The function that gives the shares received by a post whereby each friend
shares the post a constant multiple of times each day is exponential.
<h3>Responses;</h3>
- Ben's social media post: <u>2 × 3ⁿ</u>
- Carter's social media post: <u>10 × 2ⁿ</u>
<h3>Methods by which the above expressions are obtained:</h3><h3 /><h3>Ben's social media posts;</h3><h3 /><h3>Given:</h3>
The given table of values for Ben's social media post is presented as follows;
![\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7DDay%26Number%20of%20shares%5C%5C0%262%5C%5C1%266%5C%5C2%2618%5Cend%7Barray%7D%5Cright%5D)
<h3>Solution:</h3>
The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of <em>a</em> = 2
The function for the number of shares of Ben's post is, tₙ = a·rⁿ
Which gives;
- Ben's social media post shares on day <u><em>tₙ</em></u><u> = 2·3ⁿ</u>
<h3>Carter's social media posts;</h3><h3 /><h3>Given;</h3>
Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
<h3>Solution;</h3>
The exponential function for number of shares received by Carter is therefore, <u>tₙ = </u><u>10×2ⁿ</u>
- Carter's social media post shares on day <em>n</em>: <u>10 × 2ⁿ</u>
Learn more about exponential functions here:
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$104 total for all purchases together
4/-3. rise of 4 over 3 to the left
Answer:
yes get that one 0.78.10
Step-by-step explanation:
The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1
<h3>What is the degree of freedom for dependent variables?</h3>
In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.
The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1
Learn more about calculating degrees of freedom for dependent variables here:
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