2. A brick is sitting on a building 22 m high. It has a mass of 7.9 kg. What amount of potential
energy does it have?
F:
R:
G:
S:

Answers

Answer 1

Answer:

1703.24J

Explanation:

Given parameters:

Mass of brick  = 7.9kg

Height of building  = 22m

Unknown:

Potential energy of the brick  = ?

Solution:

The potential energy of a body is the energy at rest of the body. Mathematically;

 

         P.E = mgh

m is the mass of the brick

g is the acceleration due to gravity

h is the height of the building

  Insert the given parameters and solve;

        P.E  = 7.9 x 9.8 x 22  = 1703.24J


Related Questions

Write a message to Mr. Chang explaining why the groundwater heating system will warm the school more than the water heater system. Use evidence to support your claim. For each piece of evidence you use, explain how the evidence supports your claim.

Answers

Answer:

For, heating purposes more the quantity of  water more will be the heating. Clearly, underground heating would have more water and hence, it will have edge over the  water heater system.

Moreover, for things at the same temperature, the thing with more molecules has more total kinetic energy (thermal energy) than the thing with fewer molecules. The groundwater heating system uses heat from the heat stored naturally in groundwater or aquifers. Thus, saving the cost of power required to heat in normal water heater.

Explanation:

The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system.

Based on the complete question, it should be noted that the addition of energy leads to an increase in motion which results in the rise in temperature.

The groundwater heating system will warm the school more than the water heater system due to the fact that it uses more water more than the other system even though its water isn't as warm as in the other system.

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what is the half-life of lithium-8 if the decay constant is 0.825/s? what is the half-life of lithium-8 if the decay constant is 0.825/s? A. 0.572s B. 2.42s
C. 1.19s
D. 0.840s

Answers

0.840s is the half-life of lithium-8 if the decay constant is 0.825/s. The decay constant is unique to each radioactive substance and measures the speed of radioactive decay. Therefore, the correct answer is option D.

The half-life of lithium-8 can be calculated using the formula:

\(t1/2 = ln(2) / \lambda\)

Where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant. Substituting the given decay constant of 0.825/s into the formula:

t1/2 = ln(2) / 0.825/s

t1/2 ≈ 0.840s

Therefore, the half-life of lithium-8 is approximately 0.840s. The formula for half-life is a fundamental concept in nuclear physics, which determines the time required for a radioactive substance to decay by half of its original quantity. The decay constant, which is specific to each radioactive substance, measures the rate at which radioactive decay occurs.

The higher the decay constant, the shorter the half-life, indicating that the substance is more unstable and decays faster. In this case, the decay constant of lithium-8 is 0.825/s, indicating that it is relatively unstable and has a short half-life of approximately 0.840s.

In summary, the half-life of lithium-8 is approximately 0.840s with a decay constant of 0.825/s. Therefore, the correct answer is option D.

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useful and inconvenience of frictional force of a soccor player running with soccer boots

Answers

They are useful in providing larger frictional force.

The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.

The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest impact on these forces.

Football shoes have spikes or studs because they offer more frictional force when running on grass than regular shoes do.

The studs make it easier for players to move faster and change directions rapidly without slipping while also preventing them from slipping on the grass.

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A student mixes two substances in a large beaker. After two hours, the student sees that the substances have separated again.

Answers

The full question is found in the image attached

Answer:

Densities

Explanation:

When we talk about density, one of the things that come to our mind is actually how heavy something is.

If i have substances that possess different densities, i will notice that i can not really mix them because they will separate and the heavier substance will be at the bottom while the lighter substance will be at the top.

Hence the two substances separated due to difference in density.

A student mixes two substances in a large beaker. After two hours, the student sees that the substances

If the charge 16 C flows through the lightening during time 0.002 s then the AVERAGE current is equal to

80 A
8000 A
80000 A
0 A
Other:

Answers

Answer:

the average current is 8000 A

Explanation:

I got it answered by an expert

A bat is used to exert an impulse on a baseball. The mass of the bat is 2 kg and the mass of the ball is 0.25 kg. Compared to the impulse exerted by the bat on the ball, the impulse exerted by the ball on the bat is ___________.

Answers

The impulse exerted by the ball on the bat is THE SAME

how does the current i measured at the time equal to one time constant after the switch in the rl circuit is closed, compare to the maximum current imax ? group of answer choices

Answers

The correct option is D, the current I in it compare to the maximum current I(max) that occurs for this circuit is I > Imax/2.

An RL circuit is a type of electrical circuit that contains both a resistor (R) and an inductor (L). In an RL circuit, the inductor resists changes in the electrical current flowing through the circuit, while the resistor resists the flow of electrical current. When a voltage is applied to the circuit, it causes an electrical current to flow through the inductor, which in turn creates a magnetic field.

The magnetic field then induces a voltage in the inductor that opposes the change in current, causing the current to increase gradually over time. The rate at which the current increases is determined by the inductance of the circuit and the resistance of the resistor. RL circuits are commonly used in electronic devices such as filters, transformers, and voltage regulators.

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Complete Question:-

One time constant after an RL circuit has its switch closed, how does the current I in it compare to the maximum current I(max) that occurs for this circuit?

a. I = Imax/2

b. Without knowing R and L, this cannot be determined.

c. I < Imax/2

d. I > Imax/2

if a star is found by spectroscopic observations to be about 500 parsecs distant, its parallax is:

Answers

If a star is found to be about 500 parsecs distant based on spectroscopic observations, its parallax is 0.002 arcseconds.

The parallax of the given stare can be calculated using the relationship between parallax and distance. Parallax is the apparent shift in a star's position as observed from Earth when viewed six months apart. It is measured in arcseconds (") and helps astronomers determine the distance of celestial objects.

The formula to convert distance in parsecs to parallax is:

Parallax (") = 1 / Distance (parsecs)

In this case, the distance is given as 500 parsecs. Plugging this value into the formula:

Parallax (") = 1 / 500
Parallax (") ≈ 0.002 arcseconds

So, the parallax of a star found to be 500 parsecs away through spectroscopic observations is approximately 0.002 arcseconds. This small parallax value indicates that the star is indeed quite distant, as objects closer to Earth would have a larger parallax value. The method of using parallax is a crucial tool for astronomers to accurately measure distances to nearby stars, contributing to our understanding of the Universe's structure and scale.

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Explain how the scenario below illustrates a lack of understanding of the importance of quality control.

Situation: Tomas is the manager of a local restaurant.

Tomas: “The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch.”

Answers

Answer:

He is being careless.

Explanation:

he is trying to "get rid" of one problem so he can tackle another. This is food though, and you have customers to serve. You also have to be careful about food poisoning.

12. A 10 mH inductor and a 100 a resistor are connected in parallel. The circuit is supplied with 24 VAC

2,000 Hz. What's the impedance (rounded) of the circuit?

A. 57.382

B. 108.7122

C. 78.23 22

D. 98.16 22

Answers

The impedance of the given AC circuit containing resistor and inductor parallel to each other is 55.71 ohms.

The given parameters;

inductance of the inductor, L = 10 mHresistance of the resistor, R = 100 ohms

The inductive reactance is calculated as follows;

\(\omega _l = 2\pi fl\\\\\omega _l = 2\times 3.142 \times 2,000\times 10\times 10^{-3} = 125.68 \ ohms\)

The impedance is the total opposition to the flow of current in the AC circuit and it is calculated as follows;

\(Z _{total} = \frac{1}{\frac{1}{Z_l} + \frac{1}{Z_R} } \\\\Z _{total} = \frac{1}{\frac{1}{125.68} + \frac{1}{100} }\\\\Z _{total} = 55.71 \ ohms\)

Thus, the impedance of the given circuit is 55.71 ohms.

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ice-making machines are the same as ice-holding machines such as those seen on the outside of a convenience store or service station. a. true b. false

Answers

ice-making machines are the same as ice-holding machines such as those seen on the outside of a convenience store or service station. this statement is false

Ice-holding machines are not the same as ice-making equipment. As the name implies, ice-making devices are made to make ice. To produce ice cubes or crushed ice, they employ a variety of technologies, such as freezing water or using refrigeration methods.

On the other hand, pre-made ice is stored and distributed using ice-holding machines, which are often situated outside of convenience shops or gas stations. These devices don't make ice; instead, they keep a supply of it on hand for consumers to buy or use.

Ice-making machines make ice, whilst ice-holding machines store and disperse pre-made ice. Despite having a connection to ice, these devices have different functions.

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When a 2.6 kg rock is thrown horizontally
with an initial velocity of 12 m/s off a 80 m
high cliff, where will it land (what is the
range)?
a. 24 m
b. 31.2 m
C. 48 m
d. 256 m

Answers

Answer: A stone is thrown horizontally at 15 m/s from the top of a cliff 44 ... A steel ball rolls with constant velocity across a tabletop 0.950 m high. ... b. How long did it take the ball to return to the launching height? c. ... A ball is launched with an initial velocity of 4.47 m/s at an angle of ... C. How far away did it land? 5

Explanation: its b

a proton is incident upon a potential barrier of 50 ev height and a thickness of 2.0 nm. find the lowest incident kinetic energy greater than 50 ev for which the transmission probability is unity (no reflected wave).

Answers

The lowest incident kinetic energy is 50.0000125 ev

What is kinetic energy?

The energy an object has as a result of motion is known as kinetic energy.

A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass and speed attained.

The transmission probability of a particle in finite square well potential is

T = 1 / 1 + \(v_{0}\)² / 4 E( \(v_{0}\) - E) sin²βL

E is incident KE

And β = √2m ( E - \(v_{0}\) ) / h²

there is no reflection therefore R = 0 and T = 1

1 / 1 + \(v_{0}\)² / 4 E( \(v_{0}\) - E) sin²βL = 1

[ 1 +  \(v_{0}\)² / 4 E( \(v_{0}\) - E) sin²βL ] = 1

\(v_{0}\)² / 4 E( \(v_{0}\) - E) sin² (βL) = 0

sin² (βL) = 0

sin² (βL) = sin²(nπ)

For lowest KE n =1

βL = π

β = π / L

√2m ( E - \(v_{0}\) ) / h² = π / L

squaring both sides

2m ( E - \(v_{0}\) ) / h² = π² / L²

( E) = π² h² / 2mL² + \(v_{0}\)

Given width L = 2nm

π² h² / 2mL²

= π² × (1.05 × 10 -34 js )² / 2 × 1.67 × 10 -27 kg × ( 2 × 10-9 m)²

= 0.82 × 10 -23 j

since 1ev = 1.6 × 10 -19 j

π² h² / 2mL²

= 0.82 × 10 -23 / 1.6 × 10 -19

= 0.15 × 10 -4 ev

so incident kinetic energy is

( E) = π² h² / 2 mL² + \(v_{0}\)

= 0.15 × 10 -4 ev + 50 ev

= 50.0000125 ev >  \(v_{0}\)

you can't ignore this energy at quantum level.

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Name two ways to decrease the electric force between two charged objects.

Answers

Answer:

Inverse relationships are common in nature. In electrostatics, the electrical force between two charged objects is inversely related to the distance of separation between the two objects. Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.

Explanation:

Two ways to decrease the electric force between two charged objects:

by lessen charge of the test objects.by increasing distance between test change and source charge.What is coulomb force?

As a result of their electric charge, particles or objects are attracted to or repelled by the Coulomb force, also known as electrostatic force or Coulomb interaction. Charles-Augustin de Coulomb, a French scientist who published the findings of an experimental inquiry into the proper quantitative description of this force in 1785, gave the electric force its name. The electric force is one of the fundamental physical forces.

Positive or negative electric charges that are similar to one another repel one another in a straight line between their centers. Positive and negative charges that are opposite each other are drawn together along a straight line connecting their centers.

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solid. 7. A gold smith claims that an ornament is made of pure gold of density 19.32 g/cm³. A chain made from this gold weighs 25.25 g. The apparent weight of the chain when immersed in water is 23.075 g. Using a suitable calculation, determine the purity of gold.​

Answers

Answer:

Wc - Ws = 25.25 - 23.075 = 2.175    weight of water displaced

Since water has a density of 1 means the chain has a volume of 2.175 cm^3

The density of the chain is M / V = 25.25 g / 2.175 cm^3

ρc = 11.6    which is less than pure gold of 19.32

This is all that one can say about the purity of gold in the chain because one does not know the density of other material in the chain.

That means that one does not know how much pure gold is actually in the chain without knowing the density of the rest of the chain.

The purity of gold in the ornament is approximately 99.95% which is determined by the Archimedes principle.

The apparent weight of the chain in water is less than its actual weight due to the buoyant force acting on it.

The volume of the chain.

Density of gold = 19.32 g/cm³

Weight of the chain = 25.25 g

Volume of the chain = W ÷ d

Volume of the chain = 25.25 ÷ 19.32

Volume of the chain = 1.307 cm³

The volume of water displaced.

The apparent weight of the chain in water = 23.075 g

Volume of water displaced = 25.25 - 23.075

Volume of water displaced = 2.175 g

The density of the chain is:

Density of the chain = 25.25 ÷ 1.307

Density of the chain = 19.33 g/cm³

The purity of gold.

Purity of gold = (19.32 ÷ 19.33 ) × 100

Purity of gold = 99.95%

Therefore, The purity of gold in the ornament is approximately 99.95%.

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2. What do developmental psychologists study?

Answers

Answer:     Developmental psychologists study human growth and development over the lifespan, including physical, cognitive, social, intellectual, perceptual, personality and emotional growth.

Explanation:

SOMEONEEEE HELP ME PLEASE ILL MARK YOUR BRAINLIST !!!

SOMEONEEEE HELP ME PLEASE ILL MARK YOUR BRAINLIST !!!

Answers

This was kinda hard thinking it might be that the new force is going to 4 times bigger than the original one.

A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.

Answers

One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.

To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.

Calculate the total surface area required:

Total surface area = Design flow rate / Design loading rate

Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)

Total surface area = 18.67 m²

Determine the number of filter boxes required:

Number of filter boxes = Total surface area / Maximum surface area per filter box

Number of filter boxes = 18.67 m² / 50 m²

Number of filter boxes = 0.37 (round up to the nearest whole number)

Number of filter boxes = 1 (since we cannot have a fraction of a filter box)

Therefore, one filter box will be required to meet the design loading rate.

To check the design loading with one filter box out of service, we need to recalculate the loading rate:

Calculate the new design loading rate:

New design loading rate = Design flow rate / (Number of filter boxes - 1)

New design loading rate = 1.2 m³/s / (1 - 1)

New design loading rate = Undefined

Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.

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It takes 77.4 N to push a 43.8 kg
crate at a constant speed across
flat ground. What is the
coefficient of kinetic friction?
(No unit)

Answers

Answer:

0.180

Explanation:

(Applied Force) / (Weight) = Coefficient of kinetic friction

(77.4 N) / (43.8 kg * 9.81 m/s/s) = 0.180

.180 is indeed the correct answer for acellus

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

well first u divide the numbers

the light cone, built of light paths, with 45 degree tilt, is a boundary in spacetime relative to your position at u.

Answers

The light cone, built of light paths, with 45 degree tilt, Therefore, boundary in spacetime  will berelative to your position at u.

The concept of a light cone is a fundamental aspect of spacetime geometry in relativity. It represents the region of spacetime that can be causally influenced by an event or point in spacetime. A light cone is constructed by considering all possible paths that light can take from the event, extending both into the future and the past. When we say the light cone has a 45-degree tilt, it means that the cone is symmetrical and expands equally in all directions. This tilt is relative to your position at the "u.e" (unspecified event), which serves as the origin of the cone. In other words, the light cone encompasses all events that can be reached by a light signal emitted from the event at the "u.e" and traveling at the speed of light.

The boundary of the light cone separates events that are causally connected to the "u.e" from those that are not. The inside of the cone represents events that can be influenced by the "u.e," whereas the outside represents events that are beyond the reach of any signals emitted from the "u.e."

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When the Milky Way Galaxy and the Andromeda Galaxy are 3 times closer to one another, the gravitational force between them will become

Answers

Answer:

the gravitational force between them will become Answer 9 times stronger

Explanation:

because the gravitational force is inversely proportional to  the square of the distance between the two objects.

An object needs a force of 152 Newtrons to move 8 meters. How much work is required?

Answers

Answer:

960J

Explanation:

Given parameters:

Force  = 120N

Distance = 8m

Unknown:

Work required  = ?

Solution:

The work done by a body is the force applied to move a body in a specific direction.

 Work done  = Force x distance

Insert the parameters and solve;

  Work done  = 120  x  8  = 960J

Give two hazards associated with space exploration

Answers

The two constraints are 1. Radiation Exposure, 2. Mechanical Failure, the explanation can be seen below.

Hazards associated with space exploration

​Space exploration involves frequent trips to and from Earth, which exposes astronauts to high levels of radiation that can damage cells, increase the risk of cancer, and cause other health issues.

Moreso, space exploration involves complex machinery that is highly susceptible to mechanical failure due to the extreme conditions of space. Malfunctioning equipment can result in catastrophic injury or death to astronauts.

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The asteroid or comet that killed the dinosaurs was probably about how large in diameter?

Answers

Thought to have been between 10 and 15 kilometers broad, the asteroid's speed during the encounter created the second-largest crater on the planet, which is now 150 kilometers in diameter.

Large, stony rocks called asteroids orbit the Sun. Their diameter ranges from a few to several hundred meters. A meteorite is any piece of an asteroid that survives impact with our planet. The most widely recognized idea for the catastrophic extinction at the end of the Mesozoic Era is the Alvarez hypothesis, which at first caused controversy.

Paul asserts, "Since we've located the crater, we have pretty strong evidence supporting an asteroid impact. It is currently mostly submerged on the ocean floor off the coast of Mexico.

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what equation demonstrates the law of conservation of mass

Answers

Answer:sorry i am only in 6 grade but this is a explanation

Explanation:Matter cannot be created or destroyed in chemical reactions. This is the law of conservation of mass. In every chemical reaction, the same mass of matter must end up in the products as started in the reactants. Balanced chemical equations show that mass is conserved in chemical reactions.

I
dont know how they got to the answer.
Which hydrogen transition represents the ABSORPTION of a photon in the UV portion of the electromagnetic spectrum? A. n= 4 to n=1 B. n= = 2 to n=3 C. n=3 to n= 5 D. n=3 to n=2 E. n=1 to n = 4 Which

Answers

The hydrogen transition that represents the absorption of a photon in the UV portion of the electromagnetic spectrum is Option E: n=1 to n=4.

In the hydrogen atom, the energy levels of the electrons are quantized, and transitions between these energy levels result in the emission or absorption of photons. The energy of a photon is directly related to the difference in energy between the initial and final states of the electron.

In this case, the transition from n=1 to n=4 represents the absorption of a photon in the UV portion of the electromagnetic spectrum. When an electron in the hydrogen atom absorbs a photon, it gains energy and jumps from the ground state (n=1) to the higher energy state (n=4). This transition corresponds to the absorption of UV light.

The energy of the photon absorbed is equal to the difference in energy between the n=4 and n=1 levels. The energy difference increases as the electron transitions to higher energy levels, which corresponds to shorter wavelengths in the UV portion of the electromagnetic spectrum.

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i points A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T -2were is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? When showing your work to turn in, make sure to show that you found the unit of k using dimensional analysis rather than by looking it up. Show (in the work you turn in) that this is equivalent to the units of N/m. This answer has not been graded yet. 2 2- 2 づ丁2- .C

Answers

Question 1

T=2*pi*sqrt(m/k) 

dimension of T=sec

dimension of 2*pi=nil(dimensionless)

dimension of m=kg

equation dimension

sec=sqrt(kg/k)

sec^2=kg/k

k=kg/sec^2

so dimension of k will be 

MT^(-2) 

dimension of N/m=kgms^(-2)/m=kgs^(-2) so it is same 

Question 2

F=Gm1*m2/r^2

Dimension of F=MLT^(-2)

MLT^(-2)=G*M*M/L^2

G=ML^3T^(-2)/M^2=M^(-1)L^(3)T^(-2)

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i points A spring is hanging down from the ceiling, and an object of mass m is attached to the free end.

Question 5
Calculate the kinetic energy of a car (m - 800 kg) moving at 15 m/s. Write your answer to the nearest whole number in the blank space
provided. Only write the numerical value of the answer without units. Do not leave any space in between numbers.
Answer: Joules


Answers

Answer:

90,000

Explanation:

\(m =800kg\\v = 15\\\\K.E = \frac{1}{2}mv^2\\ K.E= \frac{1}{2} \times 800\times 15^2\\= 400 \times 225\\= 90000 joules\\= 90 kilojoules\)

Jennifer wears a black shirt on a sunny summer day. After spending one hour outdoors, Jennifer notices that the shirt is much warmer than it was originally. What role did sunlight play in warming the shirt

Answers

Explanation:

Black or Dark color clothes are good absorbers of heat. The heat from the sun is absorbed by the black shirt, thus making the shirt warmer. The sunlight here is source of heat. The amount of heat absorbed can be calculated according to the stephan's law.

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PLEASE HELP!!!!!! WHATS THE ANSWER Question 18 Clarifying decision authority is important to establishing strategic intent and leading change. Explain how, as a business leader, you would use the acronym RAPID to help you decide if your workforce should return to your corporate headquarters at least four days a week, or if you will make teleworking a permanent option for all employees.Question 17 Briefly define or explain five of the eight terms or phrases shown below (as they relate to our Leadership Course). (Pick five, 4 points each) 1. Guiding Coalition 2. SMART 3. Kludging 4. TMT (Transition Management Team) 5. Power Distance 6. Optimism and Reality 7. Humble, Hungry, and Smart 8. Individualism vs Collectivism WILL GIVE BRAINLIEST... ONLY HAVE 5 MINUTES TO ANSWER CLAIMA wave you see or feel is the result of... 16 is 25% of what number? When did neocolonialism start in latin america. please help me write quadratic equation given the roots and the leading coefficient Melissa finished learning about how some employers exploit children by making them work for little money. She is sad and wants to find a way to help make their lives better.In this context, what is the meaning of the homograph exploit? aTo improve someone's life bTo marvel at someone's tricks cTo use someone unfairly dTo wish to help someone (3x-2)(2x2+5x-1) what is not equivalent to the product The following question references the novel The Call of the Wild by Jack London.What task does Buck perform that earns John Thornton $1600?a. He pulls a 1,000 lb. Sled.c.He wins a fight against a black bear.b.He takes a sled all the way to Dawson City by himself.d.He discovers a mine full of gold nuggets. which of the following is a set of clear, consistent, and specific attributes or characteristics that define your company in the consumers mind? Compare and contrast Washington's advice in the three sections. How are his claims on unity, political parties, and alliances similar? How are his claims different? what type of object can ground static assume sony uses a periodic inventory system. beginning inventory on january 1 was understated by $30,800, and its ending inventory on december 31 was understated by $15,400. in addition, a purchase of merchandise costing $21,700 was incorrectly recorded as a $2,170 purchase. none of these errors were discovered until the next year. as a result, sony's cost of goods sold for this year was: What are two common key concepts between Christianity and judaism? Neha drives a car that gets 25 miles per gallon when she is driving in the city and 40 miles pergallon when she is driving on the highway. Her car's fuel tank will hold 15 gallons of gas. Whatequation can we write to represent all the combinations of city miles and highway miles she candrive on one tank of gas?1. Record an equation that is a prediction. Alisha has 3 pizzas she is serving each person at party 1/4 of a pizza how many people can she serve at the party Which of the following roles is not performed by the rough endoplasmic reticulum nor the smooth endoplasmic reticulum?lipid productiondetoxification of poisonsDNA productionvesicle formation for transport to the Golgi apparatus if a transformer has a turns ratio of 1:4 and 115 v is applied to the primary, how many volts are on the secondary? Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is not a right triangle. Write numbers 1-4 to order the steps. 16 + 25 = 49 a2 + b2 = c2 41 49 42 + 52 = 72Therefore, triangle ABC is not a right triangle. What do interior designers do? (IN YOUR IWN WORDS PLS)