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amid [387]
3 years ago
10

What is the cube root of 27what is the factorization of 216x^12 - 64

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answers:

1) 27 is the same as multiplying three times three times three:

(3)(3)(3)={3}^{3}=27    (1)

Now, the cube root of 27 can be written as:

\sqrt[3]{27}={(27)}^{\frac{1}{3}}    (2)

Knowing the information given by (1) we can rewrite (2) as:

{({3}^{3})}^{\frac{1}{3}}

Applying the rule of exponents with the same base, which in this case is 3:

{(3)}^{3(\frac{1}{3})}=3

Finally:

\sqrt[3]{27}=3

2) We have the following expression:

216{x}^{12}-64

That can be factored by taking the common factor, which in this case is 8:

8(27{x}^{12}-8)

Then:

216{x}^{12}-64=8(27{x}^{12}-8)

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Answer:

1641.36 is how much he will pay for that stuff in one year

Step-by-step explanation:

$1641.36

5 0
3 years ago
Read 2 more answers
V = the square root of 2as Solve for s
Gnom [1K]
 As, v=√2as
Squaring both sides,
v²=2as
∴ s= v²/2a
6 0
3 years ago
Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?
puteri [66]

The <em>correct answers</em> are:


C) No: we would need to know if the vertex is a minimum or a maximum; and

C)( 0.25, 5.875).


Explanation:


The domain of any quadratic function is all real numbers.


The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.


If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.


There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.


The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).

5 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=32%2F8%20%3D%2040%2Fh" id="TexFormula1" title="32/8 = 40/h" alt="32/8 = 40/h" align="absmiddle
natka813 [3]
If you are solving for h the answer is 10
First you reduce the fraction with 8 so your get
4=40/h
Then you multiply both sides by h and you get
4h=40
After that you divide both sides by 4
And your answer is
h=10
3 0
3 years ago
What is this equation 4(3+5)- 3.9*2<br> THIS ISN´T A DECIMAL ITS A MIDDLE DOT
vredina [299]

Answer:

The answer is letter 'J'

Step-by-step explanation:

4(3+5) - 3 x 9^2

4(8) - 3 x 9^2  ←  9 x 9 = 81

16 - 3 x 9^2

16 - 3 x 81

13 x 81

1,053

4 0
3 years ago
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