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Alik [6]
3 years ago
12

Find the pattern and use it to list the nth term in the sequence. 1, 1/32,1/243,1/1024,1/3125

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0
1;\ \frac{1}{32};\ \frac{1}{243};\ \frac{1}{1024};\ \frac{1}{3125}\\\\1=\frac{1}{1^5}\\\\\frac{1}{32}=\frac{1}{2^5}\\\\\frac{1}{243}=\frac{1}{3^5}\\\\\frac{1}{1024}=\frac{1}{4^5}\\\\\frac{1}{3125}=\frac{1}{5^5}\\\vdots\\\\a_n=\frac{1}{n^5}\ where\ n\in\mathbb{N^+}
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RideAnS [48]

Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
Alison knits 1/10 of scarf in 4/5 of an hour. what fraction of a scarf can alison knit in 1 hour? and how do u solve it?
pav-90 [236]
For this case we can make the following rule of three:
 1/10 scarf ------> 4/5 hour
 x ------------------> 1 hour
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 Rewriting we have:
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 Answer:
 
A fraction of a scarf that alison can knit in 1 hour is:
 
x = 1/8
8 0
3 years ago
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ziro4ka [17]

Answer:

2ab(3b^2+2a+4)

Step-by-step explanation:

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Factor out the common terms

2ab( 3*b^2 +2*a +2*2)

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5 0
3 years ago
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SIZIF [17.4K]

Answer:

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Step-by-step explanation:

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