A certain electronic company supplies electricity to residential customers for a monthly charge of $10.00 plus 7.5 cents per kilowatt-hour for up to 1000 kilowatt-hours.
a) Write a linear equation that relates the monthly charge C, in dollars, to the number x of kilowatt-hours used in a month, 0
≤
x
≤
1000.
b) Sketch a graph of the equation.
c) Determine the monthly charge for using 200 kilowatt-hours.
d) Determine the monthly charge for using 500 kilowatt-hours.
e) Interpret the slope of the line.

It's important to know that a comet has a tale, a nucleus, and a coma.

The nucleus refers to the center of the "head" of the comet.

Hence, the answer is Nucleus.

part a.  the wavelength of this wave  is 26 cm

part b. The amplitude (A) of a wave is 9 cm

The wavelength (λ) of a wave is described as the distance between two consecutive points on the wave that are in phase.

In this scenario, the distance between two corresponding points on the wave will be equal to the horizontal distance from crest to trough, which is 26 cm.

Hence, the wavelength of the wave is: λ = 26 cm

The amplitude (A) of a wave is described as the maximum displacement of a particle from its rest position as the wave passes through it.

In this scenario, the vertical distance from crest to trough is 18 cm, which is equal to twice the amplitude.

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Answer:Materials that absorb light are called pigments. Pigments are colored substances that absorb certain wavelengths of light and reflect others. For example, a red pigment absorbs all colors of light except red, which it reflects. Materials that reflect light are called reflective materials. Reflective materials are materials that reflect light instead of absorbing it. Examples of reflective materials include aluminum foil and mirrors. Some materials, such as glass, are transparent and allow light to pass through them

(a)

In order to calculate the tangential speed, we can use the formula below:

(b)

The force that acts on the star to keep it moving around the center is the centripetal force, and it's calculated with the formula below:

Answer:

The S.I unit of G must be m³/kg.s² to keep the equation consistent.

Explanation:

We have the equation:

F = Gm₁m₂/r²

where,

F = Gravitational Force between Two Bodies

G = Gravitational Constant

m₁ = Mass of 1st Body

m₂ = Mass of 2nd body

r = Distance between the Bodies

The S.I Units of the quantities are:

F = Newton = kg.m/s²

m₁ = kg

m₂ = kg

r = meter = m

G = ?

Therefore, to find the units of Gravitational Constant (G), we substitute the known units in the formula:

kg.m/s² = G(kg)(kg)/m²

G = m³/kg.s²

Mission control is an exciting career that involves managing space missions from the ground.

Mission control is an exciting career that involves managing space missions from the ground. I chose this career because of my interest in space exploration and the opportunity to contribute to the advancement of space technology.

Some questions that could be asked about this career include:

What qualifications are required to become a mission control specialist?

What kind of training do mission control specialists undergo?

What are the typical responsibilities of a mission control specialist during a space mission?

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Answer:

An ohmic conductor is defined as one which obeys ohm's law that is V ∝ I where is the voltage and is the current. There must be a linear graph. Silver is an example of an ohmic conductor as the graph for silver is a linear graph. Silver and copper are some examples of ohmic conductor

    I think I would most likely remember car, level, dog, and book. I think I would remember these words because car and level came first, I love dogs, and I like reading books. I can associate something with dogs and books so it helps me remember those words.

           [Visual encoding is when people remember things by pictures in their head, but I have aphantasia so I am honestly not the best person to answer this question

Answer:

A student is conducting a pendulum experiment. Which of the following pieces of safety equipment would be the most vital to conduct this test?

Explanation:

Answer:

the ans is D.... good luck

Answer:

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Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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Answer:

Mass was added to the water particles, resulting in deposition.

Explanation:

Answer:  The energy was removed from the water particles resulting in condensation

Explanation Think about when you leave a cup of ice of and after a while you see water droplets thats what happened to the grass in the morning and thats called condensation.

Answer:

the velocity of the Marty's Jump is 5 m/s.

Explanation:

Given;

mass of Marty, m₁ = 8 kg

mass of the boat, m₂ = 40 kg

velocity of the boat, u₂ = 1 m/s

Let the velocity of the Marty's Jump = u₁

Apply the principle of conservation of momentum;

m₁u₁ = m₂u₂

u₁ = m₂u₂/m₁

u₁ = (40 x 1) / (8)

u₁ = 5 m/s.

Therefore,  the velocity of the Marty's Jump is 5 m/s.

250 Newton is net force .

mass= 50 kg

a= 5m/s²

force=ma

force=50×5

force=250 N

In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).

Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.

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Explanation:

The momentum of an object is given by the product of its mass and velocity with which it is moving. It can be given by :

p=mv

Mass is a scalar quantity and velocity of an object is a vector quantity. As a result, the momentum of an object is vector quantity.

Hence, the correct option is (c) "It is a vector quantity because it involves magnitude and direction."

Answer: b. Ultraviolet Light

Explanation:

Electromagnetic wave is defined as the wave which is associated with both electrical and magnetic component associated with them. They can travel in vacuum as well and travel with the speed of light.

The electromagnetic radiations consist of radio waves, microwaves, infrared ,Visible , ultraviolet, X rays and gamma rays arranged in order of increasing frequency and decreasing wavelengths.Thus ultraviolet light has more energy than visible light as energy and frequency are directly proportional.

Ultraviolet Light is more energetic than visible light, and have potential to damage skin cells and lead to skin cancer.

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Answer:

c h i c k e n n u g g e t s . . . . . .

jk its 2.6

To find the tensions T1 and T2 in the shoestrings, we use the component method and set up equations for the x- and y-components of the forces. By assuming that T1 and T2 have the same magnitude, we can solve for T and find that T1 and T2 are both approximately 8.66 lbs. To verify this, with weights representing the forces and confirm that the table balances.

Let T1 and T2 be the tensions in the shoestrings. Since the person pushes downward at an angle of 60 degrees to the right with a force of 20 lbs, we can represent this force as a vector F with components

Fx = 20 cos(60) = 10 lbs

Fy = -20 sin(60) = -17.32 lbs (negative because it points downwards)

The tensions in the shoestrings can be represented by vectors T1 and T2. Since the shoestrings are tied to the shoes, the tensions must be perpendicular to the shoes. Therefore, we can represent T1 and T2 as follows

T1x = T1 cos(90) = 0

T1y = T1 sin(90) = T1

T2x = T2 cos(90) = 0

T2y = T2 sin(90) = T2

Using the component method, we can add the x-components and y-components of the forces to get

ΣFx = T1x + T2x + Fx = 0 + 0 + 10 = 10 lbs

ΣFy = T1y + T2y + Fy = T1 + T2 - 17.32 = 0

Since the shoestrings are tied together at the shoes, we know that T1 and T2 have the same magnitude

T1 = T2 = T

Substituting this into the second equation, we get

T + T - 17.32 = 0

Solving for T, we get

T = 8.66 lbs

Therefore, the tensions in the shoestrings are both approximately 8.66 lbs.

To verify this, we can set up the forces on the table to match the forces acting on the shoestrings. We can use a weight of 20 units to represent the force applied by the person, and two weights of 8.66 units each to represent the tensions in the shoestrings.

We can arrange the weights so that one tension weight is at an angle of 60 degrees to the right and the other is at an angle of 30 degrees to the left. If the forces are in equilibrium, the force table should balance. By adjusting the weights, we can confirm that the force table does indeed balance, verifying our calculated tensions.

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--The given question is incomplete, the complete question is given

" While tying his shoes, a person holds the

shoestrings at the angles at 60 degree to right and pushes downward

with a force of 20 lbs. Use the

component method to determine the

tensions T1 and T1 in each shoestring.

Verify your answer "--

The change in friction force experienced by the car is

The friction is caused between two uneven contacting surfaces.

When car is on ice, the friction force is

f = μ N

f₁ = 0.2 x 14500 = 2900N

When the car is on dry road, the friction force is

f₂ = 0.8 x 14500 =11,600 N

The change in friction force =11600 - 2900 = 8700N

Thus, the change in friction force experienced by the car is  8700N.

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The hypothesis is, the thickness of transparent glass affects how much light passes through. Option A is correct.

A hypothesis is a proposed explanation or prediction for a phenomenon or observation that is based on limited evidence and subject to testing and validation through further investigation. It is an essential part of the scientific method, which involves developing a research question, making observations, and forming a hypothesis to explain the observed phenomenon.

The hypothesis should be testable, falsifiable, and based on evidence and reasoning. Testing the hypothesis involves designing experiments and collecting data, which can either support or refute the hypothesis. If the hypothesis is supported by the data, it may be further developed into a scientific theory, which is a widely accepted explanation of a natural phenomenon that has been extensively tested and validated. Option A is correct.

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Answer:

The equivalent resistance is 2 ohms.

Explanation:

let the first resistance = R₁ = 10 ohm

let the second resistance = R₂ = 10 ohm

let the third resistance = R₃ = 10 ohm

let the fourth resistance = R₄ = 10 ohm

let the fifth resistance = R₃ = 10 ohm

The equivalent resistance is calculated as;

\(\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} + \frac{1}{R_5} \\\\\frac{1}{R_T} = \frac{(R_2R_3R_4R_5)+(R_1R_3R_4R_5)+(R_1R_2R_4R_5) +(R_1R_2R_3R_5)+(R_1R_2R_3R_4)}{R_1R_2R_3R_4R_5} \\\\R_T = \frac{R_1R_2R_3R_4R_5}{(R_2R_3R_4R_5)+(R_1R_3R_4R_5)+(R_1R_2R_4R_5) +(R_1R_2R_3R_5)+(R_1R_2R_3R_4)} \\\\R_T = \frac{(10^5)}{(10^4)+(10^4)+(10^4)+(10^4)+(10^4)} \\\\R_T = \frac{10^5}{5(10^4)} \\\\R_T = \frac{10}{5} \\\\R_T = 2 \ ohms\)

Therefore, the equivalent resistance is 2 ohms.

The acceleration of Thomas is 0.233 m/s^2.

Acceleration is the rate of change of velocity. Thomas the Train chugs along at a velocity of 2 m/s.

Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s.

We are to find the acceleration of Thomas.

The formula for acceleration is given as :

acceleration = (final velocity - initial velocity) / time

In the given problem, the initial velocity of Thomas, u = 2 m/s.

The final velocity of Thomas, v = 4.33 m/s The time for which Thomas accelerates, t = 10 s.

Therefore, the acceleration of Thomas will be given as:

a = (v - u) / ta = (4.33 - 2) / 10s => 2.33 / 10s => 0.233 m/s^2

Thus, the acceleration of Thomas is 0.233 m/s^2.

To summarize, the acceleration of Thomas is 0.233 m/s^2.

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Answer:

W = 0.842 J

Explanation:

To solve this exercise we can use the relationship between work and kinetic energy

         W = ΔK

In this case the kinetic energy at point A is zero since the system is stopped

         W = K_f                (1)

now let's use conservation of energy

starting point. Highest point A

          Em₀ = U = m g h

Final point. Lowest point B

         Em_f = K = ½ m v²

energy is conserved

         Em₀ = Em_f

         mg h = K

to find the height let's use trigonometry

at point A

            cos 35 = x / L

            x = L cos 35

so at the height is

            h = L - L cos 35

            h = L (1-cos 35)

we substitute

           K = m g L (1 -cos 35)

we substitute in equation 1

           W = m g L (1 -cos 35)

let's calculate

           W = 0.500 9.8 0.950 (1 - cos 35)

           W = 0.842 J

Answer:

The current in the coil is 4.086 A

Explanation:

Given;

radius of the circular coil, R = 2.5 cm = 0.025 m

number of turns of the circular coil, N = 740 turns

magnetic field at the center of the coil, B = 0.076 T

The magnetic field at the center of the coil is given by;

\(B = \frac{N\mu_o I}{2R}\)

where;

μ₀ is permeability of free space = 4 x 10⁻⁷ m/A

I is the current in the coil

R is radius of the coil

N is the number of turns of the coil

The current in the circular coil is given by

\(B = \frac{N\mu_o I}{2R} \\\\I = \frac{2BR}{N\mu_o} \\\\I =\frac{2*0.076*0.025}{740*4\pi*10^{-7}} \\\\I = 4.086 \ A\)

Therefore, the current in the coil is 4.086 A

Option D. This action cause the skateboarders motion to change because it increases the force of friction so she slows down.

This is the force that opposes motion or cause a moving object to stop or slow down.

Ff = μmg

where;

Ff is frictional force

The frictional force between the skateboard and the hill increases with increase in weight of the skateboard.

As the skateboarder applies the force on one edge of the skateboard, the applied to the skateboard increases which in turn increases the frictional force between the skateboard and the hill, reducing the speed of the skateboarder.

Thus, this action cause the skateboarders motion to change because it increases the force of friction so she slows down.

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