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nika2105 [10]
3 years ago
8

A) The three levels of biodiversity are genetic diversity, species diversity, and ecosystem diversity. Explain the three levels

of
biodiversity and the concerns associated with loss of diversity at each level.
B) Species and genetic diversity can be very beneficial to humans. Describe three ecosystem services that nature provides to
humans.
Advanced Placement (AP)
1 answer:
Lerok [7]3 years ago
8 0

Answer:

A) Biodiversity, often known as biological diversity, refers to the diversity of living things on the planet. It is defined as the degree of life variance. Microorganisms, plants, animals, and ecosystems such as coral reefs, woodlands, rainforests, and deserts are all examples of the biological variety. B) Each species, no matter how large or little, plays a crucial part in the environment when it comes to biodiversity. It symbolizes the abundance of biological resources at our disposal. It's all about preserving the natural region, which is made up of a community of plants, animals, and other living things, which is steadily dwindling as we plan human activities, which is being dwindled due to habitat loss.

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Farmers growing high-yield crops are more likely to be self-sufficient and thus require less support from the rest of society.

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Match each collage credit option with its description
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3 years ago
The height y (in feet) of a ball thrown by a child is
Simora [160]
I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet

For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.

For b), we find the vertex of y = -1/16x^2 + 4x + 3
                               y = -1/16x^2 + 4x + 3
                               y = -1/16(x^2 - 64x) + 3
                               y = -1/16(x^2 - 64x + 1024 - 1024) + 3
                               y = -1/16((x-32)^2 - 1024) + 3
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                               y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.

For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
                     x = [ -b <span>± √b^2 - 4ac ] / (2a)</span><span>
                     x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))   
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Only the positive solution, so 64.741 feet         </span>
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The equilateral triangular cross sections of a solid with base an arch of y = sin(x) on
olga nikolaevna [1]
We can define the base of each equilateral section as b(x) = \sin(x) since this is the distance from the x-axis to the function y=\sin(x).

An equilateral triangle's area can have a function defined solely by the base. Since all sides are equal, the height of the triangle can be found via pythagorean theorem as: A(b)=\frac{1}{2}b\sqrt{b^2+\left (\frac{b}{2} \right)^2} = \frac{b}{2}\sqrt{\frac{5b^2}{4}}

But we know that the base b(x) is a function of x. We also can then state that Area A(b(x)) is also a function of x. Specifically: A(x) = \frac{\sin(x)}{2}\sqrt{\frac{5\sin^2(x)}{4}}.

Then if we integrate the area function A(x) from 0 to pi, we get the total volume:

\displaystyle \int_0^{\pi} A(x) dx = \int_0^{\pi} \frac{\sin(x)}{2}\sqrt{\frac{5\sin^2(x)}{4}} dx = \int_0^{\pi} \frac{\sqrt{5} \sin^2(x)}{4}dx
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