Any system for which the acceleration is linearly proportional to the position (with a negative proportionality constant), or ax= -ω^2 x, undergoes simple harmonic motion, a form of oscillatory motion. The mathematical solution to this is x(t)=Acos(ωt) where A is the amplitude and ω=2(π/T) is the angular frequency (f is the frequency in Hz and T is the period). For a mass on a spring, ω2=k/m.
A 0.1 kg mass on a spring with k = 5 N/m is stretched from its equilibrium position by 15 cm and then released.
a) If you initially stretched the spring by 30 cm instead of 15 cm, what would the oscillation frequency be in Hz?
b)If you initially stretched the spring by 30 cm instead of 15 cm, what would the oscillation period be in seconds?
c) If the spring had twice the spring constant, what would be the new frequency of the oscillations in Hz?
d) If the object on the spring was four times as massive, what would be the frequency of the oscillations?

Answers

Answer 1

If the spring is stretched by 30 cm instead of 15 cm, the new amplitude of the oscillation will be A = 0.3 m - 0.15 m = 0.15 m.

a) If the spring is stretched by 30 cm instead of 15 cm, the new amplitude of the oscillation will be A = 0.3 m - 0.15 m = 0.15 m. The frequency of the oscillation can be found by using the formula ω = √(k/m), where k is the spring constant and m is the mass. Thus, ω = √(5 N/m / 0.1 kg) = 2.236 rad/s. The frequency in Hz is f = ω / 2π = 0.356 Hz.
b) The period of oscillation can be found by using the formula T = 2π/ω. Thus, T = 2π / 2.236 = 2.81 s.
c) If the spring had twice the spring constant, the new spring constant k' would be 2k = 10 N/m. The frequency of the oscillation can be found by using the formula ω' = √(k'/m) = √(10 N/m / 0.1 kg) = 4.472 rad/s. The frequency in Hz is f' = ω' / 2π = 0.711 Hz.
d) If the object on the spring was four times as massive, the new mass m' would be 0.4 kg. The frequency of the oscillation can be found by using the formula ω' = √(k/m') = √(5 N/m / 0.4 kg) = 0.994 rad/s. The frequency in Hz is f' = ω' / 2π = 0.158 Hz.

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Related Questions

plsss anyone help I BEG. its not that hard im just lazy and don't feel like thinking3

Answers

Answer:

Well I think you should think

4. A group of students made a rocket and launched it vertically upwards with velocity
of 27ms^-1. What is the total distance travelled by the
rocket?

[Assume g=10ms^2]​

Answers

Answer:

Approximately [tex]72.9\; \rm m[/tex], assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.

Explanation:

Initial velocity of this rocket: [tex]u = 27\; \rm m\cdot s^{-1}[/tex].

When the rocket is at its maximum height, the velocity of the rocket would be equal to [tex]0[/tex]. That is: [tex]v = 0\; \rm m \cdot s^{-1}[/tex].  

The acceleration of the rocket (because of gravity) is constantly downwards, with a value of [tex]a = -g = -10\; \rm m \cdot s^{-2}[/tex].

Let [tex]x[/tex] denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate [tex]x \![/tex] to [tex]u[/tex], [tex]v[/tex], and [tex]a[/tex]:

[tex]\displaystyle x = \frac{v^2 - u^2}{2\, a}[/tex].

Apply this equation to find the value of [tex]x[/tex]:

[tex]\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{\left(0\; \rm m\cdot s^{-1}\right)^{2} - \left(27\; \rm m \cdot s^{-1}\right)^{2}}{2 \times 10\; \rm m \cdot s^{-2}} = 36.45\; \rm m\end{aligned}[/tex].

In other words, the maximum height that this rocket attained would be [tex]36.45\; \rm m[/tex].

Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of [tex]2\times 36.45\; \rm m = 72.9\; \rm m[/tex].

If Steve races on the highway going south for 2430 meters in 40 seconds what is his velocity?

Answers

Answer:  60.75 m/s

Explanation:

2430 m / 40s = 60.75 m/s

What causes a liquid to freeze? A. When particles speed up and get closer together. B. When particles stop moving. C. When particles slow down and get closer together. D. When particles speed up and get farther apart.​

Answers

Answer:The answer is C

Explanation:

what is the unit scientist use to measure energy?

Answers

answer:

scientists use a measurement called BTU to measure energy

What is potential energy?

Answers

the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors

A female skater with mass 45 kg and velocity 7 m/s leaps into her partner's arms. If her partner is has a mass of 60 kg and a forward velocity of 1.5 m/s, how fast are the two of them going after he catches her?

Please provide an explanation, random answers will be reported thank you.​

Answers

Explanation:

this is the answer for your question further if you have any doubts

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password:n8LXQW

in root pass welding, that electrode we are going to use?​

Answers

Answer:

The root pass is made with a 5/32” (4.0mm) diameter electrode. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.

Explanation:

In root pass welding, that electrode we are going to use cellulosic electrode (E-XX10).

What is root pass welding?

Short arc welding is commonly used for root pass welding to prevent blow through and overheating at the weld joint. Because there is less drooping and suck back, short arc welding is also commonly used on root pass joints.

The first pass in any welding process that combines two pieces or members into one structure is referred to as the root pass.

Subsequent passes raise the weld depth to the desired thickness, resulting in the required strength. The first pass usually serves as the foundation for subsequent filler passes.

A 5/32" (4.0mm) diameter electrode is used for the root pass. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.

Thus, cellulosic electrode (E-XX10) for this.

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Motion Quiz 1
Part I. Vocabulary (5 points each)
1. The location of an object.
2. A change in the position of an object in reference to a starting point. 3. A change in the position of an object that includes distance and direction. 4. North, south, right, and down are all examples of ________. 5. How fast or slow something moves over a given distance per unit of time. 6. A unit of measurement for time.
Part II. Multiple Choice (10 points each)
Direction
Displacement Meters
Minutes
Motion
Position
Speed

A toy robot moved from a starting point, traveling in a straight line at different speeds and then turning around and returning to the starting point at different speeds.

7. What is the total distance that the toy robot traveled?
A. 12 m
B. 24 m
C. 48 m
D. 96 m
8. A cyclist travels 3 km north in 25 minutes. What does this information describe?
A. mass
B. force
C. motion
D. gravity
9. A book is lying on a seat in a car that is moving at 50 kilometers per hour (km/h). The driver says that the book is not moving. An outside observer says the book is moving at 50 km/h because it is in the car. Which is the most logical conclusion for these two statements?
A. Motion is detected only if the car accelerates and is measured by the observer.
B. Motion is absolute, and the driver is incorrect saying that the book has no motion.
C. Motion is relative to a given frame of reference, and both the driver and observer are correct.
D. Motion is constantly changing so neither person’s statement will be correct when the car slows down.
10. Which measurement describes the speed of a rubber ball?
A. 5 cm
B. 10 m/s
C. 15 newtons
D. 50 grams
11. A change in the position of an object as time changes best describes
A. direction.
B. waves.
C. motion.
D. frequency.
12. A school bus moves past a parked car at a speed of 30 km/h. Which of the following best describes the observation made by a passenger on the bus?
A. The car appears to be moving 30 km/h in the same direction as the bus.
B. The car appears to be moving 30 km/h in the opposite direction of the bus. C. The car appears to be moving 15 km/h in the same direction as the bus.
D. The car appears to be moving 15 km/h in the opposite direction of the bus.
13. Calculate the speed when the distance travelled is 800 km and the time is 40 seconds. A. 200 km/sec
B. 320 m/sec
C. 20 km/sec
D. 32 m/sec

Answers

Do you still need help with this question

An element carries a_____charge

Answers

Answer:

The charge of an element is equal to the number of protons minus the number of electrons. The number of protons is equal to the atomic number of the element given in the periodic table. The number of electrons is equal to the atomic number minus the charge of the atom.

Explanation:

Answer:

hydrogen sometimes has a charge of zero or (less commonly) -1. Although noble gas atoms almost always carry a charge of zero, these elements do form compounds, which means they can gain or lose electrons and carry a charge.

Explanation:

One of the largest planes ever to fly, and the largest to fly frequently, is
the Ukrainian-built Antonov An-124 Ruslan. Its wingspan is 73.2 m
and its length is 69.2 m. The gravitational potential energy associated
with the plane at an altitude of 1.45 km is 3.36 x 10^9 J. What is the airpanes mass

Show work pls :)

Answers

The gravitational potential energy associated with the plane is 2.36 x [tex]10^{5}[/tex] J

What is gravitational potential energy?

Gravitational potential energy is energy an object possesses because of its position in a gravitational field.

It is given by P.E = mgh

where m = mass

g= acceleration due to gravity

h = height of the object

Here,

h = 1.45km  = 1450 m

P.E = 3.36 x [tex]10^{9}[/tex] J

g = 9.8m/[tex]s^{2}[/tex]

therefore, m = P.E/ gh = (3.36 x [tex]10^{9}[/tex]s J)/ 9.8 x 1450

m = 2.36 x [tex]10^{5}[/tex]

Hence mass of the airplane is 2.36 x [tex]10^{5}[/tex]

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calculate the change in gravitational potential energy of a stone of mass 0.55 kg as it falls through a distance of 2.7 m. ignore air resistance (mention formula)

Answers

Answer:

14, 85 J

Explanation:

The formula of potential Energy (P.E.) is

P.E. = m * g * h, where m is the mass in kilograms, g is the acceleration due to gravity (about 10 m / [tex]s^{2}[/tex] at the surface of the earth) and h is the height in meters.

Here P.E. is 0,55 kg * 10 m/s * 2,7 m = 14, 85 J

PlEaSe HeLp MeE
What is the gpe of a rock weighing 100N that is sitting on top pf a hill 300 m high?

Answers

Answer:

Gpe = 30000J

Explanation:

Given the following data;

Weight = 100N

Height = 300m

To find the gravitational potential energy (gpe);

Gravitational potential energy can be defined as an energy possessed by an object or body due to its position above the earth surface.

Mathematically, potential energy is given by the formula;

[tex] G.P.E = mgh[/tex]

Where,

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Gpe = mgh

But weight = mg = 100N

Substituting into the equation, we have:

Gpe = 100*300

Gpe = 30000J

A 5000ton frieight is moving at a speed of 10mph, next to it a 3250lb Ferrari at a speed of 250mph. Both hit the break, but who stops first?

Answers

Answer:

Ferrari would stop first.

Explanation:

The momentum of a moving body is given as:

momentum, P = mass of the body x its velocity

i. For the Freight,

mass = 5000 tons = 4535924 kg

speed = 10 mph  = 4.4704 m/s

P = mv

  = 4535924 x 4.4704

  = 20.28 x [tex]10^{6}[/tex]

P = 20.28 x [tex]10^{6}[/tex] kgm/s

ii. For the Ferrari,

mass = 3250 lb = 1474.175 kg

speed = 250 mph = 111.76 m/s

P = mv

   = 1474.175 x 111.76

   = 16.48 x [tex]10^{4}[/tex]

P = 16.48 x [tex]10^{4}[/tex] kgm/s

Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.

Two photographers are competing for business in town. Andrea uses only film photography and Keira uses only digital photography. Keira claims that the digital technology is superior, and her advertisement claims that the images can be stored, shared, and copied more easily. They can even be sent long distances using a series of wave pulses to transmit the information. Andrea replies that digital images can be stolen and altered more easily.
Do the advantages outweigh the disadvantages, or do both sides have valid points? Support your answer with at least three reasons

Answers

There is no right or wrong answer, your teacher wants you to support your own answer with points. As long as the reasons make logical sense you are fine.

I think they both have valid points. Their replies are both true, but from a buyer's perspective who would you purchase services from? You would get different answers depending on who you ask.

If you choose to go old school, obviously you get an actual photo that can be stored physically. This means it is a memory that can be preserved, and it might feel more nostalgic being able to touch the photo.

On the other hand, a digitally stored photo can be altered (photoshop), but it is forever as long as the internet still exists. A physical photo would fade with time, which doesn't happen with a digital photo.

It is definitely easier to argue that digital photography has more advantages (they do, it is why nobody uses film anymore)

Points you can consider:

Can be transferred to the other side of the world instantly

Ability to make copies and print as many photos as you want

Can be stored on cloud/devices and be like that forever

Compare them with film photography to give a more solid response.

A 9Ω resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.​

Answers

Answer:

the ans i 1 ohm

Explanation:

if i cut a resistor of 9 ohm into 3 equal parts then each resistor will have a resistance of 3 ohm and if they are in parallel combination the net resistance will be R

so 1/R=1/R1+1/R2+1/R3

     1/R=1/3+1/3+1/3

      R=1


Usain Bolt runs at 200 meters in 20.0 seconds. How fast does he run? speed = distance / time

Answers

Answer:

22.369363 mi/h

Explanation:

Average Speed Calculation - suppose we want to calculate Usain Bolt's average speed during his world record winning 100 m sprint race in Berlin on August 16, 2009. What do we know?

We want to calculate Bolt's average speed

The distance was, of course, 100 meters

Bolt ran the distance in 9.58 seconds.

Bolt ran 11.42 yards per second during the race. Setting meters per second, you get 10.44 mp/s; miles per hour - 23.35 mph; kilometers per hour - 37.58 km/h; etc.

Travel Time Calculation - Suppose, you drove 21 miles with an average speed of 45 miles per hour. How long did you drive?

You traveled 28 minutes.

Distance Calculation - Let's calculate, how many miles you can travel, driving 2 hours and 30 minutes with an average speed of 55 miles per hour?

As you can see, the answer is 137.5 miles or 221.28 kilometers or 119.48 nautical miles, etc.

Assume, V - stands for average speed (velocity), T - stands for traveling time, and D - stands for traveled distance.

Average speed can be calculated by using the formula: V = D/T

The traveled distance can be calculated as D = V*T

Traveling time can be calculated using: T = D/V

Using the formulas remember about the units. For example, if the distance is given in meters and the time is given in seconds, the calculated average speed is given in meters per second. To convert it to other units of measurement, you can use our speed converter. If the distance is given in yards and speed is given in miles per hour, to get time in hours, you HAVE TO convert yards to miles or miles per hour to yards per hour first.

An object spins with an angular momentum of 8.9 kg⋅m2 /s. A torque on the object causes it to slow to a stop in 5.2 s. What was the angular impulse on the object? What was the average torque on it? Analyze and Sketch the Problem

List Knowns and Unknowns Knowns Unknowns Li = ____________________ Lf = ________________ _____________ = ? ∆t = _________________ _____________ = ? SOLVE FOR THE UNKNOWNS a. Determine the angular impulse from the change in angular momentum b. Apply the impulse-momentum theorem to determine the Torque EVALUATE THE ANSWER Is the unit of torque correct? ______________________________________________________________ Is the magnitude of the torque realistic? _____________________________________________________

Answers

Answer:

Explanation:

Li = 8.9 kg m² /s , Lf = 0

Time = Δt = 5.2 s

Angular impulse = change in angular momentum = Li - Lf

= 8.9 - 0 = 8.9 kg.m²/s .

Average torque = angular impulse / time

= 8.9 / 5.2 = 1.711  kg m² / s²

Li = 8.9 kg m² /s , Lf = 0

Δt = 5.2 s

unit of torque = force x distance = mass x acceleration x distance

= kg . m /s² x m

= kg m² / s²

Which of the following would decrease the overall force felt between two charges the most?

Question 9 options:
A. Doubling the charge on the first object
B. Doubling the charge on the second object
C. Doubling the distance between the charges

If one charge is tripled and the other is cut in half, what happens to electric force?

Question 10 options:
A. It is decreased by 10 times the original force
B. It is increased by 1.5 times the original force
C. It is increased by 10 times the original force
D. It is decreased by 1.5 times the original force

Answers

Doubling the distance between the charges would decrease the overall force felt between two charges the most. The force felt between two charges is inversely proportional to the square of the distance.

What is Columb's law?

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

[tex]\rm F= \frac{Kq_1q_2}{r^2}[/tex]

The force felt between two charges is inversely proportional to the square of the distance.

Doubling the distance between the charges. The force felt between two charges is decreased 4 times the previous force.

Doubling the distance between the charges would decrease the overall force felt between two charges, the most.

Hence, option C is correct.

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Identifying Applications of Electromagnetic Waves
Quick
Check
Match the electromagnetic wave with its application.
ultraviolet waves
disruption of DNA production in bacteria
and viruses
gamma rays
destruction of cancer cells
X-rays
diagnosis of illnesses through medical
imaging

Answers

Answer:

gamma ray-destruction of cancer cells

Ultraviolet wave-disruption of DNA

X-ray-diagnosis of illnesses through medical

Explanation: on edg

Answer:

Here

Explanation:

Wave Properties
With the help of their science teacher, Kaden and Mariam made a machine that can move a slinky back and forth. This motion
creates a fast-moving wave in the slinky. The image below is a model of a wave that is generated by the machine. The frequency of
the wave modeled in the image is 4 Hz.
3 m
What is the speed of the wave?
OA. 24 m/s
ОВ.
1.25 m/s
OC.
0.75 m/s
OD
12 m/s

Answers

the wave has a speed of 12 m/s.

Explanation:

Speed is directly proportional to wavelength and frequency. The wave has a frequency of 4 Hz. One Hertz (Hz) is equal to one cycle per second. The image shows that the wave has a wavelength of 3 m. Using the given speed and frequency, the wavelength can be calculated as shown below.

speed= wave length x frequency

speed = 3m x 4Hz

speed = 12m m/6

File Is Attached To The Question

Answers

1. Graph A matches description 2 because the line is straight and travelling upwards at a constant speed (positive, constant slope).
2. Graph B matches description 4 because the line is flipped, travelling the opposite direction at a constant speed (represents the car turning around and driving the other way compared to graph A)
3. Graph C matches description 1 because the line is horizontal and is not moving (when the line is horizontal and remains constant, the object is not accelerating, it is stationary)
4. Graph D matches description 3 because of the way the line moves on the graph- accelerates and then starts to flow more horizontally, not accelerating as quickly anymore and remaining at a lower speed.

Please help with this !!!!!!

Answers

Answer:

answer is d from my guess

example of unlile parallel forces​

Answers

Answer:

Explanation:

In mechanical engineering, a parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, with the counter force in the middle. An example of this is a see saw.

Forces which are parallel and acting a similar way are called like parallel forces. Like Parallel forces are the forces that are parallel to each other and have the same direction. Unlike parallel forces are the forces that parallel yet have directions inverse to each other.

when the parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, Two forces that are parallel can either be in the same direction or in opposite directions.

(hope this helps can i plz have brainlist :D hehe)

which two criteria are least important for engineers to consider when developing a process to produce an important chemical

Answers

Answer:

Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate

Explanation:

Answer:

A. the process needs to produce significant amounts of ammonia

C. the process needs to be able to be performed safely

Explanation:

a p e x

a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration​

Answers

Answer:

The magnitude of the acceleration is 1.6 m/s².

Explanation:

We can find the magnitude of the acceleration by using the following equation:

[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

[tex] x_{f}[/tex]: is the final position = 80 m

[tex] x_{0[/tex]: is the initial position = 0

[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)

a: is the acceleration =?

t: is the time = 10 s

Hence, the acceleration is:

[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]

Therefore, the magnitude of the acceleration is 1.6 m/s².

I hope it helps you!          

How does an atom change if all of its electrons are removed?

Answers

Answer: If all the electrons of an atom are removed, it will change to become a positively charged ion called a cation.

Explanation:

Answer:

The atom becomes positively charged.

Explanation:

What is one enThe law of conservation of energy states that energy can neither be created nor destroyed. What does “conservation” mean in this law?ergy transformation that is taking place in the photo?

Answers

Answer:

The preservation of a physical quantity during transformations or reactions.

Explanation:

what type force does this depict?

Answers

Answer:

c. gravitational force

Explanation:

What is the main reason people and bears slip and fall on ice, be careful when outside in the snow/ice.

Answers

Answer:

Both ice and snow have a lower coefficient of friction in comparison with grass, wood or pavement.

Explanation:

The main reason why people and bears, slip and fall on ice/snow is that both ice and snow have a lower coefficient of friction in comparison with grass, wood or pavement. We present below a comparative chart of coefficients of friction associated with different materials:

Material       Coefficient of Friction - Static                  

Ice/Snow                   0.05 - 0.3

Wood                          0.2 - 0.6

Asphalt                        0.5 - 0.7

Grass                            0.3 - 0.5

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explain why lda is a better base than butyllithium for the deprotonation of a ketone. an earthquake with a magnitude of 6.5 on the richter scale releases about _________ times more energy than one with a magnitude of 5.5. when astronomers say that ganymede is a differentiated body, they mean that it: a. has a northern hemisphere which is different from its southern hemisphere b. has more of the larger crater types than the smaller ones c. has a magnetic field that is not centered on its axis of rotation d. has a heavier core, surrounded by a lighter, icy mantle and crust e. has a color that is surprising among outer solar system satellites Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?46810(PLEASE ANSWER if you got it right on EDGE 2023) .Given an interest rate of 5.7 percent per year, what is the value at date t = 10 of a perpetual stream of $4,100 payments that begins at date t = 20?Perpetuity Value = ? FILL IN THE BLANK After World War II, the Soviet Union designated many of the countries of Eastern Europe as ____ states. the major intent of behavioral exchange theory procedures is to help couples Homework: Ch 4. 3A woman bought some large frames for $17 each and some small frames for $5 each at a closeout sale. If she bought 24 frames for $240, find how many of each type she boughtShe bought large frames. Which of the following best describes Faraday's constant? Select the correct answer below: Faraday's constant is the charge of 1 mol of electrons. Faraday's constant is the negative of the product of total charge and cell potential. Faraday's constant is the difference between the theoretical potential and actual potential in an electrolytic cell. Faraday's constant is the quantified ability of an electric field to do work on a charge Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function P(t). P(t) = 27t + 12t^2 - t^3 Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns. the guitar playing style of bossa nova developed from _______________. You are deploying a new 10GB Ethernet network using Cat6 cabling. Which of the following are true concerning this media? (choose 2)It is completely immune to EMI. It includes a solid plastic core. It supports multi-mode transmissions. It uses twisted 18 or 16 gauge copper wiring. It supports 10 GB Ethernet connections Which statement is true about MDCs (more-developed countries)? These countries have high world trade involvement.These countries have low per capita incomes. These countries have mainly agrarian economies.These countries are just entering world trade.The majority of their populations stay in rural areas. claire's three grandchildren live with her because their mother is in jail. the term for the family structure that best describes the household of claire and her grandchildren is: Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $24.50. The oil change for the other car required 7 quarts of oil and cost $29.00. How much is the labor fee and how much is each quart of oil?The labor fee is $____and each quart of oil costs $___ What is the g of the following hypothetical reaction? 2a(s) b2(g) 2ab(g) given: a(s) b2(g) ab2(g) g = -147.0 kj 2ab(g) b2(g) 2ab2(g) g = -632.7 kj calculate the volume of a solution that has a density of 1.5 g/ml and a mass of 3.0 grams. which of the following are primary organs of the urinary system? check all that apply. determine the set of points at which the function is continuous. f(x y) = arctan(x 3 y ) in order correct up two bit errors, and detect three bit errors without correcting them, with no attempt to deal with four or more, what is the minimum hamming distance required between codes?