Evaluate the limit 12n^3 - 2n^2 + 9 / 4n^3

Evaluate The Limit 12n^3 - 2n^2 + 9 / 4n^3

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3

Divide the expression by the highest power of n to have

limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³

= limit n -  > ∞12 - 2/n + 9/n³ / 4

Substitute the value of n

= 12 - 2/∞ + 9/∞³ / 4

Since a/∞ = 0

The expression becomes;

= 12 - 0+ 0/4

= 12/4

= 3

Hence the required limit is 3


Related Questions

I need help answering this question please help

Answers

40

Or at least that what my calculator says.

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

0–4
1–5
00–75
01–75

Answers

Answer: The answer is 01 - 75.

Step-by-step Explanation: 0 - 4 and 1 - 5 aren't enough. 00 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

1-75 is the  range needed to label the students correctly.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 1-75 is the  range needed to label the students correctly.

To learn more on Statistics click:

brainly.com/question/29342780

#SPJ2

can someone pls help i dont get any help here anymore
yly 115°x X y = [? ]​

Answers

Answer:

x = 65°

y = 25°

Step-by-step explanation:

x = 180-115 which equals 65°

y = 180-(90+65) which equals 25°

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis​ test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d​3.125, ​2.911, and n​8, and that you wish to test the hypothesis below at the​ 10% level of significance. What decision rule would you​ use? ​: 0 against ​: 0

Answers

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

A customer buys 40 meters of cable. How many centimeters of cable did the customer buy ? (1 meter = 100 centimeters

Answers

Answer:4000

Step-by-step explanation:40 times 100 is 4000

40*100=4000centimeter

What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88

Answers

D IS THE CORRECT ANSWER

please help!
writing in terms of i ​

Answers

Given:

The term is [tex]\sqrt{-80}[/tex].

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

[tex]\sqrt{-80}[/tex]

It can be written as:

[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]

[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]

[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex]         [tex][\because \sqrt{-1}=i][/tex]

On further simplification, we get

[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\sqrt{5}i[/tex]

Therefore, the required term is [tex]4\sqrt{5}i[/tex].

Find the surface area of the following figures.

with solution please. T-T​

Answers

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Please help, photo is attached. Thanks!

Answers

I believe the answer is B! good luck.

please help me!!!!!! ​

Answers

Answer:

3/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan G = HF/ HG

tan G = 6/10

tan G = 3/5

Which two discontinuities does the graph show?
O jump discontinuity at x = -2; mixed discontinuity at x
O jump discontinuity at x = -2; infinite discontinuity at x
endpoint discontinuity at x = -2; mixed discontinuity
at x = 0
O endpoint discontinuity at x = -2; infinite discontinuity
at x = 0


Answers

Answer: D

Step-by-step explanation:

only answer that makes sense. one at -2 is definitely an endpoint, one at 0 is infinite because you can’t see ends aren’t indicated.

The triangle shown below has an area of 20 units squared. Find the missing side if the height is 8

Answers

Answer:

5 units

Step-by-step explanation:

Lets keep the missing side as x

And we also know that the area of Triangle is,

[tex] \frac{1}{2} bh[/tex]

So taking this into consideration we can write a linear equation like this,

[tex] \frac{1}{2} bh = 20[/tex]

Where height is 8,

[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]

So therefore the missing side is 5

5 because the formula for a triangle is (l w) divide by two and you get the area so when you do the formula backwards you get 5

100 POINTS!!!!!! HELP
Question 23
Max and Jay are among 12 contestants in the school spelling bee. If the top two finishers win prizes, what is the probability both Max and Jay will be the two prize winners?
A
1766
B
136
C
166
D
1132

Answers

A - 1766! I hope this helps

what is the distance between the first integer that is less than square root 40 amd the first integer that is greater than square root of 125?​

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]

Can somebody help me please

Answers

Answer:

A. 34/40

Step-by-step explanation:

somebody hel this kid!!

The number of red tiles in a sack is 5 more than 3 times the number of green tiles in the sack. The
sack contains 35 red tiles, How many green tiles does the sack contain?
Pls help I need this pls help have a good day

A.12
B.10
C.9
D.not here

Answers

Answer:

B. 10

Step-by-step explanation:

10 x 3 = 30+5 = 35

Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let
E represent the amount of money Emily earns daily. The mean difference, D = T-E, of the amount of money that
Tonya and Emily earn on a typical day is $312. What is the correct interpretation of this value?
O On average, Tonya earns $312 daily.
O Emily is earning $312 per customer, on average.
O Tonya and Emily are each earning $312 on a typical customer.
On average, Tonya makes $312 more than Emily on a typical day.

Answers

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

D; on average, tonya makes $312 more than emily on a typical day. let me know if you want an explanation.

Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?

Answers

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4

• metal, metal, metal, plastic, plastic, metal, plastic, plastic, plastic, plastic
.
a. Estimate the proportion of all students that prefer to use a metal pen. Make your thinking visible.

Answers

Answer:

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

Step-by-step explanation:

The estimate of the proportion is the sample proportion.

In the sample:

10 students

4 use a metal pen. So

[tex]p = \frac{4}{10} = 0.4[/tex]

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

I need help find the volume of the composite solid use 3.14 for pi

Answers

Answer:

[tex]222.312\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:

Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]

Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]

Thus, the total volume of the solid is:

[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]

Classify the number as natural, whole, integer, rational, and/or irrational. Select all terms that are correct. Natural Whole Integer Rational Irrational V7 ​

Answers

Answer:

irrational is the only correct term because it's not a perfect Square

Find the measure of Arc AD.

Pls help me

Answers

Answer:

arc AD = 138°

Step-by-step explanation:

Recall: if two inscribed angles are subtended by the same arc, the two angles are congruent or equal to each other based on the inscribed angle theorem.

<ABD and <ACD are two inscribed angles subtended by the same arc, therefore, they are equal.

Thus:

7x + 20 = 55 + 2x

Solve for x. Collect like terms

7x - 2x = 55 - 20

5x = 35

Divide both sides by 5

x = 35/5

x = 7

✔️m<ACD = ½(arc AD) (Inscribed angle theorems)

Substitute

55 + 2x = ½(arc AD)

Plug in the value of x

55 + 2(7) = ½(arc AD)

55 + 14 = ½(Arc AD)

69 = ½(Arc AD)

Multiply both sides by 2

2*69 = Arc AD

138° = arc AD

arc AD = 138°

Assume you start a walk at point (0, 0), facing east. You turn left and them move forward 10 steps. Next, you turn right and move forward for 8 steps. Next, you turn right and take 5 steps. Finally, you turn left and walk forward for 12 steps. At the end of your walk, what is the x value of your position, (x, y)

Answers

Answer:

x = -5

Step-by-step explanation:

The ( x , y ) values = ( -5 , 20 )

attached below is the schematic representation of the solution

following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5

Can someone help! This is due right now and I'm a little confused! Thank you!

Answers

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

What does the digit 7 represent in 701, 280?
O Seven hundred
O Seventy thousand
Seven hundred thousand
Seven thousand

Answers

Answer: seven hundred thousand

Answer:

The 7 represents the 10,000

Step-by-step explanation:

Its not the hundred because the 2 in 280 is

the perimeter of a rectangular garage is 18 meters. The garage is 4 meters wide how long is it​

Answers

Answer: 5 meters long

Step-by-step explanation:

18 - 2 (4) = 10

10/2 = 5 meters

Keisha, Boris, and Jose sent a total of 126 text messages over their cell phones during the weekend. Boris sent 4 times as many messages as Jose. Jose sent 6 fewer messages than Keisha. How many messages did they each send?

Answers

Answer:

Boris=504 keisha=120

Step-by-step explanation:

First you would start off by Multiplying 4x126 the result of that is= 504 so thats how much Boris sent. To get the answer to how many jose sent you simply just subtract 6-126 and that should result in 120

NEED HELP ASAP!!!! MATH SUCKS :')​

Answers

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

Which equation applies the associative property of multiplication?

​A) 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6) ​
B) ​(−4/11−2/3)−3/4=−4/11−(2/3−3/4)​
​C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5) ​
​D) 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)

Answers

Answer:

C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)

Multiply 4/5 by 10 ​, and then multiply that product by 17 .

Answers

Answer:

your answer is 406.

Step-by-step explanation:

4/5 x 10 will equal to 8. 8 times 17 equals 406.

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