A 45-kg child sits on a 3.2-kg tire swing. What is the tension in the rope that hangs from a tree branch?

Answers

Answer 1

Answer:

472.36 N

Explanation:

The total mass with the tire and child would be 45 kg + 3.2 kg = 48.2 kg

Ft = force tension

Fg = force of gravity

Fnet=0 (because child is motionless and not accelerating)

0 = Ft - Fg

Ft = Fg

Ft = m*g

Ft = 48.2 kg * 9.8 m/s^2

Ft = 472.36 N

Hope this helps!!

Answer 2

A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

The parameters given in the question is

Mass of the child= 45 kg

Mass of the tire swing attached to the tree= 3.2 kg

What is Tension?Tension can be defined as the force that can gets transmitted through a rope, string or wire when they are pulled through any forces that should acting from opposite sides.The tension force can be directed throughout the length of the wire and also it pulls the energy equally on the bodies at the ends.All the physical object which will be in contact exerts some force on one another.

The first step is to calculate the total mass. The total mass can be calculated as follows;

= Mass of the child + mass of the tire swing

= 45 + 3.2

= 48.2 kg

The tension can be calculated as follows,

= mass × acceleration

= 48.2 × 9.8

= 472.36

Hence, A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

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Related Questions

what do you understand by domestic wiring or what are household electric circuits ??


please answer quick !!!​

Answers

Explanation:

Domestic wiring is house wiring were phase/live wire,neutral wire,earth wire is used that functions in giving the electricity to our home except in case of neutral wire

The upper end of a 3.80-m-long steel wire is fastened to the ceiling, and a 54.0-kg object is suspended from the lower end of the wire. You observe that it takes a transverse pulse 0.0492 s to travel from the bottom to the top of the wire.

What is the mass of the wire?

Answers

The linear density of the wire: μ = T/v^2 = 1,057 N / (77.23 m/s)^2 = 1.46 x 10^-3 kg/m.

To find the mass of the wire, we can use the formula for the speed of a transverse wave on a string, v = sqrt(T/μ), where T is the tension in the string and μ is the linear density (mass per unit length) of the string. We can rearrange this formula to solve for μ: μ = T/v^2.

First, we need to find the tension in the string. The weight of the object (F = mg) creates a tension in the wire (T = F + mg), where g is the acceleration due to gravity. Plugging in the values, we get T = (54.0 kg)(9.81 m/s^2) + (54.0 kg)(9.81 m/s^2) = 1,057 N.

Next, we need to find the speed of the wave on the wire. The wave speed is equal to the distance traveled (the length of the wire, L) divided by the time it takes for the wave to travel that distance (0.0492 s). So, v = L/t = 3.80 m / 0.0492 s = 77.23 m/s.

Finally, we can plug in our values for T and v to find the linear density of the wire: μ = T/v^2 = 1,057 N / (77.23 m/s)^2 = 1.46 x 10^-3 kg/m.

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Which of the following is a vector quantity?
A. 30 m/s going west
B. 100 mph maximum
C. 25 gallons of water
D. 35.6 pounds at 3 years old

Answers

Answer:It’s A

Explanation:

Answer: 30 m/s going west

Explanation:

APE X

A dart is thrown horizontally with an initial speed of 12m/s toward point P, the bulls-eye on a dart board. It hits at point Q on the rim, vertically below P,0.32s later. (a) What is the distance PQ? (b) How far away from the dart board is the dart released?

Answers

(a) To find the distance PQ, we can use the kinematic equation:

d = vi×t + 0.5×a×t².

where d is the distance, vi is the initial velocity (in this case 12 m/s horizontally), t is the time (0.32 s), and a is the acceleration due to gravity (9.8 m/s^2 downward).

Since the initial velocity is horizontal, the only acceleration acting on the dart is gravity, and we only need to consider the vertical displacement of the dart.

d = vi×t + 0.5×a×t²  d = 0 + 0.59.8×0.32²   d = 0.32 m

So the distance PQ is 0.32 m.

(b) To find the distance from the dart board where the dart was released, we need to find the horizontal displacement of the dart. We can use the same kinematic equation, but this time consider only the horizontal component of the initial velocity.

d = vi×t d = 12 m/s × 0.32 s   d = 3.84 m

So the dart was released 3.84 m away from the dart board.

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Brandon buys a new Seadoo He goes 12 km north from the beach . He jumps wakes for 6 km to the east . What distance cover ? What was his displacement ?

Answers

Answer:

distance- I think it is 6 then the displacement is 13.41

Explanation:

Vi VE
5. A train accelerates from 60 km/h to 150 km/h and travels 600 m. How long does
this motion take?
2.0.6
600 m.

Answers

Answer:

50%.......

Explanation:

is the correct check it then send feedback

The following statements describe ways in which the analogy might apply to the real universe. Which statements are correct?
a. The universe is like a giant clock.
b. The universe is like a vast, complex machine.
c. The universe is like a living organism.
d. The universe is like a giant, cosmic computer.

Answers

All of these statements could potentially apply to the real universe, depending on the perspective and context in which they are being used.

However, it is important to note that these analogies are not perfect representations of the universe and should be taken with a grain of salt. The universe is a unique and complex entity that cannot be fully understood through any one analogy or metaphor. It seems like you're looking for an analysis of different analogies for the universe.

Here's an assessment of the statements you provided:

a. The universe is like a giant clock: This analogy could be considered correct in the sense that the universe operates in a precise, orderly manner with the laws of physics governing its behavior. This is similar to the way a clock keeps accurate time through its mechanical components.

b. The universe is like a vast, complex machine: This statement is also correct. The universe can be thought of as a complex system made up of various interacting parts, such as galaxies, stars, and planets. These parts follow specific laws and principles, much like the components of a machine.

c. The universe is like a living organism: This analogy might not be entirely correct. While the universe does have elements of growth and evolution, it does not exhibit characteristics typically associated with living organisms, such as metabolism or the ability to reproduce.

d. The universe is like a giant, cosmic computer: This statement can be considered correct from a certain perspective. The universe can be viewed as a vast, information-processing system, where the laws of physics dictate how information is transformed and transmitted. This is similar to the way a computer processes and manages data.

In summary, statements a, b, and d can be considered correct, while statement c is less applicable as an analogy for the universe.

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A body at rest will remain at rest unless acted on by a(an) _____.

Question 1 options:

A. external, unbalanced force.


B. external, balanced force.

Answers

the answer is A. external, unbalanced force.

what’s the net force on the box?

whats the net force on the box?

Answers

Answer:

131.2440 N

Explanation:

The net force is calculated by finding the resultant between Fb and Fa. This is done by taking the square root of Fb squared plus Fa squared.

\(Fnet=\sqrt{Fb^{2} +Fa^{2} } =\sqrt{85N^{2} +100N^{2} } =\sqrt{7225+10000}=\sqrt{ 17225}\)

\(Fnet=131.2440 N\)

Calculate the total work done (J) by a force given by: F = ( 3i


-6j) N to move an object a displacement given by: R = ( 8i +


6k) m


O a


- 12


Rb


18 i-48)


C C


C


24i - 36j


O d.


d


+ 24

Answers

Work done (J) by the force is 60i - 78j + 18k.

Given,

F = (3i - 6j) NR

= (8i + 6k) m – 12i – 18j + 24J

= F * dJ = (3i - 6j) * (8i + 6k – 12i – 18j + 24)J

= (3i - 6j) * (-4i - 18j + 6k + 24)J

= (-12i - 54j + 18k + 72i - 24j)J

= (60i - 78j + 18k)J

Work done (J) by the force is 60i - 78j + 18k.

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how do you think the angle of the plate will affect how much sunlight hits the plate?

Answers

The angle of the plate will affect how much sunlight hits the plate. The amount of sunlight that hits a surface depends on the angle of incidence, which is the angle at which the sunlight hits the surface. When the angle of incidence is perpendicular to the surface (i.e., the sun is directly overhead), the maximum amount of sunlight is received by the surface.

However, as the angle of incidence increases, the amount of sunlight that hits the surface decreases because the same amount of sunlight is spread over a larger area. Therefore, if the plate is not angled properly to face the sun, it will receive less sunlight, which will affect its efficiency in converting sunlight into electricity.

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Astronomers have concluded that the Sun's activity varies in an 11-year cycle. Which of the following statements about this cycle is TRUE?
a. The Sun's activity cycle shows absolutely no connection to its magnetic field.
b. When sunspots are at a minimum we get the largest number of flares and prominences.
c. The number of sunspots gets larger and smaller over the course of 11 years.
d. Every 11 years sunspots completely cover the Sun making its surface much darker.

Answers

Since astronomers have concluded that the Sun's activity varies in an 11-year cycle, the statement about this cycle which is true is that: C. The number of sunspots gets larger and smaller over the course of 11 years.

What is the Sun?

In Science, the Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.

Based on astronomical records and information, we can reasonably infer and logically deduce that all of the activities which are associated with the Sun generally varies in an 11-year cycle, and this makes the number of sunspots to both get smaller and larger within a period of eleven (11) years.

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why do massive stars collapse after they have fused silicon to make nickel, which then decays to make iron in their cores?

Answers

The sudden cessation of energy generation causes the core to collapse and the star's outer layers to collapse onto the core.

What is core collapse?

Core-collapse supernovae are spectacular explosions that occur at the end of a big star's thermonuclear evolution, giving rise to neutron stars and black holes. They are among the most intense occurrences in the universe, play an important role in the synthesis and distribution of chemical elements, drive the development of new stars, and are closely tied to an enigmatic subclass of gamma-ray bursts. As a result, astro-physicists are keen to learn which stars burst as supernovae, what physical mechanisms produce the explosion, and what observable effects result from these cataclysmic events.

When the explosion wave generated in the optically obscured stellar centre eventually reaches the surface layers of the star, the visual supernova outburst begins.

The fire ceases because iron does not work as a fuel. The sudden cessation of energy output leads the core to collapse and the star's outer layers to collapse onto the core. The infalling layers compress so quickly that they 'bounce' off the iron core at near-lightspeed.

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Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear them?

Answers

Answer:6.5 m/s

Explanation:Look at the image I believe that's the answer

Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for

The horizontal velocity of the diver would be 6.522 meters / seconds.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, then we have to find out  the minimum horizontal velocity a diver must have to clear them,

By using the second equation of motion in the vertical direction,

s = ut + 0.5at²

61 = 0+ 0.5×(-9.81) ×t²

t² = 61/(0.5×9.81)

   = 12.43

t = 3.526 seconds

The horizontal velocity of the diver = 23 meters / 3.526 seconds

                                                            =6.522 meters / seconds

Thus, the horizontal velocity of the diver would be 6.522 meters/second.

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A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)

Answers

Answer:A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)

Explanation:

The heat produced by friction between a skate and the ice during movement over the surface melts the topmost layer of ice. However, even when you are still, ice is still slick. When you remain still on ice, there is no friction to produce heat, but the ice is still slippery.

What ice melted as a result of the work done by friction?

Although friction does generate heat, the amount of heat it produces is insufficient to melt ice that is at a very low temperature. But even at low temperatures, ice still creates a slick liquid layer. The formation of a slippery coating even when the item is totally still cannot be explained by frictional heating.

Therefore, A rough floor is traversed by a 2.2 kg lump of ice. It moves at a final speed of 0.50 m/s after starting out at 2.5 m/s. What portion of the ice block melted as a result of the friction's work? (Water has a latent heat of 3.3×105 J/kg.)

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In the English system of units, power is expressed as horsepower (hp) instead of watts, where 1 hp = 746 W. What would be the power rating of a 100 W light bulb in horsepower?

Answers

Answer

as it is given that 1hp=746W

100W=?hp

746hp=100W   (to find the value of hp we divide 100 on both sides)

746/100=hp

hp=7.46

if you changed the source wavelength to a longer wavelength, e.g. 600nm, how would the distance between the zero order maximum and the third order maximum change?

Answers

If you change the source of wavelength to a longer wavelength (e.g. 600 nm), the distance between the zero order maximum and the third order maximum will decrease, since the numerator (λ) has increased.

The distance between the zero order maximum and the third order maximum in a diffraction pattern depends on the wavelength of the light and the size of the diffraction grating.

If you change the source wavelength from a shorter wavelength to a longer wavelength, the distance between the zero order maximum and the third order maximum will decrease. This is because the distance between the maxima in a diffraction pattern is inversely proportional to the wavelength of the light.

In mathematical terms, if 'd' is the distance between the maxima, 'λ' is the wavelength, and 'n' is the order of the maximum, then the relationship between these quantities is given by:

d = λ / (n × sinθ)

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a 45-cm-diameter potter's horizontal wheel spins at 90 rpm. what are the magnitude and direction of the net force on a 5.0

Answers

The magnitude and direction of the net force on a 5.0kg object is 99.8 N inward.

What is the centripetal acceleration of the wheel?

The centripetal acceleration of the potter's wheel is calculated using the following formula as shown below;

a = ω²r

where;

ω is angular speed (rad/s)r is the radius of the circle (m)

ω = 90 rpm = 90 rev/min x 2π rad/rev x 1 min / 60 s = 9.42 rad/s

r = 45 cm / 2 = 22.5 cm = 0.225 m

a = (9.42)² x (0.225 m)

a = 19.97 m/s²

The magnitude of the net force on a 5 kg object is calculated as follows;

F = ma

where;

m is mass = 5 kga is centripetal acceleration = 19.97 m/s²

F = (5) x (19.97)

F = 99.8 N

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The complete question is below:

a 45-cm-diameter potter's horizontal wheel spins at 90 rpm. what are the magnitude and direction of the net force on a 5.0 kg object.

Why are understandings of patterns so important to human development?

Answers

Patterns provide a sense of order in what might otherwise appear chaotic. Researchers have found that understanding and being able to identify recurring patterns allow us to make educated guesses, assumptions, and hypothesis; it helps us develop important skills of critical thinking and logic

Answer:

Understanding patterns is important for human development because it allows us humans to make more Educated guesses in life. It allows the human brain to strengthen its logical thinking.

Explanation:

For example: A baby will occasionally learn to roll over or crawl through time. The pattern of doing such things allows the baby to learn more from its actions to make new ones.

I hope this helped im new but want to help :)  

the force of attraction between two objects is called gravity why do you think that an object like your note book pulls twords you​

Answers

gravitaional pull

not sure

Part B Object A has a mass m and a speed v, object B has a mass m/2 and a speed 4u, and object C has mass 3m and a speed v/3. Rank the objects according to the magnitude of their momentum Rank from smallest to largest. To rank items as equivalent, overlap them. Reset Help Smallest momentum Largest momentunm Object A Object C Object B The correct ranking cannot be determined. Submit My Answers Give Up

Answers

Smallest momentum: Object B, Object A, Object C.

Largest momentum: Object C, Object A, Object B.

Momentum is defined as the product of mass and velocity, p = mv. Comparing the three objects, we can calculate their momentum as follows,

Object A: p = mv

Object B: p = (m/2) x (4u) = 2mu

Object C: p = (3m) x (v/3) = mv

From these equations, we can see that Object B has the smallest momentum since it has the lowest mass and speed. Object A has a larger momentum than Object B but smaller than Object C, which has the largest momentum due to its large mass. Therefore, the correct ranking from smallest to largest momentum is Object B, Object A, Object C.

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I have always wondered if the saying it was hot enough to fry an egg on the sidewalk could 20 points be true. Please describe how you would determine if this could really happen. State any assumptions you would make. State any additional information that you would need and what you would do with the additional information

Answers

Answer:

This is one of the hottest summers America has ever seen and Jeremiah Warren is taking advantage of the heat wave and doing a little cooking…in his car!

It was about 98 or 99 degrees in Texas, so Jeremiah thought he’d head outside to see if it was hot enough to actually cook food.  He buttered up a frying pan on his dashboard and filled it with an egg, cookie dough, a hot dog and bacon (mmm…bacon!).  He set up another frying pan on the sidewalk and a few hours later he came back for a mid-day snack.

Explanation:

The function f(x)=−0.0025x2+0.243x+3 models the path of a rocket in feet. Explain how you would use the function to determine the height the rocket was launched from, how far it traveled, and the greatest height it reached. Answer in complete sentences.

Answers

Answer:

The quadratic function models the path of the rocket. When we substitute an x value, we can determine the height in feet of the rocket.

To determine the height it was launched from, we would look at the y-intercept. This represents the starting value, as time = 0 in this point (cannot have negative time).

To determine how far the rocket traveled, we would look at the positive x-intercept of the expression. At this point, height = 0, so we can see the distance from start to finish of the rocket.

To determine the greatest height achieve, we would look at the vertex of the parabola generated from the given function. Using (-b/a, f(-b/a)), we can determine the greatest height achieved.

Question 8 of 20
You heat a pot of water on a gas stove. Not all the energy from the
combustion of the gas is transformed into thermal energy. What happens to
the rest of the energy released when the gas burns?
OA. It is transformed into light energy.
OB. It is transformed into chemical energy.
C. It is transformed into electrical energy.
OD. It is transformed into nuclear energy.
SUBMIT

Answers

Answer:

None of the choices you provided are correct. When a gas burns, it releases energy in the form of heat and light. Some of this energy is transferred to the pot of water, increasing its temperature, but some of the energy is also released as light. However, the rest of the energy is not transformed into chemical, electrical, or nuclear energy. Instead, it is lost to the environment in the form of waste heat. This is why gas stoves can become hot to the touch - they are releasing excess energy in the form of heat that is not being used to heat the pot of water.

Explanation:

what type of interference is happening when light waves subtract from each other to create dark spots

Answers

Answer: destructive interference

Explanation: maximum points of a wave and minimum points of

Another wave overlap and sum is zero

x Methane, has a molar mass of 16.03 grams per mole. How many particles o of methane are present in 120 grams?

Answers

In order to determine the number of particles of methane, use the following expression:

number of particles = (mass /molar mass ) x Avogadro's number

in this case, you have:

molar mass = 16.03 grams/mole

mass = 120 grams

Avogadro's number = 6.02*10²³ particles/mol

replace the previos values of the parameters into the formula for the number of particles:

number of particles=(120 grams/ 16.03 grams/ mol)x(6.02*10²³particles/mol)

= (7.46 mol) x (6.02*10²³ particles/mol)

= 4.50*10²⁴ particles

Hence, the number of particles of methane, in 120 grams, is 4.50*10²⁴

which of the following reflects the most light a. a clear window b. a green plastic bottle c. aluminum foil d. a red lunch box

Answers

Answer:

c. aluminum foil

Explanation:

Reflection is defined as the returning of light or sound wave from a surface at certain angles. For example: our image in the mirror.

To reflect light, we required a surface with one side completely polished, smooth and pure form so that it reflects maximum light rather than absorbing the light. Aluminum foil will reflect the most light from the given options. Aluminum foil has the purity and surface smoothness that makes it able to reflect maximum light. Any change in the smoothness of the aluminum foil, the reflectivity of light will decrease.

Other option a clear window, a green plastic bottle and a red lunch box will absorb more light rather than refect it.

Hence, the correct option is "c. aluminum foil ".

The diagrams show the four primary steps in the production of work in a four-stroke heat engine.

An illustration of a internal combustion engine cylinder at four different stages. The first illustration is labeled W with red ejected out of the left valve, the second is labeled X with purple in the cylinder trapped by the piston and valves, the third is labeled Y with the piston going down and the fluid red, the last is labeled Z with purple coming into the cylinder from the right valve.

What is the correct order in which these steps occur?

Answers

Answer:

D) Z,X,Y,W

Explanation:

TOOK THE QUIZ MATE, TOOK THE MF QUIZ

Answer:

D

Explanation:

edge 21

Why are car radiators painted black?

Answers

Answer:

To absorb heat

Explanation:

A black color is said to absorb much heat . This helps in cooling the engine as the radiator has absorbed the heat efficiently .

Additional Information:

A black object absorbs all wavelengths of light and reflects non , that is why it appears black .The more light an object absorbs , the more heat it absorbs .

Question 10 of 10
Magnetic striping is evidence of
A. pole reversals
B. Earth's rotation
C. Jupiter's magnetosphere
D. the Van Allen belts
SUBMIT

Answers

Answer:

A. pole reversals

Explanation:

It's an evidence of magnetic pole reversal of Earth & sea-floor spreading.

Hope this helps!

Magnetic striping is evidence of seafloor spreading and pole reversals. Hence, option A is correct.

What is sea floor spreading?

The notion that oceanic crust develops along submarine mountain zones, commonly known as the mid-ocean relevant standard, and expands out laterally away from them. This concept was crucial in the creation of the doctrine of plate tectonics, which transformed geologic thought in the last quarter of the twentieth century.

Shortly after World War II, sonar-equipped warships crisscrossed the oceans, gathering ocean-depth profiles of the seafloor underneath them. The survey data was used to create bas-relief maps of the ocean floor, and by 1953, American oceanic mapmaker Marie Tharp had created the first of many maps that revealed the presence of an underground mountain range of more than 16,000 km (10,000 miles) long in the Coast  Mid-Atlantic Ridge.

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Other Questions
Dan receives a proportionate current (nonliquidating) distribution when the basis of his partnership interest is $30,000. The distribution consists of $10,000 in cash and property with an adjusted basis to the partnership of $24,000 and a fair market value of $26,500. Dan's basis in the noncash property is: Question 22 options: $26,500. $24,000. $20,000. $10,000. $0. 12y+15=24-6y ?????????????????? 1. Briefly explain the scenario that could cause per capita GDP to increase at the same time that real GDP is decreasing. 2. Country A has export sales of $51 billion, government purchases of $780 billion, business investment of $200 billion, imports of $83 billion, and consumption spending of $1,912 billion. What is the dollar value of GDP in Country A Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed. sometimes policies not demanded by the public nevertheless become items on the political agenda. what explains this? Bella bought gardening materials from different stores. At Garden Mart, Bella bought g packets of geranium seeds, m packets of marigold seeds, and z packets of zinnia seeds. All of the plant seeds were on sale for half price. The expression shown below represents the total cost of the plant seeds Bella bought. 1 2 (2. 48g +1. 74m+1. 96z) Write an expression without parentheses that also represents Bella's total cost at the one of us is lying why did Bronwyn feel the need to hide her secret Which table shows a NON-PROPORTIONAL relationship? $1,000 of supplies were purchased at the beginning of the month. $300 were used during the month. (The Supplies account was increased at the time of the initial purchase.) Demonstrate the required adjusting journal entry by selecting from the choices below. (Check all that apply.) Multiple select question. Supplies would be credited for $300. Supplies would be debited for $300. Supplies expense would be debited for $300. Supplies expense would be debited for $700. Supplies expense would be credited for $300. For the FCF (Feature Control Frame) in Bubble 23 of the SteppedPin Demo drawing,a. What is Material Boundary condition for datum feature A?______________________________________________b. What typ Inputs and outputs Jacques's Performance Pizza is a small restaurant in Chicago that sells gluten-free pizzas. Jacques's very tiny kitchen has barely enough room for the three ovens in which his workers bake the pizzas. Jacques signed a base obligating him to pay the rent for the three events for the next year. Because of this, and because Jacques's kitchen cannot fit more than three ovens. Jacques cannot change the number of ovens he uses in his production of pizzas in the short run. However, Jacques's decision regarding how many workers to use can vary from week to week because his workers tend to be students. Each Monday, Jacques lets them knew how many workers he needs for each day of the week. In the short run, these workers are _____ inputs, and the oriens are _____ inputs. Jacques's ability production schedule is presented in the following table. Fill in the blanks to complete the Marginal Product of Labor column for each worker. On the following graph, plot Jacques's (triangle symbol). Suppose that labor is Jacques's only variable cost and that he has a fixed cost of $10 per arial pays each of his workers $50 per day. Use the orange points (square symbol) to plot Jacques's total cost curve on the following graph using the quantities from the preceding table. True or False: The shape of the production function reflects the law of diminishing marginal returns. True False Plz help guys help me Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (3x1 5x2, 6x1 + 10x2), K(x1, x2) = (-V3x2, V3x1), L(x1, x2) = (x2, x1), M(x1, x2) = (3x1+ 5x2, 6x1 6x2), N(x1, x2) = (-V5x1, /5x2).(a) In each case, compute the determinant of the transformation. [5 marks- 1 per part] det J- det K- det L det M- det N- (b) One of these transformations involves a reflection in the vertical axis and a rescaling. Which is it? [3 marks] (No answer given) (c) Two of these functions preserve orientation. Which are they? [4 marks-2 per part] Select exactly two options. If you select any more than two options, you will score zero for this part. a.J b.K c.L d.M e.N (d) One of these transformations is a clockwise rotation of the plane. Which is it? [3 marks] (No answer given) (e) Two of these functions reverse orientation. Which are they? [4 marks-2 each] Select exactly two options. If you select any more than two options, you will score zero for this part. a.J b.K c.L d.M e.N (f) Three of these transformations are shape-preserving. Which are they? [3 marks-1 each] Select exactly three options. If you select any more than three options, you will score zero for this part. a.Jb.K c.L d.M e.N A little known fact is that both Robinson Crusoe and Friday wore eyeglasses. As it so happens, Robinson Crusoe was farsighted while Friday was nearsighted. Whose eyeglasses did they use whenever they wanted to start a fire by focusing the sun's rays Religion: A belief system that influences the development of a civilization. 2 points(Some examples may include: Islam, Buddhism, Christianity and Judasm.)A. Christians made pilgrimages to important religious sites like Jerusalem,B. At the end of the medieval era, the English write the Magna Carta, a document thathas influenced the development of many governments,C. Feudalism was a system of protection between the hierarchy of nobles, knights andpeasants.D. The Holy Land, located in modern Israel is the where the Crusades were fought.E. Charlemagne was crowned king of the Franks and he reunited much of WesternEurope.F. While they did not earn money, serfs farmed the land on fiefs as system of trade forprotection of the following, which is considered in the net present value method? select answer from the options below present value of unequal amounts of annual net income generated by the project. present value of liquidation proceeds. present value of depreciation expense. present value of equal amounts of annual net income generated by the project. Businesses have most of the same rights as Pour some bran flakes or oatmeal into the jar. (Less than half a jar of flakes is enough.) Cut a small piece off the potato. Place it in the jar for dampness. You will need to replace the potato with a fresh piece every week. Place the mealworm inside the jar. It will be the mealworm's home for several weeks. Have an adult help you make a small hole in the lid before you put it on the jar. Write your name on the jar. Put the mealworm jar in a warm, dark, and safe place. Bring it out only when you are observing the mealworm. Draw pictures of the mealworm as you observe changes. Keep a diary of your observations. Answer the following questions: What stages did you observe? What do you expect to happen next? In __________ _________ the lining of the peritoneal cavity acts as a filter to remove waste from the blood. I have 11 hundreds, 4 tens and 9 ones. What number am I?