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Strike441 [17]
3 years ago
11

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 1/6. Find the sum of this infinite series that will be the upper limit of this population.
Mathematics
1 answer:
hram777 [196]3 years ago
6 0
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.

The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to

S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:

S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78


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Step-by-step explanation:

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2 years ago
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To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.

Therefore, the median is:

Median=\left(\frac{n+1}{2} \right)^{th} item

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4 0
2 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

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Step-by-step explanation:

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l=\theta r

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r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

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Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
PLzzz help this is due in 20mins. The standard recipe for Hershey's chocolate is 3 cups cocoa and 2 cups milk. If Hershey's deci
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Answer: 60 cups of cocoa and 40 cups of milk I believe

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7 0
3 years ago
Read 2 more answers
QUICKK
VLD [36.1K]
3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps
7 0
3 years ago
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