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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The speaker of which statement would be best served by joining an interest group?.
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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Which of the following is a criticism of piaget's cognitive development theory?.
Answer:
ANSWER IS
Explanation:
The cognitive stages are not as fixed or rigid as Piaget proposed. ... Piaget may have underestimated the role that parents and other people play in a child's intellectual development. Some psychologist believe that we can 'hothouse' children so they develop at a quicker rate. Piaget ignored different kinds of thinking.
Which of the following is a potential drawback to using ninhydrin?.
Answer:
I need only 5 brainlisted please give me
Put the plot events from animal farm in the correct order.
Answer:
how can u put more detail please
A natural number is less than the sum of its opposite and 8.
Answer:
3
Explanation:
What is the average of 22. 10; 13. 45; 25. 10; 17. 20; 19. 10?.
Answer:
9.595
Explanation:
The average will be the addition of the numbers and then dividing them by the total numbers that we've. This will be:
= (22.10 + 13.45 + 25.10 + 17.20 + 19.10) / 10
= 96.95 / 10
= 9.695
Accelerated mammary gland development in intellectually disabled females.
A mammary gland simply means the gland that's located in the female's breasts and it's responsible for lactation.
Your information is incomplete. Therefore, an overview of the topic will be given. It should be noted that males and females have glandular tissue within their breasts.
In females, the glandular tissues develop after puberty. The mammary glands are responsible to produce milk. It is typically regulated by hormones.
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help, please !!
triangle FGH is inscribed in the circle above. If FG is congruent to GH and the measure of G is 30 what is the measure of H
Applying the inscribed angle theorem, the measure of ∠H is: C. 75°
Recall:
Based on the inscribed angles theorem, the measure of an inscribed angle = half of the measure of the intercepted arc.Since arc GH is congruent to arc FG, therefore:
m∠F = m∠H
Thus:
m∠H = 1/2(180 - m∠G)
Substitutem∠H = 1/2(180 - 30)
m∠H = 1/2(150)
m∠H = 75°
Therefore, applying the inscribed angle theorem, the measure of ∠H is: C. 75°
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Which term refers to a secure systems ability to protect against.
Answer:
Hey mate!
Explanation:
Integrity refers to the protection of information from unauthorized modification or destruction. Ensuring integrity is ensuring that information and information systems are accurate, complete and uncorrupted.
pls mark me as brainliest!!
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. Y = x squared + x + 6 a. (0. 5, -5. 75) c. (-0. 5, 6) b. (-0. 5, 5. 75) d. (0. 5, 5. 75).
Which of the following correctly completes the square for the equation below x^2+2x=19.
Answer:
Do we answer it?? What is the following?
The future for petroleum use at the moment looks rather uncertain.
The petroleum is a widely consumed economic product. The future for petroleum use at the moment looks rather uncertain is a true statement.
The future for petroleum use at the moment looks rather uncertain been though we as a nation and others all over the world are enjoying the key benefit of a very advanced infrastructure that is already put in motion.
The effects of petroleum use in the environmental has lead to harm to public health. This is because carbon dioxide emissions in exhaust fumes, has caused a lot of respiratory problems etc.
Other harm to our ecosystems due to oil spills and seepage etc. We must known that the key issue is that oil is a finite resource and may soon finish.
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If you don't sleep enough at night you will be very ____ in the morning.
Answer:
cansado
Explanation:
If you don't sleep enough at night, you will be very cansado (tired) in the morning.
booker t. washington is noted for which of the following?
Answer: C. Establishing the Tuskegee Institute
Explanation:
Write chemical formulas for the compounds in each box.
Answer:
You said compounds in each box. I think we need a picture???
Change the following to improper fraction or mixed number 35/8.
Answer:
4 3/8
Explanation: Step 1 - Find Whole Number.
35 / 8 = 4.3750 = 4
35 - (8 x 4) = 3 Step 2 - Find New Numerator
A rock is thrown straight up from the surface of earth. Neglecting air resistance, which one of the following statements describes the energy transformation of the rock as it rises?.
Answer:
A rock is thrown straight up from the surface of the Earth. Which one of the following statements describes the energy transformation of the rock as it rises? Neglect air resistance. (c) The kinetic energy increases and the potential energy decreases.
Please mark me as brainliest.
The statement that describes the energy transformation of the rock as it rises is the kinetic energy decreases and the potential energy increases. The correct option is (b)
What is the transformation of energy?The process of converting energy from one form to another is called energy transformation or energy conversion. Energy is a property of matter that gives us the ability to move or do work.
The environment has a variety of energy forms. These energies include gravitational energy, potential energy, kinetic energy, etc. The potential energy is transformed into kinetic energy when the person movers.
The person uses kinetic energy to perform some action. The energy that, when labor is done, is transformed into kinetic energy.
Therefore, the correct option is (b) The kinetic energy decreases and the potential energy increases.
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The question is incomplete. Your most probably complete question is given below:
(a) Both the potential and kinetic energy increase
(b) The kinetic energy decreases and the potential energy increases
(c) The kinetic energy increases and the potential energy decreases.
(d) The total energy of the rock increases
Properties of protein is least likely to be affected by change in ph.
Answer:
Given
Rate of interest = 10% per annum
Principal for the first year = Rs 6000
Interest for the first year = Rs (6000 × 10 × 1) / 100
= Rs 600
Amount at the end of first year = Rs 6000 + Rs 600
= Rs 6600
Principal for the second year = Rs 6600
Interest for the second year = Rs (6600 × 10 × 1) / 100
= Rs 660
Amount for the second year = Rs 6600 + Rs 660
= Rs 7260
Therefore, compound interest for 2 years = final amount – (original) Principal
= Rs 7260 – Rs 6000
We get,
= Rs 1260
Which of the following statements is not true about alcohol?.
Answer:
Alcoholics are able to limit the amount they drink.
Explanation:
Matthew has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $13, before discount and tax. After the discount, and before tax, the price is $12. 48. Find the percent discount.
A human fingernail has a hardness of approximately 2. 5. Which two minerals are softer than a human fingernail?.
Answer:
gypsum and talc
Explanation:
gypsum has 2 hardness and talc has 1
Elena walked 12 miles. Then she walked 0. 25 that distance. How far did she walk all together?.
Suppose a 10 ml beaker and a 100 ml beaker are both filled with water, and that the water in both beakers is the same temperature. Which statement below about the water in the two beakers is true?.
What is the first step in solving the equation 3. 5 n + 6. 4 = 42. 5? add 6. 4 to each side of the equation. Subtract 6. 4 from each side of the equation. Multiply each side of the equation by 3. 5. Divide each side of the equation by 6. 4.
Answer:
3.5n+6.4=42.5
-6.4=-6.4
3.5n=36.1
————— (divide)
3.5=3.5
n=36.1/3.5 or 10.314
Explanation:
I'm confused by the question... is the question what is the first step of solving this equation?? and if it is, your answer is correct. which is subtract 6.4 for both sides.
which statement best describes how the author uses language in the passage? the author uses metaphor and simile to compare autumn to various elements found in nature. the author uses apostrophe to help the reader form an objective, detached view of autumn. the author uses a simple, logical style to explain to the reader what autumn is really like. the author uses imagery and personification to make autumn seem friendly and generous to the reader.
There are different kinds of Language. The statement that best describes how the author uses language in the passage is that the author uses imagery and personification to make Autumn seem friendly and generous to the reader.
Personification is simply known to be used when one wants to use human qualities on an object e.g. Close bosom-friend of the maturing sun
Imagery is simply known to be used also to describe something using things that people don't know especially those that have not seen or heard of it. e.g. With fruit the vines that round the thatch-eves run.
See full question below
Read the passage from "To Autumn."
Season of mists and mellow fruitfulness,
Close bosom-friend of the maturing sun;
Conspiring with him how to load and bless
With fruit the vines that round the thatch-eves run;
To bend with apples the moss'd cottage-trees,
And fill all fruit with ripeness to the core
Which statement best describes how the author uses language in the passage?
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Answer:
A.
Explanation:
The author uses metaphor and simile to compare autumn to various elements found in nature.
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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What is one technique to help a person get proper sleep.
A. Define dual enrollment.
B. What is another name for dual enrollment?
The nims management characteristic of information and intelligence management may include surveillance of disease outbreaks.
Answer: It's True
Hopefully it's right