when the current has magnitude 3.00 aa , at what rate is energy being stored in the capacitor?

Answers

Answer 1

The rate at which the energy being stored in the capacitor when the current has magnitude 3.00 ampere is 9.00 microwatts.

The formula for the rate of energy stored in a capacitor:
Power = (1/2) * C * V^2 * dV/dt
where C is the capacitance, V is the voltage across the capacitor, and dV/dt is the rate of change of voltage with respect to time.

Since the current has magnitude 3.00 A, we know that the rate of change of charge with respect to time (dQ/dt) is also 3.00 C/s, because current is defined as the rate of change of charge with respect to time (I = dQ/dt).

The voltage across the capacitor is related to the charge on the capacitor (Q) by the formula:
V = Q/C
where C is the capacitance.

Differentiating both sides with respect to time, we get:
dV/dt = (1/C) * dQ/dt

Substituting this expression into the formula for power, we get:
Power = (1/2) * C * (Q/C)^2 * (dQ/dt)/C

Simplifying, we get:
Power = (1/2) * (Q^2/C)

Substituting the value of dQ/dt and the capacitance of the capacitor, we get:
Power = (1/2) * (Q^2/C) = (1/2) * (3.00 C/s)^2 * (2.00 uF) = 9.00 uW

Therefore, the rate at which energy is being stored in the capacitor is 9.00 microwatts.

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Related Questions

what produces keratin that starts the death of skin cells

Answers

Answer:

Keratinocytes are the predominant cell type of epidermis and originate in the basal layer, produce keratin, and are responsible for the formation of the epidermal water barrier by making and secreting lipids.

Answer:

Keratinocytes, which are cells in the epidermis, produce keratin, which helps create a protective barrier on the skin's outer layer [1]. As the keratinocytes produce keratin, they start to die, leading to the death of the skin cells.

A simple pendulum of length l. whose bob has mass m, oscillates with a period T. If the bob is replaced by one of mass 4.0 m, the period of oscillation is
a. .25 T
b. .50 T
c. T
d. 2 T
e. 4 T

Answers

(c) T. The period of oscillation remains unchanged even when the mass of the bob is increased to 4.0m.

The period of oscillation of a simple pendulum is primarily determined by its length (l) and the acceleration due to gravity (g). The mass of the bob does not play a significant role in the oscillation period. The formula for the period of a simple pendulum is given by:
T = 2π √(l/g)
In this scenario, the mass of the bob is initially m, and the period is T. When the mass of the bob is replaced by one with mass 4.0m, the formula for the period remains the same since the mass does not influence the period:
T' = 2π √(l/g)
Comparing the initial period (T) and the new period (T'), we can see that both formulas are identical, which means the period remains the same:
T = T'
Hence, the correct answer is (c) T. The period of oscillation remains unchanged even when the mass of the bob is increased to 4.0m.

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How do waves interact with our senses?

Answers

Answer:

well sound waves interact with our ears and light interacts with our vision

Explanation:

Answer:

Hearing employs air or water waves, whereas sight uses the electromagnetic spectrum. The electrical and chemical neural impulses are sent through the human auditory nerve to the brain once the mechanical energy of the sound waveform is converted into neurological stimulation.

Some students set up a circuit and decided to measure the voltage at different points around
the circuit. (Assume all the resistance are the same.)
What was the voltage reading shown on Voltmeter 1,2 and 3? If you know the answer please explain bc I have no idea :)

Some students set up a circuit and decided to measure the voltage at different points aroundthe circuit.

Answers

Answer:

 V₁ = 6 V ,  V₂ = V₃ = 3 V

Explanation:

To solve this circuit we must remember that there are two fundamental types of construction in series and parallel.

* a serial circuit there is only one path for current

in this circuit the constant current in the entire circuit and the voltage is the sum of the voltage of each term

* Parallel circuit in this there are two or more paths for the current

in this circuit the voltage is constant and the east is divided between each branch

with these principles let's analyze the proposed circuit

The DC battery is in parallel with resistor R1 and the equivalent of the other branch,

as in a parallel circuit the voltage is constant

               V₁ = 6 V

in the other branch (23) it forms a series construction, where the current is constant

               6 = iR₂ + iR₃

as they indicate that each resistance has the same value

              6 = 2 iR

              V = V₂ = V₃ = 3 V

Without using afood flask, suggest another ways would you keep food warm a till to the hospital

Answers

Another way to keep food warm till you arrive at the hospital is by putting the food in a foil and wrapping it up with a towel to retain the heat.

What is Food preservation?

Food preservation is defined as the process by which a cooked food or process food is kept in such a way that microorganisms cannot affect their taste and texture.

To prevent a cooked food from getting cold, you can put the food in an aluminium foil and wrap it with a towel to prevent heat loss.

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the value of velocity ratiio is greater than the value of mechanical advantage​

Answers

Answer:

The mechanical advantage of a machine is always less than its velocity ratio.It is because mechanical advantage decreases due to the friction and weight of moving parts of the machine, but the velocity ratio remains constant.

How does a telescope work

Answers

Answer:

Most telescopes, and all large telescopes, work by using curved mirrors to gather and focus light from the night sky. ... The bigger the mirrors or lenses, the more light the telescope can gather. Light is then concentrated by the shape of the optics. That light is what we see when we look into the telescope.

Explanation:

Answer:

Early telescopes focused light using pieces of curved, clear glass, called lenses. However, most telescopes today use curved mirrors to gather light from the night sky. The shape of the mirror or lens in a telescope concentrates light. That light is what we see when we look into a telescope.

how to work one

Aim the telescope at an astronomical target. Pick a bright object, such as the moon or a star. Raise or lower the tube, and move it from side to side to point the telescope in the target’s general direction. Look through the finder scope. Adjust the orientation of the telescope to center the object in the finder scope.

hope it helped have a nice day <3 ^_^

The maxim 'actus non facit reum, nisi mens sit rea' illustrated the elements required in order to constitute a crime. Yet the principle to imposed criminal responsibility on strict liability offences connoted a contradicting intent. The most worrying trend posed is that strict ability offences have frequently not been afforded any defence, where a conduct is sufficient to be held liable for the offence committed even he has no guilty mind.
Justify your stand over the application of the offence above by citing your own reasons. Do you agree with the application of such offence or not. Support your reason with relevant law authorities.

Answers

I agree with the application of such offenses where criminal responsibility is imposed on strict liability offenses because it is needed to protect public welfare, promote safety, and deter potential harm.

What are strict liability offenses?

Strict liability offenses are those in which liability is imposed without requiring proof of intent or guilty mind. These offenses focus on the act itself rather than the mental state of the offender. The rationale behind strict liability offenses is often rooted in the need to protect public welfare, promote safety, and deter potential harm.

An argument in favor of strict liability offenses is that they ensure accountability for certain actions that pose a significant risk to society, even in the absence of intent or mens rea. By placing the burden on individuals to adhere to certain standards or regulations, strict liability offenses can help prevent accidents, protect public health, and maintain order.

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Calculate the weight of a book if it has a mass of 0. 6kg

Answers

Answer:

a) given that mass=0.6kg,distance of stretching from equilibrium position x=0.9m from new ton's second law,F=ma where a is acceleration of the body.Therefore,force on the spring -mass syste

Explanation:

hope it helps

A bowling ball with a mass of 7.0kg strikes a pin that had a mass of 2.0kg the pin flies forward with a velocity of 6.0m/s, and the ball continues forward at 4.0 m/s. What was the original velocity of the ball?

Answers

The conservation of momentum P states that the amount of momentum remains constant when there are not external forces.

We don't have external forces, so:

\(P_0 = P_1\\m_bv_{0b}+m_pv_{0p}=m_bv_{1b}+m_pv_{1p}\\\)

Where:

mb is the mass of the bowling ball mp the mass of the pin\(v_{0b}\quad and\quad v_{0p}\) the initial velocities of the bowling ball and the pin.\(v_{1b}\quad and\quad v_{1p}\) the final velocities of the bowling ball and the pin.

Solving for v0b:

\(v_{0b} =\dfrac{m_bv_{1b}+m_pv_{1p}- m_pv_{0p}}{m_{b}}\\\\v_{0b} =\dfrac{(7\;kg)(4\;m/s)+(2\;kg)(6\;m/s)- (2\;kg)(0 \;m/s)}{7\;kg}\\v_{0b}=\dfrac{40}{7}\;m/s\\\\\boxed{v_{0b}\approx5.71\;m/s}\)

R/ The original velocity of the ball was 5.71 m/s.

The original velocity of the ball is 5.71 m/s.

The principle of conservation of momentum: In a closed system, The total momentum before collision is equal to total momentum after collision.

From the principle of conservation of momentum,

MU+mu = MV+mv.................... Equation 1

Where M = mass of the bowling ball, m = mass of the pin, U = initial velocity of the bowling ball, u = initial velocity of the pin, V = final velocity of the bowling ball, v = final velocity of the pin.

From the question,

Given: M = 7 kg, m = 2 kg, u = 0 m/s (at rest), v = 6.0 m/s, V = 4 m/s.

Substitute these values into equation 1 and solve for U

7(U)+2(0) = 7(4)+2(6)

7U = 28+12

7U = 40

U = 40/7

U = 5.71 m/s.

Hence, The original velocity of the ball is 5.71 m/s.

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Water flowing through an 8-cm-diameter pipe enters a porous section, as in fig. p3.10, which allows a uniform radial velocity vw through the wall surfaces for a distance of 1.2 m. if the entrance average velocity v1 is 12 m/s, find the exit velocity v2 if (a) vw

Answers

The exit velocity of water flowing through an 8 centimetres in  idiameter pipe s Vw= 0.05 m/s = 5 cm/s out

(a) For a

suction velocity

of V{w} = 0.15m / s , and a

cylindrical suction

surface area, 2 A{W} = 2pi RL=2π(0.04)(1.2) = 0.3016 m²

From

continuity equation

, Q1=Qw +Q₂

VIA=VwAw+V2A2

(12)(π )(0.08 )²/4 = (0.15)(0.3016) + V2 (π )(0.08 )²/4 V2=3 m/s

(b) For a

smaller wall velocity

, Vw = 0.10 m/s,

(12)(π )(0.08 )²/4 = (0.10)(0.3016) + V2 (π )(0.08 )²/4 V2= 6 m/s

(c) Setting the outflow V2 to 9 m/s, the

wall suction velocity

is,

(12)(π )(0.08 )²/4 = (Vw)(0.3016) + (9)(π )(0.08 )²/4

Vw= 0.05 m/s = 5 cm/s out

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Devise an investigation to examine how entropy is related to the transfer of thermal energy in a system.

I just need help coming up with an experiment. I can't think of anything.

Answers

Heat transport (delta Q) reduced by temperature equals the change is entropy (delta S) (T). the environment's and the system's entropy for a particular physical process.

What is the relationship between temperature and entropy?

Entropy rises in proportion to temperature. Molecules as well as the frequency of random activity are excited by the addition of more energy to a system. Entropy rises as the gas in a system grows.

Quizlet: When energy is converted to thermal energy, what happens to entropy?

Exactly, as directed electric energy is converted to randomly oriented heat energy, entropy rises. Random thermal energy typically has high entropy. An external power supply that is advertised as being 100% effective at converting electrical energy to thermal energy is sold by one business.

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16. PHYSICS The height h of a falling object is given by h = vt - gt2, where vis the initial velocity of the object, t is time, and g is the gravitational constant. Solve for v.​

Answers

The value of v; initial velocity is determined as, v = h/t + gt.

What is initial velocity of an object?

The initial velocity of an object is the velocity of the object before the effect of acceleration, which causes the change of velocity.

h = vt - gt²

to solve for v (the initial velocity) we will make v the subject of the formula.

h + gt² = vt

divide both sides of the equation by t

h/t + gt  = v

Thus, the value of v; initial velocity is determined as, v = h/t + gt.

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what happens to a light wave that hits the surface of a pool

Answers

When a light wave hits the surface of a pool, some of the light will be reflected off the surface, while the rest will be absorbed by the water and pass into the pool. The angle at which the light hits the surface will determine how much light is reflected and how much is absorbed. If the light hits the surface at a perpendicular angle (90 degrees), most of the light will be reflected, resulting in a strong, sharp reflection on the surface of the pool. If the light hits the surface at a shallow angle (less than 90 degrees), more of the light will be absorbed by the water, resulting in a weaker or distorted reflection on the surface.

The light that is absorbed by the water will continue to travel through the water, but its intensity will decrease as it travels. This is due to a process called absorption, where the water molecules absorb the energy from the light and convert it into heat. The deeper the light travels into the pool, the more the water will absorb the light, and the dimmer the light will become.

Additionally, the light that enters the pool may be scattered by particles or other objects in the water, which can cause the light to spread out and become less focused. This can cause the light to appear blurry or distorted when viewed from different angles. The color of the light may also be affected by the water, as different colors of light have different wavelengths and are absorbed by the water at different rates. This can cause the light to appear different colors when viewed from different depths in the pool.


What is the atomic number the atom shown?
A. 3
B. 13
C. 14
D. 27

What is the atomic number the atom shown?A. 3B. 13C. 14 D. 27

Answers

Answer:

13

Explanation:

Brainlest pls

Answer:

B-13

Explanation:

The protons listed in the atom are 13, and the protons are the same number as the atomic number.

I need help with questions #2 and #3

I need help with questions #2 and #3

Answers

Answer:

Im sorry i can't read it is to small

What is the electric potential at a point midway between two charges, -4.11 microC and -8.06 microC, separated by 21.94 cm?

Answers

The electric potential of a point charge is given by:

\(V=k\frac{q}{r}\)

where q is the charge and r is the distance between the charge and the point of interest. In this case we have two charges, then to calculate the total potential on a point we need to add the individual potential of each charge.

For both charges the point of interest is at 0.1097 m, then we have:

\(\begin{gathered} V=(9\times10^9)(\frac{-4.11\times10^{-6}}{0.1097})+(9\times10^9)(\frac{-8.06\times10^{-6}}{0.1097}) \\ V=-0.997\times10^6 \end{gathered}\)

Therefore, the electric potential midway of the charges is:

\(V=-0.997\times10^6\text{ V}\)

Dadas dos sustancias con distinta densidad, las cuales se mezclan, formarán una nueva sustancia con una densidad.....

Igual a la suma de las densidades de ambas sustancias
Igual a la suma de las densidades de ambas sustancias

Igual a la diferencia de las densidades de ambas sustancias
Igual a la diferencia de las densidades de ambas sustancias

de la cual no puedo predecir nada sobre su valor
de la cual no puedo predecir nada sobre su valor

de un valor intermedia a ambas sustancias el cuál dependerá de que sustancia esté en mayor cantidad
de un valor intermedia a ambas sustancias el cuál dependerá de que sustancia esté en mayor cantidad

Answers

Answer:

Explanation:

Equal to the sum of the densities of both substances

Equal to the sum of the densities of both substances

Equal to the difference in the densities of both substances

Equal to the difference in the densities of both substances

of which I cannot predict anything about its value

of which I cannot predict anything about its value

of an intermediate value to both substances which will depend on which substance is in greater quantity

of an intermediate value to both substances which will depend on which substance is in greater quantity

Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 94 kg, and the mass of the woman is 52 kg. The woman pushes on the man with a force of 56 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman

Answers

In this scenario, when the woman pushes the man with a force of 56 N due east, the man and the woman will experience equal magnitudes of acceleration, but in opposite directions.

The magnitude of acceleration for both the man and the woman is approximately 0.596 m/s². The man will accelerate westward, while the woman will accelerate eastward.

According to Newton's third law of motion, when the woman pushes on the man with a force of 56 N, an equal and opposite force of 56 N is exerted by the man on the woman. These forces are referred to as action-reaction pairs.

To find the acceleration of the man and the woman, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a).

For the man:

The net force acting on the man is the force exerted by the woman, which is 56 N. Therefore, we have 56 N = (94 kg) * a_man. Solving for a_man, we find a_man = 56 N / 94 kg ≈ 0.596 m/s².

The acceleration of the man is approximately 0.596 m/s², and since the force is in the east direction, the man will accelerate westward.

For the woman:

Similarly, the net force acting on the woman is the force exerted by the man, which is also 56 N. Thus, we have 56 N = (52 kg) * a_woman.

Solving for a_woman, we get a_woman = 56 N / 52 kg ≈ 0.596 m/s². The acceleration of the woman is approximately 0.596 m/s², and since the force is in the east direction, the woman will accelerate eastward.

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MARKING BRAINLIEST Which type of weather is associated with high pressure?

Clear skies
Clouds
Rain
Thunderstorms

Answers

Answer:

Clear Skies

Explanation:

Answer:

clouds

Explanation:

this is the best answer

List and explain at 5 hazards
of radioactivity​

Answers

Answer:

1 can damage  chromosomes  

2 reduction in white blood cells ( will recover In Couple of days )

3  sickness

4 Temporary Reduction of Resistance.

Have a great Day!!

Developing an action plan is part of which of the seven health skills? O advocacy O communicating O setting goals O making decisions​

Answers

Developing an action plan is part of making decisions​ on the seven health skills, which are fundamental in healthcare.

What are the seven health skills?

The seven health skills can be defined as different aptitudes required to set healthcare decisions.

These health skills include:

Advocacy    Assessing Influences/Resources.Communication.Decision Making.Setting objectives

 

In conclusion, developing an action plan is part of making decisions​ on the seven health skills, which are fundamental in healthcare.

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A force unit is defined as the product of a mass unit and a unit of

acceleration.


time.


velocity.

displacement.

Answers

Answer:

A force unit is defined as the product of a mass unit and a unit of acceleration.

Answer:

Force can be defined as a push or a pull that changes or tends to change the state of rest or uniform motion of an object or changes the direction or shape of an object.

Explanation:

Force = M (Mass) * A (Acceleration)

The SI unit of Mass = KG

S.I. unit of acceleration is m/sec/sec = m/sec2

Hence, Unit of force is Kg m/Sec2

Since force is used so often, S. I. gives this unit a special name:

1 Newton = 1 kg m/sec2

Which of the following is a vector quantity?

a. distance

b. time

c. speed

d. displacement

Answers

Answer:

d. displacement

Explanation:

Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

if your threw the javelin from an original height of 2 m how long does it take the javelin to reach the graound

Answers

If you throw a javelin from an original height of 2 meters, it will take about 0.64 seconds to reach the ground.

The time it takes for an object to fall to the ground is given by the equation:

\(t = \sqrt{(2h / g)}\)

where:

t is the time in seconds

h is the initial height in meters

g is the acceleration due to gravity (9.8 meters per second squared)

In this case, h = 2 meters, so the time it takes the javelin to reach the ground is:

t =\(\sqrt{(2 * 2 / 9.8) }\) = 0.64 seconds

Therefore, it will take about 0.64 seconds for the javelin to reach the ground.

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HELP!!

What is the resultant displacement?
A. The product of two vectors.
B. Vector addition.
C. The shortest distance from start to finish.
D. The difference between two vectors.

Answers

Answer:

When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity. If two or more velocity vectors are added, then the result is a resultant velocity. If two or more force vectors are added, then the result is a resultant force.

a motorcycle is being driven on a road moving north at 40 miles per hour. a car is driving on the same road moving south at 40 miles per hour. which of the following is true? a the motorcycle and car are moving at the same velocity and the same speed. b the motorcycle and the car are moving in opposite directions, so their velocities are different. c the motorcycle and the car are moving in opposite directions, so their speeds are different. d the motorcycle and car are moving at the same velocity but different speeds.

Answers

The motorcycle and the car are moving in opposite directions, so their velocities are different.

What is speed?

Speed is the rate in which anyone travel.

In everyday use and in the kinematics, the speed of to every objects is the magnitude of the change of  its own  positions over the time  or the magnitude of the change of its position per unit of the  time;  thus a scalar quantity.

A motorcycle is being driven by to the north on a road moving in the north at 40m  per 1 hour. A car is driving on the same height the  road moving at the  south at 40m  her 1 hour.

The motorcycle and a car are moving in to the opposite directions, so the velocities are  different from each other.

As north and south both are  opposite directions.

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Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.

Answers

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

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The force of ________, in conjunction with the wind, is the cause of most waves.

Answers

The force of friction, in conjunction with the wind, is the cause of most waves.

The ocean is never still whether you observe it from a boat or from the beach, we tend to see waves always on the horizon. Waves are created by energy passing via water, causing it to move in a circular motion.

Waves transmit energy, not water. Waves are most commonly used by wind, and wind-driven waves are created by the force of friction. As wind blows across the surface of the blue ocean, the tendency to cause waves increases. You can see these types of waves anywhere on the ocean, on a lake or a river, globally.

Also, the gravitational force of the sun and the moon causes waves, These waves are well known as tides or tidal waves.

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What is this question

What is this question

Answers

Its the last option, all options are correct
Hope this helps and good luckk on ur examsss :))))
It’s the last option :)
Have a nice day
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why did henry confess to willson? why did't he make a full confession what is motion? give 3 examples 4) An 873kg dragster, starting from rest, attains a speed of 26.3m/s in 0.590s.A) What was the acceleration of the dragster?B) What was the net force needed to accelerate the dragster?C) Assume that the driver has a mass of 68.0kg. What horizontal force does the seat exert onhim? ProjectProvide your project in s00-600 words (S marks]A Khobar (Dammam)-based cement company, SaudiReadymix, that is a global leader in cement,building materials, related technologies, and researchrecently decided to redesign its procurementorganization and recognized that policies and procedureswere an important part of this process.The company consists of several cement operations Iocatedin several regions of the Kingdom ofSaudi Arabia. Each operation had established decentralizedprocurement processes. 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One of the recommendations made by the team was to enhance the current process; improvements were needed to eliminate or reduce current issues and reduce the purchase order cycle time for a tighter distribution, thus reducing the mean cycle time and the effort to achieve this.Question: In order to providing guidance and direction to Saudi Readymix, list and explain at leastfour characteristics to be applied for effective polkies in the company. what does ponyboy to do because he missed so much school? Match the job titles to the tasks.aeronautical engineeranimatorwebpage designercommercial photographercreates storyboards based on clientsneedsassesses proposals for airplane designsto determine if they meet standardsuses special equipment and techniquesto capture imagescreates software code, graphics, andmultimedia elements for websites summer foods is a public corporation that is experiencing difficulty growing its vegetable products during an especially dry summer season. wanting the flexibility to make decisions for restructuring the company's operations, its managers buy all the stock, which means the company is help me help me help me help me help me 9) Write an equation in point-slope form for the given point and slope: Point: (-8, 3)Slope: 6 THTONFOUR [10 MARKS] Helean Algebra Theorems 41. Write the two De-Morgans theorems [2 MARKS] 42.Use the two theorems to simplify the following expressions 4.2.1. \( X=\overline{\overline{A(B+\bar{A}) Stephani German, a 40-year-old woman, plans to retire at age 65, she wants to accumulate $500,000 over the next 25 years to supplement the retirement programs that are being funded by the federal government and her employer. She expects to earn an average annual return of about 5% by investing in a low-risk portfolio containing about 20% short-term securities, 30% common stock, and 50% bonds.Stefani currently has $44,300 that at a 5% annual rate of return will grow up about $150,000 by her 65th birthday (the $150,000 figure is found using time value of money techniques, Chapter 4 appendix). Stefani consults a financial advisor to determine how much money she should save each year to meet her retirement savings objective. The advisor tells Stefani that if she saves about $20.95 each year, she will accumulate $1,000 by age 65. Saving 5 times that amount each year, $104.75, allows Stefani to accumulate roughly $5,000 by age 65.How much additional money does Stefani need to accumulate over time to reach her goal of $500,000?How much must Stefani save to accumulate the sum calculated in part a over the next 25 years? Denise has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back? Did he send the letter? in passive voise what are some connections or similarities of HIV and AIDs? the function that has no two arrows that start in the domain point to the same element of the co-domain is called: In a box, there are 8 red, 7 blue and 6 green marbles. One marble is picked up randomly. What is the probability that it is not red or green?Write your answer as a fraction, decimal, or percent (NOT ALL THREE). After Germanys unification in 1871, industrialization accelerated andsurpassed the US becoming first in steel production.industrialization continued mainly in the west.workers for industrial jobs were difficult to find.constructed vast networks of railroads. can any one helP please ??? Select the correct statement regarding a chemical synapse.O Neurotransmitters are held in vesicles in the postsynaptic cell.O Sodium ions enter the axon terminal to signal release of neurotransmitters.O The presynaptic membrane is in direct contact with the postsynaptic membrane.O Receptors for neurotransmitters are found in the membrane of the postsynaptic cell. Out of the 25 students in Mrs. Coulter's class, 15 are girls. In the school there are 390 boys. If the ratio of boys to students in Mrs. Coulter's class is proportional to the ratio of the number of boys in the school to the total number of students in the school, how many students are at the school?