A construction worker is carrying a load of 40 kilograms over his head and is walking at a constant velocity. If he travels a distance of 50 meters, how
much work is being done?

Answers

Answer 1

Answer: 2000

Explanation:

Answer 2

Answer:

0 J

Explanation:

Work is force times distance in the direction of the force (the dot product of the force and distance vectors).

W = F · d

Another way to write it is force times distance times the cosine of the angle between the force and distance vectors:

W = Fd cos θ

The force the worker is applying is vertical (there's no horizontal force because he is moving at constant velocity).  The direction he moves in is horizontal.  The two vectors are perpendicular, so there is no force component in the direction of motion, so there is no work being done.


Related Questions

A satellite with a mass of 5.6 E 5 kg is orbiting the Earth in a circular path. Determine the satellite's velocity if it is orbiting at a distance of 6.8 E 5 m above the Earth's surface. Earth's mass = 5.98 E 24 kg; Earth's radius = 6.357 E 6 m.

6,800 m/s
7,200 m/s
7,500 m/s
7,900 m/s

Answers

Answer:

7500 m/s

Explanation:

Centripetal acceleration = gravity

v² / r = GM / r²

v = √(GM / r)

Given:

G = 6.67×10⁻¹¹ m³/kg/s²

M = 5.98×10²⁴ kg

r = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m

v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.037×10⁶))

v = 7500

The orbital velocity is 7500 m/s.

The orbital velocity is 7500 m/s.

What is orbital velocity ?

Orbital velocity is defined as the minimum velocity a body must maintain to stay in orbit.

Given

h = 6.8 E 5 m = 6.8 * [tex]10^{5}[/tex] m

mass of satellite = 5.6 * [tex]10^{5}[/tex] kg

Earth's mass : m(e)  = 5.98 E 24 kg

Earth's radius ; R(e) = 6.357 E 6 m

orbital velocity :v(orbiting ) = [tex]\sqrt{Gm(e) / R(e) + h}[/tex]

R(e) + h  = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m

v = √(6.67×10⁻¹¹ * (5.98×10²⁴)) / (7.037×10⁶))

v = 7500 m/s

The orbital velocity is 7500 m/s.

learn more about orbital velocity

https://brainly.com/question/16040381?referrer=searchResults

#SPJ2

Hybrid seeds are deliberately crossbred for particular traits, such as growth pattern or disease resistance. They have been hand-pollinated and are patented, often sterile, and genetically identical within food types. These plants are usually grown in a monocultural environment and are cultivated for mass production and sale. They must be sturdy to withstand mechanical picking and cross-country shipping. They do not compare to the quality and taste of heirloom plants, but they do produce large, healthy fruit that appeals to most shoppers. Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Which statement can be removed and not affect the excerpt’s reliability?

Answers

Answer:

Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.

Explanation:

The statement that can be removed without affecting the reliability of overall paragraph is, "unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again". This is because even if we remove this line, the paragraph still looks completely understandable, reliable and in a flow.

If we talk about hybrid plants, we know that they are produced through cross pollination of the crops with desired traits. Although they are sterile and cannot produce offspring, however the plants which are raised from these seeds are edible and quite healthy. This is why these plants have better yield and a better resistance against environmental constraints like diseases and stresses. After the production, hybrid seeds are stored and they are able to produce plants of similar types.

Hope it helps!

Answer:

C on edg

Explanation:

which letter represents the wavelength of the wave?

A: a

B: b

C: c

D: d​

Answers

Answer:

D

Explanation:

Shows the distance between each new wave.

The letter in the image, that represents the wavelength or the distance traveled by the wave is letter d.

What is wavelength?

The wavelength of a wave is the distance traveled by the wave. This distance can be from one crest to another or from crest of a wave to the trough of a wave.

When the distance is between two successive crest or trough, it becomes one wavelength.

From the given image, the letter that represents the wavelength of the wave is letter d.

Learn more about wavelength here: https://brainly.com/question/10728818

Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.




3 kg: ____kJ

6 kg: ____kJ

9 kg: ____kJ

Answers

Answer: 14.7kJ, 29.4kJ, 44.1kJ

Explanation:

The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.  

In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:  

[tex]U_{p}=mgh[/tex]  

Where [tex]m[/tex] is the mass of the object, [tex]g=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.  

Knowing this, let's begin with the calculaations:

For m=3kg

[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=14700J=14.7kJ[/tex]  

For m=6kg

[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=29400J=29.4kJ[/tex]  

For m=9kg

[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]  

[tex]U_{p}=44100J=44.1kJ[/tex]  

A force of 32.5N stretches a spring of 0.500cm. What force will stretch a similar spring 1.60 cm?​

Answers

Answer:

104 N

Explanation:

Calculate the spring stiffness:

F = kx

32.5 N = k (0.500 cm)

k = 65 N/cm

Find the force for the new length:

F = kx

F = (65 N/cm) (1.60 cm)

F = 104 N

the initial velocityof a particle along x axis is u at t=0 x=0 and its acceleration is given by a =2x then whats the correct equation for v^2= u^2 +2as​

Answers

Answer:

v² = u² + 2x²

Explanation:

v² = u² + 2as​ is only valid for constant acceleration.  Here, the acceleration is a function of position.  We can find the function of velocity by integrating.  Acceleration is the derivative of velocity with respect to time:

a = 2x

dv/dt = 2x

Apply chain rule:

dv/dt = dx/dt × dv/dx

dv/dt = v × dv/dx

Therefore:

v dv/dx = 2x

Separate the variables and integrate:

v dv = 2x dx

½ v² |ᵤᵛ = x² |₀ˣ

½ (v² − u²) = x²

v² − u² = 2x²

v² = u² + 2x²

some fuel cells are powered by hydrogen scientists are looking into the decomposition of water to make hydrogen fuel with the help of the sun's energy what challenge do scientists face with this task


A) Decomposing water requires high activation energy
B) The sun isn't a renewable resource
C) Decomposing water results in toxic byproducts
D) Scientists are uncertain what to do with the excess oxygen

Answers

Answer:

A) Decomposing water requires high activation energy

Explanation:

The sun is a renewable resource, because the solar energy we use is less than the solar energy being created.  Decomposing water produces hydrogen gas and oxygen gas, which aren't toxic.  The oxygen is used in the combustion of the hydrogen gas.  However, splitting water molecules into hydrogen and oxygen takes a lot of energy.

Answer:

A Decomposing water requires high activation energy

Explanation:

Gravity is the force that keeps us on the Earth. It pulls us towards the center of the Earth. If you were to move from the surface of the Earth to a point higher up, away from the Earth, what type of energy would be gained? A. Chemical potential energy B. Gravitational potential energy C. Gravitational kinetic energy D. Kinetic potential energy

Answers

Answer: B. Gravitational potential energy

Explanation:

The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.

That is why this energy depends on the relative height of an object with respect to some point of reference and associated with the gravitational force.

In the case of the Earth, in which  the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:

[tex]U_{p}=mgh[/tex]  

Where [tex]m[/tex] is the mass of the object, [tex]g[/tex] the acceleration due gravity and [tex]h[/tex] the height of the object.

As we can see, the value of [tex]U_{p}[/tex] is directly proportional to the height.

3. A nail salon has looked up the melting and boiling point of alcohol (ethyl). This means there's enough energy to change the state of matter. This change where a switches states is known as the

A. freezing point.
B. critical temperature.
C. fusion point.
D. condensation point.

Answers

Explanation:

critacal temperature

I think it’s Bbbbbbbbbbbbbbbbbbbb

identify the type of synthetic material used in each object. is it alloy, ceramic, polymer?

tuba -

paper -

Pot - ​

Answers

Answer: tuba- alloy

paper-polymer

pot- ceramic

Explanation:

Answer:

Tuba -  Alloy

Paper -  Polymer

Pot - ​Ceramics

Explanation:

Alloy : An alloy is a substance which made up of two more than two types of metal.It is uniform solid substance. For example : brass, steel etc

Ceramics: Articles , figures made up of clay which are hardened by the action of heating. For example : pots, crockery etc.

Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.The single chemical unit is known as monomer. For example : plastic , rubber etc.

Tuba is an musical instrument similar made up of brass. And brass is an alloy of copper and zinc. Hence, an alloy.

Paper is majorly made up of wood pulp.And Wood pulp consists cellulose which is a polymer of glucose molecule.Hence, polymer.

Pot is made up of clay and heated to hardened them.Hence, ceramics.

A baseball is launched straight up (vertically) next to a tall building with an initial velocity of 30.0 m/s[up]. The ball continues upward to a stop, and then falls until caught by a player leaning out of a window 14.0 m above the ground. How long is the ball in the air before the player catches it?

Answers

Answer:

5.61 seconds

Explanation:

Given:

y₀ = 0 m

y = 14.0 m

v₀ = 30.0 m/s

a = -9.8 m/s²

Find: t

y = y₀ + v₀ t + ½ at²

14 = 0 + 30t − 4.9t²

4.9t² − 30t + 14 = 0

Solve with quadratic formula:

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 30 ± √(900 − 274.4) ] / 9.8

t = 0.509, 5.61

t = 0.509 is the time when the ball first reaches the height of 14.0 meters on the way up.  t = 5.61 is the time when the ball reaches the height of 14.0 meters on the way down.

Since we know the ball reaches its maximum height and begins falling again, we want the second time.  t = 5.61 seconds.

What is the resistance of a circuit with a voltage of 10 volts (V) and a current of 5 amps (A)? Use Ohm’s law to calculate the resistance.

Answers

Answer: 2Ω

Explanation:

V = IR

R = V/I

R = 10/5 = 2Ω

Hope it helped!

A car travels 60 m/s for 10 seconds
Calculate how far it traveled.

Answers

Answer:

600 m

Explanation:

60 meters / second is 60 meters traveled in one single second.

in ten seconds, it would be 10 times the amount in one second.

so 60 meters / second times 10 seconds = 600 meters.

Answer: 600 meters

Explanation: 60 meters per second so 60 times 10

A student drives her car at 54.0 km/h along a level (horizontal) curve. The combined mass of the car is 1250 kg. If the
curve has a radius of 70.0 m, what centripetal force must be supplied by friction to keep the car from skidding?

Answers

Answer:

4020 N

Explanation:

First convert km/h to m/s.

54.0 km/h × (1000 m / km) × (1 h / 3600 s) = 15.0 m/s

Sum of the forces in the radial direction:

∑F = ma

F = m v² / r

F = (1250 kg) (15.0 m/s)² / 70.0 m

F ≈ 4020 N

A 225 kg block is pulled by two horizontal forces. The first force is 178 N at a 41.7-degree angle and the second is 259 N at a 108-degree angle. What is the x and y component of the total force acting on the block?

Answers

Answer:

52.9 N, 364.7 N

Explanation:

First of all, we need to resolve both forces along the x- and y- direction. We have:

- Force A (178 N)

[tex]A_x = (178 N)(cos 41.7^{\circ})=132.9 N\\A_y = (178 N)(sin 41.7^{\circ})=118.4 N[/tex]

- Force B (259 N)

[tex]B_x = (259 N)(cos 108^{\circ})=-80.0 N\\B_y = (259 N)(sin 108^{\circ})=246.3 N[/tex]

So the x- and y- component of the total force acting on the block are:

[tex]R_x = A_x + B_x = 132.9 N - 80.0 N =52.9 N\\R_y = A_y + B_y = 118.4 N +246.3 N = 364.7 N[/tex]

Answer:

x: 52.9

y: 364.7

Explanation:

2 Points
What was a Democratic Party argument against the building of transportation
systems by the federal government?
O
A. The plan would result in the loss of farming jobs.
O
B. The plan would result in the loss of city jobs.
O
C. The plan would result in domination of the country by special
interests.
O
D. Only state governments could afford the large costs of the plan.
S

Answers

Answer:

The plan would result in domination of the country by special interests. - C.

a bike can climb the inclined road at uniform speed of 72 km/hr by applying force 500N what will be the power applied by the bike ?​

Answers

Answer:

10 kW

Explanation:

First convert km/hr to m/s.

72 km/hr × (1000 m / km) × (1 hr / 3600 s) = 20 m/s

The power is:

P = Fv

P = (500 N) (20 m/s)

P = 10000 W

P = 10 kW

The power applied by the bike is 10 kW.

The power applied by the bike climbing the inclined road at a constant speed with a force of 500 N is calculated as 10000 watts or 10 kW using the formula Power = Force x Velocity.

The problem at hand involves calculating the power applied by a bike when it ascends an inclined road at a uniform speed while applying a force. To find the power, we need to use the formula for power in the context of mechanical systems, which is Power (P) = Force (F) × Velocity (v). Here, force is given as 500 N and the velocity can be converted from 72 km/hr to meters per second (m/s) by multiplying it with (1000 m/km) / (3600 s/hr), which gives us 20 m/s.

Therefore, the power applied by the bike is P = 500 N × 20 m/s = 10000 watts or 10 kW.

This is the instantaneous power delivered by the force that the bike exerts on the road to overcome resistant forces like friction and air resistance while moving uphill. It's important to note that the power can change if any of the variables, such as speed or the force, change.

Why is Earth considered to be an inner planet?

A- It is located between the sun and the Kuiper Belt.

B- It is located between the sun and the main asteroid belt.

C- It is the closest planet to the main asteroid belt.

D- It is the closest planet to the sun.

Answers

Earth is among many things the largest terrestrial planet in the solar system. All 4 terrestrial planets are considered inner planets because they orbit between the main asteroid belt and the sun. All these inner planets are heavy and mineral rich unlike the outer planets which are gaseous and have many moons. Your answer is B.

Hope this helps!
Final answer:

Earth is considered an inner planet because it lies between the Sun and the main asteroid belt, along with the other terrestrial planets Mercury, Venus, and Mars.

Explanation:

Earth is considered to be an inner planet because it is located between the sun and the main asteroid belt. This asteroid belt is the region of the solar system between the orbits of Mars and Jupiter, where most asteroids are found. Earth, along with Mercury, Venus, and Mars, falls into the category of terrestrial or inner planets, which are closer to the Sun and primarily composed of rock and metal with solid surfaces that have geological features.

Correct answer to the student's question: B- It is located between the sun and the main asteroid belt.

12. A boy of mass 50 kg running 5m/s jumps on to a 20kg trolley
travelling in the same direction at 1.5m/s. Find their common
velocity. Assume that there is no external unbalanced force
working in the horizontal direction.​

Answers

Answer:

4 m/s

Explanation:

Momentum is conserved.

m₁ v₁ + m₂ v₂ = (m₁ + m₂) v

(50)(5) + (20)(1.5) = (50 + 20) v

v = 4

The final velocity is 4 m/s.

A body has density of 2kg/m² and volume 2m². Find the mass of the volume​

Answers

Answer:

4kg

Explanation:

density is mass/ volume, 4/2= 2

Answer:

The mass is 4kg

Explanation:

Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,

Density = mass/volume

Mass is measured in kilogram (kg)

Volume is measured in m³

From the formula;

Mass = Density × volume

Mass = 2kg/m³ × 2m³

Mass = 4kg

3.
A traffic light is suspended by two cables. What
should be the angle between the cables (0) so that the
tension in each cable will be equal to the weight of the
traffic signal light (W=T, = T)?

Answers

Answer:

120°

Explanation:

Draw a free body diagram.  There are three forces acting on the traffic light.  Two tension forces acting along the cables, and weight.

The tension forces have an angle θ between them.  That means each tension force forms an angle of θ/2 with respect to the vertical.  So the y component of each tension force is:

Ty = T cos (θ/2)

Sum of the forces in the y direction:

∑F = ma

Ty + Ty − W = 0

2 Ty = W

Substituting:

2 T cos (θ/2) = W

If W = T, then:

2 W cos (θ/2) = W

2 cos (θ/2) = 1

cos (θ/2) = 1/2

θ/2 = 60°

θ = 120°

The angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°

Let

Ф = the angle between the cables.T = the tension in cable 1, T' = the tension in cable 2 and W = the weight of the traffic light

Now, the angle between the tension and the vertical is α = Ф/2.

Net force on vertical force on traffic light

The net force vertical force on the traffic light is F = Tcosα + T'cosα - W

Since the traffic light is in equilibrium, we have that F = 0

So, F = Tcosα + T'cosα - W

Tcosα + T'cosα - W = 0

Tcosα + T'cosα = W

Now, since the tension in each cable equals the weight of the traffic light, T = T' = W.

So, Tcosα + T'cosα = W

Wcosα + Wcosα = W

2Wcosα = W

cosα = W/2W

cosα = 1/2

α = cos⁻¹(1/2)

α = 60°

Angle between the cables

Since α = Ф/2

Ф = 2α

Ф = 2(60°)

Ф = 120°

So, the angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°

Learn more about angle between cables here:

https://brainly.com/question/16604722

I will make you brainliest! Very Easy question!!!!
How can you define synthetic material and natural material?

Answers

Answer:

Synthetic Materials are man-made; natural materials are only warmer than synthetic materials, if the natural material is obtained from an animal. Wool is warmer than any synthetic material available, but polyester (a synthetic material) can be warmer than cotton (a natural plant-based material).

What happens to incoming light rays that are parallel to the principal axis of a convex lens? A. They converge at the focal point. B. They diverge away from the principal axis. C. They converge beyond the focal point. DO. They diverge from the focal point.

Answers

Answer:

D. They diverge from the focal point.

Explanation:

Incoming light rays diverge from the focal point is they are parallel to the principal axis of a convex lens.

Answer:

They diverge from the focal point.

Explanation:

A convex lens is also called as converging lens. If the rays of light are parallel to the principal axis of a convex lens, it passes through the focal point of the lens.

For a converging lens, the ray of light diverge from the focal point of the lens. The image formed by a convex lens is real and inverted. When the object is placed between the focus and the optical center, the image is virtual and erect.

So, the correct option is (d) "They diverge from the focal point".

During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?

Answers

Explanation:

Power = work / time

Work = force × distance

Therefore:

Power = force × distance / time

Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.

Answer:

The correct answer is B) The player would need to use a greater force and take less time.

Explanation:

hope this helps :)

can i get brainliest plz

11. If a bar magnet's neutral region is broken in two, what will most likely occur?

Answers

Answer:

When the neutral point of a magnet is broken into two each part gains polarity opposite to each other. This is because the broken parts of this magnet become a complete magnet as the Original magnet with complete poles N and S.  

When the neutral region of a bar magnet is broken into two, the broken two parts of the magnet becomes a whole magnet in itself, that is from one magnet, two new magnets are formed.

Explanation:

The neutral region exists in the mid of the magnet as the magnet is only polarized at the end on whole. Thereby the broken pieces on its ends acquires the polarity on the two end sides.

This occurs in both the broken parts. With the acquirement of the polarity, one side becomes the North Pole and the other side becomes the South pole. Therefore, the broken bar magnets becomes a magnet in itself.  

A circular track begins at O meters and has a total distance of 100 meters. Juliet starts at the 10-meter mark while practicing
for a race.
After running 45 meters, how far is she from the beginning of the track?
10 meters
35 meters
45 meters
55 meters

Answers

Answer:

55 meters

Explanation:

She started at the 10 meter mark, and ran 45 meters.  So her final position is:

10 m + 45 m = 55 m

She is 55 meters from the beginning of the track (the 0 meter mark).

Answer:

55 meters

Explanation:

If Juliet starts at the 10-meter mark while practicing  for a race, after running 45 meters, she is 55 meters from the beginning of the track.

10 m + 45 m = 55 m

What is the importance of the International Space Station?

Answers

Answer:

The main purpose of International Space Station is to provide an international labotary for experiment within the space environment. Which, despite all our technological advances, is nearly impossible to replicate here on Earth.

ISS is also a laboratory to prepare us for the next level of the space exploration and the long duration exposure to space that comes with that.

A man holding 7N weight moves 7m horizontal and 5m vertical , find the work done

Answers

The work done by the man is 35 joules. This work is only done in the horizontal direction because work is the product of force and displacement in the direction of the force.

Work done is calculated by the formula Work (W) = Force (F)  imes Distance (d)  imes cos( heta), where  heta is the angle between the force and the direction of the displacement. Since the force is in the horizontal direction and the displacement is also horizontal,  heta is 0 degrees and therefore, cos( heta) = 1. For the vertical movement, the force exerted by the man does not contribute to the work done on the weight since the displacement is perpendicular to the force applied. Hence, the work done while moving vertically is zero. The total work done is then the sum of the work done horizontally and vertically, which is 35 joules + 0 joules = 35 joules.

A _________ is a satellite or other spacecraft designed to explore space and transmit data back to Earth.

Answers

Answer:

Space Probe

Explanation:

It is actually a type of satellite to explore space considering the useful dimensions for discoveries and observations that are useful for existence of life. It collects data and returns back to the base with records that are purpose of flight.

The Voyager is a designed robotic spacecraft as a part of space technology to explore space and sends data to Earth.

Explanation:

The voyager has been designed as an integral part of the space program known as the VOYAGER, which explores space. This program has been launched into the space by the NASA.

The satellite has been communicating and sending various space informational data to the space information base positioned in NASA known by the name of DEEP SPACE NETWORK. This program was launched in the year of 1977.

the pressure of 20cm of mercury is a.27200 n/m2 b.27500n/m2 c.28000n/m2 d.29000n/m2​

Answers

Answer:

im note too sure

Explanation:

please ask again later

Other Questions
Given nonempty sets A and B, prove that every set in P(B A) P(B) P(A). Over the counter drugs ___ Yall what do i write Write a program in which you input three numbers they canhave decimals so float values and the program gives you the minvalue out of the three. Please need asap thank you Find the angular acceleration produced given the mass lifted is 12 kg at a distance of 27.1 cm from the knee joint, the moment of inertia of the lower leg is 0.959 kg m2 kg m 2 , the muscle force is 1504 1504 N, and its effective perpendicular lever arm is 3.3 3.3 cm. Suppose that you wish to construct a simple ac generator having an output of 12 V maximum when rotated at 60 Hz. A uniform magnetic field of 0.050 T is available. If the area of the rotating coil is 100 cm2, how many turns do you need? The pressure of a gas in a container is 1.85 atm and occupies a volume of 12.5 L. If the original volume is reduced by half at constant temperature, what would happen to the pressure? Which fraction is not equivalent to 5/6?A-15/18B-20/30C-10/12D-30/36 Mrs. Alford invested $6700 in securities. Part of the money was invested at 1% and part at 9%. The total annual income was $275. How much was invested at each rate?$ at 1%$ at 9% The graph shows the function f(x) = |x h| + k. What is the value of k? k = 2.5 k = 1 k = 1 k = 2.5 Which of the following quenching materials is LEAST severe in its quenching action (slowest cooling)? a. Air b. Brine c. Oil d. Water The equation of a line is 3x + 8y - 16 = 0.What is the slope and y-intercept?slope =?y intercept =?Help confused ! I need dire help, I'm almost done with summer school! A store owner tracks the number of online orders she receives each week since the start of a new advertising campaign and graphs the data. Use the graph to select the true statement about the function that models the given situation.A. The function is linear and is growing by equal differences over equal intervals.B. the function is exponential and is growing by equal percentages over equal intervals .C. the function is exponential and is growing by equal differences over equal intervals D. the function is linear and is growing by equal percentages over equal intervals If you know that the change in entropy of a system where heat was added is 12 J/K, and that the temperature of the system is 250 K, what is the amount of heat added to the system? a)-5J b)-125J c)- 600 J d)-5000 J e)-8000 J 3. Suppose you have two traits controlled by genes on separate chromosomes. If sexual reproduction occurs between two heterozygous parents, what is the genotypic ratio of all possible gametes? Lacinda has 120 ft of fencing to make a rectangular kennel for her dogs. The house is to be used as one side of the kennel. What length will maximize the area of the kennel? Is the pythagorean theorem only for right triangles A football team started at the line of scrimmage. On the first play of the drive, the team lost 4 yards. On the second play of the drive, the team gained 45 yards. Taylor calculated |4 45| = |49| = 49, and said that the team gained a total of 49 yards on the two plays. Which best describes Taylors error? A.Taylor did not find the correct distance between 4 and 45. B.Taylor did not make an error. The team gained a total of 49 yards on the two plays. C.Taylor correctly found the distance between 4 and 45, but this number represents the teams total loss, not the teams total gain. D.Taylor correctly found the distance between 4 and 45, but this number represents the total distance the team moved in both directions, not the teams total gain. What concentration of Ni2+ ion remains in solution after electrolysis of 100. mL of 0.250 M NiSO4 solution when using a current of 2.40 amperes for 30.0 minutes? Assume Ni metal is plated out. The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times x. Function B x y1 2 0 5 1 8 Which statement is correct about the slope and intercept of the two functions?A) Their slopes are equal but y-intercepts are not equal. B) Their slopes are not equal but y-intercepts are equal.C) Both slopes and y-intercepts are equal.D) Neither slopes nor y-intercepts are equal.