For which length of wire are the reading of resistance most precise

Answers

Answer 1

Answer:

Explanation:

There are different ways to investigate the factors that affect resistance. In this practical activity, it is important to:record the length of the wire accuratelymeasure and observe the potential difference and currentuse appropriate apparatus and methods to measure current and potential difference to work out the resistance


Related Questions

i need help with lab

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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3
012 10.0 points
A car with mass 1060 kg crashes into a wall.
The car's velocity immediately before the col-
lision was 14.6 m/s and the bumper is com-
pressed like a spring with spring constant
1.14 × 107 N/m.
What is the maximum deformation of the
bumper for this collision?
Answer in units of m.
013 10

Answers

Hi there!

The maximum deformation of the bumper will occur when the car is temporarily at rest after the collision. We can use the work-energy theorem to solve.

Initially, we only have kinetic energy:

[tex]KE = \frac{1}{2}mv^2[/tex]

KE = Kinetic Energy (J)
m = mass (1060 kg)
v = velocity (14.6 m/s)

Once the car is at rest and the bumper is deformed to the maximum, we only have spring-potential energy:

[tex]U_s = \frac{1}{2}kx^2[/tex]

k = Spring Constant (1.14 × 10⁷ N/m)

x = compressed distance of bumper (? m)

Since energy is conserved:

[tex]E_I = E_f\\\\KE = U_s\\\\\frac{1}{2}mv^2 = \frac{1}{2}kx^2[/tex]

We can simplify and solve for 'x'.

[tex]mv^2 = kx^2\\\\x = \sqrt{\frac{mv^2}{k}}[/tex]

Plug in the givens and solve.

[tex]x = \sqrt{\frac{(1060)(14.6^2)}{(1.14*10^7)}} = \boxed{0.0198 m}[/tex]

imagine your lifting a toy car above your head and then holding it stationary above your head. While it is stationary what forces do you think act on the toy car

Answers

Gravity and normal forces act on the toy car.

What is force?A push or pull that an object experiences as a result of interacting with another item are known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.Both contact forces and forces coming from the action at a distance can be used to categorize all forces (interactions) between objects.Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces.Gravitational forces are examples of action-at-a-distance forces.The standard metric unit known as the Newton is used to quantify force. "N" stands for Newton in abbreviation.

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Need help with this question!!

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A beta particle or an electron is released during beta decay. The charges can be positive or negative. Co changes to Ni, Fe to Mn, Pb to Tl, and Pu to Am.

What is beta decay?

Beta-decay is the radioactive decay that involves the release of the beta particle or the positron or the electron. The larger nucleus splits during nuclear fission and releases smaller nuclei.

The nuclear reactions are shown as:

⁶⁰Co₂₇ → ⁶⁰Ni₂₈ + ⁰e₋₁

⁵⁶Fe₂₆ → ⁵⁶Mn₂₅ + ⁰e₋₁

²¹⁰Pb₈₂ → ²¹⁰Tl₈₁ + ⁰e₋₁

²⁴¹Pu₉₄ → ²⁴¹Am₉₅ + ⁰e₋₁

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22. On a day the wind is blowing toward the south at 3m/s, a runner jogs west at 4m/s. What is the velocity of the air relative to the runner?

Answers

The velocity of the air relative to the runner is 5 m/s.

What is the relative velocity?

We must recall that velocity is a vector quantity and the relative velocity must be obtained vectorially. Thus we know that;

Velocity of the runner = 4m/s. due west

Velocity of the wind =  3m/s due south

The relative velocity is;

Vr = √(4)^2 + (3)^2

Vr = 5 m/s

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Which two of the following statements best describe the similarity between elements and compounds? 1. Elements and compounds are listed in the periodic table. 2. Elements and compounds are both pure substances. 3. Elements and compounds are both made of different kinds of atoms. 4. Elements and compounds cannot be broken down by physical changes.

Answers

I think the answers are 2 and 3

An upward force is applied to a 6.0–kilogram box. This force displaces the box upward by 10.00 meters. What is the work done by the force on the box?

Answers

The work done by the force on the box 588 Joule.

What is Potential energy ?

It is the energy that is stored in an object due to its position relative to some zero position.

According to the question,

Given mass of the box (m)  = 6.0 kg

Given displacement of the box =  10.00 m

Hence , the height of the box  (h) = 10.00 m

Acceleration due to gravity (g)  =  9.8 m/s²

Since ,

The upward force was applied to the box, the box moves up to the height.

Therefore, the work done by the ball is the potential energy gained by the ball.

By using the formula of potential energy

P.E. = mgh

= 6 × 9.8 × 10 Joule  = 588 Joule

As we know .

Work done (W) = Potential energy (P.E.)

Work done (W) = 588 Joule

Thus,  588 Joule is the work done by the force on the box.

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A surfer on top of a wave takes 10 seconds to travel a distance of 40 meters. What is the speed of the wave the surfer is riding on?
Select one:
a. 0.25 m/s
b. 4 m/s
c. 40 m/s
d. 400 m/s

Answers

Answer:

B. 4 m/s

Explanation:

The formula for Speed is distance per time.

Therefore Speed = Distance / Time

Data

D = 40 m

T = 10 sec

S = ?

Speed = 40m /10sec

To find the speed , divide the distance by the time.

Note : the unit for Speed is meter /second

Speed = 4 m/s

Therefore the speed of the wave, the surfer is riding on is 4 m/s.

What will be the temperature reading in Fahrenheit scale whe eading is 310 k?​

Answers

The temperature reading in Fahrenheit scale when reading 310 K is  98.6F

What is temperature?

Temperature is the degree of hotness or coldness of the object.

Given is a temperature in Kelvin scale = 310 K

Temperature on centigrade scale = 310 -273 = 37°C

Temperature conversion from Centigrade to Fahrenheit is

C/5 = F -32/9

Plug the value, we get

37/5 = F-32/9

66.6 = F -32

F = 32+66.6 =

F = 98.6

Thus, the temperature of 310 K in Fahrenheit is 98.6F.

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As a warehouse worker pushes a crate across a concrete floor, the force he
applies is not perfectly horizontal, as shown in the image below. If the
coefficient of kinetic friction between the crate and concrete floor is 0.5, what
is the net force on the crate?
A. 136 N
B. 99 N
C. 73 N
D. 112 N

Answers

The net force on the crate will be 99 N.Option B is correct.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N). it is defined as the product of the coefficient of friction and normal reaction.

On resolving the given force and acceleration.Mathematically in the different components and balancing the equation gets.Components in the x-direction.

When all the forces get resolved the y-direction of forces are;

300 sin 10° +N = 445

N = 445-295.4

N = 392.9 N

The normal force is 392.9 N.

The net force on the crate is found by resolving the force in the x-direction;

F = 300 cos 10° - μN

F= 295.44-196.45

F= 98.99

F=99

Hence, the net force on the crate will be 99 N.Option B is correct.

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The cutoff frequency for a certain element is 1.22 x 10^15 Hz. What is its work function in eV?

Answers

The work function in eV for the given cutoff frequency is  5.05 eV.

What is cutoff frequency?

The work function is related to the frequency as

Wo = h x fo

where, fo = cutoff frequency and h is the Planck's constant

Given is the cutoff frequency for a certain element is 1.22 x 10¹⁵ Hz

Wo = 6.626 x 10⁻³⁴ x  1.22 x 10¹⁵ Hz / 1.6 x 10⁻¹⁹

Wo = 5.05 eV

Thus, the work function is  5.05 eV

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What must the charge (sign and magnitude) of a particle of mass 1.45 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 600 N/C ? Use 9.80 m/s2 for the magnitude of the free-fall acceleration.

Answers

[tex]q = -21 * 10^{-6} C[/tex]

What is Free-fall acceleration?

The acceleration is constant and equal to the gravitational acceleration g which is 9.8 m/s at sea level on the Earth.

As we know that charge and its sign that remains in equilibrium is under gravity must be such that it will balance the gravitational force by electric force,

mg =qE

[tex]1.45 * 10^{-3}(9.80)=q(600)\\\\q = 21 *10^{6} C\\\\[/tex]

and its sign must be negative so that it will have upward electric force

so it is

[tex]q = -21 * 10^{-6} C[/tex]

The charge of a particle of mass is [tex]-21 * 10^{-6} C[/tex]

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question is below............

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The total distance traveled by the gardener is 8 meters. the magnitude of total displacement is approximately 7 meters.

Total distance covered by gardener = 2 + 1 +2 + 3      

                                                                      = 8 meters

For the magnitude of displacement, we will take the shortest path for the gardener movement.

                              for displacement-

                                       [tex]=\sqrt{( 0-4^{2}) +( 6-0^{2} )}\\=\sqrt{52} \\=7[/tex](approximately)

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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

find the velocity and acceleration if x=t³ +2t²+4 at a time 2s​

Answers

Answer:

[tex]\textsf {v = 20 m/s}[/tex]

[tex]\mathsf {a = 16 m/s^2}[/tex]

Explanation:

[tex]\textsf {To find velocity, let's differentatiate x :}[/tex] [tex]\implies \mathsf {v = \frac{dx}{dt} }[/tex]

⇒ [tex]\mathsf {v = \frac{d}{dx}(t^{3}+2t^{2}+4) }[/tex]

⇒ [tex]\mathsf {v = 3t^{2} +4t +0 }[/tex] [tex]\textsf {(By applying law of differentiation)}[/tex]

[tex]\textsf {Substitute t = 2 :}[/tex]

⇒ [tex]\mathsf {v = 3(2)^{2} + 4(2) }[/tex]

⇒ [tex]\textsf {v = 12 + 8}[/tex]

⇒ [tex]\textsf {v = 20 m/s}[/tex]

[tex]\textsf {To find acceleration, let's differentatiate v :}[/tex] [tex]\implies \mathsf {a = \frac{dv}{dt} }[/tex]

⇒ [tex]\mathsf {a = \frac{d}{dx}(3t^{2}+4t) }[/tex]

⇒ [tex]\textsf {a = 6t + 4}[/tex]

[tex]\textsf {Substitute t = 2 :}[/tex]

⇒ [tex]\textsf {a = 6(2) + 4}[/tex]

⇒ [tex]\textsf {a = 12 + 4}[/tex]

⇒ [tex]\mathsf {a = 16 m/s^2}[/tex]

A force of 5.25 newtons acts on an object of a mass 25.5 kilograms. How far is the object from the center of Earth? (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.)

Answers

Answer:

The force between two objects is calculated through the equation,

                       F = Gm₁m₂/d²

where m₁ and m₂ are the masses of the objects. In this case, an unknown mass and Earth. d is the distance between them and G is the universal gravitation constant.

In the second case, if the force is to become 2.5 times the original and all the variables are constant except d then,

                      2.5F = Gm₁m₂ / (D²)

                               D = 0.623d

Subsituting the known value of d,

                               D = 0.623(6.9 x 10^8) = 4.298 x 10^8 m

                         


Radioactive decay can involve electrons
True or False

Answers

Answer:

i believe the answer is true

Question 1 of 25
In the covalent compound CO₂, the Greek prefix used to represent the anion is

Answers

Answer:

di

Explanation:

The prefix is di. CO2 is carbon dioxide. di means 2.

A 50 g bullet moving horizontally at a velocity of 400 m/s collides and embeds itself in a 25 kg block that rests on a rough horizontal surface and is attached to a spring with a spring constant of 180 N/m. The impact causes a compression of 12 cm in the spring. What is the coefficient of friction between the block and the surface?

Answers

The coefficient of friction between the block and the surface is determines as 0.1.

Final velocity of the block and the bullet

Apply the principle of conservation of linear momentum;

0.05(400) = v(0.05 + 25)

20 = 25.05v

v = 0.8 m/s

Coefficient of friction

Apply the principle of conservation of energy

P.E  - K.E = Ux

μmgx - ¹/₂mv²  = ¹/₂kx²

μ(25.05)(9.8)(0.12) - 0.5(25.05)(0.8)² = 0.5(180)(0.12)

29.459μ - 8.016   = 10.8

29.459μ = 2.784

μ = 0.1

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An m = 6.11 g bullet is fired into a 365 g block that is initially at rest at the edge of a table of h = 1.08 m height as shown in the figure.
1. The bullet remains in the block, and after the impact the block lands d = 1.84 m from the bottom of the table. How much time does it take the block to reach the ground once it flies off the edge of the table?
2. What is the initial horizontal velocity of the block as it flies off the table?
3. Determine the initial speed of the bullet.

Answers

(a) The time taken the block to reach the ground once it flies off the edge of the table is 0.47 s.

(b) The initial horizontal velocity of the block as it flies off the table is 3.91 m/s.

(c) The initial speed of the bullet is 237.5 m/s.

Time of motion of the block

The time of motion of the block is calculated as follows;

h = ¹/₂gt²

where;

h is height of the tablet is time of motion

t = √(2h/g)

t = √( (2 x 1.08) / 9.8)

t = 0.47 s

Initial horizontal velocity of the block

x = vt

v = x/t

v = (1.84)/(0.47)

v = 3.91 m/s

Initial speed of the bullet

m1u1 + m2u2 = v(m1 + m2)

where;

m1 is mass of bulletm2 is mass of blocku1 is initial velocity of the bulletu2 is the initial velocity of the blockv is initial horizontal velocity of the block as it flies off the table

0.00611(u1) + 0.365(0) = 3.91(0.00611 + 0.365)

0.00611u1 = 1.451

u1 = 1.451/0.00611

u1 = 237.5 m/s

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Please I need help fast. Assignment is due soon.

1) A ball is thrown from the top of a building with an initial speed of 8.0 m/s at an angle of 35° above the horizontal. The building is 18 m tall.

a) How long is the ball in the air?

b) How far from the building does the ball land?

c) What is its impact speed?


2) A 65-kg person driving a car hits the gas, accelerating the car at a rate of 3.9 m/s^2. Find the magnitude and direction of the force exerted by the seat on the person's body. Remember to include both the horizontal and the vertical components.

Answers

(a) The time spent in the air by the ball is 1.5 seconds.

(b) The horizontal distance of the ball is 9.83 m.

(c) The impact speed of the ball is 20.37 m/s.

(2) The magnitude of the force is 253.5 N in horizontal direction.

Time of motion of the ball

The time of motion of the ball is calculated as follows;

h = vt + ¹/₂gt²

18 = 8sin(35)t + (0.5)(9.8)t²

18 = 4.589t + 4.9t²

4.9t² + 4.589t - 18 = 0

solve the quadratic equation using formula method,

t = 1.5 s

Horizontal distance of the projectile

X = vcosθ(t)

X = 8cos(35) x 1.5

X = 9.83 m

Impact speed of the projectile

vyf = vyi + gt

vyf = 8sin(35) + 9.8(1.5)

vyf = 19.289 m/s

vxf = vxi

vxf = 8 x cos(35)

vxf = 6.55 m/s

Resultant speed = √(19.289² + 6.55²) = 20.37 m/s

Magnitude of the force exerted by the seat on the person

F = ma

F = 65 x 3.9

F = 253.5 N

Since the motion is horizontal, the angle of the motion is zero.

Fx = 253.5cos(0) = 253.5 N

Fy = 253.5sin(0) = 0 N

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What is the acceleration of Karla's I Phone being thrown from Mr. Higley's classroom at 0m/s if it hits the wall 1.2 seconds later going 35 m/s?

Answers

The acceleration of Karla's I IPhone being thrown from Mr. Higley's classroom at 0 m/s will be 29.16 m/s²

What is acceleration?

The rate of velocity change concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

The given data in the problem is given by ;

u is the initial speed =  0 m/sec

v is the final speed= 35  m/sec

t is the time interval= 1.2 second

a is the acceleration=? m/sec²

The formula for acceleration is;

[tex]\rm a=\frac{v-u}{t} \\\\ a= \frac{35-0}{1.2} \\\\ a= 29.16 \ m./s^2[/tex]

Hence, the acceleration of Karla's iPhone being thrown from Mr. Higley's classroom at 0 m/s will be 29.16 m/s²

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It just so happens that regardless of the material, when objects are heated up they will start to glow and change colors at near identical temperatures. The plot that you see is called a blackbody spectrum. This plot tells us the intensity or the “amount” of light that an object will emit at different wavelengths (or “colors”). The visible wavelengths are marked by their colors on the plot. To the right of the visible band is lower energy infrared light. To the left of this band is higher energy ultraviolet (UV) light.
Click the + button that is to the left of the intensity scale (far left side of the screen) such that the top of the scale is at 1x10-3 (in the picture above, the top of the scale says 100).
Now use the temperature slider to the right, and take the temperature all the way down to 300 Kelvin (80 Fahrenheit).
Now slowly begin to raise the temperature. At approximately what temperature would a heated material (metal, wood, etc.) begin to give off visible light at a deep red color?

Answers

Answer: the plot that you see is called a blackbody spectrum. This plot tells us the intensity or the amount of light that an object will emit at different wavelenths.

Explanation: i hope that this helps

a person walk at first constant speed 5 m/s then back alone the straight line from B to A at a constant speed 3 m/s a) what is his average speed over the entire trip b) what is his average velocity over the entire trip​

Answers

Answer:

3.75 m/s

Explanation:

Comment

Let's deal with the second question first. The average velocity is 0 because the displacement (distance between the starting point and ending point) is 0.

The first question is a little harder. You don't seem to have enough information. When that happens, you can just make things up. Now there's an interesting solution. You could do it with algebra, but it is easier to see with numbers.

Givens

d = 150 m. between A and Br1 = rate from A to B = 5 m/sr2 = rate from B to A = 3 m/stime A to B = t1time B to A = t2

Formulas

t1 = d / r1

t2 = d/r2

average rate = total distance / total time

Solution

t1 = 150 m / 5 m/s = 30 seconds

t2 = 150 m / 3 m/s = 50 seconds

Total distance = 150 m + 150 m = 300 m

Total time = 30 seconds + 50 seconds = 80 seconds

Average speed = 300 m / 80 s

Answer

Average speed = 3.75 m/s

loade Brack Figure below show a circuit diagram of a device for controlling the temperature in a room. Explain how the Iron Heating element S loade Brack Figure below show a circuit diagram of a device for controlling the temperature in a room . Explain how the Iron Heating element S​

Answers

Answer:

suna bro i am nepali and nepali are pro

Which is the correct unit for electrical power?

Answers

The correct unit for electrical power is “watt”

Answer:

As electrical power is measured in Watts (W), therefore it must be also be measured in Joules per Second. So we can correctly say that: 1 watt = 1 joule per second (J/s).

Explanation:

A sports car can move 100.0 m in the first 3.8 s of constant acceleration. What is the car's acceleration?
m/s²

Answers

The distance covered by an accelerating object starting from rest is

D = (1/2 of acceleration) x (time²).

In this question,

D = 100 m

time = 3.8 s

100 = (1/2 acceleration) x (3.8s²)

100 = (1/2 a) x (14.44)

100/14.44  =  1/2 a

200/14.44  =  a

a = 13.85 m/s²

If have a custom made telescope with these specifications then what's the focal length of my telescope? (refractor telescope only please)

_Specifications:_
*Objective diameter*: 90mm
*Distance between lenses*: 230mm
*Eyepiece focal length*: 4mm
*Eyepiece size*: 31.7mm

Please respond fast. Also please give a simplified answer for a brainliest answer tag. Thanks!​

Answers

Answer:

i don't know sorry

i know a good website that may help you

it's called https://skyandtelescope.org/observing/telescope-calculator/

Explanation:

Two students have fitted their scooters with the same engine. Student A and his
scooter have a combined mass of 127.5 kg and a maximum acceleration of
2.40 m/s². Student B has a maximum acceleration of 1.70 m/s on her scooter.
Show that the combined mass of student B and her scooter is 120 kg
You may assume that the frictional forces acting on each scooter are negligible.

Answers

The force exerted by student A with his scooter is 306 N and that of student B is 204 N.

Force applied by each student

The force exerted by each student is calculated from Newton's second law of motion.

F = ma

where;

m is mass a is acceleration

F(A) = 127.5 x 2.4

F(A) = 306 N

F(B) = 120 x 1.7

F(B) = 204 N

Thus, the force exerted by student A with his scooter is 306 N and that of student B is 204 N.

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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 tube?

Answers

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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The Volume of a cube depends on the length of its sides.This can be written in function notation as v(s).What is the best interpretation of V(3)=27 Under the section heading "Darwin Develops His Theory", identify 3 things that Darwindetermined are required for evolution to occur. (Look at the example of the giraffe'sevolution under section "Applying Darwin's and Wallace's Theory" for help) Since most data for a given market study is not readily available, analysts must be creative in their use of data that they are able to obtain. The primary source for detailed household demographic information is: Amy and Laura recorded the average gas mileage (MPG) of their vehicles each week for four weeks. What can be concluded about the relationships shown in the graph and table?Amy and Laura recorded the same gas mileage each week.Both Amy and Laura increased their gas mileage in the first two weeks.Amy had greater gas mileage than Laura.Laura had a constant gas mileage in the first four weeks of data.Who runs fastest? When do Andy and Berta cross paths? Who is closest to the 1.5 mile mark after 6 minutes? Find the distance between the point (3, 5) and a line with the equation 5 x - 3 y + 10 = 0 a balance diet is necessary for the maintenance of a sound health?Do you agree this statement 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 q and q2 areseparated by 0.500 m. Particles q2 and q3 areseparated by 0.250 m. What is the net force on q2? The operation caused __________ for many people.a. expenseb. confusionc. anxiety A preschool-age child has just been admitted to the pediatric unit with a diagnosis of bacterial meningitis. The nurse would include which recommendation in the nursing plan? 2/6+5/6 as a whole number Look at this number sentence.( ? + 10 ) + 4 = 7 + ( 10 + 4 ) Which two great lakes are two halves of one body of water?. Question 6(Multiple Choice Worth 2 points)(04.06 MC)Which statement best describes a decrease in biotic potential?O Deer increase their rate of reproduction on an island.Rabbit population increases in a grassland biome.O Lions have larger broods after successful hunting.O Seals have more offspring when food is plentiful. A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2(your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). What is the expected value of playingthe game if you lose your bet 45% of the time?A. -$1.00B. -$0.25C.-$0.15D. $0.15 In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period. PLS HELP ME One job of a paragraph is to:OA. make it easier for readers to understand what they read.B. make writing less organized.OC. confuse readers.OD. show how numbers change over time. What is a quantum of light energy called?O A. A photonOB. A frequencyO C. A protonO D. An electron Question 4(Multiple Choice Worth 4 points)Which of the following is a rational number?1. 2. 3, 5O1O 2O35 Fitz Inc., a pharmaceutical company, reported net income for fiscal 2016 of $5,772 million, retained earnings at the start of the year of $57,594 million and dividends of $5,958 million, and other transactions with shareholders that increased retained earnings during the year by $11 million. If there were no additional transactions during the year that affected retained earnings, what was the balance of retained earnings at the end of the year Which of the following equations would correspond to a conic section formed when a plane intersects a cone parallel to the base? x2 + y2 = 32 x squared over 2 squared plus y squared over 3 squared equals 1 x2 = 8y x squared over 2 squared minus y squared over 3 squared equals 1