FILL IN THE BLANK cosmological models indicat ethat the dark matter in the universe is_____ because the universe ____

Answer:

4x + 3

Explanation:

The number of people who can go to the amusement park is 8.

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality.

Here,

The total amount they have, z = $325

Amount of parking charge, x = $11

Amount for ticket cost, y = $39.25

Let the number of people who can go to the amusement park be p.

So, the expression for the inequality can be written as,

x + yp = z

Applying the values of x, y and z,

11 + 39.25p ≤ 325

39.25p ≤ 325 - 11

39.25p ≤ 314

Therefore, the number of people who can go to the amusement park,

p ≤ 314/39.25

p ≤ 8

Hence,

The number of people who can go to the amusement park is 8.

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If the lens in a person's eye is too highly curved, this person is suffering from: nearsightedness.

lens is a piece of transparent material (such as glass) that has two opposite regular surfaces either both curved or one curved and the other plane and that is used either singly or combined in an optical instrument for forming an image by focusing rays of light.

The lens is used to form an image of an object by focusing rays of light from the object.

Various types of lenses are :

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14mg = 14 × 10^-3 g

= 14 × 10^-3 / 10^3 kg

= 14 × 10^-6 kg

= 0.014 kg

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Answer:

0.000014 kg

Explanation:

Write an expression for the x-component of acceleration of the given velocity field as a function of x, y, z, and/or t.

v={4yti-2xtj}m-s

We frequently wish to know an object's acceleration vector at any point along its trajectory in addition to its displacement and velocity vectors. This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that these are now vector quantities is the only variation in two or three dimensions. The same approach that was demonstrated in the previous chapter for one-dimensional motion can be used to tackle multidimensional motion with constant acceleration. As we previously demonstrated, motion in three dimensions is comparable to motion in three one-dimensional space along axes that are all perpendicular to one another.

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Cart A has the greatest momentum.

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. Mass and velocity are two factors that affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.

                                                        p = mv

p = momentum

m = mass

v = velocity

Cart A

m₁ = 200 kg

v₁ = 4.8 m/s

p₁ = 200 × 4.8

p₁ = 960 kg-m/s

Cart B

m₂ = 200 + 20 = 220 kg

v₂ = 4 m/s

p₂ = 220 × 4

p₂ = 880 kg-m/s

Cart C

m₃ = 200 + 40 = 240 kg

v₃ = 3.8 m/s

p₃ = 240 × 3.8

p₃ = 912 m/s

Cart D

m₄ = 200 + 60 = 260 kg

v₄ = 3.5 m/s

p₄ = 260 × 3.5

p₄ = 910 kg-m/s

Hence concluded, cart A has the greatest momentum.

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The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

The total amount of force acting on the object or body along with the direction of the body.

The formula for the resultant force vector is given by Newton's Second law.  F=ma.

here

speed, v = 25 m/s

radius, r = 0.15 km = 150 m

weight, w = 0.80 kN = 800 N

we know that,

W = m*g

800 = m * 9.8

m = 800 / 9.8

m = 81.63 kg

magnitude of the resultant force:

F = m*v^2 / r

F = 81.63 * 25^2 / 150

F = 340.13 N

F = 0.34 kN

hence,

The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

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Answer:

W1 L1 = W2 L2        equation for balancing torques

M1 g L1 = M2 L2 g

Or M2 = M1 * 1.75 / 1.22 = 1.43 M1 = 32.1 kg

The index of refraction of the medium where the speed of light is 1.24× 10⁸m/s, is 2.42.

To find the answer, we need to know about the relation between the refractive index and velocity of light.

Refractive index of the medium =

3×10⁸/1.24 x 10⁸

= 2.42

Thus, we can conclude that the refractive index of the medium is 2.42.

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Coulomb law  depicts the mathematical relationship between the electric force and the charged objects.

This law states that the electric force is directly proportional to the product of the charged objects.

The electric force is also inversely proportional to the square of the distance between the charges and is denoted below:

F= kq1q2/ r²

where :

F=electric force

k=Coulomb constant

q1, q2=charges

r=distance of separation

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As the temperature of the lead and helium is the same. Thus the average kinetic energy is also the same for lead and helium.

Reason:

It is given that a 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. It is required to compare the average kinetic energy of the lead atoms and helium atoms.

The average kinetic energy is calculated as, [tex]K=\frac{3}{2} \frac{R}{N} T[/tex].

Here K is the average kinetic energy,  R is the gas constant, N is the Avogadro's number, and T is the temperature.

As the temperature is the same for both lead and helium. As a result, the average kinetic energy is also the same for lead and helium.

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The gas giants would have to form at a larger distance from the sun this change would that imply for the formation of our solar system.

The larger gas and ice giants have a tendency to form further from the Sun because the regions closer to the Sun are too warm for the lighter gases to condense there. The gas giants' primary characteristic is their extreme distance from the Sun. Because of this, these planets kept the majority of the gas and volatiles that made up the majority of the proto-solar nebula throughout the formation of the Solar System.

In the gas-rich debris disk that envelops a newborn star, gas giants may form. Asteroids and comets collide to form a core, and once this core reaches a certain mass, its gravitational pull quickly pulls gas from the disk to form the planet.

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Two worlds in the outer solar system that seem remarkably similar to each other are: Triton and Pluto

The outer solar system comprises the next four planets and everything beyond the planet Neptune but within the gravitational pull of the Sun. The Kuiper Belt and the Oort Cloud are also parts of the outer region.

Triton is only slightly larger than Pluto. Both worlds have similar surface materials, such as nitrogen, methane and carbon monoxide. Their diameters, masses and densities are also similar. Both Triton and Pluto may also have originated within the Kuiper Belt. Triton is thought to be originally a Kuiper Belt Object that was captured by Neptune's gravity.

Because Triton and Charon-Pluto are both from the Kuiper belt they are both made of similar materials such as nitrogen, methane, carbon dioxide and water ice. Both  have large cores that are made primarily of rock with mantles of water ice and crusts made of frozen nitrogen. Neither of them have a magnetic field.

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The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.

What is the process of attaining thermal equilibrium by Earth?

The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.

We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.

Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.

A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.

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Answer: you are the person in charge of building a nuclear power plant in Florida. your first choice is to select a site for building the power plant.

Explanation: To find the answer, we need to know more about the nuclear power plants and the criteria to select the site for power plant.

Thus, we can conclude that, before building a nuclear power plant, our first choice should be to select a site.

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If the efficiency of technology was to be improved in other to reduce electrical power consumption, the sectors which would be chosen is referred to as residential and commercial.

This is defined as the application of science to the practical aims and activities of human life. Power on the hand is defined as the amount of energy which is transferred per unit time and the S.I unit is referred to as Watts.

It can be inferred that electric power consumption is most abundant in residential and commercial sectors due to the number of appliances and hours which are present and used in this area.

It is therefore appropriate to focus on these two sectors so as to achieve the aim of an efficient technology in reduction of electrical power consumption.

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An example of a solid that sunlines is a billboard.

A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements

So therefore, an example of a solid that sunlines is a billboard

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In a dry pipe sprinkler system, pressurized air or nitrogen, rather than water, is used to fill the pipes. This air maintains the closed position of a remote valve, also referred to as a dry pipe valve.

The dry-pipe valve, which is situated in a hot area, keeps water from flowing into the pipe until a fire triggers the operation of one or more sprayer. When this occurs, the dry pipe valve releases and the air leaves. After that, water enters the pipe and pours onto the flames through open sprinklers.

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Velocity of Deidre and her dog is 2.11m/s.

=2.11m/s

Thus , we can conclude that the velocity of Deidre and her dog is 2.11 m/s towards north .

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CAT IV is the lowest acceptable overvoltage category rating for an ammeter.

According to IEC 1010 and UL61010-1 standards, the overvoltage installation categories for low voltage systems of less than 1000 Volts test equipment are described by the CAT III & IV ratings. This describes a component's capacity to withstand transient or impulsive voltage. Our voltage indicators meet the necessary standards to be utilized as permanently mounted test equipment for fixed installations such switchgear, MCCs, bus and feeder in industrial plants, and low voltage connections to utility power.

A component can be positioned or utilized further downstream from the voltage source the lower the number, which also indicates how much less impulse it can withstand. Installation at the origin or at the utility level falls under CAT IV, the highest classification. Our products have a 600V at CAT IV. 

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The duty of the AHJ is to: (C). review installation designs and determine if they fall under Code jurisdiction

AHJ can be defined as that means Authority Having Jurisdiction

AHJ can be defined as an organization, office, or individual that are responsible for the issuance of permits, enforcing the requirements of a code or standard and  approving materials or a procedure.

In conclusion, The role of the AHJ are outlined in the paragraph above.

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The  4 criteria you would use to compare energy sources are;

1. It is necessary to assess whether or not they are renewable.

2. It is necessary to be aware of the amount of energy that is provided per energy source unit.

3. You have to be aware of how risky it is to utilize different types of energy sources.

4. It is necessary to be aware of the effects that various types of energy sources have on the surrounding environment.

This is further explained below.

Generally,  A source from which energy that may be used can be collected or recovered, either directly or by means of a process of conversion or transformation

In conclusion, 1. You must decide if they are renewable or not.

2. You must be aware of the amount of energy provided per unit of energy source.

3. You must be aware of the safety of using various energy sources.

4. Need to understand how various energy sources affect the environment.

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Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

Inhalation : The act of drawing air into the lungs during inspiration, also known as inhalation.

By establishing a pressure differential between the lungs and the atmosphere, it is accomplished.

The diaphragm contracts toward the abdominal cavity as air enters the lungs, creating more room in the thoracic cavity for the air to fit.

Inspiratory reserve volume is the additional volume of air that can be maximally inspired after finishing a typical, quiet inspiration.

Or the volume of air that can be inhaled following a regular breath is known as the inspiratory reserve volume.

It is denoted by IRV.

In men average IRV is 3.3 L whereas in women it is about 1.9 L

Hence, Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

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A car driving up a hill at a constant speed experiences no change in its kinetic energy while it's potential energy increases with increasing height, thus none of the options are correct.

Understanding the concept

Consider a car moving up the hill at a constant speed as shown in the figure below. The following forces act on the car:

Here as the car is moving up the hill at a constant speed, the net force exerted on the car is zero. Also, the kinetic energy of the car will not change as its velocity is constant and the potential energy will change with increasing height. Thus, none of the given options are correct.

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First electric circuit means, the circuit has elements like resistors, capacitors, and inductors along with sources. Any electric circuit comprises nodes, branches, and meshes.

The joining point of two elements is called a node. The element between two nodes is called a branch. In branch, only one series element is possible to connect but in parallel, it can have N number of elements. No branch without elements in electric circuits.

A resistor is an electrical aspect that limits or regulates the go with the flow of electrical modern-day in a digital circuit. Resistors can also be used to offer a selected voltage for an energetic device together with a transistor.

The resistor is described as. A passive electrical issue with two terminals that can be used for both limiting or regulating the glide of electric contemporary in electric circuits. the main cause of the resistor is to lessen the modern-day go with the flow and to lower the voltage in any unique part of the circuit.

A resistor works by using proscribing the float of current, it may try this in one in all 3 approaches: first off, by using a much less conductive cloth, secondly by making the conductive fabric thinner, and sooner or later by making the conductive fabric longer.

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Answer: The weight of a hydraulic barber's chair with a client is 2000 N. When the barber steps on the input piston with a force of 40 N, the output plunger of a hydraulic system begins to lift the chair. Then the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

Explanation: To find the answer, we have to know more about the Pascal's law and the hydraulic lift.

                            [tex]P_1=\frac{F_1}{A_1}[/tex]

                            [tex]P_2=\frac{F_2}{A_2}[/tex]

                          [tex]\frac{F_2}{A_2} =\frac{F_1}{A_1}[/tex]

                     [tex]\frac{A_{Plunger}}{A_{piston}} =\frac{F_{Plunger}}{F_{piston}}[/tex]

                    [tex]\frac{R_{Plunger}}{R_{piston}}=\sqrt{ \frac{F_{Plunger}}{F_{piston}}}=\sqrt{\frac{2000}{40} } =7.07[/tex]

Thus, we can conclude that, the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

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for what we can get from our side then we will see if they are being made in a letter or something which is leading enormous growth in cities with brick and its own way that it will not on the market and its not a good life for us to stay in and

Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.

Kinetic energy is represented by the following formula:

Ec = ½ mv²

Where:

In this case, you know:

Replacing in the definition of kinetic energy:

Ec = ½ 0.0232 g×(22.75 m/s)²

Solving:

Ec= 6.004 J

Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

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Given,

L=100 cm=0.1 m

D=90 cm

B=1 T

I=76 A

B*L=μnI

1 *0.1= 4π*[tex]10^{-7}[/tex]*n*76

n= 1047

So the turns of solenoid needed is 1047.

A solenoid with infinite length but finite diameter is said to be infinite. In this abstraction, the solenoid is frequently seen as a cylindrical sheet of conductive material. The term "continuous" refers to the fact that the solenoid is not made up of discrete coils with finite widths but rather numerous infinitely thin coils joined together without any gaps. An indefinitely long solenoid has a homogenous magnetic field inside of it that is independent of the cross-sectional area or the distance from the axis. This is a long enough derivation of the magnetic flux density surrounding a solenoid that fringe effects may be disregarded.

In an MRI, the magnetic field B is generated by a solenoid of length 100 cm and diameter of 90 cm. The B field generated is one (1) T. The largest current the wire can carry is 76 A. 1047 turns of solenoid is needed.

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Work done will be 825 N*m

Given:

mass of crate = 44.0 kg

horizontal force = 150 N

distance moved by crate = 5.50 m

To Find:

Work done

Solution: Work is done whenever a force moves something over a distance. You can calculate the energy transferred, or work done, by multiplying the force by the distance moved in the direction of the force.

First we want to find the work, it is given by the force applied times the distance moved, so the work is just:

W = Force x displacement

W = 150N*5.50m

W = 825 N*m

So, work done will be 825 N*m

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The velocity when function p(t)=11 is 8 .

According to the question

The position of a car at time t  represented by function :

[tex]p(t)=t^{2} +2t-4[/tex]

Now,

When  function p(t) = 11 , t will be

[tex]p(t)=t^{2} +2t-4[/tex]

11 = t²+2t-4

0 = t² + 2t - 15

or

t² +2t-15 = 0

t² +(5-3)t-15 = 0

t² +5t-3t-15 = 0

t(t+5)-3(t+5) = 0

(t-3)(t+5) = 0  

t = 3 , -5  

as t cannot be -ve as given ( t≥0)

so,

t = 3

Now,

the velocity when p(t)=11

As we know velocity = [tex]\frac{position}{time}[/tex]

therefore to get the value of velocity from  function p(t)

we have to differentiate the function with respect to time

[tex]\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)[/tex]

v(t) = 2t + 2  

where v(t) = velocity at that time

as t = 3 for  p(t)=11  

so ,

v(t) = 2t + 2  

v(t) = 2*3 + 2  

v(t) = 8

Hence, the velocity when function p(t)=11 is 8 .

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