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Mars2501 [29]
3 years ago
13

What is the factored form of 125x6 – 8?

Mathematics
2 answers:
bonufazy [111]3 years ago
5 0
Hello,

Answer C

(5x²)^3-(2)^3=(5x²-2)((5x²)²+5x²*2+2²)

ryzh [129]3 years ago
5 0

Answer:

(5x^2-2)(25x^4 +10x^2+4)

Step-by-step explanation:

125x^6 – 8

We write the numbers in exponential form

125= 5*5*5 = 5^3

8 = 2*2*2= 2^3

Now 125x^6 - 8 becomes 5^3x^6 - 3^3

5^3x^2*3- 3^3

(5x^2)^3 - 2^3

We got the expression in cube form a^3- b^3= (a-b)(a^2+ab+b^2)

(5x^2)^3 - 2^3

a= 5x^2  and b= 2

(5x^2)^3 - 2^3=(5x^2-2)((5x^2)^2- 5x^2 * 2+ 2^2)

=(5x^2-2)(25x^4 +10x^2+4)

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A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

,where B = \pi r^2

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


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3 years ago
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Answer:

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Explanation :

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Step-by-step explanation:

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Answer:

\boxed{3.1 \, \%}

Step-by-step explanation:

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\text{Percentage} = \dfrac{\text{Part}}{\text{Whole}} \times 100 \, \%

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The "whole" is Ramon's earnings.

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