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Natali [406]
3 years ago
10

Determine whether each of the functions log(n + 1) and log(n2 + 1) is o(log n)

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
Assuming the order required is as n-> inf.

As n->inf, o(log(n+1)) -> o(log(n)) since the 1 is insignificant compared with n.

We can similarly drop the "1" as n-> inf, the expression becomes log(n^2+1) ->
log(n^2)=2log(n)  which is still o(log(n)).

So yes, both are o(log(n)).

Note: you may have more offers of answers if you post similar questions in the computer and technology section.

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Edison has a sales job and receives $45,448 as his annual pay, plus commission. His company pays him a commission of 15% on his
11111nata11111 [884]

Answer:

Edison will be paid $15,112 for 3 months

Step-by-step explanation:

Edison receives an annual fixed pay = $45,448.

Monthly pay  = 45,448/12 = $3787.33

3-month salary = $3787.33 *3 = $11.362

Commission = 15%

Total sale = $25,000 for the first 3 months.

Commission amount = 25,000*0.15 = $3750

Therefore, total pay that Edison received during first 3 months= salary + commission

= $11,362 + $3750

= $15,112

Thank you.


4 0
3 years ago
What is the volume of a cube that measures 0.6 m on each edge?
Tamiku [17]
Volume=a3=0.63=0.216
4 0
4 years ago
Read 2 more answers
PLEASE HELP ME!!! AWARDING BRAINLIEST!!! MATHEMATICS
Troyanec [42]

6x-6

Step-by-step explanation:

add both equations together, then multiply that by 2

2*(2x+3+x-6)

8 0
3 years ago
Read 2 more answers
Susan is 50 inches tall. myra is 3 inches taller than elanie,who is 2 inches shoerter than susan. how tall is myra
adoni [48]
Myra is 51 inches tall.

We'll use Susan as our base for this. She is 50 inches tall, and ignoring Myra or now, we move on to Elanie, who is said to be 2 inches shorter than Susan - therefore, Elanie is 48 inches tall. Now that we know this, we can return to Myra's information which says she is 3 inches taller than Elanie, which would mean she is in fact 51 inches tall.
8 0
3 years ago
Factor completely. 36c^2−8cd+49d^2
Molodets [167]

\huge\bold\green{Answer:-}

Simplifying

36c2 + -84cd + 49d2 = 0

Reorder the terms:

-84cd + 36c2 + 49d2 = 0

Solving

-84cd + 36c2 + 49d2 = 0

Solving for variable 'c'.

Factor a trinomial.

(6c + -7d)(6c + -7d) = 0

Subproblem 1

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

Move all terms containing c to the left, all other terms to the right.

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Subproblem 2

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

Move all terms containing c to the left, all other terms to the right.

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Solution

c = {1.166666667d, 1.166666667d}

<h2>I HOPE IT HELPS ♥️</h2>

3 0
3 years ago
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