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iragen [17]
4 years ago
12

The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio i

s one sixth. Find the sum of this infinite series that will be the upper limit of this population.
Mathematics
2 answers:
77julia77 [94]4 years ago
8 0

Answer:

78

Step-by-step explanation:

answer is a.) 78

timurjin [86]4 years ago
6 0
\bf \textit{sum of an infinite geometric serie}\\\\
S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies \cfrac{a_1}{1-r}\qquad 
\begin{cases}
a_1=65\\
r=\frac{1}{6}
\end{cases}\implies \cfrac{65}{1-\frac{1}{6}}
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What is the value of x?
saveliy_v [14]
Equilateral triangle<span> is a </span>triangle<span> in which all three sides are equal 
</span>also 3 angles are equal and each angle = 60 degrees
so

2x - 4 = 60
2x = 64
  x = 32

hope it helps
3 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
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Alla [95]

Answer:

2.675

Step-by-step explanation:

The more decimal points there are, the more precise it gets.

2 = 2

2.5 = 2.5

2.675 = 2.675

2 3/4 = 2.75

Since 2.675 has three decimal places, it is the most precise.

3 0
3 years ago
Read 2 more answers
6. Your savings account has a
nlexa [21]

Answer:

A. 784

Step-by-step explanation:

915 - 75 = 840  840 - 36 = 804   804 - 20 = 784

5 0
3 years ago
Solve z<br> Z/ 12 = 4/5<br><br> Z=.
stira [4]

Answer:

Z = 9.6

Step-by-step explanation:

Multiply each side by 12.

Z = 9.6

5 0
3 years ago
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