Define rest
Define motion

Answers

Answer 1
Rest- to stop doing work or an activity, spend time relaxing

Motion- an act of process of moving
Answer 2

Answer:

motion: motion is the phenomenon in which an object changes its position over time. four common types of motion are rotary, oscillating, linear, and reciprocating.

rest is the polar opposite

Explanation:


Related Questions

The brakes on a 15,680 N car exert a stopping force of 640 N.
The car's velocity changes from 20.0 m/s to 0 m/s. What is the
mass of the car? (Estimate 10 N/kg for g.)

Answers

Answer:

1568 Kg is the answer

Explanation:

At some automobile toll-collecting stations, a thin metal wire sticks up from the road and makes contact with cars before they reach the toll collector. What is the purpose of this wire

Answers

The purpose of the thin metal wire sticking up from the road at some automobile toll-collecting stations is to count the number of axles on the vehicle.

As vehicles drive over the wire, the electrical circuit is completed, and the toll-collecting system can determine the number of axles on the vehicle. This information is crucial in determining the appropriate toll fee for the vehicle. For example, a vehicle with more axles (such as a large truck) may be charged a higher toll fee than a vehicle with fewer axles (such as a car). Therefore, the wire helps to ensure that each vehicle is charged the correct amount for using the toll road.
The wire makes contact with the car, allowing the built-up static charge to safely discharge to the ground, preventing any potential harm or discomfort to the toll collector when they touch the car.

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Answer the following three questions in complete sentences. 1. How much does the earth weigh? 2. How far away is the sun? 3. What is a black hole?

Answers

Answer: find the answer in the explanation.

Explanation:

1.) The weight of the earth can be calculated and estimated by the physicist by considering the mass of the earth and the knowlegde of gravity.

If the mass of the earth is considered to be 6 × 10^24 kg. Then with Physics formula and some mathematical techniques, we can conclude that the weight of the earth is approximately equal to 6 × 10^25 N.

2.) The distance of the sun to the earth is approximately 1.5 × 10^8 km. This measure is the distance from the surface of the earth to the sun.

3.) The black hole is approximately the size of the earth of very large gravitational field strength. It is a region of space of enormous gravity where no particular object can escape from it. Even electromagnetic radiation or light cannot escape from it.

Answer:

The Earth weighs 5.972 × 10^24 kg

The Sun is 94.022 million miles away.

A black hole is is a region of spacetime where gravity is so strong that nothing, no particles or even electromagnetic radiation such as light can escape from it. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole.

I hope this helps!! :)

................produce pollen, which contains the male sex cells, or sperm.

Answers

Answer:

Anther....

My answers

b. Two vectors with dimensions A = 5i + 3j + k and B = 4i + j + 2k are used for the following calculation. Determine: i. ii. iv. The dot product A.B. [2 marks] [3 Marks] The angle between vectors A and B. The cross product A XB. [2 marks] The area of the parallelogram spanned by the vectors A and B. [3 Marks]

Answers

The dot product is 25, the angle is \(\theta = cos^{-1} \frac{25}{\sqrt{35} \times \sqrt{21}}\), the cross product is 1i + (-6)j + (-7)k, and the area of the parallelogram spanned by vectors A and B is \(\sqrt{86}\).

Given,

A = 5i + 3j + k

B = 4i + j + 2k

i. Dot Product (A · B):

The dot product of two vectors A and B is given by the sum of the products of their corresponding components.

\(A.B = (A_x \times B_x) + (A_y \times B_y) + (A_z \times B_z)\\A.B = (5 \times 4) + (3 \times 1) + (1 \times 2) \\= 20 + 3 + 2 \\= 25\)

ii. Angle between vectors A and B:

The angle between two vectors A and B can be calculated using the dot product and the magnitudes of the vectors.

\(cos\theta = (A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} ((A.B) / (|A| \times |B|))\\A = \sqrt{(5^2 + 3^2 + 1^2)} =\\ \sqrt{35}\\B = \sqrt{(4^2 + 1^2 + 2^2)} \\= \sqrt{21}cos\theta = \frac{(A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} \frac{25}{\sqrt{35} \times \sqrt{21}}}\)

iv. Cross Product (A × B):

The cross product of two vectors A and B is a vector that is perpendicular to both A and B and its magnitude is equal to the area of the parallelogram spanned by A and B.

\(A\times B = (A_y \timesB_z - A_z \timesB_y)i + (A_z \timesB_x - A_x \timesB_z)j + (A_x \times B_y - A_y \times B_x)k\\A\times B = ((3 \times 2) - (1 \times 1))i + ((1 \times 4) - (5 \times 2))j + ((5 \times 1) - (3 \times 4))k\\= 1i + (-6)j + (-7)k\)

Area of the parallelogram spanned by vectors A and B:

The magnitude of the cross product A × B gives us the area of the parallelogram spanned by A and B.

Area = |A × B|

Area of the parallelogram spanned by vectors A and B:

Area = |A × B| =

\(\sqrt{(1^2 + (-6)^2 + (-7)^2}\\\sqrt{1+36+49\\\\\sqrt{86}\)

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A rotating, funnel-shaped column of air that extends down to the ground is called a(n). If it does not reach the ground it is called a(n)

Answers

A rotating, funnel-shaped column of air that extends down to the ground is called a tornado. If the rotating column of air does not reach the ground, it is called a funnel cloud

Tornadoes are powerful and destructive weather phenomena that form under specific atmospheric conditions, usually during thunderstorms. They develop when warm, moist air near the ground rises and interacts with cooler, drier air above, creating a rotating updraft called a mesocyclone. The intense pressure differences and strong winds within the storm can then cause the mesocyclone to tighten and extend downward, forming a tornado.

Funnel clouds are similar in appearance to tornadoes but do not have the same destructive power, as they have not made contact with the ground. They can still be a sign of dangerous weather conditions, as they may eventually develop into a tornado if the atmospheric conditions are favorable. It is essential to monitor weather alerts and take appropriate safety precautions when a funnel cloud is spotted. So therefore tornado is a rotating, funnel-shaped column of air that extends down to the ground, and funnel cloud is a rotating, funnel-shaped column of air that extends down to the ground.

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how do plants get their fuel?

Answers

Answer sunlight, water and carbon dioxide

Explanation:

Plants absorb sunlight, water and carbon dioxide for photosynthesis, using solar energy to split the water molecule into hydrogen and oxygen and power a chemical reaction that assimilates carbon dioxide, producing carbohydrates used to fuel the plants' survival.

10 points whats an average height for a egg drop? 20m or what?

Answers

Answer:

Egg Drop Challenge height

The containers will be dropped from an initial height of about 11.5 ft. The second and final drop will be from the second floor (about 19.5 ft).

Explanation:

Which best explains how the coating works?
Glare appears on a computer screen when light from
the surroundings reflects off of the screen's surface.
Some computer screens have a special coating to
reduce glare.
O The coating absorbs light that shines on it and
prevents the light from reflecting.
O The surface of the coating is rough, so light that
shines on it gets scattered in many directions.
O The coating bends light that passes through it and
prevents the light from reaching the user's eyes.
O The surface of the coating allows light from the room
to pass through but blocks the light from the screen.
My

Answers

Answer: Glare appears on a computer screen when light from the surroundings reflects off of the screen's surface. Some computer screens have a special coating to reduce glare. Which best explains how the coating works? The surface of the coating is rough, so light that shines on it gets scattered in many directions.

HOPE THIS HELPS IF NOT SORRY

The surface of the coating is rough, so light that shines on it gets scattered in many directions best explains how the coating works.

What is coating?

A coating is a protective layer that is put to the surface of an item, The coating can be applied for ornament and jewelry.

Paints are a type of coating that protect the surface of the material and also used for its decoration  as well as also used in corrosion prevention.

When any light is to fall on any rough surface in that condition, the light get scattered in many directions.

The surface of the coating is rough, so light that shines on it gets scattered in many directions best explains how the coating works.

Hence, option B is correct.

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You turn on a car's radio. What energy transformation is taking place?
A. Chemical to kinetic
B. Thermal to kinetic
C. Electrical to sound
D. Nuclear to sound
SUBMIT

Answers

I think c because when you first start the car the first thing you hear electrical sound.

Answer:

I think C like my friend upove

Explanation:

pressure exerted on a surface depends on________

(a) force and pressure
(b) density and area
(c) height and density
(d)Area and density of liquid​

Answers

Answer:

(a) Force and Pressure

Explanation:

Acc to the formula,

Force = Pressure/Area

Therefore it depends on force and pressure

I believe the answer would be B ( density and area ) but not so sure.

Global climate and weather patterns are driven by differences in the amount of heat energy in different areas of the Earth. Which statement best explains why different areas of the Earth have different amounts of heat energy?
The Earth receives different amounts of solar energy in different regions.
ocean currents and global wind patterns, which are caused by convection currents, most strongly affect a region's
climate
An area with an average annual temperature of more than 64°F and greater than 59 inches of annual rainfall would be an example of which type of climate?
tropical
Which of the following factors would affect the weather patterns of a region?
all of these
Water cycles from the atmosphere into the hydrosphere through precipitation. Water cycles from the hydrosphere back to the atmosphere through evaporation.
Which of the following is one way that these patterns can effect climate?
Areas located near a large body of water typically receive more precipitation than areas that are not located near water.
Convection currents, which affect weather and climate, are created by
the uneven heating of the Earth.
Which of the following statements best describes global temperature patterns?
The temperature of a specific region tends to change in fairly predictable patterns throughout a day and during the course of a year.
Seasonal changes in water temperature tend to remain within a narrow range. This is opposed to air temperature, which tends to fluctuate across a wide range. The relative stability of ocean temperatures helps to regulate the temperatures of coastal regions. Why can water remain within a narrow range of temperatures?
It has a high heat capacity.
The Sun's energy is critical to the Earth's climate and weather patterns because it drives the water cycle. Which stage of the water cycle is the Sun's energy most critical to?
evaporation
he polar climate zone is the coldest of the three zones. Why is this?
The polar climate zone is located between about 67°N latitude and the North Pole—this latitude zone receives less sunlight than the other two latitude zones.
Weather is a condition of the atmosphere at a particular time and place. Wind, rain, and cloud formations are all forms of weather phenomena. What is the primary source of energy for weather phenomena?
solar radiation
The equator tends to contain regions with hot climates. However, the Rwenzori Mountains, which are located close to the equator, are covered in ice caps. Why is the climate of the Rwenzori Mountains not hot?
Temperatures decrease with elevation
A number of factors work together to create climate. What are the two main factors to consider in determining the climate of an area?
temperature and precipitation

Answers

The best statement that explains why different areas of the Earth have different amounts of heat energy is that "Earth receives different amount of solar energy in different regions " .

In the question ,

it is given that ,

Global climate & weather patterns are driven by differences in amount of heat energy in different areas of Earth .

we have to find the true statement for the given cause .

we know that ;

Different parts in the  Earth surface receive different amounts of sunlight . The Sun rays strike the Earth surface most directly at Equator.

that means Near the poles, the Sun rays strike surface at a slant due to which the rays spread over wide area.

The more focused rays are, more energy the area receives, and it will be more warmer .

Therefore , the correct statement to explain given reason is "Earth receives different amount of solar energy in different regions " .

The given question is incomplete , the complete question is

Global climate and weather patterns are driven by differences in the amount of heat energy in different areas of the Earth. Which statement best explains why different areas of the Earth have different amounts of heat energy ?

(a) The solar radiation from the Sun is equally distributed across the Earth at all times.

(b) The gravitational energy from the Sun varies greatly in different regions of the Earth.

(c) The Earth spins at different rates so the rotational energy of the Earth varies.

(d) The Earth receives different amounts of solar energy in different regions

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What causes the change in momentum?

Answers

Answer:

See explanation

Explanation:

A change in momentum occurs when a force is applied to an object and changes its velocity.


Please help!!!!

A student reads that the Mid-Atlantic ridge is growing wider every year as the North American and Eurasian plates move apart. Why is the separation between the two plates of little concern?

a. the separation occurs slowly at the rate of only a few centimeters a year

b. the magnetic force acting between the two plates remains strong

c. the seafloor between the two plates continues to hold them together

d. a landmass bridges the gap that is created by the separation of the two plates

Answers

Answer:

I think its D.....

Use Coulombs Law to calculate the force between a 0.05 C charge and a 0.06 C charge when they are 2 meters apart from each other

Answers

Answer:

6,740,663.84 N

Explanation:

Coulombs Law states that \(F = k\frac{q_{1} q_{2}}{r^{2}}\), where k = coulombs law, q1 and q2 are charge one and charge 2 respectively, and r is distance

Substitute for q1 and q2, multiply .05 and .06 together

\(f= k \frac{.003}{r2}\)

Substitute for r, simplify \(2^{2}\)

\(f= k \frac{.003}{4}\)

Divide .003 by 4

\(f=k*.00075\\\)

Substitute in k

\(f=(8.9875517873681764 * 109 N.m2.C-2)*.00075\)

\(force = 6740663.8405261\)

BRAINLIEST! I NEED HELP ASAP!
The ratio of xi to xo for a certain mirror is 2.5. Which is true of an image produced by this mirror?
It is 2.5 times larger and virtual.
It is 2.5 times larger and real.
It is 2.5 times smaller and virtual.
It is 2.5 times larger and real.

Answers

The true of an image produced by this mirror will be 2.5 times smaller and virtual. Option C is correct.

What is the image?

When light beams from an object reflect off a mirror, they intersect with the picture of that thing called an image. Real and virtual images are the two sorts of images.

The ratio of xi to xo for a certain mirror is 2.5;

\(\rm \frac{x_i}{x_0} =2.5 \\\ x_i=2.5 x_0\)

Where,

\(\rm x_0\) is the true of an image produced by this mirror.

The true of an image produced by this mirror will be 2.5 times smaller and virtual.

Hence,option C is correct.

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When a rocket ship accelerating in outer space runs out of fuel it: A. accelerates for a short time, then slows down to a constant velocity B. accelerates for a short time, slows down, and eventually stops C. no longer accelerates

Answers

When a rocket ship accelerating in outer space runs out of fuel, it will no longer accelerate. This is because acceleration requires a force, and in the absence of fuel, there is no force to continue propelling the rocket forward.

According to Newton's First Law of Motion, an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity unless acted upon by an external force. Therefore, when the rocket ship runs out of fuel, it will continue to move at a constant velocity in the direction it was traveling at the moment the fuel was depleted. It will not slow down or stop unless acted upon by an external force, such as gravity or air resistance, if present.

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jeremiah is on location shooting a king cobra snake that is extremely venomous, meaning that he absolutely cannot get too close. however, he really wants to show as much detail as possible. what type of lens might be helpful for jeremiah to use on this shoot?

Answers

A zoom lens is an SLR or DSLR lens that offers a different focal length for the photographer to select from.)

What is the range of zoom lens?

Standard zoom lenses usually have middle focal length of around 50mm (35mm film equivalent) and cover a range that includes wide-angle and a telephoto range of around 70mm to 100mm. Superzoom lenses cover an even wider range, from wide-angle up to as much as 300mm.

What is a good zoom lens size?

The longer the focal length, the closer you can zoom in on a distant subject. Many entry-level DSLRs come with an 18-55mm lens in the package, which is a good choice as a general-use lens. For more zoom power, you'll need a telephoto lens, which typically falls within the 55-300mm range.

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A baseball player hits a 0.155 kilogram fastball traveling at 44.0 m/sec into canter field at a speed of 50 m/sec. If the impact last for 0.00450 second, with what force does he hit the baseball?

Answers

The answer to this question is 3237.78.

CAN SOMEONE PLEASE ANSWER THIS?!?!

Your best friend wants to run a 5K with you next year in next year. you are terribly out of shape so you want to slowly start training to be ready if I have K is 5KM and you have decided to break this distance in the smaller amount you will use to help you train and meet your goal convert five KM to meters to help you reach your training all use any method you prefer provide your answer in the scientific notation in standard form and show your work.

Answers

Answer:

5 km=5 × 10³ m

Explanation:

1 km=1 × 10³ m

Using unitary method,

5 km= 5×10³ m

Hope it helps.

Philip was diagnosed with __________ vestibular disorder, which is a dysfunction of the nervous system that processes balance. A. Upper B. Peripheral C. Lower D. Central.

Answers

Answer:

D. Central

Explanation:

How do I calculate final speed

Answers

Answer:

Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v.

Explanation:

Which is the most reasonable slit spacing for a transmission diffraction grating?1) 0.001 nm2) 1000 nm3) 1 times 10^(–6) nm4) 1 times 10^6 nm

Answers

For the diffraction grating, the slits spacing should be comparable to the wavelength of length incident on the grating to observe the phenomenon of diffraction.

The wavelength of light considered for the for diffraction ranges from,

\(\begin{gathered} 100\text{ nm to 10 }\mu m \\ or \\ 100\times10^{-9}\text{ m to 10}\times10^{-6}\text{ m} \\ or\text{ } \\ 1\times10^{-7}\text{ m or 1}\times10^{-5}\text{ m} \end{gathered}\)

By simplifying the given value in meters,

\(\begin{gathered} 1.\text{ 0.001 nm = 0.001}\times10^{-9}\text{ m = 1}\times10^{-12}\text{ m} \\ 2.\text{ 1000 nm = 1000}\times10^{-9}\text{ m} \\ =\text{ 1}\times10^{-6}\text{ m} \\ 3.\text{ 1}\times10^{-6}\text{ nm= 1}\times10^{-6}\times10^{-9}\text{ m} \\ =1\times10^{-15}\text{ m} \\ 4.\text{ 1}\times10^6\text{ nm= 1}\times10^6\times10^{-9}\text{ m} \\ =1\times10^{6-9}\text{ m} \\ =1\times10^{-3}\text{ m} \end{gathered}\)

As the value of 1000 nm fall in this range and thus, considered as most reasonable slit spacing.

Hence, option 2 (1000 nm) is the correct answer.

The loop in the figure is being pushed at 50 m/s into a uniform 0. 20-T magnetic field that is directed out of the page. The resistance of the loop is 0. 40?.

As the loop is entering the magnetic field its induced current is 1. 3 A, the direction of the current in the loop is clockwise.

What is the induced current after the entire loop has entered the uniform magentic field?

Answers

The induced current after the entire loop has entered the uniform magnetic field is 6.5 A.

In the problem statement given, a loop is being pushed at a uniform 0.2-T magnetic field, which is directed out of the page. The resistance of the loop is 0.4Ω. When the loop is entering the magnetic field, its induced current is 1.3 A and the direction of the current is clockwise. The question is asking for the induced current after the entire loop has entered the uniform magnetic field.The formula to find the induced current is given by Faraday's Law of Electromagnetic Induction,i = ε/R where ε is the induced emf, R is the resistance of the loop, and i is the induced current.

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derive an expression for resistivity of conductor of length l and area of cross section A​

Answers

Answer

Resistivity R = K * L / A    where resistivity is constant for material, L the length of the material and A the area of the material

K = R * A / L     where R is the resistance of the material

At what point on the position-time graph shown is the object's instantaneous velocity smallest?
A

D

C

B

At what point on the position-time graph shown is the object's instantaneous velocity smallest?ADCB

Answers

D because it isn’t moving for a sec so I think D

what is the meaning of force​

Answers

Answer:

strength or energy as an attribute of physical action or movement.

In Physics, force is defined as: The push or pull on an object with mass causes it to change its velocity.

which type of star has surface temperature of 4000k and a luminosity 1000 times greater than the sun

Answers

A yellow hypergiant star has surface temperature of 4000k and a luminosity 1000 times greater than the sun.

A yellow hypergiant star is a rare type of star that has a surface temperature of around 4000k and a luminosity that can be up to 1000 times greater than the sun. These stars are among the largest and most luminous in the universe, and are thought to be in a stage of rapid evolution. They are very rare, with only a few known examples in the Milky Way galaxy.

Yellow hypergiants are believed to be extremely unstable and may eventually explode as supernovae, leaving behind a black hole or neutron star. Their extreme luminosity means they can be easily observed by astronomers and can provide important information about the life cycle of stars and the evolution of the universe.

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in an electric geyser ______ energy is converted into____ energy​

Answers

Answer:

in an electric geyser electrical energy is converted into heat energy

Explanation:

a horizontal spring with spring constant 270 n/m is compressed by 20 cm and then used to launch a 300 g box across the floor. the coefficient of kinetic friction between the box and the floor is 0.23. what is the boxes launch speed

Answers

The launch speed of the box is approximately 6 m/s. To find the launch speed of the box, follow these steps:

1. Calculate the elastic potential energy (PE) stored in the spring when it's compressed by 20 cm (0.2 m):

\(PE = (1/2) * k * x^2\)

\(PE = (1/2) * 270 N/m * (0.2 m)^2\)

\(PE = 5.4 J (joules)\)

2. Calculate the work done by friction (W) as the box slides across the floor:

W = friction force * distance

W = (coefficient of kinetic friction * normal force) * distance

Since the box is on a horizontal floor, the normal force equals the gravitational force on the box:

Fg = m * g

where m is the mass of the box and g is the acceleration due to gravity (approximately 9.81 m/s^2).

\(W = (0.23 * m * g) * distance\)

3. Apply the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy (KE):

\(W = KE_final - KE_initial\)

Since the box starts from rest, KE_initial = 0. So,

\(W = KE_final\)

\(KE_final = 1/2 * m * v^2,\) where v is the launch speed.

4. Equate the work done by friction to the elastic potential energy and solve for v:

\(5.4 J = 1/2 * (0.3 kg) * v^2\)

\(v^2 = (5.4 J * 2) / 0.3 kg\)

\(v^2 ≈ 36\)

\(v ≈ 6 m/s\)

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Other Questions
Scenario: You are working as a mobile app developer for a company and have been assigned to design the user interface (UI) for your companys mobile app. According to your boss, the UI should look something like the following:Your mobile app UI should have the following labels and textboxes:Customer NameCustomer IDCustomer AddressThe mobile app UI should also contain a Submit button. The following validation should be executed as soon as the user clicks the Submit button:Customer ID should be between 01000. If the user enters any value above 1,000, then you need to display an error message.Customer Name should not contain any numeric characters. If the user enters customer name with numbers, then display an error message.Customer ID, Name, and Address are required fields. If the user does not enter any of the values, then display the required field validation error message.Once you build the UI, create an additional screen that shows the following things:Customer OrderID(Label):__________Order_Name(Label):__________Order_Quantity:_____________Order_FullfilledBy:____________You need to submit the following items in a zip file:Android ProjectOutput screenshotsPart 2Scenario: You recently started working in at a university's math department as a software programmer. You need to build an app that can calculate the mod of two numbers. Users need to enter num1 and num2. The app should perform the calculation and display the output as num1 mod nub2 operation.For example:25 mod 5=024 mod 5 = 4Once you implement the mod operations, you need to add the following buttons:AdditionSubtractionDivisionPowerDo the following steps to complete the lab:Create the Android Studio project.Use the Android Studio layout editor.Add textboxes and labels according to the UI.Add button in the UI.Review the XML code of the design.Declare the variable before the oncreate function.Read the value from textboxes, and assign it to the variable.Add the click event for the button.Display the output.Declare the variable before the oncreate function. the number and magnitude of decisions and problems that must be addressed during an emergency are a direct outgrowth of: a. the size of the decision-making group. b. decisions that were or were not made during the planning process. c. the length of the execution phase of the decision-making cycle. d. the steps of the problem-solving model. Un dilogo tomando en cuenta la estructura de una conversacin y mxima de cooperacin y corteza Sally can paint a room in 8 hours while it takes Steve 6 hours what is the definition for the term Resistance? Calculating comparative advantage between two trading partners from specialization. The circular flow diagram, especially the roles of the factor and goods markets. um i still dont get this How many different license plates are possible if each plate contains a group of 6 letters and/or numbers?Assume the letters can only be uppercase letters. how much time will pass when it goes from one-half initial voltage to one-fourth its initial voltage what is the area of the real object that the scale drawing models? The intention of the homestead act was to provide undeveloped land as a solution to economic challenges that many faced in the united states which of he following was a flaw in the act?A The homestead did not allow women, africain americans, or immagrants to aquire land B people could acquire land but could not afford necessary tools C land available was not fertile D railroad companies and corporations acquired land under false pretenses to further profits What is the five-step marketing research approach leading tomarketing actions? Please explain each one . (Word limit: 200words) In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?(x8)2+(y5)2=81 (x8)2+(y5)2=9 (x+8)2+(y+5)2=81 (x+8)2+(y+5)2=9 (x+5)2+(y+8)2=81 b) Taxi fares cost 30% more at night.How much does a $9 daytime journey cost at night? explain your choice of monologue/duologue.[3]briefly analyse the character you will be portraying. Consider the following in your answer:Character sketchAge, status, job description, male/female, mannerisms unique to the character. [4] at what angle should the roadway on a curve with a 50 m radius be banked to allow cars to negotiate the curve at 15 m s even if the roadway is icy and the frictional force is zero Fully explain two different ways you could use transformations to go from shape a to shape B HELP PLEASEEEFind the area of the parallelogram below by using the area formulas for rectangles and triangles.a = 8 cm, b = 12 cm, and c = 4 cm*picture not drawn to scale A. 64 cm2 B. 96 cm2 C. 104 cm2 D. 32 cm2 y is directly proportional to 1 over the square root of x if y = 7 when x = 36 find y when x = 4 what is the missing number ?1 4/12 + 6/? =2