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disa [49]
3 years ago
14

Consider the following function. f(x) = (x + 5)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated

list.) x = −5 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing (−5,[infinity]) decreasing (−[infinity],−5) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = DNE relative minimum (x, y) = −[infinity],[infinity]

Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

See explaination

Step-by-step explanation:

Please kindly check attachment for detailed and step by step solution of the given problem.

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Svetlanka [38]
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse 

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x 

x^2+36=100 Square each individual term 

x^2+=100+36 Subtract 36 from both sides 

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So our answer is x = 8 
The ladder touches the 8 feet mark on the wall.
5 0
3 years ago
A cone has a diameter of 18 units and height of 8 units. What is its volume? 72π cubic units 216π cubic units 648π cubic units 8
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B 216 because if you multiply pi with the answer you get 678.58
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A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company
sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = \frac{50}{250 } \\= 0.20

B) Probability that the selected employee has been with the firm between 5 and 10 years

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C) Probability that the selected employee has been with the firm more than 10 years

= \frac{125}{250} =0.50

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)

7 0
3 years ago
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Eddi Din [679]

Answer:

\boxed{13} pages

Step-by-step explanation:

Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.

\frac{98}{5} = 19.6

Multiply this value by \frac{2}{3} to get the total number of pages.

19.6 * \frac{2}{3} \approxeq 13 pages

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3 years ago
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The correct answer is C
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