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Vaselesa [24]
3 years ago
11

There are 18 fish in a 1 ft x 4 ft x 7 ft fish tank. What is the population density in the fish tank?

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Find the volume of the tank:

Volume = 1 x 4 x7 = 28 cubic feet.

Divide number of fish by volume:

18/28 = 9/14 fish per cubic foot.

MakcuM [25]3 years ago
6 0

Answer:

0.643 fish / cubic foot to the nearest thousandth.

Step-by-step explanation:

The volume of the tank = 1 * 4 * 7

= 28 ft^3.

The population density = the number of fish / the volume of the water

= 18/28

= 0.643.

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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
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Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

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yawa3891 [41]
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