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3 years ago

Taking a quiz & i don’t understand please help

Advanced Placement (AP)

1 answer:

aivan3 [116]3 years ago

8 0

I would look back on your notes if I were you. I bet the answer is in there :)

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Directions: In preparation for Socratic Seminar, write an argumentative essay (3-5 paragraphs) on the following topic: Do you ag

Mumz [18]

Explain no because the right called freedom of speech is still a thing and they are taking away his freedom of speech. I would write for you but I’m not good at writing very well

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3 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

Urban planners need a community college or two year degree. True or false?

miss Akunina [59]

False you need 4 year undergraduate and a 2 year graduate

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3 years ago

Read Carolina Blue’s credit report below. Carolina is seeking a bank loan to purchase a new vehicle. Analyze Carolina’s credit r

Setler79 [48]

The credit report refers to the record of the credit history of a person.

A credit report is simply referred to as a record of the repayment of the debt of a borrower. It shows the record of the credit history of a borrower from different sources.

In this case, the credit report will be used in determining if Carolina will be given the loan or not. In a situation whereby Carolina pays the loans that she had taken earlier on time, this can ensure that she'll be given another loan.

On the other hand, if Carolina doesn't pay back her loans in time, this can discourage the bank from given her the loan.

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2 years ago

What is the relationship between the mind and the body?

Rom4ik [11]

The answer is C. This is because the mind can make the body do anything, and the body can make the brain think certain things also. So basically the mind and the body play tag with each other on this topic.

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3 years ago