if you were to draw a 3rd harmonic of a tube open at both ends, what would you draw at the ends of the tube?

Answers

Answer 1

A 3rd harmonic of a tube open at both ends will have displacement antinodes at both ends.

In a tube of length L with two open ends, the longest standing wave has displacement antinodes (pressure nodes) at both ends. The fundamental or first harmonic is what it is known as. The second harmonic is the longest standing wave in a tube of length L with two open ends.

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If You Were To Draw A 3rd Harmonic Of A Tube Open At Both Ends, What Would You Draw At The Ends Of The

Related Questions

A small mass m slides with negligible friction down an incline at an angle of 25.76° with respect to the horizontal. It then drops down to a horizontal surface and bounces elastically back up as shown.

The picture is to scale. It shows the position of the mass at equal time intervals starting from rest at T. The height of the mass at X is the same as at V. Click here to view the motion of the mass m.


(options are: less than, greater than, equal to)


• The speed change between T and S is (blank) between S and R.

• The speed of m at X is (blank) that at Q.

• The size of the total force on m at P is (blank) at U.

• The mechanical energy of m at P is (blank) that at V.

• The size of the total force on m at S is (blank) at P.

• The velocity of m at X is (blank) that at V.

Answers

• The speed change between T and S is greater between S and R.

• The speed of m at X is  greater that at Q.

• The size of the total force on m at P is less at U.

• The mechanical energy of m at P is equal to that at V.

• The size of the total force on m at S is greater at P.

• The velocity of m at X is equal to that at V.

What is mechanical energy?

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

Given is a small mass m slides with negligible friction down an incline at an angle of 25.76° with respect to the horizontal. It then drops down to a horizontal surface and bounces elastically back up as shown.

The picture shows the position of the mass at equal time intervals starting from rest at T. The height of the mass at X is the same as at V.

Between T to S and S to R, the mass is under constant acceleration. Time taken to move from T to S is greater than S to R. Thus, the speed change between T and S is greater than between S and R.

At Q, there is only a horizontal velocity component, but at X. the speed will be greater and has both vertical and horizontal component. Thus, the speed of m at X is greater than that at Q.

Force is given as the rate of change of momentum with time. At U, change in momentum is large compared to P. Thus, the size of the total force on m at P is less at U.

There is no friction acting on the system. So the energy remains conserved. Mechanical energy at P = V.

The force on mass m at S is only the gravity force. The remaining forces are cancelled by the normal force. Thus, size of the total force on m at S is greater at P.

The energy is conserved at each point of motion of mass. If X and V are at same height, they have same potential energy and so their kinetic energy. Thus, velocity of m at X is equal to that at V.

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Tennis balls experience a large drag force. A tennis ball is hit so that it goes up and then comes back straight down.

Answers

A tennis ball is hit by a large force so that it goes up into the air and then it comes back straight down because of gravity.

How object move upward and downward?

We know that objects move upward due to application of force on it while on the other hand, object comes to the ground because of the attraction of earth which we called gravity.

So we can conclude that a tennis ball is hit by a large force so that it goes up into the air and then it comes back straight down because of gravity.

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Consider an imaginary cylinder with a radius of r = 0.185 m and a length of l = 0.440 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 4.50 μC/m.
1.What is the electric flux through the cylinder due to this infinite line of charge?
2.What is the flux through the cylinder if its radius is increased to r= 0.600 m ?
3.What is the flux through the cylinder if its length is increased to l= 0.990 m ?

Answers

The electric flux through the cylinder due to this infinte line is 1 355 x 10' N m²/C, The electric flux through the cylinder is independent of the radius of the cylinder. So, the electric flux through the cylinder is the same as in part (a) which is equal to is 1.355 10 Nm C and The electric flux through the cylinder due to this infinte line is 2.711 x 10' N m² C

Given an imaginary cylinder with a radius of r = 0.185 m and a length of l = 0.440 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 4.50 μC/m.

Solve for the electric flux through the cylinder due to this infinte line:

As below equation mentions, the electric flux for a uniform electric filed is given by:

Фₓ = EA cosΦ

Φₓ = λLcosΦ)/ε

Φₓ = (3 x 10^(-6) x 0.4 x cos0)/(8.854 x 10^(-12))

Φₓ = 1.355 x 10^(5) Nm²/C

Hence the electric flux through the cylinder due to this infinte line is 1 355 x 10' N m²/C, The electric flux through the cylinder is independent of the radius of the cylinder. So, the electric flux through the cylinder is the same as in part (a) which is equal to is 1.355 10 Nm C and The electric flux through the cylinder due to this infinte line is 2.711 x 10' N m² C

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Why is a valve placed before the rotameter?
a.To measure the flow of liquid entering the extraction bed
b.To regulate the flow of fluid leaving the extraction bed
c.To regulate the flow of liquid entering the extraction bed
d.None of the above.

Answers

A valve placed is before the rotameter to regulate the flow of liquid entering the extraction bed. The correct option is c.

What is control valve?

Control valves are generally used to maintain a flow as close as possible to the desired value.

Valves positioned before the rotameter for throttling purposes. A control valve will regulates the rate of fluid flow. Control valves control typically flow rate, pressure, and temperature.

Thus, the correct option is c.

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A car moves with the speed of 40km/hr for the first half distance and 60km/hr for second half distance.find average speed of car?

Answers

Answer:

50km/h

Explanation:

average = (a + b) / 2

average = (60 + 40) / 2

average = 50

What are some words that have changed meaning due to technological advances in the last 20 years?

Answers

Some words that have changed meaning due to technological advances are dial, type, tweet, drone, and spam.

The frequency of a waveform is found by determining the...
Select one:
a. number of crests passing a point in a given time.
b. distance from a wave's midpoint to its crest.
c. distance between two moving low points of the wave.
d. distance between a crest and a trough.

Answers

By counting the number of crests that pass a point in a specific amount of time, one may determine the frequency of a waveform. Option a is correct.

What is the frequency of the sound?

A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.

The frequency of the sound is the inverse of the period. If the wavelength of a wave is short. The wave will indeed have a lower frequency. A longer wavelength denotes a lower frequency.

The frequency of a waveform is found by determining the number of crests passing a point in a given time.

Hence option a is correct.

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What is the estimated density of the golf ball? Record your answer to the nearest hundreth.

g/cm3

Answers

The estimated density of the golf ball is  170  kg/m³

What is density?

Density is the ratio as Mass per unit Volume.

In displacement method,  

First , we measuring the volume of water displaced by an object which tell us the volume of the object then we will use the physical balance to determine its mass.

Then calculate the density by dividing the mass by the volume.

Here,  D = m/V

By displacement method , the estimated volume of golf ball is 100 cm³  and estimated mass is 600 g

Then ,

Density =  100 cm³ / 600 g = 0. 17 g/ cm³ = 170  kg/m³

So the estimated density of golf ball is  170  kg/m³

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A truck accelerating at 0.0083 meters/second2 covers a distance of 5.8 × 104 meters. If the truck's mass is 7,000 kilograms, what is the work done to reach this distance?

Answers

Answer:

Explanation:

Force:

⇒ Mass × Acceleration

Work Done:

⇒ Force × Distance

Calculations:

⇒ Force = 0.0083 × 7000 N

⇒ Work done = 0.0083 × 7000 × 5.8 × 10^4 Joules

yhisriyftt
carzy and want one g come 6x 10-1'coulomb or one unit. The ratio, mass for each of the particle is 9.58 x 10" per gram. Hence, the mass​​

Answers

Sorry bro people do this 33.2e gif

PLEASE HELP!! 50 points. The answer is not 2.6 m/s.

Answers

Answer:

A

Explanation:

5.2mm/s

hope this helps

A circular wheel of mass 50 kg and radius 200 mm is rotating at 300 r.p.m. Find its kinetic energy.

Answers

Answer:
493.29J
Explanation:
w= 300rpm
w=(300*2*pi)/60 convert rpm into rad/s
w=31.41rad/s
M given 50kg
R given as 200mm convert it in terms of meter
I=0.5* MR^2 (M R squared)
I=0.5*50 * (200*10^-3)^2
I=0.5*50*0.04
I=1 kgm^2
KE=0.5*I*w^2 (w squared)
KE=0.5*1*(31.41)^2
KE=493.29J

Particles q1, q2, and q3 are in a straight line.
Particles q1 = -5.00 x 10-6 C,q2 = +2.50 x 10-6 C,
and q3 = -2.50 x 10-6 C. Particles q₁ and q2 are
separated by 0.500 m. Particles q2 and q3 are
separated by 0.250 m. What is the net force on q2?

Answers

The net force on q2 will be 1.35 N

A force in physics is an effect that has the power to alter 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 force. Being a vector quantity, a force has both magnitude and direction.

Given Particles q1, q2, and q3 are in a straight line. Particles q1 = -5.00 x 10-6 C,q2 = +2.50 x 10-6 C, and q3 = -2.50 x 10-6 C. Particles q₁ and q2 are separated by 0.500 m. Particles q2 and q3 are separated by 0.250 m.

We have to find the net force on q2

At first we will find Force due to q1

F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.5²

F = 450 × 10⁻³

F₁ = 0.45 N (+)

Now we will find Force due to q2

F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.25²

F = 1800 × 10⁻³

F₂ = 1.8 N (-)

So net force (F) will be

F = F₂ - F₁

F = 1.8 - 0.45

F = 1.35 N

Hence the net force on q2 will be 1.35 N

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Which statement describes how upwelling occurs

Answers

The statement best describes how upwelling occurs is Upwelling causes nutrients, minerals, and tiny organisms to rise. The correct option is C.

What is upwelling?

Upwelling occurs when winds push surface water away from the shore and deeper water rises to fill the gap.

The upwelling is a cycle that shows up in the water bodies all over the planet. This cycle is basically addressing the ascending of the virus waters towards the surface where there's hotter environment, subsequently hotter water also.

With the ascent of the virus waters towards the surface, everything with it ascend also. The virus waters are plentiful in supplements and minerals, as well as minuscule creatures, like the Phyto-microscopic fishes.

This is a cycle that is vital for the presence of the environments in the bigger water bodies.

Thus, the correct option is C.

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Answer asap for brainlist

Answers

They use less wire, A

what’s better csp or pv ?

Answers

Answer:

CSP

Explanation:

CSP systems store energy through Thermal Energy Storage technologies (TES), so power can be used when there isn't enough sunlight. PV systems, however, can't store thermal energy because they use direct sunlight, rather than heat. For this reason, CSP systems are better for energy storage and efficiency.

A railroad cart with a mass of m1 = 11.6 t is at rest at the top of an h = 10.9 m high hump yard hill.
After it is pushed very slowly over the edge, it starts to roll down. At the bottom it hits another cart originally at rest with a mass of m2 = 23.2 t. The bumper mechanism locks the two carts together. What is the final common speed of the two carts? (Neglect losses due to rolling friction of the carts. The letter t stands for metric ton in the SI system.)

Answers

The final common speed of the two carts will be 69.3 m/sec.The momentum conservation principle is applied.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

Unit conversion:

1 metric tons = 1000 kg

Given data;

m₁= 11.6 metric ton =11600 kg

m₂ = 23.2 metric ton =  23200 kg

Let v represent the combined velocity of the two carts once they are connected, and let u represent the starting velocity of cart 1 when it reaches the bottom.

Considering energy conservation;

[tex]\rm m_1 g h = \frac{1}{2} m_1 \times u^2 \\\\ u^2 = 2gh\\\\ u^2 = 2 \times 9.8 \times 10.6 \\\\ u = 207.972 \ m/s[/tex]

From the conservation of momentum principle;

[tex]\rm m_1 \times u = (m_1 + m_2) v\\\\ 11600 \times 207.972 = (11600 + 23200) \times v \\\\ v = 69.3 \ m/s[/tex]

Hence, the final common speed of the two carts will be 69.3 m/sec.

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Put the steps of the scientific method in order.
A. Question -> Research -> Hypothesis -> Experiment -> Analysis -> Conclusion
B. Research -> Hypothesis -> Experiment ->Question -> Conclusion -> Analysis
C. Research -> Question -> Hypothesis -> Experiment -> Analysis -> Conclusion
D. Hypothesis -> Experiment -> Conclusion -> Question -> Research -> Analysis

Answers

Answer:

c

Explanation:

Answer:

c

Explanation:

im smart

A 50 N force is applied to the free end of a spiral spring of force constant, 100 Nm
Calculate the work done by the force to stretch the spring.

Answers

The work done by the force to stretch the spring is determined as 12.5 J.

Work done by the force

The work done by the force to stretch the spring is calculated as follows;

W = ¹/₂Fx

F = kx

W = ¹/₂F(F/k)

W = ¹/₂F²/k

W = ¹/₂ x (50²)/100

W = 12.5 J

Thus, the work done by the force to stretch the spring is determined as 12.5 J.

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Where is the body or mass in the water when the buoyant force is equal to the weight of the mass? Does it float up, or down or in the middle?

Answers

Answer:

it will float

Explanation:

according to Archimedes' principle, if the buoyant force is equal to the weight of the mass of the object, the object will float

Two very large charged parallel metal plates are 13.0 cm c m apart and produce a uniform electric field of 3.40×106 N/C N / C between them. A proton is fired perpendicular to these plates with an initial speed 5.20 km/s k m / s , starting at the middle of the negative plate and going toward the positive plate.

Answers

The work done by the electric field on the proton when it reaches the positive plate willl be 9.1 ×10⁻¹⁵ J.

What is an electric field?

A physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field, either attracting or repelling them, is referred to as an electric field,

The electric field formula is as follows:

E = F /Q

Where,

The electric field is denoted by the letter E.

F is a powerful letter.

The charge is Q.

The potential difference between the plate;

[tex]\rm V = E d \\\\ V = 3.40 \times 10^6 \times 0.13 \ m \\\\ V= 442000 \\\\ V = 4.42 \times 10^5 \ v[/tex]

Force on the charged particle ;

[tex]\rm F = qV \\\\ F= 1.6 \times 10^{-19} \times 4.42 \times 10^ 5 \\\\\ F = 7.0 \times 10^{-14} \ N[/tex]

Work done in  order to move the charge;

[tex]\rm W = F \times d \\\\ W= 7.0 \times 10^{-14} \ N \times 0.13 m \\\\ W=9.1 \times 10^{-15} \ J[/tex]

Hence, the work done by the electric field on the proton when it reaches the positive plate willl be 9.1 ×10⁻¹⁵ J.

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how do I calculate equilibrant and fx and fy. I don't understand what they are asking

Answers

(a) The equilibrant C for force of vector A and B is 3.43 N.

(b) The equilibrant C for fx of vector A and B is 2.1 N.

(c) The equilibrant  C, for fy of vector A and B is 2.12 N.

What is equilibrant force?

An equilibrant force is a single force that will bring other bodies into equilibrium.

From configuration 1:

Vector A: mass = 0.2 kg, θ = 20⁰

Vector B: mass = 0.15 kg, θ = 80⁰

Fx = mg cosθ

Fy = mg sinθ

where;

m is mass g is acceleration due to gravity

Vector A

Force of A due to its weight

F(A) = mg

F(A) = 0.2 x 9.8 = 1.96 N

Fx = (0.2 x 9.8) cos(20) = 1.84 N

Fy = (0.2 x 9.8) sin(20) = 0.67 N

Resultant force

R = √(0.67² + 1.84²)

R = 1.96 N

Vector B

Force of B due to its weight

F(B) = mg

F(B) = 0.15 x 9.8

F(B) = 1.47 N

Fx = (0.15 x 9.8) cos(80) = 0.26 N

Fy = (0.15 x 9.8) sin(80) = 1.45 N

Resultant force

R = √(0.26² + 1.45²)

R= 1.47 N

Equilibrant  C of vector A and B

Equilibrant force:

Force, C = 1.96 N + 1.47 N

Force, C = 3.43 N

Equilibrant FX:

Fx, C = Fx(A) + Fx(B)

Fx, C = 1.84 N + 0.26 N = 2.1 N

Equilibrant FY:

Fy, C = Fy(A) + Fy(B)

Fy, C =0.67 N + 1.45 N = 2.12 N

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If the mass of the falling object is 60kg. Calculate force. [Take g=10m/s2] ​

Answers

=60∗9.81/=588.6
Word word
Word word

A squirrel sitting on the ground starts to run with an acceleration of 5.1 m/s².
How fast is the squirrel going after 0.25 seconds?
O A. 20.4m/s
OB. 0.49 m/s
OC. 3.1 m/s
OD. 1.28 m/s

Answers

Answer:

0.159

Explanation:

the formula to find its is 1÷2*gt^2

Answer:

D

Explanation:

v= a t

 = 5.1 * .25 = 1.275 m/s

An elevator is moving in an upwards direction. The free body diagram for the forces acting on the elevator during this time is: The motion of the elevator can best be described as:

Answers

The motion of the elevator can best be described as motion against gravity with negative acceleration.

What is motion?

Motion refers to a change in position of an object when it moves from one point another along a reference frame.

An object moving in a downward direction is moving in a positive direction and its velocity increases relative to the earth since gravity acts downwards.

An object moving in a upward direction is moving in a negative direction and its velocity decreases relative to the earth since gravity acts downwards.

Therefore, the motion of the elevator can best be described as motion against gravity with negative acceleration.

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In which device is chemical energy transformed into electrical energy?

Answers

Answer:

A Rechargeable Battery

Explanation:

That is roughly what happens when a secondary cell is recharged (rechargeable battery.) Electric current transforms one chemical species with a lower energy level into another with a higher energy level. When the battery is loaded, this energy can be released. Strictly speaking, no conversion occurs: chemical energy is electrical energy! The energy of electrons in any particular substance, such as metal, are due to electron interactions with the nuclei in the substance and with each other. Electrons, in particular, occupy certain energy levels in metals. Because each metal has a distinct highest occupied energy level, electrons can alter their energies by traveling from one metal to another. An electrical current is made up of this movement!

A car traveling at 120km/h towards west makes a right turn and travel north without changing its speed .120km/h120km/h.Using a vector diagram.Finding the magnitude and direction of the resultant velocity of the car

Answers

The magnitude and direction of the resultant velocity of the car will be 169.70 km/h and 45°.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A car traveling at 120 km/h towards west makes a right turn and travel north without changing its speed.

Then the magnitude (R) will be

R² = 120² + 120²

R² = 28800

R = 169.70 km / h

Then the direction of the resultant velocity will be

tan θ = 120 / 120

tan θ = 1

tan θ = tan 45°

     θ = 45°

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Calculate the frequency of the wave shown below.
Frequency = Speed/Wavelength (λ)

Select one:
a. 4 hertz
b. 3 hertz
c. 2 hertz
d. 1 hertz

Answers

[tex] \color{skyblue}{ \underline{ \frak { \: option \: ( \: c \: ) = 2 \: hertz ✓}}}[/tex]

[tex] \: \: [/tex]

Given :

Wavelength ( λ ) = 2 m

[tex] \: \: [/tex]

Speed = 4 m/s

[tex] \: \: [/tex]

We, have to find frequency :

[tex] \: [/tex]

[tex] \large \tt \: Frequency = \frac{Speed}{Wavelength ( \: λ \: )} [/tex]

[tex] \: \: [/tex]

[tex]\large \tt \: Frequency = \frac{4}{2} [/tex]

[tex] \: \: [/tex]

[tex]\large \tt \: Frequency = \cancel \frac{4}{2} [/tex]

[tex] \: \: [/tex]

[tex] \pink{ \boxed{\large \tt \: Frequency =2 \: Hertz ✓}}[/tex]

[tex] \: \: [/tex]

Hope Helps!

a. The potential energy stored in the compressed spring of a dart gun, with a spring constant of 62.00 N/m, is 0.940 J. Find by how much is the spring is compressed.
b. A 0.010 kg dart is fired straight up. Find the vertical distance the dart travels from its position when the spring is compressed to its highest position.
c. The same dart is now fired horizontally from a height of 4.70 m. The dart remains in contact until the spring reaches its equilibrium position. Find the horizontal velocity of the dart at that time.
d. Find the horizontal distance from the equilibrium position at which the dart hits the ground.

Answers

a. The spring is compressed  by  0.174 m.

b.  The vertical distance the dart travels from its position when the spring is compressed to its highest position is 9.6 m.

c. The horizontal velocity of the dart at that time is  13.74 m/s.

d. The horizontal distance from the equilibrium position at which the dart hits the ground is 19.236 m.

What is potential energy?

The energy by virtue of its position is called the potential energy.

a. Given is the potential energy stored in the compressed spring of a dart gun, with a spring constant of 62.00 N/m, is 0.940 J.

PE  of spring = 1/2 kx²

Put the values, we get

P.E = 0.940 = 1/2 x 62 x²

x = 0.174 m

Thus, the spring is compressed by 0.174 m.

b. Given is a 0.010 kg dart is fired straight up.

The vertical height is find out by

0.940 J = (0.010 kg) (9.8 m/s²) h

h = 9.6 m

Thus, the vertical distance the dart travels from its position is 9.6 m

c. From the conservation of energy principle, total mechanical energy is conserved.

1/2 mv² =mgh

v = √2gh

Plug the values, we get

v = √2 x 9.8x 9.6

v = 13.74 m/s

Thus, the horizontal velocity is  13.74 m/s.

d.  Time that dart spends in air, t = √2h/g

t = √(2x9.6)/9.81

t = 1.4 s

The horizontal distance from the equilibrium position at which the dart hits the ground.

Horizontal distance = (Velocity on x direction) x time

Horizontal distance = 13.74 m/s x 1.4s

Horizontal distance = 19.236 m

Thus, the horizontal distance is 19.236 m.

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when energy is transferred from one part of a system to another, some of the energy is lost during the transfer and cannot be used as it was intended. Which two sentences describes examples of this?

Answers

Sentences A and D describe examples of energy transformation.Heat is produced when a car's tires rub against the pavement and as electricity passes across power wires, they become hotter.

What is the law of conservation of energy?

According to the law of conservation of energy, the energy of an isolated system stays unchanged throughout time.it is said to be conserved.

Energy cannot be created nor destroyed and can be transferred from one form to the other form.

The complete question is

"When energy is moved from one component of a system to another, some of the energy is lost and cannot be used as planned.

Which two statements provide examples?

A. Friction between a car's tires and the road produces heat.

B. Sunlight strikes a solar panel, generating electricity.

c. Stereo speakers emit a sound when powered by electrical energy,

D. Wind moves a turbine, generating electricity.

I E. Power lines heat up as electricity flows through them."

Some of the energy wasted during the movement of energy from one section of a system to another is heat is produced by friction between a car's tires and the road and as electricity passes via power lines, they heat up.

Hence, sentences A and D describe examples of energy transformation.

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If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function can disjunction introduction (either il or ir ) be used to derive any type of formula other than a disjunction? Using the Five Steps to Information Literacy, what must you do in order to go from defining what an assignment requires of you to selecting how you will record what you find? The temperature of a 0.85kg block of copper was found to be 21 degrees the copper was placed in the sun and temperature increased to 28 degrees.Assume the specific heat of copper to be 0.385J/g degrees and determine the amount of heat absorbed by the block of copper. Initial public offer(IPO) It is On primary market or secondary ? What mood IS created by the oxymoron and paradox inthis excerpt?excitementchaoshopefulnessseriousness HELP PLSSS I NEED THIS ASAPFour students are simplifying the expression 5x(-3-7x).Which student's work is correct?O5x(-3-7x)(5x)(-3) - 7x-15x-7xO 5x(-3-7x)(5x)(-3) - (5x)(7x)-15-35xO5x(-3-7x)-3 + 5x-7x-3-2xO5x(-3-7x)(5x)(-3)+(5x)(-7x)-15x-35x Determine whether each set of data can be modeled by an exponential function. If so, find the exponentialfunction that fits the data. how many solutions exists for the given equation?3x+13=3(x+6)+1 help please!!!!!!!!! WILL GIVE BRAINIEST!! Review each detail below from the text. Then, write the number of each detail in the correct column to differentiate between important and unimportant details to include in a summary. Identify each of the following as rational or irrational 23104.426449.39610.97846727460 what word comes to lt. dunbars mind when he thinks of the sioux? Patrisse and Makayla began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Patrisse took a test in English and earned a 81.4, and Makayla took a test in Art History and earned a 60.6. Use the fact that all the students' test grades in the English class had a mean of 72.8 and a standard deviation of 11.8, and all the students' test grades in Art History had a mean of 67 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Patrisse's test grade. z = [Round your answer to two decimal places.] b) Calculate the z-score for Makayla's test grade. z = [Round your answer to two decimal places.] c) Which person did relatively better? Patrisse Makayla They did equally well. What did the supreme court decide in vernonia v. Acton?. Which type of law involves incidents in which an individual commits an act against the public as a whole What is the best definition of fitness in terms of evolution?a. The amount of lean muscle mass in an organismb. The ability of an organism to exercise for a long period of timec. An organisms ability to survive to an old aged. An organisms ability to survive and produce fertile offspring What is the main objective of the Royal Society founded in England in 1660?A. to promote the teachings of classical thinkersB. to encourage modern scientific ideas and discoveriesC. to support the beliefs set by the churchD. to encourage developments exclusively in the field of astronomy A block of mass m on a horizontal frictionless surface is pushed against a spring. If the spring is compressed a distance of x, then the velocity of the object when the spring returns to the equilibrium position is best represented by: Round to the nearest ten thousandths 15.76548908 *