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3 years ago

4. Given the data below, where X is the independent variable and Y is the dependent variable. If you

1 answer:

3 0

The answer is A, look at the difference between 0 and 15 (15) and the difference between 5 and 10 (5) then divide them 5/15.

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

otez555 [7]

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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3 years ago

Read 2 more answers

What is the time 5 minutes before noon

Rashid [163]

Answer:

11:55

Step-by-step explanation:

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3 years ago

Read 2 more answers

Equation by elimination<br>-4x-9y=20<br>-2x-9y=-24

storchak [24]

I'm not 100% sure this is right but I think this is how you do it

5 0

3 years ago

One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, includin

stira [4]

Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

99 ways to give out the 2nd prize

98 ways to give the 3rd prize

97 ways to give the last prize

∴ P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

1 way to give person 19 their prize

98 ways to give out the 3rd prize

97 ways to give out the last prize

So, P(98,2) = 98 x 97

8 0

3 years ago

15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains

mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

$0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750$

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

$32/100 * 15000 =4800$

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

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4 years ago