If an object was traveling horizontally off a cliff at 6 m/s for 3 seconds, how long did it take to
hit the ground?

Answers

Answer 1

The time taken by the object to hit the ground is 1.8 seconds.

What do you mean by gravitational force?

The attraction that draws two objects together is known as gravitational force, sometimes referred to as gravity. Every mass-containing object pulls on nearby things gravitationally in a sizable way.

The time it takes for an object to hit the ground after being dropped off a cliff can be calculated using the formula:

t = √(2*d/g)

where t is the time, d is the distance fallen, and g is the acceleration due to gravity.

In this case, we don't know the distance fell, but we can use the horizontal velocity and time of travel to find it:

d = v * t

where v is the velocity (6 m/s), and t is time (3 seconds)

d = 6 * 3 = 18 m

Now we can use the distance fallen to calculate the time it takes to hit the ground:

t = √(2*d/g)

g is approximately 9.8 m/s^2

t = √(2*18/9.8) = √ (3.6) = 1.8 seconds

So, it takes 1.8 seconds for the object to hit the ground after traveling horizontally off a cliff at 6 m/s for 3 seconds.

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Related Questions

What are the most common mutations in SCID?

Answers

A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.

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Mara learns about different types of waves in her science class. What does every type of wave transfer?

Answers

Answer:

energy

Explanation:

A quarterback runs 5 yards backwards and then 15 yards forward.
What is the quarterback's distance traveled?
What is the quarterback's displacement?

Answers

The quarterback also touches the ball on almost every offensive play, and is almost always the offensive player that throws forward passes.

What is the quarterback's?

The quarterback (sometimes abbreviated "QB") is a position in gridiron football, also referred to as the "signal caller" Quarterbacks typically line up directly behind the offensive line and are part of the offensive platoon.

In contemporary American football, the quarterback is typically regarded as the offensive coordinator and is frequently in charge of calling the play in the huddle. The quarterback almost always delivers forward passes for the offence and touches the ball on practically every offensive play.

A sack occurs when the quarterback is beaten behind the line of scrimmage. In contemporary American football, the starting quarterback is typically the offensive coordinator, and his or her accomplishments or shortcomings can have a big impact on the team's performance.

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The offensive player who delivers forward passes almost always is the quarterback, who touches the ball on almost every offensive play as well.

The quarterback's, what is it?

In gridiron football, the quarterback, sometimes known as the "signal caller," is one of the positions. As a member of the offensive platoon, quarterbacks often line up directly behind the offensive line.

The quarterback is frequently in charge of calling the play in the huddle and is generally considered as the offensive coordinator in modern American football. In almost every offensive play, the quarterback touches the ball and almost always completes forward throws for the offense.

The quarterback is tackled behind the line of scrimmage, which results in a sack. Currently, the starting quarterback in American football is Usually, the offensive coordinator, and his or her successes or failures, can have a significant effect on the team's performance.

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What type of energy is a ball rolling down a ramp?

Answers

Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.

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How does the flux of light from an isotropic source depend on the distance r from the source?
A. r 2
B. r -2
C. r -1
D. r 1
E. r 1/2
F. none of the above

Answers

The flux of light from an isotropic source depend on the distance r from the source by  r-2.

What is isotropic source?

An isotropic source is a source of radiation or sound that emits energy in all directions equally. This type of source is usually assumed to have uniform power density in all directions, making it a simplifying assumption when analyzing a system. Examples include a point source in free space, such as a light bulb, or a sound source in a room.

The flux of light from an isotropic source (a source that radiates uniformly in all directions) decreases as the inverse square of the distance from the source. This means that the flux of light from the source decreases according to the equation F = 1/r2, where F is the flux of light, and r is the distance from the source. Therefore, the flux of light from an isotropic source decreases with the distance r from the source according to the equation F = r-2.

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Will day and night on Earth be different if the planet did not rotate?

Answers

yes, they would each last about 6 months
If the Earth did not rotate, one side of the planet would always face the sun, resulting in perpetual daylight on that side, while the other side would always be in darkness. There would be no day-night cycle, making life as we know it impossible

If an EM wave has a wavelength of 400nm,what is its frequency? What kind of wave is it?

Answers

electromagnetic wave 7.5 * 10 14 HZ

Answer:

Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm. Violet light has a wavelength of ~400 nm, and a frequency of ~7.5*1014 Hz.

Explanation:

Which is an example of negative acceleration?
A) a snowboarder who increases speed when traveling downhill
B) a biker who maintains a constant speed through a race
C) a skateboarder who reduces speed when moving up a hill
D) a runner who fluctuates speed by increasing and decreasing speed

Answers

Answer:

A) a snowboarder who increases speed when traveling downhill

A snowboarder who increases speed when traveling downhill will have negative acceleration.

What is acceleration ?

Acceleration is described as the rate of change of velocity with time.

                                                       [tex]a&=\frac{\Delta v}{\Delta t}[/tex]

Here, as the snowboarder is traveling in negative y direction therefore the final velocity will be great than initial velocity with negative sign. It should be noted that velocity and acceleration are vector quantities i.e. depends upon the direction in which they have been applied.

Also negative acceleration is denoted as the situation when the object moves in the direction that is opposite to its direction of velocity.

In the above situation, the force is being applied to travel downhill(speeding up in the negative direction) in the opposite direction which exemplifies negative acceleration.

Thus, option A is the correct answer.

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On a frictionless surface, a 2-kilogram cart moves at a velocity of 3 meters per second west and hits a 4-kilogram cart that is not moving, initially. The two carts stick together and move off at a slower speed to the west. What is this slower speed?


a. 0. 5 meters/second


b. 1 meter/second


c. 1. 5 meters/second


d. 2 meters/second

Answers

Answer:

b

Explanation:

Use law of conservation of momentum

 momentum before = momentum after hit

     2 kg * 3 m/s   = ( 2 + 4) kg * x m/s

      solve for x = 1 m/s

Explain how sound is being produced from this 'Stomp' group.

Answers

Answer:

Sound is produced when an object vibrates, creating a pressure wave. This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. As the particles vibrate, they move nearby particles, transmitting the sound further through the medium. The human ear detects sound waves when vibrating air particles vibrate small parts within the ear.

In many ways, sound waves are similar to light waves. They both originate from a definite source and can be distributed or scattered using various means. Unlike light, sound waves can only travel through a medium, such as air, glass, or metal. This means there’s no sound in space!

Explanation:

If someone is driving 100 miles in 60 minutes then drives 150 miles in 100 minutes west, what is his acceleration rate.

Answers

Answer:

his acceleration rate is -0.00186 m/s²

Explanation:

Given;

initial position of the car, x₀ = 100 miles = 160, 900 m ( 1 mile = 1609 m)

time of motion, t₀ = 60 minutes = 60 mins x 60 s = 3,600 s

final position of the car, x₁ = 150 miles = 241,350 m

time of motion, t₁ = 100 minutes = 100 mins x 60 s = 6,000 s

The initial velocity is calculated as;

u = 160, 900 m / 3,600 s

u = 44.694 m/s

The final velocity is calculated as;

v = 241,350 m / 6,000 s

v = 40.225 m/s

The acceleration is calculated as;

[tex]a = \frac{\Delta V}{\Delta t} = \frac{v- u}{t_1 - t_ 0} = \frac{40.225 - 44.694}{6000-3600} = -0.00186 \ m/s^2\\\\[/tex]

Therefore, his acceleration rate is -0.00186 m/s²

The angular diameter of an object is inversely proportional to its distance from the observer.
True False

Answers

This statement is True, the angular diameter of an object is inversely proportional to its distance from the observer.

Angular diameter is a measure of the apparent size of an object in the sky as seen from a given location. It is the angular distance between two opposite points on the visible surface of the object, usually measured in degrees or arcminutes. Angular diameter can be used to describe the apparent size of both small and large objects, such as planets, stars, galaxies, and clusters.

For example, the angular diameter of the Sun as seen from Earth is approximately 0.5 degrees, while the angular diameter of the Moon is approximately 0.5 degrees. Angular diameter can also be used to measure the apparent size of large-scale structures in the Universe, such as the distance between two galaxies in a galaxy cluster. The angular diameter of a galaxy cluster is typically measured in arcminutes or arcseconds. Angular diameter is a useful measure of the size of an object since it is independent of the distance between the observer and the object.

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What is the electric field at a point 0.200 m to the right of a +1.50*10^-8 C charge? Include a + or - sign to indicate the direction of the field (Unit = N/C)​

Answers

Answer: 3,370 N/C

Explanation:

acellus

I pushed a 50kg box across the floor using 100N of force. If I moved the box 10 meters in 20
seconds, what was my POWER?

Answers

Answer:

70

Explanation:

you do 10+20=30

100-30=70

What is the linear diameter (in meters) of an object that has an angular diameter of 25 arcseconds and a distance of 65 km

Answers

The linear diameter of an object with an angular diameter of 25 arcseconds and a distance of 65 km will be 0.067 meters.

Linear Diameter = (Angular Diameter ×Distance) / 206264.81.

In this case, the linear diameter would be 0.067 meters.

To put this into context, a linear diameter of 0.067 meters is approximately equal to 6.7 centimeters, or 2.6 inches. To put this another way, it is approximately the size of a large grape. As such, it is incredibly small and would be difficult to see with the  eye.

Therefore the linear diameter of the object is 0.067 meters

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Diana raises a 1000. N piano a distance (Links to an external site.) of 5.00 m using a set of pulleys. She pulls in 20.0 m of rope. How much work was done on the object

Answers

The 5000 N-m work was done on the object.

How is labor done measured?

The formula Work = Force * Distance can be used to compute work. The joule (J) or Newton-meter (N-m) is the SI unit for work. When 1 N of force pushes an item a distance of 1 m, the work done is equal to 1 joule.

What kind of work is an example?

There are several instances of work being done in our daily lives. A student holding a backpack on his back or his shoulder full of books, a horse pulling a plow across the field, a father pushing a supermarket cart in a mall, and many more examples come to mind.

Given:

Load force = 1000 N

Load distance = 5.00 m

Effort distance = 20.0 m

[tex]Work=Load*Load distance[/tex]

[tex]Work=1000*5.00[/tex]

[tex]Work=5000N-m[/tex]

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Can I get some help???

It's timed!!! #stressing

Suppose that a substance in a beaker is heated over a burner in a science lab. Which observation would most likely indicate that a chemical change has occurred in the substance?

A. If the substance is a liquid or solid, an increase in temperature would indicate a chemical change.

B. If the substance is a liquid, a change of some of the liquid to gaseous form would indicate a chemical change.

C. If the substance is a solid, a change of some of the solid to liquid form would indicate a chemical change.

D. If the substance is a liquid or solid, production of an odor would indicate a chemical change.

Answers

Explanation:

D. If the substance is a liquid or solid, production of an odor would indicate a chemical change.

An astronaut (86 kg) on a spacewalk (outside of the shuttle) throws Space Cat (4.8
kg) at a speed of 25 m/s, relative to the shuttle, at an angle of 40 degrees above horizontal
away from himself. What is the speed of the astronaut after launching our feline
superhero?

Answers

The speed of the astronaut after launching our feline superhero is 1.4 m/s.

What is the speed of the astronaut?

The speed of the astronaut is determined from the principle of conservation of linear momentum.

Pi = Pf

where;

Pi is the momentum of the astronautPf is the momentum of the cat

86vₓ = 4.8 x (25 cos40)

86vₓ = 91.9

vₓ = 91.9 / 86

vₓ = 1.07 m/s

The vertical component of the speed;

86vy = 4.8 x (25 sin40)

86vy = 77.1

vy = 77.1 / 86

vy = 0.9 m/s

The resultant speed of the astronaut is calculated as;

v = √ ( vₓ² + vy² )

v =  √ ( 1.07² + 0.9² )

v = 1.4 m/s

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A foam cup with negligible specific heat is used as a calorimeter. If you mix 175 g of water at 20.0°C and 125 g of water at 95.0°C, what is the final temperature of the water after it is mixed? Assume no loss of heat to the air or container. (the specific heat of water= 4186 J/Kg.oC)

Answers

Answer:

T = 51.25°C

Explanation:

Applying the law of conservation of energy, we get:

where,

m₁ = mass of cold water = 175 g

m₂ = mass of hot water = 125 g

T = Final temperature of the mixture = ?

Therefore,

[tex](175\ g)(T-20^oC) = (125\ g)(95^oC-T)\\\\T-20^oC = (0.7143)(95^oC-T)\\\\T(1+0.7143) = 20^oC+67.86^oC\\\\T = \frac{87.86^oC}{1.7143}[/tex]

T = 51.25°C

HELP HELP HELP HELP
DONT ANSWER IF YOU DONT KNOW!!!!!!!

Answers

The acceleration in Case A is four times that of Case B.

What is acceleration?

Acceleration is the rate of change of velocity of an object. It is the measure of how quickly an object changes its velocity over time, represented by the equation a = (v-u)/t, where a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time. Acceleration can be either positive or negative; a positive acceleration indicates an increase in velocity while a negative acceleration indicates a decrease in velocity.

This is because the acceleration of an object in uniform circular motion is given by the equation a = v^2/r, where a is the acceleration, v is the speed, and r is the radius of the circle. Because the speed in Case A is half that of Case B, the acceleration will be one-fourth that of Case B. However, because the radius in Case A is two times that of Case B, the acceleration will be four times that of Case B.

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Dina is observing a sample of copper metal after it was removed from a flame. She noticed that the temperature decreased. What conclusions could she draw from this observation?

a-The average kinetic energy decreased.

b-The average kinetic energy remained the same.

c-The motion of the particles increased.

d-The motion of the particles stayed the same.

Answers

Answer:

A. The average kinetic energy decreased.

Explanation:

When an object gains heat, which is a form of energy, the atoms within the object would in turn gain energy in the form of kinetic energy. Similarly, as the temperature of an object decreases, in other words losing heat energy, the atoms within the object would lose kinetic energy as a result.

A tank containing 200 L of hydrogen gas at 0.0 Celsius is kept at 10 kPa. The pressure is raised to 95C, and the volume is decreased to 175L. What is the new pressure of the gas?

Answers

Answer:

The new pressure of the gas is 15.40 kPa.

Explanation:

Gay-Lussac's law indicates that when there is a constant volume, as the temperature increases, the pressure of the gas increases. And when the temperature is decreased, the pressure of the gas decreases. Mathematically this law indicates that the quotient between pressure and temperature is constant:

[tex]\frac{P}{T}=k[/tex]

On the other hand, Boyle's law says that the volume occupied by a certain gaseous mass at constant temperature is inversely proportional to the pressure. This law is expressed mathematically as:

P*V=k

Finally, Charles's law indicates that as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases. Mathematically, this law says that when the amount of gas and pressure are kept constant, the quotient that exists between the volume and the temperature will always have the same value:

[tex]\frac{V}{T}=k[/tex]

Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:

[tex]\frac{P*V}{T}=k[/tex]

Studying an initial state 1 and a final state 2, it is fulfilled:

[tex]\frac{P1*V1}{T1}=\frac{P2*V2}{T2}[/tex]

In this case:

P1= 10 kPaV1= 200 LT1= 0 C= 273 KP2=?V2= 175 LT2= 95 C= 368 K

Replacing:

[tex]\frac{10 kPa*200 L}{273 K}=\frac{P2*175 L}{368 K}[/tex]

Solving:

[tex]P2=\frac{368 K}{175 L} *\frac{10 kPa*200 L}{273 K}[/tex]

P2= 15.40 kPa

The new pressure of the gas is 15.40 kPa.

A short current element dl⃗ = (0.500 mm)j^ carries a current of 4.80 A in the same direction as dl⃗ . Point P is located at r⃗ = (-0.730 m)i^+ (0.390m)k^. Find the magnetic field at P produced by this current element. Enter the x, y, and z components of the magnetic field in Teslas separated by commas.

Answers

Answer:

Magnetic field in Tesla: 1.65*10^−10 T,   0,   3.09*10^−10 T

Explanation:

Given data:

i = 4.8 A ,

dBx = 1.65*10^-10 T

dBy = 0 T

dBz = 3.09 * 10^-10 T

Attached below is the detailed solution

The doctor lands his tardis on a planet whose radius is 1. 2x10^7m the acceleration due to gravity is 18m/s^2. What is the mass of the planet

Answers

The mass of planet is 3.886×10^25 kg. The radius of planet is 1. 2x10^7m.

What is a planet with half the mass's acceleration caused by gravity?

Complete Resolution. If the acceleration caused by gravity on the surface of the earth is given by the formula g, then the acceleration caused by gravity on a planet with a mass half that of the earth and a radius equal to that of the earth is given by the formula g/2. Where G = 6.67 ×10^-11 N m2/kg2 (Newton's gravitational constant).

Is the explanation for the gravitational acceleration independent of mass?

As a result, acceleration due to gravity (a) depends on the gravitational constant (G), the mass of the Earth (M), and the radius of the Earth (R), but not on the mass of the body (m).

Given:

Radius of planet (r) =  1. 2x10^7m

Acceleration due to gravity (g) = 18 m/s^2

The acceleration due to gravity at the surface of the planet is,

[tex]g=G\frac{M}{r^2}[/tex]

Where, G = Universal gravitational constant

[tex]G= 6.67*10^-11N.m^2/kg^2[/tex]

[tex]M=\frac{g*r^2}{G}[/tex]

[tex]M=\frac{18*(1.2*10^7)^2}{6.67*10^-11}[/tex]

M =3.886×10^25 kg

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Rita is using a cane as she takes a walk. She is pushing down on her cane with a force of 400N. Earth's gravity is pulling down on the cane with a force of 15N. The ground is pushing up on the cane with a force of 415N. What is the net force acting on the cane?

Answers

[tex]\large{\colorbox{yellow}{\color{blue}{

Sugar can was a crop that did not grow in most climates.}}}[/tex]

please help me and give an explanation

Answers

Answer:

write: I think that we can only see one side of the moon  because  the  moon rotates and spins on its axis at the same rate that the Moon orbits the Earth.

hope this is wht ur looking for. :)

Explanation:

Draw the phasor for the emf = (170 V) cos ((2pi*60 Hz)t) at t = 60 ms. Tail at the origin.

Answers

Answer:

9798687564=-=-=97858

Explanation:oy 8gyf86 r = 76y

A piece of styrofoam has a charge of 0.002 mC and is placed 0.5 m from a grain of salt with a charge of 0.03 nC. How much electrostatic force is produced?

Answers

Answer:

2.16×10⁻⁶ N

Explanation:

Applying,

F = kqq'/r² (coulomb's Law)....................... Equation 1

Where F = electrostatic force, k = coulomb's constant, q = charge on the styrofoam, q' = charge on the grain of salt, r = distance between the charges.

From the question,

Given: q = 0.002 mC = 2.0×10⁻⁶ C, q' = 0.03 nC = 3.0×10⁻¹¹ C, r = 0.5 m

Constant: k = 8.99×10⁹ Nm²/C²

Substitute these values into equation 1

F = (2.0×10⁻⁶)(3.0×10⁻¹¹)(8.99×10⁹)/0.5²

F = 2.16×10⁻⁶ N

two students are sitting next to each other on chairs with wheels. They push each other and separate in opposite directions. The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s. How fast and in what direction does the other student with a 59-kg mass move?

Answers

The student with a 59-kg mass moves to the right with a velocity of 1.46 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.

The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s.

Let the student with a mass of 59 kg moves to the left with a velocity of v m/s.

As no external force applied,

48 kg × 1.8 m/s + 59 kg × v = 0

v = - 1.8 × (48/59) m/s

= - 1.46 m/s.

Hence, the velocity of the second bay is 1.46 m/s in right direct.

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A golf ball rolls up a hill toward a miniature-golf hole. Assign the direction toward the hole as being positive. a. If the ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s2, what is its velocity after 2.0 s

Answers

The velocity of the ball is 1 m/s which starts with a speed of 2.0 m/s and slows at a constant rate of 0.5 m/s².

According to the data given:

Speed of the ball: 2.0 m/s

Acceleration: 0.50 m/s²

Time is 2.0 s

The ball starts rolling up the hill with a speed of 2m/s (u=2 m/s²) and it decelerates at a constant rate of 0.5 m/s² (a = -0.5 m/s², minus because it decelerates).

The equation for calculating velocity is:

v = u + a x t,  t represents time here

So, ball's velocity after 2 seconds is:

v = 2m/s + (-0.5m/s² x 2s)

v = 2m/s + (-1m/s)

v = 1m/s

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A force of 20 Newtons moves a box 2.0 meters and does 40 N*m of work. How many Joules is this? PLSS HELP TIMED QUESTION WILL GOVE BRAINLIEST which question is not a statistical question?How many vehicles do Boston residents have per household?How much money do Boston residents spend on transportation every day?How many Boston residents use public transportation?How many times per month do Boston residents use public transportation?How long does it take for Boston residents to travel to work? . The majority of the names of sports and sporting equipment are masculine in Spanish. Can you find the feminine word below?Equipocanchaguante To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up atriangular configuration as show in the diagram. The distance from Location A to Location B is 97meters. The measures of the angles at A and B are 46 and 103 . What is the distance from theedge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of ameter.ABC Which two statements correctly describe transmutation? O A. The parent and daughter elements are different. B. The atomic masses of the parent and daughter elements are the same. c. Neither the number of atoms nor the number of nucleons is conserved. D. The number of nucleons is conserved. Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g. The ________ is equal to the square root of the systematic variance divided by the total variance.A.CovarianceB.Correlation coefficientC.Standard deviationD.Reward-to-variability ratioE.Regression coefficien Which of the following themes is best represented by Antigones refusal to adhere to Creons ruling regarding the burial of Polynieces?family vs. stateunconditional loverevengeresurrection of the soul Which of the following would be a type of court case heard at the state level? A. any case about traffic violations B. legal matters where child custody is a concern C. cases that have been appealed in lower courts D. all murder cases in Pennsylvania What does Lanyon's letter reveal? PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which sentence best states the central idea of the first paragraph?A Life in New York was teetering between old and new.B People once traveled mostly by horse, carriage, and ship. New engineering feats were being accomplished in the 1800s.D People crossed the East River by ferry-boat, night and day. why filipino students ranked last in reading comprehension survey how effective were the 13th 14th and 15th amendments for the equality for African Americans in the south For automobile safety, the maximum slope that a highway can have is 6%, or 0.06. A surveyormeasures the angle from one edge of the ravine to the other and determines that your bridgeshould have a slope of 0.06.You need to find the length of your bridge if it has a slope of 0.06. This will tell you how muchpavement is needed for the bridge deck4. Use the definition of slope to calculate the exact rise of the bridge, y (3 points: 2 points forwork, 1 point for the solution)5. How long is the deck of the bridge? Show how you calculated r. (3 points: 2 points for work, 1point for the solution) Who did Lenin warn other Communists about? Why did he do that? Can you visit Japanese internment camps? The drama club members want to buy 862 bags of popcorn to serve during the intermission of their play. If popcorn comes in cases of 24 bags, what is the minimum number of cases that they need? FIRST TO ANSWER GETS BRAINLIEST!! Melanies bank account balance is . She needs to pay $55 to her cell phone carrier and $80 to the landscaper. She also expects $250 from her sister to be added to her account.(a) Write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister. (b) What is Melanies bank account balance after paying her bills and receiving money? Show any necessary work. Answer in a complete sentence.