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Vilka [71]
3 years ago
7

Help Please..............​

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

9\frac{3}{2} smallest

27\frac{1}{3}

125\frac{2}{3} largest

Step-by-step explanation:

First change the mixed numbers into an improper fractions.

9\frac{3}{2} = \frac{21}{2}  9 x 2 = 18 + 3 = 21

27\frac{1}{3} = \frac{82}{3} 27 x 3 = 81 + 1 = 82

125\frac{2}{3} = \frac{377}{3} 125 x 3 = 375 + 2 = 377

Find the least common denominator.

2 and 3 have 6

\frac{21}{2} = \frac{63}{6} smallest

\frac{82}{3} = \frac{164}{6} medium

\frac{377}{3} = \frac{754}{6} largest

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The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the n
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Answer:

  (dN)/(dt) = (0.4)/(1200)N(1200-N) -50

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Step-by-step explanation:

A) The differential equation is modified by adding a -50 fish per year constant term:

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B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.

  (0.4/1200)(N)(1200-N) -50 = 0

  N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient

  N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square

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  N = 600 + √210,000 ≈ 1058

This steady-state number of fish is ...

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3 years ago
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5 0
4 years ago
Read 2 more answers
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