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The value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies are x(40) + (30-x)(50) = 40x + 1500 - 50x = 1500 - 10x

The pound is a mass and weight measurement unit that is used in both the imperial and American customary systems. It is equal to 16 ounces or 0.45359237 kilograms. It is used in a variety of contexts, including engineering, commerce and finance, as well as everyday use. In the United Kingdom and other countries of the Commonwealth of Nations, it is the basis of their currency; one pound sterling is equal to 100 pence. The origin of the pound dates back to the Roman Empire, when it was known as the libra.

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According to the given statement 1500 -10x represents the equation in terms of x.

The term "pound" can also refer to a unit of mass in other situations. The pound is a unit of mass, and the international standard sign for it is lb. The weight of the mass unit (pound-mass) onto Earth's surface is about equivalent to the force unit in the "engineering" categories (middle column) (pound-force).

We are assigned the task of expressing an equation in terms of x using the provided information.

In this case, we must multiply the pounds by the number of cookies.

Where,

x=pounds × cent cookies

In light of the fact that for x pounds of 40 cent cookies.

And (30-x) pounds of 50 cent cookies

Let us form an equations in terms of x:

⇒40x+50(30−x)

⇒40x+1500−50x

⇒1500−10x

As a result, 1500 -10x represents the equation in terms of x.

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If the boy swings the toy with a linear velocity of 2m/s, the toy will move in a circle. The force required to maintain the toy's motion IS 750g * m/s^2

The linear velocity of an object moving in a circle is related to its angular velocity (measured in radians per second) and the radius of the circle. The linear velocity is given by the equation: v = r * w, where v is the linear velocity, r is the radius of the circle, and w is the angular velocity.

In this case, the radius of the circle is 0.8m and the linear velocity is 2m/s. Therefore, the angular velocity of the toy can be calculated as: w = v/r = 2m/s / 0.8m = 2.5 rad/s.

The toy has a mass of 150g and it moves in a vertical circle with a radius of 0.8m and a linear velocity of 2m/s, so it will move in a circle. The force required to maintain this motion is the centripetal force, which is given by the equation F = m * a, where F is the force, m is the mass of the toy and a is the centripetal acceleration. The centripetal acceleration is given by the equation a = v^2/r, where v is the linear velocity and r is the radius of the circle.

So, the force required to maintain the toy's motion is F = m * a = 150g * (2m/s)^2 / 0.8m = 750g * m/s^2

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The driver has to maintain the speed of 133.3 km/h for second half of the race in order to average 100km/h.

In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity. By dividing the entire distance the body has traveled by the amount of time it took to cross that distance, the average speed formula can be calculated.

To complete the race in 1 hr => 100 km/hr in a 100 km

Driver is going 80 km/hr at half way marker (50m).

Time taken to cover 50m = 50 km * (1 hr/80 km) = 5/8 hour.

Total time to complete the race on average 100 km/hr is 1 hr.  

Hence, time required to cover second half of the race => 1 hr - 5/8 hr          

                                                                                              => 3/8 hr

v= 50km/(3/8 hr) = 50*(8/3) = 133.3 km/h

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Electricity can be generated from a steam turbine and used to power a bulb as shown.

We know that the generation of electricity is largely linked to the principle of the transformation of energy or the conservation of energy which just portrays the idea that energy can neither be created nor destroyed but is converted from one form to another.

We can see that the fuel can be used to heat up the water in the image that is attached and the water is converted to steam and then the steam can be used to turn a steam turbine and electricity is produced that can be able to power a bulb.

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Answer:The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.

Explanation:

Answer:

5m/s²

Explanation:

mass of the rock = 1kg

Force = 5N

As we know that,

Force= mass*acceleration

Substitute the respective values,

5N = 1kg * a

a = 5N/1kg

a = 5m/s²

And we are done!

Answer:

Ultraviolet Radiation

Explanation:

UV radiation has the highest frequency/shortest wavelength.  

Range     Wavelength (nm)   [nm = nanometers; 10^-9m]

Ultraviolet   10-400 nm

Violet -       400-420  nm

Indigo -      420 - 440 nm

Blue -         440 - 490 nm

Green -     490 - 570 nm

Yellow -    570 - 585 nm

Orange -    585 - 620 nm

Red -          620 - 780 nm

Visible:  

The total resistance in the circuit is 120 ohms

According to Ohm's  law E= I*R

where E => Electromotive force that we know as Voltage

I refer to the Current in the circuit

From the given law, we can say that

voltage = current x resistance

so voltage in the circuit is 6v

and the current in the circuit is 0.05A

and resistance is x ohms

so

so the resistance in the circuit is 120 Ohms. The Current in the circuit is directly proportional to the voltage in the circuit at a constant resistance.

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Power is the rate at which work is done, and it is measured in watts (W). It can be calculated using the formula:

Power = Work / Time

Work can be calculated using the formula:

Work = Force x Distance x cos(theta)

where Force is measured in Newtons, Distance is measured in meters and theta is the angle between the force and displacement vectors.

As we are not giving any value for the angle between force and displacement vectors, we can assume it's zero degree, so the cos(0)=1

So we can plug in the given values to find the work done:

Work = 35 N x 20 m x 1 = 700 J

Now we can calculate power:

Power = 700 J / 5 s = 140 W

Therefore, the power of the bus is 140 Watts

Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.

The sum of an object's mass and velocity is termed as its momentum. It consists of both a magnitude and a direction, making it a vector quantity.



For the given momentum K.E. is inversely proportional to the mass. Hence, the fig with a mass of 0.04 kg has lower kinetic energy. For two bodies having same kinetic energy, the lighter one has greater momentum.

Hence, Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.

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The additional force needed to bring the car into equilibrium is equal to the mass of the car times the acceleration of the car, or F = ma.

Equilibrium is a state of balance and stability between opposing forces or actions. In economics, it refers to the point where the supply and demand for a given product or service are equal, and the market price of the product or service is stable. In physics and chemistry, equilibrium is a state in which different competing forces are balanced, so that no net change is observed. In biology, it is the ability of an organism to maintain a stable internal environment despite changes in external conditions. Ultimately, equilibrium is a state of balance, stability, and homeostasis.

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Yes, mutations in the SARS-Cov2 may make the virus more deadly to humans because they are selected to make the virus superior in an adaptive way in order to form the next generations of viruses.

The evolutionary meaning of genetic mutations in viruses and organisms is based on the fact that mutation per se is not adaptive (or beneficial), deleterious or neutral, but it depends on the enviroment in which they are and how it affects the differential reproduction of the virus.

Therefore, with this data, we can see that the evolutionary meaning of genetic mutations in viruses and organisms is the fact that after emergence may be selected to enhance the adaptive features of a virus and thus also make it more deadly to humans in the case of viruses.

Complete (correct) question:

When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.

Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.

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The nitrogen cycle is an example of Nitrogen fixation and denitrification cycle.

The nitrogen cycle is the process by which nitrogen is converted between its various chemical forms. This process is essential for life on Earth, as nitrogen is a critical component of proteins, DNA, and other molecules that make up living organisms. The cycle is comprised of four main steps: nitrogen fixation, ammonification, nitrification, and denitrification. In the nitrogen fixation step, nitrogen gas from the atmosphere is converted into ammonia (NH3) or nitrogen oxide (NOx) molecules by certain bacteria and other organisms. In the ammonification step, organic nitrogen molecules are converted into ammonia. In the nitrification step, ammonia is converted into nitrate (NO3-) and nitrite (NO2-) molecules by bacteria. Lastly, in denitrification step, nitrate and nitrite are converted back into nitrogen gas by bacteria. The nitrogen cycle is a continuous process, with nitrogen molecules cycling between its various forms.

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Discrimination on the basis of the physical appearance of a person is called physical appearance bias.

Our society has constructed a notion of physical attractiveness. It is related to the quality of the social appearance. Physically attractive people are at advantage as compared to the people who are not physically attractive. Physical appearance bias is the discriminatory behavior provided by our society to the people who are not unattractive and not so good looking. This physical attribute may be the height, weight, color of the skin, etc. This perception of discrimination of our society more often results in adverse consequences.

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Answer: a. They are universally accepted as true.

Explanation: Scientific facts must be universally accepted as true, if not they can't be accepted

Answer:The answer sir would be 180.38

Explanation:

Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm. The Centripetal acceleration will be equal to 126.684 rad/sec².

We have specified the blade's length, which is radius r = 59 meters.

Angular speed ω= 14 rpm = 2x3.14x14 = 1.4653 rad/sec

                                                 60

Finding the centripetal acceleration is necessary.

Since centripetal acceleration is determined by

αc = v²/r² = ω²r ( as v =ωr)

hence, angular acceleration

αc = 1.4653 rad/sec x59 =126.684 rad/sec².

Centripetal; the rate of acceleration will be 126.684 rad/sec².

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The electric force is a fundamental force of nature that is described by the formula which is F = qE.

The formula for electric force is  F = qE, where F is the magnitude of the force, q is the charge of the two particles, and E is the electric field vector.

The electric force is responsible for a variety of phenomena, including the attraction of particles with opposite charges and the repulsion of particles with the same charge.

This force is an important part of the electromagnetic force, which also includes the magnetic force.

Electric force is the attractive or repulsive force that exists between two electric charges.

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The surface tension of the liquid is 24.1 g/m.

To calculate the surface tension of the liquid, we can use the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

So, the surface tension can be calculated as:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

The surface tension of the liquid is 24.1 g/m.

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The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics except is pressure.

Pressure is the amount of force applied over a given area. It is measured in units such as pounds per square inch (psi). Pressure can be applied to a variety of things including gases, liquids, solids, and vacuums. It can be caused by a variety of sources, such as gravity, electromagnetic fields, and electric currents. Pressure can also be applied to change the physical properties of a substance such as its temperature, density, or viscosity. It can be used to move objects, create energy, and form objects. Pressure is an important concept in many areas of science, ranging from physics to engineering.

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The resistance at R₂ is 13 Ohms.

Resistance is a measure of the opposition to current flow in an electrical circuit. It is typically measured in units of ohms (Ω). It is the ratio of voltage across a component to the current flowing through it. A component with a high resistance allows less current to flow through it for a given voltage, while a component with a low resistance allows more current to flow for the same voltage. The resistance of a component can be affected by factors such as temperature, material, and dimensions.

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a) The speed of each seat in an amusement park ride of a rotating circular platform is calculated to be 5.57 m/s.

b) The tension in the chain if a child of mass 49.1 kg sits in a seat is calculated to be 650.79 N.

a) By drawing a free body diagram, we represent the two types of forces on the seat. They are represented by the equation, sum of forces in the y direction,

∑F = ma

T cos θ − mg = 0

T = mg / cos θ

Sum of forces in the centripetal direction,

∑F = ma

T sin θ = m v² / r

(mg / cos θ) sin θ = m v² / r

m g tan θ = m v² / r

g tan θ = v² / r

v = √(gr tan θ)

First, let us find the radius of the path,

r = 7.4 / 2 + 1.81 sin 26.6°

r =  3.7 + 1.81× 0.45 = 6.33 m

v = √(9.8 m/s² × 6.33 m × tan 26.6°)

v = √(9.8 × 6.33 × 0.5) = 5.57 m/s

b) T = mg / cos θ

T = (10 kg + 49.1 kg) (9.8 m/s²) / cos 26.6° = 579.2/0.89

T = 650.79 N

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Answer:

Below

Explanation:

Kinetic Energy = 1/2 m v^2

K.E. = 1/2 ( 3.8 kg) ( 38 m/s)^2 = 2743.6 J

According to the answer The average angular acceleration 1.3 rad/s^2.

Angular acceleration is the rate of change of angular velocity over time. It is a vector quantity, which means that it has both a magnitude and direction. Angular acceleration is usually measured in units of radians per second squared (rad/s2). The magnitude of angular acceleration indicates how quickly the angular velocity is changing, and its direction indicates the direction of the angular velocity change.

The average angular acceleration of the figure skater during this time interval can be calculated using the equation a = (Δω)/(Δt). Here, Δω is the change in angular speed during the interval and Δt is the length of the interval.

Therefore, the average angular acceleration = (7.7 rad/s - 3.2 rad/s) / 4.6 s = 1.3 rad/s^2.

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Answer:

d biomass

Explanation:

Answer:

1. The momentum of the baseball as it is released by the pitcher is 0.913 Ns.

2. The velocity of the baseball after the impulse is 9.3 m/s.

3. The average force that the catcher must apply during the 0.15 second time interval is 12.2 N.

Explanation:

1. Momentum = Force x Time = 6.2 N x 0.65 s = 0.913 Ns

2. Velocity = Momentum / Mass = 0.913 Ns / 0.145 kg = 9.3 m/s

3. Force = Change in Momentum / Time = (0.913 Ns - 0) / 0.15 s = 12.2 N

5 × 60 = 300

Therefore, you could run 300 meters in 60 seconds.

Answer:

300 meters

Explanation:

5 x 60 = 300