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2 years ago

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There are two words or phrases in this problem that tell you what operations will be in the algebraic expression. Choose the cor

rect meaning for each. A. More than means "use a greater than sign." B. Twice means "multiply by 2." C. Twice which means "divide by 2." D. More than means "add."

Advanced Placement (AP)

1 answer:

sergij07 [2.7K]2 years ago

7 0

A and B seem true but I don’t fully understand the question. Good luck!!!!

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Ecology is one component of Environmental Science that studies organismal __________. A) chemistry B) anatomy C) interactions D)

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Answer is C, its the study of interactions between organisms and their environments.

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3 years ago

AP Human Geography question! How was Thomas Malthus influenced by the Industrial Revolution?

Svetach [21]

Answer:

<h3>Thomas Malthus argued that the unprecedented population growth will outpace the agricultural revolution, and this will result in deaths through starvation and hunger (Thomas). However, it did not happen. The industrial revolution was the driving force behind social change in Britain, especially the rural lives.</h3>

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2 years ago

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

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3 years ago

This year is expected to be a great one for selling walk shoes in Georgia. At very low prices, only the most efficient shoemaker

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The supply curve will be composed of the following points
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3 years ago

1. What economic question(s) does this case require the town to ask? (2 points) 2. List the possible resources that the town wou

Oxana [17]

I don't have the last answer, but here are the rest of them

<span>1. </span><span>What economic question(s) does this case require the town to ask? (2 points) </span>

<span>a. </span>Should the dog park be built?

<span>b. </span>Should the schools be expanded?

<span>c. </span>Should the land be sold to the man who wants to build luxury homes?

<span>2. </span>List the possible resources that the town would need to construct and maintain the park. (2 points)

<span>a. </span>Fencing.

<span>b. </span>Waste bag dispensers

<span>c. </span>Playground-like area

<span>3. </span>What town resource(s) are scarce? (1 points)

<span>a. </span><span>money </span>

<span>b. </span>material

<span>4. </span>Who will be the consumers using this public good<span>? (2 points) </span>

<span>a. </span>The public who own dogs

<span>b. </span>7,000 registered dogs

<span>c. </span>Unknown amount of unregistered dogs.

<span>5. </span>What is the opportunity cost <span>of building this park? Explain. (5 points) </span>

<span>6. </span>Identify at least one pro and one con for each of the following options: (5 points)

<span>a. </span><span>leaving the land undeveloped </span>

<span>b. </span><span>selling the land to real estate developers to build homes </span>

<span>7. </span>What, if any, market failures might exist in this town? Explain. (3 points)

<span>a. </span><span> What if the dog park is built, and is unused?</span>

<span>b. </span><span>What if the land is sold to build luxury homes, and they are too expensive to be bought/rented?</span>

<span>c. </span>What if the school is expanded, and isn’t filled?

<span>d. </span>

<span>8. </span>Create a chart that identifies the positive and negative externalities <span>of building the park. Explain the effect of each externality. (Hint: You may use the charts on pp. </span>

64−65 as a guideline.) (6 points)

<span> <span><span> <span> Pro’s </span> <span> Con’s </span> </span> <span> <span> The dog park offers space for dogs. </span> <span> What if land is wasted? </span> </span> <span> <span> Gives dog owners a space of their own to interact with their pets. </span> <span> What if the luxury homes deal was better? </span> </span> <span> <span> Having the extra park space will make the town to be more family and pet friendly. </span> <span> What about the cost to build it? </span> </span> <span> <span> Could attract more families, along with their dogs. </span> <span> Money for school expansion will be lost. </span> </span> </span></span>

<span>9. </span>How could the town government counteract the negative externalities<span>? (3 points) </span>

<span>a. </span><span>The building of the park will be used by over 7,000 registered dogs and their owners, and that means that there will be much money made.</span>

3 0

3 years ago

Read 2 more answers