1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxandr [17]
2 years ago
5

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common rati

o is 2/5. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
Mathematics
2 answers:
Shkiper50 [21]2 years ago
6 0

Answer:

50 is the answer.

Step-by-step explanation:

We have, a_{1} =30 and common ratio d=2/5.

So, the general form of the geometric series is a_{n} =a_{1} *d^{n-1}, for 'n' is from 1 to infinity.

Hence, the sum in sigma form = \sum a_{1} *d^{n-1}, where n goes from 1 to infinity.

Now, the infinite sum of geometric series = \frac{a_{1} }{1-d}

i.e. \frac{30}{2/5} = 50

Hence, the sum which will be the upper limit is 50

Alchen [17]2 years ago
3 0
The sum will be: 

sigma(i = 1 to infinity, 30*(2/5)^i) 

->\lim_{i \to \infty}  \frac{30(1-   \frac{2}{5}^{i} )}{ \frac{3}{5} }

Which is equal to 30/(3/5) = 50


You might be interested in
Breakdown -3r+9= -4r+5
spayn [35]

Answer:

r=.57

Step-by-step explanation:

8 0
3 years ago
Find the slope of a line that includes the points (10, 8) and (-5, 8).
Pavlova-9 [17]

Answer:

0

Step-by-step explanation:

First, you have to plug it into the formula to find the slope.

\frac{rise}{run} =\frac{y2-y1}{x2-x1}

\frac{8-8}{-5-10} =\frac{0}{-15}

Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.

4 0
2 years ago
These are statistics that describe the center of a distribution: mean, median, mode. They measure central _____.
maks197457 [2]

Answer:

tendancy

Step-by-step explanation:

7 0
3 years ago
Do the work. What is x?
Masteriza [31]

Answer:

It's X

Step-by-step explanation:

5 0
3 years ago
Please help!!
Kamila [148]

The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The relationship between the trigonometric ratios</h3>

The given parameters are:

  • Scale factor of dilation, k = 2
  • cos(X) = 2.5/5/59

Since the transformation is a dilation, it means that both triangles are similar.

So, we have:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The segments AC and AB. </h3>

In (a), we have:

Both triangles are similar.

This means that the corresponding points are:

X and A

Y and  C

Z and B

So, we have:

AC = 2 * XY

AB  = 2 * XZ

Read more about dilation at:

brainly.com/question/13176891

#SPJ1

4 0
2 years ago
Other questions:
  • A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the
    10·1 answer
  • X5/7•x1/2 show your work​
    9·1 answer
  • Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
    9·2 answers
  • Need help plz help!!!
    11·1 answer
  • Hello guysssssss asap
    8·1 answer
  • This is my warmup can you please help me out with it ​
    7·1 answer
  • The table shows the height of a tree as it grows what equation in slope intercept form gives the trees height at anytime
    5·2 answers
  • Jason's family drinks 1.95 gallons of milk each week. What is the best estimate of the number of gallons they will drink in half
    15·2 answers
  • What is the slope intercept form of an equation of the line with slope -0.5 and and y intercept is the orgin?
    14·1 answer
  • What is 6 * (4x * 39) equal?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!