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kondaur [170]
3 years ago
13

The function f(x)=200(1.4)^t gives the approximate number of fish in a large pond after t years. Select all of the true statemen

ts.
Hint: An exponential growth function is start(1+rate)^time


A. There were originally 140 fish in the pond.
B. There were originally 200 fish in the pond.
C. The number of fish increases by 40% every year.
D. The number of fish increases by 100 fish every year.
E. The number of fish increases by 140 fish every year.
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0
I think the answer would be C
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A rectangular piece of plywood has a diagonal that measures three times the width. The length of the plywood is three feet more
Karolina [17]

Answer:

The length of diagonal is 4.922 feet.

Step-by-step explanation:

Let the width be = w

Let the diagonal be = d

Let the length be = l

Given is that the diagonal measures three times the width, this gives: d=3w

Also given is the length of the plywood is three feet more than the width. This is : l=x+3

Now, in terms of x we get:

Width = x

Length = (x+3)

Length of Diagonal = 3x

Now applying Pythagorean Theorem

a^{2}+b^{2}=c^{2}

x^{2}+(x+3)^{2}=(3x)^{2}

x^{2}+x^{2}+6x+9=9x^{2}

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-7x^{2}+6x+9=0

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x = 3/7 +/- (12√2) / -14

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