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3 years ago

Determine whether the series is convergent or divergent (ln(n))/(n^2)

Mathematics

1 answer:

yawa3891 [41]3 years ago

6 0

Letting n approach infinity results in the undefined "infinity over infinity."

Differentiate numerator and denominator separately, obtaining

1/n

(limit as n approaches infinity of) ------------- = 0. Series is convergent.

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Factor the trinomial x^2 - 2x - 8

ValentinkaMS [17]

Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
-2+4=2
2-4=-2
1-8=-7
Thus it should be (-4,2),
This means we should get (X-4)(X+2)

7 0

3 years ago

26. A book costs sh. (x - 300) and a pen costs sh (x + 100). If Ndagire pad sh. 3300 for 3 books and 2 pens, how much did she pa

saul85 [17]

Answer:

500 and 900

Step-by-step explanation:

3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis

3x - 900 + 2x + 200 = 3300

5x - 700 = 3300 ( add 700 to both sides )

5x = 4000 ( divide both sides by 5 )

x = 800

Then

cost of book = x - 300 = 800 - 300 = 500

cost of pen = x + 100 = 800 + 100 = 900

7 0

1 year ago

Vincent mows 8 lawns in 2 hours. How many lawns are mowed in 5 hours?

Alex777 [14]

<h3>Answer: 20 lawns</h3>

Work Shown:

8 lawns = 2 hours

4 lawns = 1 hour (divide both sides by 2)

20 lawns = 5 hours (multiply both sides by 5)

5 0

3 years ago

Read 2 more answers

What is the constant of proportionality in this table?

Andreyy89

Answer:

k = 10

Step-by-step explanation:

X progresses by 25, while y progresses by 250.

So divide 250 ÷ 15 and your answer is 10.

6 0

3 years ago

Read 2 more answers

Help solving this math question

olga_2 [115]

22. B) $65,000,000 per year.

23. B) Education.

Step-by-step explanation:

Step 1; To find the average rate of change in annual budget between the two given years. We divide the difference in values for the two years by the period in between the two years. In 2008, the budget was $358,708,000 while in 2010 it was $488,106,000. The period in between was 2 years i.e 2009 and 2010.

The average rate of change = $\frac{488,106,000-358,708,000}{2}$ = $\frac{129,398,000}{2}$ = $64,699,000 per year.

So the average rate of change was $64,699,000 which approximately equals option B. $65,000,000.

Step 2; To find the human resources program's 2007 to 2010 ratio we divide the value in 2007 to the value in 2010. To find the other similar ratio, we divide the value in 2007 to the value in 2010 for all the other programs and determine which is closest to the human resources program.

Human resources program ratio = $\frac{4,051,050}{5,921,379}$ = 0.6841,