Three capacitors are connected in series. The equivalent capaci-
tance of this combination is 3.00 uF. Two of the individual capacitances
are 6.00 uF and 9.00 uF. What is the third capacitance (in uF)?

Answers

Answer 1
Use the formula for capacitors connected in series then substitute the the values for the values given, don’t flip the rational until you calculate the capacitance on C3

The answer is in the picture below
Best of luck !
Three Capacitors Are Connected In Series. The Equivalent Capaci-tance Of This Combination Is 3.00 UF.

Related Questions

A ray of sunlight moves from the air into the denser medium of a pond. The light ray will? A) Be reflectedB) not be affected C) speed up D) slow down

Answers

When a ray of light passes from the rarer medium to the denser medium, it bends towards the normal.

When the ray of sunlight moves from the air into the denser medium of a pound, the light ray will slow down as it passes rarer to denser medium. It bends towards the normal.

Thus, the correct option is (D).

Making progress by conducting studies for research, project or article and presenting these progress to scientists.
Which category does this belong to? :

A. Science
B. Technology
C. Reading
D. Engineering

Sorry I didn't know which Subject to pick.

Answers

Making progress by conducting studies for research, project or article and presenting this progress to scientists represent a category that belongs to Science (Option A).

What is the meaning of science?

Sciences can be defined as a body of empirical knowledge whose development is based on the presentation of results from experiments in peer-reviewed publications and the generation of projects to investigate different issues of the real world.

Therefore, we can conclude that Science is a body of info based on the transference of knowledge which involves developing projects or writing scientific articles (Option A).

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Co is a compound product of a chemical reaction between __ atom and __ atom.

Answers

1 carbon atom and 1 oxygen atom producing carbon monoxide or CO

A projectile is fired from the edge of a cliff 200 m high with an initial speed of 30 m/s at an angle of 45° above the horizontal.

Determine the angle the velocity makes with the horizontal just before impact.

Answers

Answer:

By the law of conservation of energy,

m(gh + 1/2u^2)= m(1/2v^2) ---------- cancelling m from both side

=> 4.8 * 200 + 1/2 * (30)^2 = 1/2(v^2)

=> 1460 + 450 = v^2/2

=> 2410 * 2 = v^2

=> v = √4820

= 69.426m/s

Answer: 69.426 m/s

Two 1.6 cm-diameter disks face each other, 1.2 mm apart. They are charged to ± 15 nC. What is the electric field strength between the disks?

Answers

The electric field between the disks is 8.43*10^6 N/C


What is electric field of charged spherical spheres ?
A simple application of Gauss' law will yield the electric field of a conducting sphere with charge Q. In the case of a sphere-shaped Gaussian surface with radius r > R, the electric field is directed outward and has the same strength at every point along the surface. Simply multiplying the electric field by the spherical surface's area yields the electric flux.

The electric field is observed to be the same as a point charge Q at the sphere's centre. A Gaussian surface at r R will encompass no charge because all the charge will be on the conducting surface, and by virtue of its symmetry, can be observed to be zero at all places inside the sphere


Diameter of the disks = 1.6cm

Radius of the disks = 1.6/2= 0.8cm= 0.008m

gap between 2 disks d = 1.2mm = 0.0012m

Charge Q = ±15nC

E =σ/ϵ = Q/Aϵ = 15*10^-9/(8.854*10^-12*3.14*(0.008^2))

                       =  8.43*10^6 N/C

here,

σ (sigma) is surface charge density (C/m^2) and

ϵ (epsilon) is permittivity of free space

The electric field between the disks is 8.43*10^6 N/C


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What is the angular speed of a satellite in a geo-synchronous orbit around the Earth?

Answers

A geostationary orbit can be achieved only at an altitude very close to 35,786 kilometres (22,236 miles) and directly above the equator. This equates to an orbital speed of 3.07 kilometres per second (1.91 miles per second) and an orbital period of 1,436 minutes, one sidereal day.

A group of physics students launched a rocket in a field at their school. They recorded the time it took for the rocket to launch into the air and come back to the ground. They calculated their average time for their rocket to land to be 12.74 seconds.

1. How long did the rocket take to reach max height?

2. What is the velocity of the rocket at max height?

3. What is the initial velocity of the rocket?

4. What was the maximum height of the rocket?

Answers

The time taken by the rocket to reach maximum height is 6.37 s. The velocity of the rocket at maximum height is 62.43 m/s. The initial velocity of the rocket is 0. The maximum height of the rocket is 198.8 m.

1 ) Total time taken = 12.74 s

Time taken to reach maximum height = Time taken to reach the ground from the maximum height

Time taken to reach maximum height = 12.74 / 2

Time taken to reach maximum height = 6.37 s

2 ) a = g = 9.8 m / s²

v = u + a t

v = 0 + ( 9.8 * 6.37 )

v = 62.43 m / s

3 ) The initial velocity of the rocket is zero

4 ) According to equations of motion,

s = u t + 1 / 2 a t²

s = 0 + ( 1 / 2 * 9.8 * 6.37² )

s = 198.8 m

Therefore,

The time taken by the rocket to reach maximum height is 6.37 sThe velocity of the rocket at maximum height is 62.43 m / sThe initial velocity of the rocket is 0The maximum height of the rocket is 198.8 m

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If there are six H2O molecules, then the notation is 6H2O .
How many atoms of hydrogen are there?

b. How many atoms of oxygen are there?

c. How many of each type of atom would there be if these six water molecules underwent electrolysis?

Answers

If there are six water molecules, the following applies;

There are 12 atoms of hydrogenThere are 6 atoms of oxygen

What is a molecule?

A molecule is the smallest particle of a specific element or compound that retains the chemical properties of that element or compound i.e. two or more atoms held together by chemical bonds.

Atoms of an element are usually shown in the chemical or molecular formula, which is a notation indicating the number of atoms of each element present in a compound.

According to this question, six water molecules are given as follows: 6H₂O

This means that there are 6 × 2 = 12 atoms of hydrogen and 6 × 1 = 6 atoms of oxygen in the 6 molecules of water.

Electrolysis is the chemical change produced by passing an electric current through a conducting solution or a molten salt.

If six molecules of water undergoes electrolysis, there would be 12 atoms of hydrogen and 6 atoms of oxygen.

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Which example BEST illustrates hindsight bias?
Please choose the correct answer from the following choices, and then select the submit answer button.
Answer choices

A: You predicted you would earn 80 percent on your test, but you only earned 70 percent.

B: You meet a person on the street and feel an instant attraction. Later on, you tell a friend about the encounter and state that you just met the person you will marry.

C: You believe that previously infertile couples will become pregnant after adopting a child.

D: You just found out that the homecoming queen and captain of the football team from your high school are splitting up. You think back to the last time you saw them together and have the feeling that you could have predicted their breakup.

Answers

Answer:

A

Explanation:

you predicted it in the past and assumed the outcome of your result and they was a difference of 10 percent

A car moved 59 km north and 59 km south. What is the cars displacement

Answers

Answer:

Explanation:

40 km/h

The car moved like half a mile so it’s 40 km/ h

Predict the order of precipitation of Cl-, CO32-, Br- upon the addition of

AgNO3.

Ksp

AgCl

1.8 x 10- 10

Ag2CO3

8.1 x 10- 12

AgBr

5.0 x 10- 13

Answers

Answer:

I am not understanding your question

At a construction site, a 30.0-kg bucket of concrete is
connected over a very light frictionless pulley to a 375-N
box on the roof of a building. (Figure 1) There is no
appreciable friction on the box, since it is on roller
bearings. The box starts from rest.

Answers

Answer:

What is the full question?

Effect of the amount of water on bead plant growth

Answers

A pot of water is heated using a camping stove. The stove supplies 115,000 J of energy to the 0.54 kg of water. Given that the specific heat.

what is the amount of water on bead plant growth?

If a plant's soil has too much water, the roots can rot, and the plant can't get enough oxygen from the soil. If there is not enough water for a plant, the nutrients it needs cannot travel through the plant. A plant cannot grow if it doesn't have healthy roots, so the proper balance of water is key when growing plants. Water level significantly affected seed germination and seedling establishment. The wet soil treatment germination rate (83%) was much higher than the waterlogged (56%) and submerged (44%) treatments.  As water emerges or evaporates between the plant's stomata, water is pushed up from the soil through the roots and into the plant. Water conveys with its minerals and nutrients from the soil that are vital for plant growth.

so we can conclude that A pot of water is heated using a camping stove. The stove supplies 115,000 J of energy to the 0.54 kg of water. Given that the specific heat.

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A 25kg child resting at the top of a 2 meter slide has how much potential energy?

Answers

Potential energy of a child at the top is 490 J.

Potential energy, U = mgh

U = potential energy

m  = mass of an object, given = 25kg

g = acceleration due to gravity, given = 9.8 m/[tex]s^{2}[/tex]

h = height of an object, given = 2 meter

Put the values in potential energy formula, U = mgh

U = mgh

U = 25 × 9.8 × 2

U = 490 J

Hence, Potential energy of a child at the top is 490 J.

Potential energy is the  type of energy, which is product of mass of an object, acceleration due to gravity and height of an object where it is placed. Its S.I. unit is joule and is represented by J.

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what type of focal length was primarily used in citizen kane?

Answers

25mn type of focal length was primarily used in citizen kane.

The focal lengths and lenses used by 19 notable directors are analyzed in a new video essay by Wolfcrow, starting with Orson Welles' use of 25mm for Citizen Kane and 18mm for Touch of Evil.

In Orson Welles' Citizen Kane, deep focus was frequently used to provide the audience with insight into Charles Foster Kane's thoughts or to reveal more about his life. With deep focus, the foreground, middle ground, and backdrop are all sharply in focus at once.

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Please answer the question on the photo

Answers

Answer:

your answers is option d 75 ohms

How would the Sun’s effect on Earth change if the Sun was half its mass?
A The pull of gravity from the Sun would only be half as strong.
B The pull of gravity from the Sun would be a quarter of what it was.
C The pull of gravity from the Sun would not change.
D The pull of gravity from the Sun would only be twice as strong.

Answers

The Sun’s effect on Earth change if the Sun was half its mass, the pull of gravity from the Sun would only be half as strong and is denoted as option A.

What is Gravity?

This is referred to as the universal force of attraction which acts on all matters and is dependent on some parameters such as mass etc.

The increase in mass denotes a corresponding increase in gravity and vice versa which is therefore the reason why if the Sun was half its mass, then the pull of gravity from the Sun would only be half as strong.

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As one proceeds down the column of the halogens, the reactivity tends to a) increase because the valence electrons are less attracted to the nucleus b) increases because there are a greater number of protons in the nucleus c) decrease because there are more valence electrons in the atom itself d) decrease because the nucleus exerts a weaker pull on the valence electrons

Answers

As one proceeds down the group of halogens, one would find that the reactivity of the elements decreases. This is because the ionic radii increase down the group. And as the ionic radii increase, the nucleus of halogens exerts a weaker pull on the valance electrons.

Thus the correct answer is option d.

The push exerted on one object when it has a collision with another object is called
?
Your answer

Answers

The push exerted on one object when it has a collision with another object these forces are also referred to as force pairs, action forces, and reaction forces.

Collision: What is it?

A collision, also known as an impact, occurs when two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when joined, or a falling object and a floor, suddenly and violently collide. Collisions help physicists understand the characteristics of atomic and subatomic particles.

Collisions happen when two objects come into contact. In most cases, conservation of momentum and conservation of energy are used to solve collision-related problems. Collisions might be of two different types: Momentum is conserved in inelastic collisions, whereas it is also conserved in elastic collisions together with kinetic energy.

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1) A sample of a gas is in a container. The temperature of the gas is decreased. Based on the relationship between temperature and pressure, what must have happened to the pressure?

2) A gas is in a container with constant temperature. A pressure change caused the volume to decrease. Based on the relationship between pressure and volume, what must have happened to the pressure?

Answers

The pressure has increased

module 1 question 10

A student drove to the university from her home and noted that the odometer on her car increased by 14.0 km. The trip took 20.0 min.
(a) What was her average speed?
km/h
(b) If the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her average velocity?
km/h (25° S of E)
(c) She returned home by the same path. The total time to leave home, travel to the university, and return home was 7 h 30 min. What were her average speed and velocity for the entire trip?
average speed
km/h
average velocity
km/h

Answers

(a) Average speed is 42 km/h

(b) Average velocity is 31.21 km/h (25° S of E)

(c) Average speed and average velocity are 3.73 km/h and 0 km/h respectively.

The average speed is calculated by distance travelled divided by time. The distance travelled is 14.0 km and time taken for the trip is 20.0 min.

The time taken for the trip in hours = 20.0/60 = 0.33 hr

Average speed = 14.0/0.33 = 42 km/h

The displacement is the shortest distance between two points. For this trip the displacement is 10.3 km in the direction 25.0° south of east. Then the average velocity is calculated by change in displacement divided by time.

Average velocity = (10.3-0)/0.33 = 31.21 km/h (25° S of E)

Average speed of the total trip = (14 + 14)/7.5 = 3.73 km/h

Average velocity of the total trip = (Final position - Initial position)/time = (0 - 0)/7.5 = 0 km/h

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The energy diagram shows the changes in energy during a chemical reaction.
Which statement best describes the total energy change of the system?
Potential energy
Reaction progress
• A. The reactants have higher potential energy, and energy is released.
absorbed.
• B. The reactants have higher potential energy, and energy is
absorbed.
C. The products have higher potential energy, and energy is
D. The products have higher potential energy, and energy 1S released.

Answers

B. The reactants have higher potential energy, and energy is absorbed is the statement that best describes the total energy change of the system.

What term best explains the energy shifts that occur during chemical reactions?

The difference in the amounts of chemical energy that are stored in the products and reactants accounts for the energy change in a chemical reaction. Enthalpy refers to the system’s heat content or stored chemical energy.

What is potential energy?

Potential energy can be described as the energy which a body possess because of its position. The potential energy can also be said as stored energy. The energy diagram that shows the changes in energy is called as a chemical reaction.

Potential energy and the Reaction progress are shown in the problem and from this the reactants are seen as the substance which reacts and form one or more than one product.

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how does the philippines generate 17 percent of its electricity with geothermal energy

Answers

Coal is used to produce the majority of the electricity in the Philippines. The country's total electricity production in 2021 was 47.6% fueled by fossil fuels. Another 10.7% of the fuel was natural gas. In that year, fossil fuels accounted for about 76 percent of the nation's electricity output.

What is geothermal energy?

Geothermal energy is heat that rises from the earth's interior. Geothermal energy travels to the Earth's surface in the form of water or steam. Depending on its properties, geothermal energy can be utilized to produce clean electricity or be used for heating and cooling.

Due to its location along the Ring of Fire zone of Pacific volcanoes, the Philippines is among the top geothermal energy producers in the world.  On March 9, 2018, the nation turned on the 12-megawatt Maibarara Geothermal Power Plant-2 in Santo Tomas, Batangas.

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An Alaskan rescue plane traveling 43 m/s drops a package of emergency rations from a height of 108 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s^2. Where does the package strike the ground relative to the point directly below where it was released? What is the horizontal component of the velocity just before it hits? What is the vertical component of the velocity just before it hits? (Choose upward as the positive vertical direction)

Answers

Answer:

Explanation:

Given:

V₀ = 43 m/s

H = 108 m

g = 9.8 m/c²

____________

L - ?

Vₓ - ?

Vy - ?

1)

Fall time:

H = g*t² / 2

t = √ ( 2*H / g) = √ (2*108 / 9.8) ≈ 4.7 s

L = V*t = 43*4.7 ≈ 200 m

2)

Vx = V₀ = 43 m/s

Vy = - g*t = - 9.8*4.7 ≈ - 46 m/s

A 10-kg iron ball is dropped onto a pavement from a height of 150 m . Suppose that half of the heat generated goes into warming the ball. What is the temperature increase of the ball. (The specific heat capacity of iron is 450 J/kg ⋅ ∘C . Use 9.8 N/kg for g .).

Answers

The temperature increase of the ball is 1.63 ⁰C.

What is the potential energy of the ball?

The potential energy possessed by the ball at the given height is calculated as follows;

P.E = mgh

where;

m is mass of the ballh is the heightg is acceleration due to gravity

P.E = (10) x (9.8) x (150)

P.E = 14,700 J

If half of the energy of the ball is converted into heat energy, then the amount of heat capacity is calculated as follows;

Q = 0.5(P.E)

Q = 0.5 x 14,700

Q = 7,350 J

The increase in the temperature of the temperature of the ball is calculated as follows;

Q = mcΔθ

where;

c is specific heat capacity of ironΔθ is increase in temperature

Δθ = Q/mc

Δθ = (7350) / (10 x 450)

Δθ = 1.63 ⁰C

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A wrecking ball on a 15.4 m longcable is pulled back to an angle of33.5° and released. At what speedis it moving at the bottom of itsswing?(Unit = m/s)Enter

Answers

Given data

*The given length of the cable is L = 15.4 m

*The given angle is

[tex]\theta=33.5^0[/tex]

The formula for the height is given as

[tex]h=L(1-\cos \theta)[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} h=15.4(1-\cos 33.5^0) \\ =2.57\text{ m} \end{gathered}[/tex]

The formula for the velocity of the ball at the bottom of its swing is given as

[tex]v=\sqrt[]{2gh}[/tex]

[tex]\begin{gathered} v=\sqrt[]{2\times9.8\times2.57} \\ =7.09\text{ m/s} \end{gathered}[/tex]

the diagram at right shows a person sitting in a chair riding on a ferris wheel. the chair is attached to the wheel by a rod. the ferris wheel turns with constant speed the mass of the person is two times that of the chair

Answers

The ranking of the boy's location in the ferris wheel ridding motion above comparing his felt weight from the highest to the lowest is 1, 2 and 4 tie, 3.

The correct answer choice is option c.

The correct image is attached.

Understanding the weight felt by the boy ferris wheel ridding.

In motion above by the boy, the boy feels he weighs the greatest at location 3 among all the location simply because there is a force known as centripetal force which technically acts upward at that point which makes more weight be felt among all.

However, at the locations 2 and 4, the force actually was acting side ways, which would still not affect the weight from 3 in the circular movement. And at location, the weight felt feels the lowest among all.

In conclusion, the locations of the boy on a ferris wheel ridding from the greatest is highest to the lowest is 1, 2 and 4 tie, 3.

Complete question:

The diagram above represents a Ferris wheel-a circular ride that rotates in a vertical circle with seats where people sit. The numbers correspond to a seat in four difference places as the Ferris wheel rotates.

Imagine a boy sitting in this seat riding the ride with the Ferris wheel rotating in the direction shown (at constant speed). Rank the locations according to how much the boy would feel like he weighs,greatest first.

a. 1, 2, 3, 4

b. 1 and 3 tie, 2 and 4 tie.

c. 1, 2 and 4 tie, 3

d. 4, 3, 2, 1.

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Ashley throws a baseball into the air at 20 m/s.
Determine the time it takes the ball to reach its maximum height.




What is the ball’s maximum height?





How long is the baseball’s total trip back to Ashley’s hand? (Assuming she kept it in the same place.)

Answers

Answer:

Take upwards as positive and downwards as negative

Explanation:

the time to reach the maximum height is 2,04s, therefore the time to come back down will be doubled that which is 4,08s

Hope this helps !!

Ashley throws a baseball into the air at 20 m/s, the time needed  to reach the maximum height is 2,04s, therefore the time to come back down will be doubled that which is 4,08s.

What are the unit of length ?

length measurement can be defined as an act for the identification of the length of  the object in some standard or non-standard units.

The most common units of length   are U.S. customary units and the metric units which mainly include SI and non-SI units, others are  British Imperial units are also still used in some countries.

Other units of length also include kilometres, nanometre, millimetres, centimetres, metres, decimetres  where as the Imperial and U.S. customary systems, basic unit of length is the yard.

other units are thou (1⁄1000 of an inch), line (1⁄12 of an inch), inch (25.4 mm), foot (12 inches, 0.3048 m)

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A car must cover a distance of 300 km in 3 hours. However, for the first 2
hours it only travels 150 km. At what speed must it travel for the rest of the
distance in order to complete the journey on time?

Answers

Answer:

150 km/h

Explanation:

After the first two hours, you have traveled 150km (given) which means that you still have 300km - 150km = 150km left to travel. Since you have already traveled 2 hours, that means you must travel the remaining 150km in 3hours - 2hours = 1hour. Assuming the answer is in km/hour, you will need to travel at a speed of 150km/1h = 150km/h for the remaining of the distance.

how might you change the number of people to decrease the carriages acceleration?

Answers

      The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force applied on the item determines the object's acceleration.

What does the word "acceleration" mean?

        The definition of acceleration (symbol: a) in physics or physical science is the rate of change (or derivative with respect to time) of velocity.

How can you express speed in writing?

       The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).

What is the velocity in units?

     The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).

Is zero acceleration possible?

         When an item is travelling at a constant speed, its acceleration can be zero. There won't be any acceleration because the speed is constant, hence there won't be any change in speed. Zero acceleration is shown by the graph above.

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5 Find the missing side C 4 9 3 6.4 41 In a 5-7 sentence paragraph agree or disagree with the following statement: The Americancolonists who moved to Texas settled with the intention of eventually forming their own politicalentity How does Senator Obama's use of the metaphor "beacon of freedom" reflect the purposeof inspiring the audience to take action in the upcoming election? Select all that apply.The use of the metaphor "beacon of freedom" reinforces the idea that theUnited States is regarded as the land of opportunity and hope for a better life.The use of the metaphor "beacon of freedom" is an appeal to pathos thatinvites the audience to show compassion to immigrants in the United States.The use of the metaphor "beacon of freedom" is a logical appeal that urges theaudience to consider all factors before taking advantage of opportunities.The use of the metaphor "beacon of freedom" suggests that the opportunitiesthat the United States offers should not be taken for granted.The use of the metaphor "beacon of freedom" is an ethical appeal thatreminds the audience of the country's core values and that it needs to be4protected. what is 130x1000 well I've been on this app and it has answered this question for me and and can for u to and can I know how this app has helped you with mathematics?? Jacob had $180 in his savings account at the beginning of summer vacation. over the next 12 weeks, he mowed lawns in his neighborhood earning $145 and spending $55 each week. he deposited all of his weekly profits to his savings account each week. when summer vacation is over, he plans to spend $180 per month. for how many months can he make withdrawals from his saving account until his balance is $0? The table shows the mass of and acceleration due to gravity for severalplanets in the solar system. If air resistance is ignored, on which planet woulda space probe with a mass of 250 kg a have the highest speed after falling 25m?PlanetMass, 1024 kgAcceleration due to gravity,m/s-Venus4.878.9Earth5.979.8Uranus86.88.7Saturn568A. Earth B. Venus C. SaturnO D. Uranus 5y 3 = 6y + 3solve y Si la suma de un nmero y 5 se multiplica por 3, el resultado es igual a 7 veces el nmerodisminuido en 13. Halla el nmero. A student observes cells of a familiar species under a microscope analyze the observation the student recorded in the chart below. Which of the following observations support the students conclusion that the species is a prokaryote? In the diagram below, the numbers in each box is the sum of two numbers below it. Work out the missing numbers for boxes A and B. The difference of two and a number is 7.2 + n = 72 - n = 7n - 2 = 7n + 2 = 7 What was the Treaty of Tordesilles and what did it establish ? 4) On average, Aliah drinks of a 6 ounce glass of water in hour. How much water does shedrink in an hour? As a result of increased tensions in the middle east, impact of oil production this event on the market for gasoline and the market for small cars. (lo1, lo3, lo5) Build your paper cup telephone system? How does finding the prime factorization of a group of numbers helpyou to find their GCF Please write 1 detailed paragraph at least 7 sentences about inventions of the 1920s worth 30 points When troubleshooting, which of the following should be the very first step? A. find the root cause B. identify the problem C. verify D. make and execute a plan Which of the following was NOT an agreement at the end of the Cuban Missile Crisis?A. Soviet Union removes missiles from CubaB. US agrees to lift embargo on CubaC. US agrees to never invade CubaD. US removes missiles from Turkey Sarah has three sisters. lea is 4 less than 3 times the age of sarah. rachel is 3 years less than one-half sarahs age. amanda is 1 year older than twice the age of sarah. if the sum of the ages of the four sisters is 46 years, how old is each sister?