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3 years ago

Determine whether each of these functions is O(x^2 ).

Mathematics

2 answers:

Alex3 years ago

8 0

Answer:

it (a) 100x+1000

Step-by-step explanation:

otez555 [7]3 years ago

3 0

Answer:

(a) no
(b) yes
(c) no
(d) no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

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Answer:

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eqaution 2:Proportinal

Step-by-step explanation:

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3 years ago

If 16 c = 1 gal, then 1 1/4 gal =how many cups

vodka [1.7K]

Answer:

20 cups

Step-by-step explanation:

16 cups divided by 4 is 4 so 16 plus 4 gets you 20 cups.

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3 years ago

Find the missing probability. P(A) = 0.4; P(B) = 0.7; P(A or B) ; P(A and B) = 0.3

solong [7]

Given:

$P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3$

To find:

The value of $P(A\text{ or }B)$ .

Solution:

We know that,

$P(A\text{ and }B)=P(A\cap B)$

$P(A\text{ or }B)=P(A\cup B)$

It means, we have $P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3$ and we need to find the value of $P(A\cup B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=0.4+0.7-0.3$

$P(A\cup B)=1.1-0.3$

$P(A\cup B)=0.8$

Therefore, the value of $P(A\text{ or }B)$ is 0.8.

4 0

3 years ago

Select the correct answer from each drop-down menu.

tensa zangetsu [6.8K]

Answer:

· This image may result from the construction of an angle congruent to a given angle.

· The next step in this construction is to set the compass width to arc JK and draw an arc centered at L intersecting the existing arc through L.

Step-by-step explanation:

If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.

4 0

3 years ago

Read 2 more answers

In a marathon, Peter ran 15 more kilometers than half of the number Juan ran. Peter ran at most 36 km

emmainna [20.7K]

Answer: 42 km

Step-by-step explanation:

P=Peter. J=Juan

P=15+J/2

36=15+J/2

21=J/2

J=42 km

5 0

2 years ago