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antoniya [11.8K]
3 years ago
5

What is the answer to 8x^3+125 by factoring the perfect cube?

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}

Step-by-step explanation:

8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)

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IAN LEAVES NORFOLK VA TRAVELING WEST AT 50MPH ANDREW LEAVES NORFOLK VA 3 HOURS LATER TRAVELS IN THE SAME DIRECTION GOING 68 MPH.
Paladinen [302]
Approximately 5 hours

4 0
3 years ago
In a volcano, erupting lava flows continuously through a tube system about 20 kilometers to the sea. Assume a lava flow of 0.5 k
butalik [34]

Answer:

40 hours

Step-by-step explanation:

Lets take "x" as the # of hours it takes the lava to reach the sea

since there is a lava flow of 0.5 kilos per hour

we will multiply "x" with 0.5

0.5x

now the tube system is 20 kilometers long

this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep

so

0.5x=20

divide "0.5" by both sides to eliminate the coefficient

\frac{0.5x}{0.5} =\frac{20}{0.5}

x=40

it will take 40 hours for the lava to reach the sea

Hope this helps!

3 0
2 years ago
A bicycle wheel with diameter 16 inches rides over a screw in the street. the screw is on level ground before it punctures the b
weqwewe [10]

The height of the screw = 16 inches.

<h3>How do you determine the number of revolutions in a circle?</h3>

The total distance covered in one revolution will be equal to the perimeter of the wheel. Finally, to find the total number of revolutions, divide the total distance by distance covered in one revolution.

Given that,

Diameter of a bicycle = 16 inches

The distance the bike moves (forward) after the screw punctures the tire = 56π inches

We note that the circumference of the bicycle = π·D = π × 16 = 16π inches

Therefore,

\frac{56\pi }{16\pi } = 3.5

Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.

The height, h of the screw in the final half turn is given by the relation;

h = A cos(Bx - C) + D

Where

A = Amplitude of the motion = Diameter/2 = 16/2 = 8

P = The period of the motion 2π/B

Bx = The angle described by the motion = Half of one revolution = π = 180°

C = Phase shift = π

D = The mid line = Diameter/2 = 8 inches

Therefore;

h = 8×cos(π - π) + 8 = 16 inches

Hence, After the bike moves forward another 56π inches the height of the screw = 16 inches.

To learn more about number of revolution from the given link:

brainly.com/question/17266654

#SPJ4

8 0
2 years ago
Use absolute value to express the distance between −13 and 17 on the number line. |−13 − 17| = −30, |−13 − 17| = 30, |−13 − 17|
sammy [17]
<span> |−13 − 17| = 30 is the answer.</span>
6 0
3 years ago
Read 2 more answers
What is the measure of X?
Alexus [3.1K]

Answer:

62°

Step-by-step explanation:

(180-56)÷2=

=124÷2=

=62°

this triangle is Isosceles. 

8 0
2 years ago
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