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Nadya [2.5K]
3 years ago
12

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% p

er year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, f(n) , in years, it will take the number of species to decrease to a value of n?

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

Select the correct answer.

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

The answer is D.

Step-by-step explanation:

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A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

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Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
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Illusion [34]

Answer:

  • p = 3/10

Step-by-step explanation:

<u>Given equation:</u>

  • 20p = 6

<u>Divide both sides by 20:</u>

  • p = 6/20

<u>Simplify:</u>

  • p = 3/10
6 0
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8 0
3 years ago
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White raven [17]
7/6
it’s positive because it’s going up
8 0
3 years ago
8 (1/2x -1/4) &gt; 12-2x
Deffense [45]

Answer:

x > 7/3

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Distribute by 8 first

4x - 2 > 12 - 2x

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3 0
3 years ago
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