below is the spreadsheet model we looked at in this module for measuring exponential growth of an epidemic. predict the number of users of a new social network at a future date assuming similar exponential growth. how many users of the new service would we expect to have in seven and a half months?

Answers

Answer 1

The formula used is \($N(t) = N_0 e^{rt}$\). If a new social network has 1000 users currently and at growth rate of 10% per month, it can be predicted that there will be approximately 2452 users in seven and a half months assuming similar exponential growth.

In the formula used in the spreadsheet model for measuring exponential growth i.e. \($N(t) = N_0 e^{rt}$\)

N(t) is the number of cases at time t

N₀ is the initial number of cases

e is the mathematical constant approximately equal to 2.71828

r is the growth rate (expressed as a decimal)

To adapt this formula to predict the number of users of a new social network, we can replace the variables with the appropriate values. For example, if the new social network has 1000 users currently and is growing at a rate of 10% per month, we can write:

N(t) = 1000 x \(e^{rt}$\)

To find the predicted number of users in seven and a half months, we can substitute t = 7.5 into the equation and solve for N(7.5):

N(7.5) = 1000 x \(e^{rt}$\)

N(7.5) ≈ 2452.22

Therefore, we would expect to have approximately 2452 users on the new social network in seven and a half months if it continues to experience similar exponential growth.

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The complete question is :

What is the formula used in the spreadsheet model discussed in this module for measuring exponential growth of an epidemic, and how can it be adapted to predict the number of users of a new social network at a future date assuming similar exponential growth? In particular, if the new social network has 1000 users currently and is growing at a rate of 10% per month, how many users would we expect to have in seven and a half months?


Related Questions

Solve for c.
a (c + b) = d

Answers

Answer:

c = d/a - b

Step-by-step explanation:

a (c + b) = d

c + b = d/a

c = d/a - b

hope this helps

Solve the proportion.

x/12 = 3/8

Response:

x = _____

Answers

Answer:

Step-by-step explanation:

x / 12 = 3 / 8

x = 3 / 8 x 12

x = 3 / 94

x = 32

32 / 12 = 3 / 8

Need help with this please

Need help with this please

Answers

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

A manufacturing company finds that the daily cost associated with making tennis balls is
high if they don't make enough balls and then becomes high again if they make too many
balls. The function graphed models the daily costs of making x tennis balls.

A manufacturing company finds that the daily cost associated with making tennis balls ishigh if they

Answers

Answer:

12 ,14 both are in the same line In same way but.one of the.line is ano

The function graph denotes the fact that the daily cost associated with making tennis balls is high if they don't make enough balls and then becomes high again if they make too many balls.

We have,

From the graph of the function.

The x-axis denotes the number of tennis balls manufactured.

The y-axis denotes the daily cost of manufacturing the tennis balls.

Now,

From the graph,

The coordinates can be as follows:

(1, 12) to (7, 4)

This shows that the cost decreased as the number of tennis balls manufactured increased.

And,

The coordinates from (7, 4) to (13, 12).

This shows that the cost increases as the number of tennis balls manufactured increases.

Thus,

The function graph denotes the fact that the daily cost associated with making tennis balls is high if they don't make enough balls and then becomes high again if they make too many balls.

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PLEASE HELP
Brenna can install 225 patio stones in 3 hours. If installing each patio stone takes the same amount of time, how long will it take her to install 525 patio stone?

Answers

Answer: Brenna will install 525 patio stones in 7 hours

Step-by-step explanation:

If it takes 3 hours to install 225 stones then

225/3=75

this means she installs 75 stones per hour. So,

525/75=7

So Brenna will install 525 patio stones in 7 hours.

What is the moft spesific name for the shape?

What is the moft spesific name for the shape?

Answers

Answer: D

Step-by-step explanation: the lines are Parallel

Kathryn runs from the north west corner to the southeast corner of a rugby field and Mia runs from the northeast corner to the southwest corner. Mia says she ran farther

Answers

Mia is incorrect, as they both ran the same distance, which is the hypotenuse of a right triangle of dimensions 10m and 16m.

What is the Pythagorean Theorem?

The Pythagorean Theorem is a geometry axiom which states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the lengths of the sides squared.

The sides are between the angle of 90º, while the hypotenuse is the segment that connects the sides.

From the image given at the end of the answer, the distances ran from each of them are equal, which is the hypotenuse of a right triangle of dimensions 10 m and 16 m, thus the distance is obtained as follows:

d² = 10² + 16²

d = square root of (10² + 16²)

d = 18.87m.

Missing Information

The problem is given by the image shown at the end of the answer.

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Kathryn runs from the north west corner to the southeast corner of a rugby field and Mia runs from the

what is 238 rouned to the nearst houndred​

Answers

200 because:
250 or higher is 300
249 or lower is 200

Answer:

200

Step-by-step explanation:

What is the mistake PLEASE HELP
3-(-2) -5
1 - 5
-4

Answers

Answer:

your answer would be 0

Step-by-step explanation:

3-(-2)-5

3+2-5

5-5

0

Evaluate 3x−4 when x=7.

Answers

Answer:

It is 17

Step-by-step explanation:

Simplify the expression.

Answer:

17

Step-by-step explanation:

3(7)-4=17

The annual rainfall in Albany i. 33 inch le than the annual rainfall in Nahville How much le did Nahville get than Miami

Answers

Nashville gets 13.8 units of rainfall less than Miami.

We have to give that,

The annual rainfall in Albany is 0.33 inches less than the annual rainfall in Nashville.

Here, Miami's rainfall is 61.05 inches

Albany's rainfall is 46.92 inches.

Let the rainfall in Nashville be x units.

So, rainfall in Albany is,

x - 0.33

Now Albany gets 46.92 units of rainfall.

So, Nashville gets,

46.92 = x - 0.33

x = 46.92 + 0.33

x = 47.25 units

And Miami gets 61.05 units of rainfall.

So, Nashville gets,

61.05 - 47.25

= 13.8 units

Hence, Nashville gets 13.8 units of rainfall less than Miami.

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Which term is not a like term?
A.3x
B.4y
C.7x
D.x

Answers

Answer: B) 4y

Step by step explanation

If y = 4 find slope, X-intercept and y-intercept.​

Answers

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

are utilized to make inferences about certain population parameters; a. samplesb. equationsc. statisticsd. metrics

Answers

The term utilized to make inferences about certain population parameters is a) samples.

In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.

Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.

Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.

In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.

Therefore, the correct answer is a) samples.

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15th term is 48, 40th term is 223. determine a, d, and the general formula

Answers

Answer:

\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)

\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)

Help plz.



3:5=____%

Answers

Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

PLEASE HELP ME WITH THIS

Select the correct answer.

Function h is nonlinear, and h(4) = 2. Which equation could represent function h ?

PLEASE HELP ME WITH THIS Select the correct answer. Function h is nonlinear, and h(4) = 2. Which equation

Answers

Answer:

C

Step-by-step explanation:

H(4) simply means that where there is X, it must be substituted by the value 4

So lets see step by step:

A. h(4)=2 (incorrect)(there is no X to substitute on the right side and it is stated that H is non linear. This 2 would mean that H is a straight line)

B. (4)^3 -4= 60 (incorrect as answer needs to be 2)

C. 2^4 - 14=2 (correct, as answer is 2 and equation is non linear)

D. 1/2 (4) +3 = 5 (incorrect)

Hence your answer is C

What is the meaning of SSS similarity theorem?

Answers

The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.

What is the similarity theorem of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).

SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.

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let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta

Answers

Answer:

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

10. for which type of risk do you get rewarded with a higher expected return? a. systematic risk b. firm-specific risk c. diversifiable risk d. idiosyncratic risk

Answers

Systematic risk is the type of risk for which you can be rewarded with a higher expected return.

So, the correct answer is A

Systematic risk, also known as market risk or non-diversifiable risk, affects the entire market and cannot be eliminated through diversification.

Investors are compensated for taking on systematic risk through higher expected returns as they bear the fluctuations and uncertainties associated with the overall market.

In contrast, firm-specific, diversifiable, and idiosyncratic risks are specific to individual companies or industries and can be mitigated through diversification in an investment portfolio, so investors don't get rewarded with higher expected returns for these types of risks

Hence, the answer of the question is A.

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what is the slope of the line on this graph

what is the slope of the line on this graph

Answers

Answer:

-1/3 is the slope for this graph

Step-by-step explanation:

-2/6

What is the horizontal asymptote of the function f (x) = StartFraction (x minus 2) Over (x minus 3) squared EndFraction?
y = 0
y = 1
y = 2
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

Here, we want to get the horizontal asymptote

To get this, we have to equate the denominator to 0 and solve for x

Mathematically, we have this as;

x-3 = 0

x = 3

so the horizontal asymptote will be y = 3

Answer:

Its A) y=0

Step-by-step explanation:

David and Amy start at the same point and begin biking in different directions. David is biking west at a speed of 17 miles per hour. Amy is biking south at a speed of 15 miles per hour. After how many hours will they be exactly 23 miles apart

Answers

After about 1.5 hours, David and Amy will be exactly 23 miles apart.

When we're talking about two people or objects moving in different directions, we should use the Pythagorean Theorem to solve problems like this.

When we apply the theorem to this problem,

we get the following equation:

a² + b² = c²

where,

a = 17t,

b = 15t and

c = 23

We can substitute these values into the equation and solve for t:

a² + b² = c²(17t)² + (15t)²

= 23²t² 289t² + 225t²

= 529t² 514t²

= 529t² - 514t²

t² = 23² / (529 - 514)

t² = 23 / 15t = √(23 / 15)

t ≈ 1.5

Therefore, after about 1.5 hours, David and Amy will be exactly 23 miles apart.

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Click and drag like terms onto each other to simplify fully.
-1+4-67-5

Answers

Answer:

Step-by-step explanation:

Here are your steps

Step 1

-1+4-67-5  Simplify by Adding

-64-5

Step 2

-64-5  Subtract

Your answer would be -69

Please help..... ASAP lots of points (just two questions)

Please help..... ASAP lots of points (just two questions)
Please help..... ASAP lots of points (just two questions)

Answers

Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

I will mark Brainliest and I WILL REPORT LINKS!!!
Find any points of discontinuity for the rational function below. Describe any vertical or horizontal asymptotes and any holes.
y=(x-1)/(x+2)(x-1)
Please show any steps and formulas used. An explanation would be appreciated. I do not even know what asymptotes are!

Answers

Answer:

For

 y = (x^2 -4)/((x +2)(x^2 -49))

the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving

 y = (x -2)/(x^2 -49)

There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.

The horizontal asymptote is y=0.

Step-by-step explanation:

Answer:

Imma be honest here. I'm just answering so the other person can get brainliest

Step-by-step explanation:

Kevin needs 2/3 cups of sugar to make his favourite brownie recipe. How many cups of sugar does he need to make six batches of brownies for a bake sale? 

NO LINKS ALLOWED OR YOU’LL BE REPORTED!

Answers

I think the answer is 4

choose the statements that correctly reflect traditional usage of significance level in statistical research. select all that apply. multiple select question. quality control uses a 1% significance level. scientific research uses a significance level of 10%. political polling uses a significance level of 1%. consumer research uses a 5% significance.

Answers

The statement that correctly reflects the traditional usage of significance level in statistical research is quality control and political polling uses a 1% significance level, while consumer research uses a 5% significance.

Significant level in statistical research

In statistical research, the significance level is a threshold that is used to determine whether the results of a study are statistically significant. It represents the probability of rejecting the null hypothesis when it is actually true.

The significance level is typically set before conducting a study, and its value depends on the specific application and context of the research.

The most commonly used significance levels in different fields of research can vary, depending on the goals of the study and the consequences of making Type I and Type II errors.

Quality control may require a very low probability of rejecting a good product, so a very small significance level may be appropriate. Political polling may require a high level of confidence in the results, so a low significance level may be used.In consumer research, a moderate level of significance may be acceptable, as long as the results are reliable and generalizable to the target population.

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The monthly rent charged for a store at Center Street Mall is $ 2 per square foot of floor area. The floor plan of a store at Center Street Mall is shown in the figure below, with right angles as indicated and all distances given in feet. How much monthly rent is charged for this store?
$1,656
$1,872
$6,624
$7,380
$7,488

The monthly rent charged for a store at Center Street Mall is $ 2 per square foot of floor area. The

Answers

it’s $6,624 ik why but it is

Solve the equation below.

1.2m+0.65=5

Answers

Answer:

m = 3.625

Step-by-step explanation:

1.2m + 0.65 = 5

~Subtract 0.65 to both sides

1.2m = 4.35

~Divide 1.2 to both sides

m = 3.625

Best of Luck!

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