Use Newton’s laws of motion to explain why it is important that baseballs and softballs each have a small acceptable range of masses.

Answers

Answer 1

The motion of baseballs and softballs is governed by Newton's principles of motion.

The first law, also known as the law of inertia, states that unless acted upon by an external force, an object at rest will stay at rest and an object in motion will remain in motion at a constant velocity. This implies that the ball's mass influences its resistance to change in motion. The greater the mass of the ball, the more energy is needed to accelerate or stop it.

According to the second law, an object's acceleration is directly proportional to the net force exerted on it and inversely proportional to its mass. This implies that a given force will cause a lighter object to accelerate faster than a heavier object.

According to the third rule, every action has an equal and opposite reaction. This means that the force applied on the ball is also exerted back on the hitter or pitcher, but in the opposite direction.

Based on these laws, baseballs and softballs must have a small acceptable range of masses so that they can be struck or thrown with comparable forces and achieve comparable velocities and distances.

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Related Questions



If a flea can jump straight up to a height of 0.350 m, what is its initial speed as it leaves the ground?

Answers

Answer:

To solve this problem, we can use the fact that the flea's initial kinetic energy is converted entirely into potential energy at the top of the jump. Using conservation of energy, we can set the initial kinetic energy equal to the potential energy at the maximum height:

(1/2)mv^2 = mgh

where m is the mass of the flea, v is its initial velocity, g is the acceleration due to gravity, and h is the maximum height of the jump.

We can solve for v:

v = sqrt(2gh)

where we substitute the given values:

v = sqrt(29.8 m/s^20.350 m) ≈ 2.65 m/s

So the flea's initial speed as it leaves the ground is approximately 2.65 m/s.

Explanation:

Which of the following is the process of making a new product to be sold by a business or enterprise to its customers? a.product analysis
b.product conceptualization
c.product development
d.product implementation

Answers

Answer: option (c)

Explanation:

Product development is also known as new product operation.

The main ideal is to satisfy the consumer demand.

There are some stages of product development process. They're idea generation, webbing, conception development and testing, request strategy, developing the new product, request testing, request commercialization.

The process of developing a product is managed by product inventor.

Product development can be done in two ways, the new product is introduced or the being products can be bettered according to the client satisfaction.

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Which types of decay will cause the mass number a of a nucleus to change? select all that apply.

Answers

Nuclear decay is the type of decay that causes the mass number of a nucleus to change.

In the field of science, a mass number can be described as the number of neutrons as well as the number of protons in an atom.

Nuclear decay can be described as a process by which an unstable atom splits into two atoms in order to get stable. For such a process, the proton and neutron numbers in the nucleus will change. This is because the unstable element is splitting into a new stable element. Hence, we can say that nuclear decay is a process in which the mass number of an atom is subjected to change.

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A bicyclist, traveling with a constant speed, covers 43.0m in 7.90s. Determine all unknowns.

Answers

Answer:

5.4m/s

Explanation:

Given parameters:

Distance  = 43m

Time  = 7.9s

Unknown:

Speed  = ?

Solution:

Speed is mathematically expressed as;

     Speed  = \(\frac{distance}{time }\)  

Insert the parameters and solve;

   Speed  = \(\frac{43}{7.9}\)   = 5.4m/s

density of certain liquid is2.4 g/cc. calculate the mass of 100cc of such liquid​

Answers

Answer:

Explanation:

Density = mass / volume

density = 2.4

volume = 100 cm^3

2.4 = m / 100     Multiply both sides by 100

2.4 * 100 = m

m = 240 grams

what will be the mass of a planet whose radius is 20% of the radius of earth.with explanation please dont just give straight answer

Answers

Answer:

5/8 times that on the surface of the earth or 2.41 × 10^23 kg

A 30 kg dog runs at a speed of 15
What is the dog's kinetic energy?

Answers

Ke= 1/2 mv ^ 2
15x 15 = 225
225 x 30 = 6750
6750/2 = 3375 J
Ke = 3375 J

Which force results from charged particles

Answers

Electrical force.
Hope that helped.

Answer:

electromagnetic force

Explanation:

Two cars bump going the same direction and stick together. Car A has a mass of 1000kg car B has a mass of 2000kg. What the speed of the cars after the collision?

Answers

Answer:

I belive that the 2000 kg will be going faster then the 1000kg

Explanation:

Because it is 2x as heavy as the other car which means it most likely would hit the car and keep going because it can hit it so hard that the car dosent hit effected

Skin cells have the function of protecting the body. What is the function of muscle cells?

Answers

Answer:

Skin serves as a protective barrier, a way to sense the world, and a layer that keeps nutrients and water inside the body. Four types of cells make up the skin, and they are produced mainly in the epidermis near the basement membrane. Keratinocytes contain structural keratin and make up the bulk of the epidermis.

Explanation:

what physical properties does krypton have

Answers

Answer:

Image result for what physical properties does krypton have

Krypton is a colorless, odorless gas. It has a boiling point of -152.9°C (-243.2°F) and a density of 3.64 grams per liter. That makes krypton about 2.8 times as dense as air.

Explanation:

Why would you be surprised if hockey puck started moving without being hit? Why would you be surprised if a fast moving
puck suddenly stopped in the middle of the ice without being touched?
Please use scientific explanations.

Answers

Answer:

id be scared because this thing is moving by its self at an alarming rate

Explanation:

a fireman climbs a 10 m high ladder carrying a 5.9999 in diameter hose that has a 0.73 in diameter nozzle. the pump has an absolute pressure of 5 atm . what is the water velocity from the nozzle? assume that water is incompressible, its density is 1000 kg/m3 , and 1 inch

Answers

The water velocity from the nozzle is approximately 27.33 m/s.

The Bernoulli equation, which connects a fluid's pressure, velocity, and height in a system, must be used to address this issue.

Let's start by converting the hose and nozzle's diameter from inches to meters:

Hose diameter: 5.9999 in = 0.1524 m

Nozzle diameter: 0.73 in = 0.018542 m

Next, let's find the cross-sectional area of the nozzle, which we'll need for calculating the velocity of the water:

Nozzle area: A = πr = π(0.009271 m)² ≈ 0.000269 m²

Now we can use the Bernoulli equation to solve for the velocity of the water:

P + 1/2ρv² + ρgh = constant

where:

P is the absolute pressure of the water at the pump (5 atm² = 506625 Pa)

ρ is the density of the water (1000 kg/m³)

v is the velocity of the water at the nozzle (what we're solving for)

g is the acceleration due to gravity (9.81 m/s²)

h is the height difference between the pump and nozzle (10 m)

At the pump, the water is at rest, so the velocity term is 0. We'll set the constant to the pressure at the nozzle, which is the atmospheric pressure (101325 Pa).

P + 1/2ρv² + ρgh = 101325 Pa

Solving for v:

1/2ρv² = 101325 - P - ρgh

v² = 2(101325 - P - ρgh) / ρ

v = √(2(101325 - P - ρgh) / ρ)

Substituting in the values:

v = √(2(101325 - 506625 - 10009.8110) / 1000)

v ≈ 27.33 m/s

So the water velocity from the nozzle is approximately 27.33 m/s.

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The water velocity from the nozzle is approximately 15.3 m/s.

What is the velocity of water exiting the nozzle?

When a fireman climbs a 10 m high ladder carrying a hose with a 5.9999 in diameter and a 0.73 in diameter nozzle, and the pump has an absolute pressure of 5 atm, the water velocity from the nozzle can be calculated. To determine this, we can use the principles of fluid mechanics.

First, we need to convert the given diameters from inches to meters. Since 1 inch is equal to 0.0254 meters, the hose diameter is 0.1524 m, and the nozzle diameter is 0.018542 m.

The velocity of water can be determined using the Bernoulli's equation, which states that the sum of pressure, kinetic energy, and potential energy per unit volume is constant in a steady flow of an incompressible fluid. We can neglect the potential energy change since the ladder's height is relatively small compared to the diameter of the nozzle.

Applying the Bernoulli's equation, we can calculate the velocity using the formula:

(v^2)/2 + P/(ρ*g) = constant

Where:

v is the velocity of the water,

P is the absolute pressure,

ρ is the density of the water, and

g is the acceleration due to gravity.

Given that the absolute pressure is 5 atm, which is equivalent to 506625 Pa, and the density of water is 1000 kg/m^3, we can substitute these values into the equation:

(v^2)/2 + 506625/(1000*9.8) = constant

Simplifying the equation, we find:

(v^2)/2 + 5173.45 = constant

Since we are interested in the velocity of the water, we can solve for v:

(v^2)/2 = constant - 5173.45

(v^2)/2 = constant - 5173.45

v^2 = (constant - 5173.45) * 2

v = sqrt((constant - 5173.45) * 2)

Now, we can calculate the constant using the initial conditions where the fireman is at the top of the ladder:

(0^2)/2 + 506625/(1000*9.8) = constant

0 + 5173.45 = constant

Therefore, the constant is 5173.45. Substituting this value back into the equation, we have:

v = sqrt((5173.45 - 5173.45) * 2)

v = sqrt(0 * 2)

v = sqrt(0)

v = 0 m/s

This means that when the fireman reaches the top of the ladder, there is no water velocity from the nozzle since the water is not flowing yet.

In conclusion, the water velocity from the nozzle is approximately 15.3 m/s, but when the fireman reaches the top of the ladder, there is no water velocity initially. The velocity gradually increases as the water starts to flow.

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Mars, venus, and earth are much less heavily cratered than mercury and the moon. This is explained by the fact that.

Answers

On planets like Venus, Earth, and Mars do not see as many craters because most of them have been eroded away by wind, rain or volcanic activity. We do not see any craters Jupiter, Saturn, Uranus, and Neptune because there is no visible solid surface for the meteors to hit.

Craters heavily dominate the surfaces of Mercury and the Earth's Moon because both the bodies lack water on their surfaces that would erode impact craters with time. They also lack an atmosphere which could disintegrate meteoroids before they impact the surface.

As smaller planets have less gravitational pull as compared to large planets therefore impactors will strike at lower speeds. Greater is the mass of the impactor, greater is the size of crater. Craters are often circular.

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What are the two goals of the Artemis Mission?

Answers

Answer:

The Artemis program is a U.S. government-funded international human spaceflight program that has the goal of landing the first woman and the next man on the Moon, specifically at the lunar south pole region, by 2024.

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Claire lost weight thanks to the support and encouragement of her friends. They helped her stick to a healthy diet and pushed her to engage in physical exercise every day. Identify the FaceTime that helped her lose weight

Answers

Answer:

hello the options to your question is missing below are the options

culture

heredity

physical environment

social environment

answer : social environment

Explanation:

Claire ability to lose weight due to the encouragement and support of her friends shows that she was ability to achieve her goal due to her social circle ( friends ). therefore the face time that helped her lose weight is her social environment and not culture nor any other option as mentioned above.

social environments help/play a vital role in individual's life a lot as long as every human being is a social being

Which best contrasts Newton's and Einstein's ideas?
Newton believed that mass tells objects how to move. Einstein believed that the curvature of space-time tells force how to
move objects.
Newton believed that force tells mass how to move. Einstein believed that the curvature of space-time tells velocity how to
change.
Newton believed that distance tells gravity how much force to exert. Einstein believed that distance tells space-time how to
curve.
Newton believed that mass tells gravity how much force to exert. Einstein believed that mass tells space-time how to curve.

Answers

Answer:

Newton believed that mass tells gravity how much force to exert. Einstein believed that mass tells space-time how to curve.

Explanation:

Isaac Newton believed that bodies on earth had a force of gravity pulling them down as a result of their masses.

Albert Einstein believed that the bodies were not pulled down but were moving around in a circular sphere/manner.

This confirms Newton believing that mass tells gravity how much force to exert and Einstein believing that mass tells space-time how to curve.

Answer:

first one is for the assignment second is for the quiz

Explanation:

Assignment - C.

Quiz - D.

Which best contrasts Newton's and Einstein's ideas?Newton believed that mass tells objects how to move.
Which best contrasts Newton's and Einstein's ideas?Newton believed that mass tells objects how to move.

he tangent plane to the surface z= 53−x 2
−2y 2

at the point (3,2,6).

Answers

To explain the tangent plane to the surface, `z = 53 − x² − 2y²` at the point `(3, 2, 6)`, let us first determine the partial derivatives of `z` with respect to `x` and `y`.

Partial derivative of `z` with respect to `x`, `∂z/∂x = -2x`Partial derivative of `z` with respect to `y`, `∂z/∂y = -4y`Now, let's find the gradient vector `grad z` at `(3, 2, 6)` and the value of `z` at `(3, 2)`.gradient vector `grad z = (-2x, -4y, 1)`gradient vector `grad z = (-6, -8, 1)` at `(3, 2, 6)`.Value of `z` at `(3, 2)` is given by `z = 53 - 3² - 2(2)² = 39`.

Therefore, the equation of the tangent plane to the surface `

z = 53 − x² − 2y²` at `(3, 2, 6)` is:

`z - 6 = -6(x - 3) - 8(y - 2)`

which can be written as:`6x + 8y + z = 50`Thus, the equation of the tangent plane to the surface `z = 53 − x² − 2y²` at the point `(3, 2, 6)` is `6x + 8y + z = 50`.

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1.The distance moved by objects in a given interval of time can help us to decide which one is faster or slower. Do you agree with this statement?

Answers

Answer:

The rate of change of distance is defined as speed.

Explanation:

The speed is defined as the rate of change of distance.

Speed = distance/ time

When we know the distance and the time, we get the value of speed. So, e know that who is moving fast or slow.

hen a graph is pltted beteen the distance and time, the slope of the graph gives the value of speed. So, by checking the slopes, hoseslope ismore, the speed is more and thusit is moving faster.

So, i agree with the statement.  

What is the self-inductance in a coil that experiences a 2.30-V induced emf when the current is changing at a rate of 160 A/s?
A. 3.68E+1 H

B. 160 H

C. 3.31E–2 H

D. 1.44E–2 H

E. 6.96E–1 H

Answers

Answer:

Explanation: I kinda think soo

An object on Earth weighs 150 N. What is its mass?
15 g
150 kg
150 g
15 kg​

Answers

Answer:

15kg

Explanation:

mass = weight / gravitational field strength

mass = 150 / 9.8 = 15kg (nearest whole no)

The mass of the object on earth whose weight is 150 N will be 15.3 Kg

What is Mass?

Mass is the amount of matter present inside a body. It is defined as the product of density and volume. It remains constant through out the universe. Mathematically -

M = ρV

where -

M is Mass

ρ is density

V is volume

Given is your weight on earth which is equivalent to 150 N.

We know that the weight of of an object is a force exerted by the earth towards its center. It can be written as -

W = mg

Weight of the object = [W] = 150 N

Acceleration due to gravity on earth = [g] = 9.8 m/s²

Substituting the values -

150 = m x 9.8

m = 150/9.8

m = 15.3 Kg

Therefore, the mass of the object on earth whose weight is 150 N will be 15.3 Kg.

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When a 20. 0-ohm resistor is connected across the terminals of a 12. 0-v battery, the terminal voltage of the battery falls 0. 30 v. what is the internal resistance of this battery

Answers

Answer:

.513 Ω

Explanation:

The current through the 20 Ω load can be found to be

  (12-.3) v / 20 Ω  = .585 A

This current also flows through the internal resistance and produces the .3 v drop across this resistor

V/I  = R

.3 v / .585 A = .513 Ω  internal resistance

What is the translational kinetic energy, in MeV, of a proton moving at 0.54 of the speed of light ?

Answers

We would apply the relativistic kinetic energy formula which is expressed as

KE = (y - 1)mc^2 = [1/√(1 - v^2/c^2 - 1]mc^2

where

m is the mass of proton

c is the speed of light

v is the speed of the proton

From the information given,

m = 1.67 x 10^-27 kg

c = 3 x 10^8 m/s

v = 0.54c

Thus,

KE = 1.67 x 10^-27 x (3 x 10^8)^2[1/√(1 - (0.54c/c)^2 - 1]

KE = 28.27 x 10^-12 J

We would convert from joules to mev

1 J = 6,241,509,343,260 MeV

28.27 x 10^-12 = 28.27 x 10^-12 x 6,241,509,343,260

KE = 176.48 Mev

the translational kinetic energy is 176.48 Mev

Two double bonds means that the total number of electrons being shared in the molecule is

Answers

One double bond consists 4 electrons, so 2 double bonds means 8 electrons

Answer: 8 electrons

Explanation:edg

Collision 1: Blue Cart Initially at Rest Set the initial blue cart velocity to 0 m/s. Set the mass values to different values. Run the simulation and record the mass and velocity values. Before Collision After Collision mRed = _________ kg mBlue = _________ kg Use mass and velocity values to complete the following momentum table. Before Collision After Collision ∆Momentum Red Cart ________kg x _______m/s = ____________kg•m/s ________kg x _______m/s = ____________kg•m/s Blue Cart ________kg x _______m/s = ____________kg•m/s ________kg x _______m/s = ____________kg•m/s

Answers

Answer:

it is very hard but i am trying to help you.

Explanation:

A constant eastward horizontal force of 70 N is applied to a 12 kg crate

Answers

Answer:

Explanation:

If you are looking for acceleration, then F = ma, where F is the force, m is the mass, and a is acceleration. The direction is eastward and we will call that positive. Therefore,

70.0 = 12a and

a = 5.8 m/s/s

a 500-gram ball moving at 15 m/s slows down uniformly until it stops. if the ball travels 15 meters, what was the average net force applied while it was coming to a stop?

Answers

The average net force applied to the ball while it was coming to a stop was -7.5 Newtons. To find the average net force applied to the ball, we can use the equation: net force = (mass x change in velocity) / time



Since the ball slows down uniformly, we can assume that its acceleration is constant, and use the following equations:
net force = (mass x change in velocity) / time
change in velocity = final velocity - initial velocity
time = (final velocity - initial velocity) / acceleration
We know that the ball's initial velocity is 15 m/s, and it comes to a stop, so its final velocity is 0 m/s. We also know that the ball travels 15 meters, so we can use the following equation to find its acceleration:
distance = (initial velocity x time) + (0.5 x acceleration x time^2)
Substituting the given values, we get:
15 = (15 x time) + (0.5 x acceleration x time^2)
Simplifying and solving for acceleration, we get:
acceleration = -15 / (2 x time^2)
Substituting this value into the equation for time, we get:
time = 1 second
Now we can plug in the values for mass, initial velocity, final velocity, and time into the equation for net force:
net force = (mass x change in velocity) / time
net force = (0.5 kg x (-15 m/s)) / 1 s
net force = -7.5 N
Therefore, the average net force applied to the ball while it was coming to a stop was -7.5 Newtons.

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A person skis down a slope with a 30.0° incline to the horizontal and height (in the vertical dimension) of 100.0 m. If the person starts from rest, how fast are they travelling when they reach the bottom of the slope? Assume the slope is frictionless. O 49.5 m/s O 44.3 m/s O 31.3 m/s O 62.6 m/s O None of the other answers

Answers

The person will be traveling at a speed of approximately 44.3 m/s when they reach the bottom of the slope. The correct option is B.

To find the speed of the person at the bottom of the slope, we can use the principle of conservation of energy. At the top of the slope, the person only has potential energy, which is given by the formula:

PE = m * g * h

where PE is the potential energy, m is the mass of the person, g is the acceleration due to gravity, and h is the height of the slope.

At the bottom of the slope, all the potential energy is converted into kinetic energy, given by the formula:

KE = (1/2) * m * v^2

where KE is the kinetic energy and v is the speed of the person.

Since energy is conserved, we can equate the potential energy at the top to the kinetic energy at the bottom:

m * g * h = (1/2) * m * v^2

Simplifying and rearranging the equation:

v = √(2 * g * h)

Substituting the given values:

v = √(2 * 9.8 m/s² * 100.0 m) ≈ 44.3 m/s

Therefore, the person will be traveling at a speed of approximately 44.3 m/s when they reach the bottom of the slope. Option B is the correct answer.

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average method and it reports the tollowing unit data tor the rorming department. Units completed in the torming department are transferred to the painting department. Production cost information for the forming department follows. . Calculate the equivalent units of production for both direct materials and conversion for the Forming department. o. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming department c. Using the weighted average method, assign costs to the forming department's output-specifically, its units transferred to painting and its endina work in brocess inventorv. Calculate the costs per equivalent unit of production for both direct materials and conversion for the For Jsing the weighted average method, assign costs to the forming department's output-specifically, its 4 d its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the equivalent units of production for both direct materials and conversion for the forming department. a. Calculate the equivalent units of production for both direct materials and conversion for the Forming departm b. Calculate the costs per equivalent unit of production for both direct materials and conversion for the Forming c. Using the weighted average method, assign costs to the forming department's output-specifically, its units tra and its ending work in process inventory. Complete this question by entering your answers in the tabs below. Calculate the costs per equivalent unit of production for both direct materials and conversion for the forming department Required information Using the weighted average method, assign costs to the forming department's output-specifically, its units trar painting and its ending work in process inventory.

Answers

Given information: The average method reports the following unit data for the forming department. Units completed in the forming department are transferred to the painting department. Production cost information for the forming department follows.

Direct materials:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Direct materials cost = $202,500

Conversion costs:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Conversion cost = $189,000

a. Calculation of equivalent units of production for both direct materials and conversion for the forming department:
Equivalent units of production = Units completed during the period + (Ending work in process inventory * Degree of completion)
Direct materials:
Equivalent units of production = 45,000 + (5,000 * 50%) = 47,500 units

Conversion costs:
Equivalent units of production = 45,000 + (5,000 * 60%) = 48,000 units

b. Calculation of the cost per equivalent unit of production for both direct materials and conversion for the forming department:
Cost per equivalent unit of production = Total cost for the period / Equivalent units of production

Direct materials:
Cost per equivalent unit of production = $202,500 / 47,500 units = $4.26 per unit

Conversion costs:
Cost per equivalent unit of production = $189,000 / 48,000 units = $3.94 per unit

c. Calculation of the cost assigned to the forming department's output using the weighted average method:
Total cost = Cost of units transferred out + Cost of ending work in process inventory
Cost of units transferred out = Number of units transferred out * Cost per equivalent unit of production
Cost of ending work in process inventory = Number of units in ending work in process inventory * Cost per equivalent unit of production

Direct materials:
Cost of units transferred out = 40,000 * $4.26 per unit = $170,400
Cost of ending work in process inventory = 5,000 * $4.26 per unit = $21,300
Total cost = $170,400 + $21,300 = $191,700

Conversion costs:
Cost of units transferred out = 40,000 * $3.94 per unit = $157,600
Cost of ending work in process inventory = 5,000 * $3.94 per unit = $19,700
Total cost = $157,600 + $19,700 = $177,300

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What is Inverse Distance Weighting?​

Answers

Answer: LOL Hello! for the third time! the answer is Inverse distance weighting (IDW) is a type of deterministic method for multivariate interpolation with a known scattered set of points. The assigned values to unknown points are calculated with a weighted average of the values available at the known points.

Explanation: ^^ Up there have a good day and hope this helps you!

Question: Hello: ) ✨What is Inverse Distance Weighting?​

Answer: a method of interpolation that estimates cell values by averaging the values of sample data points in the neighborhood of each processing cell. The closer a point is to the center of the cell being estimated, the more influence, or weight, it has in the averaging process.Inverse Distance Weighting (IDW) interpolation estimates unknown values with specifying search distance, closest points, power setting & barriers.”

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What is Inverse Distance Weighting?
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Is COD Mobile a worthwhile game?That, and let's play. Users? Determine which muscular tissue type each image below represents. Then click and drag the labels placing them in the correctcategory. Which principle does not encompass the basic goals of integrative medicine?a) Facilitate the body's innate healing abilities.b) Focus on promoting health and preventing illness, as well as treating disease.c) Establish a partnership between client and practitioner.d) Reject allopathic medicine and embrace CAM practices. What is a very integral part of our society? Hi what are you all doing love math what is this answer ?Goldbach's Conjecture Creative Commons process of assembeling a protien on the basis of information in an RNA molecule is ?????? Choose the false cognate Carpeta Msica Artstica Regla the diffrent of twice a number and 9 """Convert the losowing angle to degrees, minutes, and seconds forma = 134.1899degre""" 3 SELLERS, INARI A construction crew has repaired 1.37 miles of a hi 7.9 miles. There are m miles left to be repaired. Create an equation to show the relationship bet miles left to be repaired, m. How many miles are left to be repaired? A simple harmonic oscillator is at its maximum displacement from equilibrium. Which one of the following is also at its minimum?a. frequencyb. magnitude of accelerationc. potential energyd. speede. period Irma is using Sunny Citrus Cleaning Concentrate to clean her kitchen. The citrus-scented cleaner is really strong, so Irma needs to add water to it. To clean her counters, she mixes some of the citrus-scented cleaner and some water in a squirt bottle. To clean her floors, she mixes triple the amount of the citrus-scented cleaner and double the amount of water in a bucket. Which mixture has a stronger citrus scent? Ron wants to rent a car. He is offered two payment options, which are shown in the table. Which number line shows the number of miles that will make Option A less expensive than Option B? Daily Cost ($) 25 10 A B Payment Option A B ++ + 0 10 20 30 40 50 60 70 80 90 100 Cost per Mile ($) 0.15 0.40 011++ 0 10 20 30 40 50 60 70 80 90 100 C++ + 0 10 20 30 40 50 60 70 80 90 100 D4 0 +++ 10 20 30 40 50 60 70 80 90 100 course hero internal controls, an internal audit function, and an audit committee are all elements of a strong corporate governance system. how should an external auditor evaluate these elements in making a risk assessment? what are the ethical signs that each system is operating as intended? suppose a perfectly competitive firms demand curve is below its average total cost curve. explain the conditions under which a firm continues to produce in the short run. Please help asapThe number of people attending Convention A can be modeled byf(x) = 1200 0.95^x, where x is the number of years that the convention has beenoccurring. The number of people attending Convention B was 2200 in year 1 and 2100 in year 2. Which conventions attendance is decreasing at a greater rate? Explain your reasoning. Drag the definition to the correct termSee image for more clear instruction A model of interconnected ideas that explains what is observed and makes predictions about the future is provided by (a)n:________ A sample of blood is found to contain 64. 5 micrograms of valproic acid. How many milligrams of valproic acid does this blood sample contain The data "dat_two_sample" simulate independent, identically distributed samples from a population with the samples from in the "val" column, labeled with "gp"="x" and independent, identically distributed samples from a population with the distribution in the "val" column, labeled with "gp"="y"a. Please visually assess the Normality of the xs and the ys.b. Please display density plots of the xs and the ys.c. Please carry out Welchs test of the null hypothesis that the means of x and y are equal. Please interpret the result using the work in a and b.d. Please carry the Mann Whitney U test on x and y. Please interpret the result using the work in a-c.dat_two_sample:gp valx -2.59121x -2.58368 x -3.12271x -3.50796x -2.98956x -2.7101x -3.1648x -3.54587x -2.95342x -2.652x -2.59328x -3.34689x -1.97402x -2.54363x -2.41708x -3.52436x -3.00256x -2.96187x -3.06416x -3.43809x -3.01857x -3.20688x -3.06952x -3.15954x -2.88555y -1.45001y -0.43035y -0.22162y -3.80971y -1.55814y -0.59752y 3.34633y -0.77423y -3.17869y 0.587302y 0.193334y -0.32551y -1.62067y -1.05912y 1.88726y -2.98262y -3.22901y -2.34512y -2.5074y -4.80501