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sweet [91]
3 years ago
9

Can someone help with 5 please?

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
The answer should be 8x^3-36x^2+54x-27
To get this you have to do (2x-3)(2x-3)(2x-3) and distribute through each parenthesis. Hope this helps
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Someone Explain to me how 5. Is valid ???
vichka [17]

This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:

If I step on a beehive, then I will get stung.

If I get stung by a bee, then it will hurt.

Therefore, if I step on a beehive, then it will hurt

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So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.

6 0
3 years ago
Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
horsena [70]

Answer:

32pi

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5 0
2 years ago
Read 2 more answers
How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
ziro4ka [17]

Answer:

\displaystyle x = \frac{\pi}{3} +k\, \pi or \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi, where k is an integer.

There are three such angles between 0 and 2\pi: \displaystyle \frac{\pi}{3}, \displaystyle \frac{2\, \pi}{3}, and \displaystyle \frac{4\,\pi}{3}.

Step-by-step explanation:

By the double angle identity of sines:

\sin(2\, x) = 2\, \sin x \cdot \cos x.

Rewrite the original equation with this identity:

2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0.

Note, that 2\, (2\, \sin x \cdot \cos x) and (-2\, \sin x) share the common factor (2\, \sin x). On the other hand, 2\sqrt{3}\, \cos x and (-\sqrt{3}) share the common factor \sqrt[3}. Combine these terms pairwise using the two common factors:

(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0.

Note the new common factor (2\, \cos x - 1). Therefore:

\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0.

This equation holds as long as either \left(2\, \sin x + \sqrt{3}\right) or (2\, \cos x - 1) is zero. Let k be an integer. Accordingly:

  • \displaystyle \sin x = -\frac{\sqrt{3}}{2}, which corresponds to \displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi and \displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi.
  • \displaystyle \cos x = \frac{1}{2}, which corresponds to \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi and \displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi.

Any x that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

  • \displaystyle x = \frac{\pi}{3} + k \, \pi (from \displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi and \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi, combined,) as well as
  • \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi.
7 0
3 years ago
Help please, I’m not sure
JulijaS [17]
\frac{ \frac{7}{24} }{ \frac{35}{48} } = \frac{2}{5}
4 0
3 years ago
Make the following conversion. 50.5 cm = _____ hm
GaryK [48]
0.00505 hm 

hope this helps!
6 0
3 years ago
Read 2 more answers
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