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Nimfa-mama [501]
3 years ago
5

Which of the following is equivalent to (16^3/2)^1/2

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know a^b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Rewriting 16 as 2^4

2^4^3/4

2^(4*3/4)

2^3

8

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Answer and Step-by-step explanation:

<u>How to solve:</u>

Use the Pythagorean Theorem to find the length of side <em>BC</em>.

<u>Pythagorean Theorem Formula:</u>

<u />A^2+B^2=C^2<u />

<u />

Side AB will be A, side AC will be B, and side BC will be C.

<u>Plug in values.</u>

8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\

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<u>I hope this helps!</u>

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5 0
3 years ago
Please help me !!!!!!!!
Neko [114]
Hi :)
the correct answer is J
hope this helps!
6 0
3 years ago
Which expression is equivalent to 5^4(5^-^3)^2?<br> 5^1 <br> 5^2<br> 1/5^1<br> 1/5^2
inessss [21]

Answer:

1 5th  ^2.

Step-by-step explanation:

8 0
3 years ago
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were consi
valentina_108 [34]

Answer:

The answer is "0.4329 ".

Step-by-step explanation:

P( three in favor of FA)

Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges  

=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2  \times 1\times 3!}\times \frac{5  \times 4  \times 3!}{2 \times 1 \times 3!}}{\frac{11  \times10  \times 9  \times 8 \times 7  \times 6! }{5 \times 4 \times 3  \times 2  \times 1 \times 6!}}\\\\

=\frac{ (5 \times 4) \times(5  \times 2)}{(11  \times 3  \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329

6 0
3 years ago
Solve the system using elimination 4x-7y=3 <br> x-7y=-15
BigorU [14]
The answer is 6,3
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6 0
3 years ago
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