Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
![a_n = a_1q^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1q%5E%7Bn-1%7D)
In which
is the first term.
In this problem:
- 64 teams were invited, thus
. - After each round, half the teams are eliminated, thus
.
The <u>number of teams after 3 rounds</u> is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
![a_n = a_1q^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1q%5E%7Bn-1%7D)
![a_4 = 64\left(\frac{1}{2}\right)^{4-1}](https://tex.z-dn.net/?f=a_4%20%3D%2064%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B4-1%7D)
![a_4 = 8](https://tex.z-dn.net/?f=a_4%20%3D%208)
After 3 rounds, 8 teams are left.
A similar problem is given at brainly.com/question/25317689
Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.
Answer with explanation:
Equation of Linear Regression line is
y=1.14 x + 3.805
A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
So, Ordered pair is , (30,38)
Option B
Perimeter = 2l+2w in this case. So 16+12, 28 feet is your answer!