What is the maximum wavelength of light needed to eject electrons from a metal whose work function is 4.48 eV? What is the frequency of the light?

Answers

Answer 1

Given,

The work function of the metal, W=4.48 eV

The work function is given by the formula,

\(W=h\upsilon_0\)

Where ν₀ is the threshold frequency of the metal.

But the frequency is related to wavelength as,

\(\upsilon=\frac{c}{\lambda}\)

Where c is the speed of light and λ is the wavelength.

Thus the work function will be,

\(W=\frac{hc}{\lambda_0}\)

Where λ₀ is the maximum wavelength needed to eject the electron from the given metal.

On substituting the known values in the above equation,

\(\begin{gathered} 4.48\times1.6\times10^{-19}\text{ J}=\frac{6.63\times10^{-34}\text{ Js}\times3\times10^8\text{ m/s}}{\lambda_0} \\ \Rightarrow\lambda_0=\frac{6.63\times10^{-34}\text{ Js}\times3\times10^8\text{ m/s}}{_{}4.48\times1.6\times10^{-19}\text{ J}} \\ =277.48\times10^{-9}\text{ m} \end{gathered}\)

Thus the maximum wavelength of the light required is 277.48 nm.

The frequency of the light is,

\(\begin{gathered} \upsilon_0=\frac{c}{\lambda_0} \\ =\frac{3\times10^8}{277.48\times10^{-9}} \\ =1.08\times10^{15}\text{ Hz} \end{gathered}\)

Thus the frequency of the required light is 1.08×10¹⁵ Hz.


Related Questions

Find the component form of the vector that represents the velocity of a plane descending at a speed of 100mph at an angle of 30° below the horizontal, as shown
below.
30

Answers

The horizontal and vertical component of the velocity of the plane is 50(√3) mph and 50mph.

Velocity is defined as the ratio of displacement and time and the unit of velocity is m/s. The velocity is the vector quantity. The horizontal and vertical component is given as:

Horizontal component (x) = V cosθ

Vertical component(y) = V sinθ

From the given:

velocity fo the plane = 100mph

angle (θ) = 30°

The horizontal component (x) = V cosθ = 100×cos(30°) = 100 × √3/2

                                             = 50 √3

The vertical component (y) = V sin(θ) = 100×sin(30°) = 100×1/2

                                                  = 50

Thus, the horizontal and vertical components of the plane are (50√3,50) mph.

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Which correctly describes a different evolutionary stage of a star like the sun?

A) it’s forms from a cold, dusty molecular cloud

B) During a yellow giant stage, it burns carbon in its core and helium in the shell surrounding the core.

C) After leaving the main sequence, its core is stable due to electron degeneracy

D) It becomes a white dwarf after exploding as a supernova

E)During a red giant stage, its core contracts and cools

Answers

Answer:

Explanation:

The correct option that describes a different evolutionary stage of a star like the sun is:

D) It becomes a white dwarf after exploding as a supernova

This is because a star like the sun does not have enough mass to undergo a supernova explosion. After it has exhausted all the fuel in its core, it will evolve into a red giant and then a planetary nebula, leaving behind a small, hot, dense remnant known as a white dwarf. Supernovae occur in much more massive stars that have cores that can collapse to form a neutron star or black hole.

A rigid body is rotating with constant angular speed 3 radians per second about a fixed axis through the points A. (4, 1, 1), B. (2, -1; 0), distances being measured in centimeters. The rotation is in the left-handed sense relative to the direction AB
1, Determine the unit vector pointing in the direction BA.
2, What is the angular velocity () of the of the body?
3, Write the position vector of point P: P .
Find the instantaneous velocity of particle P [hint v = w×r)
4, What is meant by left-handed rotation (left-handed coordinate system)?
5, Write the position vectors of points A and B The rotation axis AB has direction BA. Write the direction BA in terms of the components given above. ​

Answers

1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

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How many joules of work are done on a box when a force of 25 N pushes it 3 m?

Answers

Answer:

75joules

Explanation:

Workdone = force x distance

workdone = 25 x 3

workdone = 75joules

force is measured by: a) ammeter b) spring balance c) two pan balance d) ruler​

Answers

Answer:

force can also be considered as weight so

Spring balance is used for measuring Force.

Explanation:

Is measured by Spring balance.

Why is the Falcon 9 rocket so important in today's space exploration world?


It's the first rocket to have been built by robots, saving money for labor costs.


Carbon fiber is used on the outside, making it much more lightweight, requiring less fuel to launch it.


It was invented with the ability to recharge itself by using solar panels.


It's a reusable rocket and has saved money by being reused over 60 times already.

Answers

The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

Why is the Falcon 9 rocket so important in today's space exploration world?

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

ReusabilityCost-effectivenessAdvancements in rocket technologyPayload capacity and versatilityInnovation and competition

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

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Help me please with both questions?

Help me please with both questions?

Answers

Answer:

question #1 is A

Question #2 is C

Explanation:

The answer for number 1 is A

George burnt his fingertips so badly that he can't feel anything with them anymore.
Which part of his skin must have been damaged?

O papillary layer

Hypodermis

hyperdemis

subcutaneous layer

Answers

the part tht is mostly damaged is papillary

George burnt his fingertips so badly that he can't feel anything with them anymore, then the papillary layer part of his skin must have been damaged, therefore the correct answer is option A.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

As given in the problem George burnt his fingertips so badly that he can't feel anything with them anymore.

Option A is the appropriate response since George must have injured the papillary layer of his skin if his fingertips were burned so badly that he can no longer feel anything with them.

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PLEASE HELP SOON! For the circuit below , the battery has 4.2V calculate power giving and power receiving

PLEASE HELP SOON! For the circuit below , the battery has 4.2V calculate power giving and power receiving

Answers

For this circuit, the voltage is 4.2 V. then power given is 0.9 W and receiving across 55Ω resistance is 0.07 W and that of 30Ω resistance is 0.14 W. Resistor are connected in parallel, its equvalent resistance is R₁R₂/R₁+R₂.

Both resistor are connected in parallel hence their equivalent resistance in parallel combination is given as,

R = 55*30/(55+30)

R = 19.4 Ω

Power given to the circuit is,

P = V²/R = 4.2/19.4 = 0.9 W

Receiving power taken from 55Ω resistor

P = V²/R = 4.2/55 = 0.07 W

Receiving power taken from 30Ω resistor

P = V²/R = 4.2/30 = 0.14 W

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pick the correct answer there are three correct answers

pick the correct answer there are three correct answers
pick the correct answer there are three correct answers

Answers

A, and D are two correct answers im not sure about the third sorry

1.
A car is driving on a circular track tha has a diameter of 6km and
traveled across the black shaded region in 1 hour. What will the
cars velocity be in meters/seconds. 1 km= 1000 meters
6 km
V=²& D=vt T = ²

Answers

The velocity of the car moving in the circular path is determined as 1.67 m/s.

What is linear velocity?

Linear velocity is the measure of the rate of change of displacement with respect to time when the object moves along a straight path.

v = d/t

where;

d is the distance of the objectt is time of motion

v = (6 x 1000 m) / (1 x 3600 s)

v = 1.67 m/s

Thus, the velocity of the car moving in the circular path is determined as 1.67 m/s.

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A particle with mass
m = 3.80 kg
accelerates according to
a = (−3.40i + 1.70j) m/s2.
(a) What is the net force acting on the particle? (Express your answer in vector form.)

(b) What is the magnitude of this force?

Answers

The net force acting on the particle would be and the magnitude of the force would be -12.92i + 6.49j and the magnitude of the force would be 14.46 Newtons.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The net force on the particle = mass of the particle × acceleration

                                                =3.80*(−3.40i + 1.70j)

                                                = -12.92i + 6.49j

Thus, the magnitude of the net force on the particle would be 14.46 Newtons.

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an ocean moves at 22.9 m/s and has a wavelength of 27.0. with what frequency do the waves pass you?

Answers

\(\begin{gathered} v=22.9\text{ m/s} \\ \lambda=27m \\ f=? \\ v=\lambda f \\ f=\frac{v}{\lambda} \\ f=\frac{22.9\text{ m/s}}{27m} \\ f=0.848\text{ Hz} \\ The\text{ frequency is 0.848Hz} \end{gathered}\)

a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction​

Answers

The temperature gradient in the flow of direction is 294525 W.

What is Temperature gradient?

A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.

Q= T/( L/ KA)

Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)

   = 294525 W

Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.

Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.

Therefore, The temperature gradient in the flow of direction is 294525 W.

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A motorcycle moving 18.8 m/s has
57800 J of KE. What is its mass?

Answers

Answer:

m = 327.07 kg

Explanation:

Given that,

Kinetic energy of a motorcycle, E = 57800 J

Velocity of the motorcycle, v = 18.8 m/s

We need to find the mass of the motorcycle. The kinetic energy of an object is given by :

\(E=\dfrac{1}{2}mv^2\)

m is mass

\(m=\dfrac{2E}{v^2}\\\\m=\dfrac{2\times 57800 }{(18.8)^2}\\\\m=327.07\ kg\)

So, the mass of the motorcycle is 327.07 kg.

help me pls
An object accelerates if it:

a.) changes the direction of its velocity but not the magnitude

b.)changes the magnitude of the velocity but not the direction

c.)changes its speed

d.) all of the above

e.) none of the above

Answers

Answer:

D

Explanation:

A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway. Calculate: a) Total distance and total displacement (in mile and meter) b) Average speed and Average velocity (in mile/hr and m/s​

Answers

The total distance covered by the car is 300 miles.

The total displacement covered by the car is zero.

The average speed of the car is 17.88 m/s.

The average velocity of the car is also zero.

Distance between the points A and B, d = 150 miles

Time taken by the car to travel from A to B, t₁ = 3 hours

Time taken by the car to travel from B to A, t₂ = 5 hours

a) Given that the car travelled from A to B and then back to A.

Therefore, the total distance covered by the car is,

Distance = 2 x d

Distance = 2 x 150

Distance = 300 miles

Since the car is travelling from A to B and then returning back to the initial point A, the total displacement covered by the car is zero.

b) The speed with which the car travelled from A to B is,

v₁ = d/t₁

v₁ = 150/3

v₁ = 50 miles/hr

v₁ = 22.35 m/s

The speed with which the car travelled from B to A is,

v₂ = d/t₂

v₂ = 150/5

v₂ = 30 miles/hr

v₂ = 13.41 m/s

Therefore, the average speed of the car is,

v = (v₁ + v₂)/2

v = (22.35 + 13.41)/2

v = 17.88 m/s

As, the total displacement of the car is zero, the average velocity of the car is also zero.

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an object of mass 5 kg is raised above the ground calculate work done on the object.​

Answers

Answer:

work done on the body is the product of the 3 quantities provided

mass in kilogram, macceleration due to gravity in meters per seconds, gdistance or height in meters, h

Explanation:

Raising the object, the work done will be the potential energy.

potential energy equals mgh.

Get the remaining quantities and multiply it out g is usually 10m/s

Does anybody know how to solve this? Thanks!!
The position x of a bowling ball rolling on a smooth floor as a function of time t is given by: x(t)=v0t+x0 , where v0=2.5m/s and x0=−5.0m . The polynomial relationship between position and time for the bowling ball is _______________.

exponential
inverse
linear
cubic
quadratic

Answers

The polynomial relationship between position and time for the bowling ball is linear.

What is a linear relationship between two variables?

A linear relationship between two variables is a term used to describe a straight-line relationship between the two variables.

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

From the equation of linear relationship between two variable, the highest power of x is one.

The given equation for position and time;

x(t) = vot + xo

From this given equation, the highest power of t is one, hence it is called linear relationship.

Thus, the polynomial relationship between position and time for the bowling ball is linear.

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When you apply increasing thermal energy to a certain material, it reaches a temperature of 50 degrees C. However, when it reaches this temperature, applying more increasing thermal energy does not cause the temperature to rise. Which of the following best explains what is happening?


1. The system is having its heat leaking out that is not going into the material

2. The material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature

3. The material is made of a heat resistant alloy that is preventing the thermal energy from being fully absorbed

4. The material has already absorbed enough thermal energy and cannot absorb any more

Answers

The material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature.

What is latent heat?

Latent heat is defined as the thermal energy absorbed or released during a phase change of a substance.

Latent heat can also be explained as the energy in hidden form which is supplied or extracted to change the state of a substance without changing its temperature.

From the above explanation, we can conclude that, the material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature.

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You place a book of mass 5.00 kg against a vertical wall. You apply a constant force F⃗ to the book, where F = 96.0 N and the force is at angle of 60.0∘ above the horizontal. The coefficient of kinetic friction between the book and the wall is 0.300.
If the book is initially at rest, what is its speed after it has traveled 0.400 m up the wall.

Answers

The speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.

What is the work-energy theorem?

From the work-energy theorem, it is stated that the net work done is equal to the change in the kinetic energy.

Given data;

Mass of book,m =5.00

Force,F = 96.0 N

Θ is the angle above the horizontal =  60°

The coefficient of kinetic friction between the book and the wall is μ =0.300.

R is the normal reaction

W₁ = Fd cosΘ

W₁=(96.0 N) (0.4 m) in 60°

W₁= 33.25 J

Work done by gravity is,

W₂ = mgdcos180°

W₂ = (5.00 kg) (9.81 m/s²)(0.4 m) cos180°

W₂ = -19.6J

The Normal force on the book by the wall is,

N = FcosΘ

N = (96 N) cos 60°

N=48 J

Work done by friction is;

W₃=μkRdcos180°

W₃=0.3)(48 J)(0.4 m) cos180°

W₃ =-5.76 J

The net work done is;

W =W₁+W₂+W₃

W=33.25-19.6-5.76

W=7.89 N

From the work-energy theorem, we have

W = ΔK

\(\rm W = \frac{1}{2} mv^2 - 0\)

The speed is;

\(\rm v = \sqrt \frac{2 W}{m} \\\ v = \sqrt{\frac{2 \times 7.89} {5.00}}\\\\ v = 1.77 \ m/sec\)

Hence, the speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.

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HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!

HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!

Answers

D
Because the rest of the answers are illogical

Which choice is the best description of a well-defined, testable question for a science experiment?

The scientist has created questions for people to answer after they read about the science investigation.

The question is clearly stated, the question can be tested in an experiment, and the results can be measured.

The words are all defined in a glossary and a test can be given to see what students learned.

An experiment can be completed to help define the meaning of scientific words and phrases.

Answers

The best description of a well-designed testable question is "The question is clearly stated, the question can be tested in an experiment, and the results can be measured".

What is a scientific question?

This type of question is the one that focuses on facts and aims at testing a hypothesis.

What are the features of a scientific question?

Some features include:

The question is clear as it lets the reader know the phenomenon being studied.The question can be tested which means it is based on a phenomenon that can be studied through exact instruments.The results can be measured, which means the question leads to evidence.

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Answer:

b

Explanation:

With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Which is the right answer?

A. Half volley

B. Volley

C. Backhand stroke

D.forehand stroke

Answers

Answer:

C. backhand stroke

Explanation:

Your hand will be rotated counterclockwise about a fourth of the racquet handle during this stroke. The correct response is to backhand stroke. Option C is correct.

What is a backhand stroke?

When playing tennis, a backhand is a stroke in which the player's torso is crossed and the ball is struck with the palm towards the opponent's chest and the back of the hand traveling toward them.

A backhand in tennis can be made with one or both hands.

With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Backhand stroke is the right answer.

Hence. option C is correct.

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5. Graph A below plots a race car's speed for 5 seconds. The car's rate of acceleration is 6 m/s^2

6. Graph B below plots the same car's speed for a different
5-second interval. The car's acceleration during this interval is 12 m/s^2


5. Graph A below plots a race car's speed for 5 seconds. The car's rate of acceleration is 6 m/s^26.

Answers

Answer:

The answer is below

Explanation:

We are to check if the statement is true of false. If it is false, we correct the statement.

Solution:

Acceleration is the time rate of change of velocity. It is the ratio of the change in velocity to the change in time. The acceleration can be gotten from a velocity time graph by finding the slope of the graph.

The x coordinate represent the time and the y coordinate velocity.

5) Graph A passes through the point (0, 0) and (4, 24). Therefore the acceleration (slope) is:

Acceleration = \(\frac{24-0}{4-0}=6\ m/s^2\)

This is correct.

6) Graph B is a straight line of 12 m/s. It passes through (0, 12) and (4, 12). Hence:

Acceleration = \(\frac{12-12}{4-0}=0\ m/s^2\)

This is false.

Therefore the acceleration of graph B is 0 m/s².

The same type of engine is placed in 2 different planes

Answers

Answer:

you didnt finish the question but im guessing the answer is matters what each airplane is built out of even though they have the same engine they will perfrom diffrently depending on the material their made out of.

5. Which of the following correctly describes the above situation?
6. The final velocity of the two cars after they hit and stick together is:

5. Which of the following correctly describes the above situation?6. The final velocity of the two cars

Answers

In this case, the magnitude of the momentum of vehicle 2 is greater than the vehicle 1.

What is momentum?

In Newtonian mechanics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity.

The kilogramme metre per second (kg m/s), or newton-second in the International System of Units (SI), is the unit used to measure momentum.

The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Although momentum varies depending on the frame of reference, it is a conserved quantity in any inertial frame, which means that if a closed system is not impacted by outside forces.

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Which occupies more volume: 3m^3, or 100 ft^3?

Answers

Answer:

3 m³ will occupy more volume.

Explanation:

We need to tell which occupies more volume : 3m³ or 100 ft³.

To compare, we first make the units same.

We know that,

1 m = 3.28 feet

1 m³ = 35.31 foot³

3 m³ = 105.94 foot³

Now, we can compare 105.94 foot³ and 100 ft³. It can be clear that 3 m³ will occupies more volume.

A test charge of +3 micro coulomb is at a point p where an external electric field is directed to the right and has a magnitude of 4×10⁶ N/C.if the test charge is replaced with another test charge of -3 micro coulomb, what happens to the external electric field at p?

Answers

At p. there would be a change in the direction of the electric field.

What happens to the external electric field at p?

We know that the electric field has to do with the region in space where the influence of an electric charge is felt. Now it is clear that the direction of the electric field is going to depend on the kind of charge that is placed as that point.

The electric lines of force shows the direction of the electric field and as the electric field is changing, the direction of it would also be changing also. Hence the dierction of the electric field would then have to change.

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150 ml
Water at 22 °C
Iron at
125 °C

What is a possible
temperature of the
system after the iron
has been added to
the beaker?
A. 147 °C
B. 52°C
C. 125 °C
D. 19 °C

Answers

The possible temperature of the system after the iron has been added to the beaker is 52°C.

option B.

What is equilibrium temperature?

A system is said to be in thermal equilibrium when there is no temperature difference between system and surroundings. Temperature, as you know, measures how hot or cold a body is with respect to a standard object.

When a system ( cold and hot body) reaches thermal equilibrium or equilibrium temperature, the heat lost by the hot body will be equal to the heat gained by the cold body.

heat gained by the water = heat lost by the iron

The equilibrium temperature will be greater than the initial temperature of the cold body but less than the final temperature of the hot.

Thus, the only possible answer for the equilibrium temperature of mixture is 52⁰C.

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2x + 9)(x + 1) what is it Explain the difference between plurality and majority in terms of choosing a candidate for a primary an inference attack based on source, destination, and volume of messages is called 1/3 + 4/6 +6/18 = ?pls help5th grade math In which compass direction will the storm center (Low) most likely move over the next few days if it follows a typical storm track? The january stock option contracts of a company assigned to cycle 3 have just expired. which contracts will commence trading on the cboe? a. february b. march c. july d. september What is the final step in cleaning and sanitizing a prep table?Washing the surfaceRinsing the surfaceSanitizing the surfaceO Allowing the surface to air-dry An element that is unable to create a ion and therefore always has a charge of 0 is most likely a member of a family called Writing 1986 year in words What theorem can we prove by rotating the plane 180 degrees about point O? If a function f is periodic with period p, then f(t +p) = _____ for every t. The trigonometric functions y = sin x and y = cos x are periodic, with period _____ and amplitude _____. Sketch a graph of each function on the interval [0,2 \pi].[0,2]. The top two U.S. manufacturers had combined sales of over $950 million in 2013. Ice cream is so popular that in1984, President Ronald Reagan designated July as National Ice Cream Month. That's good timing, because ice creamsales soar during the heat of summer.Which is the most effective topic sentence for the paragraph?Chocolate is the most tweeted about ice cream flavor.O I scream, you scream, we all scream for ice cream.O Ice cream is big business in America.The International Dairy Foods Association reports that vanilla is the biggest selling ice cream flavor for the tenthyear in a row. WILL GIVE BRAINLIEST TO WHOEVER CAN DO ALL OF THE FOLLOWING:-Write an equation of the line that passes through each pair of points. -Say where the line that passes through both pair of points is located at - Explain how you completed the questionAny answer that doesn't include these 3 things will get reported as incompleteYou have 5 hours after the question is posted to complete it.GOOD LUCK!!!! Since the elderly population in the United States is expected to grow rapidly in coming decades, should you invest in companies that make the products that the elderly will need Was john brown a hero or a villan? explain Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions. Required:a. Calculate the z-score for Todd's test grade.b. Calculate the z-score for lan's test grade.c. Which person did relatively better? what was the cause of perturbations discovered in the orbit of the planet uranus? what later discovery did this lead to? The population of a town, y, is 15,000 people and is growing by 1.5% per year.linear or exponential?I believe its exponential and could someone help me write the equation? the last neandertals date to ________ years before present (ybp). in rabbits, black fur (B) is dominant over brown fur(b). Consider the punnett square.Both of the parents in the Punnett square are:blackbrownhomozygous dominanthomozygous recessive