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3 years ago

Who gets hurt in an economic recession

1 answer:

3 0

Everybody gets hurt during a recession. During a recession, output falls and as a result, unemployment rises. Employees, family members etc. are affected as many persons lose jobs and those who are seeking jobs are unable to find.

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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

The text says that the American and British demand for unconditional surrender was actually a

seropon [69]

Answer:

Explanation:

The Second World War (WWII) was one of the major transformative events of the 20th century, with 39 million deaths in Europe alone.

Periods of hunger became more common even in relatively prosperous Western Europe.

Putting aside the very real human cost, war has also serious economic costs – loss of buildings, infrastructure, a decline in the working population, uncertainty, rise in debt and disruption to normal economic activity.

If wars alter long-term economic growth, they would permanently depress economic prospects of future generations so they had to surrender.

Mortality rate has reduced, lack of father to children and the war has cause severe hungers

4 0

3 years ago

Would you change who you are to fit in society ? May it be the way you look , act , life goals .

boyakko [2]

Answer:

I would change to fit in.

Explanation:

There are so many people that could "look cooler" or be "prettier" why we like to change the way we are.

6 0

3 years ago

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Which of the following developments in the period after 1945 could most directly be used as evidence to challenge the author’s a

nalin [4]

Answer: B Great Britain’s divide-and-rule strategy in India deepened religious tensions, leading to a partition of India that resulted in millions of people dying or ending up as refugees.

Explanation:

8 0

3 years ago

Sociologists believe that personality development is affected by all of the following factors except

11Alexandr11 [23.1K]

A) is the answer, youre welcome

8 0

4 years ago

Read 2 more answers