Sketch the vectors v1, v2, v3, v4 with tail p and head q, and com- pute their lengths. are any two of these vectors equivalent?

The Patagonia region of Chile and Argentina features a large, elongated glacier approximately 90 km (56 mi) wide and 360 km (224 mi) long. this is an example of a(n): Ice field

The Patagonia region of Chile and Argentina is characterized by the largest ice fields in South America.

An ice field is a large mass of ice that covers part of the land.

The Patagonia is an area located in South America which is shared by Chile and Argentina.

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Answer: most likely its going to be 5

Explanation:

because you have to keep it the same

A steel cable is moving an elevator up an elevator shaft at a consistent speed. The consequences of friction are all insignificant. In this case, the forces acting on the elevator are such that the cable's upward force is equal to the force of gravity pulling downward.

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Answer:

The stopping distance is 62.5m for a car traveling at vxvxv_x = 25 m/sm/s and the driver applies the brakes and the car decelerates at axaxa_x = -5.0 m/s2m/s2.

Explanation:

Acceleration occurring in the opposite direction of an object’s the motion, is negative or referred to as deceleration. The formula below (stopping distance) solely compares the magnitudes of distance travelled, beginning velocity, and deceleration.

We use the fourth equation of motion, v2 = u2 +2ax. When the car stops, we have v = 0, and so

0 = u2 +2ax.

Solving for x, we have

x =−u2/2a

Given the following information from the question

U= 25 ms-1

-a = 5.0 ms-2

x = -(25)2 / 2* 5

x =625/10

x = 62.5 m

Hence the car travels 62.5m as the brake is applied to come to a halt.

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Disclaimer:

Rugby is known as the football in the United States of America

Soccer is known as football in United Kingdom and rest of the world.

The question is also incomplete as no options have been mentioned

A football field in United States of America is the field of rugby and its measurement in metric system is 91.44 meters in length and 64 meters in width

A soccer field as per the standards set by FIFA is 108 meters in length and 68 meters in width

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When an object falls through the air, its velocity increases and its acceleration decreases.

A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply said, velocity is the rate of movement in a single direction. Velocity may be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway.

As you might have anticipated, the velocity vector's scalar (absolute value) magnitude corresponds to the motion's speed. The first derivative of position with respect to time is known as velocity in calculus. There is a straightforward formula that combines rate, distance, and time to calculate velocity.

The following method is the most typical approach to get the constant velocity of an item traveling straight ahead:

r = d / t

The rate or speed is r. (sometimes denoted as v for velocity)

d is the traveled distance.

t is the amount of time needed to finish the movement

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Chemicals cannot be used to divide atoms. Even though they are made up of protons, neutrons, and electrons, an atom is the fundamental chemical unit of matter. Atoms can disintegrate as a result of nuclear processes like a fission and radioactive decay.

A negative electrical charge accompanies every electron. There is a positive electrical charge on each proton. A proton's charge and an electron's charge have the same magnitude but different signs. Protons and electrons are drawn to one another by electrical forces. Protons and protons, as well as electrons and electrons, repel one another.

Electrical neutrality applies to each neutron. In other words, neutrons don't have a charge and aren't drawn to protons or electrons electrically.

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The following question can be solved using formulas of Motion on one dimension as there is no updrift or downdrift

We will use the formula

[tex]v^{2}-u^2=2aS[/tex]

where v is the final velocity

u is the initial velocity

a is the acceleration of the boat

s is the distance in meters

u=0 as the initially the boat is at rest

S=12meter

acceleration is 5 m/s^2

[tex]v^{2}=[/tex]2 x 5 x 12

v^2=120

therefore final velocity is [tex]\sqrt{120}[/tex]=10.95m/s

Now using the formula v=u+at

v=[tex]\sqrt{120}[/tex]

[tex]\sqrt{120}[/tex]=0+5 x t

t= [tex]\sqrt{ 120[/tex]/5

t = 2.20 seconds

t is the time taken

Hence the boat takes 2.20seconds

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Think about a point item (or particle) that is moving horizontally while being affected by a net force that is not zero. The object's acceleration is inversely proportional to its mass and to the strength of the applied force.

Known data:

The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living things in the concept of a force.

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The correct answer for  the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, y = 4x is 128/3 * π.

Volume of Solid of Revolution by Shell method is given by

V = 2π * integrate x(height) dx Here, height = 4x-x2

(1)& x-varies from x = 0 to x = 4 then from eqn(1)  V = 2π * integrate x(4x - x ^ 2) dx from x = 0 to 4 = 2π * integrate (4x ^ 2 - x ^ 3) dx from x = 0 to 4

Basic Rule(1) ∫ x^n dx =x^ n+1/ n+1

V=2 π [4((x ^ 3)/3) - (x ^ 4)/4] 0 ^ 4 =2 π[ 4/3 x^ 3 - x^ 4/4 ] 0 ^ 4

V = 2π [4/3 * 4 ^ 3 - (4 ^ 4)/4} - 0]

V = 128/3 * π.

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Photons per second, n, would enter an aperture of area a = 5cm2 located a distance d = 4 m from the light bulb, N = 6.4886 *10¹²

A particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to radiation frequency but has a zero rest mass.

A photon is a particle of light defined as a discrete bundle (or quantum) of the electromagnetic (or light) energy. Photons are always in the motion and, in a vacuum (a completely empty space), have a constant speed of light to all observers.

Assumption:

2.5% of electrical energy is converted into the light.

Power = 100W

So, to calculate energy of light per second, we simply multiply 100 to 2.5%

E = 100 * (2.5/100) = 2.5J

To calculate number of photons, we have the formula

N = (2.5 * λ)/h c

Now, using distance of 5m, we find area of the sphere using formula 4λR²

A=4*3.14*4² = 314m²

Now, to determine the number of photons passing through area of 3cm² or 0.0003m²

N = (5*10⁻⁴/314)*[(2.5*λ)/h c ]

Now by putting values we get,

N = (5*10⁻⁴/314)*[(2.5*540*10⁻⁹)/((6.626*10⁻³⁴J.s)(5*10⁸))]

N = 6.4886 *10¹²

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The time does it take until he catches the chicken 4.28 seconds. he traveled 10.3 m/s this time.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

3.5(t+2) = 0.5*2.4t+2, 3.5t + 7

= 1.2t+2, 1.2t+2 - 3.5t + 7 = 0, and d1 = d2

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

t = 4.28s.

d = d1 = d2 = 3.5(4.28+2)

= 22m.

The pace at which an object moves is its speed. The distance traveled divided by the time is the calculation for speed. Distance x time equals speed. The formula for distance can be found by rearranging the formula for speed.

V = Vo + at = 0.04 + 2.4 * 4.28

= 10.3 m/s.

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Parfocal is the term used to describe a microscope that maintains focus when the objective lenses are replaced.

For observing minute features within a specimen sample, a high-powered objective lens, often known as a "high dry" lens, is perfect. You can see a very detailed image of the specimen on your slide thanks to the 400x total magnification that a high-power objective lens and a 10x eyepiece provide.

The four objective lenses on your microscope are for scanning (4x), low (10x), high (40x), and oil immersion (100x).

The first-stage lens used to create a picture from electrons leaving the specimen is referred to as the "objective lens." The objective lens is the most crucial component of the imaging system since the quality of the images is determined by how well it performs (resolution, contrast, etc.,).

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The astronomers have been able to see a 10% of the milky way galaxy's mass

The Milky Way is a large spiral galaxy where the solar system and the Earth are located. It takes its name for the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth. According to astronomers, it has a mass of 10¹² solar masses and, by its shape, it is a barred spiral galaxy.

It is a large area of gas, dust and billions of stars and their solar systems all held together by gravity that makes up a universe.

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By locating the north celestial pole (ncp) in the sky, we can determine the latitude as the altitude of the NCP is the same as your latitude.

A point on the surface of the Earth or another celestial body is given a latitude coordinate, which indicates its north-south location. Latitude is measured as an angle, with 0° at the Equator, and values ranging from -90° at the south pole to 90° at the north pole. A circle that runs parallel to the equator in both directions are lines of constant latitude, or parallels. An Earth surface location can be identified by its latitude and longitude when used as a pair of coordinates.

Typically, the word "latitude" used by itself refers to the geodetic latitude as described below. The angle created between the vector perpendicular (or normal) to the ellipsoidal surface from the point and the geodetic latitude of a point is, in a nutshell, what we refer to as latitude.

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The equation of the normal line is y = - 2x + 3

We know that,

The equation of normal line given of the curve is given by

( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )

Given that,

Equation of curve is y = [tex]\sqrt{x}[/tex]

Equation of the line parallel to the normal line of curve is 2x + y = 1

The slope of normal is same as that of the line parallel to it. So,

2x + y = 1

y = - 2x + 1

On differentiating both sides by x,

dy / dx = - 2

which is the slope of normal line

To find slope of the curve,

y = [tex]\sqrt{x}[/tex]

y = [tex]x^{1/2}[/tex]

dy / dx = 1/2 x

which is the slope of the curve.

Since the curve and its normal line is perpendicular,

[tex]m_{1} m_{2}[/tex] = -1

-2 * 1/2 x = -1

x = 1

At x = 1,

y = [tex]\sqrt{1}[/tex] = 1

The point is ( 1 , 1 )

The equation of normal line given of the curve is

( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )

y - 1 = - 2 ( x - 1 )

y = - 2x + 3

Therefore, The equation of the normal line is y = - 2x + 3

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The final speed of cyclist is 12.27m/s

The following question can be solved using formulas of Motion on one dimension as the motion is in one dimension

We will use the formula

[tex]v^2-u^2=2aS[/tex]

where v is the final velocity

u is the initial velocity

a is the acceleration of the boat

s is the distance in meters

v^2 = 2 x a x S

       = 2 x 46 x a

v^2=92a

v=[tex]\sqrt{92a}[/tex]

where a is the acceleration

Now using the formula v= u+ at

and putting value of v in the equation

[tex]\sqrt{92a}[/tex]=a x7.5

squaring both sides,

92a=56.25a^2

a=92/56.25=1.64 m/s^2

Now we know that v= 7.5 a=7..5 x 1.64 =12.27m/s

Hence her final speed is 12.27m/s

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More solar energy reaches the equatorial regions than the polar regions, because of spherical shape of the Earth, sunlight falls on different parts at different angles. The sun rays falls on the equator directly and focused therefore, the regions are hotter and warmer. The polar regions receive diffused sun rays, so that the areas there are colder.

The type of energy generated by the sun is known as the solar energy. Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun's core and fuse to create a helium atom.

The power of Sun and Stars can be assumed by the process of nuclear fusion reaction. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei. The leftover mass becomes energy.

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The probability of choosing a red marble is 0.2179 or 21.79%.

We need to know about probability to solve this problem. The probability can be described as how possible an event will happen. It can be determined by

P = a / n

where P is the probability, a is the number of events and n is the total events.

From the question above, we know that:

red marbles = 17

blue marbles = 20

yellow marbles = 41

Hence, the total marble is

n = red + blue + yellow

n = 17 + 20 + 41

n = 78

The probability of choosing red marble is

P = a / n

P = 17 / 78

P = 0.2179

Convert to percent

P = 0.2179 x 100%

P = 21.79%

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Assuming that the relationship between spring compression and height is quadratic, 2.25m far will the ball go at the highest setting,  compresses the spring 3 cm

The solid height, h1, of an unground spring is (n+1)d, where n is the number of coils and d is the wire diameter (including platings and coating) in inches. The height, h2, of ground but not squared springs is (n-1)d. The solid height, h3, of ground and squared springs is (n-0.75)d

When a spring is compressed, the potential energy is stored in the mechanical bonds between atoms, which may be thought of as little springs. The spring as a whole cannot decompress until it breaks, but little portions may when they fall off. The majority of the stored energy is used to decompress each little component.

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The depth of oil is 43 m

We know that

P = ρ g h

where,

P = Pressure of fluid

ρ = Density of fluid

g = Acceleration due to gravity

h = Depth of fluid

Given that,

P = 46 psig = 3.2 * [tex]10^{5}[/tex] N / [tex]m^{2}[/tex]

s = 0.75

ρ = 0.75 * 1000 = 750 kg / [tex]m^{3}[/tex]

g = 9.81 m / [tex]s^{2}[/tex]

Here we round the value of g = 10 m / [tex]s^{2}[/tex]

h = P / ρ g

h = ( 3.2 * [tex]10^{5}[/tex] ) / ( 750 * 10 ) = 42.67 m

h = 43 m

Fluid pressure is the measurement of force per unit area that acts on an object in the fluid.

Therefore, the depth of oil is 43 m

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The neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.

The neutrinos produced by the nuclear reactions in the core of the sun is called solar neutrinos. These solar neutrinos are the decay product of nuclear fusion reaction in the sun.

These neutrinos then gets released into space which also reaches earth as light and heat.

Therefore, the neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.      

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Answer:

Recessed incandescent luminaires not marked type ic and those marked for installing directly in insulated ceilings must not have insulation over the top of the luminaire.

Explanation:

Depending on how they interact with insulation, lighting fixtures are rated at various levels. Non-IC rated lighting fixtures can accommodate higher wattage bulbs, but they also pose the greatest fire risk when used with the incorrect insulation.

In locations with insulation, light fixtures that are not IC rated may be installed. But there is a condition. The distance between the fixture and any insulation should be 3 inches. But the 3 inch gap in the insulation would negate the goal of insulation by producing a lot of uninsulated space, so this defies logic. Building a box-style cover to cover the fixture on the attic side is one option to fix this. Drywall or foil-faced foam insulation can be used to create this box. After the cover is put in place, insulation can be added for maximum effectiveness.

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The volume of the bin in ft^3 is determined as 53 ft3

Given,

1m = 100cm ⇒ 1cm = [tex]10^{-2}[/tex]

1in = 2.54 cm = 2.54 x [tex]10^{-2}[/tex] m

1ft = 12in = 12 x 2.54 x [tex]10^{-2}[/tex] = 30.48 x [tex]10^{-2}[/tex] m

⇒ 1m = 1/30.48 x [tex]10^{2}[/tex] ft

Volume = 1.5[tex]m^{3}[/tex]

= 1.5 x [tex](1m)^{3}[/tex]

= 1.5 x (1/30.48 x [tex]10^{2}[/tex] ft)^3

= 52.97ft^3

V= 53 ft^3 (nearly)

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The final speed of an airplane is v = 92.95 m/s

The rate of change of position of an object in any direction is known as speed i.e. in other word, Speed is measured as the ratio of distance to the time in which the distance was covered.

Solution-

Here given,

Acceleration a= 10.8 m/s2 .

Displacement (s)= 400m

Then to find final speed of airplane v=?

Therefore from equation of motion can be written as,

v²=u²+ 2as

where, u is initial speed, v is final speed ,a is acceleration and s is displacement of the airplane. Therefore by putting the value of a & s in above equation and (u =0) i.e. the initial speed of airplane is zero.

v²= 2×10.8 m/s²×400m

v²=8640m/s

v=92.95m/s

hence the final speed of airplane v =92.95m/s

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Answer:

Scissors

Tap

Spanner

Explanation:

The y-component of the vector is 4.97 m.

A vector is a quantity that has both magnitude and direction.

To calculate the y-component of the vector in the diagram above, we use the formula below.

Formula:

From the question,

Given:

Substitute these values into equation 1

Hence, the y-component of the vector is 4.97 m.

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The minimum speed the ball must be served so as to clear the net is 25.69 m / s

We know that,

Speed = Distance / Time

In order to calculate the time, we can use one of the equations of motion,

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

where,

y = Initial height

[tex]y_{0}[/tex] = Final height

[tex]v_{0}[/tex] = Initial velocity

a = Acceleration due to gravity

t = Time

Given that,

y = 2.7 m

[tex]y_{0}[/tex] = 1.08 m

[tex]v_{0}[/tex] = 0

a = -9.81 m / [tex]s^{2}[/tex] (Due to gravity)

Distance = 14.9 m

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

2.7 = 1.08 + 0 + 1/2  * ( -9.81 ) * [tex]t^{2}[/tex]

[tex]t^{2}[/tex] = 1.62 / ( - 4.9 ) = 0.33

t = 0.58 s

Speed = 14.9 / 0.58

Speed = 25.69 m / s

Velocity (speed) is the rate of change of distance with respect to time. It is denoted as V.

Therefore, the minimum speed the ball must be served so as to clear the net is 25.69 m / s

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R1+R2+R3 =1+1+1=3 is used to represent the circuit's overall resistance.

The 3 resistors on the upper side of the circuit are linked in series in this instance, and the total resistance R1 is expressed as 1+1+1=3.

The combined resistance R2 is expressed as 2+2+2=6 due to the series connection of the three 2-ohm resistors on the lower part of the circuit. The intermediate resistances R1, R2, and 2 are linked in parallel. This parallel connection's total resistance, R3, is therefore represented as 2/1+ 2/1+ 6/1 = 1/1=1 ohm.

In other words, the closed loop's resistance is decreased to 1 ohm.

Now, R1+R2+R3 =1+1+1=3 is used to represent the circuit's overall resistance (R).

As a result, the resistance in the circuit from point A to point B is 3.

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