A point charge of +3 C is located at the origin of a coordinate system and a second point charge of -6 C is at x = 1.0 m. At what point on the x-axis is the electrical potential zero?

Answers

Answer 1

Answer:

The point at which the electrical potential is zero is x = +0.33 m.

Explanation:

By definition the electrical potential is:

[tex] V_{E} = \frac{K*q}{r} [/tex]

Where:

K: is Coulomb's constant = 9x10⁹ N*m²/C²

q: is the charge

r: is the distance

The point at which the electrical potential is zero can be calculated as follows:

[tex] V_{1} + V_{2} = 0 [/tex]

[tex] K(\frac{q_{1}}{r_{1}} + \frac{q_{2}}{r_{2}}) = 0 [/tex]    (1)

q₁ is the first charge = +3 mC

r₁ is the distance from the point to the first charge  

q₂ is the first charge = -6 mC

r₂ is the distance from the point to the second charge    

By replacing r₁ = 1 - r₂ into equation (1) we have:

[tex]K(\frac{q_{1}}{1 - r_{2}} + \frac{q_{2}}{r_{2}}) = 0[/tex]   (2)

By solving equation (2) for r₂:

[tex]r_{2} = \frac{q_{1}}{q_{1} - q_{2}} = \frac{3 mC}{3 mC - (-6 mC)} = +0.33 m[/tex]

                 

Therefore, the point at which the electrical potential is zero is x = +0.33 m.

I hope it helps you!  

Answer 2

Since the two charges are placed on the x-axis. Then, the electric potential is zero at the distance of 0.66 m from the second point charge on the x-axis.

What is electric potential?

The electric potential at any point is the amount of work needed to move a unit positive charge from infinity to that point.

Given data-

The magnitude of a point charge is, Q = + 3 C.

The magnitude of the second point charge is, Q' = -6 C.

The distance between the two charges is, x = 1.0 m.

The expression for the net electric potential due to both the charges is,

[tex]V = \dfrac{k \times Q}{x} +\dfrac{k \times Q'}{x-y}[/tex]

here,

k is the Coulomb's constant.

y is the distance from the second point charge on the x-axis, where the net potential is zero.

Now, for zero net electric potential due to both the charges we have,

[tex]0 = \dfrac{k \times Q}{x-y} +\dfrac{k \times Q'}{y}\\\\\\-\dfrac{k \times Q'}{y}=\dfrac{k \times Q}{x-y}[/tex]

Solving as,

[tex]-\dfrac{(-6)}{y}=\dfrac{3}{1-y}\\\\6-6y=3y\\\\y =0.66\;\rm m[/tex]

Thus, we can conclude that the electric potential is zero at the distance of 0.66 m from the second point charge on the x-axis.

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Related Questions

the unit for the measure of distance is

Answers

Answer: Well their are many Miles, inches, kilometres, meters, cementers, and so on.

hope it helps you bye

Centimetre, Meter, & Kilometre


Determine the mass of the object below to the correct degree of precision.

272.83 g

272.9 g

272.90 g

272.94 g

Answers

Answer : The correct degree of precision is 272.94 g.

Explanation :

Precision : It is defined as the closeness of two or more measurements to each other.

For Example: If you weigh a given substance five times and you get 2.7 kg each time. Then the measurement is said to be precise.

Level of precision is determined by the maximum number of decimal places.

In the given figure, the value of mass of object is 280 g. From the given options we conclude that the 272.94 g is more close to 280 g and has maximum number of decimal places. So, 272.94 g measurement is said to be precise.

Therefore, the correct degree of precision is 272.94 g.

How does online gaming affect the health of the student

Answers

Answer:

because we more see th online gaming and not eat food and playing that game all the time so it effect the health

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The purpose of the sport called flight archery is to shoot an arrow the greatest possible distance. One of the greatest distances achieved in flight archery is 624 m. What would this distance be in centimeters?

Answers

Answer:

62400 cm

Explanation:

1 m = 100 cm

624m = 62 400 cm

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2. What is the distance between them once they stop (express your answer to the two significant figures)

Answers

Answer:

48 m

Explanation:

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2.

The eastbound train

First convert km/h to m/s

(97 × 1000)/3600

97000/3600

26.944444 m/s

As the train is decelerating, final velocity V = 0 and acceleration a will be negative. Using third equation of motion

V^2 = U^2 - 2as

O = 26.944^2 - 2 × 3.5 S

726 = 7S

S = 726/7

S1 = 103.7 m

The westbound train

Convert km/h to m/s

(127×1000)/3600

127000/3600

35.2778 m/s

Using third equation of motion

V^2 = U^2 - 2as

0 = 35.2778^2 - 2 × 4.2 × S

1244.52 = 8.4S

S = 1244.52/8.4

S2 = 148.2 m

S1 + S2 = 103.7 + 148.2 = 251.86

The distance between them once they stop will be

300 - 251.86 = 48.14 m

Therefore, the distance between them once they stop is 48 metres approximately.

What is the strength of electric field EpEp 0.60 mmmm from a proton? Express your answer to two significant figures and include the appropriate units.

Answers

Answer:

3.99*10^-3N/C

Explanation:

Using

Ep= kq/r²

Where r = 0.6mm = 0.6*10^-3m

K= 8.9*10^9 and q= 1.6*10^-19

So = 8.9*10^9 * 1.6*10^-19/0.6*10^-3)²

= 3.99*10^-3N/C

Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.

Answers

Complete question is;

Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.

Why is Li able to avoid Raj’s tackle? Choose the best description.

A) Raj has more mass and therefore more inertia, so he can change his motion more easily than Li.

B) Raj has more mass and therefore less inertia, so he can change his motion more easily than Li.

C) Li has less mass and therefore more inertia, so he can change his motion more easily than Raj.

D) Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Answer:

Option D - Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

From Newton's first law of motion which is known as law of inertia, an object will remain at rest or continue in constant motion unless an external force acts upon it. This means that Inertia is simply the resistance of an object to any change in its state of rest or motion.

This means that the larger the mass of the object, the more resistance the object will have from an external force. Similarly, the smaller the object, the less resistance it will have from an external force.

Therefore, we can see that larger mass means larger resistance and in turn larger inertia while smaller mass denotes smaller resistance and in turn smaller inertia.

Now, from the question,Li weighs 125 pound and Raj weighs 175 pounds. So, Li has lesser mass than Raj, and so he also has less inertia. Thus, he can change his motion more easily than Raj due to that.

Answer:

Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

i did the test

Which of the following is true of the structures labeled A in the cell membrane?
Choose 1 answer:

(Choice A) A They are membrane proteins.

(Choice B) B They are entirely hydrophobic.

(Choice C) C They are phospholipids.

(Choice D) D They are carbohydrates. Report a problem

Answers

Answer:

they are membrane proteins

Answer: A
They are membrane proteins
Explanation:

Select the correct equations that show that a freely falling rock drops a distance of 80 m when it falls from rest for 4 s .

Answers

Answer:

1 and 4

Explanation:

Calculate the de Broglie wavelength of a 4.5-MeV α particle. Explain if a relativistic or non-relativistic approach is required

Answers

Answer:

4.4x10^-32m

Explanation:

Using

Wavelength = hc/E

= 6.63*10^-34 * 3x10^8/ 4.5 x10^ 6ev

= 4.4*10^-32m

Yes a relativistic approach is used because the particle moves at the speed of light

WILL GIVE BRAINLIEST AND A THANKS TO FIRST CORRECT ANSWER!!!!
Which statements describe processes involved in the accretion of planetesimals and protoplanets? Check all that apply.
Both involve the melting of solid materials in the nebula.
Both involve the formation of solid particles from nebular materials.
Both involve the work of the gravitational push on nebular materials.
Both involve the trapping of gases and the clumping of masses of matter.
Both involve the growing of gas grains with the addition of atoms and molecules.

Answers

Answer: the answers are

(2)Both involve the formation of solid particles from nebular materials

And

(4)Both involve the trapping of gases and the clumping of masses of matter

Explanation:

New theories usually don’t start “from scratch.” For example, the modern model of the atom is the result of new information added to the cloud model. What is the main difference between the cloud model of the atom and the modern model? Group of answer choices Only the modern model includes protons. The cloud model does not include neutrons. Electrons move in specific orbits in the modern model. Electrons exist in a cloud around the nucleus in the cloud model.

Answers

Answer:

Electrons move in specific orbits in the modern model.

Explanation:

I'm still learning so, and D is not the answer.

The main difference between the cloud model of the atom and the modern model is that electrons exist in a cloud around the nucleus in the cloud model.

New theories usually don’t start “from scratch.” For example, the modern model of the atom is the result of new information added to the cloud model.

What is the main difference between the cloud model of the atom and the modern model?

Only the modern model includes protons. NO. Protons were discovered by Rutherford and are part of both models.The cloud model does not include neutrons. NO. Neutrons, discovered by Chadwick, are part of both models.Electrons move in specific orbits in the modern model. NO. Electrons in the modern model move in diffuse areas known as orbitals.Electrons exist in a cloud around the nucleus in the cloud model. YES.

The main difference between the cloud model of the atom and the modern model is that electrons exist in a cloud around the nucleus in the cloud model.

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3. Which statement best describes the research projects that are funded by private

foundations?

a. Research projects that have little chance of success

b. Research projects for a specific cause

c. Research projects concerning the environment

d. Research projects that benefit consumers

Answers

Answer:

b. Research projects for a specific cause

Explanation:

Research funded by private foundations are usually for a specific cause. These type of research are usually properly scrutinized, and must have a high probability of success. Most of these projects may not be to benefit the consumers, but are usually done with a special purpose in mind.

A hollow plastic sphere is held below the surface of a fresh-water lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 cubic meters and the tension in the cord is 900 N. a) Calculate the buoyant force exerted by the water on the sphere. b) what is the mass of the sphere? c) the cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Answers

Answer: a) B = 6811N

              b) m = 603.2kg

              c) 86.8%

Explanation: Buoyant force is a force a fluid exerts on a submerged object.

It can be calculated as:

[tex]B=\rho_{fluid}.V_{obj}.g[/tex]

where:

[tex]\rho_{fluid}[/tex] is density of the fluid the object is in;

[tex]V_{obj}[/tex] is volume of the object;

g is acceleration due to gravity, is constant and equals 9.8m/s²

a) For the hollow plastic sphere, density of water is 1000kg/m³:

[tex]B=10^{3}.0.695.9.8[/tex]

B = 6811N

b) Anchored to the bottom, the forces acting on the sphere are Buoyant, Tension and Force due to gravity:

B = T + [tex]F_{g}[/tex]

B = T + mg

mg = B - T

[tex]m=\frac{B - T}{g}[/tex]

Calculating:

[tex]m=\frac{6811 - 900}{9.8}[/tex]

m = 603.2kg

c) When the shpere comes to rest on the surface of the water, there are only buoyant and gravity acting on it:

B = m.g

[tex]\rho_{w}.V_{sub}.g=m.g[/tex]

[tex]V_{sub}=\frac{m}{\rho_{w}}[/tex]

[tex]V_{sub}=\frac{603.2}{1000}[/tex]

[tex]V_{sub}[/tex] = 0.6032m³

Fraction of the submerged volume is:

[tex]\frac{V_{sub}}{V_{obj}}[/tex] = [tex]\frac{0.6932}{0.695}[/tex] = 0.868

In a walking investigation, Josephine

walked a total distance of 40 feet. At the

halfway point, she had walked for 25

seconds. She stopped for 5 seconds to tie

her shoe and then continued for 25 more

seconds. Sketch a graph that shows

Josephine's distance from the starting point

over time

Answers

Explanation:

She walked 20 feet in the first 25 seconds.  Then she stayed at the 20 foot position for 5 seconds.  Then she walked another 20 feet in 25 seconds.  See attached graph.

What is 4.2 converted into grams

Answers

Explanation:

4.2 converted to grams equal 119.067997125

how can you separate salt from sand ​

Answers

dissolve salt in water then pour the liquid away from the sand and then evaporate the water to recover the salt

Q1: A runner is jogging in a straight line at a steady vr= 6.8 km/hr. When the runner is L= 2.4 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 13.6 km/hr (2 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner. What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a “zero” length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km. Q2: After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far does the bird travel from the beginning (including the distance traveled to the first encounter)? Answer in units of km.

Answers

Answer:

Q1: 3.2km

Q2: 4.8K

Explanation:

Q1:

So db is the distance of bird, and dr is the distance of runner

db = 2vr  and the distance of bird is going to be 2 times greater than the runner.

formulas: db = 2vr & db = 2dr

db = 2drL + (L - x) = 2x2L - x = 2x2L = 3xx = [tex]\frac{2}{3}[/tex]L

Insert it in x = [tex]\frac{2}{3}[/tex]L

[tex]\frac{2}{3}[/tex](2.4km) = 1.6km

Now we use formula db = 2dr

db = 2L - xdb = 2(2.4km) - 1.6kmdb = 3.2km

Q2:

Formulas: Vr = L /Δt & Vb = db/Δt

Vr = L/ Δt ⇒ Δt = [tex]\frac{L}{Vr}[/tex][tex]\frac{2.4km}{6.8km/hr}[/tex][tex]\frac{6}{17}hr[/tex]

(Km cancel each other)

Vb = db/Δt ⇒ db = VbΔt13.6km/hr[tex](\frac{6}{17}hr )[/tex]4.8km

(hr cancel each other)

Hope it helps you :)

What is 1.2 kg converted into mg.
I need to know for step by step please?

Answers

Here’s a good photo to reference when converting in the metric system.

Each time you move down a step you move the decimal to the right, each time you move up a step you move the decimal to the left.

We are going from 1.2 kg or kilograms, which is at the very top left of the ladder. To get to mg or milligrams, we would have to make six jumps, so we’d move the decimal over six times.

1.2 > 12. > 120. > 1200. > 12000. > 120000. > 1200000.

So our final answer would be 1,200,000mg.
AnSweR :-

=> 1200 000 mg

ExPlaNatIoN :

We know that,

1 kg = 1000 g

1 g = 1000 gm

then,

1.2kg = 1.2 × 1000 g = 1200 g

1200 g = 1200 × 1000 mg

=> 1200 000 mg

The atmospheric pressure at normal conditions is equal to 10.33 m under water. Then 1.0mm mercury equals to
mm water.

Answers

Answer:13.6

Explanation:

What is the acceleration of softball if it has a mass of 5 kg and hits the catchers glove with a force of 35 N

Answers

Answer:

50m/s2^

Explanation:

We know , by newton's law of motion .

F=ma

a=f/m

a=25/0.5

a=50m/s2^

Therefore , the acceleration of a softball is  .

Answer:

7 m/s²

Explanation: Force = Mass x acceleration  

Also note that 1 N = 1 kg.m/s²

a=F/ m

a= 35 N/ 5 kg = 35 kg.m/ s²  ÷  kg                 Aside:( so you cross out the kg)

a= 7 m/s²

What is science? Science is observable, testable, replicable, reliable and flexible.

Answers

Answer:

Yes, the answer to the question is correct

Answer:

Here's what I know, As scientist discovered that Science is the method of learning everything about the natural world.

but your answer is quite correct above(◕ᴗ◕✿)

A dog runs 300m North and sees the dog catcher and runs 120 m south .Whats the dogs displacement.The same jogger runs 3 miles around the track, starting and finishing in the same time after completing exactly 12 laps. What is the average velocity now

Answers

Answer:

1. 180 m

2. 1.5 miles/hour

3. 0 m/s

Explanation:

The complete question is

A dog runs 300 m North and sees the dog catcher and runs 120 m south Whats the dogs displacement.

A jogger runs north for 3.0 miles. If this took 2.0 hours, what is the jogger’s average velocity in miles per hour?

The same jogger runs 3.0 miles on the track, starting and finishing his run after completing exactly 12 laps around the track. What is his average velocity?

1. Displacement is how far the dog moves from the original starting point.

If the dog runs 300 m north, and then 120 m south, then the displacement from the starting point will be

displacement = 300 - 120 = 180 m

2. Displacement of the jogger = 3 miles

Time taken by the jogger = 2 hours

velocity of the jogger = ?

Velocity is = displacement/time

velocity = 3/2 = 1.5 miles/hour

3. velocity = displacement/time

if the jogger completes exactly 12 laps around the track, then the jogger will return to the starting point. This means that the jogger's displacement from the starting point is 0 miles

Jogger's velocity will therefore be = 0 m/s

A scientist views an unknown cell under a microscope. Which of the following observations would support the claim that it is a plant cell rather than an animal cell? Choose 1 answer: (Choice A) A It has a cell membrane. (Choice B) B It has chloroplasts. (Choice C) C It is round in shape. (Choice D) D It has a nucleus.

Answers

Answer:

Choice A. It has chloroplast

Plants have chloroplast and animals dont

Explanation:

It having chloroplasts is the observation which would support the claim that it is a plant cell rather than an animal cell.

What is a Chloroplast?

This is as organelle which produces the pigment known as chlorophyll and it is used during the process of photosynthesis.

Plants are known as primary producers and are involved in this process which is why option B was chosen.

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Three. Grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance

Answers

Complete question is;

Three grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance. Which statement can be known about the behavior of the atoms in each container?

A) The atoms in the solid would be moving vigorously around the container.

B) The atoms in the liquid would be vibrating in position.

C) The atoms in the solid would be vibrating in position.

D) The atoms in the gas would be moving slowly around the container.

Answer:

Option C - The atoms in the solid would be vibrating in position

Explanation:

Option A is wrong because the molecules in solids are held together by strong inter molecular forces and therefore can't move about freely but instead will vibrate in their position.

Option B is wrong because the atoms in liquid are more free than those in solids. Thus they will not have room to vibrate.

Option C is correct from the explanation from option A.

Option D is wrong because the atom of the gas would be very loose and free and would therefore be moving very fast around the container

Its c okay I was tryna help and u delete my question

1. An arrow is shot with an initial velocity of 60.0 m/s at an angle of 30.0° above the horizontal. What is the maximum height it will reach?


a. 23 m

b. 46 m

c. 69 m

d. 92 m


2. A projectile is launched horizontally from a cliff with an initial speed of 40 m/s. The cliff is 125 m high and the projectile travels a horizontal distance of 200 m from the bottom of the cliff. What is the speed of the projectile right before it hits the ground?


a. 48 m/s


b. 52 m/s


c. 56 m/s


d. 60 m/s


e. 64 m/s

Answers

Answer:

46m

Explanation:

Given the following :

Initial Velocity (u) = 60

Angle(θ) = 30°

Maximum height it will reach?

The maximum height if a projection is calculated using the formula :

H = u²sin²θ / 2g

Where H = maximum height, g = acceleration due to gravity = 9.8m/s²

H = (60²sin × 0. 5²) / 2(9.8)

H = 900 / 19.6

H = 45.918m

H = 46m

Which of the following is a characteristic of both scientific laws and theories? A. based on scientific evidence B. explain natural phenomena C. based on the opinions of scientists D. not subject to change

Answers

Answer:

A base on scientific event

Explanation:

theories can changeD

they dont explain unusual phenomenaB

Nothing is personal in scienceC

Which transformation of energy occurs when a fan is turned on and the blades start to rotate?

Answers

Answer:

kinetic energy

Explanation:

A wind turbine transforms the mechanical energy of wind into electrical energy. A turbine takes the kinetic energy of a moving fluid, air in this case, and converts it to a rotary motion. As wind moves past the blades of a wind turbine, it moves or rotates the blades. These blades turn a generator

A ball is thrown upward from an initial height of 1.5m the ball reaches a height of 5m then falls to the ground . What Is the distance traveled by the ball? What is the displacement of the ball?

Answers

Answer:

8.5m  and 3.5m

Explanation:

In this problem, we are expected to solve/find the total distance traveled and also the displacement of the ball.

given that the initial height is 1.5m and was thrown to a height of 5m

the total distance covered when the ball falls to the ground

Note (see attached a rough sketch for the pictorial explanation)

1.  The distance for A to B= 3.5 m

2. The distance from B to A= 3.5 m

3. The distance fro A to C= 1.5 m

the total distance is 3.5+3.5+1.5= 8.5m  

the displacement is simply the difference  between the final position and the initial position

displacent= 5-1.5= 3.5m

Within the nebula that was the start of our solar system, a shock wave from an exploding supernova triggered dust particles to be drawn together to form a dense spherical cloud. The accumulation of dust set off a chain reaction. As the core of the cloud attracted more dust, its gravitational pull increased. As this pull increased so did all BUT its

Answers

Answer:

B expansion  

Explanation:

In a cloud of gas and dust known as the solar nebula, the Sun and the planets jointly created 4.6 billion years ago. The solar nebula presumably collapsed as a result of a shock wave from a nearby supernova explosion. Thus, option A is correct.

What nebula that was the start of our solar system?

A nearby supernova explosion's shock wave is most likely what caused the solar nebula to collapse.The planets formed in a thin disk around the Sun, which formed in the centre of the solar system. Moons began to form similarly around the gas giant planets.

Every speck of stuff in the solar system was once a massive nebula, or floating interstellar cloud, before it was shaped into a tidy collection of planets.

Therefore, a shock wave from an exploding supernova triggered dust particles to be drawn together to form a dense spherical cloud.

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Other Questions
which of the following questions can be answered by science? Is biodiversity renewable or nonrenewable? What term describes the moon's path around Earth?eclipsephaserevolutionrotation The probability that daddy will buy bread on his way home is 3/5 while the probability that mummy will buy bread home is 2/7 . find the probability that either mummy or daddy will by bread on their way home Categorize which of the following questions are biased and which are unbiased. a. DO YOU SUPPORT CHANGING THE LAWS TOPREVENT PEOPLE FROM MAKING THEMSELVESAND OTHERS SICK BY SMOKING IN PUBLICPLACES?b. WHO DO YOU PLAN TO VOTE FOR IN THE NEXTPRESIDENTIAL ELECTION?c. ARE YOU ONE OF THOSE ANNOYING PEOPLEWHO LIKES POP SINGERS LIKE TAYLOR SWIFT?d. HOW MUCH WOULD YOU BE WILLING TO PAYFOR A NEW CAR?e. HOW MANY TIMES A WEEK DO YOU EAT REDMEAT FOR DINNER? Name: Graphing in the Coordinate PlanePLS I NEED YOUR HELP If you cannot think of a better way to say what another author said, it is best to:_______.a. keep reading the passage until you can paraphrase.b. quote the author, no matter how long or how often.c. substitute a few words in the sentence for synonyms.d. leave that source out of your paper. Who Ever answers get 30 points (please no guessing) Signals from _______ and the body's _______ are received by the brain and the spinal cord. help!! Find the equation of the line shown Please help with question 2 Briefly explain ONE example of how the environment shaped the social or cultural aspect of a North American Indian group. You have developed a promising anti-cancer agent, but it has poor solubility in water. Which of the following changes should improve water solubility? ( there is two possible answers)a) adding a methyl groupb) adding a hydroxyl groupc) adding a carboxyl groupd) increasing the size of the druge) adding a benzene ring is 6.1 an rational number? F(t) = t-1g(t)= t^3 + 4tFind (f -g)(t) Tonya lives in Texas. On a trip to Kansas her car broke down in Oklahoma. She used a gas station bathroom but did not buy gas. When she got to Kansas she refueled her vehicle and attended her conference where she ate food and purchased a trinket. She paid a sales tax on the trinket. On her way back she detoured to Colorado and marveled at the beauty of the bighorn sheep and the North American river otter. In which states was Tonya a free rider? Jack receives a check from Kappa Company and indorses it "without recourse." This indorsement is:______.a. a blank indorsement.b. a qualified indorsement.c. a restrictive indorsement.d. a special indorsement. Convert 23 kg to ounces (2.2 lbs = 1 kg) (1 lb = 16 ounces) what could English woman colonists not do after they got married Find the distance between: (0, -5) and (2,-5) Round your answer to the nearest hundredths. Five features of Federalism