The length of a rectangular plot of land is 151.28 m, and its width is 72.35 m. What is the perimeter of this plot?
605.1 m
223.6 m
289.4 m
a.
b. 447.3 m
c.
d.
Please select the best answer from the choices provided
OA
OB
OC
OD

Answers

Answer 1

[tex] \large{ \boxed{ \tt{447.3 \: m}}}[/tex]

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The Length Of A Rectangular Plot Of Land Is 151.28 M, And Its Width Is 72.35 M. What Is The Perimeter

Related Questions

The processes that transform rock from one type to another are part of the

Answers

The different types of rocks found in the Earth's crust are created and altered through a sequence of events known as the rock cycle.

The cycle of rocks

Geologists use the term "rock cycle" to describe how the three main types of rocks—sedimentary, metamorphic, and igneous—transition throughout the course of geologic time. When pushed outside of its equilibrium circumstances, each type of rock undergoes change.

The three major rock types—igneous, metamorphic, and sedimentary—are formed and degraded in accordance with various applications of heat and pressure throughout time, according to a web of processes known as the rock cycle. For instance, adding heat and pressure transforms sedimentary rock shale into slate.

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A 10. 0 g pebble is placed in a sling shot with a spring constant of 200. 0 n/m and is stretched back 0. 500 m. What is the maximum velocity the pebble will acquire?.

Answers

The maximum velocity the pebble acquires while placing it in a sling shot with a certain spring constant and in a stretched back position is 70.71 m/s.

Given that,

Mass of the pebble m = 10 g

Spring constant k = 200 N/m

Extension in the sling shot x = 0.5 m

As energy is conserved therefore, slingshot's elastic potential energy is converted into kinetic energy of pebble,

1/2 k x² = 1/2 m v²

200 × 0.5² = 10 × 10⁻³ v²

10⁻² v² = 50

v² = 50 × 10²

v = 70.71 m/s

The maximum velocity of the pebble is calculated to be 70.71 m/s.

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The graph represents the simple harmonic motion of a mass on a spring.
Which arrow indicates the amplitude of the motion?

A
B
C
D

Answers

Answer:

B

Explanation:

Amplitude, in simple terms, is height of the peak. This is done by measuring the peak point to the middle line.

That is B.

A 6 kg block initially at rest is pulled to the right along a frictionless, horizontal surface by a constant horizontal force of magnitude 12 n. Find the blocks speed after it has moved through a horizontal distance of 3 m.

Answers

The speed of that block after it has moved in the 3 m of horizontal field will be 3.46 m/s.

How to calculate the blocks speed after moved through a horizontal distance?

Since the block move in a horizontal we field, we can apply the second Newton law where F = m x a to find the acceleration. The calculation will be:

F = m x a

12 = 6 x a

a = 2 m/s²

Then find the speed by kinetic equation where the formula is V₂² = V₁² + 2as. So:

V₂² = V₁² + 2as

V₂² = 0² + 2 (2) (3)

V₂² = 0 + 12

V₂ = √12

V₂ = 3.46 m/s

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Compare and contrast the Physical and Compositional Layers of the Earth

Answers

Compositional layers of the earth are determined by their parts while on the other hand, the mechanical layers are determined by their physical characteristics.

What are the compositional layers of the earth?

The earth is made up of three different layers: the crust, the cape, and the core according to mechanical things, Earth's layers are the lithosphere, crust, lower mantle (also known as mesospheric mantle), outer core, and inner core, according to Phys.org

Starting at the center, Earth is calm of four distinct layers. They are, from gaping to shallowest, the inner core, the outer core, the mantle, and the crust. Earth's atmosphere has five major and some secondary layers. From lowest to highest, the major layers.

So we can conclude that The earth is made up of three dissimilar layers: the crust, the mantle, and the core.

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How do you find the magnitude of a uniform electric field?

Answers

To find the magnitude of a uniform electric field, we can use formula E = (k * Q) / r^2.

What is the magnitude of the electrical field?

The magnitude of the electric field is simply described as the force per charge on the test charge. The standard metric units on electric field strength come from its definition. Since electric field is described as a force per charge, its units would be force units divided by charge units.

The electric field formula or magnitude of electric field equation for an electric charge Q at distance r from the charge is:

E = (k * Q) / r^2

where:

k is a constant which called Coulomb's constant and is equal to 8.987x109Nm^2/C^2.Q is the source's charge, which measured in coulombs (C).r is the distance from the charge to the point of measurement, in units of meters (m).E is the electric field, which measured by Newton per coulomb (N/C).

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I need help with this

Two objects exert a gravitational force, Fg on each other. Match each change in the distance d between the objects or the mass m of one of the objects to its effect on the gravitational force. Each effect may be matched to more than one change or not be matched at all.

Answers

The correct match of the change in mass or distance and the effect of change on the gravitational force between two objects are given below:

d → 2d and m in unchanged ----> Fg → (1/4) Fg

m → 2m and d is unchanged --->  Fg → (2) Fg

d → 2d and m → 2m   ---> Fg →  Fg

d → (1.2) d and m is unchanged --->  Fg → (4) Fg

m → (1/2) m and d is unchanged ---> Fg → (1/2) Fg

What is gravitational force?

Gravitational force is the force that pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.

The gravitational force depends on the magnitude of the masses and the distance between the masses.

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Other than the first shell, which can hold up to 2 electrons, how many electrons will make a "full" valence shell?.

Answers

A full valence shell is one that is filled with the maximum number of electrons that it can hold. For all shells except the first shell, this number is 8 electrons.

What is electrons?

Electrons are subatomic particles that have a negative electrical charge. They are the primary component of atoms, and they are responsible for most of the properties of chemical elements. Electrons orbit around the nucleus of an atom, and they can move freely between atoms in a chemical reaction. Electrons can also form bonds with other atoms, allowing them to create molecules and other compounds. Electrons also play a major role in electricity, as they are the particles that move through wires and other conductors, carrying energy from one place to another.

This is because each shell can hold a maximum of 2 electrons per sub-shell, and each shell has four sub-shells (s, p, d, and f). So, 2 electrons x 4 sub-shells = 8 electrons.


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Mike jumps 1 m down onto a walkway. His downward motion stops in 0. 02 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones? mike's mass is 70-kg.

Answers

The force that transmitted into his leg bones are 15479.52 N. We use third law of kinematic equation to find it.

How to find the force transmitted to his leg bones?

First, we have to find the value of his velocity when he stop using the third kinematic equation.

V₂² = V₀² + 2 x g x h

V₂² = 0 + 2 x 9.8 x 1

V₂ = 4.42 m/s

Then find the acceleration he has as follow:

a = (V₂-V₁) : t

a = [tex]\frac{4.42-0}{0.02}[/tex]

a = 221.136 m/s

Then, find the force that we want to know by:

F = m x a

F  = 70 x 221.136

F = 15479.52 N

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Section 6.1 Review
1. Describe the size and shape of Earth.
2. Describe two characteristics that make Earth unique in our solar system.
3. Summarize how scientists learn about Earth’s interior.
4. Compare Earth’s compositional layers with its structural layers.

Answers

Earth is a sphere, with a diameter of 12,742 km and an equatorial circumference of 40,075 km.Earth is unique in the solar system for its large amount of liquid water and the presence of life.Scientists study seismic waves, gravity, and heat flow to learn about Earth's interior.Earth's compositional layers are the crust, mantle, and core; its structural layers are the lithosphere, asthenosphere, mesosphere, outer core, and inner core.

What is the Lithosphere?

A lithosphere is the rocky shell that surrounds a terrestrial planet or natural satellite.

It is made up of the crust and a section of the upper mantle that acts elastically over time periods of thousands of years or more on Earth.

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lydia picks up oranges each of which is 1kg from a basket on the ground and puts them on a table that is 1.5 meter high. how much work is she doing on each orange

Answers

Explanationnswer:



Answer:find out ;/

Explanation:

To calculate the amount of work Lydia is doing on each orange, you need to use the formula for work, which is Work = Force x Distance x Cos(theta). In this case, the force is the weight of the orange (1 kg), the distance is the height of the table (1.5 meters), and theta is the angle between the force and the distance (which is assumed to be 90 degrees, since she is lifting the orange straight up).

So the work done on each orange is 1 kg x 1.5 meters x cos(90) = 1.5 Joules.

A robot vacuum cleaner cleans the Potters front room. Which is the vacuum cleaner's useful output energy? (1 p
O kinetic energy that moves the robot and its brush
O electric energy that recharges the robot's battery
Othermal energy that warms the robot
sound energy that makes a whirring noise

Answers

kinetic energy that moves the robot and its brush.

What does a robot vacuum cleaner do?A robotic vacuum is a self-propelled floor cleaner that collects dirt and debris from carpets and hard floors using brushes, a spinning brush, or an air-driven turbine. Without any assistance from humans, they operate independently. Dedicated floor mop or a combination vacuum. The basic principles of how each robot mop works are the same: Water is stored in a tank that you fill, and it is released when the robot moves around your floors while utilising an associated cloth or pad to scrape dirt off the surface. An autonomous robotic vacuum cleaner, sometimes known as a generic trademark, features a restricted vacuum floor cleaning system coupled with sensors, robotic drives, and programmable controllers and cleaning routines.

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I need help, It’s a packet but unfortunately I can’t add anymore pictures

Answers

According to the equation a = v/t, acceleration (a) is the product of the change in velocity (v) and the change in time (t).

What is the measurement of velocity?

metric seconds per second

Velocity is a vector representation of a particle's or object's motion with regard to time. The recognised unit of magnitude for velocity is the metre per second (m/s), sometimes known as speed.

What does the word "velocity" represent in terms of its graphic meaning?

alphabet v

The letter "v" in capital letters stands for both velocity and speed (boldface). A bar with average values is located above the symbol. When the shortest path is used to measure distance, the amount of displacement is always less than or equal to the distance between the two locations.

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A 0.1 kg toy train car moving at 1.0 m/s runs into a stationary car with a mass of 0.15 kg. At what speed do they move off together?

Answers

The toy train and the car move off together at speed of 0.4 m/s.

What is law of conservation of momentum?

According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

From conservation of momentum, we get:

Total initial momentum = total final momentum

0.1 kg × 1.0 m/s + 0.15 kg × 0 m/s = ( 0.1 kg + 0.15 kg) × v

v  = (0.1/0.25) × 1.0 m/s

v = 0.4 m/s.

Hence,  they move off together at speed of 0.4 m/s.

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What are the factors required for the choice of electric propulsion systems for EVs and HEVs?

Answers

When it comes to choosing the right electric propulsion system for electric vehicles (EVs) and hybrid electric vehicles (HEVs), there are several factors to consider. These include power needs, cost, efficiency, environmental impact, and safety.

Power needs are important to consider as the right system will be able to provide enough power for the vehicle’s needs without overpowering it. Cost is also an important factor when selecting a propulsion system as some systems can be expensive.

Efficiency is also key to consider as some systems can be more efficient than others. Environmental impact is also important as some propulsion systems are more efficient and have lower emissions than others. Finally, safety is an important consideration, as some systems may be safer than others.

By considering all of these factors when selecting an electric propulsion system for an EV or HEV, vehicle owners can ensure they are making the best choice for their needs.

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A 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart moving right at 5. 0\,\dfrac{\text m}{\text }5. 0

m

5, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction on a frictionle track collide with a econd cart moving right at 2. 0 \,\dfrac{\text m}{\text }2. 0

m

2, point, 0, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction. The 1. 0\, \text {kg}1. 0kg1, point, 0, tart text, k, g, end text cart ha a final peed of 0. 50\,\dfrac{\text m}{\text }0. 50

m

0, point, 50, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right, and the econd cart ha a final peed of 2. 3\,\dfrac{\text m}{\text }2. 3

m

2, point, 3, tart fraction, tart text, m, end text, divided by, tart text, , end text, end fraction to the right

Answers

The total initial momentum of 7.0 kgm/s is 2.8 kgm/s,

This scenario describes an inelastic collision between two carts. In an inelastic collision, the total kinetic energy of the system is not conserved and some of it is converted into other forms of energy, such as heat or sound.

Using the principle of conservation of momentum, we can calculate the final velocities of the two carts after the collision. The initial momentum of the first cart is 1.0 kg * 5.0 m/s = 5.0 kgm/s. The initial momentum of the second cart is 1.0 kg * 2.0 m/s = 2.0 kgm/s. The total initial momentum of the system is 5.0 kgm/s + 2.0 kgm/s = 7.0 kg*m/s.

After the collision, the final momentum of the two carts is equal to the total initial momentum, since no external forces are acting on the system. Therefore, the final momentum of the first cart + the final momentum of the second cart = 7.0 kg*m/s.

We can use the final velocities given in the problem to solve for the final momentum of each cart.

The final momentum of the first cart is 1.0 kg * 0.50 m/s = 0.50 kgm/s

The final momentum of the second cart is 1.0 kg * 2.3 m/s = 2.3 kgm/s

And add them: 0.50 kgm/s + 2.3 kgm/s = 2.8 kgm/s, which is equal to the total initial momentum of 7.0 kgm/s.

We can also observe that the final velocity of the first cart is less than its initial velocity, while the final velocity of the second cart is greater than its initial velocity. This is expected in an inelastic collision as some of the kinetic energy of the system is converted into other forms of energy, causing the final velocities of the carts to be different from their initial velocities.

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A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car moving in the same direction at 2 m/s. after the collision the car moves at 142 m/s, what is the final velocity of the truck?

Answers

The final velocity or speed of the truck is about 2.5 m/s.

What is the momentum?

We have to recall that in this case, the principle of the conservation of the linear momentum must come to mind. From the principle that we have it ought to be know that;

Momentum before collision = Momentum after collision

Then we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

The velocity is 2.5 m/s from the calculation that we have done.

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a 4 kg object posesses 18 J of kinetic energy. what is its velocity?

Answers

A 4kg object possesses 18J of kinetic energy then 3m/s will be its velocity.

Given:

Maas of object- 4kg

Kinetic energy-18J

Velocity-?

Kinetic energy is the energy possessed by a moving object, depending on its mass and velocity.

therefore,Kinetic energy =1/2 x mv^2

18J = 1/2 x 4kg x v^2

18J = 0.5 x 4kg x v^2

18J = 2kg x v^2

v^2 = 18/2

v^2 = 9

v = √9 (square root of 9)

v = 3 m/s

The velocity of a 4kg object with 18J of kinetic energy will be 3m/s.

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gas expands when 591 J of energy is added to it as heat. The expanding gas does 431 J of work on its surroundings.
(a) What is the overall change in the internal energy of the gas?
J
(b) If the work done by the gas were equal to 1102 J (rather than 431) J), how much energy would need to be added as heat in order for the change in internal energy to equal the change in internal energy in part (a)?

Answers

Let us cut the work done on gas as we move along the direct path

W=-(-area undercurve),=-[(1.00atm)(4.l-2)+1/2(4-1)(4-2)],W=-5atm

The change in internal energy=-88.5J

What does physics mean by internal energy?

In thermodynamics, internal energy is a property or state functional that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.

What makes it internal energy?

Internal Energy is the energy in a thermodynamics that is NOT either the system's total kinetic energy or the gravitational potential energy. The system's internal freedom levels are connected to the internal energy.

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a 12.5-kg board, 4.00 m long, is being held up on one end by Ahmed. He calls for help in lifting the board, and Judi responds

Answers

F min=61.25N Ahmed is supporting a 12.5 kg, 4.00 m long board on one end. Judi responds to his request for assistance by accelerating the speed of the motion, and is the rate for which velocity varies over time.

Explain what an acceleration is.

acceleration is the rate of change in both speed and the direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. So because direction is constantly changing, even motion on the a circle accelerates at a constant pace.

What happens if you speed up?

This means that a velocity change can be either an alteration in the speed or direction of motion of an object. Acceleration is the process by which an item alters its direction, speed, or both.

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If a ball is dropped from the top of a
building and it takes 11 seconds to hit the
ground, how tall is the building? travel?

Answers

the answer should be 103.64 ft if the ball is less than 1 lb.

When the woman in Example 14.4 expels some of the air in her lungs, what happens to her density and her submerged volume

Answers

The density of woman can be calculated from the fraction of submerged. The submerged volume is equal to the volume of fluid displaced.

How does the Archimedes Principle relate to buoyancy?

Any object that is partially or fully submerged in a fluid will always be subject to the buoyant force. The buoyant force on an object is equal to the weight of the fluid it pushes away, according to Archimedes' principle.

the woman’s density by solving the equation

fraction submerged = ρ woman/ρ fluid

Density of woman ρ woman => fraction submerge x ρ fluid

   Volume of submerged = Volume of float = mass float/ρ fluid.

What is the guiding concept of Archimedes?

The buoyant force, which is equal to the weight of the fluid the body displaces, acts on a body at rest in a fluid by pushing upward. If the body is entirely immersed, the amount of fluid that is displaced is equal to the body's volume.

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Which is a complete description of the momentum of an object?O 4.2 m/s, eastO 2.4 kg/mO2 kg/sO 1.9 kg*m/s, west

Answers

1.9 kg*m/s

As we know that momentum is directly proportional to Mass and Velocity

Momentum= k*M*V

where k is the proportional constant, which is equal to 1 in this case.

(M*V). And by now if we talk about Unit then Mass has SI Unit as Kg. and Velocity have as m/s

I option 1 we unit as m/s  which simply shows the unit of Velocity. whereas option 2 is 2.4 kg/m which is not true as we already calculated as it must be kgm/s similarly in the case of option 3 2kg/s which again is not exactly the same SI unit of what we calculated before using equating the equation.

we can calculate the Kinetic energy by multiplying moment by Velocity and dividing 2.

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HELP PLEASE HELP PLEASE HELP PLEASE

Answers

the answer will be 35

summary of a article“exercise can help control stress

Answers

Regular exercise improves confidence, mood, and calm while reducing the symptoms of moderate anxiety and depression. Exercise can also help you sleep better, which is commonly interrupted by stress, sadness, and worry.

Is depression influenced by stress?

Stress that lasts a long time or is chronic can be harmful to you on its own, but it could also make depression worse, a mental condition that makes you feel depressed and uninterested in things you usually find enjoyable. Depression can affect your ability to concentrate, concentrate, and regulate your appetite.

Can stress make you sick?

Chronic stress, which lasts for a lengthy period of time, can impair a patient's overall and immune systems. If you are constantly tensepatient's overall and immune systems. If you are constantly tense Stress & Health is an international forum for disseminating cutting-edge theoretical and empirical research that significantly

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How does shaking the box represent the energy given off by the radioactive
elements when they become stable?

Answers

Answer:

shaking the box requires energy given off when the elements change to become stable.

a 20 newton block is at rest at the bottom of a frictionless incline as shown in the diagram. How much work must be done against gravity to move the block to the top of the incline

Answers

The work done in raising the block is 60 J.

What is the work that is done against gravity?

We have to note that the work that is done against gravity is the work that is needed so as to be able to raise the block through a vertical distance and this has to be at the back of our minds.

Here we can see in the image that is attached that the vertical height through which the block has been raised is 3m.

We know that the work done = Fh

F = Weight of the block

h = Height of the incline

Thus;

Work = 20 N * 3 m = 60 J

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Which of the following is NOT a likely result of regular physical activity?
A.
increased energy
B.
decreased attention span
C.
improved school attendance
D.
improved quality of life



Please select the best answer from the choices provided.


A
B
C
D

Answers

C improved school attendance

Answer: B

Explanation:

took the test

A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.

Answers

A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s. During the first two minutes of flight, the SRB and main engine accelerate at a rate of 52.16 m/s2.

Acceleration is the rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. The engine's initial velocity (u), final velocity (v), and time of motion (t), which is equivalent to two minutes, are the parameters given (2 x 60 s).

The calculations for the main engine's and SRB's acceleration are listed below.

a= Δv / Δt

a=7600-1341 /2*60s

a=52.16 m/s²

As a result, during the first two minutes of flight, the main engine and SRB accelerate at a rate of 52.16 m/s2.

Your question is incomplete but most probably your full question is

A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBS are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.

What is the height of the rocket when the rocket reaches the speed of 7600 m/s? Show your work.

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What is a comparison of two quantities called?
The comparison, by division of twosimilar quantities is called ratio and proportion. A ratio that specifically compares two quantities measured in different units.
a. True
b. False

Answers

The comparison of two quantities by division of two similar quantities is called ratio and proportion and the given statement is true.

A ratio is a way of comparing amounts. A ratio shows the number of times an amount is contained in another, or how much bigger one amount is than another.

The two numbers are both parts of the whole, If I need to mix some cement, then I could add two parts cement to four parts sand. Hence the ratio 2:4 (6 parts in total). The written bis important; 4:2 would give a different mix.

Ratios are written to their simplest form. In the figure to the right we have 15 red dots and five green dots. The ratio is 15:5; however, this can be reduced to the simplest form as we do with fractions.

The ratio as we can see in the graphic is also 3:1, if you look at the relationship of the numbers 15:5 as is 3:1, we can see that 3 is multiplied by 5 to get 15 and so is the one to get five.

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The spot on the fault where the pressure first releases is called the Jim Crow laws limited African Americanss access to legal protectionsTrueorFalse What is the area of a circle with a radius of 4 inches? Use 3.14 for . Enter your answer as a decimal in the box. enter your answer in 20 POINTS!!!! PLEASE QUICK TIMED THANKS!!! define and give examples of physical and human characteristics of a place. What is the location of point B?(-2, 9)(2, -9)(9, 2)(9, -2) Today, everything at a store is on sale. The store offers a 20% discount. B. If the regular price of an item is x dollars, what is the discount price in dollars? i need answers!!!!! Complete Subjects andPredicatesoff and RunningGrammar. Compound SentencesEach sentence has a complete subject and a completepredicate.A complete subject has all of the words that tell whomor what the sentence is about. A complete predicate hasall of the words that tell what the subject is or doescomplete completesubject predicateWe all recounted the votes.Thinking QuestionsWhat are the words thattell whom or what thesentence is about?What are the words thattell what the subject is ordoes?Activity Circle the complete subject and underline the complete predicatein each sentence.1. The girl with the blue ribbon was running for class president,2. The poster with the sparkles was Reina's.3. Reina's parents and friends helped write her speech4. The past class presidents always worked to improve the school.5 All of the students cast their votes.o. Someone in the lobby yelled that the votes were in At you school, 170 students participated in a fundraiser. It was the schools goal to get at least 80% of the students to participate. If there are a total of 290 students in the school, what percentage of students participated in the fundraiser ? What soil horizon is the most important for the growth of plants (agriculture) ? what value does the 8 represent in the number 865,202? if 2^x=3^y=12^z, show 1/z=1/y+2/x 15. Which of the following is the correct electron configuration for neon (10Ne)?A. 1s 2s22pC. 184 2s2 3s2 2p?B. 1s 2s2 3s2 2p4D. 152 282 3s2p5 Consider Carmens plans.Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.Carmen used her knowledge of angle relationships to find the value of x in the diagram.What is the value of x?x = 5x = 9x = 13x = 16 If a well is dug at -60 feet per day. How many days did it take to dig -5400 feet?(Answer numerically ex: 30 Days answer = 30) The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height. Danielle is designing a system to help race cars slow safely and rapidly at her local racetrack. The racetrack is a straight, 1,000-meter stretch of asphalt. Half of the track is devoted to races and the other half is designed to let cars decelerate after crossing the finish line.Danielle has designed a pair of small parachutes that are automatically released out the back of a car once it crosses the finish line. When her system works properly, the race car driver does not need to apply the brakes to bring the car to a stop before running out of track.When Danielle tests a prototype of her design, it brings a race car to a stop 275 meters behind the finish line. After taking some measurements, she decides that her design causes the driver to experience too much force. To correct this, she could A. make the parachutes larger in order to increase the drag forces on the car and bring it to a stop 200 meters after crossing the finish line. B. add a third parachute in order to increase the drag forces on the car and bring it to a stop 175 meters after crossing the finish line. C. make the parachutes smaller in order to decrease the drag forces on the car and bring it to a stop 400 meters after crossing the finish line. D. remove one of the parachutes in order to decrease the drag forces on the car and bring it to a stop 550 meters after crossing the finish line. 7/8+ (4/8-2/4) anybody know?? You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth. A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.Required:a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?d. What is the 95% confidence interval estimate of the difference between the two population proportion? What does the Parthenon mean? also, what does astrolabe mean