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sergejj [24]
3 years ago
13

Sort the following functions from asymptotically smallest to asymptotically largest, indicating ties if there are any. You do no

t need to turn in proofs (in fact, please don't turn in proofs).
a. 4^2lgn
b. n
c. n^2.1
d. 2^lgn
Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

b. n

d. 2^lgn

c. n^2.1

a. 4^2lgn

Step-by-step explanation:

Logarithm is a function of mathematics which is used to calculate inverse function of exponents. The asymptotically smallest function will be the one that has smallest or no exponents. The exponent function is calculated in reverse when log is applied. The function with highest exponents will be largest asymptotically.

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An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
GrogVix [38]
Maybe like 5 minutes because of how much it is turning in a minimum amount of time

6 0
3 years ago
Plz help question below
bearhunter [10]
Plan A costs a total of $95 since it says $95 for unlimited talk and text.

Plan B:
(.10 x 800) + (.05 x 1000)
The (.10 x 800) represents 10 cents per talk minute for 800 minutes.
The (.05 x 1000) represents 5 cents per text message for 1000 text messages.
Solve:
.10 x 800 = 80
.05 x 1000 = 50
80 + 50 = 130
This means Plan B will cost him $130 under these conditions.

Plan C:
20 + ((.05 x 800)+(.05 x 1000))
The 20 + represents a flat rate of $20 per month.
The (.05 x 800) represents 5 cents per call minute.
The (.05 x 1000) represents 5 cents per text.
Solve:
.05 x 800 = 40
.05 x 1000 = 50
20 + 40 + 50 = 110
This means Plan C will cost him $110 under these conditions.

Plan D:
45 + (.10(800 - 500))
The 45 + represents a flat monthly rate of $45.
The (800 - 500) represents how many minutes he has to pay for with the 500 free.
The .10 is the cost per extra minute.
Solve:
800 - 500 = 300
.10 x 300 = 30
45 + 30 = 75
This means Plan D will cost him $75 under these conditions.

In short:
Plan A- $95
Plan B- $130
Plan C- $110
Plan D- $75 
The least expensive among these is Plan D, which only costs $75 per month.
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B29-12%5Csqrt%7B5%7D" id="TexFormula1" title="\sqrt{29-12\sqrt{5}" alt="\sqrt{29-12\s
SSSSS [86.1K]

\sqrt{29 \:  -  \: 12 \sqrt{5} }

  • Factor the indicated expression:

\sqrt{(3 \:  -  \: 2 \sqrt{5}) ^{2}  }

  • Simplified the index the root and also the exponent using the number 2.

\boxed{ \bold{2 \sqrt{5}  \:  -  \: 3}}

<h3><em><u>MissSpanish</u></em> </h3>
6 0
1 year ago
Read 2 more answers
A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
Dima020 [189]

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

B - A = \frac{2}{2+3}(C - A)

B - A = \frac{2}{5}(C - A)

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

B - A = \frac{2}{5}(C - A)

x - 3 = \frac{2}{5}(5 - 3)

x - 3 = \frac{4}{5}

x = 0.8 + 3 = 3.8

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

B - A = \frac{2}{5}(C - A)

y - 4 = \frac{2}{5}(11 - 4)

y - 4 = \frac{14}{5}

y = 2.8 + 4 = 6.8

Thus the correct answer is:

(3.8, 6.8)

7 0
3 years ago
Read 2 more answers
PLEASE LED ME THE ANSWER<br> ILL GIVE YOU 20 POINTS
krok68 [10]

Answer:

DEC+DEF=180

DEC=180-116

DEC=64°

in triangle DCE

angle D+angle C+angle E=180

7y+6+4y+64=180

11y+70=180

11y=180-70

11y=110

y=110/11

y=10°

angle C=4y

=4(10)

=40°

3 0
2 years ago
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