An atom of a particular element has a volume of 3m^3. what is the volume in nm^3?

12.5 mg should be given to a child weighing 55 lb.

Some medications especially for children can be prescribed according to the particular person's body weight in (kg) or their body surface area in (m²).

You have to multiply the dose with the weight to determine the required dose and then substitute in other formula.

1 kg = 2 lb

1 lb = 1 / 2 kg

55 lb = 0.5 × 55

27.5 kg

Dose = 500 mcg/kg

Therefore Dose = 12.5 mg for a child weighing 55 lb.

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Fundamental analysis forecasting technique links exchange rates to

macroeconomic variables.

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As we see in the scatterplot graph and the briefing given below the most appropriate option is A-As age increases, weight increases.

If you follow the arrow's trajectory, your finger will move to the right, increasing age (on the horizontal axis).

Additionally, as your finger rises, the weight (on the vertical axis) does as well.

Age and weight increase in tandem since both processes are ongoing.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.

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The complete question is-

Analyze the scatterplot graph.

Which trend does the graph show?

A-As age increases, weight increases.

B-As weight decreases, age increases.

C-As age increases, weight remains the same.

D-As weight increases, age remains the same.

The magnitude of the electric field at point P which is 0.20 m to the right of the positive charge is 3,3375 N/C.

The electric field(E) due to an isolated point charge is

E= KQ/r^2

Here K is the Electrostatic Constant = 1/4π∈ = 9 x 10^9 N m^2/C^2

Q is the magnitude of the charge

r is the distance of the point from the charge

Putting q= 15 nC and r = 0.20 m in the given equation

E = 9 x 10^9 x 15 x 10^-9/(0.20)^2

E = 3375 N/C

Hence, the magnitude of the electric field at point p which is 0.20 m to the right of the positive charge is 3,3375 N/C.

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The form of electromagnetic radiation that has a wavelength of 10-7 nanometers is known as Ultraviolet. Thus, the correct option for this question is C.

Electromagnetic radiation may be defined as a type of radiation that considerably possesses both electric and magnetic fields. Apart from this, these radiations always travel in waves. Electromagnetic radiations include visible light, radio waves, gamma rays, X-rays, etc.

Among all kinds of electromagnetic radiations, gamma rays have the shortest wavelength and high frequency. While microwaves have the longest wavelength and lowest frequency. As the wavelength and frequency are inversely related to one another.

Therefore, ultraviolet radiation is a type of electromagnetic radiation that has a wavelength of 10-7 nanometers. Thus, the correct option for this question is C.

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Answer: An electrostatic generator, or electrostatic machine, is an electrical generator that produces static electricity, or electricity at high voltage and low continuous current.

Explanation:

Answer:

electrostatic generator

Explanation:

Manual electrostatic generators develop electrostatic charges of opposite signs rendered to two conductors, using only electric forces, and work by using moving plates, drums, or belts to carry electric charge to a high potential electrode.

The final solution sales will always be fractions. The final solution deals do not need to be integers.

Linear programming (LP) or Natural Optimization is the issue of maximizing or underestimating a straightforward work subject to linear restrictions.

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The correct option is B.

There were 4 treatment conditions compared in the experiment.

F ratio plays an essential role in performing a particular dataset of ANOVA. F ratio is particularly a ratio which is obtained by the between-group variance or it is also called MSB and also within-group variance known as MSW. Any  F-ratio which is computed is compared with the critical F-ratios from the table as it will check out if there are any variations available between the groups or not.

The researcher reports an F-ratio where the degrees of freedom = 3, 36.

F-ratio is obtained by the calculation of dividing the Mean squared errors because of the treatment by the Mean squared error which occurs due to error.

For the particular case, the researcher reports an F-ratio having degrees of freedom = 3, 36. It is indicating that the treatments are being distributed with degrees of freedom which is 3 and specified errors are distributed with degrees of freedom which is 36.

Let the treatments which were involved in the study can be denoted by k.

Let the total number of individuals involved in the study can be taken as N.

Then, the  treatments will be having  degrees of freedom as,

[tex]df_{treatments}[/tex] = k-1

3=k-1

k=3+1=4

Therefore, the required treatment condition number that was compared is 4.

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Answer:

What Is Maximum Heart Rate? Your maximum heart rate is, on average, the highest your pulse can get. One way to get a rough estimate of your predicted maximum is to subtract your age from the number 220. For example, a 40-year-old's predicted maximum heart rate is about 180 beats per minute.

Explanation:

- 2.186 x 10⁻⁵ C must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c.

Electric field:

E = F/q

E ⇒ The magnitude of electric field

F ⇒ Electric force on a test charge q

q ⇒ Magnitude of the point charge

The electric field E at a position P where a charged particle with charge q is subjected to an electric force F is specified by the aforementioned equation.

There are two possible test charges: positive and negative. The directions of E and F are the same if it is positive; if it is negative, they are the opposite.

F = mg = Eq

q = mg/E

  = ((1.45 x 10⁻³ kg)(9.8 m/s²))/650 N/C

  = 2.186 x 10⁻⁵ C

Since the force must go upward and the electric field is in the opposite direction, q must be negative.

q= -2.186 x 10⁻⁵C

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The new temperature is given as 510.05 K and the number of moles that remained after the incident can be written as 6.49 mol.

Ambient Temperature ∆T = 224K

Mass of the gas that leak out of the tank ∆m = 82g

We know that the final temperature is

T f = Ti + ∆T

= 294.05K + 224 K

≈ 518.05 K

Then the final number of moles of gas is given by

nf = mf / M co2

= mi-∆m / 44

= (367.8 - 82) / 44

≈ 6.49 mol

The air temperature of any object or setting where equipment is kept is known as the Ambient temperature.

This number is significant for system design. It is also sometimes referred to as the ordinary temperature or the baseline temperature.

Technically speaking, “ Ambient temperature” refers to the temperature outside, whereas “room temperature” refers to the temperature inside a particular structure or room.

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The graph shows that the ship decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

The term deceleration refers to a gradual reduction in the velocity of the object with time. We know that when an object is moving at a steady rate, the velocity of the object does not change and this can be seen as a flat portion in the velocity time graph.

Looking at the graph, we can see that we could  tend to look at the acceleration of the ship based on the graph with the view  that the ship is moving in the forward direction at a steady rate. Then it decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

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A weight gain of 1.49 lb (0.68 kg) per month is expected from birth until 6 months

A newborn grows roughly one inch every month throughout the first six months. Between six months and a year, growth slows to around a half inch every month. A baby boy's average length at six months is around 26.5 inches (67.6 cm), whereas a baby girl's average length is approximately 25.75 inches (65.7 cm). Boys average 29.75 inches (75.7 cm) while girls average 29 inches at one year (74 cm). During the first six months, he grew quickly, gaining 1.49 pounds each month and one inch in length. The following are characteristics of the first 6 months.

a.) Upper limbs and head grow more quickly b.) Primitive reflexes are present, including a strong suck and gag reflex    c.) Infant is an obligate nose breather d.) Posterior fontanel closes by 2-3 months

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At a particular instant, a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be 39.8 m/s.

As, this is a free-falling object with some,  initial velocity

so, u = 30m/s

the given time t = 1 sec

so, the final velocity will find out by using the kinematic equation

Using v = u + at

v = 30 + 9.8[tex]\times[/tex]1

v = 39.8 m/s

The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.

Speedometers are used to measure speed in moving vehicles. Odometers are used to calculate the distance traveled. A graph may be used to calculate speed as well. The distance-time graph aids in comprehending an object's speed.

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Answer: It sends signals and messages throughout the body.

Answer:

b.

Explanation:

if you read B. its explains it sends signals and messages throughout your body so thats uour nervous system.

your welcome

When we compare our place in the universe with a very distant place, we can say that all the laws of physics are the same in each place.

Physics laws are the result of scientific observations made after very long years. The nature of physics laws is absolute and remains intact even in the presence of external factors.  They are conservative in terms of quantity, can be applied anywhere in the universe, are present everywhere, and remain stable. Some of these laws are as follows:

1. Law of universal gravitation

This law states that every object in the universe attracts each other in direct proportion to their combined mass and is inversely proportional to the distance between them.

2. Conservation of mass and energy

According to this law, mass, and energy can neither be created nor be destroyed. They can only be transferred from one form to another.  

3. Law of inertia

This is Newton's first law of motion. It states that a body can resist the change in its motion unless the application of an external force. The property of resisting the change in motion is called inertia.

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The acceleration due to gravity is constant even at the top of its flight and its direction will be towards to ground (Downwards).

The horizontal distance of an object in projectile motion relative to its origin is referred to as its range. Only at the highest point of a thrown object's flight does vertical (y) speed equal zero. This component of velocity does not change over time since there is no horizontal acceleration in the absence of air resistance.

For many people, this is a counterintuitive idea. (Depending on the object, air resistance will result in a little or major drop in velocity. However, for the time being, this aspect is disregarded.) Gravitational acceleration must be included in a vertical motion, and as a result, the vertical velocity evolves with time.

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The average speed of blood is less than 0.90 m/s.

The blood flows in the body of a person at the speed of less than 0.90 m/s. In miles per hour, the value is 2 which means the blood flows at the rate of 2 miles per hour. We know that blood is very important for the survival of all humans. This blood is a source of transportation of oxygen and waste material in the body like carbondioxide gas. This speed of of less than 0.90 m/s is optimum for the exchange of gases between blood and cell.

So we can conclude that the average speed of blood is less than 0.90 m/s.

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A glass stopper has a volume =  16 cm^3

mass = 40 g

Therefore, density (g/cm^3) = MASS/ VOLUME

DENSITY = 40/16  g/cm​​​​​^3​

Density = 2.5 g/cm​​​​​^3​

In kg/m^3 => 2.5*10^-3 kg / 10^-6m^3 = 2500 kg/m^3

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By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as

P = A . e . σ . T⁴

where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.

From the question above, we know that

P1 = 10 watt

P2 = 100 watt

T1 = T1

By using the black body radiation formula, the ratio of temperature is

T1⁴ / T2⁴ = P1 / P2

Hence,

T1⁴ / T2⁴ = P1 / P2

T1⁴ / T2⁴ = 10 / 100

T1⁴ / T2⁴ = 1 / 10

T2⁴ = 10T1⁴

T2 = ⁴√(10T1⁴)

T2 = T1 x 10⁰'²⁵

Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

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Using Dimensional analysis to calculate,

Dwight can grow 9600 beets on the 8 acres of land.

Michael can afford to buy enough pizzas.

Dimensional Analysis is a problem-solving technique that makes use of the fact that every number or statement may be multiplied by one without affecting its value. It is also known as the Unit Factor Method or the Factor-Label Method.

Using dimensional analysis to solve the given two problems,

a) 1/8 hectare = 150 beets

1 acre = 150 x 8 = 1200 beets

8 acres = 1200 x 8 = 9600 beets

Dwight can grow 9600 beets on the 8 acres of land.

b) 15 co-workers x 3 slices = 45 slices of pizza

No. of pizzas needed = 45/12 = 3.75 = 4 pizzas

Cost of pizzas = 19.50 x 4 = $78

Since Michael has $90, he can afford enough pizzas.

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The Speed of the athlete is 5.59 m/s

Speed is defined as the ratio of the distance covered and the time taken

The units of speed can either be m/s, km/hr, mil/hr, etc.

The distance covered by the athlete = 42.195 km

Distance in meter = 42195 * 1000 = 42195 m

Time taken = 2 * 3600 s + 5 * 60 s + 42 s

Time taken = 7542 s

Speed = 42195 m/7542 s

Speed = 5.59 m/s

In conclusion speed is ratio of distance and time taken.

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The  reaction forces are as follows:

Reaction forces are the force which act in an opposite direction to an applied force.

According to Newton's third law of motion, action and reaction are equal but oppositely-directed.

Considering the given forces, the reaction forces are as follows:

A baseball bat hits a ball = the reaction force is that of the ball hitting the bat

A bowling ball pushes up against the pins = the pins pushing against the bowling ball

Air particles push outward against a balloon = the walls of the balloon pushing against the air particles

During an earthquake, tectonic plates move = the weight of the tectonic plates.

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A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of 5.5 to 1.4 m (18 to 5 feet).

The maximum power transfer theorem, Maxwell's equations, and the fact that antennas are used to transmit and receive electromagnetic waves all suggest that the antenna's largest dimension is proportional to the wavelength, Frequency and wavelength are inversely proportional. The wavelength gets shorter as the frequency increases. A shorter antenna results from a shorter wavelength. Nevertheless, depending on the applications we use today, we may not always use wavelength/4, and the majority of our cellphones instead use wavelength/10 because wavelength/4 will produce an outdated phone with an external antenna that people will break frequently. However, the antenna performance on those phones was the best.

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Answer: The final velocity will be 30 m/s

Explanation:

[tex]v_{i} = 10 m/s\\a = 2.0m/s^{2} \\t = 10s\\v_{f} = ?\\\\a = \frac{v_{f} - v_{i}}{t} \\2.0 = \frac{v_{f} - 10}{10} \\20 = v_{f} - 10\\v_{f} = 30[/tex]

Answer:

30 m/s

Explanation:

[tex]\boxed{\begin{array}{c} \text{\underline{The Constant Acceleration Equations (SUVAT)}}\\\\\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}}[/tex]

[tex]\boxed{\begin{minipage}{9 cm}s = displacement in m (meters)\\u = initial velocity in m/s (meters per second)\\v = final velocity in m/s (meters per second)\\a = acceleration in m/s$^{2}$ (meters per second per second)\\t = time in s (seconds)\\\\When using SUVAT, assume the object is modeled\\ as a particle and that acceleration is constant.\end{minipage}}[/tex]

Given:

Substitute the given values into  v = u + at and solve for v:

[tex]\begin{aligned}v & = u+at\\\implies v & = 10 + 2(10)\\& = 10 + 20\\& = 30\; \sf m/s\end{aligned}[/tex]

Therefore, the final velocity of the vehicle is 30 m/s.

The sample size of the standard deviation of a sample that was reported to be 30 is calculated as 8.

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination.

Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Standard deviation = square root of ∑(x-average)^2 / N = 30

∑(x-average)^2 = 7200

Putting the values in standard deviation formula where N = sample size

30 = sqrt of ∑(x-average)^2 / N

Then squaring off on both sides,

900 = 7200/N

⇒N = 8

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According to the capacitance, the charge on each plate is 70.06 pC.

We need to know about the capacitance of the air-filled capacitor to solve this problem. The capacitance of the air-filled capacitor depends on the charge and voltage. It can be written as

C = Q/V

where C is capacitance, Q is charge and V is voltage.

From the question above, we know that

C = 6.2 pF = 6.2 x 10¯¹² F

V = 11.3 V

By substituting the given parameters, we can calculate the charge on each plate

C = Q/V

6.2 x 10¯¹² = Q / 11.3

Q = 6.2 x 10¯¹² x 11.3

Q = 70.06 x 10¯¹² C

Q = 70.06 pC

Hence, the charge on each plate is 70.06 pC.

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By using uniform motion, the displacement of a fallen crate after 2.9 seconds is  41.209 meters.

We need to know about 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

t = 2.90 s

vo = 0 m/s

a = g = 9.8 m/s²

By substituting the given parameters, we can calculate the displacement with the third equation

s = vo . t + 1/2 . a . t²

s = 0 . 2.9 + 1/2 . 9.8 . 2.9²

s = 0 + 41.209

s = 41.209 m

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When a ball thrown straight upwards reaches the very top of its path, its acceleration is: equal to zero (0)

The fact that the acceleration at the highest point of the ball's trajectory is equal to zero is related to the fact that a transition point is reached in which the acceleration that is equal to gravity goes from being negative when the ball is going up to becoming positive at the instant in which it begins to descend due to the effect of the force of gravity.

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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