show that f(x)=x^3 and g(x)=200x^3 grow at the same rate

Answers

Answer 1

Answer:

Following are the response to these question:

Step-by-step explanation:

[tex]\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\[/tex]

[tex]\to \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)[/tex]  grows at the same rate.


Related Questions

12 inches to 36 inches percentage of change

Answers

Answer:

Step-by-step explanation:

200 percent

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?

Answers

Answer:

[tex]C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (-5,-1)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D = (2,3)[/tex]

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_1)[/tex]

[tex]D = (x_2,y_2)[/tex]

By comparing the general coordinates with the given coordinates, we have:

[tex]x_1 = -5[/tex] --- see A and B

[tex]y_1 = -1[/tex] --- see A and C

[tex]x_2 = 2[/tex] ---- see C and D

[tex]y_2 = 3[/tex] --- see B and D

So, we have:

[tex]C = (x_2,y_1)[/tex]

[tex]C = (2,-1)[/tex]

A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places

Answers

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a [tex]Pr = \frac{2}{110}[/tex]

b [tex]Pr = \frac{72}{110}[/tex]

Step-by-step explanation:

Given

[tex]n = 11[/tex] --- hammers

[tex]r = 2[/tex] --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

[tex]Pr = P(D) * P(D)[/tex]

[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]

[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]

[tex]Pr = \frac{2}{110}[/tex]

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

[tex]P(D') = \frac{9}{11}[/tex]

For two selections, the probability that all are not defective is:

[tex]Pr = P(D') * P(D')[/tex]

[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]

[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]

[tex]Pr = \frac{72}{110}[/tex]

1. Serena walked 12 miles in 5 hours. Which expression can be used to find the distance
she walked in 1 hour if she walked at a constant rate?

Answers

Answer:

yes

Step-by-step explanation:

What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8

Answers

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

viola!

hope this helped!

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

hope this helped!

Need help on iready you get 13 points :)

Answers

4 times 10
Which is 40
4 times 2 is 8 8 time 5 is 40

Answer:

4 x 10

Step-by-step explanation:

4 x 2 x 5

4 x 2 = 8

8 x 5 = 40

4 x 10 = 40

I need help with this please:

Answers

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

Answer:

C

Step-by-step explanation:

Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating

Pls someone help me with this question pls

Answers

Answer:

C. The number is a perfect square because (17) × (17) = 289

(04.04) Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 7 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?​

Answers

Answer:

(2,3)

4th option

7 units up from point R

Answer:

2.3

Step-by-step explanation:

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3

Answers

Answer:

Rounded to the nearest hundredth, the volume of the cylinder is 603.19.

Step-by-step explanation:

There really isn't an explanation to this, so my apologies if you need one.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

9514 1404 393

Answer:

192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic units

Step-by-step explanation:

The volume of a cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units

When the height is doubled, the volume is doubled:

  V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units

A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?


There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A

There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B

There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C

There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D

Students at the local university select majors in the same proportions as do students in the rest of the state.

Answers

Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

Step-by-step explanation:

6. Write 12/5 as a percent 100% 120% O140% О111%​

Answers

Answer:

140%

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13. What is the measure of ZQPU?
T
P
70°
S
R

Answers

the correct answer is s

Which Angle measurements create a Triangle?

A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80

Answers

I think the answer is C

ASAP PLEASE!
Anthony owns a home with a value of $140,000. He also owns a motorcycle worth $7,000. He has $22,500 in student loans to repay. He owes 9 monthly payments of $55 each for his keyboard. He has a credit card balance of $785. He also has $3,400 in a bank account. What is Anthony's net worth?

Answers

Answer:

173,740

Step-by-step explanation:

no need explanation

9,000 since 3400+785=55

-5.225 as a mixed number.

Answers

Answer:

-5 9/40

Step-by-step explanation:

Inscribed Angles B
Find each measure.
K
X=
6x
M
L

Answers

Answer:

x = 15

z = 25

Step-by-step explanation:

In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.

[tex] \therefore m\angle MLK =90\degree [/tex]

[tex] \therefore 6x\degree =90\degree [/tex]

[tex] \therefore 6x =90[/tex]

[tex] \therefore x =\frac{90}{6}[/tex]

[tex] \therefore x =15[/tex]

In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.

[tex] \therefore m\angle PRQ =90\degree [/tex]

[tex] \therefore (4z-10)\degree =90\degree [/tex]

[tex] \therefore 4z-10 =90[/tex]

[tex] \therefore 4z =100[/tex]

[tex] \therefore z =\frac{100}{4}[/tex]

[tex] \therefore z =25[/tex]

Mark invests his college fund
into an account earning 6%
simple interest. After 9 years,
Mark's college fund is has
earned $2,268. How much did
Mark initially invest?

A. 4,200
B. 3,800

HELP!!

Answers

The answer is B. 3800 that the answer

. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!

Answers

Step-by-step explanation:

the last one is the answer

Graph the line X=-4
I need answers

Answers

Answer:

a line going straight up and down at x = -4

Step-by-step explanation:

Answer:

x = -4 describes a perfectly vertical line that crosses through the point (-4, x), where x is any real number.  So to draw it, simply measure the point (-4, 0), and draw a vertical line that crosses through it.

Find the area of EFGH

Answers

Answer:

42

Step-by-step explanation:

(8+13)*4/2 = 42

Answer:

42 in

Step-by-step explanation:

The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?

Answers

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Ryan needs 20 feet of cable. The longest piece on her truck is 18 3/8 feet. How many feet too short is the cable on the truck? *

Answers

Answer:

1 5/8 too short

Step-by-step explanation:

The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is

1 5/8 too short

Which statement describes the phospholipid bilayer that makes up a cell membrane?

A) The hydrophobic heads point into and out of the cell, while the hydrophilic tails form a layer between the heads.

B)The hydrophobic tails point into and out of the cell, while the hydrophilic heads form a layer between the tails.

C)The hydrophilic heads point into and out of the cell, while the hydrophobic tails form a layer between the heads.

D)The hydrophilic tails point into and out of the cell, while the hydrophobic heads form a layer between the tails.

Fast plz.

Answers

Answer:

Option D

Step-by-step explanation:

The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads

Hence, option D is correct

Answer:

d

Step-by-step explanation:

edge 2021

Find the surface area of a cube with side base length 10m.

Answers

Answer:

600 m²

Step-by-step explanation:

because the formula for surface area of a cube is 6a² in which a is the side length. so 10² is 100 multiplied by 6 which is 600

Plz help me well mark brainliest if you are correct!

Answers

Answer:

The line segment RU

Step-by-step explanation:

The radius of a circle is defined as the distance from the center to the edge. Since answer D represents that definition, it is a radius.

Answer: D

Step-by-step explanation:

The radius of a circle is the half the line in the middle so the only ones that form half a line across the middle is line segment RU

Hope this helped! :)

A garden is in the shape of a rectangle. What is the perimeter of the garden? PLS HELP​

Answers

Answer:

it is 7+7+3+3=20

Step-by-step explanation:

Is is 20 u add up all the sides 7+7+3+3=20 or 7+7=14 3+3=6 14+6 =20 so it’s 20

The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
What is the elevation of the tunnel relative to the ground?

Answers

Answer:

-15 meters.

Step-by-step explanation:

i did it on khan

Drag the similar figure into the table.

Answers

ANSWER:

Drag the purple box to the similar figure

WHY:

The blue box has sides 2x5 and the purple is 4x10 which means they are similar the blue is multiplied by 2

Which of the following is not a characteristic of the t​ test? Choose the correct answer below. A. The Student t distribution has the same general bell shape as the standard normal distribution. B. The Student t distribution has a mean of t=0 and a standard deviation of s=1. C. The t test is robust against a departure from normality. D. The Student t distribution is different for different sample sizes.

Answers

Answer:

B. The student distribution has a mean of t=0 and a standard deviation of s=1

The Student t distribution has a mean of t = 0 and a standard deviation of s=1.

Here, we have to find which is not a characteristic of the t test.

What is t test?

A t - test is a statistical test that is used to compare the means of two groups.

Now,

Here all given option is the characteristics of t - test and only the option B is not fulfill the condition of t- test.

Hence, Option B is true.

Learn more about the t- test visit:

https://brainly.in/question/4174238

#SPJ6

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