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yuradex [85]
3 years ago
15

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which

2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?(A) 400(B) 625(C) 1,250(D) 2,500(E) 10,000
Mathematics
1 answer:
mario62 [17]3 years ago
6 0

2 out of 50 were tagged.

Divide 2 by 50:

2/50 = 0.4 ( This is 4% of the fish were tagged).

Now divide the number of fish caught by the percentage that were tagged:

50 / 0.04 = 1250

The number of fish in the pond is C. 1250

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For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
gayaneshka [121]

Hello!

To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.

Firstly, we need to simplify f(x).

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4 0
2 years ago
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<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u> </u></em><em><u>&</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em></h2>

Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>, </u></em></h3>

(x+1, 10) = (4, 2y)

<u>First</u><u> </u><u>x</u><u> </u><u>coordinate</u><u>, </u>

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=> <em>x = 3 (Ans) (i)</em>

<u>Second</u><u> </u><u>y</u><u> </u><u>coordinate</u><u>, </u>

10 = 2y

=  > y =  \frac{10}{2}

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