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sineoko [7]
3 years ago
15

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

1/6. find the sum of this infinite series tht will be the upper limit of this population.
Mathematics
1 answer:
LiRa [457]3 years ago
7 0
Sum of  infinite series of a GS  is  a1 / (1-r)

so here it is  65 / (1 - 1/6)  =  65 / 5/6  = 65*6 / 5 = 78  answer
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find the value of r so that the line that passes through (5, r) and (2, -3) has a slope of 4/3. a. 1 b. 7 c. (13/9) d. -1
Margaret [11]
Slope  = (-3 - r) / (2 - 5) 

Slope = <span>(-3 - r) / -3 = 4/3

-(-3 - r) = 4

3 + r = 4

r = 4 - 3

r = 1   option b.</span>
4 0
3 years ago
Building a is 160160 feet shorter than building
Serjik [45]
I assume the heights are 160 ft and 1480 ft.

The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.

Now we add our two heights to find the total height.

h + h + 160 is the total height.
We can write it as 2h + 160

We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.

2h + 160 = 1480

Subtract 160 from both sides

2h = 1320

Divide both sides by 2

h = 660

h + 160 = 820

Building A measures 660 ft.
building B measures 820 ft.
7 0
3 years ago
Solve the equation by completing the square
Nana76 [90]

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

4 0
3 years ago
What is the value of x^0​
hoa [83]

Answer:

Its equal to 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help with this thank youu
Arte-miy333 [17]

Answer:

D = 106

e = 54

f = 20

Step-by-step explanation:

its ur answer

6 0
3 years ago
Read 2 more answers
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