In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has been growing approximately exponentially and was about 37.1 million in July 1998. (a) Find a formula for the number, N, of internet host computers (in millions of computers) as an exponential function of t, the number of years since July 1998, using the continuous exponential model N ( t )

Answers

Answer 1

Answer:

[tex]N(t) = 37.1(1.38)^t[/tex]

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]N(t) = N(0)(1+r)^t[/tex]

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that [tex]N(0) = 37.1[/tex]

So

[tex]N(t) = 37.1(1+r)^t[/tex]

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.

[tex]N(t) = 37.1(1+r)^t[/tex]

[tex]353 = 37.1(1+r)^7[/tex]

[tex](1+r)^7 = \frac{353}{37.1}[/tex]

[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]

[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]

[tex]1 + r = 1.38[/tex]

The formula is:

[tex]N(t) = 37.1(1.38)^t[/tex]


Related Questions

Johnny had 600 red apples and 400 blue oranges, then his friend gave him 20 red bananas. He eats all of the bananas, throws away 200 of the blue oranges because he couldn't finish them all, and he fed 100 of the red oranges to his pet rock. How many pumpkin pies does he have now?

Answer choices:
8,000,000
No, he has 6000 bananas
I think he just ordered some offline
He has 300 red apples

Answers

Answer:

4 im not sure

Step-by-step explanation:

Please Help i give brainies

Answers

Step-by-step explanation:

[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]

What is 5+5? Please help the lol

Answers

Answer:

10

Step-by-step explanation:

5+5=10

your answer is 10

Answer:

10

Step-by-step explanation:

1+1= 2

1+1 = 2

2+2= 4

4 + 1 = 5

5 + 5 = 10

Consider △BTW as pictured below.


Find W.

Answers

Answer:

m<W: 23

Step-by-step explanation:

8x - 9 + 30x - 4 + 13x - 11 = 180

51x - 24 = 180

51x = 204

x = 4

m<W:

8x - 9

8(4) - 9

32 - 9

23

please i will give you brainly -1,8÷9 I need step by step​

Answers

Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.

Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?

Answers

Answer- b

Step-by-step explanation:

its b

write the equation of a line parallel to y=3/2x-4 and has a Y intercept of -3

Answers

Answer:

one sec

Line that is parallel:

Step-by-step explanation:

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected with replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major

Answers

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that [tex]p = 0.53[/tex]

9 of those survey subjects are randomly selected

This means that [tex]n = 9[/tex]

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Please Help Quickly :)

The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?

A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units

I will gve you brainliest if it is the correct awnser and if you help me quickly​

Answers

Answer:

Step-by-step explanation:

2x * 2x = 4x^2 and -11 * 11 = -121

Consider the following polynomial.

2y9−y6+2+7y10
Identify the degree.

Answers

Answer:

degree- 10

Step-by-step explanation:

The degree is the largest exponent on the variable.

6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g

Answers

Answer:

A two-tailed test.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.

A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.

Mike did so well with his bike sale, he's going to Discount his helmets 15% off. If the Sale Price is $23.80, find the ORIGINAL PRICE of a helmet.

Answers

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

What is radiant energy from the sun called

Answers

Answer:

Solar rays

Step-by-step explanation:

Either that or uv rays

Answer:

Electromagnetic Radiation

Step-by-step explanation:

A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.

Answers

Answer:

20 ounces of cashews and 70 ounces of peanuts

Step-by-step explanation:

x+3x+10=90

4x+10=90

4x=80

x=20

Exercise 8.3.4: Selecting coders for 3 different projects. About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project

Answers

Answer:

168 ways

Step-by-step explanation:

Given

[tex]Junior = 7[/tex]

[tex]Senior = 3[/tex]

Required

Number of ways 3 project can be assigned

Starting with the second project.

This can be assigned to only senior coders

So:

[tex]n_1 = 3[/tex]

Then, the third project.

This can be assigned to only junior coders

So:

[tex]n_2 = 7[/tex]

At this point, we are left with 2 senior coders and 6 junior coders

Since the first can be assigned to anybody.

[tex]n_3 =2+ 6[/tex]

[tex]n_3 =8[/tex]

The number of selection is then calculated as:

[tex]n = n_1 * n_2 * n_3[/tex]

[tex]n = 3 * 7 * 8[/tex]

[tex]n = 168[/tex]




4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?

Answers

Answer:

The earlier movie starts at 1610 (4:10 PM)

Step-by-step explanation:

The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.

If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).

Good luck!!

What expression is equal to 5,007.992?

Answers

This is the answerrrrreerrrrre

i dont understand what im doing wrong

Answers

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

a scatter plots allows us to investigate _____ between the ____ ____.

Answers

Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation:hope this helps

Need help on this question

Answers

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

Question 8 I don’t get

Answers

Answer:

Y=4x

Y is total profita

X is how many she sells

An ice cream shop offers 40 different flavors. To simulate the most commonly chosen flavor, you could write the name of each flavor on a piece of paper and put it in a bag. Draw from the bag 100 times, and see which flavor is chosen the most. Why is this simulation a bad way to figure out the most commonly chosen flavor?

Answers

Answer:

is hard to choose the flavor of ice cream 40 offer of ice cream , draw 100 bag time will be 60 different bag of flavor ice cream

X/23 = 21/34 round to hundredths place

Answers

Answer:

The answer is 14.19

Step-by-step explanation:

34 / 23 = 1.48

21 / 1.48 = 14.19

I hope this helps you! :D

Rewrite the number in Standard form
1.37 x 10-7

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 0.000000137

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

answer: 0.000000137
.....

SOMEONE PLEASE HELP!! I NEED TO GET THIS RIGHT

Answers

Answer:

middle

Step-by-step explanation:

Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?​

Answers

Answer:

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

I will send a pic to you​

Answers

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

what are the factors of ×^2+4×+3​

Answers

Answer:

(x+3)(x+1)

Step-by-step explanation:

I'm assuming you need to factorise?

Answer:

(x+1)(x+3)

if u want me to explain how it works let me know

thank you to whoever helps

Answers

(3,1) would be the right answer

A rectangular prism has a length of 3ft, a height of 6ft, and a width of 20ft. What is its
volume, in cubic ft?

Answers

Answer:

360

Step-by-step explanation:

To solve to volume you need to times the width, length, height. so 3 times 6 is 18 and 18 times 20 is 360.

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