The stemplot below shows the heights (in inches) of students in a clas
5
25569
2477
6
7 01
Which of the following is a height of a student in the class?
OA. 69 inches
OB. 47 inches
O C. 77 inches
OD. 70 inches

Answers

Answer 1

D. The height of a student in the class from the given data is 70.

What is stem plot?

A stem plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits).

Heights of the students in the class

5, 25, 56, 92, 47, 76, 70, 1

Thus, the height of a student in the class from the given data is 70.

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Related Questions

The n-h bond in the ammonium ion, nh 4, is formed by the overlap of what two orbitals? sp2-s sp3-sp2 sp3-sp3 sp2-sp2 sp3-s

Answers

sp3-s

In the ammonium ion , 2s and 2p orbitals create four sp3 hybrid orbitals. Three form covalent bonds with hydrogen. The fourth sp3 orbital has a non bonding lone pair of electrons, which can create ammonium ion.

Amonium Ion is NH4+1Ammonium Ion is called Alkaline AirAmmonium Ion is a olourless gas with a strong pungent odor and very soluble in water and ether. it is a polar compoundAmmonium Ion has a  strong irritating action on the mucous membranes of the eyes, nose, and throat.If ammonium is produced then a pungent smelling gas is produced, turns damp red litmus blue during lab test.

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The scatter plot for a set of x and y values shows the data points clustered in a nearly perfect circle. for these data, what is the most likely value for the pearson correlation?

Answers

Answer is Zero.

By multiplying the standard deviation of one variable (x) by the standard deviation of the other variable, the Pearson correlation coefficient, denoted by the symbol r, is calculated.

A scatter plot diagram is a graphic representation of data where these two variables are simultaneously observed.

The two variables x and y grow in x when y increases, which is referred to as having a positive slope in a positive correlation.

On the other hand, the correlation between x and y is said to be negative and the accompanying regression line has a negative slope when there is an increase in x and a drop in y. On rare occasions, x and y may not seem to be related. Accordingly, the scatter plot diagram's data typically form a nearly perfect circle and are considered to have zero correlation.

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by what percentage do the transferred electrons change the mass of the penny? (express your result as a positive percentage for an increase, negative for a decrease.)

Answers

The mass of the coin will decrease after the electrons are transferred and it will decrease by a percentage of -

[- (n x 9.1 x 10⁻³¹) / m] x 100 

We have a Penny (Coin) from which some electrons are transferred

We have to determine by what percentage do the transferred electrons change the mass of the penny.

What is Charge?

The sufficiency or deficiency of electrons leads to the development of charge.

According to the question -

Assume the mass of penny when no electrons are transferred is m kg.

Now, suppose you rubbed the coin against your hand and the coin lost some of its electrons. Let this number be n. Now, the mass of electron is 9.1 × [tex]10^{-31}[/tex] kilograms.

The total mass in kilograms lost will be -  

(n x 9.1 × 10⁻³¹) Kg

Therefore - the total mass of coin after loosing electrons will be →

m - (n x 9.1 × 10⁻³¹ ) Kg

There will be decrease in the mass of the penny. The amount of decrease in mass will be → final mass - initial mass =

m - (n x 9.1 × [tex]10^{-31}[/tex]) - m = - (n x 9.1 × [tex]10^{-31}[/tex]).

This negative sign indicates that the mass has decreased.

Hence, the mass of the coin after transferring the electrons will decrease and it will decrease by percentage of →

[- (n x 9.1 x 10⁻³¹)/m] x 100    

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the discovery of exoplanets has provided strong validation for the nebular theory, but it also forced scientists to recognize that the theory was incomplete (as it stood before the exoplanet discoveries).which idea below was added to the theory after the discovery that some massive planets orbit very close to their stars?

Answers

Planets can migrate inward or outward from the orbits on which they originally formed.

How does nebular theory explain some observed features of the present-day solar system?

The best-known theory regarding how the solar system formed is the nebular hypothesis. According to this, the solar system was mostly composed of vast nebulae, which are clouds of gas and dust. Due to the ionised gases' powerful electromagnetic forces, the nebula gradually began to compress and begin producing masses that gravitationally attracted one another. According to the Nebular theory, the solar system's sun is a protostar produced by the core mass that was subjected to the greatest forces. According to nebular theory, the planets in the solar system rotated as a result of the nebula's continuous rotation.

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a baseball is thrown vertically upwards into the air (neglect air resistance) and returns to the starting point. true the initial speed and final speed are equal. true the initial velocity and final velocity are equal false the average speed is zero. true the average acceleration is zero. true the total displacement is zero. true the average velocity is zero.

Answers

When the baseball is thrown vertically upwards into the air and returns to the starting point,

The average acceleration is not zero

The Initial and final speed are equal

The initial and final velocities are equal

The average speed is not zero

The total displacement is zero

The average velocity is zero.

Define speed vs Velocity

Speed is the temporal speed at which an object moves along a path while velocity is the speed and direction of movement of an object. The mathematical calculation of speed is relatively simple, calculating the average speed of an object by dividing the distance traveled by the time it takes the object to travel the distance. Velocity, on the other hand, is mathematically more complicated and can be calculated in different ways, depending on the available information about the movement of the object. In its simplest form, the average velocity is calculated by dividing the change in position by the change over time.

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Sometimes scientists gather information that contradicts accepted theories or explanations. if the new information is replicated many times, the accepted theory that it contradicts will often be updated or modified to reflect the new information. based on this, it can be determined that scientific knowledge is durable in part because a. new information on accepted theories is never discovered. b. experiments are never performed more than once. c. scientists ignore information that contradicts accepted theories. d. it is open to change as new information is learned.

Answers

Scientists occasionally gather data that deviates from conventional ideas or interpretations. The widely held idea that the new information contradicts will frequently be revised or changed to take into account the new information if it is repeatedly verified.

Empirical evidence is the foundation of scientific knowledge. It is strong and lasting since it is the end product of all the prior study and testing that was done. But science also acknowledges that all of this information is a product of human endeavor and that it may contain numerous errors. Therefore, once a new idea is discovered and repeatedly confirmed, scientific knowledge is adaptable enough to take it into account and evolve.

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The temperature of an ideal monatomic gas rises by 8.0 k. what is the change in the internal energy of 1 mol of the gas at constant volume?

Answers

The change in the internal energy of 1 mol of the gas at constant volume is 100J

What is internal energy?

The energy contained within a thermodynamic system is referred to as its internal energy. Internal energy is constant in an isolated system. It is the energy required to build or prepare the system in the internal state that it is in at the time.

The kinetic energy of individual particles within the system is included, but not the kinetic energy of motion of the system as a whole. It records the system's energy gains and losses that result from modifications to its internal state. It is impossible to directly quantify internal energy. It is determined by comparing the difference to a conventional state-defined reference zero.

We know that, change in internal energy at constant volume is given by

[tex]dE_{int}[/tex] = n × Cv × dT

Here, n = no. of moles

       Cv = molar heat capacity

       dT = temperature difference

Applying the equation on the question, we get

    [tex]dE_{int}[/tex] = 1 mol × 12.47 J/mol k × 8k

              = 99.76 J ≈ 100J

Hence, the change in internal energy during the process is 100 J

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What is the term for the property of sound that gives instruments and voices their unique tone color?

Answers

The term for the property of sound that gives instruments and voices their unique tone color is timbre.

different names for timbre include tone colour and tone first-rate.

the arena is home to a extensive form of musical units.

every tool differs from every other tool by having a unique sound or tone coloration.

A musical tool's awesome sound pleasant that sets it apart from other gadgets is called the tone coloration or timbre and is unrelated to pitch, rhythm, or quantity.

The definition of tone colour and tone first-rate, which can be often used interchangeably, are fairly similar.

The intrinsic sound features of any device that satisfactory characterise the tone colour in tune are known as tone best.

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Suppose a star glows most brightly at wavelength 625 nm. what is its temperature? express your answer in kelvins and round to the nearest whole number.

Answers

The temperature of the star will be equal to 4630000 K.

What is temperature?

Temperature is defined as the physical parameter used to differentiate hotness and coldness. The temperature is calculated in kelvin, Fahrenheit, or degree Celcius.

According to Wien's displacement law, a star's temperature and peak wavelength are related:

T = ( b / λ )

Where,

T is the absolute temperature at the star's surface

b = 2.898 x 10 ⁻³ is Wien's displacement constant

λ = 625 x 10⁻⁹ is the peak wavelength

Substituting the values in the equation.

T = ( b / λ )

T = ( 2.898 x 10 ⁻³ ) / (  625 x 10⁻⁹ )

T = 4630000 K

Therefore, the temperature of the star will be equal to 4630000 K.

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Use physics to find the magnitude (actual value) of the electric field at thelocation of the yellow dot.

Answers

The Magnitude of the electric field intensity at the location of yellow dot will be -

E = Q/4πε₀Kr²

We have a Yellow dot situated at distance of r meters from the charge.

We have to find the magnitude of Electric field at this Yellow dot.

What is Electric Field of a Charge?

The electric field of a charge is the region around the charge in which the influence of charge's electrostatic force can be felt or measured.

According to the question -

Assume that the Yellow dot is at distance 'r' meters apart from the Point charged particle Q. Now, the Electric field intensity at the yellow dot distanced 'r' meters apart will be -

E = Q/4πε₀Kr²

The above formula will give the intensity at the yellow dot. Since the source charge is positive, therefore the direction of the electric field will be away from the charge.

Hence, the Magnitude of the electric field intensity at the location of yellow dot will be -

E = Q/4πε₀Kr²

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calculate a. how long it took for king kong to fall straight down from the top of the empire state building (380 m) and b. his velocity just before landing.

Answers

(a) King kong will fall straight from the top of the empire state building in 8.81 s.

(b) The velocity of king kong before landing is 86.3 m/s.

What is the acceleration due to gravity?

The longer an object is in free fall, the faster it descends toward the ground due to gravity. In actuality, an object's velocity rises by 9.8 m/[tex]s^{2}[/tex], so it reaches 9.8 m/s by the time it begins to fall.

Time taken for king kong to land on the ground from the Empire  state building is

[tex]$$t=\sqrt{\frac{2 h}{g}}\\=\sqrt{\frac{2(380 \mathrm{~m})}{9.8 \mathrm{~m} / \mathrm{s}^2}}[/tex]

= 8.81 s

(b)

The velocity of the king kong when it touches the ground is

[tex]$$v=\sqrt{2 g h}\\=\sqrt{2\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)(380 \mathrm{~m})}[/tex]

=86.3 m/s

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2.43 calculate the equivalent resistance rab at terminals a-b for each of the circuits in fig. 2.107

Answers

The equivalent resistance rab at terminals a through b for each circuit is Rab=16 ohm.

Parallel resistors of 10 and 40 ohms are used. Their comparable resistance is, thus,

(10x40)/(10+40)=400/50=8 ohm

Also,

Parallel resistors of 5 and 20 ohms are used. Their comparable resistance is, thus,

(5×20)/(5+20)=100/25=4 ohm

Since the two comparable resistors mentioned above are connected in series, the overall equivalent resistance is [tex]R_{ab}[/tex]=4+8=12 ohm

Circuit (b)

Parallel resistors of 30, 20, and 60 ohms are used. Their corresponding resistance is provided by

[tex]\frac{1}{R}=\frac{1}{30}+\frac{1}{20}+\frac{1}{60}=\frac{1}{10}[/tex]

Hence, equivalent resistance here is=10 ohms.

The specified 10 ohm resistance is now in series with this corresponding 10 ohm resistance.

As a result, the total equivalent resistance is 10+10=20 ohms.

Now, this 80 ohm resistance and its counterpart 20 ohm resistance are connected in parallel.

So, their equivalent resistance is

(80×20)/(80+20)=1600/100=16 ohm

Hence, Rab=16 ohm.

What is equivalent resistance?Equivalent resistance is the term used to describe how good a workout feels when you compare it to another person of the same fitness level. This metric can be helpful in deciding whether or not someone is working at their maximum potential. In order to calculate equivalent resistance, you will need your maximal lift and the lift of a similar-level exerciser. Then, divide each lifter's total by the other lifter’s total to get an estimate of how many pounds they are lifting relative to their own strength level.

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21 What happens to the molecules of a gas when the gas changes into a liquid?

A They move closer and lose energy.
B They move closer and gain energy.
с They move apart and lose energy.
D They move apart and gain energy.​

Answers

d is the answer so pick it

(a) if the maximum accelerationthat is tolerable for passengers in asubway train is 1.34 m/s2and subwaystations are located 806 m apart, whatis the maximum speed a subway traincan attain between stations?

Answers

Complete question

If the maximum acceleration that is tolerable for passengers in a subway train is 1.34m/s

2

 and subway stations are located 806m apart, what is the maximum speed a subway train can attain between stations?

From rest, the train is assumed to accelerate at a rate [tex](v_{0} =0)[/tex] and [tex](x_{0}=0)[/tex] of [tex]1 = 1.34m/s^{2}[/tex] until it reaches the halfway point, then decelerates at a rate  [tex]2 = 1.34 m/s^{2}[/tex] until it stops [tex](v_{2}=0)[/tex] at the following station. The distance between the two stations (l = 806m).

maximum speed refers back to the fastest rate of speed someone can reap. while athletes regulate the significance (how speedy they may be moving) or path (or each) in their movement, or both, their acceleration adjustments as properly when you consider that acceleration is related to pace, which has both a importance and a path related with it.

Given data:

The midpoint's velocity [tex]V_{1}[/tex] is experienced at:

[tex]x = \frac{1}{2} = \frac{806}{2} =403 m[/tex]

Then,

⇒ [tex]\mathrm{V}_{1}^{2}=\mathrm{V}_{0}^{0}+2a_{1} x[/tex]

⇒ [tex]v_{1} =\sqrt{0+2*1.34*403}m/s[/tex]

= 32.86 m/s

Thus, the maximum speed attained is 32.86 m/s.

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a baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. at what point is the magnitude of the acceleration at a minimum? (air resistance is negligible)

Answers

At the maximum height ( top ) position, the ball's speed is minimum so at this point the magnitude of the acceleration at a minimum.

What is acceleration?

In mechanics, acceleration is the rate at which the velocity of an object changes in relation to time. Acceleration is vector quantity (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration. the extent of an object's acceleration as per Newton's Second Law. Such negative accelerations are typically produced by retrorocket burning in spacecraft. Since both acceleration and deceleration are changes in velocity, they are considered equally. Passengers experience each of these accelerations (tangential, radial, and deceleration) until their relative (differential) velocities are equal to the acceleration caused by the change in speed.

At most extreme level position the upward part of speed is generally zero. By then the ball just has level speed and minimum magnitude of acceleration.

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Will the plastic insulation on the electrical wire decrease the heat transfer from the wire?

Answers

Plastic insulation does not necessarily decrease the heat transfer from the wire. Although it is insulated to keep it safe, shock free and protect the wire from high temperature.

Plastic is a poor conductor of heat. The reason is it does not have free electrons in its conduction band which makes it a perfect conductor.

Since Plastic is good insulator, they do not allow the flow of heat through them. When an electric wire is insulated with plastic it does not let the heat reach the electric wire.

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The plastic insulation on the electrical wire will not decrease the heat transfer from the wire.

Plastic insulation cannot always reduce heat transmission from the wire. Despite the fact that it is protected to make it safe, shock-free, and to shield the wire from extreme temperatures.

Plastic is a bad heat conductor. The reason for this is that it has no flow of electrons inside its conduction band, making it an excellent conductor.

Because plastic is a poor insulator, it does not enable heat to pass through it. Whenever an electric wire is protected with plastic, it prevents heat from reaching the wire.

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A ball is launched at some angle from horizontal toward a target some distance away on the ground. Neglect any effects due to air resistance. Where would the speed of the ball be the slowest?.

Answers

Answer:

you get yet?

Explanation:

Answer:At the place where it is when acceleration is the least.

Explanation:

I believe it is this answer. At launch the speed is the slowest because as it is falling the acceleration increases.

Bob used a force of 10N to pull a 50 kg trunk a distance of 5 m in 2 seconds. bob's power is

Answers

Answer:

25

Explanation:

a = 18t + 10 m/s2

A plane convex lens is made of glass (n = 1.5) with one flat surface and the other having a radius of 20 cm. what is the focal length (in cm) of the lens?

Answers

The calculated value is 5:2.

The reciprocal of the focal length is used to calculate a lens's power. In diopter's, lens power is expressed (D). Positive focal lengths and positive power values are characteristics of convergent (convex) lenses. Negative focal lengths and negative power values are characteristics of diverging (concave) lenses.

Given that a N l =1.25 and a Ng =1.5

The focal length of a glass (g) lens in a medium (m) may be calculated using the formula

f1= (mNg 1) [1/R1/ 1/R2].

fa1 = (aNg1) [1/R1/ 1/R 2] while the lens is in the air.

When the lens is submerged in liquid, f l1 = (aNg 1) [1/R 1/1/R2] =1.5/1.25, which divides equation 1 by equation 2, and

fi/fa = (1.5/1.251)/ (1.51)

=5/2 or

Pa / Pi = 5/2 (since f=1/P).

Therefore, Pa:Pi= 5:2.

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a hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. after 1.40 s, the first player makes up his mind to chase his opponent. if he accelerates uniformly at 0.22 m/s2, determine each of the following.

Answers

By using uniform motion, in 19.49 second the player will catch his opponent

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

v = 2 m/s

t = 1.4 s

vo = 0 m/s

a = 0.22 m/s²

Find the distance between players

so = v . t

so = 2 . 1.4

so = 2.8 m

The player will catch his opponent with the same distance, hence

S = S

so + v . tchase = vo . tchase + 1/2 . a . tchase²

2.8 + 2.tchase = 0 . tchase + 1/2 . 0.22 . tchase²

0.11 tchase² - 2 tchase - 2.8 = 0

a = 0.11

b = -2

c = -2.8

the square root is

x1 = (-b + √(b² - 4ac) ) / 2a

x1 = (-(-2) + √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)

x1 = 19.49 second

x2 = (-b - √(b² - 4ac) ) / 2a

x2 = (-(-2) - √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)

x2 = -1.31 second

the possible root is 19.49 second

Hence, in 19.49 second the player will catch his opponent

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we investigated a jet landing on an aircraft carrier. in a later maneuver, the jet comes in for a landing on solid ground with a speed of 87 m/s, and its acceleration can have a maximum magnitude of 8.55 m/s2 as it comes to rest. (a) from the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) explain your answer.

Answers

(a) The minimum time interval needed before it can come to rest is t = 10.17 sec for a jet which is travelling at a a speed of 87 m/s, and its acceleration can have a maximum magnitude of 8.55 m/s2

(b) yes the jet can land on a small tropical island airport where the runway is 0.800 km long.

(c) The jet is safe to land.

What is acceleration?

Acceleration is the rate at which an object's velocity with respect to time changes. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, an object's acceleration is the result of two factors working together: the object's mass, which varies depending on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the object's mass.

The SI unit for acceleration is [tex]m/sec^{2}[/tex].

Use the formula to calculate the time required to stop the jet

v = u + at

0 = 87 + (-8.55)t

t = [tex]\frac{87}{8.55}[/tex]

t = 10.17 sec

Use the following formula to calculate the distance travelled by the jet is,

[tex]x = ut + \frac{1}{2} at^{2}[/tex]

= [tex]( 87 \times 10.17) + \frac{1}{2} (-8.55) (10.17)^{2}[/tex]

= 884.79 - 884.31

=.48m

Yes, the can land on a small tropical island airport where the runway is 0.800 km long.

The jet is safe to land.

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If the mass of a sliding block is tripled while a constant net force is applied, by how much does the acceleration change?.

Answers

The acceleration of the block will be 1 / 3 times.

What is acceleration?

Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.

Given that the mass of a sliding block is tripled while a constant net force is applied. The acceleration of the block will be calculated as below:-

F = Mass x Acceleration

F = 3 Mass x Acceleration

Here to make the force constant the acceleration has to be divided by 3.

Therefore, the acceleration of the block will be 1 / 3 times.

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An object is released from rest on a planet that has no atmosphere. The object falls freely for 3 m in the first second. What is the magnitude of the acceleration due to gravity on the planet?.

Answers

An object is released from rest on a planet that has no atmosphere. The object falls freely for 3 m in the first second. The magnitude of acceleration due to gravity is g =  6 m/s²

How to calculate?

if we ignore air friction, height h an object falls under a gravity g is calculated through:

h =h₀ + v₀*t - 1/2*g*t²

where,

t= time to reach a height h

v₀ = initial vertical velocity of the object =0 m/s( since is released from the rest)

g = gravity

h₀ = initial height = 3m

if object starts at height h₀ = 3 m then it finishes at height h= 0 m when it falls 3 meters.

then since v₀=0 m/s  :

h =h₀  - 1/2*g*t²

replacing values

0 = 3 m - 1/2*g*(1 s)²

g= 2*( 3m - 0m)/(1 s)² = 6m/s²

g =  6 m/s²

What do you mean by acceleration due to gravity?

The acceleration of a body in free fall under the influence of the earth's gravity expressed as the rate of increase of velocity per unit of time and assigned the standard value of 980.665 centimeters per second also called g.

The acceleration of an object changes with the altitude. The change in the gravitational acceleration with distance from the center of Earth follows an inverse-square law. This means that the gravitational acceleration is inversely proportional to the square of the distance from the center of Earth. As distance is doubled, the gravitational acceleration decreases by a factor of 4. As distance is tripled, the gravitational acceleration decreases by a factor of 9, and so on.

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The density of lead is 19,300 kg/m3 . how many times the density of gold nuclei is greater than the density of gold?

Answers

The mass of gold with the dimensions 10 cm, 5 cm, & 20 cm will be  19.3 kg.

What is volume ?

The amount of cubic space a three-dimensional object takes up (measured in inches, quarts, or centimeters): square footage. The volume that a certain amount of a substance fills.

Although the dimensions were given in centimeters, you require the volume in cubic meters.

The dimensions must also be given in meters because the units must match. The conversion is to multiply the centimeters by 100 to obtain the volume in cubic meters.

0.10 x 0.05 x 0.20 = 0.001 m^3

To determine the mass of the gold block, multiply by the density.

0.001 x 19,300 = 19.3 kg

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Question:

The density of gold is 19300 m^3/kg. What will be the mass of gold with the dimensions 10 cm, 5 cm, & 20 cm?

if the temperature remains the same but the wind speed increases, the wind chill index will increase stay the same decrease

Answers

The wind chill index will increase, if the temperature remains the same but the wind speed increases.

What is wind?

Wind is the customary improvement of air or various gases near with a planet's surface. Turns occur on an extent of scales, from whirlwind streams persevering through a few minutes, to neighborhood breezes made by warming of land surfaces and persevering through two or three hours, to overall breezes coming about as a result of the differentiation in maintenance of daylight based energy between the climate zones in the world. The two essential drivers of tremendous degree natural scattering are the differential warming between the equator and the posts, and the turn of the planet (Coriolis influence). Inside the wildernesses and subtropics, warm low streams an over area and undeniable levels can drive rainstorm dispersals. In ocean front areas the sea breeze/land breeze cycle can describe close by breezes; in locales that have a variable area, mountain and valley breezes can win.

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If a force of 21n stretches a spring 0.3m beyond its natural length, how much work does it take to stretch the spring 4.5m beyond its natural length?

Answers

It requires 708.75 J of labor to extend the spring 4.5m beyond its normal length if a force of 21n stretches it by 0.3m.

We know that

F = k × x

We are given

F = 21 N

x = 0.3

21 = k × 0.3

k = 70 N/m

Work = [tex]\int\limits^4_0 {70x} \, dx[/tex]

[tex]= 70 \frac{x^{1+1} }{1+1}[/tex]

[tex]=35x^{2}[/tex]

When we plug in boundaries, we get,

= 708.75 - 0

Work = 708.75 J

The spring's duration with none linked mass is its natural length. We assume the spring abides through Hooke's rule, which states that if the spring's natural duration is expanded by means of an quantity L, it's going to exert a force Fs = kΔL, wherein ok is a wonderful fee referred to as the spring consistent.

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Why has atomic theory not been discarded

Answers

Answer: Is the atomic theory still valid today?

Although two centuries old, Dalton's atomic theory remains valid in modern chemical thought. 1) All matter is made of atoms. Atoms are indivisible and indestructible. 3) Compounds are formed by a combination of two or more different kinds of atoms.

Explanation: hope this helps!!!

one way to monitor global warming is to measure the average temperature of the ocean. researchers are doing this by measuring the time it takes sound pulses to travel underwater over large distances. at a depth of 1000 m, where ocean temperatures hold steady near 4∘c, the average sound speed is 1480m/s. it's known from laboratory measurements that the sound speed increases 4.0m/s for every 1.0∘c increase in temperature. in one experiment, where sounds generated near california are detected in the south pacific, the sound waves travel 7700 km .

Answers

The smallest change in average temperature that can be measured is 0.0475°C

Calculation

Average sound speed in deep sea = v=1480m/s

from California to south pacific, sound waves travel 7.7 x [tex]10^{6}[/tex] m distance

smallest time change detected = 1s

The time required for the sound wave to travel the given distance without any change in temperature can be calculated as

t =x/v

=7.7 x [tex]10^{6}[/tex] / 1480

=5202 s

The new time required for the waves,

t1 = t -[tex]\delta t[/tex] =5202-1 =5201s

Now we have to calculate the new sound speed.

v1 = x/t1 = [tex]\frac{7.7 *10^6}{5202}[/tex] =1480.19 m/s

so change in the speed of sound

[tex]\delta v = v1 - v[/tex]

= 1480.19 - 1480 = 0.19 m/s

Then it is given that

[tex]\delta v[/tex] = (4 m/s/°C) [tex]\delta T[/tex](°C)

Formulating,

0.19 m/s = (4 m/s/°C) [tex]\delta T[/tex](°C)

[tex]\delta T[/tex] = 0.19/4

=0.0475°C

Thus, the smallest change in temperature is 0.0475°C

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An athlete leaves the base camp and hikes 10 km, north and then hikes 5 km east. Determine his resulting displacement.

5km East
125km NE
15 km SE
11.2 km NE

Answers

An athlete leaves the base camp and hikes 10 km, north and then hikes 5
15 km SE
11.2 km NE

Answer: 11.2

Explanation:

1. In 10 seconds a car accelerates 4m/s2 to 6 m/s. How fast was the car going before it accelerated?

2. An object at rest starts accelerating. If it travels 10 meters to end up going 20 m/s, what was its acceleration?

3. A car stops in 150 m. If it has an acceleration of –8m/s2, how long did it take to stop?

4. An object is thrown up into the air going 100 m/s. How fast is it going 1.5 seconds later?

5. A rock falls off a cliff and falls for 1 secs. How high is the cliff?

6. A person throws tennis ball 2 m/s straight up. How long does it take for it to come back to their hand?

7. A ball goes 400 m in 4 seconds. If was moving 10 m/s to begin with, what is its final velocity?

Answers

The results of the calculation are;

1) The acceleration is 0.2 m/s^2

2) The acceleration is 20 m/s^2

3) Can not be solved as the parameters are not complete

4) Has a final velocity of  114.7 m/s

5) The height is  4.9 m

6) The total time taken is 0.4 s

7) The final velocity is 190 m/s

What is the acceleration?

The term acceleration is defined as the rate of change of the velocity with time. We shall now look at the solution to each of the problems.

1) Using;

v = u + at

v = final velocity

u = initial velocity

a = acceleration

t = time

a = v - u/t = 6 - 4/10

a = 0.2 m/s^2

2) v^2 = u^2 + 2as

s = distance

u = initial velocity

a = acceleration

v =final velocity

Given that it started from rest u = 0 m/s

v^2 = 2as

a = v^2/2s

a = (20)^2/ 2 * 10

a = 20 m/s^2

3)   This problem can not be solved because the initial velocity is missing

4) v = u + gt

v = 100 + (9.8 * 1.5)

v = 114.7 m/s

5) h = ut + 1/2 gt^2

Since it was dropped from a height u = 0 m/s

h = 1/2 gt^2

h = 0.5 * 9.8 * (1)^2

h = 4.9 m

6) v = u + gt

At the maximum height v = 0 m/s

u = gt

t = u /g

t = 2/9.8

t = 0.2 s

To go up and come back 2(0.2) = 0.4 s

7) s = ut + 1/2 at^2

400 = (10 * 4) + 0.5 * (4)^2 * a

400 = 40 + 8a

400 - 40/8 = a

a = 45 m/s^2

Using;

v = u + at

v = 10 + 45 * 4

v = 190 m/s

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