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In-s [12.5K]
3 years ago
6

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common rati

o is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
Mathematics
2 answers:
Scilla [17]3 years ago
8 0


Since this is the formula for the infinite geometric series with
a1 = 42
r = 3/4

Solution will be

sum = 42 / 1-3/4
sum = 42 / 0.25
sum = 168

Therefore, the total is 168






JulsSmile [24]3 years ago
4 0

Answer: the answer is D


Step-by-step explanation: We can immediately eliminate options A and B because they aren’t even formatted properly. The common ratio(3/4) ALWAYS comes after a_1 which in this case was 42. That leaves us with C and D. Now, for series to be divergent, the common ratio(number in parentheses) HAS to be GREATER than one. Since this equation has 3/4 or .75 in the parentheses it is NOT divergent. That leaves us with answer choice D, and the answer is 168. My friend above explains how to get to that answer. Thanks and please rate.


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What is the sum of an infinite geometric series if the first term is 81 and the common ratio is 2⁄3?
Marrrta [24]

C

the sum to infinity of a geometric series  = \frac{a}{1-r}

where a is the first term and r the common ratio

= \frac{81}{\frac{1}{3} } = 81 × 3 = 243



4 0
3 years ago
Find x if AB = 9, BC = 2x - 5,<br> and AC = x + 9
Oxana [17]

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

5 0
3 years ago
Read 2 more answers
. Solve for x.<br> x – 2 = 30
nadya68 [22]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
A green cross is formed by placing two rectangles of dimensions 8cm×4cm over
Goshia [24]

Answer:

<em>The perimeter of the green cross is 32 cm</em>

Step-by-step explanation:

<u>Perimeter</u>

It's the sum of all the external side lengths of a given shape.

The green cross formed by two rectangles is shown in the figure below.

We have outlined the dimensions of the external sides of the resulting cross.

Note there are four corners of 2 cm by 2 cm and four sides of 4 cm each.

The total perimeter is:

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