The speed of a car is increased uniformly from 11 meters per second to 19 meters per second. the average speed of the car during this interval is________.

The probability that she makes 6 of them is 0.242

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A basketball player has a probability = 0. 603

The player shoots 10 free throws.

Let x be a random variable that represents the number of free throws made by a basketball player.

x ≈ Binomial (n,p)

p = 0.603

n= 10

P(x=k) = [tex]_nC_k p^k (1-p)^{n-k}[/tex]

P(6)    [tex]= _1_0C_6 (0.603)^6 (1-0.603)^{10-6}[/tex]

           [tex]=210 (0.048) (0.397)^4[/tex]

           [tex]=210 (0.048)(0.024)[/tex]

           [tex]= 0.242[/tex]

Therefore, the probability that she makes 6 of them is 0.242

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The relationship between acceleration and time a(t) for the model rocket v(t)=αt³ + βt + γ, where α=−3. 0m/s4, β=36m/s2, and γ=1. 0m/s is a(t) = -9t² + 36 m/s²

The differentiation of velocity with respect to time gives acceleration.

Velocity of a rocket model is the speed acquired of the body in a particular direction.

Acceleration of the body is the change in velocity with respect to time.

v(t)=αt³ + βt + γ

On differentiating,

a = 3αt² + β

Given, α=−3. 0m/s⁴

           β=36m/s²

            γ=1. 0m/s

On subsituting,

                 a = 3(-3)t² + 36 m/s²

Hence, relationship between acceleration and time a(t) = -9t² + 36 m/s²

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Answer:

Voltage will be 1/2 original

Explanation:

V = I R        if  I  is constant

V = k R       now multiply both sides by  1/2

1/2 V  = k 1/2 R     <===== you can see the voltage is halved too

The earliest astronomical records appear to have been made by the ancient Chinese, Egyptians, and Babylonians in order to determine when to hunt plants and animals

A conceptual investigation of the properties of astronomical records and the links that exist between various types of data yields an astronomical records data model.

The paintings on cave walls that date back 30,000 years are the earliest records of astronomical observations that we have. The night sky piqued their keen curiosity in the ancient Egyptians. They were particularly captivated by two bright stars that were constantly seen orbiting the North Pole.

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If the galaxies that are being studied are very far away, it follows that the telescope with the biggest aperture possible should be used.

A telescope is a device that is used for the study of the outer space. The telescope can be mounted in an observatory and then used to observe the various galaxies that exist out there in space.

There are various kinds of telescopes that could be used for different kinds of studies that take place in outer space and these telescopes are quite responsible for the breakthroughs that we have so far experienced in the study of the occurrences in outer space.

Thus, if the galaxies that are being studied are very far away, it follows that the telescope with the biggest aperture possible should be used.

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No, because superconductivity cannot occur if there is resistance

In addition to explaining electrical resistance, equilibrium distance theory also foretells the existence of superconductivity. According to its postulates, electrical resistivity decreases with distance from the equilibrium. There is only superconductivity at zero distance, with no resistance

The ability of some materials to transmit electric current with virtually little resistance is known as superconductivity.

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Answer:

Explanation:

The Sun reaches us by propagating through the vacuum of space. Sunlight reaches the Earth in about 8 minutes and 20 seconds. When this energy reaches the Earth's atmosphere, both conduction and convection play key roles to scatter it throughout the planet.

Answer: The heat from the sun reaches us through radiation and processes such as conduction and convection helps to scatter that heat on the surface of our planet.

Explanation:

The phenomenon behind the Sun's heat reaching us is radiation. It does this by propagating through the vacuum of space.

The amount of time it takes for the sunlight to reach us on Earth is approximately 8 minutes and 20 seconds. When it reaches our planet, conduction, the movement of heat or electricity through a medium or passage, as well as convection, the rising of hotter and less dense material and sinking of colder and more dense/denser material, helps to scatter the heat on Earth's surface.

Answer:

so it could be attractive for consumers

The energy of the violet light emitted by a hydrogen atom with a wavelength of 410. 1 nm will be 4.85 * [tex]10^{-19}[/tex] J

Light energy is a form of electromagnetic radiation that comprises wavelengths that the common human eye can detect. Light is a type of kinetic energy. It consists of particles like photons, which have wave-like properties. It can affect the physiology of an organism, like photosynthesis or the sense of sight.

Energy = h*c / lambda

where

h = plank's constant  =  6.626 * [tex]10^{-34}[/tex] J-s

c = speed of light  = 3 * [tex]10^{8}[/tex] m/s

lambda = wavelength = 410. 1 nm = 410. 1  * [tex]10^{-9}[/tex] m

Energy = 6.626 * [tex]10^{-34}[/tex] *  3 * [tex]10^{8}[/tex]  / 410. 1  * [tex]10^{-9}[/tex]

            = 4.85 * [tex]10^{-19}[/tex] J

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The mural paintings at Dura-europos suggested narrative scenes were part of the component of the decoration of many late antique synagogues in this type of context.

This refers to a type of graphic work which is usually done on walls, ceilings etc. This is usually done by a professional known as a painter and uses different techniques to get the right shades and shape.

This type of painting was used at Dura-europos in which different narrative scenes served as a component for the many late antique synagogues in this aspect and context of artwork present during that period of time.

This therefore makes narrative scenes the most appropriate choice.

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The speed of the spaceship relative to the galaxy is 0.99999995c.

A light-year measures distance rather than time (as the name might imply). A light-year is a distance a light beam travels in one year on Earth, which is roughly 6 trillion miles (9.7 trillion kilometers). One light-year equals 5,878,625,370,000 miles. Light moves at a speed of 670,616,629 mph (1,079,252,849 km/h) in a vacuum.We multiply this speed by the number of hours in a year to calculate the distance of a light-year (8,766).

The Milky way galaxy is 100,000 light years in diameter.

The galaxy's diameter is a mere 1. 0 ly.

We know that ;

[tex]L = L_0 \sqrt{1-\frac{v^2}{c^2} }[/tex]

L = 1 light year

L₀ = 100,000 light year

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{(3*10^8)^2} }[/tex]

[tex]\frac{1}{100,000} = \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]v = 0.999999995[/tex] [tex]c[/tex]

Therefore, the speed of the spaceship relative to the galaxy is 0.99999995c.

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Two vectors have magnitudes of 10 and 15. The angle between them when they are drawn with their tails at the same point is 65. The component of the longer vector along the line of the shorter is 6.33 .

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

The taller component will be 15 . There will be two components taller component , one in the direction of shorter component and other perpendicular to the shorter wavelength .

The component of longer wavelength in the direction of shorter will be  

= 15 cos (theta ) = 15 cos (65) = 6.33

where theta  is the angle between both the vectors

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Reflection is the optical property of glass that allows this phenomenon.

Light can be carried along a distance within a transparent material by means of total internal reflection, with a minimum loss of amplitude.

(incident angle>critical angle light is reflected/bounces off)

When waves of light (and other electromagnetic radiation) come into contact with a surface or other boundary that does not absorb the radiation's energy, the waves bounce off the surface and back into space. The angle of incidence and angle of reflection are equal when light rays strike a flat surface, and the incident ray, the reflected ray, and the surface normal all lie in the same plane. There are three categories of reflection: glossy, specular, and diffuse.

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Twelve seconds after starting from rest a freely falling of  cantaloupe has a speed of 114 m/s

When a body moves exclusively under the influence of the Earth's gravity, it is said to be in freefall. The motion of the ball will be accelerated as a result of an external force acting on it. This free-fall acceleration is also known as acceleration due to gravity.

The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics.

from kinematic equation of motion`

v = u+ at

  =u + gt               (The acceleration for a free-falling object is g)

since, starting from rest

initial velocity = u = 0

time = 12 seconds

g= 9.81 m/ [tex]s^{2}[/tex]

v = u + gt

  = 0 + 9.8 * 12

  = 117.6 m/s

  ≈ 118 m/s

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It is the battery energy that is being depleted.

To find the answer, we need to know about the,  battery energy.

Thus, we can conclude that, It is the battery energy that is being depleted.

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A stationary observer observes a spaceship fly by. As the spaceship's velocity gets closer to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This would also lead to the feeling of a faster time on the clock.

This refers to the speed in which light waves propagate through different materials.

Hence, we can see that based on the fact that the observer is stationary and is observing a spaceship that is in outer space get to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This is because the observer would come to the conclusions that the

.

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The direction of the net electric force that acts on an electric charge at every point of an equipotential surface created by other charges must be perpendicular to the surface.

A surface with an equipotential potential is one where all points on the surface have the same electric potential. This means that at every point on the equipotential surface, a charge will have the same potential energy.

The repulsive or attractive interaction between any two charged bodies is called as an electric force. Similar to any force, its impact and effects on the given body are described by Newton's laws of motion. The electric force is among the list of other forces that exert over objects.

On an equipotential surface , the potential difference between any two points is zero. So , the work done by the electric field on a test charge moving on the surface will be zero. Therefore , the electric field must be perpendicular to the surface at every point . Hence electric force must have the same direction , that is perpendicular to the surface.

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Newton’s second law of motion states that the acceleration of a person or object is proportional to the force applied to it and inversely proportional to its mass.

Surface area and Mass

When a leaf falls, it is being accelerated by gravity to the ground but opposed by air resistance also the drag. The net force on a leaf will therefore be calculated by subtracting its weight of the leaf from its drag.

Air exerts a force known as air resistance. When an object is travelling through the air, the force works in the opposite direction.

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The wavenumber and (b) the wavelength of the radiation used by an fm radio transmitter broadcasting at 92. 0 mhz will be  31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex] and 0.032 * [tex]10^{2}[/tex] m respectively

Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength.

Wavenumber, also called wave number, a unit of frequency, often used in atomic, molecular, and nuclear spectroscopy, equal to the true frequency divided by the speed of the wave and thus equal to the number of waves in a unit distance.

wavelength = ?

frequency = 92 m Hz = 92 * [tex]10^{6}[/tex] Hz

speed of light = 3 * [tex]10^{8}[/tex] m/s

speed of light = frequency * wavelength

wavelength = speed of light  / frequency

                     = 3 * [tex]10^{8}[/tex]  / 92 * [tex]10^{6}[/tex]

                     = 0.032 * [tex]10^{2}[/tex] m

wavenumber = 1 / wavelength

                      = 1 / 0.032 * [tex]10^{2}[/tex] m

                      = 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex]

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The mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

Mechanical energy is a special class of energy that an object contains due to its relative position or motion/movement level.

This type of energy (mechanical energy) is associated with both kinetic motion energy and potential (stored) energy.

In conclusion, the mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

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The spring stiffness constant is  796.25 N/m.

A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces.

The slope of the plot of the straight line W vs x represents the spring constant, K. Weight (W) is defined as mass times the gravitational acceleration (g), where g is equal to approximately 980 cm/sec².

Mass of the fish = 2.6 kg

Length of the fisherman's scale, x = 3.2 cm

                                                          = 3.2/100 m

                                                          = 0.032 m

We have to find the value of k;

We know that,

                       F = - kx

Where k is the spring constant,

           F is the force applied over x

           x is the displacement by the spring expressed in N/m.

                       mg = - kx

                       g = 9.8 m/s²

                       [tex]K = \frac{mg}{x}[/tex]

                           [tex]= \frac{2.6*9.8}{0.032}[/tex]

                           [tex]= 796.25 N/m[/tex]

Therefore, the spring's constant is 796.25 N/m.

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The amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).

Work is done when energy is transferred from one store to another.

Work is also done when a force causes an object to move.

The amount of work done by the gravitational field of the earth do on the rock is calculated as follows;

W = Fd

where;

W = (mg)d

W = (3 x 9.8)d

W = 29.4 d

Thus, the amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).

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The charge (sign and magnitude) of a particle of mass 1.45 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 660 N/C is -2.19C

A particle with some charge moving in an electric field experience force due to electric field.

For the charged particle to remain stationary the force due to electric field and the weight of the particle should be equal.

Force due to electric field = QE

where, Q is the charge of the particle

            E is the electric field = 660N/C

Weight of the particle = mg

where, m is the mass of particle = 1.45g = 0.00145kg

            g is the acceleration due to gravity = 10m/s²

Hence, force due to electric field = weight of the particle

QE = mg

⇒ Q × 660 = 0.00145 × 10

⇒ Q = 2.19 C

Since the electric field is downward, hence to balance the charged particle, the force applied should be in the upwards direction. So, this is possible if the charge Q is negative.

So, the charged particle has a charge of -2.19C

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[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

[tex]\leadsto[/tex] The elastic potential energy of a spring can be said to be the energy possessed by a spring due to a force that compresses or stretches the spring. This can also be said to be the work which is done by the applied force against the restoring force of the spring, which is stored as the elastic potential energy.

The elastic potential of a spring can be expressed as:

▪ [tex]\longrightarrow \sf{PE= \: \dfrac{1}{2} kx}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex] \bm{PE= \: \dfrac{1}{2} kx}[/tex]

Poor communication

This is an example of a conflict based on poor communication. Because of the reason is that in customer service a person should have skills to communicate in a good manner. It is important because if the person has this skill that he can communicate with others best.

Then he can impress the customer and realize customer about the qualities of their product. In every kind of business, communication skills play major role. Therefore, both john and Henry are confused as their priorities should be on focus to improve their communication skills.

When there is a disconnect between what is said and what is heard, poor communication frequently results. In other words, the individual to whom the communication is being directed misinterprets what you are trying to convey. There is no longer mutual understanding.

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An increase in light intensity causes an increase in electric current.

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure. These electrons can be held loosely or securely depending on the situation.

Electric current is measured in a SI unit known as an ampere, or A. It is determined by assuming that the elementary charge, e, has a fixed numerical value of 1.602 176 634 x 10-19 when expressed in unit C, which is equivalent to the second in terms of VCs.

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Answer:

The forces could be gravity, friction between the car and the ground, the force Katie is applying and the normal reaction.

Answer:

[tex] \boxed{\sf54 \: kobo}[/tex]

Explanation:

Energy = Power × Time

Energy = 900× 4 ×5 = 18000 wh

Energy = 18000 wh = 18 kwh

Cost of 1 unit electricity = 3 kobo

cost of 18 unit electricity= 18 × 3 = 54 kobo

Answer:

54 Kobo

Explanation:

Units of electricity are measured in kilowatt hours (kWh).

Given information:

Convert the wattage of the electric iron from watts to kilowatts.

1000 watts (W) = 1 kilowatt (kW)

⇒ 900 watts = 1 ÷ 1000 = 0.9 kilowatts

This means that the power consumption of the electric iron is 0.9 kW per hour of use.

Total hours spent pressing clothes:

= 4 hours per week for 5 weeks

= 4 × 5

= 20 hours

Total power consumption:

= number of kW × number of hours

= 0.9 × 20

= 18 kWh

To find the total cost, multiply the total kWh by the cost per kWh:

⇒ Cost = 18 × 3 = 54 Kobo

The distance from a 27 mw point source of electromagnetic waves where the electric field amplitude 0. 060 v/m will be 21.21 m .

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are composed of oscillating magnetic and electric fields.

The highest point of a wave is known as 'crest' , whereas the lowest point is known as 'trough'. Electromagnetic waves can be split into a range of frequencies. This is known as the electromagnetic spectrum.

c = 3 * [tex]10^{8}[/tex] m/s

∈ = 8.85 * [tex]10^{- 12}[/tex] [tex]C^{2}[/tex] / N/ [tex]m^{2}[/tex]

E = 0. 060 v/m

I = P / 4π[tex]r^{2}[/tex]

Also , I = c ∈ [tex]E^{2}[/tex] /2

[tex]r^{2}[/tex] = P / 4π I                                 equation 1

substituting the value of I in equation 1

[tex]r^{2}[/tex] = 2 P / 4π (c ∈ [tex]E^{2}[/tex] )

[tex]r^{2}[/tex] = 2 * 27 * [tex]10^{-3}[/tex] / 4 * 3.14 * 3 * [tex]10^{8}[/tex] * 8.85 * [tex]10^{- 12}[/tex]  * [tex](0.06)^{2}[/tex]

r = 21.21 m

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