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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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The sum of a number y and five is equal to seven.<br> Write algebraic expression
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Answer:

The algebraic expression is:

a + 5 = 7

Step-by-step explanation:

The algebraic expression is:

a + 5 = 7

then:

a = 7-5

a = 2

and the number is:

2

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Answer:

Either :

1/2 10x+1/2 20y+1/2 10z

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Step-by-step explanation:

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Find the output value of the function. f(x)=5x-8 for f(7)
Molodets [167]

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27

Step-by-step explanation:

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Read 2 more answers
Can u guys PLEASE ANSWER this question ASAP.
qwelly [4]

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

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- The sum of half of x and 5 is: \frac{1}{2}x+5

So, the equation to write in this problem is

x+12=\frac{1}{2}x+5

We solve it as follows:

1) First, we subtract \frac{1}{2}x from both sides, and we get

x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5

2) Then, we subtract 12 from both sides:

\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7

3) Now we multiply both sides by 2:

\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14

So, this is the solution.

8 0
3 years ago
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