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3 years ago

7

In one investigation, researchers followed three adolescent cohorts, each born a year apart, over three years to see if family h

armony changed as the participants experienced dramatic physical and psychological changes. After ruling out ________, the researchers concluded from this ________ design that family closeness declines steadily from sixth to tenth grade.

Advanced Placement (AP)

1 answer:

Vitek1552 [10]3 years ago

8 0

Answer:

cohort effects and sequential

Explanation:

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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

7 0

3 years ago

What does the simile mean between a roller coaster can feel like flying

Nostrana [21]

Answer:

Knowing that a simile is a comparison between two things/ideas using the words "like" or "as"--->

A roller coaster can feel like flying because similar to how you would imagine flying to feel like (almost free-falling, liberated, vulnerable, yet invigorating, etc.), a roller coaster enables you to feel the same way, you are high up in the air racing at fast speeds and looping in some way that somehow defies the laws of physics ✨ yes fun stuff

Essentially, roller coasters can feel like flying because flying and roller coasters give the same feelings of excitement and also being high up in the air, since being on the ground won't take ya anywhere.

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2 years ago

Reading Lesson, Chapter 9: Transforming the Economy, 1800–1860

Kruka [31]

Answer: Well im guessing all they are asking you to do is write or say in a discussion or what you would say in a group discussion. Here are the major steps you must follow if you are given the role of starting a group discussion

1.Introduce Yourself First. As the initiator, it is pivotal that you introduce yourself before telling everyone about the topic.

2.Be Clear & Coherent.

3.Present the Topic with an Interesting Take

(And the last step is to)

4.Efficiently Use your Time

Explanation:

I don't know if that helps but make sure you Discuss with you peer or group

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According to Brutus, no. 1, why was it so important that the question of whether to adopt the Constitution be decided correctly?

neonofarm [45]

Answer:

The public is selecting whether to approve a government that will protect their liberties or could subvert them. Ratification is the most important question because it determines the well being for the future generations

Explanation:

Hi I love u have a great day.

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Savatey [412]

Answer:

false is the answer for this answer

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