All categories

2 years ago

Any answers?only have 30 minutes left to answer gonna post more

Advanced Placement (AP)

1 answer:

aalyn [17]2 years ago

7 0

Answer:

Explanation:

You might be interested in

If prenatal exposure to a substance leads to birth defects, the substance is called

Masteriza [31]

Answer:

teratogens

Explanation:

3 0

3 years ago

Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437 miles, and there are 36 days le

kumpel [21]

Answer:

(500-437)/36=x

Explanation:

You take the goal and subtract that with the amount that he already walked. Then you divide that by the amount of days he have to achive that goal. There's ur answer.

8 0

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

7 0

3 years ago

Why do some historians argue that the advent of agriculture was an unfortunate development?

ankoles [38]

Because it made people shorter, weaker and changed nature. People stopped getting a nutritious diet because they kept eating the same food. While hunters and gatherers would have meat, fruit, vegetables and grain

3 0

2 years ago

How and why did states in Africa develop and change over time?<br>For; AP World History: Modern

ratelena [41]

Answer:

Explanation:

Between about 800 and 1200 AD, partly in response to the new currents of trade, Africans in the southern sahel developed a set of trading states with an elaborate organization.Well before 1500 AD, a number of states had come into existence, that had no connection at all with the trade across the Sahara.

plz mark as brainliest

4 0

3 years ago