic particle that decays into other particles with a mean lifetime of 2.20 μs. This is in the muon reference frame.

The formula for the relativistic factor

[tex]\gamma \:=\: \frac{1}{\sqrt{1 \:-\: (\frac{v}{c})^2}}[/tex]

[tex]\gamma \:=\: \frac{1}{\sqrt{1 \:-\: (\frac{0.7c}{c})^2}}[/tex]

[tex]\gamma \:=\: \frac{1}{\sqrt{1 \:-\: 0.7^2}}[/tex]

[tex]\gamma \:=\: \frac{1}{\sqrt{1 \:-\: 0.49}}[/tex]

[tex]\gamma \:=\: \frac{1}{\sqrt{0.51}}[/tex]

[tex]\gamma \:=\: \frac{1}{\sqrt{1 \:-\: 0.7^2}}[/tex]

[tex]\gamma \:=\: \frac{1}{0.714}[/tex]

γ = 1.4

Relativistic time interval formula

t = γ t₀

t = 1.4 × 2.2

t = 3.08 μs

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The final temperature of the water is equal to 24.77 °C.

The specific heat capacity can be explained as the amount of heat needed to increase the temperature of one unit of material by one degree Celsius. The specific heat capacity depends upon the nature of the material.

The mathematical equation is used to calculate the specific heat is equal to:

Q = mCΔT

Given, the mass of the water, m = 1 Kg

The initial temperature of the water, T₁ = 20°C

The specific heat capacity of water, C =  4186 J/(kg °C)

The heat added to the cup, Q = 20,000 J

The final temperature of the water can be determined as:

20000 = 4186 × 1 × (T₂ - 20)

T₂ - 20 = 4.77

T₂  = 24.77 °C

Therefore, the final temperature of the water is 24.77 °C.

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The magnetic field was a phenomenon that the Galileo orbiter noticed when it sailed near Europa.

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The camera should be focused for 6.2 m.

In addition, we already know that the main use of plane mirrors is to observe an object's reflection. Periscopes and kaleidoscopes, vehicles, shaving mirrors, dental mirrors, torch lights, solar cookers, and security-related uses are just a few of the many functions and applications of a plane mirror.

As we're standing 3.1 m away from the mirror so our image is also formed 3.1 away from the mirror as the mirrors used for this purpose are plane mirrors. So the camera should be focused for twice the distance at which we're standing from the mirror i.e 3.1 * 2 = 6.2 m

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Nancy is hard at work on a scarf. She spends twenty seconds on every inch of the scarf she knits. Her desired scarf length is sixty inches. Given, It takes 0.2 of an hour to knit a single inch of the scarf. Here, 0.2 of an hour refers to 12 minutes. Therefore, It takes 12 minutes to knit an inch of a scarf.

Since Nancy takes 12 mins to knit an inch of a scarf, then for 60 inches, it would be,

1 inch -> 12 minutes

60 inches -> 12 * 60 minutes = 720 mins to knit 60 inches of a scarf.

Now, convert the minutes into hours,

720 mins -> 720 / 60 = 12 hours.

Therefore, it takes 12 hours to knit 60 inches of a scarf.

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The refraction of the sound waves caused the echo to occur.

Walls and other solid objects, such as mountains and privacy fences, reflect acoustic waves. A break in the propagation medium can be used to explain why reflection occurs. When the reflection returns with enough magnitude and lag to be audible, this can be heard. Reverberation is the term used to describe an echo that has received several reflections from different surfaces.

If the delay is smaller than 1/10 of a second, the human ear cannot tell the difference between the echo and the original direct sound.

At a temperature of 25 °C, the sound speed in dry air is roughly 343 m/s.

As a result, for an echo to be audible to someone standing near the sound source, the reflecting object needs to be farther away than 17.2 meters. When two seconds pass between a sound and an echo, the reflecting item is 343 meters away. The most frequent natural locations for hearing echoes in nature are canyon walls or rock cliffs that face water. In comparison to the directly transmitted wave, the sound pressure level (SPL) of the echo is often measured in decibels (dB). Echoes may be advantageous (like sonar) or detrimental (as in telephone systems).

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Answer:

outer layer

Explanation:

a) The block is acted on by the force of gravity directed downward and the normal force due to the inclined plane directed perpendicular to the inclined surface.

(b) The block's acceleration as it slides down the inclined plane is 5.6 m/s².

(c) The block's speed when it reaches the bottom of the incline is 9.7 m/s.

(d) The block to reach the bottom of the inclined plane is 1.7 s.

In physics, gravity is an essential interaction that reasons mutual enchantment among all things with mass or energy. Gravity is, by a long way, the weakest of the 4 fundamental interactions, approximately 1038 times weaker than the sturdy interplay, 1036 times weaker than the electromagnetic pressure, and 1029 times weaker than the vulnerable interplay. As a result, it has no giant effect on the extent of subatomic debris. but, gravity is the maximum extensive interplay among items on the macroscopic scale, and it determines the movement of planets, stars, galaxies, and even mild.

Gravity additionally has many critical organic capabilities, supporting manual the growth of plants through the technique of gravitropism and influencing the circulation of fluids in multicellular organisms. research into the results of weightlessness has proven that gravity might also play a function in immune machine characteristics and cell differentiation in the human frame.

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a)how far the tree was found to be 0.9605 m

b) the height of the tree was found to be 0.14m

What exactly is object distance?

Object Distance, denoted by s, is the distance between an object and an optical element.

What are the qualities of a mirror image?

• The image obtained is fictitious.

•The picture is flipped laterally.

• The picture is upright.

• The picture has the same dimensions as the thing.

• The distance between the image acquired from the mirror and the item gained from the mirror is the same.

As a result, the distance between the tree and the mirror is the same as the distance between the picture and the mirror, i.e. 0.9605 m, and the height of the tree is the same as the height of the image, which is 0.14 m.

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a)how far the tree was found to be 0.9605 m

b) the height of the tree was found to be 0.14m

What exactly is object distance?

Object Distance, denoted by s, is the distance between an object and an optical element.

What are the qualities of a mirror image?

• The image obtained is fictitious.

•The picture is flipped laterally.

• The picture is upright.

• The picture has the same dimensions as the thing.• The distance between the image acquired from the mirror and the item gained from the mirror is the same?

As a result, the distance between the tree and the mirror is the same as the distance between the picture and the mirror, i.e. 0.9605 m, and the height of the tree is the same as the height of the image, which is 0.14 m.

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An earthquake's energy output when it has a magnitude of 2.7 is 4.5 × [tex]10^{12}[/tex].

The magnitude of an earthquake is the most common indicator of its size. It serves as a barometer for the size of an earthquake's single source. Because it is the same no matter where and how you see it, the following calculation may be done:

magnitude, M = 2 ÷ 3 log(E ÷ [tex]E_{0}[/tex])

Where E is the power generated in Joules and M is the lowest magnitude emitted by such an earthquake, [tex]E_{0} = 10^{4.4}[/tex].

Assuming 5.5, the same magnitude is provided when the preceding equation is used:

M = 2 ÷ 3 log(E ÷ [tex]E_{0}[/tex])

5.5 = 2 ÷ 3 log(E ÷ [tex]E_{0}[/tex])

8.25 = [tex]log(\frac{E}{10^{4.4}})[/tex]

[tex]10^{8.25}[/tex] = [tex]\frac{E}{10^{4.4}}[/tex]

E = [tex]10^{4.4}[/tex] × [tex]10^{8.25}[/tex]

E = 4.5 × [tex]10^{12}[/tex]

Therefore the final answer is 4.5 × [tex]10^{12}[/tex].

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Answer:

true

Explanation:

basic sports knowlegde

The energy associated with motion is called kinetic energy.

Your body doesn't just have energy when you're in motion. When an object is in motion it has a finite amount of kinetic energy. However, when not in motion, the body can store energy in the form of potential energy.

The body can also have a certain internal energy. This can be explained as follows. Energy is basically the ability of any body to do work. Suppose you are sitting ideally in your room and suddenly you realize that someone has changed the position of your study desk and you want to change it. So I pushed the table and moved it to where it suited me. This means that we have applied a finite force that causes displacement, i.e. we have done some work. So you had the ability to work properly. This means that you had energy in the form of internal energy.

[tex]mgh+\frac{mV^2}{2}=Energy \\\\m[gh+V^2/2]=E[/tex]

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The average atomic mass of element X is numerically equal to 85.48 amu.

Given , Percentage of isotope 1 = 72%

            Percentage of isotope 2 = 28%

            Mass of isotope 1 = 84.9 amu

            Mass of isotope 2 = 87 amu

i.e.

Average atomic mass = (0.72 * 84.9) + (0.28 * 87) = 85.48 amu

So the average atomic mass of element X is numerically equal to 85.48 amu.

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If the path is frictionless than doubling the mass of the crate and keeping the initial velocity and changed will not change the distance of stopping of the crate.

The stopping distance of anybody sliding on a frictionless path is given by the relation,

D = U²/2a

Where,

D is the stopping distance,

U is the initial velocity and,

a is the acceleration of the body.

As we can see from the above relation that the mass of the body does not alters the stopping distance of the body.

So, here we can conclude that if if mass of the crate is doubled but the initial velocity is not changed, then the distance of stopping of the create will not change.

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