A certain superconducting magnet in the form of a solenoid of length 0.500m can generate a magnetic field of 9.00T in its core when its coils carry a current of 75.0A . Find the number of turns in the solenoid.

Answers

Answer 1

The number of turns in the solenoid is [tex]4.78\times 10^4 \ turns[/tex].

Solenoids are essentially coils of cord. These generate a magnetic subject which strives a pressure over a steel element.A solenoid is a fundamental time period for a coil of cord that we use as an electromagnet.We additionally consult with the tool which could convert electric power into mechanical power as a solenoid.Actually it generates a magnetic subject for developing linear movement from the electrical cutting-edge. With using a magnetic subject.Magnetic field at the centre of a solenoid of length 'L' having 'N' number of turns with a current 'I' is given by   [tex]B=\frac{u_0NI}{L}[/tex]   ...(1)  where [tex]u_0[/tex] is the permittivity of free space whose value is [tex]4\pi \times10^{-7}Tm/A[/tex]  .

It is given that superconducting magnet in the form of a solenoid of length 0.500m can generate a magnetic field of 9.00T in its core when its coils carry a current of 75.0A .

Putting above values in equation (1) , we get

[tex]9.00=\frac{4\pi \times10^{-7}\times N \times75.0}{0.500} \\\\N=\frac{9.00\times0.500}{4\pi \times10^{-7}\times75.0} \\\\N=4.78\times10^4 \ turns[/tex]

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Related Questions

a car accelerates from rest to 90 kilometre per hour in 10 seconds what is its acceleration in metre per second squared​

Answers

Answer:2.5 m/s2

Explanation:

Acceleration =v2-v1 ÷ t2-t1 convert 90 km/h to m/s = 90×5/18 = 25 m/s , 25÷10 = 2.5

Explain how a musical instrument such as a piano may be tuned by using the phenomenon of beats.

Answers

Hence , musical instrument such as a piano may be tuned by using the phenomenon of beats.

Suppose 2 sound waves of various frequencies reach your ear. the 2 waves can interfere with one another leading to constructive and damaging interference. This may lead to the sound being instead soft and loud, that we have a tendency to decision beats. The beat frequency is that the distinction between the frequency of the 2 sound waves.

A musician typically uses the development of beat frequency to tune their piano. They pluck one string of the piano and faucet a implement at the same time. If the 2 sound sources turn out completely different beats, their frequencies will not be identical, and that they are aforementioned to be out of tune. The musician can modify the string's tension and repeatedly repeat the above mentioned method till the beats cannot be distinguished, that means the frequencies are identical. they're aforementioned to be in tune.

This methodology can work a lot of expeditiously for associate degree instrument entirely out of tune as a result of it'll be easier to differentiate the beats of the instruments and also the implement.

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If the total charge inside a closed surface is known but. the distribution of the charge is unspecified, can you use Gauss's law to find the electric field? Explain.

Answers

No, Gauss’s law of charge distribution in electric field only applies to specified charge distribution. Hence, it cannot be used to find the electric field if the total charge inside a closed surface is known but. the distribution of the charge is unspecified

The electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field. Another interpretation of Gauss' rule holds that the net flow of an electric field across a particular surface divided by the contained charge should equal a constant. Gauss' law is only applicable to continuous charge distribution. In such instance, we may calculate the total electric field across the surface. However, we cannot use Gauss' law to calculate the electric field of charge with an uncertain distribution.

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A forklift was used to lift a 750 kg. oil drum 18 m straight up into the air to store on a shelf. If it does it in 28 seconds, Calculate the work and power exerted by the forklift.
W= J

P= watts

Answers

Explanation:

Given parameters:

Mass of forklift  = 750kg

Height of lift  = 18m

Time taken  = 28s

Unknown:

Work done = ?

Power = ?

Solution;

 The work done by the forklift is given as:

  Work done = mass x acceleration due to gravity x height

   Work done  = 750 x 9.8 x 18  = 132300J

Power is the rate at which work is done;

      Power  = [tex]\frac{work done }{time}[/tex]  

 Insert the parameters and solve;

    Power  = [tex]\frac{132300}{28}[/tex]  = 4725W

HELPPP!!! During a soccer game, a player kicks the winning goal. When is work being done by the player?

A) when the ball flies through the air

B) when the player moves toward the ball

C) when the player’s foot is in contact with the ball

D) when the player’s foot continues to move after touching the ball

Answers

Answer:

when the player’s foot is in contact with the ball

Explanation:

Which form of heat transfer transfers both matter(particles) and energy?
Conduction
Convection
Radiation
None of these

Answers

the answer is conduction, it transfers kinetic energy

A 0.50-kilogram frog is at rest on a rock next to a pond. The frog leaps pushing off of the rock with an acceleration of 5.0 m/s2. What is the magnitude of the net force exerted on the frog as it leaps? a)2.5 N b)1.5 N c)1.0 N d)2.0 N

Answers

Given that,

Mass of a frog, m = 0.5 kg

The frog leaps pushing off of the rock with an acceleration of 5.0 m/s².

To find,

The magnitude of the net force exerted on the frog as it leaps.

Solution,

Let the net force exerted on the frog is given by the formula as follows :

F = ma

Putting the values of m and a to find F as follows :

F = 0.5 kg × 5 m/s²

F = 2.5 N

So, the magnitude of net force is 2.5 N.

The magnitude of the net force exerted on the frog as it leaps is 2.5 Newtons.

Hence, Option a) 2.5N is the correct answer.

Given the data in the question;

Mass of frog; [tex]m = 0.5kg[/tex]Acceleration; [tex]a = 5.0m/s^2[/tex]

Force Exerted; [tex]F = ?[/tex]

To determine the magnitude of the net force exerted on the frog as it leaps, we the expression from the Newton's Second law of motion:

[tex]F = m * a[/tex]

Where m is mass and a is acceleration

We substitute our given values into the equation

[tex]F = 0.5kg * 5.0m/s^2\\\\F = 2.5kgm/s^2\\\\F= 2.5N[/tex]

The magnitude of the net force exerted on the frog as it leaps is 2.5 Newtons.

Hence, Option a) 2.5N is the correct answer.  

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A football goalkeeper moves across her goal in a straight line. Her motion is shown on the following graph of horizontal position xxx vs. time ttt. Graph of x (in meters) vs. t (in seconds). The y-intercept is at (0,0), then x increases linearly from 0 m to 2 m over 4 s, stays constant at 2 m from 4 to 8 seconds, and then decreases linearly from 2m to 0 m between 8 s and 12 s. Graph of x (in meters) vs. t (in seconds). The y-intercept is at (0,0), then x increases linearly from 0 m to 2 m over 4 s, stays constant at 2 m from 4 to 8 seconds, and then decreases linearly from 2m to 0 m between 8 s and 12 s. What is the average speed of the goalkeeper between the times t=4\text{ s}t=4 st, equals, 4, start text, space, s, end text and t=12\text{ s}t=12 st, equals, 12, start text, space, s, end text? Choose 1 answer: Choose 1 answer: (Choice A) A -0.25\,\dfrac{\text m}{\text s}−0.25 s m ​ minus, 0, point, 25, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice B) B 0.50\,\dfrac{\text m}{\text s}0.50 s m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice C) C -0.50\,\dfrac{\text m}{\text s}−0.50 s m ​ minus, 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice D) D 0.25\,\dfrac{\text m}{\text s}0.25 s m ​

Answers

Answer:

0.25 m/s

Explanation:

Acceleration cannot be negative.

A girl throws a ball vertically upwards. It takes a time of 3.20 s to return to her hand.
Assume air resistance is negligible.
What is the initial speed with which the ball is thrown?​

Answers

Answer: 15.68ms

Explanation:

From the question, we are informed that it takes a time of 3.20s for the ball to return to her hand.

Then, the time thst will be taken by the ball to reach maximum height will be 1.6s

Let the initial speed be represented by v.

Therefore,

Vf = v - gt

where,

g = 9.8

t = 1.6

Vf = v - gt

0 = v - (9.8 × 1.6)

0 = v - 15.68

v = 15.68ms

=v−gt

⟹0=v−9.8×1.6

⟹v=15.68ms

A plane flew for 2 hours at 467 mph and 5 hours at 536 mph how far did the plane fly in miles?

Answers

Answer:

3614

Explanation:

A Smart Car, which has a mass of 1000 kg, is going 20 m/s. When it hits the barrier, it stops at a time of 0.5 seconds. What is the force on the car?

Answers

Answer:

The force = F =  -40000 N

Explanation:

Mass m = 1000 kg speed v₁ = 20 m/s speed v₂ = 0 m/s t = 0.5

We know that,

Calculating the acceleration

using the formula

a = (v₂ - v₁) / t

   = 0 - 20 / 0.5

  = -20 / 0.5

   = -40 ms⁻²

Thus, acceleration (deceleration) = a = -40 ms⁻²    

Note: negative sign gives us an idea the car is slowing down after a collision with the barrier, thus acceleration and velocity are in opposite direction.

We know that

F = ma

   = 1000 × -40

   = -40000 N

Thus, the force = F = -40000 N

QC Two waves simultaneously present on a long string have a phase difference π between them so that a standing wave formed from their combination is described by
y(x,t) = 2Asin( kx + π/2 ) cos( ωt - π/2) (a) Despite the presence of the phase angle π, is it still true that the nodes are one-half wavelength apart? Explain.

Answers

The equation of motion of the standing wave, y(x, t) = 2•A•sin(k•x + π/2)•cos(w•t - π/2), indicates that it is still true that the nodes are one half the wavelength apart

Therefore;

It is still true that the nodes are one half the wavelength apart

What are the nature of standing wave?

The equation describing the standing wave formed by the two waves is y(x, t) = 2•A•sin(k•x + π/2)•cos(w•t - π/2)

A standing wave is formed when two waves that have equal amplitude and frequency and moving in opposite directions, are combined.

A standing wave can be formed by a wave and its reflection, resulting in a wave where there is no propagation of particles beyond the vibration region.

The fundamental frequency of a standing wave consists of two nodes and an antinode.

The wavelength is the distance between two peaks of one wave, such that two nodes are formed within the span of a wavelength, which makes the distance between nodes being half the wavelength of the wave.

Therefore;

It is still true that the nodes are one half the wavelength apart.

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ANSWER THIS FOR BRAINY CROWN B) ITS SO EASY!

Answers

Answer:

300

Explanation:

So, if there’s two collide Non-sticky collision. And there’s 600 KG.M/S for 2 cars they we know that the unit rate is 300/KG.M/S for 1 car.

What change would occur if Earth's rate of rotation significantly increased?

a. The day would be longer.
b. The day would be shorter.
c. The year would be longer.
d. The year would be shorter.

Answers

Answer:the answer is B The day would be Shorter .

Explanation:its correct I got it right hope this help .

The change that would occur if Earth's rate of rotation significantly increased is that the day would be shorter. The correct option is b.

What is Earth's rotation?

The rotation or spin of the Earth is the rotation of the planet Earth around its own axis, as well as changes in the orientation of the rotation axis in space. Earth rotates counterclockwise as seen from the northern polar star Polaris.

Earth rotates because the sun attracts the earth and thus pulls it towards it, and because the earth's revolution around the sun causes it to move away from the sun in the direction of the tangent, causing a rotational force (torque) to act on the earth, causing it to rotate.

The Earth rotates once every 24 hours in relation to the Sun, but once every 23 hours, 56 minutes, and 4 seconds in relation to other distant stars. Because the Earth's rotation slows slightly over time, a day used to be shorter.

Thus, the correct option is b.

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Two short people are trying to get a 50 kg box moving across the floor. One is quite tall, and the other is quite short, so they can't use the same rope. The shorter person pulls on the rope so it is exactly horizontal to the floor, and uses a force of 170N. The taller person has to hold their rope at a 45 degree angle to the horizontal, and pulls with a force of 200N. What is the acceleration assuming the coefficient of friction is 0.3.

Answers

Ürríœæhkłñ. Çdßtâę. Ëmdæę

A box moves 5m horizontally when force F=10N is applied at an angle 0=30°.
What is the work done?
please help and show your work if you can

Answers

Answer:

43.3J

Explanation:

Given parameters:

Force  = 10N

Distance  = 5m

Angle  = 30°

Unknown:

Work done  = ?

Solution:

Work done is the force applied to move a body through a particular distance;

 Work done  = Force x distance cos Ф

Now insert the parameters and solve;

     Work done  = 10  x 5 cos 30 = 43.3J

Question 17 (2 points)
A delivery man is told to go 60 miles per hour north to make his delivery on time. These instructions describe the delivery man's (2 points)
a
speed
velocity
ОБ
OC
Od magnitude
acceleration

Answers

The correct answer is velocity.

The vector measure of level and direction of motion is known as velocity. The speed at which an object goes in one direction is known as its velocity. Speed may be used to calculate both the speed of the car traveling north on the major highway and the speed of the rocket bursting in space. As you may expect, the vector velocity's scalar size (total value) corresponds to the movement's speed. Speed is the initial exit of a place in terms of time when it comes to computations. A straightforward formula that incorporates measurement, distance, and time can be used to determine speed.

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A representation of a chemical reaction that uses symbols to show the relationship between the reactants and the products is called a __________. a. symbolic statement b. chemical equation c. mole ratio d. chemical proportion

Answers

Answer:

B. chemical equation.

Explanation:

This explained to be a short method of representing different symbols and structures that are seen to make up a chemical reaction. It is known to have been formulated by a French chemist Jean Beguin. In a course of writing a chemical reaction, its reaction is seen to show a starting compound which is been written on the left hand side of the said equation while the product is written by the right hand side and are separated in different directions by an arrow. When this is done, charges on this equation that is balanced is also written on each side of the equation.

julie drives 100 mimi to grandmother's house. on the way to grandmother's, julie drives half the distance at 34.0 mphmph and half the distance at 66.0 mphmph . on her return trip, she drives half the time at 34.0 mphmph and half the time at 66.0 mphmph .

Answers

The average speed is r=50 mph

What is speed?

Teenagers, young adults, and others use the stimulant medication known as "speed" to feel more focused and alert, and occasionally to get euphoric. Several types of speed are also used by some people to suppress their appetite. Different speed types include: Amphetamines (used to treat ADHD, narcolepsy, and depression)

In essence, an object's speed indicates how quickly it is moving. Its velocity reveals how quickly it is moving in a specific direction. In your daily life, you utilize speed measures, but in physics, velocity measurements are more frequently used.

distance=rate*time

total distance=rate*total time

to Grandmother's...

50=34*t

50/34=t

t=25/17 hours for the first 50 miles

50=66*t

50/66=t

t=25/33 hours for the second 50 miles

total distance=50+50=100 miles

total time=25/17+25/33

total time=(825/561)+(425/561)=1250/561 hours

total distance=rate*total time

100=r*(1250/561)

r=(100)(561/1250)

r=56,100/1250

r=5610/125

r=1122/25

r=44.88 mph is the average speed (rounded it is 44.9 mph)

Note: If you are familiar with the simplified form of the harmonic mean you can solve the problem that way. If not, that's okay. You can look it up if you like.

(2*34*66)/(34+66)=4488/100=44.88 again

from Grandmother's house...

because the times are the same you simply add the 2 rates and divide by 2

(34+66)/2=100/2=50 mph is the average speed

d=r*t

100=34*t+66*t (the times are the same, t)

100=100*t

t=1 hour traveling at 34 mph and 1 hour traveling at 66 mph for a total of 2 hours traveling

d=r*t

100=r*2

r=100/2

r=50 mph is the average speed

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When two mechanical waves interact and their crests line up, they create constructive interference. True or False?

Answers

The correct answer is going to be true for this question

in a slap shot, a hockey player accelerates the puck from a velocity of 5 m/s to 30 m/s in the same direction. if the puck moves over a distance of 10 m during this process, what was the acceleration? group of answer choices

Answers

The acceleration of the puck is 43.75 m/s².

The velocity of an object or particle in uniform motion is defined as the rate at which its direction is changing as seen from a particular angle and as measured by a particular unit of time.

The player's puck accelerates from a velocity of 5 m/s to 30 m/s in the same direction.

The player's puck covers a distance of 10 m during that process.

Therefore,

The initial velocity of the puck is u = 5 m/s

The final velocity of the puck is v = 30 m/s

The distance covered during the period is s = 10 m

Using the equation of motion,

v² - u² = 2as

(30)² - (5)² = 2 × a × 10

900 - 25 = 20 × a

875 = 20 × a

a = 875/20

a = 43.75 m/s²

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draw the schematic of a circuit where there are now two capacitors in parallel with each other, and in series with the battery, switch, and resistor.

Answers

This is the schematic of a circuit where there are two capacitors in parallel with each other, and in series with the battery, switch, and resistor.

What is resistor?

A resistor is a two-terminal electrical component that produces electrical resistance in circuits. In electrical circuits, resistors can limit current flow, regulate signal levels, divide voltages, bias active components, and terminate transmission lines, among other functions. High-power resistors can be used as test loads for motor controllers, power distribution systems, and generators because they can produce many watts of heat instead of electrical energy. Only sporadically can variations in operating voltage, period of operation, or temperature affect the resistance of fixed resistors. Variable resistors can be used as humidity sensors, chemical activity sensors, force sensors, heat sensors, light sensors, volume controls, lamp dimmers, and light sensors. Resistors are frequently used in both electrical networks and technological gadgets.

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Pls do these for me asap

Answers

Answer:

Look below!

Explanation:

1) Observation

2) Hypothesis

3) Results

4) Experiment

5) Problem

6) Conclusion

7) Inference

observation 1
hypothesis 4
results 6
experiment 5
problem 2
conclusion 7
inference3

A runner exerts a force of 234 Newtons against the ground while using 1100 Watts of power. How long does it take them to run a distance of 30.0 m?

Answers

Answer:

30 seconds

Explanation:

M A particle with positive charge q = 3.20 ×10⁻¹⁹C moves with a velocity →v = (2i + 3j - k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (b) What angle does the force vector make with the positive x axis?

Answers

The Magnitude of force on the charged particle is -

F = (12.8 x 10⁻¹⁹C)i - (3.2 x 10⁻¹⁹C)j - (6.4 x 10⁻¹⁹C)k

We have a positively charged particle that moves through a region where both a uniform magnetic field and a uniform electric field exist.

What is Lorentz Force?

The force exerted on a charged particle (q) moving with velocity (v) through an Electric field (E) and Magnetic field (B) is called Lorentz force.

Mathematically -

|F| = qE + qv x B

According to the question, we have -

q = 3.20 × 10⁻¹⁹C

v = (2i + 3j - k) m/s

B = (2i + 4j + k) T

E = (4i - j - 2k) V

Now, using the formula to calculate Lorentz force -

F = q(4i - j - 2k) + q(2i + 3j - k) x (2i + 4j + k)

F = q(4i - j - 2k) + (2qi + 3qj - qk) x ((2i + 4j + k)

F = q(4i - j - 2k) + 0

F = q(4i - j - 2k)

F = (12.8 x 10⁻¹⁹C)i - (3.2 x 10⁻¹⁹C)j - (6.4 x 10⁻¹⁹C)k

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What is the name of the process that plants use to remove carbon dioxide from the atmosphere?
transpiration
photosynthesis
respiration
decomposition

Answers

Answer:

Photosynthesis

Explanation:

It removes carbon naturally.

Answer:

photosynthesis

Explanation:

A flywheel has a radius of 20. 0cm.What is the speed of a point on the edge of
the flywheel if it experiences a centripetal acceleration of 900.0cm/s 2 ?

Answers

Given that,

The radius of a flywheel, r = 20 cm = 0.2 m

The centripetal acceleration experienced on the edge of the flywheel = 900 cm/s² = 9 m/s²

To find,

The speed of a point on the edge.

Solution,

The formula for the centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{9\times 0.2} \\\\=1.34\ m/s[/tex]

Hence, the required speed is 1.34 m/s

The speed of a point on the edge of  the flywheel is 134.16cm/s

The formula for calculating the centripetal acceleration of the flywheel is expressed as:

[tex]a=\frac{v^2}{r}[/tex]

where;

v is the speed of the flywheel

r is the radius of the wheel

Given the following parameters

r = 20.0cm

a = 900cm/s²

Substituting the given parameters into the formula above;

[tex]900=\frac{v^2}{20}\\v^2=900\times 20\\v^2=18,000\\v=\sqrt{18,000}\\v= 134.16cm/s[/tex]

Hence the speed of a point on the edge of  the flywheel is 134.16cm/s

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Two parallel wires separated by 4.00cm repel each other with a force per unit length of 2.00×10⁻⁴ N/m . The current in one wire is 5.00 A. (c) What would happen if the direction of one current were reversed and doubled?

Answers

When the direction of one current is reversed and doubled, the force will be doubled.

The force between two parallel currents I₁ and I₂ that are spaced apart by r is measured as the ratio F/L. If the currents are flowing in the same direction, the force is attracting; if not, it is repulsive.

With a distance of 4.00 cm between them, two parallel wires repel one another with a force of 2.00 × 10⁻⁴ N/m. One wire is carrying 5.00 A of current.

I₁ = 5 A

d = 4 cm

F = 2 × 10⁻⁴ N/m

We have, [tex]\frac{F}{L}=\frac{\mu_{0} I_{1}I_{2}}{L}[/tex]

Now, we know the force is directly proportional to the product of the current, and the direction of one current is reversed and doubled.

The force of interaction would become attractive and its magnitude would double as a result of switching the directions of either of the currents and doubling their size.

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What part of an experiment contains the data tables and graphs
?

Answers

Answer:    Review your data. ...

   Calculate an average for the different trials of your experiment, if appropriate.

   Make sure to clearly label all tables and graphs. ...

   Place your independent variable on the x-axis of your graph and the dependent variable on the y-axis.

Hope this helps!!

fluid flow: a pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes a fluid through a pipe. what is the speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter? treat the fluid as ideal and incompressible.

Answers

As per the question, a pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes fluid through a pipe. The speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter is 5000cm/sec.

The volumetric flow rate refers back to the three-dimensional area occupied by using fluid flowing thru a move section according to time. it's far the ratio of the change within the volume of a flowing fluid to the alternate in time.

According to the question, the volumetric flow rate in the pump and the pipe is the same.

Q = AV

Q = Volumetric flow rate

A = Cross-sectional area

V = Velocity

Q ( pump ) = ( π * 15^2 ) / 4 * 2 = 353.43 cm^3/sec

Q ( pipe ) =  ( π * ( 3/10 )^2 ) / 4 * V = 0.071V

Q ( pump ) = Q ( pipe )

Therefore  0.071V = 353.43

Velocity (V) = 5000 cm/sec

Therefore the speed of the fluid when it enters the pipe is 5000 cm/sec.

Velocity is the directional pace of an object in movement as a demonstration of its rate of change in function as determined from a specific body of reference and as measured by way of a selected standard of time.

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a client is prescribed alprazolam. which action must the nurse include in the client assessment during the initiation of therapy? quizlet Simulated gravity in a man-made space station occurs because of _______. Use the distributive property to write an expression that is equivalent to:3(x + 5) Because by separate secession the state relinquishes all its rights within the government; it surrenders its equal rights to the common territories, to the vast public domain of the United States and the public property of every kind belonging to the nation. And for this reason I oppose secession as being emphatically submission.A Protest against the Ordinance of Secession,James G. TaliaferroWhy does Taliaferro equate secession with submission? Louisiana would lose its public domain lands to the United States. Louisiana would be forced to surrender its property rights to the United States. Louisiana would appear weak to the United States. Louisiana would lose rights in government and rights to US public property. True or false: A musical picece does not have to be long to be successful A 1000 kg car moves with a constant speed 20.0 m/saround a flat circular track of radius 30.0 m. What is thecentripetal acceleration of the car? What characteristics define bacteria? Use the graph of the function to find its domain and range. Write the domain and range in interval notation. Will mark brainliest I need this ASAP!!calculate the rate of change on this graph plssss helppp ASAPPBRAINLIEST What did Li Zhensheng mean when he said, During the Cultural Revolution, no one dared tell the truth. Provide examples from the text. Whoever helps gets BRAINLIEST are u a glass half full or half empty? other answers welcome. -3/4x + 5 = -4 What is the value of x? which phrase is the definition of the word fortuitous?when she suddenly remembered her science test, astrid realized that her coach's decision to cancel the soccer game had been a fortuitous one for her after all. a lesser priority a lesser priority an ongoing challenge an ongoing challenge an advantageous outcome an advantageous outcome a confusing dilemma An airplane is flying at a constant speed of 500 mph at a bearing of 45 north of west. A 40 mph wind is blowing due south. What are the plane's actual speed and direction? Draw a diagram and show your work to justify your answer. Round the speed to the nearest tenth and the direction to the nearest degree. (5 points) just read the picture and thats the question State the angle bisector theorem. which term is used to describe the deficiency in circulating platelets? group of answer choices anemia leukopenia leukocytosis thrombocytopeniawhich term is used to describe the deficiency in circulating platelets? group of answer choices anemia leukopenia leukocytosis thrombocytopenia