A hydroelectric power station (dam) turns energy
from
into
A. Gravitational; Electrical
B. Kinetic; electrical
C. Kinetic; gravitational
O D. Gravitational; Kinetic

Answers

Answer 1

A hydroelectric power station turns energy from kinetic into electrical.

What's the function of turbine connected in hydroelectric power station?Turbine is device that is connected in the path of water flow in the hydroelectric power station.So that it is rotated by the current of high speed water in a magnetic field.Due to this rotation, we get current by Faraday's method.Here the rotation of the turbine leads to the kinetic energy that is being converted to electrical energy.

Thus, we can conclude that hydroelectric power station turns energy from kinetic into electrical.

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Related Questions

I need help with the question above in the image.

Answers

Answer:

12.6 s

Explanation:

y =  1/2 at^2

780.1 =  1/2 ( 9.81) t^2           answer can only have 3 s.d. due to the 9.81

t = 12.6 s

The table lists the weights of a 80 kg person on different planets. list these planets in decreasing order of mass.

Answers

The order of planets according to their decreasing mass is:

Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus:  8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilograms

What determines the weight of an object?

The weight of an object is determined by the mass and the acceleration due to gravity, g.

The greater the value of g, the more the weight of the body and vice versa.

Weight = mass * acceleration due to gravity

Also, the more massive a planet or star is, the stronger the gravitational force it exerts. However, an increase in the radius of the planet results in a smaller gravitational force.

Thus, the order of planets according to their mass is:

Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus:  8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilograms

In conclusion, the greater the mass of a planet, thee higher the weight of objects on its surface.

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A metal ball of mass 2kg moving with speed of 10 m/s undergoes a head collision with Stationary ball of mass 3 kg. If arfter collision, both the balls move together What is the loss in kinetic energy due to collision. ​

Answers

Answer:

Loss in kinetic energy  = 60 J

Explanation:

We have to first calculate the final velocity of the objects to find the final kinetic energy.

• Using the law of conservation of momentum:

[tex]m_1 u_1 + m_2 u_2 =m_1 v_1 + m_2 v_2\\\\[/tex]

⇒ 2 × 10 + 0 = (2 + 3)v

⇒ v =  [tex]\frac{20}{5}[/tex]

v = 4 m/s

Initial kinetic energy = [tex]\frac{1}{2}[/tex]  × 2 × (10)²

                                    = 100 J

• Final kinetic energy =  [tex]\frac{1}{2}[/tex]  × (2 + 3) × (4)²

                                   = 40 J

∴ Loss in kinetic energy = 100 - 40

                                        = 60 J

What is the colour of third band of a coded resistor having resistance equal equal to 2.3*10`2

Answers

Color of third band of a coded resistor is Brown.

What is Resistance:

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, omega (Ω)

The color code specify the resistance value, the tolerance, and sometimes the reliability or failure rate.

How to identify resistor's color codes:

Look at the resistor so the group of 3 or 4 color bands are on the left sideRead the color bands from left to right.Read the color on the last color band, which is farthest right.compare the colors to the resistance code table

Here,

the value of resistance is 2.3x10^2 Ω

R = 23x10^1 Ω

here power of 10 is 1

so, the color of third band of a color coded resistor will be related to number 1

Hence,

color of third band of a coded resistor is Brown.

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You ran to a mountain that is 2km high in 30 min. (a) If your mass is 80 kg, find out what potential energy you will have when you reach to the peak of the mountain. (b) How much work is done by you

Answers

(a) mass = 80kg

height h= 2km

the potential energy at the peak of the mountain= mgh=80*9.8*2000=1568000J

therefore the potential energy at the peak of the mountain is 1568000J

(b) Work done in reaching the peak will be equal to the change in potential energy = 1568000)

therefore the work done is 1568000J

(c) Power is given by

P=W/t=1568000/(30*60)=871.11W

therefore the Power is 871.11W

The work done by force can be defined as the product of the displacement of an object and the component of the applied force acting in the direction of the displacement of the object.

Potential energy is stored energy that depends on the relative position of different parts of the system. Springs have more potential energy when compressed or stretched. Steel balls have more potential energy to be lifted across the ground than after they have fallen to Earth.

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What happens if you move a bar magnet back and forth along the axis of the
coiled wire shown below?

Answers

C) A current is induced in the coiled wire, which lights the light bulb

The moving magnetic field creates electricity which lights the light bulb

Hope it helps!

Answer:

C) A current is induced in the coiled wire, which lights the light bulb

Explanation:

What is the distance traveled by an object that moves with an average velocity of 8.0 m/s for a total of 4.0 seconds

Answers

if V=8.0secs ,T=4.0secs D=s×t 8.0×4.0=32m


The Sun is a star that is in a stable state called the main sequence.
Describe the evidence that suggests some stars are moving away from Earth.

Answers

Astronomers believe some stars are moving away from earth by measuring the extent to which their light is “stretched” into the red part of the color spectrum, representing the lower frequencies on that spectrum.

In short, stars moving away from earth are “red-shift”, while if they were moving towards the earth they would take on a “blue-shift”.

A spring is 4 cm long. A student hangs a weight of 2N. It is now 5.5 cm long.
(i) What is the extension?
(i) What would be the extension with a weight of 6N?
(ili) What would be the length of the spring with a weight of 8N?

Answers

(i)1.5cm
(ii)4.5cm
(iii)10cm

A boy is pushing a 60 KG box along the floor by applying a horizontal force of 115 and the box is accelerating at a rate of 0.5 m/s^2 what is the coefficient of kinetic friction between the box and the floor

Answers

The coefficient of kinetic friction between the box and the floor will be 3.83.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

it is defined as the product of the coefficient of friction and normal reaction.

Given data;

m is the mass of a boy = 60 kg

Horizontal force,f = 115 N

The coefficient of kinetic friction between the box and the floor,μ

Acceleration,a = 0.5 m/s²

The friction force is found as;

f = μN

The normal force is found as;

N =ma

f=μma

115 N = μ × 60 kg × 0.5 m/s²

μ = 3.83

Hence, the coefficient of kinetic friction between the box and the floor will be 3.83.

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A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops. What distance does the train travel while slowing down?

Answers

A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops the distance does the train travel while slowing down are 4430.75 m.

What is distance?

Distance measures length. For example, the gap of a street is how lengthy the street is. In the metric gadget of size, the maximum not unusualplace devices of distance are millimeters, centimeters, meters, and kilometers.

It takes 24/.065 = 369.23 sec to slow down to zero.In that point it travels s = half of at^2 = half of (.065)(369.23^2) = 4430.75m.

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A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. What is the magnitude and direction of the student's total displacement

Answers

Answer: A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. Then the magnitude and direction of the student's total displacement will be 87.32 m along the direction of AD or in east-south direction.

Explanation: To find the correct answer, we need to know about the Displacement of a body in motion.

What is displacement of a body in motion?The displacement is the shortest distance between initial and final positions of a body.It's a vector quantity, and can positive, negative, or zero.The magnitude of displacement is less than or equal to the distance travelled.How to solve the problem?At first, we can draw a diagram showing the motion of the body.From the diagram, the displacement of the body will be equal to the distance between point A and D.To solve this, we can use Pythagoras theorem.

[tex]AD=AC+CD\\AC^{2} =50^{2} +11^2\\AC=51.19 m\\Similarly,\\CD^2=35^2+9^2\\CD=36.13 m\\thus, \\AD=51.19+36.13=87.32 m[/tex]

Thus, from the above calculations, we can conclude that, the displacement of the body will be equal to 87.32 m along the direction of AD or in east-south direction.

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If the Earth were twice as far away from the Sun, the force of gravity attracting Earth to the Sun would be

Answers

Answer:

1/4

Explanation:

Fgravity is proprtional to  1 / r^2

   now double r   to 2r

        1 / (2r)^2   = 1/4 * 1/r^2   <======this shows the  force to be reduced to 1/4  of original  when the distance is doubled

Which two theories disagree when it comes to describing the singularity thought to be at the center of a black hole

Answers

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

What is the singularity of a black hole?

It is the center of the black hole, a place of infinite density where the known laws of physics cannot describe the conditions.It is  place from which the escape velocity exceeds the speed of light.

According to  Einsteinʹ s general theory of relativity:

Theory of relativity holds that what we perceive as the force of gravity arises from the curvature of space and time. The scientist proposed that objects such as the sun and the Earth change this geometry

from this we can say that,

It doesn't agree the concept of  describing the singularity thought to be at the center of a black hole

Hence,

when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.

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A spiral spring has a length of 14 cm when a force of 4 N is hung on it. A force of 6 N extends
the spring by 4 cm. Calculate the unstretched length of the spring.

Answers

Answer:

bussy

Explanation:

shart

An electric furnace that draws 40 amps with an applied voltage of 240 V will consume ________ watts.

Answers

The electric furnace will consume 9600 watt of power.

To find the answer, we need to know about the electric power.

What's the electric power?Electric power is defined as the product of voltage and current.Mathematically, power= V×IIts si unit is watt.What will be the power consumed by an electric furnace that draws 40A with an applied voltage of 240V?

The power = 240×40 = 9600 watt

Thus, we can conclude that the power consumption of the electric furnace is 9600 watt.

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From laboratory measurements, we know that a particular spectral line formed by hydrogen appears at a wavelength of 500 nanometers (nm). The spectrum of a particular star shows the same hydrogen line appearing at a wavelength of 480 nm (a shorter wavelength). What can we conclude

Answers

The star is moving toward the earth.

It is due to the phenomenon of the Doppler shift.

The Doppler effect, commonly referred to as "Doppler shift," is the change in the wavelength or frequency of waves as a result of an observer's motion in relation to the wave source.

It is possible to see this apparent wavelength change in the visible light emitted by stars and galaxies.

As a result, a star moving toward Earth appears to emit light with a shorter wavelength than a light source that is stationary. It is known as blueshift because shorter wavelengths cause the spectrum to shift toward the blue end.

While a star traveling away from us appears to shift its light towards longer wavelengths. Astronomers refer to this as redshift since it is closer to the red end of the spectrum.

As the spectrum of a particular star shows the hydrogen line appearing at a shorter wavelength of 480 nm in comparison to the laboratory measurements, that show the same hydrogen lines at a greater wavelength of 500 nanometers, that’s why we conclude that the star is moving toward earth.

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A boy and a girl are riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

Answers

The boy near the outer edge has the greater centripetal acceleration.

As the merry- go- round is turning at a constant rate, it means it has constant angular velocity.

The rate at which a particle or an object rotates around a specific point or center within a given period of time is known as its angular velocity.

In terms of angular velocity,

Centripetal acceleration [tex]a_{C} = rw^{2}[/tex]

where, r is the radius of the circle

and w is the angular velocity

At the constant angular velocity

Centripetal acceleration is directly proportional to the radius of the circle.   [tex]a_{C}[/tex] [tex]\alpha[/tex] [tex]r[/tex]

It means as the radius of the circle increases, centripetal acceleration also increases and vice versa.

As the boy near the outer edge has a larger radius in comparison to the girl towards the center.

That’s why when a boy and a girl are riding a merry-go-round which is turning at a constant rate, the boy who is near the outer edge will have the greater centripetal acceleration.

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A sphere of radius 6cm is moulded into a thin cylindrical wire of length 32cm. Calculate the radius of the
wire in SI Units

Answers

Answer:

4/3 pi R^3 = pi r^2 L     equating volume of sphere and wire

r = (4 R^3 / 3 * L)^1/2      solving for radius of wire

r = (4 * 6^3 / 3 * 32)^1/2

r = 9^1/2 cm = 3 cm = .03 meters

Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.08 nC, and the other has a charge of 4.02 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other

Answers

The magnitude (in N) of the electric force that one particle exerts on the other is A. F=107.6nN.

F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)

F=(282.4×10^-9)/2.6244

F=107.6×10^-9N

F=107.6nN

Experiments with electric charges have shown that two charged objects exert electrical forces on each other. The magnitude of the force is linearly proportional to the net charge of each object and inversely proportional to the square of the distance between the objects.

Coulomb's law for calculating electrostatic forces. This force arises from the interaction between two charged objects (or point charges), the magnitude of which is calculated by F = kQ1Q2r2 F = k Q 1 Q 2 r2.

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Suppose an acorn with a mass of 3.17 g falls off a tree. At a particular moment during the fall, the acorn has a kinetic energy of 0.119 J and a potential energy of 0.347 J with respect to the ground. How does the acorn's potential and kinetic energy change as it falls

Answers

Potential and kinetic energy both decrease with the acorn's falling potential and kinetic energy.

The acorn's potential energy is at its peak when it reaches the top of the tree, yet its kinetic energy is zero (i.e., it is not accelerating).

The height of the ball reduces along with the potential energy as the acorn tumbles down the tree, but the kinetic energy rises (energy due to motion)

The height will be 0 and the kinetic and potential energy will be zero at the ground. This demonstrates that as an item falls, both potential and kinetic energy are lost.

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Pls help. This is about heat. I got the answer, just need the working

Answers

Answer:

See below

Explanation:

You have to heat the calorimeter to 100 C  from 20 C

  this will take   .20 kg *    390 j /kg-C   *  80 C = 6240 j

You have to heat the mass of water to boiling point (100 C ) from 20C

this will take    

    .50 kg * 4182 j/kg-C  * 80 = 167,280 j

AND you have to add enough heat to boil off  .03 kg of water:

   .03 kg * (2260000 j/kg-C )  = 67,800 j

Power = joules / sec =  (6240 + 167280 + 67800) / 274.8 = 878 watts

Your answer may differ just a bit for slightly different or rounded values of specific heat or heat of fusion for water .....


The oceanic Nazca plate is being subducted beneath the continental South American plate. Which type of plate boundary is this?
eanic convergent

Answers

Answer:

ocean-continent convergent boundaries

Examples of ocean-continent convergent boundaries are subduction of the Nazca Plate under South America (which has created the Andes Range) and subduction of the Juan de Fuca Plate under North America (creating the mountains Garibaldi, Baker, St.

A long wire carries a current toward the north in a magnetic field that is directed vertically downward perpendicular to the surface of Earth. What is the direction of the magnetic force on the wire

Answers

The direction of the magnetic force on the wire is west.

The magnetic force acting on the moving protons acts northward in the horizontal plane. If the thumb is up (current flows vertically up), the wrapped finger will be counterclockwise.

Therefore, the direction of the magnetic field is counterclockwise. Here, the magnetic field is pointing upwards (vertical magnetic field) and the electrons are moving east. Applying Fleming's left-hand rule here, we can see that the direction of force is along the south direction.

As the change in magnetic flux increases upwards, Lenz's law indicates that the induced magnetic field of the induced current must resist and the inside of the loop must be directed downwards. Using the right-hand rule, we can see that a clockwise current is induced.

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The direction of the magnetic force on the wire is vertically downward.

We will locate the magnetic area this is as a result of transferring charges and the usage of a second right-hand rule.

The magnetic area is made by using a modern immediate wire that curls across the cord in a ring. You can discover it via pointing your right thumb in the path of the cutting-edge inside the wire and curling your fingers.

Right-hand thumb rule: in line with this rule, if we believe the linear cord conductor to be held in the grip of the right hand so that the thumb factors inside the path of the contemporary, then the curvature of the palms across the conductor will represent the route of magnetic discipline traces.

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12. A rear-end collision involved a 40-year-old vehicle. The driver and front-seat passenger both sustained serious neck injuries. Which modern energy-absorbing device protects against such injuries

Answers

Head restraints are energy-absorbing device that protects against such injuries.

Head restraints are a car protection characteristic, connected or included into the pinnacle of each seat to restrict the rearward motion of the grownup occupant's head, relative to the torso, in a collision to save you or mitigate whiplash or damage to the cervical vertebrae.

Powerful head restraints are designed to reduce the rearward motion of the head in a rear-end crash and reduce the probability of occupants maintaining whiplash neck injuries. Head restraints are generally known as head rests.

Make certain the top of the top restraint is at least a degree from the pinnacle of your head. The role is the pinnacle restraint so it's as near the again of your head as possible. You may need to alter the again of seat.

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What mirror setting leaves large areas that cannot be seen in the mirrors on both sides of the vehicles

Answers

Convex mirror is used on both sides of the vehicle to see large areas.

To find the answer, we need to know about convex mirror.

What is convex mirror?

Convex mirror is a spherical mirror. Its reflecting surface bluges towards the light source. It's also called diverging mirror as it diverges the light rays fall on it.How can we see large areas with convex mirror?As convex mirror is a diverging mirror, so it reduces the size of an object in front of it. Thus, it provides more space in the mirror to capture a larger amount of rays coming from wider angles from bigger objects.

Thus, we can conclude that the convex mirror is used on both sides of the mirror to view large areas.

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Why do we use atomic models?

Answers

Models help us to understand systems and their properties

Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must Choose one: A. spin at the same rate. B. spin faster. C. come to a complete stop. D. spin slower.

Answers

Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must spin faster.

Conservation of angular momentum is a physical characteristic of a rotational system that keeps its rotation constant unless it is affected by an external torque. In other words, the speed is constant as long as the net torque is zero.

In angular kinematics, conservation of angular momentum refers to the tendency of the system to preserve angular momentum in the absence of external torque. If the objects collide without net external torque, the angular momentum is constant. The two objects exert equal but opposite angular momentums to maintain the full angular momentum of the colliding system.

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The photosynthetic electron transport causes the accumulation of protons in which part of the chloroplast?.

Answers

During photosynthetic electron transport, protons accumulate at high concentration inside the thylakoid space.

Photosynthesis:

Plants and other living things employ a process called photosynthesis to transform light energy into chemical energy that can then be released through cellular respiration to power the organism's activities.

The word "photosynthesis" comes from the Greek words "light" and "putting together," and refers to the process of creating molecules of carbohydrates from carbon dioxide and water. These molecules, such as sugars and starches, are then stored with some of this chemical energy.  Photoautotrophs are creatures that perform photosynthesis, including most plants, algae, and cyanobacteria. The majority of the energy required for life on Earth is produced and maintained by photosynthesis, which is also substantially responsible for producing and maintaining the oxygen content of the atmosphere.

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A 1,160 kg satellite orbits earth with a tangential speed of 7,446 m/s. if the satellite experiences a centripetal force of 8,955 n, what is the height of the satellite above the surface of earth? recall that earth’s radius is 6.38 × 106 m and earth’s mass is 5.97 × 1024 kg. 3.71 × 1028 m 8.02 × 105 m 7.20 × 105 m 9.67 × 1028 m

Answers

The satellite is 8.02 × 10⁵ m above Earth's surface.

Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert

Procedure to solve:

F = mv²/R+H

H = mv²/F - R

H = (1160 × 7446²/8955 - 6.38 × 10⁶)

M = 8.02 × 10⁵ m

About centripetal force:

The force applied to an item that is in velocity of  curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.

The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:

F = mv²/r

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Answer:

8.02x 10^5 m

Explanation:

quiz

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Read the short speech.The author includes an allusion to allow readers toPatriotism is often taught through school routines. YoungAmericans may stand to say, 1 pledge allegiance to theO recall a familiar text.flag." They may attend special assemblies or programsO consider famous veterans.honoring veterans. Career studies may includeO think of armed service professions.descriptions of armed service professions. Even theO remember the fifty states and their capitals.study of geography is an exercise in patriotism, asstudents learn the names of states and capitals. what roles can human beings play to balance nature Which of the following landforms are labeled incorrectly? Number 1 the Pontic Mountains Number 2 the Taurus Mountains Number 3 the Anatolian Plateau Number 4 the Negev DesertA. number 1 onlyB. number 4 onlyC. numbers 2 and 3 onlyD. all are labeled incorrectly the mean value of land and buildings per acre from a sample of farms is $1400 with a standard deviation of $300 the data set has a bell shaped distribution assume the number of farms in the sample is 72 use empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1700 Assume a cash flow of $82,400 in the first year and $148,600 in the second year. Also assume a present value of $303,764.34 at a discount rate of 12.75 percent. What is the cash flow in the third year if that is the only other cash flow which sentence describes the medium of a storyA. the fight between good and evil plays a role in the events of the plot.B. by intentionally misspelling words, the writer tries to distract readers.C. in the climax, the detective learns that she was after the wrong person.D. the author often compares the sound of the cello to a human voice. If large numbers of individuals choose to behave as free riders, more of the public good will be available for paying riders. the public good may never be provided. public goods will quickly be privatized. public domain technologies become more difficult to obtain. If the r-value, or correlation coefficient, of a data set is negative , the coefficient of determination is negativetrue or false How do you represent a table with linear functions Given that the triangles shown below are similar, what is the value of x?A. 5B. 1.8OC. 10D. 15M312515AS31L3 ED how to write a 5bit register if a series is moved to the shift register from left to right A and b are monomials where a = 125 and b = 27p12. what is the factored form of a b? (5 3p4)(25 15p4 9p8) (25 3p4)(5 15p3 9p3) (25 3p4)(5 15p4 3p8) (5 3p4)(25 15p3 3p4) Friedman et al. (1993) analyzed data from the longitudinal Terman Life-Cycle Study and found that those rated the highest in cheerfulness ____ than others. Why is it important to know the timeframe when working towards your savings goals? A ______ of two linear _______ can have one solution, an infinite number of solutions, or no solution. The families learned what rights must be observed. The right of privacy in the tent.The right to keep the past hidden in the heart. The right to talk and to listen. And as the worlds moved westward, rules became laws, although no one told the families. It is unlawful to foul the drinking water .It is unlawful to eat good rich food near one who is hungry. What type of context is described in this passage? Which value is in the domain of f(x)?f(x) = StartLayout Enlarged left-brace 1st row 1st column 2 x + 5, 2nd column negative 6 less-than x less-than-or-equal-to 0 2nd row 1st column negative 2 x + 3, 2nd column 0 less-than x less-than-or-equal to 4 The up series documentary films follow the lives of ten males and four females in England beginning in 1964, when they were seven years old. The first film was titled seven Up! with later films adjusting the number in the title match the age or subjects at the time of filming. 56 UP is available on kanopy. Which equation is represented by the model? 3x2 4x 1 = (3x 1)(x 1) 3x2 2x 1 = (3x 1)(x 1) 3x2 4x 1 = (3x 1)(x 1) 3x2 2x 1 = (3x 1)(x 1) The length of a rectangle was reduced by 10%and the width by x%. If the resultingdimensions reduced the area by 32.5%,what is the value of x?