Two vectors A and B are at right angles to each other. The magnitude of A is 3.00. What should be the length of B, so that the magnitude of their vector sum is 5.00?

Answers

Answer 1

Answer: length of B =4.00

Explanation:

for  the vectors A and B and the angle between them as  x.

Magnitude of the sum of A and B is  given as = √(A²+B²+2ABcosx

where

Magnitude of A  = 3.00

Magnitude of the sum of A and B is  5.00

5.00=√(A²+B²+2ABcos90°

5.00= √3² +b² +0

5²= 3² +b²

25=9+b²

b²= 25-9

b² = 16

b=  √16

b= 4


Related Questions

A parallel-plate air capacitor with a capacitance of 240pF has a charge of magnitude 0.146uC on each plate. The plates have a separation of 0.367 mm.
A) What is the potential difference between the plates?
B) What is the area of each plate?
C) What is the electric field magnitude between the plates?
D) What is the magnitude of the surface charge density on each plate?

Answers

Answer:

A. The potential difference is given as

V =q/C=0.146uC/240pF

608.33 V

B) The area of each plate is

A =Cd/eo =9.9525*10^-3m ²

C) the electric field magnitude between the plates=V/d

608.33/0.367mm

=1.657x 10^6 N/C

D) The surface-charge density on each plate=q/A

0.146uC/9.9525 x 10^-3m ²

=1.466 x 10^-5 C/m²

Suppose you figured resistance of a color-coded resistor is 100 ± 5 ohms. You did the Ohms law experiment and measured resistance of the same resistor. You found the measured value is 92 ± 4 ohms. How would you compare the two values? Choose all that are correct. Group of answer choices I will find the percent difference between 100 and 92 ohsm and conclude that they are different I will look at the range of both, such as 100-5 = 95 and 94+4=98. Since the numbers are different, I conclude that they are different within uncertainty I will look at the range of both, such as 100-5 = 95 and 94+4=98. Since the ranges overlap, I can conclude that they are the same within uncertainty. I will draw a dot and whisker plot for both. Since they overlap, I can conclude that they are the same within uncertaitny

Answers

Answer:

* I will look at the range of both, such as 100-5 = 95 and 94+4=98. Since the ranges overlap, I can conclude that they are the same within uncertainty.

* I willl draw a dot-and-whisker plot for both. Since they overlap, I can conclude that they are equal within the uncertainty

Explanation:

The value of all physical measurement has an uncertainty, so it is within a range of values, in this case we must compare the range of values ​​of the resistors

The nominal value is 100 ± 5 Ω

therefore its range of possible values ​​is between

             95 <= R <= 105

For the experimentally measured value

          88 <= R <= 96

as the values ​​overlap we must conclude that they are the same.

When reviewing the different options we have two statements that are correct

* I will look at the range of both, such as 100-5 = 95 and 94+4=98. Since the ranges overlap, I can conclude that they are the same within uncertainty.

* I willl draw a dot-and-whisker plot for both. Since they overlap, I can conclude that they are equal within the uncertainty

Suppose you are an astronaut and you have been stationed on a distant planet. You would like to find the acceleration due to the gravitational force on this planet so you devise an experiment. You throw a rock up in the air with an initial velocity of 9 m/s and use a stopwatch to record the time it takes to hit the ground. If it takes 6.4 s for the rock to return to the same location from which it was released, what is the acceleration due to gravity on the planet?

Answers

Answer:

1.40625m/s²

Explanation:

Using the equation of motion expressed as v = u+gt where;

v is the  final velocity of the ball

u is the initial velocity

g is the acceleration due to gravity

t is the time taken

Given

u = 9m/s

v = 0m/s

t = 6.4s

Required

acceleration due to gravity g

Since the rock is thrown up, g will be a negative value.

v = u+(-g)t

0 = 9-6.4g

-9 = -6.4g

6.4g = 9

divide both sides by 6.4

6.4g/6.4 = 9/6.4

g = 1.40625m/s²

Hence the acceleration due to gravity on the planet is  1.40625m/s²

When the bells are charged up, the left bell acquires a positive charge, the right bell a negative charge. When this occurs, the nut that is suspended between the two bells experiences a torque (it lines itself up with a line between the two bells) but it doesn't experience a net force. What does this tell us about the charge on the nut

Answers

Answer:

Thus simply tells us that The nut has no net charge and so therefore, There will be a negative charge on the left side, and an equal positive charge on the right side

This basically means that the nut has no net charge and thus will have a negative charge on the left side and an equal positive charge on the right side.

What is net charge?

When an object has more protons than electrons, its net charge is positive.

If there are more electrons than protons in an object, the net charge is negative. If the object has an equal number of protons and electrons, it is electrically neutral.

The total charge on a body is the algebraic sum of all the charges on it. Every atom is electrically neutral because it contains the same number of electrons as protons.

This basically means that the nut has no net charge and thus has a negative charge on one side and an equal positive charge on the other.

Thus, this can be implied as per the given scenario.

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Calculate the average speed of a complete round trip in which the outgoing 220 kmkm is covered at 92 km/hkm/h , followed by a 1.0-hh lunch break, and the return 220 kmkm is covered at 55 km/hkm/h . Express your answer to two significant figures and include the appropriate units.

Answers

Answer:

60 km/hr

Explanation:

220 km is covered at 92km/hr in the round trip

There is 1 hour lunch break

During the return of the round trip 220 km is covered at 55km/hr

The first step is to calculate the total distance

= 220km + 220km

= 440km

The time spent during the entire round trip can be calculated as follows

= (220/92) + 1 + (220/55)

= 2.3913 + 1 + 4

= 7.3913

Therefore the average speed can be calculated as follows

= distance/ time

= 440/7.3913

= 59.52

= 60km/hr (approximated to 2 significant figures)

Hence the average speed is 60 km/hr

The speed of sound in humid air than in dry air. Why ​

Answers

Answer:

When moisture is removed from air, its density increases. The speed of sound in a humid air is inversely proportional to the square root of its density. Therefore, the speed of sound in moist air is humidity increases, the velocity of sound increase and vice-versa.

Hope it helps :)

A person running down the hallway at a velocity of 4.2 m/s comes to a stop in a time of 1.8 seconds to avoid hitting the wall. What was the acceleration of the person?
A.) 7.6 m/s/s
B.) -7.6 m/s/s
C.) 2.3 m/s/s
D.) -2.3 m/s/s

Answers

Hshshshhshdhdhdhdhddhdhdhdhdhdh

Answer:

It's not -7.6

Explanation:

All I can tell you

What constant acceleration in si units must a car have to go from zero to 60 mph in 10s. what fraction of g is this? How far has the car traveled when it reaches 60 mph?

Answers

The car would have a constant acceleration of 8.8 ft/s^2 or 2.682 m/s^2. The fraction of g would be .2735 or 2375/10000. The car would have traveled 440 feet when it reaches 60 mph

The density (mass divided by volume) of pure water is 1.00 g/cm^3 that of whole blood is 1.05 g/cm^3 and the density of seawater is 1.03 g/cm^3. Required:a. What is the mass of 5.00 L of pure water?b. What is the mass of 5.00 L of whole blood?c. What is the mass of 5.00 L of seawater?

Answers

Answer:

a) 5000 g

b) 5250 g

c) 5150 g

Explanation:

For easier calculations, the formulas will be converted from g/cm³ to kg/m³, and then back when we're done.

Density of pure water is 1 g/cm³

1 g/cm³ = 1 * 0.001/0.000001

1 g/cm³ = 1000 kg/m³, and thus,

Density of pure blood

1.05 g/cm³ = 1050 kg/m³

Density of seawater

1.03 g/cm³ = 1030 kg/m³

Recall that, Density = mass / volume, and as such, mass = density * volume.

Converting our volume from L to m³

1 m³ = 1000 L, and as such

1 L = 0.001 m³

5 L = 0.005 m³

Mass of pure water = 1000 * 0.005

Mass of pure water = 5 kg

Mass of pure blood = 1050 * 0.005

Mass of pure blood = 5.25 kg

Mass of seawater = 1030 * 0.005

Mass of seawater = 5.15 kg

Converting these masses back to g, we have

Mass of pure water = 5 kg * 1000 g

Mass of pure water = 5000 g

Mass of pure blood = 5.25 kg * 1000 g

Mass of pure blood = 5250 g

Mass of seawater = 5.15 kg * 1000 g

Mass of seawater = 5150 g

A computer monitor uses 200 W of power. How much energy does it use in
10 seconds?
A. 20 J
B. 200 J
C. 20,000 J
D. 2000 J
SUBMIT

Answers

Answer: D (2000 J)

Explanation: p= 200 W

t= 10 s

E=pt

E=200 W * 10s

E= 2000 J

Answer:

it is D.

Explanation:

Please HELP I NEED TO WRITE A PARAGRAPH BUT DON'T KNOW HOW TO EXPLAIN IT!

How does protein, atoms, vitamin d, magnesium, and zinc work together?

Answers

Explain how they interact with each other. I'm not a chem genius but taht would make the most sense.

Hope it helps! Comment if you have any questions and have an amazing day!

1 gram is 0.035 ounces.How many ounces is 200 grams

Answers

Answer:

7.05479

Explanation:

Answer:

200 grams:     ounces:7.05479239 that's the answer

Explanation:

language uses_ to quickly express concepts and ideas

a. emotions
b. letters
c. strings
d. symbols

Answers

Answer:

i try B

Explanation:

A ball thrown vertically is caught by the thrower after 5.1s. Find the maximum height the ball reaches.

Answers

Answer:

h = 31.9 m

Explanation:

Since, the ball took 5.1 s in the air. Hence, the time to reach maximum height will be equal to the half of this value:

t = 5.1 s /2 = 2.55 s

Now, we use 1st equation of motion between the time of throwing and the time of reaching maximum height:

Vf = Vi + gt

where,

Vf = Final Velocity = 0 m/s (since, ball momentarily stops at highest point)

Vi = Initial Velocity = ?

g = - 9.8 m/s² (negative sign for upward motion)

Therefore,

0 m/s = Vi + (-9.8 m/s²)(2.55 s)

Vi = 24.99 m/s

Now, we use second equation of motion for height (h):

h = Vi t + (0.5)gt²

h = (24.99 m/s)(2.55 s) + (0.5)(-9.8 m/s²)(2.55 s)²

h = 63.7 m - 31.8 m

h = 31.9 m

Urgent

The following picture is an example of which type of energy?

Electromagnetic Energy
Nuclear Energy
Electric Energy

Answers

Answer:

I think its n u c l e a r e n e r g y.

Answer:Nuclear EnergyHope this helps!!♥︎

Which statement describes a controlled experiment?

A. It includes more than one control group.

B. It includes a control group and an experiment group.

C. It includes only the control group.

D. It includes only an experimental group.

Answers

Answer:

B

Explanation:

I think this is right.

If it is Good luck!

The controlled experiment includes a control group and an experiment group, this statement describes a controlled experiment, therefore the correct answer is option B.

What is the scientific investigation?

Scientific discovery is the method of finding solutions through in-depth analysis and discovering them through the outcomes of experiments.

True experimental outcomes that can be backed up by data are incredibly important to scientific inquiry.

A regulated investigation where all sensors to measure have been held constant and the scientific element is utilized as a factor associated.

Since the statement depicts a controlled experiment with a control group and an experiment group, option B is the appropriate response.

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Which of these statements describes a species? Group of answer choices
A. A species is a group of organisms that are closely related and produce fertile offspring
B. A species is a group of organisms that are closely related.
C. A species is a group of organisms that live in the same habitat
D. A species is a group of organisms that live in an area and interact.

Answers

I believe the answer would be A .
The answer haves to be A or it could be also D but most likely I am positive that is A

What equation describes conservation of charge?

Answers

Answer:

The equation which describes conservation of charge is [tex]Q_{initial} - Q_{final } = 0[/tex]

Explanation:

The law of conservation charge states that for an isolated system that sum of initial charges is equal to sum of final charges, that is the total charge is conserved.

let the sum of initial charges = [tex]Q_{initial}[/tex]

let the sum of the final charges = [tex]Q_{final}[/tex]

[tex]Q_{initial } = Q_{final}\\\\Q_{initial } - Q_{final} = 0[/tex]

Therefore, the equation which describes conservation of charge is [tex]Q_{initial} - Q_{final } = 0[/tex]

Answer:

[tex]Q_{initial}-Q_{final}=0[/tex]

Explanation:

According to the conservation of charge "Charge can neither be created nor destoryed". This line means the net amount of charges remain conserved, no matter what happens.

Equation will be of the form:

Initial Charge =Final Charge

It can also be written as:

Initial Charge- Final Charge=0

Let Q be the charge:

[tex]Q_{initial}-Q_{final}=0[/tex]

The above equation describes conservation of charge.

Which statement describes Redi’s experiment, which helped disprove spontaneous generation?
A. He examined covered and uncovered meat to determine that maggots came from eggs.
B. He heated milk to show that it could destroy bacteria.
C. He wrote a book on how cells come from other cells through reproduction.
D. He showed that the shape of a flask was important to the experiment.

Answers

Answer:

He examined covered and uncovered meat to determine that maggots came from eggs.

In other other words A



What positively charged subatomic particle is found in the nucleus?

Answers

Answer:

Protons

Explanation:

The Proton is one of the subatomic particles that are found in the nucleus of an atom. The protons are positively charged. They have an electric charge of 1.6 * 10^-19 C. Protons have an approximately 1 atomic mass unit, or otherwise called, 1 amu.

One or more protons, at least, are found in every nucleus if an atom, as they are an essential and very necessary part of the nucleus. Ernest Rutherford, in 1920, named protons, proton

A sprinter accelerates from rest to 9.00 in 1.38 sec.What is his acceleration in a. m/s2b. m/h2

Answers

Answer:

a) The acceleration of the sprinter is 6.521 meters per square second, b) The acceleration of 84512.16 kilometers per square hour.

Explanation:

Note: Statement is incomplete, complete description of the problem is: A sprinter accelerates from rest to [tex]9.00\,\frac{m}{s}[/tex] in 1.38 seconds. What is his acceleration in a. [tex]\frac{m}{s^{2}}[/tex] and b. [tex]\frac{km}{h^{2}}[/tex]?

a) We assume that sprinter accelerates uniformly, so that acceleration ([tex]a[/tex]), measured in meters per square second, can be obtained from this kinematic expression as function of initial and final velocities ([tex]v_{o}[/tex], [tex]v[/tex]), measured in meters per second, and time ([tex]t[/tex]), measured in seconds, as well.

[tex]v = v_{o} + a\cdot t[/tex]

[tex]a = \frac{v-v_{o}}{t}[/tex]

If we know that [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v = 9\,\frac{m}{s}[/tex] and [tex]t = 1.38\,s[/tex], the acceleration experimented by the sprinter is:

[tex]a = \frac{9\,\frac{m}{s}-0\,\frac{m}{s} }{1.38\,s}[/tex]

[tex]a = 6.521\,\frac{m}{s^{2}}[/tex]

The acceleration of the sprinter is 6.521 meters per square second.

b) If we know that a hour is equivalent to 3600 seconds and a kilometer is equivalent to 1000 meters, the result of the previous item is converted by using two consecutive unit conversions:

[tex]a = \left(6.521\,\frac{m}{s^{2}} \right)\cdot \left(\frac{1}{1000}\,\frac{km}{m} \right)\cdot \left(3600^{2}\,\frac{s^{2}}{h^{2}} \right)[/tex]

[tex]a = 84512.16\,\frac{km}{h^{2}}[/tex]

The acceleration of 84512.16 kilometers per square hour.

A hot air balloon is ascending straight up at a constant speed of 6.60 m/s. When the balloon is 11.0 m above the ground, a gun fires a pellet straight up from ground level with an initial speed of 30.0 m/s. Along the paths of the balloon and the pellet, there are two places where each of them has the same altitude at the same time. How far above ground level are these places

Answers

Answer:

[tex]H_1 =39.05 \ m[/tex] OR [tex]H_2 =14.5 \ m)[/tex]

Explanation:

From the question we are told that

The constant speed of the balloon is [tex]v = 6.60 \ m/s[/tex]

The height of the balloon is [tex]h = 11.0 \ m[/tex]

The initial speed of the pellet is [tex]u = 30 \ m/s[/tex]

Generally the height of the balloon at the point it is the same altitude with the pellet is mathematically represented as

[tex]H = h + v * (t)[/tex]

Note: vt is the distance covered by the balloon before the pellet got to it

Generally the height of the pellet when it is the same height with the balloon is mathematically represented using kinematics equation

[tex]s = ut + \frac{1}{2} gt^2[/tex]

So

H = s

=> [tex] ut + \frac{1}{2} gt^2 = h + v * (t)[/tex]

=> [tex] 30t + \frac{1}{2} *( -9.8)t^2 = 11 + 6.60t[/tex]

=> [tex] 4.9t^2 -23.4t + 11= 0[/tex]

using the quadratic formula to solve the above equation

From the quadratic formula calculation

[tex]t_1 = 4.25 \ s[/tex]

   OR

     [tex]t_1 =  0.529  \  s[/tex]

So the height of this two place above the ground is mathematically evaluated as

[tex]H_1 = h + v * (4.25)[/tex]

[tex]H_1 = 11 + 6.60 * (4.25)[/tex]

[tex]H_1 =39.05 \ m[/tex]

OR

[tex]H_2 = h + v * ( 0.529)[/tex]

[tex]H_2 = 11 + 6.60 * (0.529)[/tex]

       [tex]H_2  =14.5 \  m)[/tex]

Why does wine go sour faster
it the cork is removed from the
bottle

Answers

When the cork is removed the gases from the wine are reacting to the oxygen and it creates a chemical reaction while when the cork is still on the chemicals never interact and stay there in the bottle

A crane raises a crate with a mass of 75 kg to a height of 10 m. Given that the
acceleration due to gravity is 9.8 m/s2, what is the crate's potential energy at
this point?
A. 720 J
B. 36,750 J
C. 7,350 J
D. 77 J

Answers

Answer: C. 7,350 J

Explanation:

Just did it in Apex

The crate's potential energy at this point will be 7,350 J.Option C is correct.

What is the potential of the potential energy?

The potential energy is the energy by the virtue of the position in the system. It varies with the height of the system. The potential energy unit is the joule (j).

The given data in the problem is;

m is the mass of the crate= 75 kg

h is the height = 10 m.

a is the acceleration due to gravity = 9.8 m/s²

P is the potential energy of the crate to be found as;

[tex]\rm PE = mgh \\\\ \rm PE =75 \times 9.81 \times 10 \\\\ PE=7350 \ J[/tex]

The potential energy at this point will be 7,350 J.

Hence option C is correct.

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A basketball is shot. After the ball leaves the player's hand, in which direction does the ball accelerate?
A)It always accelerates in the opposite direction that the object is moving.
B) It always accelerates in a upward direction.
C) It always accelerates in a downward direction.
D) It accelerates upward when the ball is rising and downward when it is falling.

Answers

Answer: Always accelerates in a downward direction

Explanation: Gravity is pulling the ball downward

If Vx= 9.5 units and Vy= -6.4 units, determine the magnitude of V

Answers

Answer:

The magnitude of the velocity is approximately 11.45 units

Explanation:

Since they give us the x and y components of the vector velocity, we can find its magnitude via the Pythagorean theorem:

[tex]|v|=\sqrt{9.5^2+(-6.4)^2} \approx 11.45[/tex]

When the Voyager 2 spacecraft sent back pictures of Neptune during its flyby of that planet in 1989, the spacecraft’s radio signals traveled for 4 hours at the speed of light to reach the Earth. How far away was the spacecraft? Give your answer in astronomical units (AU). (2 points) When Mars and Earth are at their minimum separation from each other, they are 0.36 AU apart. How long would it take a radio signal sent from Earth to reach Mars? Give your answer in minutes.

Answers

Answer:

a) 28877 AU

b) 1.795 sec

Explanation:

Time it took the radio signal to reach earth = 4 hours = 4 x 3600 = 14400 s

speed of radio signal = speed of vacuum speed of light  = 3 x 10^8 m/s

Distance traveled by this signal = speed x time

distance = 3 x 10^8 x 14400 = 4.32 x 10^12 m

One Astronomic unit AU is the distance between the Earth and the sun and it is approximately equal to 1.496 x 10^8 m

The distance traveled by the signal in AU = (4.32 x 10^12)/(1.496 x 10^8) = 28877 AU

b) The minimum separation between Earth and Mars = 0.36 AU

This distance = 0.36 x 1.496 x 10^8 = 538560000 m

Time that will be taken for a radio signal to travel this distance = distance/speed

==> 538560000/(3 x 10^8) = 1.795 sec

Question 2
What two qualities of objects does gravity depend on?
What each object is made up of and the distance between them.
What each object is made up of and what material is between them.
Each object's mass and its shape.
Each object's mass and the distance between them.

Answers

Answer:

in pretty sure the last one

The qualities of objects do gravity depend on Each object's mass and the distance between them. Hence the correct option is (4).

Gravity is the force of attraction between two objects with mass. The strength of the gravitational force depends on the mass of each object and the distance between them.

The mass of an object refers to the amount of matter it contains. The greater the mass of an object, the stronger its gravitational pull.

The distance between two objects is also a crucial factor. The gravitational force weakens as the distance between the objects increases. In other words, the force of gravity decreases with increasing distance.

So, the two qualities that gravity depends on are each object's mass and the distance between them.

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The current through a 10 m long wire has a current density of 4 cross times 10 to the power of 6 space open parentheses bevelled A over m squared close parentheses. The wire conductivity is 2 cross times 10 to the power of 7 space open parentheses bevelled S over m close parentheses. Find the voltage drop across the wire. (Answer with the numeric value, don't write the unit V)

Answers

Answer:

The voltage drop across the wire is 2 V

Explanation:

Given;

length of wire, L = 10 m

current density, I/A, μ = 4 x 10⁶ (A/m²)

wire conductivity, σ = 2 x 10⁷ (S/m)

The resistivity of wire is given by;

[tex]\rho = \frac{RA}{L} \\\\But \ R = V/I\\\\\rho = \frac{VA}{IL}[/tex]

Conductivity, σ = ¹/ρ

[tex]\sigma = \frac{IL}{VA}\\ \\V = \frac{IL}{ A \sigma}\\\\V = (\frac{I}{A})\frac{L}{\sigma}\\ \\V = (\mu)\frac{L}{\sigma}\\\\V = (4*10^{6} )*\frac{10}{2*10^{7} } \\\\V = 2 \ V[/tex]

Therefore, the voltage drop across the wire is 2 V

Nate throws a ball straight up to Kayla, who is standing on a balcony 3.8 m above Nate. When she catches it, the ball is still moving upward at a speed of 2.8 m/s. Required:With what initial speed did Nate throw the ball?

Answers

Answer:

9.1m/s  

Explanation:

Nate throws a straight ball to Kayla who is standing at a balcony 3.8m above Nate

When she catches the ball, it is still moving upward with a speed of 2.8m/s

v = 2.8m/s

u = ?

s = 3.8m

a= -9.8(The acceleration has a negative sign because the speed of the ball is declining)    

Therefore the initial speed at which Nate threw the ball can be calculated as follows

v^2= u^2 + 2as

2.8^2= u^2 + 2(-9.8)(3.8)

7.84= u^2 + (-74.48)

7.84= u^2 - 74.48

u^2= 7.84 + 74.48

u^2= 82.32

u= √82.32

u = 9.1m/s    

Hence the initial speed at which Nate threw the ball is 9.1m/s

Other Questions
what is -5 + -66 +(92) = What is the SI unit for mass Read the selection below from the short story The Pit and the Pendulum by Edgar Allan Poe and use your knowledge of the story to answer the question that follows. I saw clearly the doom which had been prepared for me, and congratulated myself upon the timely accident by which I had escaped. Another step before my fall, and the world had seen me no more and the death just avoided was of that very character which I had regarded as fabulous and frivolous in the tales respecting the Inquisition. To the victims of its tyranny, there was the choice of death with its direst physical agonies, or death with its most hideous moral horrors. I had been reserved for the latter. By long suffering my nerves had been unstrung, until I trembled at the sound of my own voice, and had become in every respect a fitting subject for the species of torture which awaited me. Which torture does the passage above reference? being eaten alive by rats being sliced open by a giant blade being killed by falling into a hole being burned alive A farmer performs an experiment to find the amount of fertilizer needed to increase crop yields. She uses differentamounts of fertilizer, measured in pounds per acre (Ib/acre). She then records the yields, in bushels per acre (bu/acre).Her results are shown in the table and graphed on the scatter plot.Which equation best models the farmers data?A, y = 0.37x + 31B, y = 32(1.006)^xC, y = -0.009x^2 + 2.13x - 43D, y = -0.009x^2 + 2.13x + 43 Oklahoma's approximate location is marked with a star on the map above. Its latitude is approximatelyA 57NB. 575C 37ND. 375 How does air pollution relate to conservation? What are your thoughts on Van Gogh's work? (50 to 100 words or more) Two runners begin running laps around a one-mile track at the same time. The first runner completes a mile every 6 minutes and the second runner completes a mile every 8 minutes. After how long will the first runner lap the second runner? Answer these questions based on the Periodic Table entry for sodium What is the atomic mass? 23 2 12 11 8 What is the atomic number? 23 2 12 11 8 How many neutrons does sodium have? 23 2 12 11 8 What is the chemical symbol for sodium? N NA Na No How many protons does sodium have? 23 2 12 11 8 How many electrons does it have in the n = 2 orbit? 23 2 12 11 8 10 points to whoever answers all of these. Richard and his friend Julie collect coins as a hobby. Richard has 8 more coins than Julie. If they have 28 altogether how many coins did Julie have? Write 4.06 x 10^-4 in standard form Which is one of the six fundamental elements that are found in living organisms?heliumsodiumoxygenchlorine How can we know whether a tree is alive or not? Which country was the first to explore the coast of Africa in search of a route to Asia?A EnglandB SpainC FrancePortugal The first women police officers were hired in the 1800s as:___________ The telephone company offers two billing plans for local calls. Plan 1 charges $38 per month for unlimited calls and Plan 2 charges $18 per month plus $0.04 per call. x+y=3y=x-5what is the solution to the system of equations? Solve for fff.-f+2+4f=8-3ff+2+4f=83fminus, f, plus, 2, plus, 4, f, equals, 8, minus, 3, ff = find the value of m!!! 9. You are the sales manager for Solar Panel Company. You receive a commissionbased on the total sales of all the salespeople you manage. Your commission is2 percent of the first $80,000 of sales, 4 percent of the next $80,000, and 5 percentof all sales over $160,000. What is your commission for a month in which yoursalespeople sold $242,100 in solar panels?