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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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monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star
GaryK [48]

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone=\frac{1}{3}\pi r^2 h

\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

\approx 205 Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

5 0
3 years ago
A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba
marta [7]
Since the odd numbers are:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25


There are 13 odd numbers. From here you would multiply 25 times four to get 100 since there is 25 numbers. Then you would multiply 13, the number of odd numbers, by 4 as well and get 52. There is a 52% chance that a odd number will be picked.
6 0
3 years ago
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Convert. 4600 g = _____ kg​
faltersainse [42]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Can one of you help me pls it's urgent
ioda

Answer:

Hello,

I am pretty sure that is is the last answer. 3√3.

Step-by-step explanation:

I hope this helps!

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CaHeK987 [17]

Answer:

Step-by-step explanation:

the missing degree is a multiple of 360, so 0.

graph is like squiggly touching -1 at pi and touching 1 at 2 pi and so forth

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3 years ago
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