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9966 [12]
3 years ago
12

Researchers estimate that there are 0.53 penguin

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

There would be minimum 1 penguin per square meter.

Step-by-step explanation:

Given,

The estimated number of penguin  nests per square meter of poop = 0.53

Also, the minimum number of penguins in each nests = 2,

Hence,

The minimum  penguin population per square meter of poop = nests per square meter × minimum number of penguins in each nest

= 0.53 × 2

= 1.06

≈ 1

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Ksju [112]

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How many people must attend the third show so that the average attendance per show is 3000 write an equation too
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5 0
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Read 2 more answers
Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1
nikklg [1K]
Given

\Sigma_{n=1}^\infty15(-4)^n

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S_1=\Sigma_{n=1}^{1}15(-4)^n=15(-4)=\bold{-60} \\  \\ S_2=\Sigma_{n=1}^{2}15(-4)^n=\Sigma_{n=1}^{1}15(-4)^n+15(-4)^2 \\ =-60+15(16)=-60+240=\bold{180} \\  \\ S_3=\Sigma_{n=1}^{3}15(-4)^n=\Sigma_{n=1}^{2}15(-4)^n+15(-4)^3 \\ =180+15(-64)=180-960=\bold{-780} \\  \\ S_4=\Sigma_{n=1}^{4}15(-4)^n=\Sigma_{n=1}^{3}15(-4)^n+15(-4)^4 \\ =-780+15(256)=-780+3,840=\bold{3,060} \\  \\ S_5=\Sigma_{n=1}^{5}15(-4)^n=\Sigma_{n=1}^{4}15(-4)^n+15(-4)^5 \\ =3,060+15(-1,024)=3,060-15,360=\bold{-12,300}

S_6=\Sigma_{n=1}^{6}15(-4)^n=\Sigma_{n=1}^{5}15(-4)^n+15(-4)^6 \\ =-12,300+15(4,096)=-12,300+61,440=\bold{49,140}

The rest of the partial sums can be obtained in similar way.
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3 years ago
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telo118 [61]

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