Suppose you hit a steel nail with a 0.500-kg hammer, initially moving at 15.0 m/s and brought to rest in 2.80 mm. How much is the nail compressed if it is 2.50 mm in diameter and 6.00-cm long

Answers

Answer 1

Complete Question

Suppose you hit a steel nail with a 0.500-kg hammer, initially moving at 15.0 m/s and brought to rest in 2.80 mm. How much is the nail compressed if it is 2.50 mm in diameter and 6.00-cm long.What Average force is excreted on the Nail

Answer:

\(F=2*10^{4}N\)

Explanation:

From the question we are told that:

Mass \(m=0.500kg\)

Initial Velocity \(V=15.0m/s\)

Distance \(x=2.80mm=>0.00280m\)

Diameter \(d=2.50mm=>0.00250m\)

Length \(l=6.00cm=>0.6m\)

Generally the equation for Force is mathematically given by

 \(F=\frac{mv^2}{2d}\)

 \(F=\frac{0.500*15^2}{2.80*10^{-3}}\)

 \(F=2*10^{4}N\)


Related Questions

Please help me



Explain why driver age 16-18 are most likely to be involved in traffic accidents

Answers

Answer:Lack of experience.

Explanation:

Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.

An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. The plane is travelling horizontally at 30.0 m/s at a height of 200.0 m above the ground. What horizontal distance does the package fall before landing?
Question Blank 1 of 1
type your answer...
meters

Answers

Answer:

the answer is 191.7

Explanation:

i dont know the math for it

Room has a sensible heat gain of 4000 btu per hr is to be maintained at 78F when the outside temp is 93F. The temp of the air entering the room is to be 68F. Determine the number of pounds of fresh air per minute that must be used if 75% of the total air is recirculated.

Answers

BTU = Flow Rate In GPM (of water) x (Temperature Leaving Process - Temperature Entering Process) x 500.4*Formula changes with fluids others than straight water.

What is sensible heat?

Sensible heat is the type of heat that causes a change in temperature when you heat or cool an object. For instance, when you heat an ice cube, its temperature will start to rise until it reaches 0 °C, at which time it will begin to melt.

Similar to this, when we heat water from room temperature, it gets hotter and hotter until it begins to boil. Sensible heat is the heat that causes a change in temperature. In other words, the sensation you have is heat.

Latent heat, in contrast, is a type of heat that solely affects phase transitions. Use our latent heat calculator to learn more. The equation for sensible heat is:

=Q=mc p (T f −Ti )

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Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M1 = M2 = 5.45 sm (solar mass), and the orbital period of each star is 3.20 days, find their orbital speed. (The mass of the sun is 1.99E30 kg.)

Answers

Since Two stars M1 and M2 of equal mass make up a binary star system.  their orbital speed is  2.69E4 m/s.

What is the orbital speed  about?

The orbital period of a binary star system is given by the equation:

T = 2 * pi * sqrt(a³ / (G * (M1 + M2)))

where T is the orbital period, a is the semi-major axis of the orbit (half of the distance between the two stars at their closest approach), G is the gravitational constant, and M1 and M2 are the masses of the two stars.

Substituting the given values into this equation, we get:

3.20 days = 2 * pi * sqrt(a³ / (6.67E-11 m³ kg^⁻¹ s^⁻² * (5.45 sm * 1.99E30 kg/sm + 5.45 sm * 1.99E30 kg/sm)))

Solving for the semi-major axis, we find that a = 2.11E11 m.

The speed of each star in the orbit can be found using the equation:

v = sqrt(G * (M1 + M2) / a)

Substituting the values we have calculated, we find that v = 2.69E4 m/s. This is the speed of each star in the orbit.

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A 50 N object is on Earth. What is its mass?

Answers

Answer:   5.10 KG

Explanation:  W = 50 N

                       BY FORMULA

                         W = MG

                          M = W/G

                          M = 50 /9.8

                          M=  5.10 KG

suppose a hiker is on a mountain ridge 1200 meters above sea level. approximately what air pressure will she experience

Answers

Assuming standard atmospheric conditions, the air pressure at sea level is approximately 1013.25 hectopascals (hPa) or 1 atmosphere (atm). The air pressure decreases with altitude following the barometric formula, which states that pressure decreases by about 1 hPa for every 8 meters of ascent.

Using this formula, we can estimate the air pressure at 1200 meters above sea level as follows:

1200 m / 8 m per hPa = 150 hPa

Therefore, the hiker on a mountain ridge 1200 meters above sea level would experience an air pressure of approximately 863.25 hPa (1013.25 hPa - 150 hPa) or about 0.85 atm.

Oberon is a moon of Uranus. It has a mass of 3.01 x 1021 kg and is 761.4 km away from Uranus. If the force of gravity
of Uranus is pulling 3.00 x 1025 N on Oberon, what is the mass of Uranus? (6 points)

Answers

Answer:

acc to formula= F= G m1m2/rsq

mass of Uranus= F×r sq/G×m

M=3.00×10^25×761.4×761.4×10^6/6.67×10^ -11×3.01×10^21

=3×10^25-8×7614×7614/667×301×10^-2-11+21-2

=173918988×10^11/200767

=866×10^11(approx)

what direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.45 a? enter the magnitude of the direct current (in units of amps) in the box given below.

Answers

To provide the same amount of heating power as an alternating current with a peak value of 3.5 A, a given resistor has to have a direct current running through it of around 2.5 A.

In a series circuit, there is only one channel for electrons to take, hence the current is the same magnitude all the way around the circuit. A series circuit's total current is equal to the current flowing through all of its resistances.

The value of a sinusoidal voltage (or any other time-varying voltagerms )'s value is equal to the value of a dc voltage that generates an equivalent quantity of heat (power dissipation) as a result of the circuit current flowing through a resistance.

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PLEASE HELP!!
A box falls out of an airplane that is traveling horizontally at 100m/s. The plane is at an altitude of 300m.
Where does the box land relative to where it was dropped from?

Answers

Answer:

Explanation:

Key point: the vertical motion is free fall, the horizontal motion remains at uniform speed of 100 m/s (because there is no force in the horizontal direction if we neglect air resistance.)

The time of free fall can be calculated first:

h = 1/2 g t^2 => t = sqrt(2 h /g) = sqrt(2 * 300 m / 9.81 s) = 7.82 seconds.

In that time, the horizontal displacement will be

s = v_horizontal * t = 100 m/s * 7.82 s = 782 m.

So the box will land 782 m further than the point it was dropped from (and 300 m lower of course)

Calculate the sum of the electric currents in the three branches of the circuit and compare with the current leaving the source. State the relationship between the two.

Answers

Answer:

Without a diagram or specific values for the circuit, it is not possible to provide a specific answer to this question. However, according to Kirchhoff's Current Law, the sum of the currents entering a junction in a circuit must equal the sum of the currents leaving the junction. Therefore, the sum of the electric currents in the three branches of a circuit must equal the current leaving the source. This relationship is essential to ensure the conservation of electric charge in a circuit.

Explanation:

The total current leaving the source in a circuit is equal to the sum of the currents in all branches of the circuit, according to Kirchhoff's current law.

To calculate the sum of the electric currents in the three branches of the circuit, we need to use Kirchhoff's current law, which states that the sum of the currents entering any node in a circuit must be equal to the sum of the currents leaving that node.

In the circuit, there are three branches with currents of 2 amperes, 3 amperes, and 4 amperes, respectively. According to Kirchhoff's current law, the sum of these currents entering the junction must be equal to the current leaving the source.

Therefore, the sum of the currents in the three branches is:

2 A + 3 A + 4 A = 9 A

This means that a total current of 9 amperes is leaving the source.

The relationship between the sum of the currents in the three branches and the current leaving the source is that they must be equal, according to Kirchhoff's current law. This law is a consequence of the principle of conservation of charge, which states that charge cannot be created or destroyed in a circuit.

Therefore, the total amount of charge entering a node must be equal to the total amount of charge leaving that node, and this is reflected in the principle of conservation of current.

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A movie stunt double is supposed to run across the top of a train (in the opposite direction that the train is moving) and just barely jump off before reaching a tunnel, but after reaching the end of the train (starting from the front). If the train is moving at 150 km/hr, is 2 km long and the tunnel is 20 km away from the end (where the stunt double is going to jump from), how fast (in km/hr) will the stunt double need to run

Answers

Answer:

the required speed/velocity of the stunt double is 13.633 km/h

Explanation:

Given the data in the question;

velocity of train V = 150 km/h

distance = length of train + distance between the tunnel and the end

= 2 km + 20 km = 22 km

first we calculate time t taken by the train to reach the tunnel;

t = distance / velocity

we substitute

t = 22 km / 250 km/h

t = 0.1467 hr

so the velocity of the of the stunt double will be;

velocity = distance / time

we substitute

velocity = 2 km / 0.1467 hr

velocity = 13.633 km/h

Therefore, the required speed/velocity of the stunt double is 13.633 km/h

a heater has a power of 2500W. The heater is turned on for 180 seconds. Calculate the energy transferred by the heater

Answers

The energy transferred by the heater that has a power of 2500W and is turned on for 180s is 450,000J.

How to calculate energy?

Electrical energy is the energy made available for consumption or consumed in the form of electricity or electric power.

Electrical energy can be calculated as follows:

Electrical energy = Power x Time.

The total amount of electrical energy used depends on the total power used by all electrical devices and the total time they are used in the home.

According to this question, a heater has a power of 2500W and is turned on for 180 seconds. The energy can be calculated as follows;

E = 2500W × 180s

E = 450,000J

Therefore, 450,000J is the energy transferred to the heater.

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A hollow glass sphere has a density of 1.3g/cm at 20 C. Glycerine has a density of 1.26 g/cm at 20 C. At what temperature would the sphere begin to float in glycerine

Answers

A hollow glass sphere has a density of 1.3g/cm at 20 C. Glycerine has a density of 1.26 g/cm at 20 C.

To determine the temperature at which the hollow glass sphere begins to float in glycerine, we need to calculate the density of glycerine at various temperatures and compare it to the density of the glass sphere.

The density of glycerine changes with temperature, so we need to use a density-temperature chart or equation to determine the density of glycerine at different temperatures.

Assuming the hollow glass sphere has a uniform wall thickness, we can calculate its volume by subtracting the volume of the hollow interior from the volume of the whole sphere

Volume of sphere = (4/3)π\(r^{3}\)

Volume of hollow interior = (4/3)π\((r-t)^{3}\)

Volume of glass wall = (4/3)π(\(r^{3}\) - \((r-t)^{3}\)), where t is the thickness of the glass wall.

From the density and volume of the glass sphere, we can determine its mass

Mass of glass sphere = Density of glass sphere x Volume of glass sphere

Next, we can use Archimedes' principle to determine the volume of glycerine displaced by the glass sphere when it is submerged in the glycerine

Volume of glycerine displaced = Mass of glass sphere / Density of glycerine at the given temperature

When the glass sphere floats, the volume of glycerine displaced will be equal to the volume of the glass sphere. Thus, we can set the two volumes equal to each other and solve for the temperature at which the density of glycerine matches the density of the glass sphere

Volume of glass sphere = Volume of glycerine displaced

(4/3)π\(r^{3}\) - (4/3)π\((r-t)^{3}\) = Mass of glass sphere / Density of glycerine at the given temperature

Hence, for the temperature requires knowing the radius and thickness of the glass sphere and the mass of the sphere.

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A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)

Answers

If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The

wavelength of the wave is 1.69m.

What is the wavelength?

The wavelength of a wave can be determined using the equation:

Wavelength = velocity / frequency

To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.

frequency = 1 / time

frequency = 1 / 0.230

frequency ≈ 4.35 Hz

Substitute the values into the wavelength equation:

wavelength = velocity / frequency

wavelength = 7.33 / 4.35

wavelength ≈ 1.69m

Therefore the wavelength of the wave is approximately 1.69 meters.

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Using what you already know about newton’s law’s explain how the force applied to the ball by the pitcher and the force applied to the ball by the bat will impact yours ability ti hit a home run

Answers

An item at rest will remain at rest, and an object in motion will continue to move in a straight path at a constant speed, according to the first law of motion, commonly known as the law of inertia.

How is baseball impacted by Newton's first law?

Newton's laws of motion govern how a baseball moves as a result of being thrown or struck. According to Newton's first law, a moving ball will continue to move in a straight line until other forces are acting on it.

What happens when a baseball bat strikes a ball?

The ball is severely distorted by the enormous force the bat applies to it ball being struck. The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. There's a lot of force there!

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Pls help!!
Which situation describes a system with increasing gravitational potential energy?
a boy jumping down from a tree limb
a girl stretching a horizontal spring
a bicyclist riding up a steep hill
a train speeding up on a flat track

Answers

C) a bicyclist riding up a steep hill

The metaphor for a system with rising gravitational potential energy is "a bicyclist riding up a steep hill." Let's get into greater detail:

A cyclist faces resistance from gravity as they ride up a steep slope. The cyclist's elevation, or height above the ground, rises as they cycle and climb uphill. Gravity is pulling the cyclist down the hill by exerting downward force. The cyclist must apply force to the pedals in order to move forward and overcome the pull of gravity. In order to do this, the bicyclist must transform chemical energy from their body into mechanical energy. The distance of the cyclist from the centre of the Earth grows as they ride up the hill. The height and mass of an object affect its gravitational potential energy. In this scenario, as the bicyclist's height rises, their gravitational potential energy also rises.

     Due to the higher elevation, the energy input from the biker is stored as increased potential energy. When the bicycle descends the hill or does work, this potential energy can be transformed back into kinetic energy or other types of energy.

The graphs display velocity data Velocity is on the y-axis (m/s), while time is on the x-axis (s). Based on the graphs, which data set represents constant acceleration?​

The graphs display velocity data Velocity is on the y-axis (m/s), while time is on the x-axis (s). Based

Answers

Answer:

The first graph is showing the constant acceleration (1 m/s)

Explanation:

The second graph showing the flexible velocity therefore a in the graph is different at t1, t2, t3, t4

The last graph is showing constant velocity therefore there is no acceleration (a = 0)

Answer:

A

Explanation:

on edge

Many pigeons live near Martyn’s air conditioning vents. Martyn isn’t able to clean the vents properly, and they often contain dried pigeon droppings. Martyn eventually falls sick with a respiratory illness. Which mode of disease transmission most likely made Martyn sick? A. oral B. aerosol C. vector D. fomite E. direct contact

Answers

Answer:

B) Aerosol

The particles from the pigeon droppings are likely to be transmitted from the air vents directly into Martyn's respiratory system

Answer:

aerosol

Explanation:

52. For the potential-energy diagram in Figure P10.52, what is the maximum speed of a 2.0g particle that oscillates between x=2.0mm and x=8.0 mm?

52. For the potential-energy diagram in Figure P10.52, what is the maximum speed of a 2.0g particle that

Answers

The maximum speed of a 2.0 g particle that oscilates between x= 2.00 mm to x = 8.00 mm is 70.71 m/s.

What is speed?

Speed is the ratio of distance to time of a body.

To calculate the maximum speed of the particle, we use the formula below.

Formula:

v = √(2E/m).................. Equation 1

Where:

v = Maximum SpeedE = Energym = Mass of the particle

From the Graph in the question,

Given:

E = 5 Jm = 2.0 g = 0.002 kg

Substitute these values into equation 1

v = √(2×5/0.002)v = √5000v = 70.71 m/s

Hence, the maximum speed is 70.71 m/s.

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HELLP FO MY FINAL

At an air show, you are watching a group of skydivers when a friend says, "We learned in science class that things fall to Earth because of the law of gravity."

Tell what is wrong with your friend's statement, and explain your reasoning

Answers

The law of gravitation states the attraction force between objects and Earth which results in the objects falling down but it does not explain the reason for this.

A 75.0 kg man pushes on a 500,000 kg wall for 250 s but it does not move.
a. How much work does he do on the wall? ____________
b. How much energy is used?__________
c. How much power is exerted?____________

Answers

Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.

What is force?

In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.

Here,

a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.

b. Since no work is done, no energy is used or transferred.

c. The power exerted by the man can be calculated using the formula:

Power = Work / Time

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Soil erosion is the wearing down of soil. This map provides data on the rate of soil erosion in the united states for a given year. What trend does the mad show? A. Soil erosion rates are high across the united states B. Soil erosion rates are low across the united states C. Siol erosion rates are uniform across the united states D. Soil erosion rates vary across the united states

Answers

Soil erosion is the wearing down of soil. The trend that the map shows is that soil erosion rates vary across the united states.

Hence, option (D) is correct.

What is Soil Erosion?

The removal of the top layer of soil by the action of wind, water, or human activities is known as soil erosion.Sometimes, soil erosion is good for the environment, especially in depositing fertile soil.Soil erosion is a geological action of moving soil.The areas with the highest agricultural activities have the highest rate of erosion.

As shown on the map, soil erosion vary across the United States.

Therefore, option (D) is correct.

Soil erosion is a slow method that happens while the impact of water or wind detaches and gets rid of soil particles, inflicting the soil to go to pot. Soil deterioration and low water excellent because of erosion and surface runoff have turn out to be intense troubles international.

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In 1994, a pumpkin with a mass of 449 kg was grown in Canada. Suppose you want to push a pumpkin with this mass along a smooth, horizontal ramp. You give the pumpkin a good push, only to find yourself sliding backwards at a speed of 4.0 m/s. How far will the pumpkin slide 3.0 s after the push? Assume your mass to be 60.0 kg.

Answers

After pushing the pumpkin hard, you find yourself reversing direction at a speed of 4.0 m/s. 3.0 seconds after being pushed, the pumpkin will slide 12 m. Assume you weigh 60.0 kg.

We can use the conservation of momentum to solve this problem. After the push, the momentum of the system is given by:

p = (449 kg + 60 kg) * v

where v is the speed of the pumpkin and you after the push. Since you end up sliding backward at 4.0 m/s, we have:

v = -4.0 m/s

Substituting this into the expression for momentum, we find:

p = (449 kg + 60 kg) * (-4.0 m/s) = -2036 kg·m/s

The negative sign indicates that the momentum of the system is in the opposite direction of your motion.

During the sliding motion, the net force on the system is given by:

Fnet = (449 kg + 60 kg) * g * sin(θ)

where g is the acceleration due to gravity (9.81 m/s^2) and θ is the angle of the ramp. Since the ramp is smooth and horizontal, θ = 0 and Fnet = 0. Therefore, there is no net force to change the momentum of the system.

Using the equation for motion with constant acceleration, we can find the distance the pumpkin slides in 3.0 seconds:

x = x0 + v0t + (1/2)at²

Since the initial speed of the pumpkin is -4.0 m/s and there is no net force acting on it, its speed remains constant during the slide. Therefore, v0 = -4.0 m/s and a = 0. Substituting these values, we find:

x = x0 + v0t = (-4.0 m/s) * (3.0 s) = -12 m

The negative sign indicates that the pumpkin slides in the opposite direction to your motion. Therefore, the pumpkin slides 12 meters backward (i.e., towards you) in 3.0 seconds after the push.

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How fast does lightning move?
90,000 miler per hour
125,000 miles per hour
175,000 miler per second
90,000 milers per second

Answers

Answer:

about 186,000 miles per second

Explanation:

so your closest bet is probably 175 miles per second

Answer:

Correct answer is 90,000 miles PER SECOND

Explanation:

Free association and dream analysis are techniques used in psychoanalysis to discover a person’s unconscious urges.
Please select the best answer from the choices provided
True or False?

Answers

Answer:

T on edge

Explanation:

Answer:

true

Explanation:

Isaac is standing on a ladder picking apples in his grandfather’s orchard. As he pulls each apple off the tree, he tosses it into a basket that sits on the ground 2.3m down and 3.0m away horizontally. How fast must Isaac throw the apples (horizontally) to land then in the basket?

Answers

Given,

The horizontal distance from Isaac to the basket, i.e., the range, R=3.0 m

The height at which the Isacc is at, h=2.3 m

Given

Nearly all scientists agree that fossil fuels will be used up in a few decades.

Answers

Answer:

yes, this is correct. fossil fuels are a nonrenewable resource, there is a finite amount of them in our planet

True nearly all scientists agree that fossil fuels will be used up in a few decades

find the speed of the object in graph 1

find the speed of the object in graph 1

Answers

The speed of the object for 1 second is 3 m/s.

The speed of the object for 2 seconds is 1.5 m/s.

The speed of the object for 3 seconds is 1.0 m/s.

The speed of the object for 4 seconds is 0.75 m/s.

The speed of the object for 5 seconds is 0.6 m/s.

What is the speed of an object?

The speed of an object is the distance travelled by the object divided by the total time taken for the motion.

The speed of the object for each of the time of motion and total distance traveled is calculated as follows;

v (1 ) = ( 3 m ) / ( 1 s ) = 3 m/s

v ( 2 ) = ( 3 m ) / ( 2 s ) = 1.5 m/s

v ( 3 ) = ( 3 m ) / ( 3 s ) = 1 m/s

v ( 4 ) = ( 3 m ) / ( 4 s ) = 0.75 m/s

v ( 5 ) = ( 3 m ) / ( 5 s ) = 0.6 m/s

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A car is traveling at a constant speed on the highway. Its tires have a diameter of 68.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s , what is the speed of the car?

Answers

Answer:

37.4m/s

Explanation:

since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:

v=55*0.68

v=37.40

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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(05.03 MC)Read and choose the correct option to complete the sentence.Rosario wants to explore a city without a subway. She does not like to drive and prefers not to walk today. What can she do?Rosario puede ________.Question 3 options:tomar el metrotomar un avinrentar un autorentar un mototaxi Select equivalent or not equivalent for each pair of expressions this line? 10. A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line? A college graduate has gotten a job that requires frequent travel to differentfactories. He talks to factory managers about how they ship their products todifferent markets around the world. He tries to convince them to use theshipping services provided by the company he represents. Which two types of careers are part of this college graduate's job?A. Management and office administrationB. Education and salesC. Transportation and educationD. Sales and transportation consecuencias de la evoulucin norteamericana.urgente!!!! a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!) SMART PEOPLE HELP!!!! PLZ!!! I'll GIVE BRAINLYEST!! 10 POINTS!!!! I GEG YOU!!Trinity created a game that uses 8 cards numbered 1 to 8 and six-sided cube numbered 1 to 6. Each player chooses one card and rolls the cube to ditermand the number of spaces to move on the game bored.What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube?A. 1/18B. 1/16C. 1/24D. 1/12 Write one or two sentences stating how the source will help you. pls help a.Identify the biotic limiting factor from the choices below.spaceb. vegetationC. waterd. climate 11. The path of a pirate ship adventure ride at a theme park follows the shape of a parabola. The ship swings back and forth, accelerating to the base and then upwards. The height of a rider above ground level, h m, can be modelled by the equation h = 1.2x - 12x + 30, where x is the horizontal distance of the rider from where the ride begins. (i) On a sheet of graph paper, using a scale of 2 cm to represent 1 m on the x-axis and 4 cm to represent 10 m on the h-axis, draw the graph of h = 1.2x 12x + 30 for 0x 10. (ii) Explain the meaning of the constant term 30 in - the equation. (iii) When a rider is 19.2 m above ground level, water is splashed on him. Find the horizontal distance a rider travels between the two splashes. The perimeter of the figure is 17 centimeters. Find the missing side length. Find the coordinates of each point under the given rotation about the origin (-5, 8); 180 TIME REMAINING 01:48:57 What is the purpose of the website directory provided by the website host? to look up user account information to provide help and training for new customers to store all of a website's content files to archive website usage logs Two blueberry farms are similar in shape. the ratio of the side lengths of the farms is 6 : 7, and the smaller farm has a perimeter of 360 yards. the cost to dig a trench is $0.75 per yard. what is the cost to dig a trench around the larger blueberry farm? i am talking to a mammal; therefore, i am talking to a human the vertex of the parabola below is at the point (3,2) and point (4,6) is on the parabola the ph of a 0.20 m solution of a weak base is 10.5. what is the pkb of this base? A company that manufactures memory chips for digital cameras used the formula c= 126\root(3)(n^(2))+ 1257 to determine the cost c, in dollars, of producing n chips. How much will it cost to produce 230 chips? Sun Shield Corporation has the following data available on December 31 for the year just ended:A 45.22% B. 17.00% C. 20.20% D. 26.00%. Y= 999. Suppose a varies directly as b, and a = 7 when b = 2. Find b when a = 21.