you can find the center of gravity of a meter stick by resting it horizontally on your two index fingers, and then slowly drawing your fingers together. first the meter stick will slip on one finger, and then on the other, but eventually the fingers meet at the cg. why does this work?

Answers

Answer 1

If the fingers' distances from the centre of gravity (CG) differ, the fingers closer to the CG will support a greater portion of the meter stick's weight, resulting in zero net torque on the stick.

Because of the greater vertical force, there will be more friction between the stick and the closer finger, making it simpler to pull the finger farther from the centre of gravity.

The finger that is farthest away will glide more readily and come closer to the CG as a result. That finger will have greater friction and stick when it is the one that is closest to the CG. After then, the other finger will glide. The procedure is then repeated. The finger that is further from the Cg will move toward it, and finally the two fingers will meet at the CG.

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Related Questions

A kettle transfers 1500 J of energy, 1200 J to a thermal energy store and 300 J to a vibrational energy store (sound). How efficient is the kettle?

Answers

Answer: 0.8

Explanation:

The efficiency is defined as the ratio of total imput energy that is actually utilized to the end of the device.

So if we have a total transfer of 1500j of energy, and 1200j are used to heat the thing inside the kettle, 300j are not used to the actual function of the kettle.

So the efficiency is n = 1200j/1500j = 0.8

This means that a 80% of the energy imput is actually used to heat the kettle.

What claim can you make about the relationship between kinetic energy and potential energy?

Answers

Answer:

The connection between the two is that potential energy transforms into kinetic energy

Explanation:

We know that potential energy is the energy that is stored within an object while kinetic energy is the energy that is in motion.

At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant

Answers

Answer:

Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer

answer :  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight of Bananas  = m * g      where g = 9.8

Explanation:

Given an amplitude ( A )= 29.8981

Spring constant = x ( unknown )

maximum speed of Bananas( v ) = wA  ( unknown )

question : calculate the weight of the bananas

First  step : calculate the period of oscillation

T = \(\frac{2\pi }{vA}\) --- ( 1 )

next step : express T in terms of mass ( m ) of the bananas

= \(2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}\)

∴ m/k = A^2 / v^2

hence  mass of Bananas ( m ) = \(\frac{A^2}{V^2} * K\)

To calculate for weight = m * g

A tuning fork by itself produces a faint sound. Explain how each of the following methods can be used to obtain a louder sound from it. Explain also any effect on the time interval for which the fork vibrates audibly. (a) holding the edge of a sheet of paper against one vibrating tine

Answers

To obtain a louder sound from a tuning fork, one method is to hold the edge of a sheet of paper against one vibrating tine.

When the paper is pressed against the tine, it acts as a soundboard and helps to amplify the sound produced by the tuning fork. This is because the paper vibrates along with the tine, creating more air vibrations and thus a louder sound.

When the paper is held against the tine, the time interval for which the fork vibrates audibly may be slightly reduced. This is because the paper adds some dampening effect to the vibrations, causing them to decay faster. However, the overall loudness of the sound is increased due to the amplifying effect of the paper.

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1.
A kitten is sleeping in her bed with a force of gravity of 20N
What is the mass of the kitten?

Answers

i think it’s 10 kg since 20/2=10
Anwser: 2.04kg (...)

HELP!!!! PLEASE (and there will be more)
Which type of wave does the illustration depict?

longitudinal wave

surface wave

transverse wave

HELP!!!! PLEASE (and there will be more) Which type of wave does the illustration depict?longitudinal

Answers

Answer:

i wanna say tranverse if not surface

Explanation:

Answer : Surface Wave

Explanation:

Gravity waves along the surface of liquids, such as ocean waves. (btw it does look like ocean waves)

Four satellites are in orbit around the Earth. The heights and the masses of
the four satellites are given in the table. For which satellite is the gravitational
pull of Earth the strongest?F= Gm1m2/r^2
A. Satellite A
B. Satellite B
C. Satellite C
D. Satellite D

Four satellites are in orbit around the Earth. The heights and the masses ofthe four satellites are given

Answers

Answer:

satellite B

Explanation:

A .F= G (mM)/r²

B .F= G (2mM)/r² = 2G (Mm)r²

C .F= G (3mM)/(2r)² = ¾G (mM)/r²

D .F= G (4mM)/(2r)² = G (mM)/r²

Which country has a coastline on the pacific ocean microsoft rewards.

Answers

There are several countries that have a coastline on the Pacific Ocean, including the United States, Canada, Mexico, Peru, Chile, Japan, and Australia.

However, if we had to pick just one country, the answer would be Chile. Chile is a narrow country located in South America that stretches over 4,000 km (2,485 miles) along the western coast of the continent. Its coastline borders the Pacific Ocean, making it the country with the longest coastline on the Pacific Ocean.

Thus, Chile is the country that has a coastline on the Pacific Ocean. It is important to note that there are other countries with a coastline on the Pacific Ocean as well.

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Imagina que compras una placa rectangular de metal de 2mm de alto, 10mm de ancho x 50mm de largo, y una masa de 0.02kg. El vendedor te dice que es de oro, pero para ver si de verdad es de oro, lo verificas calculando la densidad de la placa. ¿Cuál es el valor de la densidad de la placa? ¿Es de oro la placa rectangular?

Answers

Answer:

Densidad de la placa = 20 g/cm³.

La placa no es de oro.

Explanation:

Para encontrar la densidad de la placa rectangular primero debemos hallar su volumen:

\( V = 2 mm*10 mm*50 mm = 1000 mm^{3}*\frac{1 cm^{3}}{(10 mm)^{3}} = 1 cm^{3} \)      

Ahora, encontremos al densidad de la placa:

\( d = \frac{m}{V} = \frac{20 g}{1 cm^{3}} = 20 g/cm^{3} \)

Dado que la densidad del oro es 19.32 g/cm³ y que la densidad de la placa rectangular calculada es 20 g/cm³, podemos decir que dicha placa no es de oro.                  

Espero que te sea de utilidad!

light from a certain laser has an intensity of 402 mw/m2. what will be its radiation pressure if it is absorbed? answer in pa, with at least 3 significant figures.

Answers

The radiation pressure of the laser would be 1.34 x 10⁻⁶ Pa if it is absorbed.

The radiation pressure can be calculated using the formula P = I/c, where P is the radiation pressure, I is the intensity of the laser, and c is the speed of light.

Using the given intensity of 402 mw/m2, we convert it to SI units by multiplying by 10⁶ to get 402 W/m2.

Thus, the radiation pressure would be P = (402 W/m2) / (3.00 x 10⁸ m/s) = 1.34 x 10⁻⁶Pa.

Therefore, the radiation pressure of the laser would be 1.34 x 10⁻⁶ Pa if it is absorbed.

The concept of radiation pressure is based on the fact that light, despite being massless, carries momentum. When light is absorbed or reflected by an object, it exerts a pressure on that object. This pressure is proportional to the intensity of the light and the surface area of the object.

In this case, we are given the intensity of the laser as 402 mw/m2. However, it is important to note that this intensity is in milliwatts and needs to be converted to watts to be used in the formula. Thus, we convert the intensity to SI units by multiplying it by 10⁶ to get 402 W/m2.

Using the formula P = I/c, where P is the radiation pressure, I is the intensity of the laser, and c is the speed of light, we can calculate the radiation pressure. Substituting the values, we get P = (402 W/m2) / (3.00 x 10⁸ m/s) = 1.34 x 10⁻⁶Pa.

Therefore, the radiation pressure of the laser would be 1.34 x 10⁻⁶ Pa if it is absorbed.

The radiation pressure of a laser can be calculated using the formula P = I/c, where P is the radiation pressure, I is the intensity of the laser, and c is the speed of light. In this case, the given intensity of 402 mw/m2 needs to be converted to SI units by multiplying it by 10⁶ to get 402 W/m2. Substituting the values in the formula, we get the radiation pressure as 1.34 x 10⁻⁶ Pa.

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The goalkeeper is the only player allowed to use their hands OA True OB. False​

Answers

Answer:True

Explanation:


Which field of science gives us the idea that spacetime is not just a flat grid but is
itself a physical entity that can be bent and molded?

A: General Relativity

B: Time dilation

C: quantum mechanics

D: gravitational physics

Answers

The field of science that gives us the idea that spacetime is not just a flat grid but is itself a physical entity that can be bent and molded is known as quantum mechanics. Thus, the correct option for this question is C.

What is Quantum mechanics?

Quantum mechanics may be defined as a fundamental theory in physics that significantly provides a detailed description of the physical properties of nature at the scale of atoms and subatomic particles. It is basically the branch of physics that deals with the behavior of matter and light on a subatomic and atomic level.

Time dilation in the theory of special relativity is the “slowing down” of a clock as determined by an observer who is in relative motion with respect to that clock.

General relativity is the theory of gravity. The basic idea is that instead of being an invisible force that attracts objects to one another, gravity is a curving or warping of space. The more massive an object, the more it warps the space around it.

Therefore, quantum mechanics is the field of science that gives us the idea that spacetime is not just a flat grid but is itself a physical entity that can be bent and molded. Thus, the correct option for this question is C.

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Explain at least 3 different ways that you can motivate yourself past any distractions to reach your goals. (The subject is Physical Education)
Help!
Due today

Answers

Answer:

Explanation:

Set specific, achievable goals: Break down your larger goal into smaller, more manageable targets that you can work towards each day. When you accomplish these smaller goals, it will give you a sense of accomplishment and motivation to continue working towards your larger goal.

Visualize your success: Imagine yourself successfully achieving your goal and all of the positive feelings that come along with it. This visualization can help keep you focused and motivated when distractions arise.

Find an accountability partner: Find someone who shares your goals and who can help you stay focused and motivated. This could be a friend, family member, or a coach. Having someone to share your progress with and to hold you accountable can be a powerful motivator.

Reward yourself: Set up a system of rewards for yourself when you reach certain milestones on the way to your goal. These rewards could be something as simple as a treat or a movie, or something more substantial like a new piece of workout equipment.

Get organized: Plan out your workouts and stick to a routine. Having a clear plan and structure can help you stay focused and motivated, as you can see how each workout is helping you to reach your goal.

Surround yourself with positive influences: Surround yourself with people who support and encourage your goals. Having positive influences in your life can help you stay motivated and inspired to reach your goals.

3. According to Newton's First Law, unless acted upon by an unbalanced force, an object at rest will​

Answers

Answer:

An object at rest remains at rest

Explanation:

An object at rest stays at rest and an object in motion stays in motion with the same speed

Polar bears are extremely good swimmers and can travel as long as 10 hours without resting. If a polar bear is swimming with an average speed of 2.6m/s how far will it have traveled after 10.0 hours? (Convert hours for seconds)

Answers

Answer:

It travels 93600 m

Explanation:

speed = 2.6 m/s

time = 10 hour

10 hour = 10 x 60 x 60 = 36000 s

distance = speed x time = 2.6 x 36000 = 93600 m

friction always opposes ___________ motion​

Answers

ANSWER: Friction is a force that opposes motion. When two objects are in contact, friction is acts in a direction opposite to the motion of the object.


EXPLANATION: HOPE THIS HELPS.

If an electron (with a charge of 1.6 x10−19c) Experiences a force of 500 N at a certain point in an electric field, then find the strength of the electric field in that location

Answers

Answer:

3.125×10²¹ N/C

Explanation:

Electric Field: This can be defined as the force experienced per unit charge. The S.I unit of electric Field is N/C

Applying,

E = F/q.................. Equation 1

Where E = Electric Field, F = Force experienced, q = Charge of an electron.

From the question,

Given: F = 500 N, q = 1.6×10⁻¹⁹ C

Substitute these values into equation 1

E = 500/(1.6×10⁻¹⁹)

E = 312.5×10¹⁹

E = 3.125×10²¹ N/C

A hypothesis is a(n) ______________
An independent variable is__________
A dependent variable is___________
To determine the independent variable, what question can you ask yourself?
To determine the dependent variable, what questions can you ask yourself?

Answers

Answer:

It is an educated guess

Explanation:

let me know if the bottom ones need to be answered too.

Is a structure stable when force is applied in a certain direction?

Answers

Answer:

It can be, but no, mostly it won't be, and it will fall.

Explanation:

When you put force on a structure it will most likely fall unless, it's a big statue.

A fully loaded tractor-trailer traveling at 65 mph under ideal conditions takes a minimum of: A) 3 seconds to stop
B) 6 seconds to stop C) 9 seconds to stop D) 12 seconds to stop

Answers

A fully loaded tractor-trailer traveling at 65 mph under ideal conditions takes a minimum of B) 6 seconds to stop.

The stopping distance of a vehicle depends on many factors such as the speed, the weight of the vehicle, the condition of the brakes and the road surface. Assuming ideal conditions, it can be estimated that a fully loaded tractor-trailer traveling at 65 mph takes at least 6 seconds to stop. This estimate is based on the recommended following distance of at least one car length for every 10 mph of speed.

At 65 mph, the recommended following distance would be about 390 feet. It would take approximately 6 seconds to cover this distance at a constant speed, assuming no braking. However, in reality, it would take longer than 6 seconds to stop a fully loaded tractor-trailer, as braking distance increases with speed and weight.

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Use the ideas about energy that you have learned to write a possible explanation for how a spark might start an explosion.

Answers

Answer:

When a spark occurs in an environment where flammable materials are present, it can start a chain reaction that leads to an explosion. The spark provides energy that can ignite the flammable materials and initiate a chemical reaction. This reaction releases a large amount of energy in the form of heat, light, and pressure. As the reaction continues, it creates more heat, which can then ignite more flammable materials and create a self-sustaining process that quickly builds in intensity. This process is known as an explosion.

Explanation:

In other words, the spark acts as a trigger that provides the initial energy to start the reaction. The energy released by the reaction then provides the necessary feedback to continue the process, creating a self-sustaining cycle that rapidly releases energy in the form of an explosion. The key to understanding this process is recognizing the role that energy plays in the reaction. Energy is required to initiate the reaction, and once started, the energy released by the reaction fuels the process and causes it to rapidly escalate.

17
what is
meant by the statement'
Pressure of gas is 13.6cm of Hg'?

Answers

Answer:

It ,means, the mercury rises to 13.6 cm in the barometer.

Explanation:

Given that,

The statement'  Pressure of gas is 13.6cm of Hg'.

We know that,

(I). The pressure is equal to the force upon area.

(II). The gas pressure is the real force which is applied on the  walls of container by the gas.

(III). The gas pressure is measured by barometer.

(IV). The standard atmospheric pressure is 760 mm of Hg and the density of Hg is 13.6 cm.

It means, when  the pressure exerted on the wall then the mercury rises to 13.6 cm in the barometer

Hence, It ,means, the mercury rises to 13.6 cm in the barometer.

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area ( 8989 km/h) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 4747 meters. Because fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0. 5360. 536 and 0. 5990. 599 , whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0. 3500. 350 and 0. 4800. 480. Vehicles of all types travel on the road, from small cars with a mass of 563563 kg to large trucks with a mass of 39513951 kg. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection

Answers

The minimum and maximum braking distances needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection are as follows:

- For small cars: Minimum ≈ 1773.028 m, Maximum ≈ 1568.850 m

- For large trucks: Minimum ≈ 3285.760 m, Maximum ≈ 2409.595 m

To calculate the minimum and maximum braking distances, we can use the equations of motion for a decelerating vehicle.

The equation for the braking distance of a vehicle is given by:

d = (v^2) / (2 * μ * g)

where d is the braking distance, v is the initial velocity of the vehicle, μ is the coefficient of friction between the tires and the road, and g is the acceleration due to gravity.

Let's calculate the minimum and maximum braking distances separately for small cars and large trucks.

For small cars with a mass of 563 kg:

- Minimum braking distance:

  v = 8989 km/h = (8989 * 1000) / 3600 m/s = 2496.944 m/s

  μ_min = 0.536

  d_min = (v^2) / (2 * μ_min * g) = (2496.944^2) / (2 * 0.536 * 9.8) ≈ 1773.028 m

  Maximum braking distance:

  μ_max = 0.599

  \(d_max = (v^2) / (2 * μ_max * g) = (2496.944^2) / (2 * 0.599 * 9.8) ≈ 1568.850 m\)

For large trucks with a mass of 3951395 kg:

- Minimum braking distance:

  v = 8989 km/h = 2496.944 m/s (same as for small cars)

  μ_min = 0.350

 \(d_min = (v^2) / (2 * μ_min * g) = (2496.944^2) / (2 * 0.350 * 9.8) ≈ 3285.760 m\)

  Maximum braking distance:

  μ_max = 0.480

 \(d_max = (v^2) / (2 * μ_max * g) = (2496.944^2) / (2 * 0.480 * 9.8) ≈ 2409.595 m\)

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A house of mass 500 kg is lifted 25 m by balloons.
Calculate the increase in gravitational potential energy, Ep.
(g = 10 N/kg)

Enter your answer as a number - NO units

Answers

Gpe = mgh
Gpe = 500*10*25
Gpe = 125000J

Introduction to Physical Science: Tutorial and Asking Questions
This activity will help you meet these educational goals:
. You will ask questions to identify and clarify evidence for an argument.
. You will apply scientific principles to design a process.
Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end
of the activity, write a brief evaluation of your work.
Activity
Spend time observing or thinking about events that involve matter and energy. Which events can you explain? Which
events can't you explain? Now answer the following questions.
Part A
Describe three events that you cannot explain.
BIUX X₂ 15px
AVA
Space used (includes formatting): 0/15000
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行 ≡ ≡ V 田
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Energy and matter are both conserved within natural processes. It follows that while energy and matter can adopt different forms, they cannot be produced or extinguished. Different types of matter and energy can combine, and energy and matter frequently cycle within a system.

Explain energy.

Energy is the ability to perform tasks. It could appear in numerous different forms, such as potential, kinetic, thermal, electrical, chemical, nuclear, etc. Additionally, there is heat and work, which is energy being transferred from one entity to another.

The most important source of chemical energy for sustaining life is found in food. The three states of matter—liquid, solid, and gas—are essential because matter and energy move in concert along food networks.

An ice cube composed of water, for instance, changes into liquid water when you add energy, and when you add even more energy, it turns into steam. The type of matter and the quantity of matter are the same as in the original cube, but the level of energy may be higher or lower.

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Which of the following objects had the greatest force applied to it? *

A) An object with a mass of 10 kg and an acceleration of 2.5 m/s^2
B) An object with a mass of 12 kg and an acceleration of 3.0 m/s^2
C) An object with a mass of 20 kg and an acceleration of 1.5 m/s^2
D) An object with a mass of 15 kg and an acceleration of 1.0 m/s^2

Answers

Answer:

B) is the answer

Explanation:

A) is 25 N

B) is 36N

C) is 30N

D)15N

Which of the following is the energy stored in an object as a result of its vertical position or height? Elastic potential energy Gravitational potential energy Kinetic energy Thermal energy

Answers

Answer:

Gravitational potential energy

Explanation:

Gravity would act upon it if it were not suspended.

Answer: Gravitational potential energy

Explanation: I did the quiz! Hope it helped!

Which is expected to happen during El Niño?
A) Drought conditions in Australia
B) Cool temperatures in the equatorial Pacific
C) An increase in the pressure gradient
D) Unusually high fish yields in Peru

Answers

A. Drought conditions in Australia are expected to happen during El Niño.

What is El Nino?

El Niño is a normal cycle occurrence of a change in temperatures on the surfaces of the central equatorial, and east equatorial waters of the Pacific Ocean.

The result of this phenomenon which changes the weather condition taking place on the surfaces of the Pacific Ocean is a change in the climate temperatures around the globe, and also the development of weather changes that will affect different parts of the world in different ways.

Hence, drought conditions are a period of time when an area or region experiences below-normal precipitation and El Nino's normal cycle's occurrence changes temperature.

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A distant star system is discovered in which a planet with twice the radius of the earth and rotating 3.0 times as fast as the earth orbits a star with a total power output of 5.8 x 1029 W. If the star's radius is 6.0 times that of the sun, what is the electromagnetic wave intensity at the surface? Astronomers call this the surface flux. Mean radius of the Sun is 6.96 x 109 m. Express your answer with the appropriate units. HA ? I Value Units Submit Request Answer Every planet-day (one rotation), the planet receives 9.4 x 1022 J of energy. What is the planetos distance from its star? Give your answer in astronomical units (AU), where 1 AU is the distance of the earth from the sun ΤΟ ΑΣφ ?

Answers

The electromagnetic wave intensity at the surface of the planet in the distant star system is approximately X W/m². The planet is located at a distance of Y astronomical units (AU) from its star.

To find the electromagnetic wave intensity at the surface of the planet, we need to consider the star's total power output and its radius compared to that of the Sun. The surface flux, or electromagnetic wave intensity, can be calculated using the following formula:

Surface flux = (Star's power output) / (4π × (Star's radius)²)

Given that the star's power output is 5.8 x 10^29 W and the star's radius is 6.0 times the radius of the Sun (6.0 × 6.96 x 10^9 m), we can substitute these values into the formula:

Surface flux = (5.8 x 10^29 W) / (4π × (6.0 × 6.96 x 10^9 m)²)

Simplifying the expression, we can calculate the surface flux in W/m². This gives us the electromagnetic wave intensity at the surface of the planet.

To find the planet's distance from its star, we can use the fact that the planet receives 9.4 x 10^22 J of energy every planet-day (one rotation). This energy is equal to the total energy emitted by the star over a period of one planet-day. The energy received from the star decreases with distance, following an inverse square law.

By equating the energy received from the star to the energy emitted by the star and solving for the distance, we can determine the planet's distance from its star in astronomical units (AU). The formula to calculate the distance is:

Distance = sqrt((Star's power output × Planet-day duration) / (4π × Surface flux))

Substituting the given values, we can calculate the distance in AU.

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Please help urgent - Thank you
QUESTION 2 (20 Marks) Explain the elements of the internal
environment in an organization using examples of your own.
QUESTION 3 (20 Marks) Critically examine the determ

Answers

Some of the most important elements in the internal environment of an organization are the organizational structure, the organizational culture, and the leadership style.

What elements make up the internal environment in an organization?Organizational Structure: This refers to how roles and responsibilities are organized. For example, a company may have a hierarchical structure, or it may adopt a flat organizational structure.Organizational Culture: This includes values, beliefs, attitudes, and norms. For instance, a company may foster an innovative culture or a traditional one.Leadership Style: This refers to the type of interaction between a leader and the members of the team that can be collaborative or authoritative.

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Why does ice float on water? Help I dont know what Im doing Admission tickets to Splashy Falls Water Park well for $60.00. This month, the water park is having a "buy one, get one 50% off sale. If Mox buys two tickets together during the sale, what will be the total cost of the two tickets? What is 424.4 8? show your work what is werner like? the collection of personal healthcare data by smartphone applications does not raise ethical questions as long as the smartphone user has agreed to the terms of the user agreement formal argument $5 or a lottery ticket. one paragraph Ben flipped a coin and got heads7/15of the time. If he flipped the coin 45 more times, how many times would you expect Ben to flip tails?7283524 There are three numbers for the combination to the stores safe. The first number is 17. The other two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all of the possible combinations to the safe. 11. Mikasi and Julie are determinining which size drink is the better buy per ounce.Choice A-2 pound bottie costing $3.90 orChoice B-a 36 ounce bottle for $3.05.(Hint: 1 pound = 16 ounces)Show your calculations and indicate your choice clearly. Only answer 18.19,20. PLS HELP ASAP IF U WANT POINTS ANSWER JUST TELL ME THE ANSWER AND HOW TO PLOT IT ON THE LINE NUMBER 17 IS AN EXAMPLE IG? TY A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 60 child bikes and 6 adult bikes in a week? a No, because the bike order does not meet the restrictions of 4c + 6a 120 and 4c + 4a 100 b No, because the bike order does not meet the restrictions of 4c + 4a 120 and 6c + 4a 100 c Yes, because the bike order meets the restrictions of 4c + 6a 120 and 4c + 4a 100 d Yes, because the bike order meets the restrictions of 4c + 4a 120 and 6c + 4a 100 There are 65 seats on a train. 60% of the seats are empty. How many empty seats are thereon the train? can someone help me solve this problem showing your work?! Which of the following is a way to reduce costs and strive to achieve a competitive advantage based on lower overall costs per pair sold than rival companies?A. Employing a strategy to be the market share leader in supplying private-label footwear to chain retailers.B. Being careful to keep spending for retailer support to amounts that are below the industry average in that region.C. Pursuing strategic actions that enable the company to profitability operate its plants close to full production capacity (including overtime) each year and avoid getting stuck with many pairs of unsold inventory.D. Offering buyers a wide selection of models/styles (at least 350 model styles in each geographical region).E. Avoiding bidding for celebrities-winning a celebrity contract almost always costs more than the celebrity's endorsement is worth. How did the Court distinguish between the Tinker case and the Fraser case? Solve the following quadratic equations[tex]x { }^{2} - x - 42[/tex][tex]x {}^{2} + x - 6[/tex][tex]r {}^{2} - 25[/tex] 1. If someone intentionally insults you, he or she would be guilty of committing this .A pet food manufacturer produces two types of food: Regular and Premium. A 20kg bag of regular food requires 5/2 hours to prepare and 7/2 hours to cook. A 20kg bag of premium food requires 2 hours to prepare and 4 hours to cook. The materials used to prepare the food are available 9 hours per day, and the oven used to cook the food is available 14 hours per day. The profit on a 20kg bag of regular food is $34 and on a 20kg bag of premium food is $46. (a) What can the manager ask for directly? a) Oven time in a day b) Preparation time in a day c) Profit in a day d) Number of bags of regular pet food made per day e) Number of bags of premium pet food made per day The manager wants x bags of regular food and y bags of premium pet food to be made in a day. calculate the amount of energy released in the second trial (using two cheese balls) in food calories