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Aloiza
4 months ago
9

15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t

he number of blue trout after x years. In 5 years, what will happen to the population?
Mathematics
1 answer:
Inessa [12.5K]4 months ago
0 0

Answer:

I'm assuming you mean f(x)=15,000(9/8)^x. If so, the population rises by nearly 12,000 (specifically, 12030.4870605).

Step-by-step explanation:

Initial equation: f(x)=15,000(9/8)^x

We can simplify 9/8 to 1.125

You will need to calculate (9/8)^5 which equals 1.8020324707

Next, multiply 1.8020324707 by 15,000 for a result of 27030.4870605

Finally, subtract 15,000 from 27,030.4870605 to arrive at 12030.4870605, indicating an approximate increase of 12,000 in the population.

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Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did
babunello [11817]

Answer:

The scale factor equates to 3.

Detailed explanation:

Please refer to the provided image for clarity regarding this issue.

We know that

If two shapes are similar, then the ratio of their areas corresponds to the square of the scale factor.

Let

z -----> scale factor

x -----> area of polygon Q

y ----> area of polygon P

Thus, we have

z^{2}=\frac{x}{y}

so, we proceed with

y=5\ units^2

Determining the area of polygon Q

The polygon Q can be divided into five distinct squares.

Refer to the additional figure N 2.

The area of polygon Q, which represents the total area of the five squares, is

x=5(3^2)=45\ units^2

Calculating the scale factor

z^{2}=\frac{x}{y}

Thus, we derive

x=45\ units^2

y=5\ units^2

By substituting the values, we find

z^{2}=\frac{45}{5}

z^{2}=9

Taking the square root of both sides results in

z=3

Thus,

The scale factor resolves to 3.

8 0
4 months ago
Read 2 more answers
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