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Dafna11 [192]
3 years ago
15

Which expression can be simplified as 1/n^18

Mathematics
2 answers:
lukranit [14]3 years ago
6 0
(n^-3)^6=n^-18=1/n^18

the answer is D
Flura [38]3 years ago
4 0

Answer:

Option D is correct.

(n^{-3})^{6}   can be simplified as 1/n^18

Step-by-step explanation:

Using exponent rules:

(a^n)^m = a^{nm}

\frac{1}{a^n} = a^{-n}

Given the expression:

\frac{1}{n^{18}}

Apply the exponent rules:

⇒n^{-18}

A.

(n^2)^9

⇒n^{2 \cdot 9} = n^{18}

B.

(n^(-9))^(-2)

⇒n^{-2 \cdot -9} = n^{18}

C.

(n^{-6})^{-3}

⇒n^{-6 \cdot -3} = n^{18}

D.

(n^{-3})^{6}

⇒n^{-3 \cdot 6} = n^{-18}

Therefore, (n^{-3})^{6} expression can be simplified as n^{-18}

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Ostrovityanka [42]

Answer:

$6 Sweet t saved on green-eyed fleas new album .

Step-by-step explanation:

As given

Sweet t saved 20% of the total cost of the green-eyed fleas new album .

.If the regular price is $30.

20% is written in the decimal form.

= \frac{20}{100}

= 0.20

Thus

Sweet t saved on green-eyed fleas new album =  0.20 × 30

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5 0
3 years ago
The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

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replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

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That is, the interval would be (234, 298)

6 0
3 years ago
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Musya8 [376]

Answer:

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Just solve for q. Because that's the output. h(r) = q

3 0
3 years ago
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valentinak56 [21]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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<span>2x + x = 12 
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