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3 years ago

What is the factorization of 1000x^6 - 27?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

Answer:

Step-by-step explanation:

Cube root 1000x^6 = 10x^2

Cube root of - 27 = 3

So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.

The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)

Expanding you get 100x^4 + 30x^2 + 9

Be very careful when looking at 100x^4 because that is where the answer is found.

It has to be B

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How much water must be evaporated from a 70 oz, 15% saline solution to produce a 25% saline solution? Round your final answer to

icang [17]

Answer:

28 oz of water

Explanation:

Percentage of salt in the original solution = 15%

Let the amount of water to be evaporated = w

If we remove w oz of water from 70 oz solution, the resulting solution contains:

$25\%\text{ of }(70-w)\text{ salt}$

So, we have the equation:

$0.15(70)=0.25(70-w)$

We then solve for w:

$\begin{gathered} 10.5=17.5-0.25w \\ \implies0.25w=17.5-10.5 \\ 0.25w=7 \\ Divide\text{ both sides by 0.25} \\ \frac{0.25w}{0.25}=\frac{7}{0.25} \\ w=28 \end{gathered}$

Thus, 28 oz of water must be evaporated from a 70 oz, 15% saline solution to produce a 25% saline solution.

3 0

1 year ago

Resolve into factors. 64x6y3-125

Sergio [31]

Answer:

The Answer = 384y^3 - 125

8 0

2 years ago

Which formula can be used to find the nth term in a geometric sequence where

VikaD [51]

Hello :
<span>the nth term in a geometric sequence where is ;
an = a1 ×qn .... q : common ratio a1 the first term
exempl :
C) an = 2×3^n-1
an =2×3^n ×3^-1
an =(2/3)×3^n
a1 = 2/3 and q= 3
same method for : D

</span>

6 0

3 years ago

Read 2 more answers

A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow

Vikentia [17]

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

$\frac{x}{6} = \frac{12}{8}$