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:
brainly.com/question/1530446
The value of x is 81
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
- The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
- The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
- The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
- We need to find the value of x
∵ The figure have 4 sides
∴ The figure is a quadrilateral
∵ The sum of the measures of the interior angles of a
quadrilateral is 360°
- Add the four angles and equate the sum by 360
∴ m∠1 + m∠2 + m∠3 + x = 360
∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral
∴ m∠1 = 40% × 360 = 
× 360 = 144°
∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral
∴ m∠2 = 12.5% × 360 = 
× 360 = 45°
∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral
∴ m∠3 = 25% × 360 = 
× 360 = 90°
- Substitute these values in the equation above
∴ 144 + 45 + 90 + x = 360
- Add the like terms in the left hand side
∴ 279 + x = 360
- Subtract 279 from both sides
∴ x = 81°
The value of x is 81
Learn more:
You can learn more about the polygons in brainly.com/question/6281564
#LearnwithBrainly
Answer:
15 feets
Step-by-step explanation:
From. Trigonometric relation :
Tanθ = opposite / Adjacent
Tan 33.69 = 10 / x
0.6666649 = 10 / x
x = 10 / 0.6666649
= 15 feets
Hence, base of tree to swingset is 15 feets
The term to term rule is to subtract 4
Term 1 = 27
Term 2 = 27 - 4 = 23
Term 3 = 23 - 4 = 19
Term 4 = 19 - 4 = 15
Term 5 = 15 - 4 = 11
Term 6 = 11 - 4 = 9
Term 7 = 9 - 4 = 5
Term 8 = 5 - 4 = 1
Term 9 = 1 - 4 = -3
Term 10 = -3 - 4 = -7
Term 11 = -7 - 4 = -11
The eleventh term = -11
Answer:
The equation of the axis of symmetry for this parabola is x = 0.
Step-by-step explanation:
For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.
Now, the vertex is given as (0,3) which is at x = 0, y = 3.
Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.
