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Liono4ka [1.6K]
2 years ago
5

A newly introduced fitness program is gaining popularity among the members of a fitness club. The number of members, s(1), who j

oined the
program t months after it was introduced is modeled by the function below.
s(t) = 10(2)* + 10
Which graph represents this function?

Mathematics
1 answer:
ahrayia [7]2 years ago
6 0

Answer:

Option A will be the answer.

Step-by-step explanation:

The number of members, s(t), who joined the  program t months after it was introduced is modeled by the function below  

s(t) = 10(2)^{x}  + 10

The function is an exponential function and y-intercept of the function is at (0,20) point.

Now, from the graph given in the options, the first graph matches the criteria.

Hence, option A will be the answer. (Answer)

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The function y = -0.03(x - 14)^2 + 6 models the mump of a red kangaroo where x is the horizontal distance in meters and y is the
Galina-37 [17]
The trick here is to find the vertex for its highest point and find the root that is of the greatest value for the final distance.

The nice thing about this function is that it has been written in what we call vertex form. This means that the maximum (or minimum if the parabola opens upwards) is given to us at the end of the function. In this case it is 6. We know that the graph starts at (0,0) (because the cangaroo jumps starting at no height with no distance so far) and so if the x-value given for the vertex is 14, we know that if we double that value, it will give us the second root. The total distance jumped is 28m.

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3 0
2 years ago
Read 2 more answers
You have a function that takes in an X value and produces a Y value. The Y value equals 24 times the X value, plus 4?More. What'
guapka [62]

Answer:

100

Step-by-step explanation:

The function takes in an X value and produces a Y value.

The Y value equals 24 times the X value plus 4 more.

This means that:

Y = 24X + 4

When the X value equals 4, the Y value will be:

Y = 24(4) + 4

Y = 96 + 4

Y = 100

When the X value is 4, the Y value is 100.

7 1
1 year ago
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Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his
Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = 780 emails

Average work emails received monthly= 760 emails

     

      We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

      After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails

The new number of mails

= initial number of mail- depreciation\\ =780-78= 702 emails

Joe will be receiving an average of 702 emails in his personal account monthly

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2 years ago
Round 4.265 to the nearest hundredth
jekas [21]
4.265 rounded to the nearest hundredth is 4.27
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2 years ago
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son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
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When we do all the calculations we find that:
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Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
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