Find the kinetic energy k of the block at the moment labeled b. express your answer in terms of k and a.

Answers

Answer 1

The position of the object can be used to find the kinetic energy in terms of k and a.

What is kinetic energy?

The term kinetic energy refers to the energy of an object that is in motion. The question is incomplete hence the syetem is not shown and the value of the kinetic energy can not be found in terms of  k and a.

Hence, when the system is shown, we can look at the position of the system and use it to obtain the value of the kinetic energy in terms of k and a.

Learn more about kinetic energy: https://brainly.com/question/12669551

Answer 2

Answer:

K = 3/8k(A)^2

Explanation: Potential Energy --> Conservation of Energy

Because block B is at A/2, U = 1/2k(A/2)^2 which equals U = 1/8k(A)^2.

Now that you have the equation for potential energy, you can find kinetic energy in terms of the spring constant (k) and amplitude (A).

K = 3/8 k A^2


Related Questions

A 1500kg car moving at a speed of 20.1m/s comes toa stop after travelling a distance of 200m. What was the average force exerted by the breaks on the car?​

Answers

Answer:

= -1515N

Explanation:

v^2=u^2+2as

0m/s

u=20.1m/s

0=(20.1)^2+(2xax200)

0=404.01+400a

-404.01=400a

-404.01÷400=a

a= -1.01m/s^s

its negative because the force is slowing down the car

Newton's second law of motion

F=ma

=1500×-1.01

F= -1515N

29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?

Please include all of your steps to the solution.

Answers

Answer:

9.82 m/s²

Explanation:

The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to rightThe formula is given as :

        ⇒ T = 2π√(L/g) [← Important]

L represents the length of the string and g is the value of gravity due to acceleration

Original Time Period [To calculate length of the string]

T = 2π√(L/g)2 = 2π√(L/9.8)L = 9.8/π²L = 0.99646 m [← Keep in mind, we'll need it later!]

Calculating value of g' (new acceleration)

T = 2π√(L/g')1.99796 = 2π√0.99646/g' [← From earlier!]g' = 9.82 m/s² (approximately)

Hope it helped~

explain why the age of the ocean floor bedrock increases as the distance from the mid-atlantic ridge increases?

Answers

Answer:

The age of the bedrock increases the further you get away from the mid atlantic ridge because it is at the ridge that the new bedrock is formed. At the Ridge, the diverging plates cause magma to rise up and harden, forming new bedrock. As this happens, the older bedrock is pushed outwards, further and further away from the Ridge.

Explanation:

Hope it helps.

Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?

Answers

The direction of the angular velocity of the single wheel is the clockwise direction

Angular velocity

The angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where

v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheel

Since the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction

So, the direction of the angular velocity of the single wheel is the clockwise direction

Learn more about angular velocity here:

https://brainly.com/question/20912191

The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.

What is angular velocity?

The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

[tex]\omega = \dfrac vr[/tex]

where v is the velocity and r is the radius.

The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.

Hence, the direction of the angular velocity of the single wheel is clockwise.

Learn more about Angular Velocity:

https://brainly.com/question/13649539

#SPJ4

Un motor eléctrico consume 10A de corriente de un circuito de 120v. Calcular la potencia y el trabajo que suministra al motor durante 5hrs de funcionamiento:
A) P=0.9 kw, T=6 kwh
B) P=0.85 kw, T=4 kwh
C) P=1.2 kw, T=3 kwh
D) P=1.2 kw, T=6 kwh

Answers

Answer:

D. P=1.2 kw, T=6kwh

Explanation:

P = A × V

P = 120×10

= 1200 watts or 1.2 kw

T = Watts × hr

1000

= 1200 × 5

1000

= 6 kwh

A 20 kω resistor is connected in series with an initially uncharged 100 μf capacitor and a 5 v battery. What is the charge on the capacitor when the circuit has reached steady state?

Answers

Hi there!

We can use the equation for the charge of a charging capacitor:
[tex]q(t) = C\epsilon( 1 - e^{-\frac{t}{RC}})[/tex]

Using Capacitor equations:
[tex]C = \frac{Q}{V}}\\\\Q = CV[/tex]

Therefore, Cε equals the steady-state charge of the capacitor (the function approaches this value as t ⇒ ∞.


We can plug in the givens and solve.
[tex]\epsilon = 5 V\\\\C = 100\mu F = 0.0001 F[/tex]

[tex]Q = C \epsilon = (0.0001)(5) = \boxed{0.0005 C}[/tex]

The charge on the capacitor when the circuit has reached a steady-state is 0.0005C.

What is capacitance?

The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential.

Given that the resistance of the resistor is 20 kω, while the capacitance of the capacitor is 100 μf, and the voltage of the battery is 5V.

Now, the charge on the capacitor when the circuit has reached a steady-state can be written as,

[tex]Q=CV\\\\Q = 100\mu F \times 5V\\\\Q = \dfrac{100}{1,000,000}F \times 5V\\\\Q = 0.0005C[/tex]

Hence, the charge on the capacitor when the circuit has reached a steady state is 0.0005C.

Learn more about Capacitance:

https://brainly.com/question/12644355

#SPJ4

Derive an expression for the block's centripetal acceleration ac in terms of m , θ , and physical constants, as appropriate

Answers

The expression for the block's centripetal acceleration is derived as ω²r or v²/r.

What is centripetal acceleration?

The centripetal acceleration of an object is the inward or radial acceleration of an object moving in a circular path.

The expression for the block's centripetal acceleration is derived as follows;

ω = dθ/dt

where;

ω is the angular speed θ is the angular displacementt is the time of motion

ac = ω²r

where;

r is the radius of the circular path

Also, ω = v/r

ac = (v/r)²r

ac = v²/r

Thus, the expression for the block's centripetal acceleration is derived as ω²r or v²/r.

Learn more about centripetal acceleration here: https://brainly.com/question/79801

At a distance of 1.0 A.U. The earth takes 1.0 year to travel around the sun how far away is a planet that takes 64 years ro go around the sun

Answers

Answer:

This is from another brainly question so I hope this helps :)

The earth takes 1 year to orbit the sun and is about 150, 000, 000km. Given that, use the rule of 3 to find your answer:

1 - 150, 000, 000

64 - x

(150, 000, 000 * 64) / 1= x

9, 600, 000, 000 / 1

9, 600, 000, 000 km.

A planet located 9, 600, 000, 000 km from the sun takes about 64 years to complete its orbit around the sun.

FOR STUDY ISLAND: Objects that stop the flow of electricity are good insulators. Which of the following materials would be the best insulator for an electrical wire?
A.
aluminum pipes
B.
copper wire
C.
plastic tubing
D.
water

Answers

Answer: It would be; A/B

Is an electron cloud bigger than an atom?

Answers

Answer:

no

Explanation:

An electron is one of the components of an atom, so it cannot be larger than that.

Answer:

No, it's not.

Explanation:

The tightly packed nucleus is 100,000 times smaller than the electron cloud.

In what type of system is mechanical energy lost to its surroundings?
A. internal

B. external

C. closed

D. open

help.

Answers

Answer:

If you consider systems as internal, external, or open then energy can only be exchanged between systems that are classified as -

(D) open

For instance if you want to classify the work done in lifting a bucket of water from a well, then this is an internal system as opposed to a system where you would have to consider the work done on the earth and its surrounding stars.

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field?.

Answers

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field? It is the cross product of the velocity vector and the magnetic field vector, which gives a vector perpendicular to those vectors.

according to this passage when making healthcare decisions, how should a person approach the decision making process

Answers

Answer:

What is your name?

Explanation:

no bro I don't know I am New of this app so I don't know

angular velocity of a rotating wheel increases 2 rev/s every minute. The angular acceleration of this wheel is:

Answers

The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Angular acceleration of the wheel

The angular acceleration of an object is the rate of change of anguar velocity of the object with time.

[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]

where;

Δω is the change in the angular velocityΔt is the change in time

Change in angular velocity of the wheel is calculated as follows;

[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]

Change in time, Δt = 1 min = 60 s

The angular acceleration of the rotating wheel is calculated as follows;

α = (12.57) / (60)

α = 0.21 rad/s²

Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Learn more about angular acceleration here: https://brainly.com/question/25129606

A uniform solid sphere has mass m= 7 kg and radius r= 0. 4 m. What is its moment of inertia about an axis tangent to its surface?

Answers

The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].

Given the following data:

Mass of sphere = 7 kg.

Radius of sphere = 0.4 meter.

How to calculate moment of inertia.

Mathematically, the moment of inertia of a solid sphere is given by this formula:

[tex]I=\frac{2}{5} mr^2[/tex]

Where:

I is the moment of inertia.m is the mass.r is the radius.

Substituting the given parameters into the formula, we have;

[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]

I = 0.448 [tex]kgm^2[/tex].

Read more on inertia here: https://brainly.com/question/3406242

the north pole magnet is brought near a refrigerator door , and the magnet sticks. if the magnet is removed and the south pole is brought near the door instead, will it also stick explain​

Answers

Answer:

no

Explanation:

because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.

If you create an equilibrium mixture from f e 3 and s c n − ions, adding c l − ions will choose. Highlight_off because choose. Highlight_off

Answers

Since chloride ions are not part of the ionic equilibrium, addition of chloride ions will only increase the concentration of the anions in the solution.

What is ionic equilibrium?

An ionic equilibrium is an equilibrium that exists between two or more ions in an aqueous solution.

The ionic equilibrium between iron (iii) ion and thiocyanate ions is given below:

[tex]Fe^{3+}\rightleftharpoons SC \: N^{-}[/tex]

From the principle of equilibrium, addition of either ions in the ionic equilibrium will alter equilibrium position to the left or right.

Addition of chloride ions, Cl- which is not a part of the ionic equilibrium will only increase the concentration of the anions in the solution.

Learn more about ionic equilibrium at: https://brainly.com/question/13879496

The chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.

What is equilibrium?

When a chemical reaction does not convert all reactants to products, it reaches equilibrium. Many processes attain a state of balance, or dynamic equilibrium, in which both reactants and products are present.

The following is the ionic equilibrium between iron (III) ion+ and thiocyanate ions:

[tex]\rm Fe^{3+} \rightleftharpoons SC \ N^{-}[/tex]

The addition of either ion in the ionic equilibrium will shift the equilibrium position to the left or right, according to the principle of equilibrium.

The inclusion of chloride ions, Cl-, which are not components of the ionic equilibrium, increases the levels of anions in the solution.

Thus, the chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.

Learn more about the equilibrium here:

https://brainly.com/question/13458865

#SPJ4

The earliest stage of a star’s life before it begins to undergo fusion is known as:

Answers

Answer:

A protostar is the earliest stage of a star's life. A star is born when the gas and dust from a nebula become so hot that nuclear fusion starts.

The origin of star is called nebula. The earliest stage of a star’s life before it begins to undergo fusion is known as a protostar.

What is the earlier stage of star ?

Every star begins from nebula. A nebula is a huge gas and dust cloud. Some of the gas and dust in a nebula can be drawn together by gravity. The cloud's contraction is then described as a protostar. The first stage of a star's life is called a protostar.

As the gas and dust from a nebula heat up to a point where nuclear fusion begins, a star is created. A star is referred to as a main sequence star once it has "switched on". A main sequence star turns into a red giant or a red super giant when its hydrogen fuel runs exhausted.

An exploding red super massive star is possible. It is referred to be a supernova. After the star explodes, some of the ingredients from the star are left behind. Hence, the earlier stage of a star before fusion starts is called a protostar.

Find more on protostar:

https://brainly.com/question/14317247

#SPJ2

A student makes this statement before conducting an experiment on electromagnetic radiation: "We expect the laser to diffract when passed through a slit." Which of the following explains why the student's statement is not a claim?


(1 point)

It is a prediction or hypothesis.


It cannot be verified experimentally.


It is part of the evidence to support a claim.


It is a description of the experimental results.

Answers

Answer:

it is a prediction or hypothesis4

Particle q1 has a charge of 2.7 μc and a velocity of 773 m/s. if it experiences a magnetic force of 5.75 × 10–3 n, what is the strength of the magnetic field? t in the same magnetic field, particle q2 has a charge of 42.0 μc and a velocity of 1.21 × 103 m/s. what is the magnitude of the magnetic force exerted on particle 2? n

Answers

1)The strength of the magnetic field for particle 1 will be 2.8 T.

2)The magnitude of the magnetic force exerted on the particle will be 0.12 N.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem is;

q₁ has a charge = 2.7 μc

v₁ is the velocity of particle 1 = 1 773 m/s.

F is magnetic force = 5.75 × 10–3 n,

q₂ has a charge of 42.0 μc

v₂ is the velocity of 1.21 × 103 m/s.

[tex]\rm F_{B2}[/tex]   is the magnitude of the magnetic force exerted on particle 2=?

The megnetic force for case 1 is found as;

[tex]\rm F_{B1}= qvB SIN \alpha_1 \\\\ 5.75 \times 10^{-3} =2.7 \times 10^{-6}\times 773 \times B sin 90^0 \\\\ B=\frac{5.75 \times 10^{-3}}{2.7 \times 10^{-6} \timesd 773 \times sin 90^0} \\\\ B=2.8 \ T[/tex]

The megnetic force for case 2 is found as;

[tex]\rm F_{B2} = q_2v_2bsin \alpha_2 \\\\ 42\times 10^{-6} \times 1.21 \times 10^3 \times 2.8 \times sin 55^0 \\\\ F_{B2}=0.12 T[/tex]

Hence the value of the megnetic force exerted on particle 2 will be 0.00122 T.

To learn more about the magnetic field refer to the link;

https://brainly.com/question/19542022

Answer:

last one and second one

Explanation:

Particle q1 has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10–3 N, what is the strength of the magnetic field?

2.8

T

In the same magnetic field, particle q2 has a charge of 42.0 μC and a velocity of 1.21 × 103 m/s. What is the magnitude of the magnetic force exerted on particle 2?

0.12

N

Water has a heat capacity or 4.184 j/g C. If 50 g of water has a temperature of 30C and a piece of hot copper is added to the water causing the temperature to increase to 70C. What is the amount of heat absorbed by the water.

Answers

Answer:

Ethanol C2H5OH or propane C3H8 have more energy

Explanation:

Use the drop-down menus to complete the statement. if an electric circuit has 0 a of current running through it, then the must be .

Answers

If an electric circuit has zero Ampere (0A) of current running through it, then the voltage must be zero.

What is ohm's law?

At constant temperature, Ohm's law says that the current flowing through an electric circuit is directly proportional to the voltage

Also, the current flowing through an electric circuit is inversely proportional to the resistance in the electric circuit.

This means that the magnitude of voltage (potential difference) is significantly reliant on the value of current flowing through an electric circuit.

This formula expresses Ohm's law mathematically.

V=IR

Where:

V is the voltage is measured in volts.

I denote the current in amperes.

R denotes the resistance in ohms.

Finally, if an electric circuit has zero ampere (0A) of current flowing through it, the voltage must also be zero.

To learn more about ohm's law refer to the link;

https://brainly.com/question/796939

Answer:

voltage, zero

Explanation:

what does the word Cala stands for​

Answers

Answer:

Caribbean and Latin America Region

Explanation:

Before beginning an experiment, mrs. wilson warns her science class not to drop the bar magnets on the floor. what is the most likely reason for mrs. wilson’s warning? the magnet might lose its magnetism. the magnet might make a startling noise. the magnet might become stuck to the floor. the magnet might cause the floor to become magnetic.

Answers

The most likely reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

What is magnetism?

Magnetism is a component of the larger phenomena of electromagnetic. The most well-known effects occur in ferromagnetic materials,

Which are highly attracted by magnetic fields and maybe magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.

We should not drop a magnet on the floor since magnets progressively lose magnetism and grow weak over time if they are not properly preserved.

Hence this is most likely the reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

To learn more about magnetism refer to the link;

https://brainly.com/question/19542022

Answer:

The correct answer is A!

Explanation:

~Hope this helps! :)

Research the solar wind and what happens when the solar wind interacts with Earth’s magnetic field. Begin by looking for images and credible sites on the Internet or refer to some books in a library. If searching on the Internet, include the search term magnetosphere. The magnetosphere is the magnetic field surrounding a planet where charged particles are trapped. Answer the following questions:

What is the solar wind?
What happens when Earth’s magnetic field interacts with the solar wind?
What are the Van Allen belts and how are they related to Earth’s magnetic field?
What are auroras and how are they related to Earth’s magnetic field?
Does Earth’s magnetic field protect the planet from the solar wind?

( THIS IS NEEDED BY APRIL 3)

Answers

The solar wind is a stream of radiation particles generated by the Sun's corona, whereas Earth’s magnetic field acts to deflect solar winds.

What is solar wind?

The solar wind is a stream of radiation particles that are released from the last layer of the Sun (Sun's corona).

Earth’s magnetic field acts to deflect solar winds, where the Van Allen belt refers to the area of charged particles in the magnetosphere.

Finally, the aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere.

Learn more about solar winds here:

https://brainly.com/question/10258008

Answer:

Yes, I'm late I'm sorry but here's my answer.

Explanation:

1. Solar wind is the solar wind is a stream of radiation particles that are released from the last layer of the Sun and the Earth’s magnetic field acts to deflect solar winds, where as the Van Allen belt refers to the area of charged particles in the magnetosphere. The aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere. 

2. When the solar wind encounters Earth, it is deflected by our planet's magnetic shield, causing most of the solar wind's energetic particles to flow around us. 

3. The Van Allen radiation belt is a zone of energetic charged particles, which can originate from the solar wind. The particles are then captured by and held around a planet by that planet's magnetic field.

4. An aurora is that natural light displayed in the Earth's sky, predominantly seen in high-latitude regions. Auroras are the result of disturbances in the magnetosphere caused by the solar wind.

5.  Yes

What is another name for coal, natural gas, and oil? (two words)

Answers

The answer is fossil fuel

its formed from the remains of ancient plants and animal

Hope it helps!

The answer is fossil fuel

a car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.​

Answers

Given :- Mass of Car = 850 kginitial speed,u = 30 m/sTime span in which car stop = 0.4 s

To Find :-force on car

Solution:-

During the collision an impulse is created which due to which is equal to change in momentum.

Mathematically,

[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]

where

F = forcet = time span m = massv= final speedu = initial speed

Now,

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)

Therefore, a force of 63750 Newton will act on the car in opposite direction.

what other fees are associated with each credit card

Answers

Answer:

Finance costs (also known as interest fees) aren't added to your account in a set amount like other fees.

OR

A credit card is a payment card that is issued to users to allow them to pay a merchant for products and services depending on their outstanding debt. The card issuer opens a revolving account for the cardholder and provides a line of credit from which the cardholder can borrow money to pay a merchant or get a cash advance. Consumer credit cards and business credit cards are the two types of credit cards available. The majority of the cards are plastic, however, there are a few metals and gemstone-encrusted metal cards.

Explanation:

A car of mass 1500kg is brought to rest from a velocity of 25m/s by a constant force of 3,000N. Determine the change in momentum produced by the force and the time it takes for the car to come to rest.​​

Answers

Answer:

change in momentum = 37,500kg.m/s in the opposite direction

time it takes = 12.5s

Explanation:

u=25m/s

v=0m/s

F=ma

-3000=(1500)(a)

-3000÷1500=a

a= -2m/s^2

Change in momentum=mv-mu

(1500)(0)-(1500)(25)

= -37,500kg.m/s

relax the( - ) represents direction

v=u-at

0=25-2t

2t=25

t= 12.5s

Red light has a wavelength of (7. 21x10^7)m. What is the frequency of this light?

Answers

Answer:

TO answer this question i need wave speed

Explanation:

Other Questions
YASHARI earns $27,000 per year, is single, and lives in Wyoming. She has $7000 in Direct Subsidized loans and another $19,000 in Direct Unsubsidized loans. She is trying to save up an emergency fund of at least 6 months take-home pay, so shes torn about how much she should devote to her student loans and how much to the emergency fund every month.- Which plan has the highest total amount paid? How long is the repayment period for this plan? F. What effect does a low unemployment rate have on business? what effect does a high unemployment rate have on business? 10.If you plan to write a report about the history of a sport you enjoy, what order would you use to organize your report?first the most interesting event, then the next most interesting, etc.,in the order you learned about the eventscomparing and contrastingchronological (time) order Solve the given integral equation or integro-differential equation for y(t) Bob goes to the store to buy food. a write a new story using Nepal Beat maldives Mayas Gold Cup how many positive integers are between 28/3 and 83/5 What is the answer for this question? Write the following series in sigma notation.7 + 16 + 25 +34 +43 +52 + 61 Which belief did Daniel Webster have?States have the right to nullify federal laws.The American System protects both the agricultural and industrial interests of the United States.Federal law is stronger than state law.The Constitution was designed as a compact among states. Sea urchins tend to have great camouflage because they sometimes carry what two animals on there shells? Define the ecosystem in terms of its physical boundaries as well is there any to input and output How do you answer this ? Factor completely 4a^2-b^2-2a+b GUYS HELP THERE ARENT ANY CORRECT ANSWERS ON BRAINLY URGENT Inseparability in services refers to the fact that. 4. Which statement describes the nutrient cycle? the movement of nutrients within plants that allows them to conduct photosynthesis the movement of nutrients within all soil layers that allow plants to grow and seeds to germinate the movement of the three non-mineral nutrients that are absorbed through the soil the movement of nutrients from the physical environment into living organisms and back again Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.Carly says that if she washes 5 cars she will have enough money to buy the skateboard.Use the drop-down menus to explain how to solve this problem.First multiply Choose... $20 to find how much money Carly will earn washing cars. Then add this amount to Choose... to find how much money Carly has in all. Finally, Choose... the total to the cost of the skateboard. Lita must find the area of the sector enclosed by central angle QCR in circle C.Points Q and R lie on circle C. The measure of angle Q C R is 74 degrees and the radius of circle C is 1 foot.What steps should Lita take to correctly solve this problem?A: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so the portion of the area she wants to find is 74360. Therefore, she must multiply 74360 times the area, which is r2.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74360. Therefore, she must multiply 74360 times the area, which is r2.B: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so the portion of the area she wants to find is 74360, so she must multiply 74360 times the area, which is 2r.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74360, so she must multiply 74360 times the area, which is 2r.C: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so she should subtract 74 from 360. The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is 2r.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so she should subtract 74 degrees from The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is 2r.D: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so she should subtract 74 from 360. The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is r2. In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7 N the knowledge economy, if a large portion of company value is in intellectual and human assets, the difference between the market value and book value of the company should ________ a company with mostly physical and financial assets.