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Alona [7]
3 years ago
5

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

It diverges.

Step-by-step explanation:

We are given the integral: \int\limits^{-1}_{-\infty} \ln |x| dx

\int\limits^{-1}_{-\infty} \ln |x| dx=\int\limits^{-1}_{-\infty} \ln (-x) dx=\\\\= \lim_{t \to \infty} \int\limits^{-1}_{-t} \ln (-x) dx= \lim_{t \to \infty}( x(\ln \left(-x\right)-1))|^{-1}_{-t}=1-\infty=-\infty

So it is divergent.

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Salem High School's winter sports teams WON 72% of their games last season. If the teams played 50 games, how many games did the
Dmitriy789 [7]

Answer

Find out the how many games did the teams lose .

To prove

Formula

Percentage = \frac{Part\ value\times 100}{Total\ values}

As given

Salem High School's winter sports teams WON 72% of their games last season.

If the teams played 50 games .

Percentage = 72%

Total value = 50

Put in the formula

72 = \frac{Number\ of\ games\ win\times 100}{50}

Number\ of\ games\ win = \frac{72\times 50}{100}

Number of games win = 36

Number of  games teams loses = Total number of games - number of games win

                                                          = 50 - 36

                                                          = 14

Therefore the number of games  team loses are 14 .



5 0
3 years ago
A second grade student is 4 feet tall. Her teacher is 5 2/3 feet tall. How many times as tall as the student is the teacher
Alchen [17]

Answer:

The teacher is 1.416667 times taller than the student

Step-by-step explanation:

(5 2/3)/4

=1.416667

4 0
3 years ago
The sum of a number and three more than the number.
Likurg_2 [28]

Answer:

3x

Step-by-step explanation:

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3 years ago
The value of x is 40 but how do I get that I need to show work ?
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Answer:

120 ÷ 3 = 40

Step-by-step explanation:

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