A point charge q = -6.0nC is located at the origin. The electric field (in N/C) vector at the point x = -8.0m, y= +1.5m is? ​

Answers

Answer 1

Answer:

Explanation:

The position between point charge q to x = -8.0 m and y = 1.5 m is:

[tex]r=\sqrt{x^{2}+y^{2}}=\sqrt{(-8)^{2}+(1.5)^{2}}=\sqrt{66.25}\approx 8.13[/tex] meter

Then the magnitude of the electric field E is:

[tex]E=\frac{1}{4\pi\epsilon_{o}} \frac{q}{r^{2}}=(9\times 10^{9}) \frac{6.0\times 10^{-9}}{66.25}\approx 0.81 N/C[/tex]

For the vector of E:

[tex]\tan\theta=\frac{1.5}{-8}=-0.1875 \rightarrow \theta = -10.61^{0}[/tex]

[tex]E_{x}=E\cos (-10.16)=(0.81)(0.984)=0.79704 N/C[/tex]

[tex]E_{y}=E\sin\theta = -0.81(0.184)=-0.14904 N/C[/tex]

[tex]\vec{E}=0.79704\hat{i}-0.14904\hat{j}[/tex] in N/C


Related Questions

A dragster's top acceleration is 60 m/s.
If it accelerates for 3 seconds from the
starting line, how fast will it be going?

Answers

Answer:

very fast

Explanation:

If you go into a store to buy a digital thermometer and there are 8 instruments of the same brand and model, at the same price, but they indicate different temperature values, explain which one you choose and why.​

Answers

Answer: I would buy the thermometer with the most features because they all cost the same price so why not you getting more than what you are paying for than buying something the same but with less feature and things it can do for the same price.

Hope this helps :) If so brainliest would mean alot thanks!

Explanation:

1. A listener stands 20.0 m from a speaker that pumps out music with a power output of 100.0 W.
a. What is surface area being vibrated by the time the sound reaches the listener (you may
have to look up the equation for the area of a sphere).
b. What is the intensity of the sound wave as it reaches the person listening?
c. What is the relative intensity of the sound as heard by the listener?
2. A police car siren has a frequency of 512 Hz. They are chasing a suspect at 65.0 m/s.
a. What is the speed of sound if the air temperature is 15.0o?
b. If the suspect is running away from the police car at 10.0 m/s, what is the frequency of
the sound he hears?

Answers

(1.a) The surface area being vibrated by the time the sound reaches the listener is 5,026.55 m².

(1.b) The intensity of the sound wave as it reaches the person listening is 0.02 W/m².

(1.c) The relative intensity of the sound as heard by the listener is 103 dB.

(2.a) The speed of sound if the air temperature is 15⁰C is 340.3 m/s.

(2.b) The frequency of the sound heard by the suspect is 614.3 Hz.

Surface area being vibrated

The surface area being vibrated by the time the sound reaches the listener is calculated as follows;

A = 4πr²

A = 4π x (20)²

A = 5,026.55 m²

Intensity of the sound

The intensity of the sound is calculated as follows;

I = P/A

I = (100) / (5,026.55)

I = 0.02 W/m²

Relative intensity of the sound

[tex]B = 10log(\frac{I}{I_0} )\\\\B = 10 \times log(\frac{0.02}{10^{-12}} )\\\\B = 103 \ dB[/tex]

Speed of sound at the given temperature

[tex]v= 331.3\sqrt{1 + \frac{T}{273} } \\\\v = 331.3\sqrt{1 + \frac{15}{273} } \\\\v = 340.3 \ m/s[/tex]

Frequency of the sound

The frequency of the sound heard is determined by applying Doppler effect.

[tex]f_o = f_s(\frac{v \pm v_0}{v \pm v_s} )[/tex]

where;

-v₀ is velocity of the observer moving away from the source-vs is the velocity of the source moving towards the observerfs is the source frequencyfo is the observed frequencyv is speed of sound

[tex]f_0 = f_s(\frac{v-v_0}{v- v_s} )[/tex]

[tex]f_0 = 512(\frac{340.3 - 10}{340.3 - 65} )\\\\f_0 = 614.3 \ Hz[/tex]

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A parachute falling to the ground.

Answers

Answer:

a parachute falling to the ground is uniform

What are the Applications of electronic polarization?

Answers

Answer:

it can be used for communication, industrial application and also for instrumentation application

Which of the following scenarios will generate electricity using electromagnetic induction?
A. a highly conductive meatal moving within magnetic field

B. a changing magnetic field surrounded by plastic wires

C. electricity Being applied to a magnet

Answers

Answer:

A   generates electricity, the others do not

Explanation:

When you jump, you exert a pushing force against the ground. Gravity pulls you back down. Why can a person jump higher on the moon than on Earth?

Answers

Answer:

This is because the force of gravity is much less on the moon than on the earth, therefore the person wont be pulled down much and will jump higher

Answer: This is because the force of gravity is much less on the moon than on the earth, therefore the person won't be pulled down much and will jump higher.

The picture shows an object resting on a balance.

The object on the balance weighs 0.500 kilograms.

The weight of an object is given by F = mg, where g = 9.8 m/s2. With what force does the object push down on the balance?

Choose the correct answer.


9.3 kg⋅m/s2
9.3 kg⋅m/s, 2

9.8 kg⋅m/s2
9.8 kg⋅m/s, 2

4.90 kg⋅m/s2
4.90 kg⋅m/s, 2

0.500 kg⋅m/s2
0.500 kg⋅m/s, 2
Skip to navigation

Answers

Answer:

4.90kgm^-2

Explanation:

divide 48 into the ratio 2:4

Answers

8 is the answer

Explanation to this answer:

The warning tag on a lawn mower states that it produces noise at a level of 91.0 dB. What is the intensity of this sound in watts per meter squared

Answers

For  a lawnmower that produces noise at a level of 91.0 dB,  the intensity of this sound is mathematically given as

I=1.26*10^-3W/m^2

What is the intensity of this sound in watts per meter squared?

Generally, the equation for the sound   is mathematically given as

B=(10dB)log10(1/1_0)

Therefore

91/10=log(I/10^{-12})

I=1.26*10^-3W/m^2

In conclusion, the intensity

I=1.26*10^-3W/m^2

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A heat engine exhausts 6000 J of heat while performing 2000 J of useful work.
Determine the efficiency of the engine

Answers

Answer:

Explanation:

The efficiency can be calculated by:

[tex]\eta = \frac{Q_{E}-Q_{W}}{Q_{E}}=\frac{6000-2000}{6000}=\frac{2}{3}[/tex]

or we can say it becomes approximately 66.7%

why did the ball move the same distance when it was on the flatbed truck that accelerated 0.2 m/s?

Answers

The relative velocity of the ball with respect to the truck is same as that of the truck with respect to the ball at equal time.

What is relative velocity?

The relative velocity of an object is the velocity of the object observed with respect to rest frame of another object.

Distance traveled by the object

The distance traveled by each object is determined from the prouduct of velocity and time of motion.

d = vt

where;

v is velocityt is time

Thus, if the ball moved the same distance when it was on the flat bed truck, then the relative velocity of the ball with respect to the truck is same as that of the truck with respect to the ball at equal time.

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a cup of coffee has a mass of .297 kg if you place this cup of coffee on a desk and let it sit there undisturbed how much force is the desk exerting on it

Answers

The force of the table upon the cup is 2.9106 N

The desk is exerting a normal force of approximately 2.913 Newtons on the cup of coffee, which is also equal to 2.913 N in magnitude.

The force that the desk exerts on the cup of coffee is known as the normal force. This force counteracts the weight of the coffee cup due to gravity. The normal force is equal in magnitude and opposite in direction to the force exerted by the cup's weight.

The weight of an object is given by the equation:

Weight = mass × acceleration due to gravity

Where:

Mass = 0.297 kg (mass of the coffee cup)

Acceleration due to gravity (on the surface of the Earth) ≈ 9.81 m/s²

Weight = 0.297 kg × 9.81 m/s² ≈ 2.913 kg m/s² (Newtons)

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A atom in its ground state contains 18 electrons. how many of these electrons are in orbital l=0 values?​

Answers

Orbital one has one electron

Question 5 of 10
Which of the following is most likely to happen when energy is transferred to
an object?
O A. The force on the object will decrease.
O B. The object will begin to move.
O C. The object will stay exactly the same.
O D. The mass of the object will increase.

Answers

Answer:

B: The object will start moving

Explanation:

If energy is transferred the object will definitely change so it can't be a. If you add energy the object will have more force so it cant be c. The mass of an object can't increase just by giving an object energy so it cant be d

A sound wave has a frequency of 350 Hz and a wavelength of 2.25m. At what speed will the
sound wave move? Show your work.

Answers

Answer:

787.5m/s

Explanation:

Speed = wavelength x frequency

speed = 2.25m x 350 Hz

= 787.5m/s

theshold frequency ???​

Answers

Answer:

The threshold frequency is defined as the minimum frequency of the incident radiation below which photoelectric emission or emission of electrons is not possible. The threshold frequency refers to the frequency of light that will cause an electron to dislodge emit from the surface of the metal.

An electron of mass 9.11 x 10 -31 kg moves with a speed of 0.8725 c. What is its momentum?

Answers

Explanation:

momentum = mass × velocity

mass = 9.11 × 10^-31

velocity = 0.8725 multiplied by c ( which is the speed of light )

therefore velocity = 0.8725 × 3 × 10^8 = 2.6175 × 10^8 m/s

[tex]m = 9.11 \times 10 {}^{ - 31} \times 2.6175 \times 10 {}^{8} [/tex]

[tex]m = 9.11 \times 2.6175 \times 10 {}^{ - 31 + 8} [/tex]

[tex]m = 23.85 \times 10 {}^{ - 23} kgms {}^{ - 1} [/tex]

if this helped pls give brainliest

In the fishbowl, the glass, water, rocks, and plastic plants are in thermal equilibrium. This situation means the temperature of the rocks is...​

Answers

To cold which it throws off the equilibrium of the other things and sticks to it longer

Help pleasessssssssssssss

Answers

Sorry I had the answer but it wont let me type numbers :(.:

4. The period of the sound wave produced by a 440 Hz tuning fork is​

Answers

Answer:

.002273 seconds

Explanation:

1/f = period

1/ 440 c/s = .002273  seconds

A cosmic ray photon is bombarding a massive object to pieces. The detectors indicates
that two fragments, each of mass 0, depart due to such a collision each moving at
the speed of 0.6c at the angle of 600 relative to the photon’s original direction of
motion. What is the energy of the cosmic ray photon in terms 0 and c ?​

Answers

Answer:

Chapter 1

1. Show that the Lorentz transformation is such that the velocity of a light ray

travelling in the x direction is the same for the observer in the frame S and for

the observer in the frame S

.

Solution: Consider a light ray travelling in the x direction. If the light ray

connects two space–time points {t1, x1} and {t2, x2}, we have

c = x2 − x1

t2 − t1

The speed of light observed in the frame S will be

c = x

2 − x

1

t

2 − t

1

= c

γ ((x2 − x1) − βc(t2 − t1))

γ (c(t2 − t1) − β(x2 − x1))

= c

x2 − x1

t2 − t2

− βc

c − β x2 − x1

t2 − t2

= c

2. What is the mean path before decay for a charged pion with a kinetic energy of

1 GeV?

Solution: The pion has a lifetime 2.6 × 10–8 s and a mass of 139.6 MeV. If the

energy is 1 GeV, the velocity of the pion is 99% of the velocity of light (Eq. 1.4).

The mean path before decay is

= 0.99 c γ τ

= 0.99 c

1000 + 139.6

139.6

2.6 10−8 = 63 m

S. Tavernier, Experimental Techniques in Nuclear and Particle Physics, 271

DOI 10.1007/978-3-642-00829-0, C Springer-Verlag Berlin Heidelberg 2010

272 Solutions to Exercises

3. Show that the relativistic expression for the kinetic energy of a particle (Eq. 1.2)

reduces to the non-relativistic expression if the velocity of the particle is small

compared to the velocity of light.

Solution:

E = Ekinetic + m0c2 = m0c2

1 − (v/c)2

≈ m0c2

(1 − 1/2(v/c)2) ≈ m0c2(1 + 1/2(v/c)

2)

= m0c2 +

1

2

m0v2

4. For a Poisson distribution with average value 16, calculate the probability to

observe 12, 16 and 20 as measured value. Calculate the probability density function for a Gaussian distribution with average value 16 and dispersion 4, for the

values x = 12, 16 and 20. Compare the results.

Solution: For a Poisson distribution P(12) = 0.0829, P(16) = 0.1024, P(20) =

0.0418

For a Gaussian distribution, f(12) = 0.0605, f(16) = 0.0997, f(20) = 0.0605

5. Consider a very short-lived particle of mass M decaying into two long-lived particles 1 and 2. Assume you can measure accurately the energies and momenta of

the two long-lived particles. How will you calculate the mass of the short-lived

particle from the known energies and momenta of the two long-lived objects?

Solution: The mass of the short-lived particle, its energy and its momentum are

related by Eq. (1.1). The energy and momentum of the particle are equal to the

sums of the energy and sums of the momenta of the decay products, therefore

M2c4 = (E1 + E2)

2 − c2(P1 + P2)

2

6. Calculate the order of magnitude of the energy levels in atoms and in nuclei

using the ‘particle in a box’ approximation, Eq. (1.9). Use for the dimension of

the atom 10–10 m and for the dimension of the nucleus 10−15 m.

Solution: Atomic energy levels: ≈40 eV; nuclear energy levels: ≈400 MeV.

7 . Show that in a β− or a β+ decay only a very small fraction of the energy derived

from the mass difference goes to the kinetic energy of the final-state nucleon.

The electron is relativistic; therefore this requires a relativistic calculation! Hint:

the 3-body problem can be reduced to a 2-body problem by considering the

electron–neutrino system as one object with a mass of a few MeV.

Solution. Consider the 2-body decay of some heavy object with mass M into

two objects with masses m1 and m2. The kinetic energy of each of the final-state

particles in the overall centre of mass system is found as follows.

Solutions to Exercises 273

Consider two particles with energy and momentum four vectors p1 and p2.

The symbol pi stands for the four-vector {Ei,cpi}. The energy E appearing in this

expression is the total energy E, i.e. the rest energy mc2 plus the kinetic energy.

The four-vector product (p1.p2) is defined as

(p1.p2) =

(

E1E2 − c2 p1 p2

)

A four-vector product is a Lorentz invariant; this quantity can be evaluated in

any reference frame, and the result is the same. Consider now the quantity

(p1.p2)

m1c2

This is a Lorentz invariant. Evaluating this expression in the rest frame of

particle 1 makes clear that this is the energy of particle 2 seen in the rest frame

of particle 1. This remains true also if one of the particles is in fact a system

of particles, for example the system of the two particles 1 and 2. The energy of

particle 2, seen in the overall centre of mass frame of the particles 1 and 2 is

therefore

E∗

2 = (p1 + p2).p2

(p1 + p2)2

We have the following relations:

(p1 + p2)

2 = M2c4

(p1.p2) = 1

2

(

(p1 + p2)

2 − (p1)

2 − (p2)

2

)

= M2c4 − m2

1c4 − m2

2c4

And therefore finally

E∗

2 = M2c4 + m2

2c4 − m2

1c4

2Mc2

Let us now apply the above relation to the decay

N∗ → N + e− + ¯νe + Q

The symbol Q represents the energy liberated in the reaction. Let us denote

by M∗ the mass of the parent nucleus, by M the mass of the final-state nucleus

and by m the mass of the electron–neutrino system. The kinetic energy of the

nucleus in the final state is given by

274 Solutions to Exercises

Ekin = M∗2c4 + M2c4 − m2c4

2M∗c2 − Mc2

= M∗2c4 + M2c4 − m2c4 − 2M∗c2Mc2

2M∗c2

= (M∗ − M)

2 c4 − m2c4

2M∗c2

=

!

mc2 + Q

The energy of the cosmic ray photon is zero. his means that the photon had insufficient energy to create new particles, and instead, it simply scattered off the massive object.

What is Einstein's energy equation?

Einstein's energy equation, also known as the mass-energy equivalence, relates the energy E of an object to its mass m and the speed of light c. The equation is:

E = mc^2

where:

E is the energy of the object in joules (J)

m is the mass of the object in kilograms (kg)

c is the speed of light in meters per second (m/s)

This equation means that mass and energy are interchangeable, and that a small amount of mass can be converted into a large amount of energy. The equation is an important consequence of Einstein's theory of special relativity, and it has been confirmed by numerous experiments, including nuclear reactions and particle accelerators.

Here in the Question,

We can use the conservation of momentum and energy to solve this problem. Since the two fragments have equal mass and are moving in opposite directions at the same speed, we know they have equal and opposite momenta. Therefore, the initial momentum of the photon must also be equal and opposite to the total momentum of the fragments.

Let's call the initial momentum of the photon p and the mass of each fragment m. The total momentum of the fragments is:

p' = 2mv

where v is the speed of each fragment, which we know is 0.6c. Therefore, we can write:

p' = 2m(0.6c) = 1.2mc

By conservation of momentum, we have:

p = -p'

where the negative sign indicates that the photon is moving in the opposite direction to the fragments. Therefore:

p = -1.2mc

Now we can use conservation of energy to relate the photon's energy E to its momentum p:

E^2 = p^2c^2 + m^2c^4

Substituting the expression we found for p, we get:

E^2 = (1.2mc)^2c^2 + m^2c^4

E^2 = 1.44m^2c^4 + m^2c^4

E^2 = 1.45m^2c^4

Solving for E, we get:

E = mc^2 * sqrt(1.45)

Plugging in the values for m and c, we get:

E = (0 * 9.0 × 10^16 kg) * sqrt(1.45) = 0

Therefore, The photon from a cosmic ray has no energy. This indicates that the photon was merely scattered off the large object since it lacked the energy to produce new particles.

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Suppose a horse leans against a wall as in the figure below.
1.2 m
14 m
1
0.35 m
(0)
(a)
Calculate the force exerted on the wall assuming that force is horizontal and using the data in the schematic representation of the situation. Note that the force exerted on
the wall is equal in magnitude and opposite in direction to the force exerted on the horse, keeping it in equilibrium. The total mass of the horse and rider is 575 kg. Take the
data to be accurate to three digits.

Answers

The force the horse and the rider exerts on the wall is equal to the weight combined acting in the opposite direction:

Force

Given Data

mass of horse and rider = 575kgForce  acting on wall = ??

When a body of mass rests on a surface, it exerts a force equal to the weight of the mass but opposite in direct on the mass/object

hence the force is computed as

Force = mass * acceleration

Force = 575 * 9.81

Force = 5640.75N

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In a steam engine, steam in a cylinder expands against a piston, exerting 10 atm of external pressure. The volume of the cylinder increases by 10 L and simultaneously the steam cools, losing 3,000 kJ of energy to the surroundings. What is the change in energy of the steam

Answers

If steam in a cylinder expands against a piston, exerting 10 atm of external pressure, the change in energy of the steam is mathematically given as

dE= -3010 kJ

What is the change in energy of the steam?

Generally, the equation for the workdone  is mathematically given as

Work = - (pressure * Volume)

Therefore

w= - (10 x 10)

w= -100 L atm

In conclusion

dEnergy = q + work

dE = -3000 + -10.13

dE= -3010 kJ

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Any electricity-charged object creates an electric field. Walking across the carpet in wool socks can create an electric charge. This observation is evidence for which characteristics of electrical forces?

Answers

Explanation:

they generate electricity by contact

Two cars collide at an intersection. One car has a mass of 1300 kg and is
moving 12 m/s to the north, while the other has a mass of 1400 kg and is
moving 11 m/s to the south. What is their combined momentum?

O A. 31,000 kg m/s south
O B. 200 kg m/s north
O C. 31,000 kg m/s north
O D. 200 kg m/s south

Answers

Answer:B

Explanation:sorry they removed my answer for some reason.

Answer: B

Explanation: Sorry these brainly trolls deleted my first one

A car travel from A to B at a speed of 30km per hour the average speed of the car the whole journey is?​

Answers

the formula is Speed=Distance/Time. I can help you if you give me the distance from A to B. Then you would dived that by time to get your speed.

Objects change their speed and/or direction only when

Answers

Answer:

When an external force acts upon them

A physicist would not be consulted on the design for which of the following?
O
A. Golf balls
B. Curtains
C. Aircraft
D. Solar panels

Answers

A physicist would not be consulted on the design for Curtains because there is no scientific laws are used in the making of  Curtains.

What is physicist?

A physicist is a scientist who specializes in the field of physics. It studies the interactions of matter and energy in the physical universe.

So we can conclude that a physicist would not be consulted on the design for Curtains because there is no scientific laws are used in the making of  Curtains.

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A ball which is dropped from the top of building strikes the ground in 2.6 sec. Assume air resistance can be ignored. The height of the building is
approximately

Answers

height = 45.87 m.
I think
i hope this helps!!!!!
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Warm currents cause what type of climate?a. Dryb. Wetc. Frigid =EXPONENTS AND POLYNOMIALSFactoring a quadratic by the ac-methodFactor by grouping (sometimes called the ac-method).22x + 3x-9-First, choose a form with appropriate signs.Then, fill in the blanks with numbers to be used for grouping.Finally, show the factorization. PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54 Factor.x^2 4x +4(x + 2)^2(x+4)^2(2 2)^2(2 4)^2 The partial pressure of oxygen (PO2) in a pulmonary capillary is about 40 mm Hg. Determine the partial pressure that will promote movement of oxygen into the pulmonary capillary from air in the alveolus. 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Brendan listens to student council campaign speeches and tries to discern which candidate to vote for based on the main points and ideas presented in each speech.analyzegain informationcomprehendempathize5. 6) Select the sentence with the correct punctuation (commas, semicolons, colons, and quotation marks.)All the animals except Mollie the mare work diligently to harvest the crops while the pigs' work is to supervise and give orders.All the animals except Mollie the mare work diligently to harvest the crops while the pigs' work is to supervise and give orders.All the animals except Mollie the mare work diligently to harvest the crops while the pigs' work is to supervise and give orders.All the animals except Mollie the mare work diligently to harvest the crops while the pigs' work is to supervise and give orders.All the animals, except Mollie the mare, work diligently to harvest the crops, while the pigs' "work" is to supervise and give orders.6. 7) Choose the best answer.The subject line of an e-mail should have ____.the datewho the e-mail is addressed toa short topic of the informationall of these7. 14) Choose the best answer. It is ________ how Squealer portrays of the battle.inspiringironicaccurate8. 5) Choose the best answer.The style and ____ of an e-mail to a supervisor should be more formal than to a coworker.lengthtone contentorganization9. 7) Choose the best answer.The Sixth Commandment has been altered to read, "No animal shall kill any other animal_____."out of angerwith a knifewithout cause10. 15) Choose the best answer.Describe the relationship between the pigs and the human visitors.They argue the entire time.They are friendly with each other.It is very tense between the two parties.They seem friendly, but the men end up killing the pigs.11. 6) Identify the following scenario as listening to analyze, comprehend, empathize, or gain information. April listens to her science teacher explain how photosynthesis works.empathizecomprehendgain informationanalyze12. 9) Identify the following scenario as listening to analyze, comprehend, empathize, or gain information. Ian watches and listens to a documentary about World War II trying to understand the causes and effects of the war.analyzeempathizecomprehendgain information13. 7 Identify the following scenario as listening to analyze, comprehend, empathize, or gain information. Marco listens to his soccer coach read the names of the players that will start in the championship game.analyzecomprehendgain informationempathize14. 9) Choose the sentence that uses irony. I can't wait to see my friend.We are going over to my aunt's house.It's as clear as mud.15. 17) Choose the best answer.What does Napoleon say in his speech that contradicts the original aims of the revolution?that animals were never equalthat men always knew betterthat old Major was senilethat the aim has always been to be at peace with men Isaiah earned a score of 61 on Exam A that had a mean of 78 and a standard deviationof 10. He is about to take Exam B that has a mean of 200 and a standard deviation of50. How well must Isaiah score on Exam B in order to do equivalently well as he didon Exam A? Assume that scores on each exam are normally distributed. e:13. Which flowers are used to create the focal point with unusual and distinctive shapes?a. Mass Flowersc. Form Flowersb. Line Flowerd. Filler Flowersde nood incide or along 200g of fertiliser is required for a plot of landthat has an area of 8 m?. Find(i) the amount of fertiliser needed for a plot ofland that has an area of 14 m,(ii) the area of land that can be fertilised by450 g of fertiliser How does ageinfluence identity? Read the group of words:Jabbar put away his board game he put it in the closet.Select the correct revision.A Jabbar put away his board game and he put it in the closet.B Jabbar put away his board game in the closet.C Jabbar put away his board game, he put it in the closet.D Jabbar put away his board game. In the closet. Suppose a triangle has two sides of length 42 and 35, and that the anglebetween these two sides is 120. Which equation should you solve to find thelength of the third side of the triangle?A. c=422+352-2(42)(35)sin120sin 35B.sin42120=bOC.2=42+35-2(42)(35)cos120D. c=42+352(42)(35)cos120 Please help! I dont know how to do these :( People who might need to retrieve part or all of their investment relatively soon, such as the elderly, are often advised to invest a higher percentage of their money in bonds, and thus a lower percentage in stocks, than people who can leave the investment untouched for decades. We know, however, that bonds typically have a lower rate of return than stocks.Why would people be advised to invest in assets that give lower average rates of return?a. This is bad advice. People should always invest in whichever assets have the highest average rate of return.b. Although stocks have a higher rate of return in the long run, they are much more volatile, or riskier, in the short run. Therefore, there is a higher probability that the value of the stocks will be less than the original value of the investment for people who might need to withdraw the investment in the short run.c. Since bondholders get paid before stockholders in the event of bankruptcy of a firm, the average "real" rate of return on stocks and bonds will be the same, with bonds being less risky.d. Although stocks have higher average rates of return in the long run, bonds have higher average rates of return in the short run. Therefore, bonds are likely to be more profitable for people who might need to get their investment back in the short run. Find the axis of symmetry and the vertex of the graph of y=3x^2+2x