You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 2.10 m/s2 or travel faster than 10.3 m/s , what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor

Answers

Answer 1

Answer:

The value is [tex]t_t =41.12 \ s [/tex]

Explanation:

From the question we are told that

The maximum acceleration is [tex]a_m = 2.10 \ m/s^2[/tex]

The maximum velocity is [tex]v_m = 10.3 \ m/s[/tex]

The height of the observatory floor is [tex]H = 373 \ m[/tex]

Generally at the initial state of the motion the elevator accelerates from rest with a maximum acceleration [tex]a_m = 2.10 \ m/s^2[/tex] to attain a maximum velocity [tex]a_m = 2.10 \ m/s^2[/tex] at a time period of [tex]t_a[/tex]

Then it continues with the maximum velocity for a time period of [tex]t_b[/tex]

and finally decelerates with a maximum deceleration [tex] a_m = -2.10 \ m/s^2[/tex] to come to rest at a time period of [tex]t_c[/tex]

Generally the velocity of the elevator for the first part of the motion is

[tex]v = u + at_a[/tex]

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

=> [tex]10.3 = 2.10t_a[/tex]

=> [tex]t_a = 4.90 \ s [/tex]

Generally from kinematic equations the distance covered during the first part of the motion is

[tex]S_1 = ut_a + \frac{1}{2} at_a^2[/tex]

=> [tex]S_1 = 0 + \frac{1}{2} (2.10 ) (4.90)^2[/tex]

=> [tex]S_1 = 25.21 \ m [/tex]

Generally the distance covered during the second part of the elevators motion is mathematically represented as

[tex]S_2 = v_m * t_2[/tex]

[tex]S_2 = 10.3 t_b[/tex]

Generally given that the first part of the elevator motion is similar to the third part of the elevator motion it implies that the distance covered is similar

i.e [tex]S_1 = S_3 = 25.21 \ m[/tex]

The total distance covered is mathematically repented as

[tex]H = S_1 + S_2 + S_3[/tex]

=> [tex]373 = 25.21 + 10.3 t_b + 25.21 [/tex]

=> [tex]t_2 = 31.32 \ s [/tex]

Generally the minimum total time taken is

[tex]t_t = t_a + t_b + t_c[/tex]

Generally [tex]t_a = t_c = 4.90 \ s[/tex]

So

     [tex]t_t  =4.90+ 31.32 +4.90[/tex]

=> [tex]t_t =41.12 \ s [/tex]


Related Questions

what does a magnetic field look like

Answers

Answer:Magnetic fields are invisible, at least usually. But scientists from NASA's Space Sciences Laboratory have made them visible as "animated photographs," using sound-controlled CGI and 3D compositing.

Explanation:

104 kg and a volume of 1,278 m3 what is the density

Answers

Answer: 0.081  kilogram/cubic meter

Explanation: p=m/v so 104/1278 is 0.081377151799687 or 0.081.


A 7.00-kg block is stacked on top of the 2.90-kg block. What is the magnitude Fof the force, acting horizontally on the 2.90-kg block
as before, that is required to make the two blocks start to move together?

Answers

Answer:

F = 19.42 [N]

Explanation:

In order to solve this problem, we must first make a free body diagram and determine the forces acting on each body. In the attached image we can see the respective free body diagrams with the respective equilibrium equations.

In order to determine the value of the force, a static analysis must be performed on the block of 2.9 [kg] so that the value of the Force F can be determined.

A coefficient of friction value between the block of 2.9 [kg] and the ground must be taken into account in order to find the force F. a coefficient of friction value of 0.2 shall be taken

By the sum of forces on the Y-axis equal to zero, the value of the normal force N can be determined on the block of 2.9 [kg].

Then knowing that the frictional force is equal to the product of the normal force by the coefficient of friction, we can determine the frictional force.

By the sum of forces on the X-axis equal to zero, we can determine the value of the Force F, as seen in the equations posed in the attached image.

Note: the value of the Force F depends on the value of the coefficient of friction between surfaces.

A wildebeest runs with an average speed of
4.0

m
s
4.0
s
m

What was its distance travelled in meters?

Answers

How many seconds did the wildebeest run??

APEX: the use of seatbelts in a car has significantly reduced to the number of crash fatalities. which statement best explains how government regulations guided the development of seat-belt technology

Answers

Answer:

As the public need for preventing injuries and deaths from car crashes became known, laws were enacted to mandate the inclusion of seat belts in almost all passenger vehicles

Explanation:

Correct on Ap3x

Answer:

D

Explanation:

(a) Is the velocity of car A greater than, less than, or the same as the
velocity of car B?
(b) Is the initial position of car A greater than, less than, or equal to the
initial position of car B?
(c) In the time period from t = 0 tot = 1 s, is car A ahead of car B,
behind car B, or at the same position as car B?

Answers

Answer:

a. less than, b. greater than, c. ahead

Explanation:

a. ) Is the velocity of car A  less than the velocity of car B b. the initial position of car A greater than the initial position of car B  c. ahead In the time period from t = 0 tot = 1 s, is car A ahead of car B?.

what is velocity ?

Velocity is the parameter which is different from speed,  can be defined as the rate at which the position of the object is changed with respect to time, it is basically speeding the object in a specific direction in a specific rate.

Velocity is a  vector quantity which shows both magnitude  and direction  and The SI unit of velocity is meter per second (ms-1). If there is a change in magnitude or the direction of velocity of a body, then it is said to be accelerating.

Finding the final velocity is simple but few calculations and basic conceptual knowledge are needed.

For more details regarding velocity, visit

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#SPJ2

A house is maintained at a comfortable temperature by means of an electrical resistor heater during winter. The heater is operated at a constant current (I) under an applied voltage of 110 V. For simplicity, let us assume that the heater operates at a steady state, with 100% of conversion efficiency from the electrical energy to the internal energy of air in the house. (a) (5p) Find I if the homeowner pays $8.80/day for heating, with electricity cost $0.09/kWh. (b) (5p) Calculate the heat produced by the heater in an hour.

Answers

Answer:

a)   I = 0.01029 A , b)   Q = 4074.05 J

Explanation:

a) Let's work in parts, let's start by looking for the energy consumed.

For this we use a rule of three or direct proportions if 1 kWh costs $ 0.09, how much kWh is $ 8.80

           Energy = 8.80 / 0.09

           Energy = 97,778 kWh

to calculate the current, we must have the energy consumed per second

           

Let's use a rule of three if 97,778 kWh were consumed in 24 h = 86,400 s how much was consumed in 1 s

            E₀ = 97.778 1/86400

            E₀ = 1.13168 Ws

           

the power consumed is

           P = E₀ / t

           P = 1.13168 / 1

           P = 1.13168 W

power is

           P = I V

           I = P / V

           I = 1.13168 / 110

           I = 0.01029 A

b) the heat is given by

     

           

as the efficiency is 100%

          E = P t = Q

          Q = 1.131368 3600

          Q = 4074.05 J

In the photoelectric effect, light striking the surface of a conductor ejects electrons from the conductor. If we shine light on the anode of a capacitor which has some voltage applied across it, the ejected electrons will be accelerated towards the cathode, and we establish a photocurrent. Using this principle, you would like to build a laser tripwire.
You put a lightbulb (with resistance 10 ), capacitor, and DC voltage source E = 9 V in series, and point a ruby laser of wavelength 694 nm (red light) and intensity I = 1 W/m² at the anode of the capacitor. The anode has workfunction =1.3 eV. Your idea is that as long as the laser is actively shining on the anode, the light bulb will light; if an object obstructs the laser, the light bulb will turn off, and you will notice the light flicker.
A. With the given parameters, with the laser shining on the anode, will current flow in your circuit?
B. One potential problem with your tripwire is that the laser is in the visible spectrum, and a potential burgler might see and avoid it. Will current still flow if you replace the ruby laser with an argon laser, with wavelength 1090 nm (infrared), and double the intensity to 2 W/m? Why or why not?

Answers

Answer:

a) Ф = 1.79 eV  here are a number of electrons expelled from the metal and these electrons are accelerated by the difference in potential and you can establish a curren

b)  E = 1.14 eV     the energy of the photons is less than the work function of the metal, so there are no ejected electrons and there can be no current

Explanation:

a) This is a problem about the photoelectric effect, for the current to flow there must be ejected electrons so that they can be accelerated, this effect was explained by Insistent using

            h f = K - Ф

where hf is the energy of the incident photons, Ф the metal work function and K the kinetic energy of the ejected electrons, the minimum value that it can have is zero

           Ф = h f

let's use the relationship

           c = λ f

           f = c / λ

we substitute

          Ф = h c / λ

let's calculate

          Ф = 6.63 10⁻³⁴ 3 10⁸/694 10⁻⁹

          Ф = 2.87 10⁻¹⁹ J

let's reduce this value to units of eV

         Ф = 2.87 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹ J)

         Ф = 1.79 eV

This is the maximum value that the work function can have for the electrons to be expelled, as they indicate that the work function of the anode is 1.3 eV there are a number of electrons expelled from the metal and these electrons are accelerated by the difference in potential and you can establish a current

B) The laser is changed for another λ = 1090 nm = 1090 10⁻⁹ m

Let's find the energy of the laser photons

         E = h c /λ

         E = 6.63 10⁻³⁴ 3 10⁸/1090 10⁻⁹

         E = 1.82 10⁻¹⁹ J

we reduce to eV

         E = 1.82 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹ J)

         E = 1.14 eV

In this case, the energy of the photons is less than the work function of the metal, so there are no ejected electrons and there can be no current

It’s important to measure exercise shoes with the type of exercise in which you will be participating.

Answers

Answer:

True

Explanation

the right shoes will help with the comfort & it will help with limits you have on your legs.. Weights, posture,& will help with injury...

A fly flaps its wings back and forth 25 times in one second. The period of wing flapping is _____.

Answers

Answer:

The period is 0.04 sec

Explanation:

This problem is based on oscillatory motion.

What is the period of oscillation?

This can be defined as the time taken to complete one full revolution or oscillation.

given that the  fly flaps its wings back and forth 25 times in one second. then the frequency is 25 Hz

we know that period T= 1/F

T= 1/25

T=0.04 sec

explain what nuclear fusion is in the role it plays in Stars. DO NOT LOOK UP ANSWERS​

Answers

Answer:

Stars are powered by nuclear fusion in their cores, mostly converting hydrogen into helium. The production of new elements via nuclear reactions is called nucleosynthesis. A star's mass determines what other type of nucleosynthesis occurs in its core (or during explosive changes in its life cycle).

The gravitational acceleration on earth is 9.8m/s. What is the weight of a car on earth (to the nearest whole number) if it has a mass of 1360kg

Answers

Answer:

1360*9.8

=13328 joules

Question 4 (1 point)
Having the ability to play or stay active longer without getting tired explains which
Health-Related Fitness Component?

Answers

cardiovascular endurance :))

An automobile is traveling at a constant 15 m/s, then it undergoes acceleration from that moment forward. Which statement best describes the automobile's new motion?​

Answers

Answer:

d

Explanation:

We are required to write a statement that best describes the automobile's new motion.

The statement that best describes the automobile's new motion is uniform acceleration.

Motion is the change of position of a body or object with time.

Uniform Acceleration is defined as the motion of an object whose velocity increases by equal amounts in equal intervals of time, however small the time intervals may be.

The best statement to describe the automobile's new motion is called Uniform Acceleration

Read more:

https://brainly.com/question/20337199

The atomic number of beryllium (Be) is 4, and the atomic number of barium (Ba) is 56. Which comparison is best supported by this information? They are in the same group because they have similar atomic masses, but they are in different periods because they have different chemical properties. They are in the same group because they have similar chemical properties, but they are in different periods because they have very different atomic numbers. They are in the same group because their atomic numbers are each multiples of four, but they are in different periods because they have different chemical properties. They are in the same group because they have similar atomic masses, but they are in different periods because they have very different atomic numbers.

Answers

Answer: They are in the same group because they have similar chemical properties, but they are in different periods because they have very different atomic numbers.

Explanation: On Edgenuity!!

The comparison is best supported by the information given in option 4. They differ due to their atomic number.

Write about beryllium?

A star is a bright spheroid of plasma held together by gravity. The Sun is the most distant star from Earth.

Many additional stars may be seen with the normal eye at night, but their enormous distance from Earth causes them to appear as stationary points of light in the sky.

We are discussing the two-element beryllium (Be) and barium (Ba). The comparison is best supported by this information will be;

They are in the same group because they have similar chemical properties, but they are in different periods because they have very different atomic numbers.

Hence option 4 is correct.

To learn more about the beryllium refer to the link;

https://brainly.com/question/20669804

I need help with this physics question, "A skateboarder rolled down the sidewalk with an initial velocity of 2.5m/s. If her acceleration was 1.7 m/s^2, what was her velocity after she had skated 130m?"

Answers

Recall that

[tex]{v_f}^2={v_i}^2+2a\Delta x[/tex]

where [tex]v_i[/tex] and [tex]v_f[/tex] are the skateboarder's velocity, respectively; [tex]a[/tex] is her acceleration; and [tex]\Delta x[/tex] is the change in her position.

Substitute everything you know and solve for [tex]v_f[/tex]:

[tex]{v_f}^2=\left(2.5\dfrac{\rm m}{\rm s}\right)^2+2\left(1.7\dfrac{\rm m}{\mathrm s^2}\right)(130\,\mathrm m)\implies v_f=448.25\dfrac{\mathrm m^2}{\mathrm s^2}\implies\boxed{v_f\approx21\dfrac{\rm m}{\rm s}}[/tex]

The animal that is hunted and consumed is considered the

Answers

Predator? like they hunt their prey

Answer:

prey

Explanation:

The train took 2 h 30 min to travel 3/5 of a journey at an
average speed of 96 km/h. If the train would complete the
journey in 4.1 h, what is the train's average speed for the
remaining journey?
km/h

Answers

Answer:

100km/h

Explanation:

96km•2.5=240km

240÷3/5=240•5/3=400km

400-240=160km

4.1-2.5=1.6h

160÷1.6=100km/h

where ν is the frequency of light shining on the metal; W is the energy needed to remove an electron from the metal; and me and u are the mass and speed of the ejected electron, respectively. In an experiment, a student found that a maximum wavelength of 371 nm is needed to just dislodge electrons from a metal surface. Calculate the velocity (in m/s) of an ejected electron when the student employed light with a wavelength of 283 nm.

Answers

Answer:

  v = 6.05 10⁵ m / s

Explanation:

This is an exercise of the photoelectric effect, which consists of the emission of electrons from a metal by the action of incident light, this phenomenon was explained by Einstein, assuming that the light rays are composed of particular called photons, for which the process is can explain by the collision of two particles,

         h f = K + Φ

where hv is the energy of the photons, K the kinetic energy of the electrons and fi the work function of the metal

speed, wavelength and frequency are related by

          c = λ f

we substitute

        h c /λ = K + Φ

let's apply this expression to our problem

λ = 371 nm = 371 10⁻⁹ m

the kinetic energy of zero electrons K = 0

          h  c /λ = Ф

         Ф = 6.63 10⁻³⁴  3 10⁸/371 10⁻⁹

         Ф = 5.36 10⁻¹⁹ J

this value is constant since the metal does not change

for λ = 283 nm = 283 10⁻⁹ m

          K = hc /λ - fi

          K = 6.63 10⁻³⁴  3 10⁸/283 10⁻⁹ - 5.36 10⁻¹⁹

          K = (7.028 - 5.36) 10⁻¹⁹

          K = 1,668 10⁻¹⁹ J

the expression of kinetic energy is

          K = ½ m v²

          v = √ (2K / m)

          v = √(2 1,668 10⁻¹⁹ / 9,1 10⁻³¹)

          v = RA (0.36659 10¹²)

          v = 0.605 10⁶ m / s

          v = 6.05 10⁵ m / s

How much force is needed to keep a 25 N rock moving with constant speed across the level, frictionless ice?

Answers

Answer:

Explanation:

Hello friend!!!!!

The answer is 0 Newton

hope this helps

plz mark as brainliest!!!!!!!!!!

A ball of mass 3 kg is released at the top of a track, as shown in the image below. The top of the ramp is 1 metre higher than
the lower, horizontal section of the track. This horizontal section is 5 metres long.
Assumptions:
• There is no loss of energy due to friction or air resistance.
• Gravitational acceleration is 9.8 m/s?
3 kg
1 m
5 m
(a) [1 MARK] What type of energy does the ball have when it is being held at the top of the track?
potential energy
(b) How much work must be done to hold the ball at the top of the track?
• [0.5 MARK] Write the amount of work done (number only) here: 0
[0.5 MARKI Write the unit for the work done here (symbol, not words):
.
(C) (1 MARK] What is the velocity (in m/s) of the ball when it is at the start of the horizontal section of the track? (Write the
number only to two decimal places. Do not include the unit.)
(d) [1 MARK] What is the velocity (in m/s) of the ball when it is at the end of the horizontal section of the track? (Write the
number only to two decimal places. Do not include the unit.)

Answers

Answer:

potential energy

Explanation:

4. A 49-N block is pulled by a horizontal force of 50.0 N along a rough horizontal
surface at a constant acceleration of 6 m/s2. What is the coefficient of friction?

Answers

Answer:
Coefficient of friction (mu) = .42

Explanation:
In the y-direction, the only forces are normal and gravitational force, and the vertical acceleration is 0, so normal force = mg= 49 N. In the x-direction there is a positive force of 49 N and an opposing friction force which equals the friction coefficient times the normal force. Thus, we can sum the x forces and set this net force equal to ma. 50 - 49(mu)= 4.9a= 4.9(6). So mu = (50-29.4)/49= .42.

An airport has a moving walkway in a long corridor (of lengthL) designed to savepassengers time. If Tom walks through the corridor (not on the moving walkway), it takes him150 s to reach the far end. If Tom stands on the moving walkway, it takes him 100 s to reach thefar end. How long would it take Tom to reach the far end if he got on the moving walkway andwalked at his normal speed relative to the walkway itself?

Answers

Answer: 60 seconds

Explanation:

The following information can be derived from the question:

rt=d,

150r = 100

Divide through by 150

r = 100/150

r = 0.67

r = 0.67 feet/second

Fir the second part of the question,

100r=100

r = 100/100

r = 1

r= 1 feet/second

combined rate will now be:

= 0.67+1

= 1.67 feet/second

We then slot it back into the formula

rt = d

1.67t = 100

t = 100/1.67

t= 59.88 seconds

t = 60 seconds approximately

can result.
When lost fluid is not replaced adequately,
A. heat stroke
B. hypothermia
C. dehydration
D. emphysema

Answers

Answer:

Dehydration could possibly take place if lost fluid is not replaced adequately. Hypothermia can not possibly take place due to loss of fluid. Nor can emphysema. So, dehydration looks to be the more suitable answer

Calculate What force is needed to accelerate an object 5m/s2 if the object has a mass of 10 kg?

Answers

Answer:

50N

Explanation:

F =ma

m=10kg and a=5m\s^2

f= (10)*5

f= 50 N

If you do this quick and and you get it right, I will give you branilest and 5 stars!

1) State Newton’s 3rd Law.



2) While driving down the road, a firefly strikes the windshield of a bus and makes a quite obvious mess in front of the face of the driver. This is a clear case of Newton's third law of motion. The firefly hit the bus and the bus hits the firefly. Which of the two forces is greater: the force on the firefly or the force on the bus?



3) By applying the third law of motion, which force is greater when you push on a wall? Your force, the wall’s force, your force and the wall’s force are equal or the force saved before pushing the wall.



4) If the forces on an object are balanced, the object will do what?

Answers

Answer:

1) If you put force on one side of an object, then there is an equal reaction.

2) Force on the firefly

3) Force saved

4) Will not move

As θ increases towards 90 what happens to the horizontal and vertical components of F?

Answers

Horizontal component , F cos θ.

Vertical component , F sin θ.

Now, as θ increases towards 90° cos θ decreases and

As θ increases towards 90° sin θ increases.

Therefore, horizontal component of F will decrease and vertical component will increase.

Hence, this is the required solution.

what is the difference between weak and strong forces I need help now I will give brainliest

Answers

Answer:

weak forces are more close to loosing and strong forces are more close to wining

Explanation:

a weak force probably has less staingh than the stronger force hats probably because they don't get enough people to fight, they don't have strong weapons, or they are not getting medical treatment that probably means they are sick some may have a disease and can spread they may not have food water or other supplies.

An object that has the ability to do work has __________ energy. (4 points)

a. magnetic
b. kinetic
c. potential
d. electrical

Answers

Answer:

c. potential

Explanation:

A car and a train move together along straight, parallel paths with the same constant cruising speed v0. At t=0 the car driver notices a red light ahead and slows down with constant acceleration −a0. Just as the car comes to a full stop, the light immediately turns green, and the car then accelerates back to its original speed v0 with constant acceleration a0. During the same time interval, the train continues to travel at the constant speed v0.Part A :- How much time does it take for the car to come to a full stop? Express your answer in terms of v0 and a0Part B:- How much time does it take for the car to accelerate from the full stop to its original cruising speed? Express your answer in terms of v0 and a0.Part C:- The train does not stop at the stoplight. How far behind the train is the car when the car reaches its original speed v0 again? Express the separation distance in terms of v0 and a0 . Your answer should be positive.

Answers

Answer:

a) t1 = v0/a0

b) t2 = v0/a0

c) v0^2/a0

Explanation:

A)

How much time does it take for the car to come to a full stop? Express your answer in terms of v0 and a0

Vf = 0

Vf = v0 - a0*t

0 = v0 - a0*t

a0*t = v0

t1 = v0/a0

B)

How much time does it take for the car to accelerate from the full stop to its original cruising speed? Express your answer in terms of v0 and a0.

at this point

U = 0

v0 = u + a0*t

v0 = 0 + a0*t

v0 = a0*t

t2 = v0/a0

C)

The train does not stop at the stoplight. How far behind the train is the car when the car reaches its original speed v0 again? Express the separation distance in terms of v0 and a0 . Your answer should be positive.

t1 = t2 = t

Distance covered by the train = v0 (2t) = 2v0t

and we know t = v0/a0

so distanced covered = 2v0 (v0/a0) = (2v0^2)/a0

now distance covered by car before coming to full stop

Vf2 = v0^2- 2a0s1

2a0s1 = v0^2

s1 = v0^2 / 2a0

After the full stop;

V0^2 = 2a0s2

s2 = v0^2/2a0

Snet = 2v0^2 /2a0 = v0^2/a0

Now the separation between train and car

= (2v0^2)/a0 - v0^2/a0

= v0^2/a0

Other Questions
3x[tex]3x^{2} =27[/tex] Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the total amount at the time of purchase? Help PLEASEand don't even think about deleting this questions you moderators this is a HOMEWOrK question that is being GRADED AS A TEST because of the difficulty and time consumption of it I've already had scuffles with 4 moderators now and would appreciate if I don't have another PLS HELP!!!!!! WILL GIVE BRAINILEST Now it is your turn to practice writing days and dates in Spanish. Choose your 5 favorite dates throughout the year (holidays, birthdays, first/last day of school, etc). Looking at this year or next year's calendar, write the 5 dates In Spanish and the day of the week on which each will occur. Use the tutorial and the example below to practice writing dates correctly in Spanish, Which is the best example of a political effect?A popular decision is made, which helps the school board president get reelected.OrA controversial tax decision was postponed until the end of the year, specifically to avoid mid-year taxes. Hurry please at a grand opening sale 20% of the first of 500 customers won a prize. How many of the first 500 did not win a prize? The period known as the Gilded Age was marked byeconomic growth and a lack of jobs.economic problems and a lack of jobs.economic growth and changing technology.economic problems and changing technology. Which sequence shows the numbers in order from least to greatest? 2 organelles that work together to maintain homeostasis International Gems sells fine jewelry and has implemented activity-based costing. Costs in the shipping department have been divided into three cost pools. The first cost pool contains costs that are related to packaging and shipping. International has determined that the number of boxes shipped is an appropriate cost driver for these costs. The second cost pool is made up of costs related to the final inspection of each item before it is shipped and the cost driver for this pool is the number of individual items that are inspected. The final cost pool is used for general operations of the department and the cost driver is the number of orders. Information about the activities is summarized below:Cost Pool Total Costs Cost Driver Annual ActivityPackaging and shipping $164,700 Number of boxes shipped 24,000 boxesFinal inspection $200,600 Number of individual items shipped 98,900 itemsGeneral operations and supervision $84,300 Number of orders 8,100 ordersDuring the period, the Far East sales office generated 684 orders for a total of 6,120 items. These orders were shipped in 1,474 boxes. What amount of shipping department costs should be allocated to these sales? A wooden block is pulled at a constant acceleration of 1.4 m/s2. Find the net applied force on the block if its mass is 0.6 kg. What number is positioned at point B? Round 6.3346 to the nearest thousandth What is the absolute value of -|-5| In the long run, once people have had time to adjust their long-term commitments, an increase insupply and a higher price level will no longer lead to expansion of quantity supplied . The forces that generate the increase in quantity supplied in the short run be present in the long run. Costs that are temporarily fixed as a result of contractual agreements will once long-term contracts expire and are renegotiated. When this happens, resource prices will product prices, which the incentive to produce.? why does alcohol cause a increase in the mood but it is a depressant which shows the correct symbol to compare the numbers 1/3 1/2 Using only numbers in the following list,29173871356324write downa)two numbers that add up to 100b)two numbers which differ by 46c)a multiple of 9 Which detail from "Max in the Year 2300 most clearly foreshadows what Max is? Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music. The songs he purchases cost $1.29. Part 1- write an algebraic expression to describe the amount of money in his checking account in relationship to the number of songs he purchased. Part 2- Describe what the variable represents in the situation