if the speed of a car is increased by 50%, bywhat factor will its minimum braking distance be increased, assuming all else is the same?

Answers

Answer 1

When the speed of a car increases by a factor of 50%, the minimum braking distance will also be increased by a factor.

Braking distance will increase by a factor  2.25

Solution

From Newton's equation of motion, we can say that;

v² = u² + 2as

Where initial velocity is zero, we have;

v² = 2as

s = v²/2a

s is the distance and v is the final speed.

50% increase in speed means it has increased by a factor of 1.50

Hence we have

1.50²v² is directly proportional to the 1.50²d

Distance = 1.50²v² = 2.25d

Hence, breaking distance will increase by a factor 3.0625

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Related Questions

Which of the following types of stars had the smallest initial mass?

Answers

Hi mate plz post a picture i don’t know how to help u

cuales son las características de un generador eléctrico? ​

Answers

Answer:

Los generadores eléctricos funcionan según el principio de inducción electromagnética. Una bobina conductora (una bobina de cobre enrollada firmemente sobre un núcleo de metal) se hace girar rápidamente entre los polos de un imán tipo herradura. La bobina conductora junto con su núcleo se conoce como armadura.

A 9.0-V battery costs $3.00 and will deliver 0.0250 A for 26.0 h before it must be replaced. Calculate the cost per kWh.

Answers

Answer:

it is 17 dollars .

Explanation:

I had a test like this and I remember the qeustions

A 9.0-V battery costs $3.00 and will deliver 0.0250 A for 26.0 h before it must be replaced. then the cost per kWh is $512.82.

What is energy ?

Energy is nothing but the ability to do work. there are different energies in different form which are thermal energy, mechanical energy, electric energy and sound energy etc. According to first law of thermodynamic, Energy neither be created nor be destroyed. it can only be transferred from one form into another form. Energy is expressed in joule (J). its dimensions are [M¹ L² T⁻²].

The energy delivered by the battery can be calculated using the formula:

energy = power x time

where power is the product of voltage and current, and time is given in hours.

The power delivered by the battery is:

power = voltage x current = 9.0 V x 0.0250 A = 0.225 W

The time for which the battery will deliver this power is 26.0 hours.

So, the energy delivered by the battery is:

energy = power x time = 0.225 W x 26.0 h = 5.85 Wh

To convert Wh to kWh, we divide by 1000:

energy = 5.85 Wh ÷ 1000 = 0.00585 kWh

The cost per kWh can be calculated by dividing the cost of the battery by the energy delivered, and then multiplying by 1000 to convert to dollars per kWh:

cost per kWh = (3.00 dollars / 0.00585 kWh) x 1000 = 512.82 dollars/kWh (rounded to two decimal places)

Therefore, the cost per kWh for this battery is $512.82.

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is the bulk mean temperature of 25°c for air a good assumption?

Answers

A bulk mean temperature of 25°C for air can be considered a reasonable assumption in many cases, but it depends on the specific context and location.

The assumption of a bulk mean temperature of 25°C for air can be a reasonable approximation in certain scenarios. However, it is important to note that air temperatures vary significantly based on factors such as geographic location, time of year, and local climate patterns. In some regions and during certain seasons, an average temperature of 25°C might be quite accurate.

For example, in tropical regions or during summer months in temperate areas. However, in other locations or during different seasons, this assumption may not hold true. In colder climates or during winter months, the average air temperature could be significantly lower than 25°C. Similarly, in hotter regions or during heatwaves, the average temperature might be considerably higher. Therefore, when considering the bulk mean temperature of air, it is essential to take into account the specific circumstances and obtain accurate data for the particular location and time period of interest.

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What happens during heat transfer within Earth?

Group of answer choices

Answers

Warmer, less dense material rises.

Explanation:

This happens when heat transfers.

On that same 30. °C day, you blow the same whistle with a frequency of
3.5x10^4 Hz. What is the wavelength of the sound?

Answers

The sound would have a wavelength of about  9.8 * 10^-3 m.

What is the wavelength?

The wavelength is a characteristic of a wave that describes the distance between two successive points in the wave that are in phase, or the distance over which the wave's shape repeats. It is typically denoted by the Greek letter lambda (λ) and is measured in meters (m) or other units of length.

Given that the speed of sound in air is 343 m/s

v= λf

λ = v/f

λ =  343 m/s/3.5x10^4 Hz

λ =  9.8 * 10^-3 m

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Which letter represents the normal force acting on the box?
A
B
C
D
What is the answer

Which letter represents the normal force acting on the box?ABCDWhat is the answer

Answers

Answer: (C)

Explanation:  (B) is the weight of the box acting downwards

(A) is the frictional force acting on the box because of moving forward against the plane

(D) is the force that moves the box forward

( C) is perpendicular to the box which means it is at 90 degrees with the box. Normal usually means at 90 degrees

A crowbar is used to lift a load of 1200 N by placing it at a distance of 25 cm from the fulcrum.
the force required at 60 cm from the fulcrum to balance the load.

Answers

Answer:

500 N

Explanation:

From the question,

Sum of clockwise moment = sum of anti clockwise moment.

F×d = F'×d'.................. Equation 1

Where F = Force applied to lift the load, d = distance, F' = Force required, d' = distance of the required force from the fulcrum

Make F' the subject of the equation

F' = F×d/d'.................. Equation 2

Given: F = 1200 N, d = 25 cm, d' = 60cm.

Substitute these values into equation 2

F' = 1200×25/60

F' = 500 N.

Hence the force required to balance the load is 500 N

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te
ce
A child in a swing makes 5 complete back and forth
vibrations in 18.5 seconds. Determine the vibrational
frequency of the child, along with the corresponding unit.
Enter your answer with at least 3 significant digits.
Frequency
Tap to enter answer.
Tap to
pick unit.
awha

onteceA child in a swing makes 5 complete back and forthvibrations in 18.5 seconds. Determine the vibrationalfrequency

Answers

The vibrational frequency of the child is 0.270 Hz.

What is the frequency of the child?

The vibrational frequency of the child can be calculated by dividing the number of complete back and forth vibrations by the time taken to complete them.

Frequency = Number of vibrations / Time taken

The child makes 5 complete back and forth vibrations in 18.5 seconds, so the frequency can be calculated as:

Frequency = 5 / 18.5 = 0.27027 Hz

Rounding off to three significant digits, the vibrational frequency of the child in the swing is 0.270 Hz. The unit for frequency is hertz (Hz).

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a series of ocean waves, each 24.0 m from crest to crest and moving past an observer at a rate of 6.0 waves per second, has what speed?

Answers

A succession of waves in the water traveling at a speed of 144 m/s are each 24.0 m from peak to crest and passing an observer at a rate of 6.0 waves per second.

What do you think the movement of wave crests across the water is called?

The wavelength (the horizontal distance between two crests or troughs), amplitude (the vertical distance between a dip and a crest), and wave velocity are crucial wave parameters (the speed at which wave crests move across the water).

What is the term for the distance between a wave's crest and equilibrium?

A wave's tallest points are known as its crests. The term "troughs" refers to the wave's lowest points. The amplitude, A, is the distance from equilibrium to the crest (or trough). The wavelength,, is the separation between one crest and the next (or from one trough to the next).

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A movie director creates a scene in which people on Spaceship #1 can see approach of Spaceship #2 and hear its engines. The director
hires a scientist to review the scene.
What should the scientist tell the director?

A .The scene needs no changes because light and sound waves can both travel through space.


B. The scene needs changes because neither light waves nor sound waves can travel through space.

C. The scene needs changes because sound waves can travel through space, but light waves cannot.

D. The scene needs changes because light waves can travel through space, but sound waves cannot.

A,B,C or D plz answer !

Answers

Answer:

It is D.

Explanation:

Sound travels by the movement of particles bumping against each other and if there is no particles in a vacuum(space) then there is no sound. Light can travel through space because it doesn't need to travel by/through particles.

In four pulley system a load of 800n is overcome .If MA is 3 . Calculate the effort applied VR and efficiency

Answers

Answer:

effort = 266.66N

VR and efficiency are 8 and 37.5% respectively.

Explanation:

Given data: four pulley system, load = 800 N, Mechanical advantage MA = 3

we have to calculate both velocity ratio and efficiency

If there are n movable pulleys connected to a fixed pulley then

VR = \(2^{n}\)

In the given question there are 4 pulleys in which one must be fixed and 3 movable

Therefore, VR = 2^3 = 8

Also, MA = Load/ effort

⇒ 3= 800/effort

⇒ effort = 266.66N

Also we know that

Efficiency = MA/VR

⇒Efficiency = 3/8 = 37.5%

Therefore, VR and efficiency are 8 and 37.5% respectively.

please help help help help help

I will give brainlist and I will follow you​

please help help help help helpI will give brainlist and I will follow you

Answers

Answer:

1st One (The tendency of objects to keep doing what they are doing)

Explanation:

Inertia is simply the tendency of an object to keep on doing whatever it is doing. It is the natural tendency of an object to stubbornly maintain its state of motion.

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An excited hydrogen atom could, in principle, have a radius of 1.00 mm. What would be the value of n for a Bohr orbit of this size? What would its energy be?

Answers

The value of n for a Bohr orbit with a radius of 1.00 mm is approximately 137.

In the Bohr model of the hydrogen atom, the radius of the electron orbit is given by the formula:

r = (0.529 Å) * n^2 / Z

Where:

r is the radius of the orbit

n is the principal quantum number

Z is the atomic number (which is 1 for hydrogen)

Given that the radius of the orbit is 1.00 mm, we can convert it to angstroms (Å) since the Bohr radius is typically expressed in angstroms. 1 mm is equal to 10,000 Å.

r = 1.00 mm = 10,000 Å

Plugging the values into the formula, we have:

10,000 Å = (0.529 Å) * n^2 / 1

Simplifying the equation:

n^2 = 10,000 Å / 0.529 Å

n^2 ≈ 18,913

To find the value of n, we take the square root of both sides:

n ≈ √18,913

n ≈ 137.43

Since the principal quantum number, n, must be a positive integer, we round it to the nearest whole number:

n ≈ 137

To determine the energy of the excited hydrogen atom in this orbit, we use the formula for the energy of the hydrogen atom in the Bohr model:

E = -13.6 eV / n^2

Plugging in the value of n:

E = -13.6 eV / (137^2)

E ≈ -13.6 eV / 18,769

E ≈ -7.25 × 10^-4 eV

The energy of the excited hydrogen atom in this orbit is approximately -7.25 × 10^-4 eV. The negative sign indicates that the electron is in an excited state with higher energy than the ground state.

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pls help with my science homework
3b

pls help with my science homework3b

Answers

A.  Time taken for swing of a pendulum is 2.3 seconds per swing.

B. To find the time for one swing more accurately, the student can increase the number of swings, use a stopwatch with higher precision, minimize external disturbances, and repeat the experiment to calculate the average time.

The time taken for 20 swings of a pendulum is 46 seconds. To find the time for one swing, we need to divide the total time by the number of swings.

a. Time for one swing: 46 seconds / 20 swings = 2.3 seconds per swing.

To find the time for one swing more accurately, the student can employ the following techniques:

1. Increase the number of swings: By measuring the time for a larger number of swings, the student can reduce the impact of measurement errors and obtain a more precise average time. For example, measuring the time for 100 swings and then dividing by 100 would provide a more accurate estimate.

2. Use a stopwatch or timer with higher precision: Using a stopwatch or timer that provides more decimal places or higher precision can help capture smaller time intervals more accurately. This can reduce rounding errors and improve the accuracy of the measurement.

3. Minimize external disturbances: To ensure accurate timing, it is important to minimize external disturbances that may affect the pendulum's motion, such as air drafts or vibrations. Conducting the experiment in a controlled environment can help reduce these disturbances and enhance measurement accuracy.

4. Repeat the experiment: Performing the measurement multiple times and calculating the average time can help account for any inconsistencies or random errors in the measurements. This can lead to a more reliable and accurate estimate of the time for one swing.

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An object has a mass of 3.8 kg and a force of 11.6 N is applied to it. What is the acceleration that results?

Answers

F=ma
11.6=3.8*a
a=11.6/3.8
a=3.05m/s

the south celestial pole and the north celestial pole lie in the sky directly along what?

Answers

In the sky just above the Earth's axis are the south and north celestial poles.

What is the name of the place in the sky right over the South Pole?

The Southern Celestial Pole lies located precisely above the Southern Axis of the Earth, as you may already be aware. It is the location where the whole southern sky seems to revolve. Above Earth's northern and southern poles are the south and north celestial poles.

What latitude do the south and north celestial poles fall?

The two places in the sky where the axis of rotation of the Earth crosses the celestial sphere are known as the north and north celestial poles. Investigators at Humanity's North Pole the South Pole, respectively, see the northern and southern celestial poles as being straight overhead all the time.

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Potential Energy of a Rollercoaster


At a particular point on a track (call it Position A), a rollercoaster ( m = 120 kg m=120kg) is at a height of 32 m 32m above the ground. The track drops steeply down to a height of 5.2 m 5.2m above the ground, rises to 26 m 26m above the ground, then drops again to a height of 15 m 15m above the ground at Position B. From Position A to B, the rollercoaster covers a distance of 430 m 430m. What is the change in gravitational potential energy (in Joules) of the rollercoaster from Position A to B?

Answers

To calculate the change in gravitational potential energy of the rollercoaster from Position A to B, we need to consider the difference in height between the two positions.

The change in gravitational potential energy (ΔPE) is given by the formula:

ΔPE = m * g * Δh

where m is the mass of the rollercoaster, g is the acceleration due to gravity, and Δh is the change in height.

Given:

m = 120 kg

g = 9.8 m/s² (approximate value)

To calculate Δh, we need to find the difference in height between Position A and B:

Δh = 15 m - 32 m = -17 m

Since the rollercoaster is dropping in height, the change in height is negative.

Now we can calculate the change in gravitational potential energy:

ΔPE = 120 kg * 9.8 m/s² * (-17 m)

Simplifying the calculation:

ΔPE = -19896 J (rounded to the nearest whole number)

The change in gravitational potential energy of the rollercoaster from Position A to B is approximately -19896 Joules.

Note: The negative sign indicates a decrease in gravitational potential energy, as the rollercoaster is descending to a lower height.

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What is the force that counteracts the thrust force for flight?

Answers

The force which counteracts the thrust force for the flight is known as the drag force, as it opposes the flow.

What is drag force?

Drag is a force that opposes an object's relative motion to a fluid environment in the field of fluid dynamics. It may be among two liquid film (or surfaces) or in between a liquid and a flat wall. The drag force is influenced by velocity, as opposed to other resistive forces like dry contact, which are essentially independent of it.

When a flow is moving at low or high speed, the drag force is equal to the speed for low pressure and to the square of the velocity for high-speed flow. Although viscous friction is what ultimately causes drag, turbulent drag is unaffected by viscosity.

A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.

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The drag force, which resists the flow, is the force that balances the propulsion force for flight.

What is Drag force?

In the study of fluid dynamics, drag is a force that opposes an object's relative motion to a fluid environment. It could be situated between two liquid surfaces (or films) or between a liquid and a flat wall.

Unlike other resistive forces like dry contact, which are largely independent of velocity, the drag force is affected by it.

For low pressure and high speed flows, respectively, the drag force is equal to the speed for low pressure and the square of the velocity. Although drag is ultimately caused by viscous friction, turbulent.

Thus, The drag force, which resists the flow, is the force that balances the propulsion force for flight.

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Conduction is greater in solids .explain in your own words Why?

Answers

Explanation:

because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other

A 100 kg cyclist travels at 4.5 m/s. A 50 kg gorilla is dropped straight down onto her. What is the new speed of the system?

Answers

Mass of cyclist = 100 kg

Mass of gorilla = 50 kg

Initial speed = 4.5 m/s

Let Final speed = s

100 x 4.5 = (100 + 50) x s

450 = 150s

S = 450/150

S = 3

The new speed is 3m/s

During a musculoskeletal exam, you find redness of the skin over a nontraumatized joint. Which of the following is LEAST likely to be the cause?
Dislocation
Gout
Arthritis
Rheumatic fever

Answers

Dislocation is LEAST likely to be the cause of redness of the skin over a nontraumatized joint.

During a musculoskeletal exam, if you find redness of the skin over a nontraumatized joint, the LEAST likely cause among the options provided is dislocation. Dislocations typically result from trauma or injury, and since the joint in question is nontraumatized, it is less likely to be the cause compared to gout, arthritis, or rheumatic fever, which can all present with joint redness and inflammation without a history of trauma.Arthritis is a condition that results in inflammation of the joints, while gout is a type of arthritis caused by the buildup of uric acid crystals in the joint.

So the correct answer would be dislocation as it is least likely to be the cause of redness of the skin over a nontraumatized joint.

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Answer it pls!!!!!!!!!!!

Answer it pls!!!!!!!!!!!

Answers

Answer:

Fractional error = 0.17

Percent error = 17%

F = 112 ± 19 N

Explanation:

Plug in the values to find the force:

F = (3.5 kg) (20 m/s)² / (12.5 m) = 112 N

Find the fractional error:

ΔF/F = Δm/m + 2Δv/v + Δr/r

ΔF/F = 0.1/3.5 + 2(1/20) + 0.5/12.5

ΔF/F = 0.17

Multiply by 100% to find the percent error:

ΔF/F × 100% = 17%

Solve for the absolute error:

ΔF = 0.17 × 112 N = 19 N

Therefore, the force is:

F = 112 ± 19 N

A resistor and an initially uncharged capacitor are connected in series with battery. A long time after the circuit is connected , which of the following is true? O The voltage across the resistor is at its maximum: O The voltage across the capacitor is at its minimum: O The charge on the capacitor is at its minimum. O The current in the circuit is at its maximum; O The current in the circuit is Zero.

Answers

The current in the circuit is Zero is true

Define current

An electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. negative to positive points are crossed by current.

The maximum voltage across the resistor is the first choice. This choice is incorrect because, after a considerable amount of time, the capacity is fully charged and the circuit's current "I" will be equal to zero. Moreover, because current is 0 It will now be equal to zero for the voltage courses resistive "IR."

The next option claims that the voltage across the capacitor is at its lowest. Additionally, this is incorrect because charge across a capacitor reaches its maximum over time. In addition to being maximum, voltage will be maximum and equivalent to charge upon capabilities.

No The capacitor is only partially charged, according to the next option. This is incorrect since it takes a while for the charge to reach its maximum level before the maximum current is claimed. . Which is also incorrect because once the capacitor is fully charged, current eventually zeroes out.

Since the capacitor's charge did not change at all after it reached full charge, the fact that the circuit's current is zero is accurate. Because the charge has achieved its maximum value, the rate of change of charge will be zero, and the current will also be zero.

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Calculator
What is the value of x?
Enter your answer in the box.
Х
24
x =
7
2
3
4 5 6 7 8
9

CalculatorWhat is the value of x?Enter your answer in the box.24x =7234 5 6 7 89

Answers

Answer:

25

Explanation:

By Using Pythagoras Theorem,

h^2=p^2+b^2

or, x^2=(24)^2+7^2

or, x^2=576+49

or, x^2=625

or, x=√625

•°• x=25

The value of x in this figure is 25.

What is Pythagorean theorem ?

Pythagorean theorem is applicable to only right angle tringle. it is defined as square of the hypotonias is equal to the square of sum of base and height.

i.e. hypotonias² = base² + height².

In this figure given values are,

Base = 7

Height = 24

hypotonias x = ?

according to Pythagorean theorem,

hypotonias² = base² + height²

hypotonias² = 7² + 24²

hypotonias² = 625

hypotonias = 25

Hence the value of x is 25.

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What represents an Exothermic Reaction?

Answers

Answer: An exothermic reaction is a chemical reaction in which less energy is needed to break bonds in the reactants than is released when new bonds form in the products. During an exothermic reaction, energy is constantly given off, often in the form of heat.

Explanation: An exothermic reaction is a chemical reaction in which less energy is needed to break bonds in the reactants than is released when new bonds form in the products. During an exothermic reaction, energy is constantly given off, often in the form of heat.

Hope this helps^^

Assuming the earth is a uniform sphere of mass M and radius R, show that the acceleration of free fall at the earth's surface is given by g=GM/R^2​

Answers

use Newton's gravitational law and 2nd law .....

Assuming the earth is a uniform sphere of mass M and radius R, show that the acceleration of free fall

a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?

Answers

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure

Help me on the question below please​

Help me on the question below please

Answers

Answer:

C. tiny particles called charges flowing through the wires.

Explanation:

Hello!

An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.

Hope it helps!

Answer:

c

Explanation:

electric current is tiny particles called charges flowing through the wires
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A 6.8 kg cannon ball leaves a canon with a speed of 188 m/s. Find the average net force applied to the ball if the cannon muzzle is 4.2 m long.


i want the answer with the steps ​

Answers

Answer:

 its not long dummy, its your imagination

Explanation:

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The solubility product Ksp for HgS is 3.0x10-53 Calculate the solubility of HgS in water in miles per liter and transform answer into number of mercuric ions per liter According to this calculation what volume of water in equilibrium with solid HgS contains a single Hg2+ ion? (5.3x10^7) - (1.1x10^4)Scientific Notation please, thank you! According to psychologists if a work of art has lots of horizontal lines, the art can be said to be Which expression is equivalent to 3/32x8y10 What Germanic tribes from Denmark and northern Germany settled in Britain after the departure of the Romans in the 5th century. according to the monocentric city model, which of these statements about the total expenditure on housing (pq) holds true? (a) pq is greatest farther from the city center. (b) pq is greatest closer to the city center. (c) it is not clear where pq greatest in relation to distance (x) from the city-center. (d) pq stays equal at all locations (x) across the city to provide a compensating differential. if a patient refuses treatment and an emt treats the patient anyway, what crime can the emt be charged with? medical malpractice battery slander kidnapping the nurse observes a prominent u wave on the client's ecg tracing. what is the nurse's interpretation of this finding? But make it seven days and squint slightly. what is velocity vs time. i need help with my test on edge What are the solutions of the quadratic equation ? x ^ 2 + 10x = - 21 Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32. Specify which kitchen knife this is called and purposes. what was the primary purpose of the silk road? a. to spread christianity throughout the region b. to spread democracy throughout the region c. to engage in trade with other nations d. to spread customs throughout the area Which detail best supports Sojourner Truths claim that women deserve the same rights as men? A bacteria is tripling every 10 days. If there is a 4 bacteria in a sample, how long with it take to reach 1 million bacteria? Ejercicio 5. En el ao 1985 fue puesto en rbita el primer satlite de Mxico, el Morelos 1. Dicho satlite orbitaba la Tierra a una altura de 35 800 km (35.8 x10^6 m).a) Obtenga el radio de la rbita del satlite (r = R +h)b) Calcule la velocidad del Morelos 1c) Obtenga el periodo de rotacin en horasd) Cul es el valor de la intensidad del campo gravitacional en la rbita del Morelos 1? Which of the following is NOT a place of articulation of English (select all that apply)? a.uvula b.velum c.glottis d.alveolar ridge e.pharynx What happens in chapter 28 of Huck Finn? The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal areas. Find the length of the segment cut from the line by the two other sides of the triangle