a parallel-plate capacitor has plates of area 0.35 m2 and a separation of 2.6 cm. a battery charges the plates to a potential difference of 150 v and is then disconnected. a dielectric slab of thickness 7.0 mm and dielectric constant 8.1 is then placed symmetrically between the plates. what is the initial capacitance before the dielectric is added?

Answers

Answer 1

The initial capacitance before the dielectric added is: 3.085x10-10 F

The initial capacitance before the dielectric is added to a parallel-plate capacitor with plates of area 0.35 m2 and a separation of 2.6 cm is given by the formula C =  ε0 A/d, where ε0 is the vacuum permittivity (8.854x10-12 F/m) and d is the separation between the plates. Therefore, the initial capacitance is

\(8.854x10-12 x 0.35 / 0.026 = 3.085x10-10 F.\)


When a dielectric slab of thickness 7.0 mm and a dielectric constant of 8.1 is placed between the plates, the capacitance increases. This is because the electric field between the plates is reduced due to the dielectric slab, which results in a decrease in the electric potential difference between the plates.

The capacitance of a parallel plate capacitor with a dielectric is given by the formula\(C = εr ε0 A/d,\) where εr is the relative permittivity of the dielectric. Therefore, the capacitance with the dielectric present is \(8.1 x 8.854x10-12 x 0.35 / 0.026 = 2.546x10-9 F.\)


In summary, the initial capacitance before the dielectric is added is 3.085x10-10 F, while the capacitance with the dielectric present is 2.546x10-9 F.

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Related Questions

Which of the following are signs that an endothermic reaction is taking place

Answers

Answer:

positive delta H (enthalpy/heat change)

temperatures drop

Explanation:

eg water changing state to ice is an endothermic reaction

Answer:

Some signs that an endothermic reaction is taking place are if:

- the container holding the reaction feels cold to the touch

- the change in enthalpy is positive

- the total heat of formation is positive

Which is not a benefit of a sporting organization? a. To control all of the people in the community b. Bringing people together and social interaction c. Promote a healthy lifestyle

Answers

Answer: a. To control all of the people in the community

Explanation:

The sport organization help in bring people of different communities together. It removes any kind of discrimination based on caste, gender, race, and others. People are united in a single team to bring about unity in them. The sport organization does not control the people in the community instead can bring change in their thinking and opinion about people of the other community. The sports activities are recreational in nature, they build social interaction between people of different communities, control good health, make communities safer.  

Why would poor clusters of galaxies be more likely to have irregular shapes then rich
clusters

Answers

Other clusters with hundreds to thousands of galaxies are called rich clusters. The low mass of a poor cluster prevents the cluster from holding onto its members tightly. The poor cluster tends to be a bit more irregular in shape than a rich cluster. Each large spiral has several smaller galaxies orbiting them.

These Milky Way companion galaxies are easily visible from dark locations in the Southern Hemisphere. Prime examples of erratic galaxies are the Large and Small Magellanic clouds (left and right, respectively).

What clusters of galaxies likely to have irregular shapes?

In comparison to a rich cluster, the poor cluster typically has a slightly more erratic shape. A number of smaller galaxies orbit each major spiral. The Small and Large Magellanic clouds are the two most well-known examples of atypical galaxies.

When two galaxies collide, irregular galaxies frequently result. This unusual Cartwheel Galaxy was created when a tiny galaxy slid through the centre of a massive spiral galaxy.

Therefore, Rich clusters are other clusters that include hundreds to thousands of galaxies. A weak cluster can't cling to its members strongly because of its low bulk.

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Lab: Kinetic Energy What is the purpose of the lab, the importance of the topic, and the question you are trying to answer? What is your hypothesis (or hypotheses) for this experiment? What methods are you using to test this (or each) hypothesis? Section II: Data and Observations Locate the data and observations collected in your lab guide. What are the key results? How would you best summarize the data to relate your findings? Do you have quantitative data (numerical results or calculations)? Do you have qualitative data (written observations and descriptions)? How can you organize this date for your report? Section III: Analysis and Discussion What do the key results indicate? If you constructed graphs, what trends do they indicate in your data? Were there any problems with the experiment or the methods? Did you have any surprising results? Section IV: Conclusions What do the results tell you about your hypothesis(es)? How do the data support your claim above? If you could repeat the experiment and make it better, what would you do differently and why?


Pls hurry!!!!!!!! Worth 100 pts!

Answers

What was the lab doing what were you doing. Just write about your lab can I see a picture though

How much power flows through a circuit with 5 amps and 120 volts?

Answers

600 watts may be your answer:)

a firefighter is helping the woman shown in the figure below. the woman's weight is 120 lb. what's the tension (in lb) in the rope connecting the woman to the firefighter?

Answers

The tension in the rope is equal to the weight of the woman, which is 120 lb. Since the woman is not accelerating, the forces acting on her must be balanced, meaning the tension in the rope must equal her weight. Therefore, the tension in the rope is 120 lb.

What is tension?

Tension is a state of mental or emotional strain, resulting from opposing forces or influences. It is a feeling of inner strain caused by a clash of emotions, ideas, or beliefs. It can also result from physical causes such as a lack of sleep, worry, physical exertion, and even hunger.

Tension can manifest itself in physical symptoms such as headaches, neck pain, muscle tightness, and fatigue. It can also lead to emotional problems such as anxiety, irritability, and depression. It is important to recognize and address tension in order to maintain good mental and physical health.

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PLEASE HELP THIS IS DUE LIKE HELP ME PLEASE

On the image at the right, select the point where the pendulum swings fastest. Then, select two points with a velocity is zero.

PLEASE HELP THIS IS DUE LIKE HELP ME PLEASE On the image at the right, select the point where the pendulum

Answers

Answer:

At the end points of motion (either side) the velocity must be zero because the velocity is changing from - to + (it can't turn around around without passing thru zero,

The velocity will then increase to the midpoint of the motion.

m g h = 1/2 m v^2    where h is the vertical distance thru which the pendulum travels

What is the function of the thesis statement?

to explain your opinion and the main ideas

to introduce your topic and main ideas

to persuade the reader to think or act a certain way

to summarize the information in the essay

Answers

Answer: A thesis statement states the main idea of an essay or assignment.

Explanation: A thesis statement is put in the introduction of a writing assignment to tell the reader the opinion or judgement of the writer. What the writer infers about a book or personal experience. Examples are argumentative essays or literary device essays.

A ball of mass m is attached to the end of a string of length L. If the ball is swung in a vertical circle with uniform speed v, calculate the ratio of the tension Tt in the string when the ball is at the top of its path to Tb when the ball is at the bottom of its path. A) TbTt=1(LO:4,21,24) B) TbTt=Lv2+gLv2−g(LO:4,13,16,19,21,23,24) C) TbTt=Lv2−gLv2+g(LO:13,16,19,21,23,24) D) TbTt=1−v2gL(LO:4,13,16,21,23,24) E) TbTt=1+v2gL(LO:4,13,16,21,23,24) F) TbTt=Lv2−gLt2 G) TbTt=Lv2+gLν2

Answers

The ratio of the tension Tt in the string when the ball is at the top of its path to Tb when the ball is at the bottom of its path is given by the expression TbTt = 1 - v²/gL. Therefore, the correct option is D.

When a ball of mass m is swung in a vertical circle with uniform speed, it follows a circular path with radius R, which is equal to the length of the string L. The gravitational force provides the centripetal force required to keep the ball moving in a circle.The tension T in the string can be calculated at the top and bottom of the circular path by resolving the forces acting on the ball. At the top, the weight of the ball acts downwards, and the tension acts upwards.

Hence, the net force is the centripetal force, which is given by

mv²/R - mg = mv²/L

The tension Tt can be calculated by resolving the forces vertically, which givesTt - mg = mv²/LTt = mv²/L + mg ------------ (1)

At the bottom of the path, the weight of the ball acts downwards, and the tension acts upwards. Hence, the net force is the centripetal force, which is given bymv²/R + mg = mv²/LThe tension Tb can be calculated by resolving the forces vertically, which gives

Tb + mg = mv²/LTb = mv²/L - mg ------------- (2)

Taking the ratio of equations (1) and (2), we get

TbTt = (mv²/L - mg)/(mv²/L + mg)

TbTt = (v²/gL - 1)/(v²/gL + 1) TbTt = 1 - v²/gL

The expression TbTt = 1 - v²/gL gives the ratio of the tension Tt in the string when the ball is at the top of its path to Tb when the ball is at the bottom of its path. Hence, the correct option is D.

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If a toy train has a mass of 1.5 KG and accelerates at a rate of 20 M/S 2 calculate force acting on it?

Answers

Answer:

F = 30 N

Explanation:

Given that,

Mass of a toy train, m = 1.5 kg

The acceleration of the toy-train, a = 20 m/s²

We need to find the force acting on it. We know that, net force acting on an object is given by :

F = ma

Substitute all the values,

F = 1.5 × 20

F = 30 N

Hence, the net force acting on the toy train is equal to 30 N.

Our atmosphere developed as a result of volcanic eruptions, why aren't there higher traces of atmospheric carbon dioxide, one of the principal volcanic gases?

Answers

Large quantities of dust from the volcanic eruption's surrounds are released into the atmosphere. Materials like volcanic ash and gases also accompany eruptions.

These gases make a significant contribution to the atmospheric greenhouse gas inventory.

Volcanoes' explosivity during eruptions is mostly caused by the gases inside of them. A volcano might be more explosive the more gases it contains. There is a lot of carbon dioxide, methane, etc. in these gases. They are overwhelmingly greenhouse gases.

An eruption is also accompanied by dust particles. The wind has the ability to hang this particles for a long time in the sky.

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Help please!!! List five general things we get from natural resources?

Answers

Answer:

Paper, clothing, fuel, cans, and jewelry

Explanation:

A student makes a solution of 45 mL of acid and 350 mL of water. What is the concentration of acid in the solution? Mark only one oval.
7.8 %
12.9 %
.129 %
78.7% ​

Answers

The concentration of acid in the solution would be 11.4%. None of the options is correct.

Concentration determination

To determine the concentration of acid in the solution, we need to calculate the ratio of the volume of acid to the total volume of the solution and express it as a percentage.

Volume of acid = 45 mL

Volume of water = 350 mL

Total volume of solution = Volume of acid + Volume of water = 45 mL + 350 mL = 395 mL

Now, let's calculate the concentration of acid:

Concentration of acid = (Volume of acid / Total volume of solution) * 100

Concentration of acid = (45 mL / 395 mL) x 100 ≈ 11.4%

In other words, the concentration of acid in the solution is approximately 11.4%.

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A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters​

Answers

Answer:

133.33 mm

Explanation:

First we need to find the volume of the sphere. The volume of a sphere is given by:

V = (4/3) * pi * r^3

With a radius of 10 cm, we have:

V = (4/3) * pi * r^3 = 4188.79 cm3

The sphere will be moulded into a cylinder, so the volume will be the same. The volume of a cylinder is:

V = pi * r^2 * h

Where h is the height of the cylinder, and for this case, it will be the length.

The radius is the same old radius, so we have:

4188.79 = pi * 10^2 * h

h = 4188.79 / 100pi = 13.3333 cm

In millimeters, we have h = 133.33 mm

period of the planet’s motion about the star is 781 days. what is the mass of the star? the value of the universal gravitational constant is 6.67259 × 10−11 n · m2 /kg2 . answer in units of kg.

Answers

The mass of the star is 2.332 × 10³⁰ kg.

To find the mass of the star, we can use Kepler's Third Law, which states that the square of the period of a planet's orbit is proportional to the cube of the semi-major axis of its orbit, which in turn is proportional to the sum of the masses of the planet and the star. Mathematically,

T^2 = (4π^2/G(M+m))a^3,

where T is the period of the planet's orbit, G is the universal gravitational constant, M is the mass of the star, m is the mass of the planet (which we can assume to be negligible compared to the star), and a is the semi-major axis of the planet's orbit.

We are given T = 781 days and G = 6.67259 × 10⁻¹¹ N·m²/kg². We also know that a is related to the period and the mass of the star by the formula

a = (G(M+m)/4π²)¹/₃

Since m is negligible compared to M, we can approximate a by

a ≈ (GM/4π²)¹/₃

Substituting T and a into Kepler's Third Law, we get

781² = (4π^2/GM)a³
M = (4π²/G)(a³)/781²
M = (4π²/6.67259 × 10⁻¹¹)(a³)/781²
M = 2.332 × 10³⁰kg,

where we have used the fact that one astronomical unit (AU), which is the average distance between the Earth and the Sun, is approximately 1.496 × 10¹¹ meters. Therefore, the mass of the star is approximately 2.332 × 10³⁰ kg.

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Plz do all of it i will give brainlest and thanks to best answer
plz do it right

Plz do all of it i will give brainlest and thanks to best answerplz do it right

Answers

Answer:

d

Explanation:

Answer:

Earth absorbs heat from the sun.

Explanation:

This radiation is absorbed by greenhouse gases which then radiate energy into all directions including downwards and thereby trapping heat in the atmosphere.

Hope you have a good day :)

a current of 2a is switched on for 8 seconds calculate how much charge flows

Answers

Answer:

16C

Explanation:

since current=CHARGE/TIME

THEREFORE CHARGE=TIME X CURRENT

=2X8

=16C

What is the density of a 14.4 g of chromium in a rectangle with a volume of 2 cm3?​

Answers

Answer:

\(density = \frac{mass}{volume} \\ \\ density = \frac{14.4}{2} \\ \\ { \boxed{ \boxed{density = 7.2 \: g {cm}^{ - 3} }}}\)

(a) Calculate the majority and minority carriers for each side of an N+P junction if ND = 2 x 10^17 /cm3 for the n side, and NA = 10^14/cm3 for the p side. Assume the semiconductor is Si and the temperature is 300K. (b) In which direction are the minority carriers moving in each side? (c) Which minority carriers will result in the greatest current due to the electric field (electrons or holes)

Answers

a). The concentration of free electrons is 2 × 10¹⁷/cm³.

b). p-side is the majority carrier, electrons are the minority carrier, and they are moving towards the n-side of the junction.

c). Electrons would generate the greatest current due to the electric field.

a) Calculation of majority and minority carriers for each side of an N+P junction:

For the n-side: The concentration of donor impurities, ND = 2 × 10¹⁷/cm³;

Therefore, the concentration of free electrons, n = ND = 2 × 10¹⁷/cm³

Since Si has a total of 4 valence electrons, it forms covalent bonds with four neighboring atoms, which share a single electron each.

Hence, silicon has a valence electron density of 4 atoms/cm³, and the total concentration of electrons in the n-type side is:

nn = n + (concentration of thermally generated electrons)

nn = 2 × 10¹⁷/cm³

For the p-side: The concentration of acceptor impurities, NA = 10¹⁴/cm³

Therefore, the concentration of free holes, p = NA = 10¹⁴/cm³

Since Si has a valence electron density of 4 atoms/cm³, the total concentration of holes in the p-type side is:

pp = p + (concentration of thermally generated holes)pp = 10¹⁴/cm³

b) Since the n-side is the majority carrier, holes are the minority carrier, and they are moving towards the p-side of the junction.

In contrast, since the The minority carrier, electrons, are travelling from the p-side of the junction to the n-side. The p-side is the majority carrier.

c) The flow of current in a semiconductor is determined by the drift of charge carriers. In an electric field, both holes and electrons will move in opposite directions, with the direction of their movement determined by the direction of the electric field.

However, the mobility of electrons is higher than that of holes, which implies that the concentration of electrons and their mobility are responsible for the flow of current in a semiconductor. As a result, electrons would generate the greatest current due to the electric field.

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which of the following best describes the image produced by a flat mirror?

Answers

The best description of the image produced by a flat mirror is:"The image formed by a flat mirror is virtual, upright, and laterally inverted."

When an object is placed in front of a flat mirror, the mirror reflects the light rays from the object. The reflected rays appear to originate from behind the mirror, creating a virtual image. The image appears upright, meaning it has the same orientation as the object. However, the image is laterally inverted or reversed from left to right compared to the actual object.

The virtual image formed by a flat mirror has the same size as the object, as there is no magnification involved. The image appears to be located the same distance behind the mirror as the object is in front of it.

It is important to note that the image produced by a flat mirror is not formed by the convergence or divergence of light rays but by their reflection.

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Which describes the image distance I for the image produced by a flat plane mirror?

hello, for everyone who has taken the PHYSICS ACT TEST, what topics shou,d i focus on? and ehat do you advise me studying?

Answers

When preparing for the Physics ACT test, it is important to focus on the core concepts of physics such as kinematics, forces, energy, work, linear momentum, rotational motion, gravity and thermodynamics.

What is kinematics?

Kinematics is the branch of classical mechanics that studies the motion of objects without considering the forces that cause the motion. It is concerned only with the description of motion, and deals with the position, orientation, velocity, and acceleration of objects in motion.

Kinematics can be used to describe the motion of objects in a variety of ways, such as linear motion, angular motion, and dynamic motion. It is also used to calculate the trajectory of objects.

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a wire of radius 6 mm and length 400 m is melted into a sphere calculate the radius of the sphere in centimetres​

Answers

Answer:

22.6 cm

Explanation:

The volume of the wire is equal to the volume of the sphere. The volume of a cylinder (the wire) is given by the formula V = πr^2h, where r is the radius and h is the height (length). The volume of a sphere is given by the formula V = 4/3πR^3, where R is the radius of the sphere.

Let’s first convert the radius of the wire from millimeters to meters:

6 mm = 0.006 m.

The volume of the wire is then V = π(0.006 m)^2(400 m) = 0.04524 m^3.

Now we can solve for the radius R of the sphere:
0.04524 m^3 = 4/3πR^3.
Solving for R gives
R = (0.04524 m^3 / (4/3π))^(1/3) ≈ 0.226 m.

Finally, let’s convert the radius from meters to centimeters:
0.226 m = 22.6 cm.

So, the radius of the sphere is approximately 22.6 cm.

HELP
Which type of wave interaction is shown in the photo?
A. Interference
B. Refraction
C. Reflection
D. Diffraction

HELPWhich type of wave interaction is shown in the photo?A. InterferenceB. RefractionC. ReflectionD.

Answers

Answer: the answer is c (think bc im on that too)

Explanation:

The interference is a  type of wave interaction shown in the photo. Option A is correct.

What is the interference of waves?

The result of two or more wave trains flowing in opposite directions on a crossing or coinciding pathways. This phenomenon is known as the interference of waves.

The effect is the sum of the individual wave amplitudes at each site where more than one wave is present.

When two wave pulses are traveling along a string toward each other. They meet and the phenomenon is occur known as interference.

The interference is a  type of wave interaction shown in the photo

Hence option A is correct.

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Which of the five criteria that define minerals explains why polymorphs are actually different minerals?​

Answers

It’s
Cender
Quarter
Coin
Feldr
And round

A car can travel 30.0 mi on one gallon of gas. How many km/L is this?

Answers

Answer

30 mi/gal * (1.61 km / mi ) /  (3.78 L/gal)   = 30 * .426 km/L = 12.8 km/L

A body is acted upon by a constant force directed towards a fixed point. the magnitude of the force varies inversely as the square of the distance from the fixed point. what is the nature of the path?
a) straight line

b)circle

c)random motion

Answers

Answer:

Circle

Explanation:

Actually its Eclipse or ecliptial path.

Force varies inversely with square of distance.

Remember Gravitation?

F=GMm/r²

Yes

F is inversely proportional to r²

So it's eclipse

Recheck if a option given or circle is most likely correct

can you describe briefly how to slice a silicon wafer? 1-2 sentences

Answers

Silicon wafers :

Silicon wafers are sliced using a wire saw, which employs a thin wire coated with abrasive particles.

A silicon wafer is a material essential for manufacturing semiconductors, which are found in all kinds of electronic devices that enrich our lives.

Few of us have a chance to encounter an actual silicon wafer in daily life.

This ultra-flat disk is polished to a mirror-like surface, and made as free as possible of tiny surface irregularities, making it the flattest object in the world. It is also ultra-clean, virtually free of microparticles and other impurities.

These qualities are necessary so it can be used as the substrate material of today's state-of-the-art semiconductors.

Silicon wafers are sliced using a wire saw, which employs a thin wire coated with abrasive particles.

The wire is moved back and forth over the silicon crystal, gradually cutting through it to produce thin wafers of the desired thickness.

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which block does uranium belong to? select the correct answer below: s block p block d block f block

Answers

Uranium belongs to the f-block of the periodic table. The correct option is fourth.

The f-block is located at the bottom of the periodic table, and it consists of the lanthanide and actinide series. Uranium is an actinide element, which means it is part of the second row of the f-block. It is widely used in nuclear power plants, as well as in nuclear weapons.

The f-block elements are known for their unique electron configurations, which include partially filled f-orbitals. These elements are also called "inner transition metals" because they fill their d-orbitals before filling their f-orbitals. Uranium is a radioactive metal that has 92 protons in its nucleus.

In summary, uranium belongs to the f-block of the periodic table, specifically the actinide series.

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What net force would be necessary to cause a block of wood with a mass of 2.5 kg to accelerate at a rate of 3.0 m/s2

Answers

Answer:

7.5 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 2.5 kg

acceleration = 3.0 m/s²

We have

force = 2.5 × 3.0 = 7.5

We have the final answer as

7.5 N

Hope this helps you

drag each tile to the correct box. identify the type of scientific knowledge represented by each statement. law theory hypothesis if a certain piece of metal is cooled, it will conduct electricity better. arrowright the amount of electric current that passes through a conductor is directly proportional to the voltage and is described by the formula v

Answers

If a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.

What is hypothesis, theory and law?

A hypothesis is a statement that may be true or false. A theory is a well-supported explanation of observations or data. A scientific law is a statement that explains the relationship between variables. Hypothesis is a statement that is given before performing an experiment. It can be true or false after we perform an experiment. When a number of experiments can be performed and the hypothesis comes out true then theory is evolved. When the statement is verified after performing large number of experiments, it becomes a law.

So we can conclude that if a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.

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Other Questions
The data in Exercise 1 were taken from the following functions. Compute the actual errors in Exercise 1, and find error bounds using the error formulas.a. f ( x ) = sin x b. f (x) = ex 2x2 + 3x 1 which organelle contains digestive enzymes that may degrade different kinds of macromolecules? Part 1. A lightly inflated balloon is placed in a freezer. Explain the change to the size of the balloon based on the kinetic molecular theory. Part 2. What would most likely happen to the balloon if it was instead kept outside in the sun for some time? Explain your answer based on the kinetic molecular theory. In both cases, assume the balloon is tied tight enough so that air does not escape. the price elasticity of demand for gasoline has been estimated to be 0.2 for a 3-month time period. during that time period, how will an increase in the supply of gasoline affect the total revenues of sellers of gasoline? group of answer choices total revenues will not change. total revenues will rise. the effect on total revenue cannot be predicted. total revenues will fall. If plants were no longer able to perform the light reactions and they could only utilize the Calvin cycle, which of the following would be true? Select all that apply. a.Plants would not produce oxygen. b.G3P would be produced in much smaller quantities. c.NADPH production would decrease while ATP production increased. d.G3P would be produced in much greater quantities 1. which of the following statement are true about the steadystate theory of the Universe ? ( select all that apply)a. hydrogen bubbles upb. there is a limited supply of hydrogenc. the universe lo your bank offers you a $200,000 line of credit with an interest rate of 3.5% per quarter. the loan agreement also requires that 4% of the unused portion of the credit line be deposited in a non-interest bearing account as a compensating balance. your short-term investments are paying 1.25% per quarter. what is your effective annual interest rate if you borrow the whole $200,000 for the entire year? assume that both the funds you borrow and the funds you invest use compound interest. an arm wrestler is the champion for a period of 75 hours. (here, by an hour, we mean a period starting from an ex- act hour, such as 1 p. m ., until the next hour.) the arm wrestler had at least one match an hour, but no more than 125 total matches. show that there is a period of consec- utive hours during which the arm wrestler had exactly 24 matches. if the quads have an angle of pull of 35 deg relative to the tibia and have a force of 1000N, how much of that force will contribute to knee extension? answer is 574N, need steps and set up The bureaucratic principles proposed by Fayol and Weber are most likely to apply to an organization that: the nurse is caring for an 85-year-old client diagnosed with a roundworm infection in addition to heart disease, chronic renal failure, and history of a stroke. the client is prescribed mebendazole. what assessments should the nurse prioritize for this client related to drug therapy? select all that apply. modeling real life find the height of the roller coaster using two different methods. round your answers to one decimal place.a roller coaster. a right triangle is formed by taking the length of the roller coaster, 283 feet as the hypotenuse. the height of the triangle measures x feet. the angle between the hypotenuse and the height of the triangle measures 45 degrees. in a 0.072 m solution of chlorous acid, what percentage of the acid is ionized to the chlorous anion, clo2-? ka ich of the following best describes mediation? a. a grievance procedure utilized to eliminate conflict b. a meeting to help two opposing parties reach a mutually acceptable outcome c. the examination of your own beliefs and behaviors as they relate to conflict d. a neutral third party who guides the conflicted parties through the steps of resolving conflict e. a discussion to understand why a conflict arose find the volume of a sphere of radius r, centered at the origin, by slicing. give an equation representing the volume of a slice, perpendicular to the -axis, that you would use in a riemann sum representing the volume of the region. then write a definite integral representing the volume of the region and evaluate it exactly. of the cartons produced by a company, 10% have a puncture, 8% have a smashed comer, and 13% have both a puncture and a smashed comer. Find the probably that a randomly selected carton has a puncture or a smashed comer CE The probability that a randomly selected carton has a puncture or a smashed corner _____ (Type an integer or a decimal. Do not round.) does luminous flux have an effect on the weather Enzyme A has a very broad pH optimum and exhibits the same catalytic activity at pH 6.5, as at pH 8.5. However, a competitive inhibitor, X, is effective at pH 6.5, but not at pH 8.5. Explain this observation. NOTE: Your answer must include potential effect(s) of pH 8.5 on X. I just need the names or formula to these symbols, please help quick Please help me with the following questions I will give brainiest