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3 years ago

BEST ANSWER WILL GET BRAINLIEST

Advanced Placement (AP)

1 answer:

inysia [295]3 years ago

3 0

Exponential Growth occurs when a population's growth occurs at a constant rate. while logistic Growth occurs when a population's growth either slows or stops entirely due to carrying capacity, after a period of Exponential growth.

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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

2 years ago

What is the element<br> that has 6 protons 7 neutrons and 7 electrons

navik [9.2K]

Answer:

Carbon atoms

Explanation:

Mass no. of an element= no. of protons + no. of neutrons = 6 + 7 = 13

Atomic no. = no. of protons/electrons = 6

There is an unbalanced situation between the neutron no and proton no. so this has to be an isotope of Carbon-12, and this element is Carbon-13.

4 0

3 years ago

Read 2 more answers

Give an example of a human motivation that instinct theory cannot explain

brilliants [131]

Failure. Why we fail, How we fail. Who thinks we fail. and how it leads to success even though we don't know if we're really successful.

4 0

2 years ago

EXTRA POINTS!!!

ad-work [718]

The concept of continuity relates to historical developments and processes because historians can link the happenings in the past to recent occurrences.

The concept of continuity simply explains the continuation of a cycle and it shows the connection that exists between historical events.

Changes take place at different times which are then linked forward and backward in time. Continuity refers to the continuance of themes.

The concept of continuity is vital as historians are able to link what has occurred earlier to the recent things that are happening. For example, Islam had an influence on African culture and its development.

In conclusion, continuity is important to historians.

Read related link on:

brainly.com/question/15498027

6 0

1 year ago

According to B. F. Skinner's view on personality, behavior is __________. A. determined by the environment B. influenced by one'

Natasha2012 [34]

Answer:

A) determined by the environment

Explanation:

5 0

2 years ago