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3 years ago

6

Which part of agricultural soil contains relatively few organisms and organic material, but also has an accumulation of leached

nutrients for plant roots?
A)
A horizon
B)
B horizon
C)
D horizon
D)
parent material

1 answer:

notsponge [240]3 years ago

5 0

Answer: b or d

Explanation:

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3 years ago

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garri49 [273]

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2 years ago

Read 2 more answers

25 points! Write and simplify a polynomial expression for the volume of each figure.

solong [7]

Answer:

$\large\boxed{1.\ V=3b^4-15b^3+3b^2-15b}\\\boxed{2.\ V=4\pi n^3-16\pi n^2+16\pi n}\\\boxed{3.\ V=2k^3-k^2-6k}$

Step-by-step explanation:

<h3>The picture #1:</h3>

It's a rectangular prism. The formula of a volume of a rectangular prism:

$V=lwh$

l - length

w - width

h - height

We have

$l=b+1,\ w=3b,\ h=b-5$

Substitute:

$V=(b+1)(3b)(b-5)$

<em>Use the distributive property </em><em>a(b + c) = ab + ac</em>

<em>and the FOIL:</em><em> (a + b)(c + d) = ac + ad + bc + bd</em>

$V=(3b^3+3b)(b-5)=3b^4-15b^3+3b^2-15b$

<h3>The picture #2:</h3>

It's a cone. The fomula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2h$

r - radius

h - height

We have:

$r=n-2,\ h=12n$

Substitute:

$V=\dfrac{1}{3}\pi(n-2)^2(12n)$

<em>Use </em><em>(a + b)² = a² + 2ab + b²</em>

$V=\dfrac{1}{3}\pi(n^2-4n+4)(12n)=(4\pi n)(n^2-4n+4)$

<em>Use the distributive property:</em>

$V=4\pi n^3-16\pi n^2+16\pi n$

<h3>The picture #3:</h3>

It's a pyramid with a rectangle in the base. The formula of a volume of a rectangular pyramid:

$V=\dfrac{1}{3}abh$

a, b - edge of a base

h - height

We have

$a=k-2, b=2k+3, h=3k$

Substitute:

$V=\dfrac{1}{3}(k-2)(2k+3)(3k)$

<em>Use the distributive property and the FOIL.</em>

$V=\dfrac{1}{3}(k-2)(6k^2+9k)=\dfrac{1}{3}(6k^3+9k^2-12k^2-18k)\\\\=\dfrac{1}{3}(6k^3-3k^2-18k)=2k^3-k^2-6k$

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3 years ago