Based on the information given, it should be noted that the standard cost of a single backpack will be $32.00.
From the complete information, the standard cost for the backpack is calculated thus:
Materials = $9540
Direct labor = $5936
Variable manufacturing overhead= $1484
Total standard cost = $16960
Since the number of backpacks is 530, the standard cost for a single backpack will be:
= $16960 / 530
= $32.00
The actual cost per backpack will be:
= $32.00 - $0.20
= $31.80
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Choose the word that logically completes the second sentence.
very far from earth (at r=[infinity]), a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. the mass of the earth is me and its radius is re. neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space.
By considering the conservation of energy, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and 3294.6 m/s respectively.
Given that, r is at infinity when a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on the spacecraft would eventually crash into the earth.
Where
Mass of the earth [tex]m_{e}[/tex] = 5.97 × [tex]10^{24}[/tex] kg
Radius of the earth [tex]R_{e}[/tex] = 6.38 × [tex]10^{6}[/tex] m
G = 6.67 x [tex]10^{-11}[/tex]N[tex]m^{2}kg^{-2}[/tex]
a.) Since the spacecraft is primarily moving through the near vacuum of space, the speed V of the spacecraft when it eventually crash into the earth can be calculated by considering the conservation of energy.
The total initial energy = total final energy.
[tex]E_{i} = E_{f}[/tex]
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
where [tex]K.E_{i}[/tex] = 0
-G[tex]m_{e}[/tex]m/(r + [tex]R_{e}[/tex]) = 1/2m[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex]m)/[tex]R_{e}[/tex]
mass of the spacecraft will cancel out
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 0 since r is at infinity.
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
Substitute all the parameters into the equation above.
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/6.38 x [tex]10^{6}[/tex]
0.5[tex]V^{2}[/tex] = 62,413,636.36
[tex]V^{2}[/tex] = 62,413,636.36 / 0.5
[tex]V^{2}[/tex] = 124,827,272.7
V = [tex]\sqrt{124,827,272.7}[/tex]
V = 11172.6 m/s
b.) Given that the distance from the earth r = x([tex]R_{e}[/tex])
That is,
r = 11.5 x 6.38 x [tex]10^{6}[/tex]
r = 73,370,000 m
To find the spacecraft's speed when its distance from the center of the earth is r, we will use the same formula. That is,
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/r
Substitute all the parameters into the formula
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/ 73,370,000
0.5[tex]V^{2}[/tex] = 5427272.727
[tex]V^{2}[/tex] = 10854545.45
V = [tex]\sqrt{10854545.45}[/tex]
V = 3294.6 m/s
Therefore, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and
3294.6 m/s respectively.
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At what height would the gravitational potential energy have a value of 73. 7 joules for a 15 kilogram object? note that acceleration due to gravity is 9. 8 meters/second2.
a fire destroys all trees and plants in the forest. how might this affect the birds in the area?
Answer:
They could die or have to relocate to a place with trees.
Explanation:
When a fire destroys all trees and plants in the forest, the birds in this area would be forced to migrate to another location.
What is a habitat?A habitat can be defined as a combination of resources and geographical area that defines where the particular species of a living organism generally lives, reproduces and thrives.
In this scenario, the birds living in this area (forest) would be forced to migrate to another location due to the burning of all trees and plants in this forest.
In Biology, this situation is referred to as a catastrophic disturbance.
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Read the excerpt from "an address to the whites. " you here behold an indian, my kindred are indians, and my fathers sleeping in the wilderness grave—they too were indians. But i am not as my fathers were—broader means and nobler influences have fallen upon me. I have had greater advantages than most of my race; and i now stand before you delegated by my native country to seek her interest, to labor for her respectability, and by my public efforts to assist in raising her to an equal standing with other nations of the earth. What is most likely the meaning of kindred as it is used in the excerpt?.
In this excerpt from "An address to the whites", the word kindred means:
the people related to the person writing, other Indian people.The word kindred can mean other family members for the person who is speaking, however, in this case it talks about other people who share the same nationality and race, all the Indians.
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Which of the following best describes the maya civilization?.
Answer:
It is connected directly to the Mayan government.
Explanation:
The Mayan religion was a polytheistic religion. Religious leaders were at the top of their social hierarchy. They had many rituals to honor and worship their ancestors as they believed they were the ones who interceded for the living ones.
When using a spreadsheet to prepare the statement of cash flows, a decrease in accounts payable is entered in the analysis of changes columns with a debit in the statement of cash flows section and a credit in the balance sheet section.
Answer:
is this an answer itself or a question you need to have answered?
Explanation:
Using the periodic table of ions below to predict the charge of the following atoms.
The charge on GA, SR, As, Br, Se are 3+, 2+, 3+, -, 2- respectively.
Ga and Sr are metalsBr and Se are non metalsAs is an amphoteric elementSr has full electron shell and 2 electrons in the outermost shell making it
[tex] {sr}^{2 + } [/tex]
Ga has full electron shell and 3 electrons in the outermost shell making it[tex] {ga}^{3 + } [/tex]
Br has 7 electrons in the outermost shell, so it needs one more electron to complete it's orbit making it[tex] {br}^{ - } [/tex]
[tex] {br}^{ - } [/tex]Se has 6 electrons in the outermost shell, it needs two more electrons making it[tex] {se}^{2 - } [/tex]
As can give 3 out of its 5 electrons as metals forming[tex] {as}^{3 + } [/tex]
Therefore, the charge on GA, SR, As, Br, Se are 3+, 2+, 3+, -, 2- respectively.
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Which line from the passage is an allusion to how cupid bestows love upon people?.
An allusion is a statement that is meant at calling something to mind without mentioning it explicitly.
The passage that should be used to answer this question was not provided.
However, bearing in mind the above definition of the word, allusion, it is expected that you read through the passage and identify a statement that reminds you of Cupid's ability to make people love themselves.
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Brianne is watching a movie. Which part of her brain interprets the images she sees?.
Answer: occipital cortex
The “Vision Center,” is located in the back part of your brain (the occipital cortex or lobe). It is responsible for decoding the electrical information coming from the retina. The vision center interprets the electric form of the image, allowing you to form a visual map.
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When you are about to make a turn in direction of a lighted green arrow, which of the following is true?.
Answer:
The green arrow pointing right or left allows you to make a protected turn; oncoming vehicles, bicycles, and pedestrians are stopped by a red light as long as the green arrow is lit.
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before.
The graph correctly represents the story illustrated in the graph.
From the given graph, from the ground floor to the third floor is a rapid acceleration.
During the unload at the third floor, the velocity was constant until all the passengers was unloaded.
The deceleration of the elevator was slower than the acceleration because it occurred at a longer time.
Thus, we can conclude that the graph correctly represents the story illustrated in the graph.
The complete question is below:
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before. identify whether or not the graph correctly represents the story. Explain your answer.
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Based on the prompt what is your purpose for writing.
Based on the prompt, my purpose for writing is: B. to describe the most important ideas in Swift’s essay and explain his reason for writing.
The prompt is a requirement that asks us to summarize A Modest Proposal by Jonathan Swift and identify his purpose for writing.
The question basically asks us to describe the main ideas in this text and identify the main reason why he wrote the text.
So, Option B is correct.
Here is the complete question:
Prompt: Write a paragraph that objectively summarizes Jonathan Swift’s "A Modest Proposal" and explains his purpose. Based on the prompt, what is your purpose for writing?
to inform readers about eighteenth-century Ireland
to describe the most important ideas in Swift’s essay and explain his reason for writing
to make an argument about whether or not satire is effective
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Answer:
B is the answer
Explanation:
The barry family invited 100 relatives to their christmas party. 90 guests had italian heritage, 80 had german heritage and 75 had swiss heritage. What is the minimum number of people who claimed ancestry from all three heritages?.
Answer:
45
Explanation:
The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
Step 1 :
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
Step 2 :
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
Step 3:
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and 45 rooms occupied by both German and Italian relatives and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
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How is suspense created for the reader in this passage.
There are different ways to create suspense. How is suspense created for the reader in this passage is that the narrator has details about what is going to happen next but only shares small hints.
Creating suspense by an author entails one to hold back some information and raising key questions that arouse the mind or curiosity of the readers.
In Character development, one has to generate suspense and as such the narrator by withholding some details about what is going to happen next will arouse the curiosity of the reader and the narrator can see go ahead and give them some small hints.
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What was the main purpose of the declaration of independence brainly.
Answer:
Explaining the colonists' position on the purpose of human government
Explanation:
Traveling with the current, a boat travels a distance 1. 5 times greater than it does when traveling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1. 5 mph?.
The speed of the boat in still water if the speed of the current is 1.5mph is equal to 7.5mph.
Solution:We have to define the terms in this question
We have Sc = Speed of the current = 1.5mph
We have Sb = Speed of the boat in the still water
We have this equation:
Sb + Sc = 1.5(Sb - Sc)
Sb + Sc = 1.5Sb - 1.5Sc
We have to collect the like terms
Sb - 1.5Sb = -1.5Sc - Sc
-0.5Sb = -2.5Sc
We divide through this equation by the value of Sb
[tex]\frac{-0.5Sb}{-0.5} =\frac{-2.5Sc}{-0.5}[/tex]
Sb = 5Sc
Given that the speed of current Sc = 1.5. then
Sb = 5*1.5
Sb = 7.5
In conclusion, the speed of the boat in still water at 1.5mph = 7.5mph
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Why is it important for all the phases of growth and reproduction to proceed correctly in order for a plant species to survive?
Explanation:
Reproduction produces offspring.
All organisms reproduce. If they didn't, no species would survive past a single generation. Reproduction allows organisms to pass their traits, or characteristics, to their offspring. Parents pass on their traits through their genetic material, or DNA.
What development made exploration to africa easier for europeans.
Answer:
discover of snow on mount Kilimanjaro
Which statement correctly compares the values in the statement?.
The statement that compares values are;
0.45 > 0.0045 -0.45 < 0.0045.What is a value?
value can be regarded as the representation of some entity, and this entity give room for manipulation by a program.
They compares values because we can see that 0.45 is larger than 0.0045 in 100 times. -0.45 is lesser than 0.0045
Therefore, 0.45 > 0.0045 and -0.45 < 0.0045 compares values.
HERE IS THE COMPLETE QUESTIONS;
Which statement correctly compares the values in the statement?.
Which statement correctly compares the values in the statement?
0.45 ___ 0.0045
A. 0.045 > 0.0045
B. -0.45 < 0.0045
C. 0.45 < 0.0045
D. 0.45 = 0.0045
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The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, but one or both always go off when there is motion anywhere in the house. Suppose that for motion in a certain location, the probability that detector a goes off and detector b does not go off is 0. 25, and the probability that detector a does not go off is 0. 35. What is the probability that detector b goes off?.
The probability that detector B goes off is 0.75
The probability of an event is known to be the likelihood or chance for an event to occur.
From the given information let consider:
A = the time when detector A goes off, andB = the time when detector B goes offSince one or both of them always goes off, then:
P(A or B) = 1∴
Their complements will be zero, i.e.
P(A' and B') = 0Similarly, we are given that:
P(A and B') = 0.25Then;
P(A') = 0.35∴
The set probability for A will be:
P(A) = 1 - P(A')
P(A) = 1 - 0.35
P(A) = 0.65
Finally, the probability that detector B goes off can be computed as:
P(B) = P(A) P(B|A) +P(A') P(B|A')
P(B) = P(A) (1 - P(B|A')) + P(A') (1 - P(B'|A')
[tex]\mathbf{P(B) = P(A) (1-\dfrac{P(A \ and \ B')}{P(A)}) +P(A') (1 - \dfrac{P(A' \ and B')}{P(A')})}[/tex]
[tex]\mathbf{P(B) = 0.65 (1-\dfrac{0.25}{0.65}) +0.35 (1 - \dfrac{0}{0.35})}[/tex]
P(B) = 0.75
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What do mammals like tigers and zebras need energy for?.
Answer:
to live
Explanation:
for tigers they need energy to run
Describe the say it, cover it, resay it method. (site 1).
They say it, cover it, and resay its method is used in the system of paraphrasing.
What is paraphrasing?Paraphrasing can be defined as the one where the statement or the paragraph is being changed in rephrasing the statement. The meaning will be the same but the phrasing will be changed.
Use this procedure when read to assist students in expressing their comprehension of a word literally or determining its essence. Use it to assist pupils in paraphrasing evidence for language lessons.
Ask students to read a section of text, covering it with either a palm or a bit of paper, and thereafter rephrase what the material means. One brain can now have a chance to absorb the information while you're sleeping. The text might be clearer the next morning when you read it again.
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11111111111111111111!!!!!!!!!!!!!!!!!
Answer:
B. Own Interests
Explanation:
Read the excerpt from act i of hamlet. Ghost: upon my secure hour thy uncle stole, with juice of cursed hebona in a vial, and in the porches of mine ears did pour the leperous distilment; whose effect holds such an enmity with blood of man that swift as quicksilver it courses through the natural gates and alleys of the body. Which correctly analyzes the use of figurative language in the excerpt?.
Answer:
pretty sure it's A !! many apologies for not knowing the entire answer.
Here are 8 visual contents from the internet. Identify their implications to an individual or society.
Based on the information given, the implications of the visual contents include:
1. Improves quality of life.
2. It's vital for the improvement of the quality of life.
3. Promotes greater political participation.
4. Improves learning environment.
5. Hones individuals as more cohesive social units.
6. Provides economic opportunities.
7. Promotes greater political participation.
8. Hones individuals as more cohesive social units.
Visual contents simply means online content which are designed in image form. They include charts, diagrams, online videos, etc.
From the complete information, the visual contents and their implications are written above.
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School x and school y.
Answer:
wut.????
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Which of the following is not a characteristic of jazz?.
Answer:
answer is blues scale, good luck
when an act or law is repealed it can be best described as
Answer:
When an act or law is repealed it can be best described as an end of the law or act.
Explanation:
hi
have a good day
thank me later
carryonlearing
An end to that act or law. A new law or act could take its place
do you agree with mrs hutchinson that the lottery is unfair why
Answer:
yeah I do think it's an unfair system how many people actually win? the chances of you winning are very slim thousands and even millions of people buy lottery tickets every years and just end up loosing. you end up losing more money then winning.
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