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Kay [80]
2 years ago
11

This pattern repeats every 5 terms. The pattern is rectangle, pentagon, triangle, square, square. What is the 11th term of this

pattern?
a pattern of shapes, rectangle, pentagon, triangle, square, square

Group of answer choices

Triangle

Square

Pentagon
Mathematics
1 answer:
skad [1K]2 years ago
7 0

The correct answer would be a <u>square</u>

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Is 109 divided by 5 equal 21 R2
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109 has a remainder of 4 when divided by 5 since it's 105+4.

Answer: NO

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Please answer quickly thanks :)))
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Which is the best estimate of each percent? 50 of 600
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The best estimate is 500 hope this helped you :)
5 0
3 years ago
What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??
vivado [14]
Successive terms have a common factor of -\dfrac23, which means the nth partial sum of the series can be written as

S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}
S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}

\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)

\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)
\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)
S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)

As n\to\infty, the geometric term vanishes, leaving you with

S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5
7 0
2 years ago
In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captur
3241004551 [841]

Answer:

539

Step-by-step explanation:

Let the total population of  grizzly bears=x

In the first capture, 97 were tagged.

Therefore, ratio of the total population to the tagged=x:97

A month later, when 200 bears were captured, 36 were tagged.

Ratio of the sample to the tagged=200:36

Since a sample is representative of the population, the ratios are the same. We therefore have:

x:97=200:36

\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539

There are about 539 grizzly bears in the population

7 0
3 years ago
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