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sveticcg [70]
4 years ago
6

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 48 and the common rati

o is one fourth. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
Mathematics
2 answers:
Aleks [24]4 years ago
7 0

Answer:

The sigma notation would look like this:

∞

Σ       48(1/4)^i-1

i = 1

Step-by-step explanation:

I can't seem to find a good way to make it more connected so I'll just have to tell you. The ∞ is above the ∑, while the i = 1 is under it. That is all one thing. The rest is followed as normal, and it is all next to the ∑

nalin [4]4 years ago
5 0

Answer:  

The sum of the given geometric series and its sigma notation is given below :

Step-by-step explanation:

First term, a = 48

\text{Common ratio, r = }\frac{1}{4}

The series is given to be geometric series and the sum of geometric series is given by :

S_n=\frac{a}{1-r}\\\\\implies S_n=\frac{48}{1-\frac{1}{4}}\\\\\implies S_n = 64

And for sigma notation,

Sum = \sum_{i=1}^{\infty}a\cdot(r)^i-1\\\\\implies Sum = \sum_{i=1}^{\infty} 48\cdot(\frac{1}{4})^{i-1}

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alekssr [168]

Answer: 100 pounds

Step-by-step explanation:

60-25=35

35/0.35=100

8 0
3 years ago
The price of a flash drive that regularly sells for $16 is increased by 15%. Write two different expressions to find the new pri
fgiga [73]

Answer:

16 × .15 and 16 × 15/100

Step-by-step explanation:

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5 0
3 years ago
Tv emporium had a huge sale in the morning 5/12 of the flat screen televisions were sold in the afternoon one-third of the flat
lara [203]

Answer:

Total number of flat screen sold is 3/4

Step-by-step explanation:

Let the total number of the flat screen sold be y

y = number of flat screen sold in the morning + number of the flat screen sold in the afternoon.

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Y = 5/12 + 1/3

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3 0
3 years ago
Read 2 more answers
The distance traveled varies directly with the time spent in motion when speed is held constant. If d represents the distance tr
GrogVix [38]
We have a direct variation. Distance, D, varies directly as time, t.  
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5 0
3 years ago
What is the vertex of this equation Y-7=-1/16(x-10)^2
VLD [36.1K]
The formula for a vertex form equation is
y = a(x - h) + k
in which (h,k) represents the vertex

Your equation is in vertex form, if you mpve the -7 to the other side you will get
y =  -  \frac{1}{16} (x - 10) ^{2}  + 7
because you have to add 7 to both sides

based on the equation,
h=10
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(h,k)=(10,7)

your vertex is (10,7)
4 0
3 years ago
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