Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.20-mm-diameter superconducting wire.

Required:
What current is needed?

Answers

Answer 1

Answer:

The current needed is 2625.72 A.

Explanation:

Given;

magnetic field strength, B = 1.5 T

length of the solenoid, L = 1.8 m

diameter of the solenoid, d = 75 cm

The number of turns is given by;

[tex]N = \frac{Length \ of solenoid }{diameter \ of wire}\\\\N = \frac{1.8}{2.2*10^{-3}} = 818.18 \ turns[/tex]

The magnetic field is given by;

[tex]B = \frac{\mu_o NI}{l}[/tex]

where;

I is the current needed

[tex]I = \frac{Bl}{\mu_o N} \\\\I = \frac{(1.5)(1.8)}{(4\pi*10^{-7})(818.18)} \\\\I = 2625.72 \ A[/tex]

Therefore, the current needed is 2625.72 A.


Related Questions

An airplane with a mass of 5,000 kg needs to accelerate 5 m/s2 to take off before it reaches the end of the runway. How much force is needed from the engine

Answers

Answer:

25000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 5000 × 5

We have the final answer as

25000 N

Hope this helps you

A red blood cell contains 4.8 107 free electrons. What is the total charge of these electrons in the red blood cell?

Answers

Answer:

Charge, [tex]q=7.68\times 10^{-12}\ C[/tex]

Explanation:

It is given that,

The number of electron in a RBCs, [tex]n=4.8\times 10^7[/tex]

We need to find the total charge of these electrons in the red blood cell. Let it is q. Using the quantization of charge as follows :

q = ne

e is the change on electron

[tex]q=4.8\times 10^7\times 1.6\times 10^{-19}\\\\q=7.68\times 10^{-12}\ C[/tex]

So, the net charge is [tex]7.68\times 10^{-12}\ C[/tex].

During a football workout, two linemen are pushing the coach on the sled. The
combined mass of the sled and the coach is 300 kg. The coefficient of friction between
the sled and the grass is 0.800. The sled accelerates at the rate of 0.580 m/s^2.
Determine the force applied to the sled by the lineman.

Answers

Answer:

F_{players} = 2528.4[N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body must be equal to the product of mass by acceleration.

On the sled act two forces, the force of friction and The Force executed by the football players.

The movement of the football players will be taken as positive, while the friction will be taken as negative, since it is opposed to the movement of the sled.

ΣF = m*a

where:

F = force [N]

m = mass [kg]

a = acceleration = 0.580 [m/s²]

[tex]F_{players} - f_{friction} = m*a[/tex]

The friction force is defected as the coefficient of friction by the normal force, the normal force on a horizontal surface can be calculated as the product of mass by gravitational acceleration.

[tex]f_{friction}=0.8*(300*9.81)\\f_{friction}=2354.4[N][/tex]

Now we can calculate the force exerted by the players.

[tex]F_{players}-2354.5=300*0.580\\F_{players}=2528.4[N][/tex]

Try to move the magnet back and forth between the two coils. Explain the motion of the magnet and what might be causing this.

Answers

Answer:

Please find the answer in the explanation.

Explanation:

When you try to move the magnet back and forth between the two coils, the motion of the magnet will be oscillatory and this action will cause current and EMF to induce

According to law of Faraday, current or EMF will be induced when a magnet is moved in the presence of coils

If the magnet continues to move back and forth between the two coils, what might be causing this will be the presence of the induced electromagnetic force between the two coils.

A cannonball is fired straight up at a speed of 25 m/s. What is the maximum altitude that it will reach?

Answers

Answer:

When the projectile is launched straight up, there isn't a horizontal ... The initial acceleration was 9.8 m/s2 pointing up, so the acceleration at any other point should be the same.

Explanation:

Hope it helped =)

The maximum altitude that the cannonball will reach if fired straight up at a speed of 25 m/s is; 31.86 m

According to the question;

The cannonball is fired straight up at a speed of 25 m/s

Additionally, the cannonball is fired against the force of gravity.

Consequently, the motion is in the opposite direction of the acceleration due to gravity.

From the equation of motion;

V² = U² - 2gH

At the maximum altitude, V = 0.

0² = 25² - (2× 9.81) H

19.62H = 625

H = 625/19.62

H = 31.86m

The maximum altitude that it will reach is;

H = 31.86m

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A 25 kg child is sitting at the top of a 4 m tall slide, what is his potential energy?

Answers

100
U have to multiply
25x4

Why do I feel so sad? I'm not sure if its depression, because i will be fine not happy, but fine all day than randomly in the day I will start to feel sad. I've tried to take my life twice before the past few monthes

Answers

You are most likely going through depression. I think you should talk to someone, it could help or try talking to one of us on brainly. I hope you feel better eventually. Your life is valuable try and realize that.

Answer:

You don't need a reason to be sad. It sound as though you are suffering from depression. I understand that. Last year I thought about taking my life, but my parents found out how I was feeling and have been so supportive. Something My mom said that really got to me was, if you killed yourself, who would find you. For me it would have been my little sister. I would have scared her for life. I have come a long way since then, I am doing family therapy, as well as persona, therapy. If you are feeling sad, there is a hotline you can text rather than call. Let them talk you out of it. They won't call anyone if you don't ask them to. Talking to a complete stranger helps, they don't know anything about you so they can't judge you. Also try listening to music, find an artist that you can relate to. For me I like listening to NF when I am feeling down. It helps.

What is the mass, in kg, of a 136 pound gymnast on Earth?

Answers

Answer:

61.6886 kg

Explanation:

Answer:

61 kg

Explanation:

there ya go hope this was useful

The difference between a law and a theory is the diffrence between what and why . Explain

Answers

Answer:

A law is defined as a description or a statement given after an observed phenomenon. A theory is a simplification of certain observational data as to how and why it happened.

Explanation:

I hope this helped solve your question.

If the sound source is moving then the pitch of the sound will ___________________ to the observer.

Answers

Answer:

Increase

Explanation:

The frequency of sound determines the sound. If the frequency is lower the pitch will be lower. If the frequency is higher the pitch will be higher. This is affected by the motion of the sound source because when a sound source is moving faster the frequency will become higher.

A cannonball is launched diagonally with an initial horizontal speed of 51.0m/s
and an initial vertical speed of 24.0m/s. Label the hypotenuse, opposite side and
adjacent side, and determine all unknowns.
m/s
initial speed:
initial horizontal speed:
initial vertical speed:
m/s
m/s
At what angle () was the cannonball launched?

Answers

• initial horizontal speed: 51.0 m/s

• initial vertical speed: 24.0 m/s

• initial speed: √((51.0 m/s)² + (24.0 m/s)²) ≈ 56.4 m/s

• angle: tan(θ) = (24.0 m/s) / (51.0 m/s)   →   θ ≈ 25.2º

Using Pythagoras, the initial speed and the launch angle of the cannon ball are 56.36 m/s and 25.20° respectively.

The initial speed can be obtained using length of the diagonal :

v² = 51² + 24²

v² = 2025

v = √3177

v = 56.36 m/s

The launch angle, θ :

Tanθ = opposite / Adjacent

θ = tan¯¹(24/51)

θ = tan¯¹(0.4705)

θ = 25.20°

Hence, the angle of launch is 25.20°

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The towel has better blank
than that towel.
A.duplication
B.formation
C.qualification
D.absorption

Answers

Answer:

D

Explanation:

Towels Absorb

what is the difference of dispersed phase and continuous phase?​

Answers

Answer:

The phase existing as small droplets is called the dispersed phase and the surrounding liquid is known as the continuous phase. Emulsions are commonly classified as oil-in-water (O/W) or water-in-oil (W/O) depending on whether the continuous phase is water or oil.

Explanation:

What is the relationship between lightning and atoms?

A. Electrons colliding in the air create lightning
B. The nucleus of atoms colliding creates an atom
C. Lightning is made of atoms
D. Lightning is created by the collision of protons

Answers

Answer:

C. Lighting is made of atoms

Explanation:

Everything is made of atoms that are, in turn, made out of charged particles. All charged particles come in one of two types: positive and negative (or plus and minus). The minus particles are the electrons, and the plus particles are the much heavier protons which are buried deep in the nucleus.

A 5 kg block is released from rest at the top of a quarter- circle type curved frictionless surface. The radius of the curvature is 3.8 m. When the block reaches the bottom o the curvature it then slides on a rough horizontal surface until it comes to rest. The coefficient of kinetic friction on the horizontal surface is 0.02.
a. What is the kinetic energy of the block at the bottom of the curved surface?
b. What is the speed of the block at the bottom of the curved surface?
c. Find the stopping distance of the block?
d. Find the elapsed time of the block while it is moving on the horizontal part of the track.
e. How much work is done by the friction force on the block on the horizontal part of the track?

Answers

Answer:

a. 186.2 J b. 8.63 m/s c. 190 m d. 43.2 s e. 186.2 J

Explanation:

a. From conservation of energy, the potential energy loss of block = kinetic energy gain of the block.

So, U + K = U' + K' where U = initial potential energy of block = mgh, K = initial kinetic energy of block = 0, U' = final potential energy of block at bottom of curve = 0 and K' = final kinetic energy of block at bottom of curve.

So, mgh + 0 = 0 + K'

K' = mgh where m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s², h = initial height above the ground of block = radius of curve = 3.8 m

So, K' = 5 kg × 9.8 m/s² × 3.8 m = 186.2 J

b. Since the kinetic energy of the block K = 1/2mv²  where m = mass of block = 5 kg, v = velocity of block at bottom of curve

So, v = √(2K/m)

= √(2 × 186.2 J/5 kg)

= √(372.4 J/5 kg)

= √(74.48 J/kg)

= 8.63 m/s

c. To find the stopping distance, from work-kinetic energy principles,

work done by friction = kinetic energy change of block.

So ΔK = -fd where ΔK = K" - K' where K" = final kinetic energy = 0 J (since the block stops)and K' = initial kinetic energy = 186.2 J, f = frictional force = μmg where μ = coefficient of kinetic friction = 0.02, m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s² and d = stopping distance

ΔK = -fd

K" - K' = - μmgd

d = -(K" - K')/μmg

Substituting the values of the variables, we have

d = -(0 J - 186.2 J)/(0.02 × 5 kg × 9.8 m/s²)

d = -(- 186.2 J)/(0.98 kg m/s²)

d = 190 m

d. Using v² = u² + 2ad where u =initial speed of block = 8.63 m/s, v = final speed of block = 0 m/s (since it stops), a = acceleration of block and d = stopping distance = 190 m

So, a = (v² - u²)/2d

substituting the values of the variables, we have

a = (0² - (8.63 m/s)²)/(2 × 190 m)

a = -74.4769 m²/s²/380 m

a = -0.2 m/s²

Using v = u + at, we find the time t that elapsed while the block is moving on the horizontal track.

t = (v - u)/a

t =(0 m/s - 8.63 m/s)/-0.2 m/s²

t = - 8.63 m/s/-0.2 m/s²

t = 43.2 s

e. The work done by friction W = fd where

= μmgd where f = frictional force = μmg where μ = coefficient of kinetic friction = 0.02, m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s² and d = stopping distance = 190 m

W = 0.02 × 5 kg × 9.8 m/s² × 190 m

W = 186.2 J

The potential energy of the loss of the block will be equal to the kinetic energy gain. The kinetic energy of the block is 186.2 J at the bottom of the curved surface.


From the conservation of energy:

The potential energy of the loss of the block will be equal to the kinetic energy gain.

So,

[tex]U = mgh[/tex]

Where,

[tex]U[/tex] - potential energy

[tex]m[/tex] - mass of block =  5 kg

[tex]g[/tex] - gravitational  acceleration = 9.8 m/s²

[tex]h[/tex] = height = radius of curve = 3.8 m

Put the values in the formula,

[tex]U = 5 \times 9.8 \times 3.8 \\\\ U = 186.2 \rm \ J[/tex]

Therefore, the kinetic energy of the block is 186.2 J at the bottom of the curved surface.

Learn more about kinetic energy:

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hii i need these answers please!! as soon as possible and if you can’t see anything jus let me know and ill tell you what it says

Answers

Answer:

Explanation:

CANT SEE ITS TOO PIXELATED

A Carnot engine takes in heat at a temperature of 790 K and releases heat to a reservoir at a temperature of 470 K. What is its efficiency?

Answers

Answer: 1280 kilometers :D

Explanation:

790 K ' 470 K = 1280 KM (KILOMETERS)

Answer:

GIVE DIS GUY BRAINLIST

Explanation:

An ideal transformer has 60 turns in its primary coil and 360 turns in its secondary coil. If the input rms voltage for the 60-turn coil is 120 V, what is the output rms voltage of the secondary coil

a. 240 V
b. 720 V
c. 360 V
d. 480 V
e. 20 V

Answers

Answer:

720 V

Explanation:

Given that,

The number of turns in primary coil, N₁ = 60

The number of turns in secondary coil, N₂ = 360

The input rms voltage, V₁ = 120 V

We need to find the output rms voltage of the secondary coil . The relation between number of turns in primary coil - secondary coil to the input rms voltage to the output rms voltage is given by :

[tex]\dfrac{N_1}{N_2}=\dfrac{V_1}{V_2}\\\\V_2=\dfrac{N_2V_1}{N_2}\\\\V_2=\dfrac{360\times 120}{60}\\\\V_2=720\ V[/tex]

So, the output rms voltage of the secondary coil is 720 V. Hence, the correct option is (b).

It the same child has a velocity of 2 m/s half-way down the slide, what is his kinetic energy?

Answers

Answer:

[tex] \frac{1}{2} \times m \times {v}^{2} \\ \frac{1}{2} \times m \times {2}^{2} \\ 2 \times m[/tex]

I dont the child mass...you should substitute that value to (m)

then you can get your answer

Maria wrote the following steps in the formation of igneous rocks. Step 1: Rocks pushed under Earth due to movement of tectonic plate Step 2: Rocks melt Step 3: Molten rocks are heated Step 4: Rocks solidify Which step contains an error?

Answers

Answer:

Step 1: Rocks pushed under Earth due to movement of tectonic plate

Step 2: Molten rocks are heated

Step 3: Rocks melt

Step 4:  Rocks solidify

Explanation:

Step 1: Rocks pushed under Earth due to movement of tectonic plate

Step 2: Rocks melt

Step 3: Molten rocks are heated

Step 4:  Rocks solidify

In the formation of igneous rocks, rocks are pushed under the earth due to the movement of tectonic plate.

As the rocks are pulled beneath the crust, they are heated and begin to melt to form magma.

Then, with time, the magma solidify to form an igneous rock.

 Step 2 is wrong.

  Step 3 should come first

Step 1: Rocks pushed under Earth due to movement of tectonic plate

Step 2: Molten rocks are heated

Step 3: Rocks melt

Step 4:  Rocks solidify

Which physical activity is NOT aerobic exercise?

A) Hip-hop dancing

B) Jump roping

C) Yoga

D) Jogging​

Answers

Answer:

C

Explanation:

Answer:

Hip-hop Dancing

Explanation:

Aerobic exercises are light (somewhat, a more accurate word would be bearable) workouts that you can endure over long periods of time. Anaerobic workouts describe workouts that require sudden burst of energy, like the ones you seen in most forms of dance, such as Hip-hop dance.

Hope this helps!

A boy pulls his 9.0 kg sled, applying a horizontal force of 14.0 N (rightward). The coefficient of friction between the snow and the sled is 0.12. Determine the net force and the acceleration of the sled. Draw a free-body diagram for the sled; use appropriate force symbols to label the type of each force acting on the sled.

Answers

Here is the answer, dud

1.
How does centripetal force due to gravity keep a satellite in orbit?

It continuously changes the direction of the satellite.

It provides the thrust to launch the satellite into space.

It prevents the satellite from falling toward Earth.

It keeps increasing the speed of the satellite.

Answers

Answer:

1st one,.

It changes the direction,

And satellite falls in earth infinity,

Its total workdone is zero

Answer:

It continuously changes the direction of the satellite.

Explanation:

our Welcome (; (:

Which type of force is the weakest?

Answers

The correct option is A i.e.  Van der Waals forces.

what is Van der Waals forces?

Van der Waals forces are weak intermolecular forces that are depending on atom or molecule distance. Interactions between uncharged atoms/molecules produce these forces.

The variation in the polarizations of two particles close to each other can produce Van der Waals forces.Van der Waals forces are substantially weaker than covalent and ionic bonding.The Van der Waals forces are additive in nature, consisting of multiple distinct interactions.These forces are inexhaustible.These forces have no discernible directional characteristics.They aren't affected by temperature (except dipole-dipole interactions)Short-range forces are Van der Waals forces. When the atoms/molecules in question are near together, their magnitude is large.

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An engineer measures the velocity of a remote-controlled cart on a straight track at regular time intervals. The data are shown in the graph above. During which of the following time intervals did the cart return to its position at time t=0 s?
A. 7 s ≤ t < 10 s
B. 10 s ≤ t < 12 s
C. 5 s ≤ t < 6 s
D. 3 s ≤ t < 5 s

Answers

Answer:

A. 7 s ≤ t < 10 s

Explanation:

From Definite Integral Theory and Mechanical Physics we remember that change in position is represented by sum of areas below the curve. According to the graphic, we see that the following condition must be satisfied:

[tex]A_{1}+A_{2} = 0[/tex] (1)

Where:

[tex]A_{1}[/tex] - Change in position from [tex]t = 0\,s[/tex] and [tex]t = 3\,s[/tex], measured in meters.

[tex]A_{2}[/tex] - Change in position from [tex]t = 5\,s[/tex] and [tex]t = T[/tex], measured in meters.

By definitions of triangle, we expand the equation above:

[tex]\frac{1}{2}\cdot (3\,s)\cdot \left(1.2\,\frac{m}{s} \right) -\frac{1}{2}\cdot (T-5\,s)\cdot v = 0\,m[/tex]

[tex]1.8\,m-0.5\cdot T \cdot v +2.5\cdot v = 0[/tex]

And the time is now cleared:

[tex]1.8\,m+2.5\cdot v = 0.5\cdot T\cdot v[/tex]

[tex]T = \frac{1.8+2.5\cdot v}{0.5\cdot v}[/tex]

Where:

[tex]v[/tex] - Final velocity of the cart, measured in meters per second.

[tex]T[/tex] - Time, measured in seconds.

If we know that [tex]v = 1\,\frac{m}{s}[/tex], then the intended instant is:

[tex]T = \frac{1.8+2.5\cdot (1)}{0.5\cdot (1)}[/tex]

[tex]T = 8.6\,s[/tex]

The value does not coincide with the time from the graph.

If we know that [tex]v = 1.5\,\frac{m}{s}[/tex], then the intended instant is:

[tex]T = \frac{1.8+2.5\cdot (1.5)}{0.5\cdot (1.5)}[/tex]

[tex]T = 7.4\,s[/tex]

This value does not coincide with the time from the graph.

If we know that [tex]v = 1.1\,\frac{m}{s}[/tex], then the intended instant is:

[tex]T = \frac{1.8+2.5\cdot (1.1)}{0.5\cdot (1.1)}[/tex]

[tex]T = 8.273\,s[/tex]

This results offer a reasonable approximation, which that the correct answer is A.

The car will return to its position at the time interval of 7 s ≤ t < 10 s. Hence, option (A) is correct.

The change in position is represented by sum of areas below the curve. According to the graphic, we see that the following condition must be satisfied:

A + A' = 0 ..................................................(1)

A is the change in position from t = 0 and t = 3 s, measured in metres.

A' is the change in position from t = 5 and t = T s, measured in metres.

As per the triangle law,

1/2 ×(3 s)(1.2) - 1/2 ×(T - 5)v = 0

1.8 - 0.5T(v) +2.5(v) =0

T = (1.8 + 2.5v)/ (0.5v)

Here, v is the final velocity of cart.

For v = 1 m/s, we have,

T = (1.8 + 2.5(1))/ (0.5(1))

T = 8.6 s

Since, the values do not coincide with the time from the graph, so taking another value, v = 1.5 m/s to obtain the time as,

T = (1.8 + 2.5(1.5))/ (0.5(1.5))

T = 7.4 s

This value does not coincide with the time from the graph.  If we know that , v = 1.1 m/s, then the intended instant is:

T = (1.8 + 2.5(1.1))/ (0.5(1.1))

T = 8.273 s

Thus, we can conclude that the car will return to its position at the time interval of 7 s ≤ t < 10 s. Hence, option (A) is correct.

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A ferris wheel with radius 12 m makes a revolution every 3 minutes. Find the linear (tangental) speed of a passenger. How far does a person move in a 5 minute ride?

Answers

Answer:

The linear (tangential) speed of a passenger is 0.4188 m/s

The distance traveled by the person in 5 minutes ride is 125.64 m

Explanation:

Given;

radius of the Ferris, r = 12 m

1 revolution per 3 minutes, [tex]\omega = \frac{2\pi (radian)}{3\ (minutes)} *\frac{1\ minute}{60 \ seconds} = 0.0349 \ rad/s[/tex]

The linear (tangential) speed of a passenger is given by;

v = ωr

v = (0.0349)(12)

v = 0.4188 m/s

The distance traveled by the person in 5 minutes ride is given by;

d = vt

d = (0.4188)(5 x 60)

d = 125.64 m

anybody wanna play among us?​

Answers

Answer:

yess

Explanation:

Answer:

yes me

mark me brainliest

1) An object travels 15 m in 3 s. What is its' speed?​

Answers

Answer:

5m/s

Explanation:

Distance/Time= Speed

D/T=S

15/3=S

5=S

The frequency of an electromagnetic wave is 1.0 x 105 Hz. Calculate the wavelength in meters. Show your work,
and be sure to keep track of the units.

Answers

Answer:

wavelength = 3000 m

Explanation:

We use the formula for the relationship between the speed (c), frequency (v), and wavelength [tex](\lambda)[/tex]:

[tex]c=\lambda\,*\,\nu\\300000000 \,\,m/s = \lambda\,*100000 \,\,1/s\\\lambda \,=\,3000\,\,m[/tex]

Block A of 15kg of the figure below slides on a surface where the coefficient of kinetic friction is uk=0.3. The block moves at 10m/s when it is s=4m from a second 10kg B block, initially at rest. Considering this situation, determine what will be the maximum compression of the spring, initially decompressed, after the collision if the coefficient of return between the blocks is e=0.6. Tip here, as the blocks are subject to friction forces, use the equation that relates mechanical energy and the work done by non-conservative forces.

Answers

Answer:

0.287 m

Explanation:

The velocity of block A when it reaches block B is:

KE₀ = KE + W

½ mv₀² = ½ mv² + Fd

½ mv₀² = ½ mv² + mg μ d

v₀² = v² + 2g μ d

v² = v₀² − 2g μ d

v² = (10 m/s)² − 2 (9.8 m/s²) (0.3) (4 m)

v = 8.75 m/s

The coefficient of restitution is 0.6, so the relative velocity between A and B after the collision is:

e = |Δv after| / |Δv before|

0.6 = Δv / (8.75 m/s)

Δv = 5.25 m/s

Momentum is conserved, so the speed of block B after the collision is:

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

(15 kg) (8.75 m/s) + (10 kg) (0 m/s) = (15 kg) (v) + (10 kg) (v + 5.25 m/s)

131.2 m/s = 25v + 52.5 m/s

25v = 78.7 m/s

v = 3.15 m/s

Energy is conserved, so the compression of the spring is:

KE = EE + W

½ mv² = ½ kd² + Fd

½ mv² = ½ kd² + mg μ d

½ (10 kg) (3.15 m/s)² = ½ (1000 N/m) d² + (10 kg) (9.8 m/s²) (0.3) d

49.6 = 500 d² + 29.4 d

0 = 500 d² + 29.4 d − 49.6

d = [ -29.4 ± √(29.4² − 4(500)(-49.6)) ] / 1000

d = (-29.4 ± 316.2) / 1000

d = 0.287 m

Other Questions
I need a google slides presentation of a >propaganda poster edge 2020 Purpose To create a propaganda poster that expresses support for or opposition to a current social or political topic Assignment Prompt In this assignment, you will create a propaganda poster that expresses support for or opposition to a current social or political topic. Your teacher will approve your . Please don't get me copyrighted.. I'll give brainliest. from the diagram, identify a pair of corresponding angles i need helppp! archibald is so excited that he earned $200 but then uncle ramon reminds archibald he borrowed $210 for his last adventure. after archibald pays uncle ramon all that he made is the debt settled Abby analyzed her research. She found studies showing that high school students should get 8 hours of sleep.However, the 100 high school students she surveyed get an average of only 6 hours of sleep because of latebedtimes and early rising times. She concluded that if students started school at a later time, they would get moresleep.Which new information would most likely require Abby to adjust her conclusion? Which of the following statements is true?A) The United States offered to pay Mexico for the western land.B) Americans believed that the western land belonged to them and refused to pay Mexico for it.C) Mexico wanted more money for its land.D) Mexico accepted the United States offer to pay for the western land. The sum of three consecutive integers is more than 62. Write an inequality to represent the abovesituation then solve your inequality. A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the banks business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the bankers earnings rounded to the nearest dollar ?? 4/9 x ? =1 what is the answer Which is NOT true?A. 16 + 3 = 11 + 8B. 16 = 16C. 16 - 4 = 7 + 6D. 16 = 19 - 3 four major sources of influence used in the creation of American government Whispering Winds Corp. purchased a delivery van with a $52000 list price. The company was given a $4200 cash discount by the dealer and paid $2700 sales tax. Annual insurance on the van is $1400. As a result of the purchase, by how much will Whispering Winds Corp. increase its van account? Which of the following was a belief held by Social Darwinists in the 1920s?A. All people around the world are created equal.B. More prosperous and technically advanced people are naturally superior to others.C. Women are generally more intelligent than men.D. Americans have an obligation to spread democracy around the world. what is the number if 50% of 25% of the number is 96 BRAINLIEST AND 100 POINTSExplain what caused the existence of the dark-colored peppered moths.Explain what caused the dark-colored peppered moths to become more numerous than the light-colored peppered moths when their environment became covered in soot.Explain what happened to the populations of the light and dark-colored peppered moths once the soot disappeared.Is the coloring of the peppered moths an example of competition, differential reproductive success, or inherited variation? Explain why.Predict what may happen to the population of pepper moths if they were relocated to a lush, green rainforest ecosystem. How would this impact natural selection and their struggle to survive? Sydney and Valparaiso are the same distance from the equator and both are near the ocean. Is Valparaiso warmer, colder, or the same temperature as Sydney? 4. PART A: Consider the senator's word choice in reference tonon-white people. What is the effect of this word choice?O A The senator compares non-white people to differentbreeds of dogs, thus degrading them to animals and theidea of breeding.B The senator describes non-white people as hoards andtheir large populations as a threat to the economicstability of the country.O c The senator describes non-white people as easy toassimilate, or conform, into the larger American culture.OD The senator describes non-white in a few derogatoryways, notably comparing them to animals and slaves. Why is the battle of Saratoga considered a turning point in the revolutionary war? One of the ceremonial roles of the president is ___________________.Conduct military businessApprove treatiesVisit the scene of national tragediesAppoint ambassadors You have 2000 grams of substance A which has decay constant 0.03, and you have 3000 grams of substance B, which has decay constant 0.05. After how many years will the amounts of the two substances be equal? The word choice an author uses to convey tone is called what?