A bead is swung in a horizontal circle so that the string makes 26° with the vertical as shown in the figure.
a) Find the centripetal acceleration of the bead.
b) If the period of the rotation of the bead is 1.6 s, what are the radius of the circle and the speed of the bead?

A Bead Is Swung In A Horizontal Circle So That The String Makes 26 With The Vertical As Shown In The

Answers

Answer 1

The circle's radius is roughly 0.45 meters, and the bead's speed is roughly 1.77 metres per second.

What kind of force is used to swing a ball on a string in a horizontal circle?

Now that the ball is moving in a circle, it has a centripetal force that always points in that direction and is perpendicular to the velocity that is moving at any given location along the tangent to the circle.

a) The bead's centripetal acceleration is calculated as follows:

a = v² / r

The centripetal force is provided by the component parallel to the string, and the tension in the string is provided by the component running along the string. We'll abbreviate the bead's weight as W.

W(sin26°) = mv² / r

where m denotes the bead's mass.

To solve for the centripetal acceleration, we can rearrange this equation:

a = v² / r = W(sin26°) / m

All that's left to do is enter the values we already know:

W = mg, where g is the acceleration due to gravity (9.8 m/s^2)

a = (9.8 m/s²)(sin26°) / m

a ≈ 4.26 m/s²

b) To determine the radius of a circle, we can utilise the rotation's period and centripetal acceleration:

T = 2πr / v

a = v² / r

Using the first equation's r as a substitute in the second equation, we arrive at:

a = (4π²r) / T², r = (aT²) / (4π²)

Adding the values we are familiar with,

T = 1.6 s,  a = 4.26 m/s², r ≈ 0.45 m

Using the first equation shown above, we can finally determine the bead's speed: v = 2πr / T

Adding the values we are familiar with,

r ≈ 0.45 m

T = 1.6 s

v ≈ 1.77 m/s

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Related Questions

show how three identical 6 resistors must be connected tho have the following effective resistance values 9 and 4 ohms​

Answers

Answer:

connect two 9 ohms resistance in series now it becomes 18 ohm

Which event in a solar cell uses the photoelectric effect?

Answers

Answer:

Electromagnetic waves strike a semiconductor, removing some of

its electrons, which form a current.

Answer:Electromagnetic waves strike a semiconductor, removing some of its electrons, which form a current.

Explanation:

what is the most effective way to convert atms to pascals

Answers

Answer:

1 Atm (atmospheric pressure) is equal to 101325 pascal (Pa). To convert atm to pascal, multiply the atm value by 101325. atm to pascal formula. Pa = atm * 101325.

Explanation:

A snowball rolls off a barn roof that slopes downward at an angle of α= 44.0∘ . (See the figure below) The edge of the roof is H= 14.0 m above the ground, and the snowball has a speed of v = 4.00 m/s as it rolls off the roof. Ignore air resistance.

Answers

The horizontal distance traveled  by the snowball is 4.11 m.

your question is not complete, it seems to be missing the following information;

how far does the ball travel horizontally ?

The given parameters;

angle of inclination,  α = 44.0∘height of the roof, H = 14 mvelocity of the ball, v = 4 m/s

The time of flight of the snowball is calculated as;

\(h_y = v_0_yt + \frac{1}{2} gt^2\\\\14 = (4\times sin(44))t + 0.5\times 9.8t^2\\\\14 = 2.78t + 4.9t^2\\\\4.9t^2 +2.78t - 14 = 0\\\\solve \ the \ quadratic \ equation \ using \ formula \ method;\\\\a = 4.9, \ b = 2.78 ,\ c = -14\\\\t = \frac{-b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\t = \frac{-2.78 \ \ +/- \ \ \sqrt{(2.78)^2 - 4(4.9\times -14)} }{2\times 4.9}\\\\t = 1.43 \ s\)

The horizontal distance traveled  by the snowball is calculated as;

\(X = v_0_x \times t\\\\X = (4 \times cos(44) ) \times 1.43\\\\X = 4.11 \ m\)

Thus, the horizontal distance traveled  by the snowball is 4.11 m.

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The process of recovering valuable or useful materials from waste or scrap is called
a.
recycling.
c.
rebuilding.
b.
renewing.
d.
reducing.


Please select the best answer from the choices provided

A
B
C
D

Answers

The answer is A) Recycling. Recycling has to do with finding something valuable amongst trash. For example, in a dumpster, someone may just find a nice painting. Mark as brainliest :)

Answer:

hi

Explanation:

A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to:.

Answers

A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to √t.

Work is a change in kinetic energy, it should be noted. Power will therefore be determined as follows:

Power = Work / Time = force × velocity

Work = the change in kinetic energy = 1/2 mv2

If work is proportional to time:

W = t

1/2 mv2 = t

v2 = t

v (speed) = √t

Speed is the rate and direction of an object's movement, as well as the rate and duration at which an object is moving along a path. In all other positions, speed is a scalar value while pace is a vector.

Power is inversely related to t. Because the force is constant, the velocity will be a function of t. As a result, the particle's speed is proportional to √t.

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For the following inclined plane, m1 = 5.0 kg, m2 = 6.0 kg, and a = 30° A. Draw force diagrams for blocks m1 and m2. B. Calculate the tension in the string, assuming that the blocks aren't moving. C. Calculate the minimum coefficient of friction between block m1 and the ramp, assuming that the blocks aren't moving​

For the following inclined plane, m1 = 5.0 kg, m2 = 6.0 kg, and a = 30 A. Draw force diagrams for blocks

Answers

Answer:

See attached

Explanation:

For the following inclined plane, m1 = 5.0 kg, m2 = 6.0 kg, and a = 30 A. Draw force diagrams for blocks

two clean, parallel glass plates (hydrophilic) are placed 1.5 mm apart and dipped into the water. what height will the meniscus inside the plates reach?

Answers

Meniscus height is \(9.79 * 10^-3\) m which can be calculated by relation between surface tension, liquid density and acceleration due to gravity.

It is given that d = 1.5 mm

Meniscus height can be calculated as:

h = \((2T)/dPg\)

where T: Surface Tension

P: Liquid density

g = 9.8 \(m/s^{2}\)

T = \(72 * 10^-3 N/m\) that is applicable to water

P = \(10^3 kg/m^3\)

g = 9.8 \(m/s^2\)

d = \(1.5 * 10^-3 m\)

Plug these values in equation h = \((2T)/dPg\)

h = \((2*72*10^-3 N/m)/(1.5*10^-3m * 10^3 kg/m^3 * 9.8 m/s^2)\)

h = \(9.79 * 10^-3 m\)

Therefore, meniscus height is \(9.79 * 10^-3\) m

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PLEASE HELP I WILL GIVE BRAINLYEST!!
Look at the world map shown below.


The picture shows the world map with a horizontal line labeled 'Equator' running across the middle of the map. A dotted line is shown slightly above the equator and parallel to it. This line is labeled 'Tropic of Cancer'. A dotted line is shown slightly below the equator and parallel to it. This line is labeled 'Tropic of Capricorn'. Florida is labeled on the left just above the Tropic of Cancer and Russia is labeled on the right closer to the north pole.


Public Domain


Which statement accurately describes the distribution of sunlight for the regions labeled? (3 points)


Group of answer choices


Florida has shorter seasons because it is more towards the west of the globe.


Russia has a greater number of longitudinal lines, which causes greater temperature differences.


Florida is situated closer to the Tropic of Cancer, which receives more constant and direct rays of the sun.


Russia is situated closer to the North Pole, which is tilted more towards the sun.

Answers

Answer:

Florida is situated closer to the Tropic of Cancer, which receives more constant and direct rays of the sun.

Explanation:

Took the test got it right C

What is the mass of 1 cm³ of water

Answers

Answer:

approximately one gram

The mass of one cubic centimetre of water at 3.98 °C (the temperature at which it attains its maximum density) is closely equal to one gram. The basic unit of measurement for mass in the metric system; one cubic centimeter of water has a mass of approximately one gram.

Answer:one gram

Explanation:

Around 1929, Hubble and other astronomers discovered that the light of distant galaxies displayed red shifts relative to the light of nearby stars. This means that

Answers

Answer:

all distant galaxies are moving away from the Milky Way galaxy and the whole universe is expanding

Explanation:

Land plants are adapted to survive on land through stomata to regulate water regulation, specialized cells, structures that collect sunlight, and water!

Answers

Answer:

stomata to regulate water

specialized cells

Explanation:

Land plants are able to successfully adapt to staying on land through the use of stomata to regulate water loss and through the development of specialized cells that give support to grow erect.

Water regulation is important for the survival of plants on land, otherwise, they may face desiccation as a result of the heat from the sun. The stomata is a structure found on the leaves of land plants that open and close to regulate the amount of water lost to the environment through evapotranspiration. When there is adequate water and the plant can afford to lose some water, the stomata open, otherwise, the stomata close.

Support is also important for land plant's survival and the development of specialized cells in the form of sclerenchyma cells take care of this. The fibers and sclerids are two types of sclerenchyma cells that primarily function to support the land plants.

Which of the following is the source of wealth for a nation in a mercantilism system?
a. religion
B. population
c. natural resources
D. land​

Answers

Answer:

c. natural resources

Explanation:

mercantilism is an economic practice by which governments use their economies

so economies in this mean their natural resources

if am ryt

Answer:

C. natural resources

Explanation:

Mercantilism is based on the concept of a nation's power being directly related to its wealth. A nation's goal under mercantilism was to obtain as much gold and silver as possible and to export more goods than it imported from other nations. Gold and Silver are natural resources.

Various radial distances on a rotating disc have ______ linear velocities and _______ angular velocities.
a.. equal, equal
b. different, different
c. equal, different
d. different, equal

Answers

Various radial distances on a rotating disc have equal linear velocities and different angular velocities. So the correct option is C.

As a rotating disc spins, different points on its surface move at different speeds. This is because the linear velocity of a point on the disc depends on its radial distance from the center of the disc. Points closer to the center of the disc have a smaller radial distance and therefore a smaller linear velocity than points farther away from the center.

On the other hand, the angular velocity of all points on the rotating disc is the same. Angular velocity is a measure of how quickly an object rotates about an axis and is independent of the object's radial distance from the center.

This difference in linear velocity and angular velocity among points on a rotating disc can be observed in many real-life situations, such as the rotation of a vinyl record, a hard drive, or a turbine.

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The half-life of iodine-131 is 8.07 days. If 0.25 g are left after 40.35 days, how many gramswere in the original sample?

Answers

Given data

*The half-life of iodine-131 is t = 8.07 days

*The amount of quantity left is N = 0.25 g

*The number of days is T = 40.35 days

The expression for the radioactivity decay is given as

\(N=N_0(\frac{1}{2})^{\frac{T}{t}}\)

Substitute the values in the above expression as

\(\begin{gathered} \text{0}.25=N_0(\frac{1}{2})^{\frac{40.35}{8.07}} \\ N_0=8\text{ g} \end{gathered}\)

Answer:

See below

Explanation:

40.35 days / (8.07 day per half life) = 5 half lives

.25 = x ( 1/2)^5

.25 / ( 1/2)^5 = x = 8 gm originally

The angular size of Venus has a maximum value of 55" during "inferior conjunction," when it is 0.3AU from Earth (Venus is 0.7AU from Sun). It’s orbital eccentricity is 0.007

Calculate the Diameter (physical size) of Venus.

Answers

The diameter of Venus can be calculated using the angular size at inferior conjunction and its orbital parameters. With an angular size of 55" and a distance of 0.3 AU from Earth, the physical size of Venus can be determined.

The angular size of an object is the angle it subtends at the observer's location. In this case, the maximum angular size of Venus is given as 55" (arcseconds) during inferior conjunction. Inferior conjunction occurs when Venus is positioned between Earth and the Sun, and its distance from Earth is 0.3 AU (astronomical units). Venus is also stated to be 0.7 AU from the Sun.

To calculate the physical size of Venus, we can use the small-angle formula, which relates the angular size, distance, and physical size of an object. The formula is given by:

Angular size (in radians) = Physical size / Distance

Since the angular size is usually measured in arcseconds, it needs to be converted to radians. One radian is equal to 206,265 arcseconds.

Converting the given angular size of 55" to radians:

Angular size (in radians) = 55" / 206,265 ≈ 0.000266 radians

Using the small-angle formula, we can rearrange it to solve for the physical size:

Physical size = Distance × Angular size

Substituting the values, where the distance is 0.3 AU:

Physical size = 0.3 AU × 0.000266 radians ≈ 0.00008 AU

Finally, to convert the physical size from astronomical units to kilometers, we can use the conversion factor of 1 AU = 149.6 million kilometers:

Physical size = 0.00008 AU × 149.6 million kilometers/AU ≈ 12,000 kilometers

Therefore, the diameter (physical size) of Venus is estimated to be approximately 12,000 kilometers.

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2 pts
The energy and penetrating power of nuclear radiation in decreasing order is:
Alpha > beta > gamma
Beta > alpha > gamma
Gamma > beta > alpha

Answers

Answer:

I think the answer 1

Explanation:

im probably wrong too i dont know

Why does a force in the direction opposite an object’s velocity decreasevthe object’s speed?

Answers

Answer:

If the Force Acts in the Direction Opposite to the Direction the Object Moves: In this situation, the force tends to slow the object down, thereby decreasing its kinetic energy. If the kinetic energy decreases, then the change in kinetic energy is negative.

Explanation:

Explain the law of conservation of mass. How is energy converted?

Answers

The law of conservation of mass states that the mass in an isolated system can neither be created nor be destroyed but can be transformed from one form to another.

How is energy converted?

In the conversion of any form of energy, it obeys the law of conservation. That is to say that energy is not lost but can be converted from one form to another.

A form of energy can transform to another form when there is a change in its state.

For example, light energy in bulbs is being converted to heat energy with the bulb is lit.

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Two forces act on a 24 kg mass to give it an acceleration of 28 m/s in the positive x direction. If one of the forces acts in the negative y direction with a magnitude of 260 N, what is the magnitude of the second force?

Answers

The magnitude of the second force acting on the 24 kg mass in the positive x direction is 611 N.

To solve this problem, we need to use Newton's Second Law of Motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. We are given the mass of the object (24 kg) and its acceleration (28 m/s in the positive x direction), and we need to determine the magnitude of the second force acting on it.

Let F₁ be the magnitude of the force acting in the negative y direction and F₂ be the magnitude of the second force acting on the object in the positive x direction. The net force acting on the object can be represented as the vector sum of these two forces:

F = √(F₁² + F₂²)

We know that F = m * a, where m is the mass of the object and a is its acceleration.

Substituting the given values, we get:

F = 24 kg * 28 m/s = 672 N

Squaring both sides and substituting F, we get:

F₁² + F₂² = (672 N)²

Substituting the value of F₁ (260 N) and solving for F₂, we get:

F₂ = √((672 N)² - (260 N)²) = 611 N

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Use coefficients to balance the following equation: (if no coefficient is needed, use "1", do not leave
any box blank!)

Use coefficients to balance the following equation: (if no coefficient is needed, use "1", do not leaveany

Answers

Answer:

P₄ + 3O₂ → 2P₂O₃

Explanation:

To balance an equation we take each element one by one on each side and balance their atoms.

Like P₄ (Tetraphosphorus) in the left side has 4 atoms of phosphorus.

While on the right side P₂O₃ (Diphosphorus Trioxide) has 2 Phosphorus atoms.

So place 2 as a coefficient in front of P₂O₃.

Now Phosphorus atoms (4 atoms) are balanced on each side.

Now number of Oxygen atoms in P₂O₃ = 2 × 3 = 6

On the left left side number of Oxygen atoms in O₂ = 2

To balance Oxygen atoms in each side, place 3 as a coefficient before O₂ on the left.

Therefore, balance equation will be,

P₄ + 3O₂ → 2P₂O₃

A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicular to the bar. The linear speed of the end points of the bar is v. What is the magnitude of the angular momentum l of the bar?.

Answers

The magnitude of the angular momentum (L) of the bar is .\(\frac{1}{6}mbv\).

From the information given:

The rigid uniform bar has a mass = m

Length of the bar = b, and;

Linear speed of the bar endpoints = v

If we consider taking the angular momentum of the rotation, we have:

L = I × ω

where;

I = moment of the inertia

ω = angular velocity

The moment of the inertia for the given rigid uniform bar can be expressed as:

I = \(\frac{1}{2}\) X M X L²

where;

M = mass = m

L = bar's length = b

I = \(\frac{1}{2}\) x m x b²

Also, the angular velocity ω can be expressed as:

ω = v/r

where;

radius r = half of the length = b/2

ω = \(\frac{v}{\frac{b}{2} }\) = 2v/b

Replacing the value of angular velocity and moment of inertia into the above equation for angular momentum; we have:

L = (\(\frac{1}{12}\) x m x b²) x (\(\frac{2v}{b}\))

L = \(\frac{1}{6}\) mbv

Therefore, we can conclude that the magnitude of the angular momentum of the bar (L) is 1/6 mbv

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A wheelchair access ramp has an angle of elevation 38°. If the ramp reaches to the top of a 35 inch high porch, how long is the ramp?
56.9 inches 57.3 inches 56.85 inches 56.6 inches
None of these are correct.

Answers

Answer:

56.85 in

Explanation:

A wheelchair access ramp has an angle of elevation 38. If the ramp reaches to the top of a 35 inch high
56.85 is the correct answer

calculate the gravitational force on a 6.50x102 kg that is 4.15x106 m above the surface of the earth?

Answers

The gravitational force on the object with the mass of 6.50 × 10²kg is 15.09 × 10³ Newtons.

What is Gravitational force?

The gravitational force can be described as a force of attraction which attracts all the physical forms which are having some amount of mass. It is by far the weakest force recognized among all the natural force.

F = Gm₁m₂/ r²

where, F = Gravitational force,

G = Gravitational constant = 6.67 × 10⁻¹¹,

m₁ = 6 × 10²⁴kg,

m₂ = 6.50 × 10²kg

r = 4.15 × 10⁶m

F = 6.67 × 10⁻¹¹ × 6 × 10²⁴ × 6.50 × 10²/ (4.15 × 10⁶)²

F = 260 × 10¹⁵/ 17.22 × 10¹²

F = 15.09 × 10³

F = 15090 N

Therefore, the gravitational force on the object will be 15.09 × 10³ Newtons.

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This is a form of energy representing the motion of the molecules which make up an object. A. Thermal Energy B. Kinetic Energy C. Gravitational Potential Energy D. Chemical Potential Energy

Answers

Answer:

Kinetic energy.

Explanation:

There are many kinds of energy. Some of them are kinetic energy, potential energy, thermal energy etc. The energy that shows the motion of the object is called its kinetic energy.Also, the sum of kinetic energy and the gravitational potential energy is called mechanical energy. Out of the given options, kinetic energy is the form of energy that represents the motion of the molecules which make up an object. Hence, the correct option is (B).

a person lifted the barbell from the ground. the mass of the barbell was 100 kg. it took him 0.5 seconds to move the barbell through a vertical displacement of 1.5 m. what was the average power output during the lift (g

Answers

The average power output during the lift is 2940w.

Given,

a person lifted the barbell from the ground.

The mass of the barbell = 100kg

time taken = 0.5s

displacement = s = 1.5m

we know,

w = mgs

= 100 × 0.5 × 1.5 = 1470j

As we know ,power = work done / unit time

P = 1470j/0.5s = 2940w

Hence,the average power output during the lift is 2940w.

what is power?

Power is always a function of labour output, therefore if a person works at a variable rate depending on the time of day, his power will likewise vary. The idea of average-power enters the picture at this point. Let's study about power, average power, unit, and formula in this session.

Average power is calculated by dividing the total energy used by the total time required. The average quantity of work completed or energy converted per unit of time is known as average power.

The rate at which work is performed on an object is referred to as its power. Power is a temporal concept. It has to do with how quickly a task gets completed.

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The fact that the lunar phases repeat on the same solar dates about every 19 years (the metonic cycle) can be used to __

Answers

The Metonic cycle is a period of almost exactly 19 years after which the lunar phases recur at the same time of the year.

The Metonic cycle is defined as ,235 synodic months is just 2 hours, 4 minutes and 58 seconds longer than 19 tropical years.

In Athens, at 5th century BC, give the cycle to be a whole number of days, 6,940. Using these whole numbers facilitates the construction of a lunisolar calendar.

A tropical year is longer than 12 lunar months and shorter than 13 of them. The arithmetic representation of  12×12 + 7×13 = 235 allows it to be seen that a combination of 12 "short" years (12 months) and 7 "long" years (13 months) will be almost  equal to 19 solar years.

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which is not a common theory on how the effects of hypnosis occurs

Answers

Answer:

EFFECTS Adverse reactions to hypnosis are rare, but may include: Headache. Drowsiness. Dizziness

Convert the normal temperature of human body from Celcius to Kelvin
and Fahrenheit scale.

Answers

Answer:

the normal human body temperature in Celcius is 37°C, in Fahrenheit is 98.6°F, in Kelvin is 310°K

How many values of ml are possible for an electron with orbital quantum number l1 = 3?

Answers

The orbital quantum number, denoted as "l", specifies the shape of the electron's orbital. It can have integral values ranging from 0 to n-1, where n is the principal quantum number. In this case, l1 is given as 3.

To find the number of possible values of ml, which represents the magnetic quantum number, we need to consider the formula 2l + 1. Here, "l" represents the value of l1. Plugging in the given value, we get 2(3) + 1 = 7. Therefore, there are 7 possible values of ml for an electron with orbital quantum number l1 = 3.

It's important to note that ml can have values ranging from -l to +l, inclusive. In this case, since l1 = 3, the possible values of ml are -3, -2, -1, 0, 1, 2, and 3.

For an electron with orbital quantum number l1 = 3, there are 7 possible values of ml, namely -3, -2, -1, 0, 1, 2, and 3.

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A man and woman, drenched in sweat, limping from a building as it crumbles to the ground, muster the last of their strength to rescue humanity from its inevitable extinction at the cold, metal hands of humanoid creatures with artificial intelligence gone awry. For decades, books and movies have dictated how we think of robots. Simply the word "robot" can bring to mind images of evil, mechanical creatures bent on taking over the world and wiping out every glimmer of humanity. And yet, the truth of machines is dramatically different. Today's robots hold little in common with their villainous cousins from action-packed science fiction. Most robots have no interest in harming the human population at all; they exist to aid people in making life safer, healthier, and more productive.For example, jobs such as welding and painting are important to civilization as we know it, but experience has taught us that these activities can be hazardous to human health. In addition, fumes in automobile and airplane factories can harm organic bodies that become exposed to their toxins in the assembly process. Even when the best precautions are taken, workers may still suffer from lack of adequate ventilation. What is the answer to these difficult dilemmas? Robots. Because machines don't rely on clean air or comfortable temperatures, because they can function even in the midst of deadly gasses, they can take over with ease where humans would suffer greatly. Working together, humans and robots can get the job done.A robot's job isn't limited to the terrestrial level, either. Even in space, machines such as the R2 humanoid robot at the International Space Station complete dangerous tasks for astronauts, protecting them from potentially deadly situations. And then, when there are mundane but essential tasks to conduct on the space station, R2 takes care of those, as well, freeing up the astronauts' time for more important responsibilities. Thus, in space and on Earth, robots manage to create healthier, happier humans.In fact, there are robots on Earth that exist specifically to boost human health. Just as contact lenses enhance human sight, robotics can increase human mobility. People with disabilities and various forms of paralysis now have hope that they can achieve better range of motion, when before this wasn't possible. With the help of robots, scientists are working to create an exoskeleton that will attach itself to the outside of the human body, establishing a connection to the human brain. Neuroscientist Miguel Nicolelis has a dream. "We are working with the Brazilian government, who is helping fund the project. At the 2014 soccer World Cup celebrations we hope to have a Brazilian teenager with quadriplegia walk out and make the opening kick."Explosions and car crashes may sell tickets for the summer blockbuster, but robots have so much more to offer, and much of it is positive service to humans. At the heart of the field of robotics is not the creation of people-destroying machines with evil artificial intelligence, but something much more useful. Robots aren't our enemies; instead, they are the valuable result of scientific endeavors to create safer lives for people everywhere. if 3n+2 is an odd number which of the following is an even numberA. 3nB. 3n + 4C. 3n + 3D. (3n) I need a paragraph explaining what dna and rna is plssshelp fast A revolution can best be described as ? how do you prepare rice pudding change into passive voice An advanced civilization is found on a planet 5000 light years away. If we send out a radio wave today, what is the minimum amount of time it would take for us to hear back what is pristine environment If you draw a hand of 4 cards from a shuffled 52 -card deck, what is the probability that all 4 cards will have different suits? Solve this problem in two 2Eways: (a) by counting the number of 4 -card hands with all different suits, and (b) by drawing the cards one at a time and finding the probability that each new card is a different suit from the previous cards. How does an idea enhance the consumers creative experience what is it called when water evaporates from plants? a patient with acute myeloid leukemia (aml) has a neutrophil count that persists at less than 100/mm3. what should the nurse cautiously monitor this patient for? CAPITAL BUDGETING CRITERIA A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows: 0 1 2 3 4 5 6 7 Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180 Project B -$405 $131 $131 $131 $131 $131 $131 $0 What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations. Project A $ Project B $ What is each project's IRR? Round your answer to two decimal places. Project A % Project B % What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Do not round your intermediate calculations. Project A % Project B % From your answers to parts a-c, which project would be selected? If the WACC was 18%, which project would be selected? Construct NPV profiles for Projects A and B. Round your answers to the nearest cent. Do not round your intermediate calculations. Negative value should be indicated by a minus sign. Discount Rate NPV Project A NPV Project B 0% $ $ 5 10 12 15 18.1 23.01 Calculate the crossover rate where the two projects' NPVs are equal. Round your answer to two decimal places. Do not round your intermediate calculations. % What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Do not round your intermediate calculations. Project A % Project B % What diagnostic work up of a young woman with vaginal discharge? what can you say about any two consecutive angles in a parallelogram? A. they are always congruent B. They are always supplymentary C. They are sometimes complementary D. They are both right angles PLEASE HELP!!! DUE SOON!!!Q.1. Twain was nervous about taking the job at the newspaper because heA. worried about moving to a new place B. feared leaving his good friends behind C. felt inexperienced and unfit for the position D. wished to make more than twenty-five dollarsQ.2. Twain's biggest fault when he worked as a printer was that he A. read too much B. set type too slowly C. bothered the apprentices D. complained to the foremanQ.3. What did the paper's editor tell Twain to do so that people would have confidence in a story? 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