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4 years ago

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“The leader of our research team has studied this issue for 10 years. She earned a PhD from Harvard University and has, since th

en, been a world leader in her field” This statement reflects ________________ power.
a. leadership

b. referent

c. coercive

d. expert

Advanced Placement (AP)

2 answers:

alex41 [277]4 years ago

8 0

d. expert is the answer

Sergeu [11.5K]4 years ago

3 0

I'd say D. expert power because expert power is when an employee ( or in your case the teacher) has a high set of knowledge/skills that other employees do not posses. Which by the information above about this teacher's PhD and thier experience, I assume that this teacher must have expert power.

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Which sentence is a compound sentence?

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Answer: A. Paris is an old city, but some is even more ancient.

Explanation:
A is a compound sentence because the there are two complete sentences in the sentence. “Paris is an old city” is a complete sentence. “Some is even more ancient” is another full sentence. If there are two or more complete sentence separated by a conjunction, then It is a compound sentence. B is not a compound sentence, because there is only one complete sentence.

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What are the main purposes of fats when used in bakery products

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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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