9. An astronaut weighs 500 Newtons on Earth and 25
newtons on asteroid X. The acceleration due to
gravity on asteroid X is approximately
A) 1 m/s²
C) 0.2 m/s²
B) 2 m/s²
D) 0.5 m/s²

Answers

Answer 1

The acceleration due to gravity on asteroid X is approximately 0.5 m/s². The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.

What is acceleration due to gravity ?To calculate the acceleration due to gravity on asteroid X, you need to first determine the mass of the astronaut. Since weight is a measure of the force of gravity on an object, and the force of gravity is directly proportional to the mass of the object, the mass of the astronaut can be calculated by dividing the weight on Earth by the acceleration due to gravity on Earth.The acceleration due to gravity on Earth =  9.8 meters per second

       The mass of the astronaut = 500 Newtons / 9.8 m/s^2, 50 Kg

        The equation for gravitational force is F = Gm1m2/r^2,

where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. Solving for r, you can calculate that the distance between the               astronaut and the center of asteroid X is approximately 5 meters. Since the acceleration due to gravity is defined as the force of gravity divided by the mass of the object, you can use this distance to calculate the acceleration due to gravity on asteroid X. Dividing the force of gravity on the astronaut (25 Newtons) by the mass of the astronaut (51 kilograms).

Calculate that the acceleration due to gravity on asteroid X = 0.49 meters per second squared.

That is 0.5 m/s²

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Related Questions

What factors affect an objects kinetic energy?

Answers

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

What is the mechanical advantage ????

What is the mechanical advantage ????

Answers

Answer:

the advantage gained by the use of a mechanism in transmitting force specifically : the ratio of the force that performs the useful work of a machine to the force that is applied to the machine.

Explanation:

Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. The device trades off input forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.

anyone who is in class 6?​

Answers

Answer:

hey I am in class 6 why did you ask

What is the "symbol" and "unit" of Temperature?

What is the "symbol" and "unit" of Temperature?

Answers

Symbol is f° and c° units is degrees

Two asteroids in outer space collide, and stick together. The mass of each asteroid, and the velocity of each asteroid before the impact, are known. To find the momentum of the stuck-together asteroids after the impact, what approach would be useful?.

Answers

Utilizing the momentum principle is a good strategy since there are no outside forces acting on  system, its total linear momentum is constant, and the total beginning and final momentum of the system are equal.

What does momentum mean in the real world?

The amount that motion is referred to as momentum. Since an object possesses speed if it is moving and has mass, amount is measurable in this situation. An object doesn't have momentum if it isn't moving. Nevertheless, despite its significance in everyday life, many people remained unaware of it.

What use does momentum serve?

Momentum is a vectors quantity since it has both size and direction. Since inertia has a direction, it is used to forecast the direction and rate of motion of objects after a collision. Below is a one-dimensional description of the fundamental characteristics of momentum.

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please help!! (include steps)

At the 1984 Winter Olympics, William Johnson of the United States reached a speed of 104.5 km/h in the downhill skiing competition. Suppose Johnson left the slope at that speed and then slid freely along a horizontal surface. If the coefficient of kinetic friction between the skis and the snow was 0.120 and his final speed was half of his initial speed, find the distance William traveled.

Answers

Hi there!

Begin by converting 104.5 km/h to m/s.

\(\frac{104.5km}{hr} * \frac{hr}{3600 s}* \frac{1000m}{ km} = 29.028 m/s\)

Recall the definition of work:

\(\large\boxed{W = \Delta KE = Fdcos\theta}}\)

AND:

\(\large\boxed{W = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2}\)

The work done in this situation is due to the friction force:

\(F = \mu mg\\\\W = \mu mgd(cos180) \\W = -\mu mgd\)

Now, using the change in kinetic energy, we can solve:

\(-\mu mgd = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2\)

Cancel out the mass.

\(-\mu gd = \frac{1}{2}v_f^2 - \frac{1}{2}v_i^2\)

Rearrange for a working equation:

\(d = \frac{\frac{1}{2}v_f^2 - \frac{1}{2}v_i^2}{-\mu g}\)

Plug in the given values:

\(d = \frac{\frac{1}{2}(14.51)^2 - \frac{1}{2}(29.028)^2}{-(.120)(9.8)}\)

Solve:

\(d = \frac{\frac{1}{2}(14.51)^2 - \frac{1}{2}(29.028)^2}{-(.120)(9.8)} = \boxed{268.74 m}\)

We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?

Answers

The Acceleration of the system is 6.41 m/s².

Given,

α= 15°, m₁ = 7kg

β= 65°, m₂ = 11 kg

Let, a be the acceleration and T is the tensions at the end it's the cord.

Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,

Resultant force, m₂a=m₂g sin β -T

11a=((11) ×g sin 65°) -T  ...(i)

Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.

Resultant force m₁a = m₁g sin α+T

7a =7g sin 15°+T  ...(ii)

Solving both the equations by adding them,

18a=11gsin 65°+7g sin 15°-T+T

18a=11gsin 65°+7g sin 15°=115.45

a=115.45/18=6.41 m/s²

Hence, the Acceleration of the system is 6.41 m/s².

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Alejandro has collected over 35 studies focusing on the impact of vitamin C on a person's cold duration. He hopes to combine these findings and draw a general conclusion regarding the usefulness of the vitamin. Alejandro is using the statistical tool of:

Answers

Since Alejandro hopes to combine the findings from the collected studies and draw a general conclusion regarding the subject, he is using statistical tool of inference.

There are basically 2 types of statistical tools:

Descriptive statistical toolsInferential statistical tools

Descriptive tools are used to describe data. They include the use of tables, graphs, measures of dispersion, measures of central tendencies, etc.

Inferential tools are used to deduce conclusions from data. They include measures of significant differences, probability, correlation and regression, etc.

In this case, Alejandro would need to subject the data collected from the 35 studies to inferential statistical analysis tools in order to be able to make relevant conclusions.

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5. What's the temperature -10°C in kelvins? ​

Answers

Answer:

263.15

. . . . . . . . . ..  ... . . . . . .. . . . . . . . ... .

What force is responsible for how magma flows and rocks stack up on top of one another?

Question 6 options:

Electroweak and Strong


Nuclear


Electromagnetic


Gravitational

Answers

Gravitational force is responsible for how magma flows and rocks stack up on top of one another.

Gravitational force is the force hat attracts all objects to the center of the earth. The force of gravity accounts for the fact that when an object is thrown up, it falls back to the earth.

The force that is responsible for how magma flows and rocks stack up on top of one another is the gravitational force.

Hence, it is the gravitational force that is responsible for how magma flows and rocks stack up on top of one another.

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A piano tuner hears one beat every 3.5s when trying to adjust two strings, one of which is sounding 440Hz, so that they sound the same tone. How far off in frequency isthe other string?

Answers

The other string is approximately 439.857 Hz, or about 0.143 Hz lower in frequency than the first string.

The beat frequency is the difference between the frequencies of the two strings. We know that one string has a frequency of 440 Hz. Let's call the frequency of the other string "f".

We are told that the piano tuner hears one beat every 3.5 seconds. This means that the difference in frequency between the two strings is such that they complete one cycle of constructive and destructive interference every 3.5 seconds.

Therefore, we can use the following formula to find the frequency of the second string:

f = 1 / (2 x 3.5s)

f = 1 / 7s

f = 0.143 Hz

So the frequency of the second string is approximately 0.143 Hz.

To find how far off in frequency the second string is, we subtract its frequency from the frequency of the first string:

440 Hz - 0.143 Hz = 439.857 Hz

Therefore, the second string is approximately 439.857 Hz, or about 0.143 Hz lower in frequency than the first string.

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Hi this is a discussion topic can anyone right some stuff on this to help me out 50 points physical science

Hi this is a discussion topic can anyone right some stuff on this to help me out 50 points physical science

Answers

Answer:

the sciences concerned with the study of inanimate natural objects, including physics, chemistry, astronomy, and related subjects. Often contrasted with life sciences. I don't know why but i like physics and all this stuff.

Explanation:

Which type of reaction does this diagram represent?

Answers

The diagram represents a chain reaction that is caused by nuclear fission

What is a chain reaction?

A chain reaction is simply a sequence of reactions in which a reactive product or a by-product causes additional reactions to take place.

What is nuclear fission?

Nuclear fission is a type of reaction in which the nucleus of an atom splits or divides into smaller nuclei.

From the diagram, it can seen that larger atoms where divided into smaller ones which resulted in additional reactions.

Hence, the reaction is a chain reaction cause by nuclear fission.

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Which type of reaction does this diagram represent?

GP Q C Review. You can think of the work-kinetic energy theorem as a second theory of motion, parallel to Newton's laws in describing how outside influences affect the motion of an object. In this problem, solve parts (a), (b), and (c) separately from parts (d) and (e) so you can compare the predictions of the two theories. A 15.0-g bullet is accelerated from rest to a speed of 780m/s in a rifle barrel of length 72.0cm. (a) Find the kinetic energy of the bullet as it. leaves the barrel.

Answers

Simplifying this equation:

\(KE = 0.5 * 0.015 kg * 608,400 m^2/s^2KE = 4,564.5 J\)

Therefore, the kinetic energy of the bullet as it leaves the barrel is 4,564.5 Joules.

The kinetic energy of the bullet can be found using the formula:

\(Kinetic Energy (KE) = 0.5 * mass * velocity^2\)
First, we need to convert the mass of the bullet from grams to kilograms. Since 1 kg = 1000 g, the mass of the bullet is 15.0 g / 1000 = 0.015 kg.

The velocity of the bullet is given as 780 m/s.

Now we can plug these values into the formula to find the kinetic energy:

\(KE = 0.5 * 0.015 kg * (780 m/s)^2\)

In summary, the kinetic energy of the bullet can be found using the formula KE = 0.5 * mass * velocity^2. By plugging in the values for mass (converted to kilograms) and velocity, we can calculate that the kinetic energy is 4,564.5 Joules.

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Therefore, the kinetic energy of the bullet as it leaves the barrel is 45.945 Joules.

The kinetic energy of an object can be calculated using the formula: KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

In this problem, we are given the mass of the bullet, which is 15.0 g.

To find the kinetic energy of the bullet as it leaves the barrel, we need to calculate its velocity.

The problem states that the bullet is accelerated from rest to a speed of 780 m/s in a rifle barrel of length 72.0 cm.

Since we are only interested in the kinetic energy of the bullet as it leaves the barrel, we can ignore the length of the barrel and focus on the final velocity.

To find the final velocity, we can use the equation of motion: v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity (which is 0 m/s since the bullet starts from rest), a is the acceleration, and s is the distance traveled.

In this case, the bullet starts from rest, so the initial velocity is 0 m/s. The final velocity is given as 780 m/s, and the distance traveled is the length of the barrel, which is 72.0 cm or 0.72 m.

Using the equation of motion, we can rearrange it to solve for acceleration: a = (v^2 - u^2) / (2s). Plugging in the values, we get a = (780^2 - 0) / (2 * 0.72) = 338,750 m/s^2.

Now that we have the acceleration, we can calculate the kinetic energy of the bullet using the formula KE = 1/2 mv^2. Plugging in the values, we get KE = 1/2 * 0.015 kg * 780^2 m^2/s^2 = 45.945 J.

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Is acceleration directly proportional to mass, or is it inversely proportional to mass?
Will give brainliest

Answers

Answer:

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

Answer:

It’s actually A) Inversely

Explanation:

pls answer quick & an accurate answer will get brainliest

pls answer quick & an accurate answer will get brainliest

Answers

Answer:

3.766 kg or 3.7 kg

Explanation:

F= M*A equation

. A man and his son run to the top of a hill and stop. The mass of the
man is bigger than the mass of the boy.
a. Write down who has more kinetic energy while they are both
running at the same speed. Explain your answer.
b. Would it be possible for them to have the same amount of kinetic
energy? Explain your answer.

Answers

The person who would have more kinetic energy between the man and the son, would be the man.

The man and the boy can have the same kinetic energy if the son was running faster than his father.

Who has more kinetic energy ?

Since the man has a greater mass than his son and they are running at the same speed, the man will have more kinetic energy. This is because the kinetic energy is directly proportional to the mass when the velocity is constant.

For them to have the same kinetic, the son would have to run at a higher speed than the man, so that the product of 0.5 * mass * speed^2 is equal for both of them. In other words, the smaller mass of the son would need to be compensated for by a higher velocity (speed), resulting in equal kinetic energy.

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On a distance-time graph, which is your independent and dependent variable?

Answers

Answer:

On a distance time graph, the distance will always be the dependent variable on the y- axis. Time is the independent variable and will always be placed on the x-axis. The lines on the graphs can tell you many different things.

Explanation:

ANSWER:

the dependant variable is on the y axis and the independent variable is on the x axis.

A5 kg football is launched 45 degrees above the horizontal at a speed of 26 m/s.
What is the time of flight for the football from the point it left the ground until it hit the ground?

Answers

time to teach the highest point t
V = u + at
0= 26 Sin (45) - 9.8 t
9.8 t = 18.4
t = 1.88 seconds.
Total time in flight = 2 x 1.88 = 3.76 s

What does Newton's law all about?

Answers

Newton's law is all about motion

small navigational rockets are used to change the speed and direction of the space probe voyager ii.if a rocket exerts a force of 29 n , how long must the rocket fire to change the speed of the 722- kg probe by 1.0 m/s ?

Answers

The time taken for the rocket to apply the force is 25 seconds.

How long must the rocket applied the force?

The time taken for the rocket to fire or apply the force to change the speed  of the probe is calculated as follows;

F = ma

where;

m is the mass of the probea is the acceleration of the probe

F = mv / t

where;

v is the speed of the rockett is the time taken for the force to be appliedF is the applied force

The time taken for the rocket to apply the force is calculated as;

t = mv / F

t = (722 x 1) / (29)

t = 24.9 s

t ≈ 25 seconds

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determine whether the following statements are true or false with appropriate justification.you do not need to include system diagram, assumptions, and basic equations for this problem.(a) there are neither mass nor energy interactions for a closed system.(b) volume of a closed system cannot change.(c) composition of a closed system can change.(d) there are neither mass nor energy interactions for an open system.

Answers

Answer:

what is magnetic domain

Un móvil se encuentra en la posición inicial x0 = 22 m, y se mueve con velocidad 5 m/s. Calcula la posición en la que se encuentra en el instante t = 30 s.

Answers

Answer:

La posición en la que se encuentra el móvil en el instante t = 30 s es 172 m.

Explanation:

El movimiento rectilíneo uniforme (MRU) es el movimiento que describe un cuerpo o partícula a través de una línea recta a velocidad constante.

La distancia recorrida,  x , por un móvil que tiene un MRU con un velocidad  v  durante el intervalo de tiempo  t  es:

x= x0 + v*t

donde x0 es la posición inicial.

En este caso:

x0= 22 mv= 5 m/st= 30 s

Reemplazando:

x= 22 m + 5 m/s* 30 s

Resolviendo:

x= 22 m + 150 m

x= 172 m

La posición en la que se encuentra el móvil en el instante t = 30 s es 172 m.

A body moves uniform acceleration of 10m/s² covers a distance of 320m if it's unitial velocity was 60m/s. Calculate its final velocity

Answers

Knowing the acceleration, distance and initial velocity of a body, its final velocity is 100 m/s.

The final velocity of a body with uniform acceleration can be calculated using the formula:
Vf² = Vi² + 2aΔx

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and Δx is the change in distance.

Plugging in the given values:
Vf² = (60m/s)² + 2(10m/s²)(320m)
Vf² = 3600m²/s² + 6400m²/s²
Vf² = 10000m²/s²
Vf = √(10000m²/s²)
Vf = 100m/s

Therefore, the final velocity of the body is 100m/s.

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If u have a old dogs and it starts whining and it's legs lockup ,and wont let u pick it up. What do i do Im s scared?

Answers

dont panic maybe tell an adult do some research online ? suggest maybe going to the beg to be safe

The dog MUST be SEEN by a vet.

Not on the phone, not from your description. Not a web search, and not asking for advice online.

A qualified veterinarian has to have his hands on the animal, examine the dog, and make some suggestions. It might cost some money.

There's something missing here. A qualified real vet will never just say "I don't know, good bye!".

Write a set of turtle instructions to draw an AND gate.

Answers

The turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

To draw an AND gate using turtle graphics, you can use the following set of instructions:

Set up the turtle:

a. Set the turtle's initial position.

b. Set the turtle's pen color and size.

Draw the first input line:

a. Move the turtle forward to the starting point of the line.

b. Draw a straight line segment to represent the first input.

Draw the second input line:

a. Move the turtle to the starting point of the second line.

b. Draw a straight line segment to represent the second input.

Draw the output line:

a. Move the turtle to the starting point of the output line.

b. Draw a straight line segment to represent the output.

Draw the logic gate shape:

a. Move the turtle to the starting point of the gate.

b. Draw a rectangle to represent the gate.

c. Add any necessary labels or symbols to indicate it as an AND gate.

Add connections between lines and gate:

a. Move the turtle to the intersection point of the first input line and the gate.

b. Draw a small line segment to connect the input line to the gate.

c. Repeat the above step for the second input line and the gate.

d. Draw a small line segment to connect the output line to the gate.

Repeat the above steps as necessary to draw multiple AND gates or any additional components.

Remember to adjust the turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

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What do scientists know about the future of the universe?

what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter

Answers

Answer:

Gravity will cause a closed universe to collapse back on itself ending in the Big Crunch. scientific predictions about the future of the universe are based on the idea that the effect of gravity on matter determines the shape of the universe which then determines its future

Scientists know about the future of the universe and that stars will eventually burn out causing the universe to become cold and dark. Therefore, option C is correct.

What is the future of the universe?

All of the stars and galaxies will ultimately run out of energy as the universe expands, and the universe will cool down, resulting in the "Big Chill." It will take an indefinite amount of time for gravity to stop the universe's expansion if its density is equal to the critical density.

There won't be any other galaxies visible outside of our own. The universe will then actually become cold, dark, and empty once the stars have burned out.

Scientists know about the future of the universe and that stars will eventually burn out causing the universe to become cold and dark. Therefore, option C is correct.

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in fig. 5-7, is the magnitude of the normal force fn greater than, less than, or equal to mg if the block and table are in an elevator moving upward (a) at constant speed and (b) at increasing speed?

Answers

When the block and table are in an elevator moving upward at a constant speed, the magnitude of the normal force (Fn) is equal to the weight (mg) of the block.

This is because there is no net force acting in the vertical direction, so Fn balances out the weight of the block.

If the elevator is moving upward at an increasing speed, the magnitude of the normal force (Fn) will be greater than the weight (mg) of the block. The additional upward acceleration of the elevator requires an additional upward force to accelerate the block. The normal force must be greater than mg to provide this extra force and maintain equilibrium.

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How much work must be done on a spring with a spring constant of 80 N/m to stretch the spring 20 cm?

Answers

The amount of work that must be done on the spring to stretch it to 20 cm is 1.6 J.

What is the amount of work done on the spring?

The amount of work done on the spring is calculated by applying the following formula as shown below.

W = ¹/₂kx²

where;

k is the spring constantx is the extension of the spring

The amount of work that must be done on the spring to stretch it to 20 cm is calculated as follows;

W = ¹/₂ x ( 80 N/m ) x ( 0.2 m ) ²

W = 1.6 J

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a piece of thrown pottery is created using this potter’s tool

Answers

The potter's tool used to create a piece of thrown pottery is the potter's wheel.

In pottery making, a variety of tools are used to shape and create pottery. One of the most important tools is the potter's wheel. The potter's wheel is a rotating platform that allows the potter to shape the clay into various forms. It consists of a circular disc that spins on a central axis. The potter places a lump of clay on the wheel and uses their hands to shape it as it spins.

The potter's wheel provides a stable and controlled surface for the potter to work on. It allows them to easily shape the clay and create symmetrical forms. By applying pressure and manipulating the clay with their hands, the potter can create bowls, vases, plates, and other pottery pieces.

Other tools used in pottery making include the potter's kiln, which is used to fire the pottery and harden it. The kiln reaches high temperatures, causing the clay to undergo chemical changes and become durable. Additionally, potters use various hand tools such as clay modeling tools, carving tools, and brushes to add details and texture to the pottery.

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In organizational behavior, knowing when to apply ob knowledge and tools to a particular circumstance is an important part of? What is the slope of (4,6) (-1,-4) Where to find descartes rule of signs and asymptote of a rational function outside of the classroom Lynux Ltd has a WACC of 10%. It pays 6% on the debt issued. Lynux has $200 m of debt outstanding, while the equity value is $100 m. What is the cost of equity capital? Ignore tax in the calculation. If researchers are examining the relationship between age and memory, describe the different information that would be provided by using a t-test versus a correlation coefficient. Which statement describes homeostasis?Responsesa. It is a process of maintaining an internal state of balance for an organism.b. It is a process of maintaining an external state of balance for an organism.c. It is how an organism reacts to external factors.d. It is how an organism reacts to internal factors. A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Bywhat percent is the student's estimate off? consider creating data visualizations that illustrate the following information: how have the costs of goods sold (cogs) changed over the course of the year? how has the profit percentage changed over the course of the year? A patient's authorization for disclosure of PHI must include the purpose of the disclosure and what information is to be released if the PHI relates to a. sexually transmitted diseases b. treatment for substance abuse c. adoption d. pregnancy and genetic diseases Nitrogen dioxide (NO2) gas and liquid water (H20) react to formaqueous nitric acid (HNO3) and nitrogen monoxide (NO) gas. Suppose you have 1.0 mol of NO, and 7.0 mol of H, 0olleCalculate the largest amount of HNO, that could be produced. Round your answer to the nearest 0.1 mol.in a reactor.Imo1x? In this exercise, you are to modify the Classify Numbers programming example in this chapter. As written, the program inputs the data from the standard input device (keyboard) and outputs the results on the standard output device (screen). The program can process only 20 numbers. Rewrite the program to incorporate the following requirements:Data to the program is input from a file of an unspecified length; that is, the program does not know in advance how many numbers are in the file.Save the output of the program in a file.Modify the function getNumber so that it reads a number from the input file (opened in the function main), outputs the number to the output file (opened in the function main), and sends the number read to the function main. Print only 10 numbers per line.Have the program find the sum and average of the numbers.Modify the function printResult so that it outputs the final results to the output file (opened in the function main). Other than outputting the appropriate counts, this new definition of the function printResult should also output the sum and average of the numbers on their own line.An example of the program's output file is shown below:143 11 286 37 173 234 -265 -286 85 186 267 266 62 -139 -3 80 -225 10 141 142 166 241 -26 3 -167 76 169 31 -27 167 17 -65 77 -32 13 265 46 245 -261 22 The sum of numbers = 2165The average is 54For c++.. Protocols that established the Ghana's EPA Which type of wave requires a material medium through which to travel?A: SoundB: TelevisionC: RadioD: X Ray What is the mode of this set of numbers, 5,6,3,5,3,5,6 Instructions: Revise the sentence to include a noun phrase.1.) My father is a former trumpet player; he encouraged me to take lessons.Answer choices for the above questionA. My father was a former trumpet player who encouraged me to take lessons.B. My father was a former trumpet player, and he inspired me to take lessons.C. A trumpet player encouraged me to take lessons.D. No change is needed. which of the following will terminate a contract? a contract cannot be terminated. the agreed to amendment of a contract assignment of the contract abandonment of the contract Opinion polls indicate that within the U.S., popular concern over threats to the environment is higher than it has ever been. true or false A direct variation includes the points (2,18) and (n,9). Find n? In what sense do externalities cause the ""invisible hand"" of the marketplace to fail?. please help this should be submitted today