) how is the hubble constant (h) related to the age of the universe? hypothetically, if the value of the hubble constant were 700 km/s/mpc, what would this imply about the age of our universe?

Given Recursive equations are: a. yn+1 = −7yn + 14, y0 = 2, b. yn+1 = 0.1yn + 0.75, y0 = 0, c. yn+1 = 55yn − 11, y0 = −3Now we will find the explicit difference equation for each recursive equation and describe the graph of each equation.a. yn+1 = −7yn + 14, y0 = 2The explicit difference equation is obtained by solving the given equation for yn:yn+1 = −7yn + 14 = (-7)yn + 14This is a first-order linear homogeneous difference equation.

Its characteristic equation is z - (-7) = 0 or z + 7 = 0The characteristic equation has a root of z = -7Therefore, the explicit difference equation is: yn = c (-7)n + dwhere c and d are constants that depend on the initial conditions. We know that y0 = 2, so: yn = 2 (-7)n + dThe graph of this equation is attracting because the absolute value of the root is greater than 1. Therefore, the solution approaches 0 as n increases indefinitely.

The equation has a horizontal asymptote at y = 0.b. yn+1 = 0.1yn + 0.75, y0 = 0The explicit difference equation is obtained by solving the given equation for yn:yn+1 = 0.1yn + 0.75This is a first-order linear nonhomogeneous difference equation. Its homogeneous equation is yn+1 = 0.1ynThis equation has a characteristic equation of z - 0.1 = 0 or z = 0.1Since the root of the characteristic equation is less than 1, the homogeneous equation is converging to zero as n increases indefinitely.

Therefore, the particular solution to the nonhomogeneous equation will also approach 0. The particular solution can be obtained by setting yn+1 = c (constant). Then:yn+1 = 0.1yn + 0.75 = c0.1yn = c - 0.75yn = (c/-0.9) + (5/6)Therefore, the explicit difference equation is:yn = c (0.1)n + (5/6)where c is a constant that depends on the initial conditions. We know that y0 = 0, so:yn = 0.1c0 + (5/6)The graph of this equation is monotonic and increasing because the root of the characteristic equation is positive.c. yn+1 = 55yn − 11, y0 = −3The explicit difference equation is obtained by solving the given equation for yn:yn+1 = 55yn − 11

This is a first-order linear homogeneous difference equation. Its characteristic equation is:z - 55 = 0The characteristic equation has a root of z = 55Therefore, the explicit difference equation is:yn = c (55)nwhere c is a constant that depends on the initial conditions. We know that y0 = -3, so:yn = c (55)n - 3The graph of this equation is repelling because the absolute value of the root is greater than 1. Therefore, the solution diverges as n increases indefinitely.

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a) E = (k * q) / (4πε₀r²), E = 0 (inside hollow), E = (k * q) / (4πε₀r²) (between spheres). c) Zero charge on the inner surface. d) Charge on the outer surface is -q. e) Field lines from a small sphere radiate outwards within a spherical volume of radius 2c towards the hollow sphere's outer surface.

a) Inside the small solid sphere (r < a), the electric field magnitude is given by E = (k * q) / (4πε₀r²), where k is the Coulomb's constant, q is the charge on the sphere, and ε₀ is the permittivity of free space. Inside the hollow sphere (a < r < b), the electric field is zero due to the cancellation of charges. Between the spheres (b < r < c), the electric field magnitude remains the same as inside the small sphere. c) The inner surface of the hollow sphere carries no charge since the charges on the inner and outer surfaces cancel each other out. d) The outer surface of the hollow sphere carries a charge of -q to maintain overall charge neutrality, as it balances the positive charge on the small solid sphere. e) The field lines within a spherical volume of radius 2c originating from the small sphere extend outward towards the outer surface of the hollow sphere, following the inverse square law and indicating the direction of the electric field.

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The difference between adhesive and cohesive is that adhesive refers to the attraction between different substances, while cohesive refers to the attraction between similar substances.

Adhesive and cohesive are terms used to describe the behavior of liquids and the forces between their molecules.

Adhesive refers to the attraction between different substances. Adhesive forces between liquids and solids, for example, result in the wetting of the solid surface by the liquid. Adhesive forces can be strong or weak, depending on the properties of the substances involved. For example, water is a highly adhesive liquid and has a strong attraction to many surfaces.

Cohesive refers to the attraction between similar substances. Cohesive forces between liquids, for example, result in surface tension. Cohesive forces can also be strong or weak, depending on the properties of the liquid. For example, water has a relatively high level of surface tension due to its cohesive forces.

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The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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Answer: There is nothing here

Explanation: Could you please add a picture or something

Answer

as it is given that 1hp=746W

100W=?hp

746hp=100W   (to find the value of hp we divide 100 on both sides)

746/100=hp

hp=7.46

Given:

Two resistors each of resistance R = 60 ohms are connected in parallel.

To find the equivalent resistance of the parallel portion.

Explanation:

The equivalent resistance of the parallel circuit can be calculated by the formula

On substituting the values, the equivalent resistance of the parallel circuit will be

Thus, the equivalent resistance of the circuit is 30 ohms.

Answer: 55.0066 miles per hour

Explanation: i hope this helped, and pls mark me as brainliest

Answer:

what is the question.

Explanation:

The gravitational strength at your location is 9.71 m/s^2.

The gravitational strength, or acceleration due to gravity, can be calculated using the formula:

g = F/m

where;

In this case, F = 728 N and m = 75 kg.

g = 728 N / 75 kg = 9.71 m/s^2

This is the acceleration due to gravity at the location where you weighed yourself on the high mountain.

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Answer:

Any object moving in a circle (or along a circular path) experiences a centripetal force. That is, there is some physical force pushing or pulling the object towards the center of the circle. This is the centripetal force requirement.

Explanation:

The fundamental niche of a species can include I. the amount of sunlight available, II. the presence of competitors, and III. the amount of naturally occurring viruses.

The fundamental niche is the range of environmental conditions under which a species can survive, grow, and reproduce without competition. The amount of sunlight available is an essential factor as it influences photosynthesis for plants and plays a role in temperature regulation, affecting the habitats of many organisms. In contrast, the presence of competitors is not part of the fundamental niche, as it relates to the realized niche, which is the actual niche that a species occupies, considering competition and other factors.

The amount of naturally occurring viruses can be included in the fundamental niche, as it impacts a species' survival and reproduction rates, limiting its potential range. Thus, while the amount of sunlight and naturally occurring viruses are part of a species' fundamental niche, the presence of competitors relates more to the realized niche. So therefore the correct answer is IV. all above, the amount of sunlight available, the presence of competitors, and the amount of naturally occurring viruses, is the fundamental niche of a species.

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Based on the provided statement An electrocardiogram (ECG) is a device that records and visualizes the electrical impulses causing the heart cycle.

The human heart's activity from the start of one pulse to the start of the next is known as the cardiac cycle. It comprises two phases a diastole, when the heart relaxes and re-fills with blood, and a systole, in which the cardiac muscle contracts forcefully and pumps blood.

Atrial systole is the first phase of the cardiac cycle, which is followed by ventricular systole, atrial diastole, and ventricular diastole before the cycle restarts.

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The work required to reduce the velocity of the truck from 21.0 m/s to 15.0 m/s on a level road is \(3.10 * 10^5 J.\)

What is work?

Work is defined as the measure of energy that is transferred to or from an object through an external force. Work is a scalar quantity that has only magnitude and no direction. The symbol for work is W, and its unit of measurement is Joule (J).

Formula to calculate work:

W = Fdcosθ

where W is work done, F is the force applied is the displacement, cosθ is the angle between the force and the displacement.

The work done in slowing down the truck is given by the difference between the kinetic energy before and after the truck is slowed down.

W = KEi - KEf = 0.5 * \(mvf^2 - 0.5 * mvi^2\)

where KEi is the initial kinetic energy KE, f is the final kinetic energy, m is the mass of the truck, v is the final velocity of the truck, vi is the initial velocity of the truck.

Calculation of work done

Initial Kinetic Energy (KEi)

\(= 0.5 * mvi^2= 0.5 * 2135 * 21^2= 2.16 * 10^6 J\)

Final Kinetic Energy (KEf)

\(= 0.5 * mvf^2\\= 0.5 * 2135 * 15^2\\= 1.18 * 10^6 J\)

Work Done = KEi - KEf

\(= 2.16 * 10^6 - 1.18 * 10^6\\= 0.98 * 10^6 \\ =9.8 * 10^5 J\\= 3.10 * 10^5 J (approximate)\)

Hence, the work required to decrease the speed of the vehicle from 21.0 m/s to 15.0 m/s on a level road is \(3.10 * 10^5 J\).


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When a light rain falls after oil and gasoline have leaked onto the road surface, it can cause the car to become less responsive and more difficult to control.

This is because the oil and gasoline act as a slippery layer on the road surface, which reduces the friction between the tires and the road. The rainwater can then mix with the oil and gasoline, making the layer even more slippery and reducing the vehicle's grip on the road.

To help mitigate this issue, drivers should be aware of their surroundings and the potential for slippery surfaces, and should adjust their speed and driving accordingly. Additionally, using tires with greater tread, or using more aggressive tires designed for wet and slippery conditions, can also help increase the vehicle's grip on the road.

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Given two objects of the same mass but of different sizes, the one that has a greater density is: a. the smaller object

Due to the density of an object is the relation that exist between the mass and the space that the object occupies, if we have two objects with the same mass the one that is going to have a greater density is the smaller object because it occupies less space with more mass.  

We can prove it using the density formula to solve the following exercise:

Two objects have a mass of  100 g, and their volume are 20 cm³ and 10 cm³ respectively, what is the density of each one?

The general formula of the density is:

d = m/v

Where:

Information about the problem:

Applying the density  formula we get:

d = m/v

d1 = 100g/20 cm³

d1 = 5g/cm³

d2 = 100g/10 cm³

d2 = 10g/cm³

With the results we can confirm that the object that has the greater density is the smaller, because it has less volume.

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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Answer:

do explain what u need help with?

Answer:

Acceleration = 9.8m/s²

Explanation:

Given the following data;

Initial velocity = 0m/s (since it's starting from rest).

Final velocity, v = 14.7m/s

Time, t = 1.5 seconds.

To find acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

\(Acceleration = \frac{v - u}{t}\)

Substituting into the equation, we have;

\(Acceleration = \frac{14.7 - 0}{1.5}\)

\(Acceleration = \frac{14.7}{1.5}\)

Acceleration = 9.8m/s²

Therefore, the average acceleration of the golf ball is 9.8m/s².

The mass of the iron nail is expected to increase after being coated in a layer of rust.

Rust is a compound that forms when iron reacts with oxygen and water. The chemical formula for rust is typically Fe₂O₃·nH₂O. When an iron nail is exposed to moisture and oxygen in the air, a process called oxidation occurs, leading to the formation of rust on the surface of the nail.

During the formation of rust, the iron atoms in the nail combine with oxygen atoms to form iron oxide compounds. Since oxygen atoms have a greater atomic mass than iron atoms, the overall mass of the iron nail increases as more and more iron atoms react with oxygen to form rust.

Therefore, when the iron nail is weighed after being coated in a layer of rust, it is expected to have a higher mass compared to its initial mass. The increase in mass is attributed to the addition of oxygen atoms from the surrounding environment during the oxidation process.

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V = I • R

V = (0.054 A) • (152 ohms)

V = 8.208 volts

None of the listed choices is correct.

During the global economic recession of the early 1980s and early 1990s, atmospheric carbon dioxide concentrations continued to rise despite a slowdown in emissions. So emissions and concentrations are continuously increasing. Here option A is the correct answer.

Although emissions from fossil fuel combustion and other human activities decreased during the economic downturns, the rate of decrease was not significant enough to slow the overall rise in atmospheric carbon dioxide concentrations.

This is because carbon dioxide has a long residence time in the atmosphere, and the cumulative effect of past emissions continues to drive up concentrations even if emissions slow down temporarily. This phenomenon highlights the fact that reducing greenhouse gas emissions is a necessary but not sufficient condition for addressing climate change.

Achieving significant reductions in greenhouse gas concentrations will require sustained and aggressive emissions reductions over a long period, along with other efforts such as reforestation, carbon capture and storage, and changes in land use and agricultural practices.

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Answer:

168

Explanation:

56 x 3

have a nice day

The correct equation for the time it takes for a disk to complete one full rotation, given an angular acceleration of α, is option D: t = sqrt(2π/α).

To understand why, we can use the kinematic equation that relates angular acceleration (α), angular velocity (ω), and time (t) for an object undergoing rotational motion:

ω = αt

In one full rotation, the initial angular velocity is zero (as the disk starts from rest) and the final angular velocity becomes a full revolution, which is 2π radians. So we have:

2π = αt

Solving for t, we get: t = 2π/α

Thus, the correct equation for the time it takes for the disk to complete one full rotation is t = sqrt(2π/α). This equation represents the relationship between the angular acceleration and the time required for the disk to make a complete revolution.

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original taste

Explanation:

islam new jersey

Answer:

The customary system is the system of measurement that is primarily used in the U.S. units in this system include the inch, foot, mile, pound, and also the cup.

The metric system is the system of measurement primarily used in science and in countries outside of the U.S. Units in this system include the meter, liter, and also gram.

Explanation:

I hope this works. :DD

I prefer using Customary system because its already in our country and easier for use because its easier for us to learn

Newton's law of universal gravitation tells us that all particles are attracted to each other with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of their distance apart. Hence, the answer to the question is true.

The statement on the question is in line with Newton's law of universal gravitation, which states that "the force of attraction between two objects with masses m1 and m2 is directly proportional to the product of their masses and inversely proportional to the square of their distance apart. The 'force of attraction' stated in the law the law is gravity. Mathematically, it is written as:

                         \(F= G\frac{m1*m2}{d^{2} }\)

    where G is the universal gravitational constant.

This means that the force of gravity between two particles increases as the mass of the particles increase, and gravity exponentially reduces as the distance between the two particles increase.

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The least important intelligence from Gardner's theory for a car salesperson would likely be the Intrapersonal Intelligence.

Gardner's theory of multiple intelligences suggests that individuals possess different types of intelligences, including linguistic, logical-mathematical, spatial, bodily-kinesthetic, musical, interpersonal, intrapersonal, naturalistic, and existential intelligence.

Intrapersonal Intelligence refers to self-awareness and understanding one's own thoughts, emotions, and motivations. It involves introspection, reflection, and the ability to set goals and manage oneself effectively. While this intelligence is valuable in many professions and aspects of life, it may not be as crucial for a car salesperson.

In the context of a car salesperson's role, other intelligences such as interpersonal intelligence, linguistic intelligence, and perhaps even logical-mathematical intelligence are likely to be more important. Effective car salespeople need to possess strong interpersonal skills to build rapport with customers, communicate persuasively, and understand their needs and preferences.

Additionally, linguistic intelligence is valuable for effective communication and conveying product knowledge. Logical-mathematical intelligence can aid in understanding financing options or calculating costs, although it may not be as central to the role as interpersonal and linguistic intelligences. While intrapersonal intelligence is valuable in various contexts, it may be less critical for a car salesperson's success.

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Answer:

b.positive and decreasing in magnitude.

Explanation:

The kinematics of a body can be calculated by means of the following expression.

\(v_{f}=v_{o}-g*t\)

where:

vf = final velocity [m/s]

vo = initial velocity = 40 [m/s]

g = gravity acceleration = 9.81 [m/s²]

t = time [s]

As we can see from the above equation, the final velocity of a body decreases its initial velocity as time increases. That is, as the body rises, the velocity decreases.