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2 years ago

Drag each label to the correct location on the image. Not all tiles will be used.

Advanced Placement (AP)

1 answer:

katrin2010 [14]2 years ago

5 0

Answer:

Speaking to people from the industry

Speaking to a career counselor

Doing an internship at a hotel

Explanation:

I just took the test 100% correct.

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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

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3 years ago

You are given a box of 100 silver dollars, all facing "heads" up. You are instructed to shake the box 3 times; after each shake,

NemiM [27]

Answer:

Explanation:

Assume that after each shaking, a silver dollar has an equal chance of "head" or "tail" up.

There will be likely 100/2 = 50 dollar coins with "heads" up. Removing them leaves 50 coins.

Again after the second shakes, 50/2 = 25 coins will likely be "heads" up. Removing them leaves 25 coins.

After the third shakes, approximately 25/2 = 12.5 coins will be "heads" up. Of course there is no 0.5 coin. Rounding up you likely get to keep 13 dollar coins.

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2 years ago

The layer of ozone gas absorb rays that come from the sun to the earth

Strike441 [17]

Answer:

Good ozone is found in the stratosphere, far above the Earth's surface. At that height, it absorbs and scatters ultraviolet (UV) radiation from the Sun, particularly the most dangerous UV-B and UV-C forms. Ozone is the planet's natural sunscreen.

Explanation:

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Jake and Kate made a down payment of 16% on a house that cost $267,450. They are charged an origination fee of 0.5%, an intangib

umka2103 [35]

Answer:

Explanation:

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Alexus [3.1K]

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