Express the function \[\frac{n^3}{1000} - 100n^2 - 100n + 3\]in terms of \(\huge{\Theta}\)notation ...?

Answers

Answer 1
The function n^3/1000 - 100n^2 - 100n + 3. The big-Theta notation represents a function that can sandwich the given function for sufficiently large n. Formally, Theta(g(n): k1*g(n) < f(n) < k2*g(n). Sometimes, it is just as easy as removing the lower order terms and dropping the coefficient of the highest degree term. Thus, the function can be represented as Theta(n^3).

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Related Questions

There are 13 fish in an aquarium. seven of the fish are guppies. how many non-guppies are in the aquarium

Answers

The answer for this question is 6.
There are 6 non-guppies in the aquarium

On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount? What will that amount be?
Help !

Answers

x is the number of weeks
Diego's amount after x weeks: 700-35x
Juan's amount after x weeks: 450 + 15x
These are equal so write equation
700-35x =450 +15x
700-450 = 35x +15x
250 = 50x
x = 5 weeks
450 +15*5 = 450 +75 = $525

Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralph, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?

Answers

The question requires us to form an algebraic expression in order to calculate Dominic's weight, after telling us his weigh with respect to his peers and the sum of their weights. Let D represent Dominic's weight, R represent Ralph's weight and P represent Peter's weight. From the given information, we can form:
2D = R
3D = P
P + R + D = 720
Now, we substitute values into the last equation:
3D + 2D + D = 720
6D = 720
D = 120
Dominic's weight is 120 pounds

What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?

Answers

paralell has same slope
the slope for ax+by=c is -a/b
that means that a line paralell to 2x+3y=3 will have 2x+3y=something
find that something

given
(3,-4)
x=3 and y=-4 is a soltuion
2x+3y=something
2(3)+3(-4)=something
6-12=something
-6=something

2x+3y=-6

A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 30 seconds?

Answers

44*4 =176
176+22
it makes 198 copies
it can make 198 copies in 4 mintues and 30 seconds plz make brainlest

1. Which is an example of an activity with a moderate amount of physical activity?
a.) cross-country skiing
b.) biking up steep-hill terrains
c.) playing a game of soccer
d.) skating

2. Which could be considered a vigorous physical activity?
a.) surfing
b.) dancing
c.) playing doubles tennis
d.) chopping wood

3. Which activity provides a low level of physical exercise?
a.) raking leaves
b.) walking the dog
c.) dancing
d.) washing dishes

Answers

1 . is ,c , 2 is d , 3 is ,b 
Final answer:

Activities that provide moderate, vigorous, or low exercise levels can be determined by their intensity and duration. Skating involves moderate physical activity, surfing can be considered a vigorous activity, and walking the dog provides a low level of physical exercise.

Explanation:

The level of physical activity involved in various activities usually depends on the intensity and duration of the actions involved. An example of an activity involving a moderate amount of physical activity could be d.) skating, considering the balance, coordination, and movement involved.

A vigorous physical activity, on the other hand, is characterized by increased heartbeat and breathing. Based on this, a.) surfing could be categorized as a vigorous activity as it involves intense body workout and body balance. Lastly, an activity that provides a low level of physical exercise involves less effort and fewer calories burned. A good example of this could be b.) walking the dog, as this activity mostly involves casual walking.

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The expression in the figure below represent the measures of two angle.Find the value of x . f || g . The diagram is not to scale.

Answers

I hope this helps you




2x and 8x+40 complementary angles

their sum is 180



2x+8x+40=180


10x=140


x=14

What is the difference between slope on a table and slope on a graph

Answers

On a table there is no way you could calcualte rise over run, but other than that they are veryyyyyy similar

The difference between slope on a table and slope on a graph is shown below:

The slope on a table refers to the rate of change between two points represented in a table of values.

It is calculated by finding the ratio of the change in y-values to the change in x-values between two points.

The slope on a table is determined by taking the difference in y-values and dividing it by the difference in x-values.

On the other hand, the slope on a graph refers to the steepness or incline of a line that connects two points on a graph.

It is calculated by the ratio of the vertical change (rise) to the horizontal change (run) between two points on the graph.

While both the slope on a table and the slope on a graph represent the rate of change, they are determined differently.

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A giant salmon skier uses skies that are one sixth her height. if she is 174 cm tall how long are her skies?

Answers

This is a proportion problem
1/6= x/174
Cross multiply and divide
1 x 174= 174
174 divided by 6= 29

Answer is 29 cm

W hich of the following are you not likely to see on a graph? dependent variable, units, independent variable, prediction ...?

Answers

Answer: Fourth option is correct.

Step-by-step explanation:

On graph, we can display dependent variables, units, independent variables , because they can be expressed in numbers easily.

Whereas prediction is not competent every time to get expressed with numerical terms.

Hence, prediction is not likely to see on the graph.

Thus, Fourth option is correct.

A baker bought some flour. He used to 2/5 of the flour to make bread and used the rest to make batches of muffins. If he used 16 pounds of flour making bread and 2/3 pound for each batch of muffins how many batches of muffins did he make

Answers

he made 6 batches of muffins

77 decreased by twice of a number

Answers

use a variable for the unknown number so it would be 77-2x also if you don't know a number and a variable together means to multiply them
Final answer:

The algebraic expression for '77 decreased by twice of a number' is 77 - 2x, where x is the unknown number.

Explanation:

The question '77 decreased by twice of a number' involves creating an algebraic expression. This expression will have the form 77 - 2x, where x represents the unknown number. To decrease 77 by twice a number means to subtract two times that number from 77.

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What is the equation in point slope form of the line that passes through the point (–2, 4)(–2, 4) and has a slope of 5?

Answers

Point-slope formula: y-y1=m(x-x1) 
Now we'll plug in the numbers they give us into the formula:

y-4= 0(x+2).

PETS Becky wants to buy some fish for her aquarium. She has $20 to spend and the fish cost $2.50 each. Write and solve an inequality to find how many fish Becky can afford.

Answers

To start, you want to determine the inequality. You can do this by setting the number of buying n fish to be less than or equal to her current amount of money, being as it can't go over or she wouldn't be able to afford the fish. This inequality would be written so her amount of money (20) would be greater than or equal to the cost of n fish (2.5n), which would then look as such: 20≥2.5n. To solve this inequality, just solve for n by dividing both sides by 2.5, giving you 8≥n. This would mean that Becky can afford to buy up to 8 fish.

The inequality 2.5x ≤ 20 represents the given situation, and Becky can afford at most eight fish.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of fish Becky can afford.

We can write an inequality to represent the situation using the cost of the fish and the amount of money Becky has:

2.5x ≤ 20

To solve this inequality, we'll start by isolating the variable x on one side of the inequality. To do that, we'll divide both sides of the inequality by 2.5:

x ≤ 8

This inequality tells us that Becky can afford at most 8 fish.

To check:

20/2.5 = 8 fish

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The lengths of two sides of a triangle are 9 and 15. What can be said about the length of the third side?
It must be geater than or equal to 6 and less than 24.
It must be greater than or equal to 6 and at most 24.
It must be greater than 6 and less than 24.
It must be greater than 6 and at most 24.

Answers

Answer:

Your answer is B

As the sum of any 2 lengths of a triangle is always greater than the third length

Step-by-step explanation:

It must be greater than or equal to 6 and at most 24.

Given that

The lengths of the two sides of a triangle are 9 and 15.

We have to determine

What can be said about the length of the third side?

According to the question

The lengths of the two sides of a triangle are 9 and 15.

By the properties of the triangle, the sum of the square of two lengths is equal to the third side length of the triangle.

Always remember that when you add two sides to a triangle, the sum will come out to be higher than the third side’s length.

Hence, It must be greater than or equal to 6 and at most 24.

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Solve log x − 1 16 = 4.

Answers

i hope this helps you



log(x-1)4^2=4


2.log (x-1)4=4


log (x-1)4=2


log (x-2)2^2=2


2log (x-1)2=2


log (x-1)2=1


[logab=y b=a^y]


b=2 a=x-1 y=1


2=(x-1)^1


x-1=2


x=3

m ∠CAD = 0.3(m(GE) - m(CD))
True or False

Answers

Answer:

False

You’re welcome ;)

Which of the following are properties of the incenter of a triangle? Choose all that apply.
A. The incenter is where all of the bisectors of the angles of the triangle meet.
B. The incenter of an obtuse triangle lies on the outside of the triangle.
C. The incenter is equidistant from each vertex of the triangle.
D. The incenter of a triangle is always inside it.

Answers

A & D

A. The incenter is where all of the bisectors of the angles of the triangle meet.

D. The incenter of a triangle is always inside it.

Answer:

A. The incenter is where all of the bisectors of the angles of the triangle meet.

C. The incenter is equidistant from each vertex of the triangle.

D. The incenter of a triangle is always inside it.

Step-by-step explanation:

Rick combines 8 atoms of hydrogen and 4 atoms of oxygen to make 4 molecules of water

Answers

Yes. Then the formula of the resultant water will be:  4H₂O
That, means four molecules of water.

Egypt is 386,700 square miles and wyoming is about 97,818 square miles egypt is about how many times as large as wyoming

Answers

To solve this problem, we need to divide 386,700 by 97,818 to see how many times you need to multiply 97,818 to get 386,700; after doing this, we can see that Egypt is about 3.95 times larger than Wyoming. 
Final answer:

Egypt is approximately 4 times as large as Wyoming when comparing their areas.

Explanation:

To calculate how many times larger Egypt is compared to Wyoming, we divide the area of Egypt by the area of Wyoming. The area of Egypt is 386,700 square miles, and the area of Wyoming is about 97,818 square miles.

Dividing the area of Egypt by the area of Wyoming gives us: 386,700 / 97,818 ≈ 3.95.

Therefore, Egypt is approximately 4 times as large as Wyoming.

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Which national legislature has themost members?

Answers

China has the most members.

To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

Answers

The answer is 11 square ft!!!!!
11 square feet... 170.5 {divided by} 15.5

If f(x) = integral of 1/ (sqrt of t^3 +2)dt, then f'1 = ?
I'll write the equation with teh equation thing also ...?

Answers

Differentiating an integral removes the integral.

f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.


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Consider the surface given by
2x^2+5y^2+z^2=4.
The surface is sliced by planes of the form x=a, y=b or z=c for values of a, b, c given below. How do I match the resulting slices (in other words, the corresponding traces) with their correct plots?

-- Also the slices are:
1. z= 1.5
2. x= 1
3. z=0
4. y=0

Answers

Final answer:

The student can match each slice of the surface 2x^2+5y^2+z^2=4 with its correct plot by substituting the slice values into the equation, resulting in a set of new equations each representing a different conic section centered at the origin.

Explanation:

To understand the shapes or plots of the resulting slices when the surface given by 2x^2+5y^2+z^2=4 is sliced by planes of the form x=a, y=b or z=c, you must substitute values of a, b, and c into the equation of the surface to reveal new equations describing the slices.

Let's take z=1.5 as example. Substituting z with 1.5 into the equation, we get 2x^2+5y^2+(1.5)^2=4. This simplifies to 2x^2+5y^2=2.25. This is the equation for an ellipse centered at the origin on the xy plane.Substituting x=1 into the equation gives us 2*(1)^2+5y^2+z^2=4. This simplifies to 5y^2+z^2=2, another ellipse but centered at the origin on yz plane.Substituting z=0, gives us the equation 2x^2+5y^2=4. This is the equation of an ellipse in the xy plane centered at the origin.Finally, substituting y=0 into the equation results in 2x^2+z^2=4. This is the equation of a circle in the xz plane centered at the origin.

By comparing these resulting equations with the standard forms of conic sections (circle, ellipse), you can match them with their correct plots.

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I need help finding the slope for AB, BC, CD and DA

Answers

AB = 1/2
BC = -2
CD = 1/2
DA = -2

A certain chain of ice cream stores sells 28 different flavors, and a customer can order a single-, double- , or triple-scoop cone. suppose on a multiple-scoop cone that the order of the flavors matter and that the flavors can be repeated.how many possible cones are there? ...?

Answers

Final answer:

There are 22,764 possible cones.

Explanation:

To calculate the number of possible cones, we need to consider the number of flavors and the number of scoops. Since a customer can order a single-, double-, or triple-scoop cone, we will consider each case separately.

For a single-scoop cone, the customer can choose one flavor out of the 28 available flavors. Therefore, there are 28 possible single-scoop cones.

For a double-scoop cone, the customer can choose two flavors for the two scoops. Since the order of the flavors matters and repetition is allowed, we can think of this as selecting two flavors with replacement. Using the formula n^r, where n is the number of flavors and r is the number of scoops, there are a total of 28^2 = 784 possible double-scoop cones.

For a triple-scoop cone, the customer can choose three flavors for the three scoops. Again, using the formula n^r, there are a total of 28^3 = 21,952 possible triple-scoop cones.

Therefore, the total number of possible cones is 28 + 784 + 21,952 = 22,764.

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How do you fine arccot(-sqrt(3))?

Answers

[tex]arccot{(- \sqrt{3}) }=arccot(-\cot{ \frac{\pi}{6} )=-arccot{(\cot{ \frac{\pi}{6})}=- \frac{\pi}{6}[/tex]

Answer:The answer is be And i’m Strongly positive about this because i just got it right!

Step-by-step explanation:

simplify

(10)/(5b+4)+(6)/(2b-3)


A.-10b-54/(5b+4)(2b-3)

B. 16/7b+1

C. 16/(5b+4)(2b-3)

D. 50b-6/(5b+4)(2b-3)

Answers

D. 50b-6/(5b+4)(2b-3) 

Select all ratios equivalent to 20:4
4:20, 2:10, 15:3, 1:2

Answers

15:3 is the only equivalent ratio to 20:4.

Final answer:

The only ratio equivalent to 20:4 from the given choices is 15:3 because, when simplified, both ratios reduce to 5:1.

Explanation:

To determine which ratios are equivalent to 20:4, we need to find ratios that can be simplified or scaled to form the same relationship. An equivalent ratio maintains the proportion when both terms are multiplied or divided by the same number.

First, the given ratio of 20:4 can be simplified by dividing both terms by 4, which gives us 5:1. Now, we can compare this to the choices provided:

4:20 is not equivalent because when simplified (divided by 4), it gives 1:5, which is the inverse of 5:1.2:10 simplifies to 1:5 (dividing by 2), also not equivalent for the same reason.15:3 simplifies to 5:1 (dividing both terms by 3), which is equivalent to 20:4.1:2 is already in simplest form and is not equivalent to 5:1 or 20:4.

Therefore, the only ratio equivalent to 20:4 given in the choices is 15:3.

Factor completely and then place the factors in the proper location on the grid.

4y2 + 25y + 6

Answers

Well I can't grid it for you, you didn't get give enough detail, however I can do the factoring.
(4y+1)(y+6)

Answer:

factored form of given equation [tex]4y^2+25y+6[/tex]  is [tex](4y+1)(y+6)[/tex]

Step-by-step explanation:

Given equation [tex]4y^2+25y+6[/tex]

We have to write the given equation in factors form and then represent the factors on grid.

Consider the given equation [tex]4y^2+25y+6[/tex]

25y can be written as 24y + y , we get

[tex]\Rightarrow 4y^2+24y+y+6[/tex]

Taking 4y common from first two term and 1 common from last two term, we get,

[tex]\Rightarrow 4y(y+6)+1(y+6)[/tex]

[tex]\Rightarrow (4y+1)(y+6)[/tex]

Thus, factored form of given equation [tex]4y^2+25y+6[/tex]  is [tex](4y+1)(y+6)[/tex]

On grid it is shown as shown in attachment below.

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