A charge of +80 µC is placed on the x axis at x = 0. A second charge of –50 µC is placed on the x axis at x = 50 cm. What is the magnitude of the electrostatic force on a third charge of 4.0 µC placed on the x axis at x = 30 cm?

Answers

Answer 1

Answer:

Explanation:

77

Answer 2

The magnitude of the electrostatic force on a third charge of 4.0 µC placed on the x-axis at x = 30 cm is equal to 77 N.

What is coulomb's law?

According to Coulomb’s law, the force of repulsion or attraction between two charged bodies is the multiplication of their charges and is inversely proportional to the square of the distance between them.

The magnitude of the electric force can be written as follows:

\(F =k \frac{q_1q_2}{r^2}\)

where k has a value of 9 × 10⁹ N.m²/C².

Given, the first charge, q₁ = + 80 ×10⁻⁶ C

The second charge , q₂ = - 50 × 10⁻⁶ C

The third charge, q₃ = + 4 ×10⁻⁶ C

The distance between these two charges (q₁ and q₃) , r = 0.30 m

The distance between these two charges (q₂ and q₃) , r = 0.20m

The magnitude of the electrostatic force on the third charges will be:

\(F =9\times 10^9 (\frac{80\times 10^{-6}C\times 4 \times 10^{-6}C}{(0.30)^2} ) +9\times 10^9 (\frac{50\times 10^{-6}C\times 4 \times 10^{-6}C}{(0.20)^2} )\)

F = 77 N

Therefore, the magnitude of the electrostatic force is equal to 77 N.

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Related Questions

A mechanic pushes perpendicularly on the end of a 0.15m wrench. If the
mechanic applies a force of 230N counter clockwise, what is the torque applied
on the bolt?

Answers

Answer:

τ = 34.5 N.m

Explanation:

The force applied by the mechanic is 230 N.

Thus, F = 230 N

Now, this force is applied in a counterclockwise manner while pushing perpendicularly at the end of the 0.15m long wrench.

Thus, r = 0.15 m

Formula for the torque in this case is;

τ = Fr sin θ

θ = 90° since mechanic pushed perpendicularly.

Thus;

τ = 230 × 0.15 × sin 90

τ = 34.5 N.m

Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?

Answers

The near point of a human eye is about a distance of 25 cm.

The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.

This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.

The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.

In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.

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Which vector is the sum of vectors à and b?

Answers

The vectors addition permits locating the perfect result for the sum of the two vectors in option B).  See attached and the vector is directed to the right and up.

Vector addition is the operation of adding or extra vectors together into a vector sum. The so-known as parallelogram regulation gives the rule for vector addition of or greater vectors. for two vectors and, the vector sum is received via placing them head to tail and drawing the vector from the loose tail to the unfastened head.

A vector is an amount or phenomenon that has impartial residences: importance and direction. The time period also denotes the mathematical or geometrical representation of the sort of quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Vectors are used in technological know-how to describe something that has a direction and a magnitude. they're commonly drawn as pointed arrows, the length of which represents the vector's importance

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Which vector is the sum of vectors à and b?

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Which vector is the sum of vectors and b?

A man is running with a tennis ball in his hand. On his left is a bull's-eye target painted
on the ground. As the man passes the target, he tries to drop the ball on it. The ball
falls to the side of the target, missing the bulls-eye. The ball did not drop straight
down under the force of gravity because the man also acted on the ball with

O a horizontal force.
O a downward force.
O an upward force.
O a backward force.

Answers

Answer: Horizontal force.

The ball did not drop straight down under the force of gravity because the man also acted on the ball with  a horizontal force. So option A is correct

What is Force ?

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

The ball did not drop straight down under the force of gravity because the man acted on the ball with a horizontal force.

As the man runs, he moves the ball in a horizontal direction, which causes it to deviate from its straight-down trajectory under gravity and miss the bull's-eye target.

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Laws of motion are important for the study of objects that are not in motion and objects in motion. Is it true or false?

Answers

Gotta be true because physics
True because objects at rest have a law too

Why venus’s atmosphere cannot support life that current exist in earth

Answers

Explanation:

Venus is a very dry planet and from what we know now, no water. Its surface temperature is very hot and its atmosphere is very thick. Current astronomers believe it would be near impossible to live on Venus due to its conditions.

Hope this helps<3

a)
F E
60. The temperature of source and sink of cannot engine are 400K
and 300K respectively. What is its efficiency?
h) 75%
c) 33.3% d) 25%​

Answers

Answer: 25%

Explanation:

From the question, we are informed that the temperature of source and sink of cannot engine are 400K

and 300K respectively.

The efficiency will be calculated as:

= 1 - t/T

= 1 - 300/400

= 1 - 3/4

= 1/4

= 25%

What do zebras need to survive?

Answers

Answer:

Their Diet

What is black and white and red all over? A zebra with a sunburn! All kidding aside, zebras are easy to identify because of their appearance; they are horse-like animals with white coats and black stripes, and the skin under their coat is black. Zebras are native to Africa, but can be found in zoos throughout the world.

Zebras are herbivores, which means they only eat plants. Specifically, zebras prefer to eat grass that is green and short, but in a pinch they'll eat all kinds of grass. Almost 90% of their diet is made up of grass. They also eat leaves and twigs, and some zebras eat herbs and shrubs, especially at times when grass is scarce.

Zebras need a lot of water. They've been known to drink up to a gallon of water at one time! Wild zebras can actually survive up to five days without water. During the dry season in Africa when there is little rain, zebras will migrate, or travel to follow the rains. Large herds of zebra will travel up to 700 miles to find food and water.

Have a wonderful day! :-)

Explanation:

Almost 90% of their diet is green grass, leaves, twigs, herbs and shrubs.They also need lots of water. They've been known to drink up to a gallon of water at one time.

Calculate the change in the kinetic energy (KE) of the bottle when the mass is increased. Use the formula
KE = one half.mv2, where m is the mass and v is the speed (velocity). Assume that the speed of the soda bottle falling from a height of
0.8 m will be 4 m/s, and use this speed for each calculation.

Record your calculations in Table A of your Student Guide.

When the mass of the bottle is 0.125 kg, the KE is
✔ 1
kg m2/s2.

When the mass of the bottle is 0.250 kg, the KE is
✔ 2
kg m2/s2.

When the mass of the bottle is 0.375 kg, the KE is
✔ 3
kg m2/s2.

When the mass of the bottle is 0.500 kg, the KE is

✔ 4
kg m2/s2.

Answer included in Question

Calculate the change in the kinetic energy (KE) of the bottle when the mass is increased. Use the formulaKE

Answers

Answer:

kinetic energy is given as KE = (0.5) m v²given that : v = speed of the bottle in each case =  4 m/s when m = 0.125 kg KE = (0.5) m v² =  (0.5) (0.125) (4)²

Explanation:

Answer:

1. 0.5    2.  2    3. 3.75    4.  5

Explanation:


In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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A marathoner is trying to improve her skill at pacing herself during her races Select the best technology tool available to help provide feedback to the runner so that
she doesn't "burnout" too fast at the beginning of this grueling competition
O Pedometer
O Spreadsheet checklist
O Stopwatch
O Digital pictures

Answers

Answer: Stopwatch

Explanation: A stopwatch would be the best technology tool available to help provide feedback to the runner so that she doesn't "burn out" too fast at the beginning of a gruelling competition. A stopwatch can help the runner measure her pace and ensure that she runs at a steady, consistent pace throughout the race. Additionally, a stopwatch can be used to track the runner's split times and provide her with detailed feedback on her performance.

I have a homework problem that I don’t even know where to start or what formulas to use

I have a homework problem that I dont even know where to start or what formulas to use

Answers

We will have the following:

a) The velocity after 5 seconds will be:

\(v_f=v_o+at\)

\(v=2.79m/s+(9.8m/s^2)(5s)\Rightarrow v=51.79m/s\)

So, the velocity after 5 seconds will be 51.79m/s.

b) We will have that the distance below the helicopter will be:

\(d=\frac{1}{2}(v_0+v_f)t\)\(d=\frac{1}{2}(2.79m/s+51.79m/s)(5s)\Rightarrow d=136.45m\)

So, it will be 136.45 m below the helicopter.

c) We will have that the velocity and distance given that the helicopter is moving constantly at 2.79m/s will be:

\(v=-2.79m/s+(9.8m/s^2)(5s)^2\Rightarrow v=46.21m/s\)

So, the velocity would be 46.21 m/s.

\(d=\frac{1}{2}(-2.79m/s+46.21m/s)(5s)\Rightarrow d=108.55m\)

So, the distance would be 108.55 m below the helicopter.

A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.​

Answers

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

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VIII
Consider the following situations. Describe your personal feelings about each
situation, and discuss how you could apply the philosophy of individual worth to
each scenario below.
(Examples include: nationality, race, religion, gender, sexual orientation)
A young woman breast-feeds her 2-year-old child while sitting in the waiting room of
a clinic.
Discuss how you apply the philosophy of individual worth?

Answers

Given the scenario described above:

One should not be upset with the young woman for breastfeeding her child in the waiting room. The child's need to be fed must be prioritized so when applying the philosophy of individual worth, the breastfeeding mother can be helped where necessary and praised for her effort.

What is the Philosophy of Individual worth?

The philosophy of individual worth is of the opinion that everyone is worthy of some respect.

In that light, the breastfeeding mother should not be frowned at for breastfeeding her child in the waiting room. If there is a more appropriate area, she should be directed there respectfully.

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If an electron moves in a direction perpendicular to the same magnetic field with this same linear speed,
what is the radius of its circular orbit?

Answers

Answer:

An effect begins to alter movement, and the direction of moves in the circular path is known as centripetal force. Its measurable unit is Newton or Kilogram meter per square of the second. The product of mass and square of velocity divided by the radius of path travel by the body provide s the term centripetal force.

Explanation:

Answer:

An effect begins to alter movement, and the direction of moves in the circular path is known as centripetal force. Its measurable unit is Newton or Kilogram meter per square of the second. The product of mass and square of velocity divided by the radius of path travel by the body provide s the term centripetal force.

Explanation:

Why is it good that adolescents prune their brains

Answers

Answer:

Synaptic pruning is an essential part of brain development. By getting rid of the synapses that are no longer used, the brain becomes more efficient as you age.

a stone dropps 7,11m how long will it take it to fall

Answers

The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.

What is time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.

Formula:

H = ut+gt²/2............ Equation 1

Where:

H = Heightu = Initial velocityt = Timeg = Acceleration due to gravity

From the question,

Given:

u = 0 m/sH = 7.11 mg = 9.8 m/s²

Substitute these values into equation 1 and solve for t.

7.11 = (0×t)+9.8×t²/27.11 = 4.9t²t² = 7.11/4.9t² = 1.451t = √1.451t = 1.2 seconds

Hence, the time it takes the stone to fall is 1.2 seconds.

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A ball of mass 0.4kg is dropped from a height of 30m. Determine the potential energy on impact to the ground

Answers

The answer is 120 joules

Which correctly describes latent heat?

A. The heat of molecules that are under pressure
B. The heat held inside of ice crystals colder than -2°C
C. The heat absorbed or lost by a substance while it's changing state
D. The heat used to change the temperature of a liquid

Answers

Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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As a sports car travels along a level stretch of road with constant speed, most of the power developed by the engine is used to compensate for the energy transformations due to friction forces exerted on the sports car by the air and the road. If the power developed by the engine is 0.824 hp, calculate the total friction force acting on the sports car (in N) when it is moving at a speed of 30 m/s. One horsepower equals 746 W.

Answers

Answer:

20.49 N

Explanation:

From the question given above, the following data were obtained:

Power (P) = 0.824 hp

Velocity (v) = 30 m/s

1 h = 746 W

Force (F) =?

Next, we shall convert 0.824 hp to Watts (W). This can be obtained as follow:

1 h = 746 W

Therefore,

0.824 hp = 0.824 hp × 746 W / 1 h

0.824 hp = 614.704 W

Finally, we shall determine the force as follow:

Power (P) = 614.704 W

Velocity (v) = 30 m/s

Force (F) =?

P = F × v

614.704 = F × 30

Divide both side by 30

F = 614.704 / 30

F = 20.49 N

In 1656, the Burgmeister (mayor) of the town of Magdeburg, Germany, Otto Von Guericke, carried out a dramatic demonstration of the effect resulting from evacuating air from a container. It is the basis for this problem. Two steel hemispheres of radius 0.430 m (1.41 feet) with a rubber seal in between are placed together and air pumped out so that the pressure inside is 15.00 millibar. The atmospheric pressure outside is 940 millibar.
1. Calculate the force required to pull the two hemispheres apart. [Note: 1 millibar=100 N/m2. One atmosphere is 1013 millibar = 1.013×105 N/m2 ]
2. Two equal teams of horses, are attached to the hemispheres to pull it apart. If each horse can pull with a force of 1450N (i.e., about 326 lbs), what is the minimum number of horses required?

In 1656, the Burgmeister (mayor) of the town of Magdeburg, Germany, Otto Von Guericke, carried out a

Answers

The force required to pull the two hemispheres apart 53696.25N and  the minimum number of horses required is 37 .

( Note: 1 millibar=100 N/m2. One atmosphere is 1013 millibar = 1.013×105 N/m2 )

(1)The contact area between the hemispheres is (π x 0.430²) = 0.5805m²

Pressure difference = (940 - 15) = 925millibars.

(925 x 100) = 92,500N/m^2.

(92500 x 0.5805) = 53696.25N. is the force required to part the hemispheres.

(2)\(\frac{53696.25N}{1450N}\) = 37 horses for each side .

37 + 37 = 74 horses will be required.

Force is something which can change the motion of an object, stop it or move it, change its shape or size with it. There are two types of forces, contact forces and non-contact forces. Here, it is a contact force at first, then when the horses come it becomes non-contact force.

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It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³

Answers

Complete question:

It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³. What is the specific gravity of oil?

Answer:

The specific gravity of the oil is 0.8.

Explanation:

Given;

density of the oil, \(\rho_o\) = 800 kg/m³

density of water, \(\rho_w\) = 1000 kg/m³

The specific gravity of any substance is the ratio of the substance density to the density of water.

Specific gravity of the oil = density of the oil / density of water

Specific gravity of the oil = 800/1000

Specific gravity of the oil = 0.8

Therefore, the specific gravity of the oil is 0.8.

A rectangular airstrip measures 31.30 m by 260 m, with the width measured more accurately than the lengthFind the area (in , taking into account significant figures

Answers

The area of the rectangular airstrip is 8138m².

What is area?

Area can be defined as the region bounded by a plane shape

To calculate the area of the rectangular airstrip, we use the formula below.

Formula:

A = LW........... Equation 1

Where:

A = Area of the rectangular airstripL = Length of the airstripW = Width of the airstrip

From the question,

Given:

L = 260 mW = 31.30 m

Substitute these values into equation 1

A = 260×31.30A = 8138 m².

Hence, the area of the rectangular airstrip is 8138m².

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A patient is ordered 200 milligrams of Augmentin 600intravenously. 600 milligrams in 6 milliliters of liquid forIV Injection is available. How many milliliters will youprepare?

Answers

From the information provided we will have that there needs to be prepared 200 mL.

A 5kg mass is pushed with a force of 10N for a distance of 2.5 meters. The work done is​

Answers

W = 25 J

Explanation:

Work done on an object is defined as

\(W = Fd = (10\:\text{N})(2.5\:\text{m}) = 25\:\text{J}\)

If you apply a force of 130 N to the lever, how much force is applied to lift the
crate?

Answers

Answer:171 N

Explanation:

Answer:

171 N.

Explanation:

If you apply a force of 130 N to the lever, how much force is applied to lift thecrate?

I just need the answer to number 1 (with work please)
(Newton’s Second Law)

I just need the answer to number 1 (with work please) (Newtons Second Law)

Answers

Answer:

wish I could help

Explanation:

I been rereading this and I can't solve it lemme go ask people in ma house real quick

which of the following is not a type of energy?

which of the following is not a type of energy?

Answers

Answer:

Neutronic is not a defined type of energy.

A car weighs 15,000 n and its tires are I flared to a pressure of 190 kPa. How large is the area of the cars tires that are in contact with the road

Answers

From pressure definition,  the area of the car tires that are in contact with the road is 0.079 m

What is Pressure ?

Pressure can be defined as the ratio of force to area. It is measured in Pascal.

Given that a car weighs 15,000 N and its tires are I flared to a pressure of 190 kPa. How large is the area of the cars tires that are in contact with the road ?

From the definition of Pressure, P = F/A

Where

P = 190 KPaF = 15,000 NA = ?

190000 = 15000/A

A = 15000/190000

A = 0.079 m

A car will have 4 tires. The area of one in contact with the road will be

A = 0.079/4

A = 0.02 m

Therefore, the area of the car tire that is in contact with the road is 0.02 m

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A 2000 kg car moves at a speed of 30 m/s. To reach this speed, it was necessary to burn 0.1 l of gas. Burning gas provides 30 MJ/l of source energy. Determine the energy efficiency (in %) of this car.

Answers

The energy efficiency of the car is approximately 16.7%.

The energy efficiency of a car is the ratio of the useful work output (in this case, the kinetic energy of the car) to the total energy input (in this case, the energy released by burning the gasoline). The equation for energy efficiency is:

Efficiency = Useful work output / Total energy input

The useful work output can be calculated as the kinetic energy of the car using the equation:

KE = 0.5mv²

where m is the mass of the car and v is its velocity.

Substituting the given values:

KE = 0.5 x 2000 kg x (30 m/s)² = 900,000 J

The total energy input is the energy released by burning 0.1 L of gasoline, which is:

Total energy input = 0.1 L x 30 MJ/L = 3 MJ = 3,000,000 J

Substituting these values into the equation for efficiency:

Efficiency = (900,000 J / 3,000,000 J) x 100% = 0.3 x 100% = 16.7%

Therefore, the energy efficiency of the car is approximately 16.7%.

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true/false. contrast hydrogen bonds, electrostatic attractions, van der waal's attractions, and the hydrophobic force in terms of how and when they form and the role they play in cell biology. paragraph 3 states that overcrow cities and urban spawn have put more peolple and wild animals close A cylinder is shown with a base diameter of 6 centimeters and a height of 8 centimeters. What is the minimum number of identical containers Rene would need to make 2,000 cm3 of ice? (Use = 3.14.) On behalf of the great state of Illinois. let me express my deep gratitude for the privilege of addressing this convention. Tonight is a particular honor for me... My father grew up herding goats, went to school in aBut my grandfather had larger dreams for his son. Through hard work and perseverance my father got a scholarship to study in AmericaI stand here knowing that my story is part of the larger American story that I owe a debt to all of those who came before me, and that in no other country on earth, is my story even possibleWhat is the central claim Mr. Obama is making in this section of the speech?O Mis background makes him perfect for public officeO He has a unique rags-to-riches story despite his hard upbringingAmerica is a unique country that helped him become who he isO Even though his parents and grandparents would have preferred to live elsewhere, they knew America would give him the greatest opportunities Lincoln makes an appeal to logos through his? You are approaching a police car at 68. 1 mph and the police car is approaching you at 94. 8 mph. Assume that the speed of sound is 700 mph. A. If the police car has a 1224 hz siren, what frequency do you hear? 1s. "Valeria and her family play the board game Parrots and Pirates on game night. Players who land on a cannon space roll a 6-sided weighted penalty die to determine how many gold doubloons they will lose. To see how the die is weighted, Valeria rolls it 15 times and records the results. Based on the data, what is the probability of rolling a 6 with this die. kelsey and her 4 sisters spent an equal amount of time cleaning their home. their parents added their times. they found that each of the 5 girls spent 3 hours cleaning. let c be the total number of hours the girls spent cleaning. write and solve a division equation to find the total number of hours the girls spent cleaning Where is Mount Vesuvius? Mount Etna? Mount Pinatubo? Mount St.Helens? Popocatpetl? Eyjafjallajkull? Volcn de Fuego? Show some work please Ignoring relevant background issues will make your writing less persuasive and effective True or false Consider the case of an entrepreneur who is thinking about building a hotel in a town with only one other hotel. Should this individual build a hotel that is identical to the existing one, or a clearly differentiated one? Carefully explain your logic from the perspective of economics. Why did you square it? For a population with mean 354 and standard deviation 33, what is the value of the mean of the sampling distribution of the sample mean for samples of size 313?Give your answer as an integer. . A person attempts to cross a river in a straight line by navigating a boat at 15m/s. If the river flows at 5.0m/s from his left to right, what would be the magnitude of the boat's resultant velocity? In what direction would the boat go, relative to the straight line across it? What kind of 'retaliation" does Dana have toward Rufus? Rufus toare these effective? Explain. Tilt the pencil from side to side while continuing to look at it from the side. Describe what you see. the poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.truefalse Find c. Round to the nearest tenth: he newly synthesized drug called numb3caine contains an amine group, an aromatic group, and an ester linkage. hydrolysis of which moiety would be expected to terminate the action of the drug?