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lina2011 [118]
2 years ago
5

Simplify the expression.

Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

x^{\frac{1}{2}}

Step-by-step explanation:

we have

(x^{\frac{1}{6}})^{3}

Applying the rule power

(b^{n})^{m}=b^{n*m}

(x^{\frac{1}{6}})^{3}=(x^{\frac{1}{6}*3})=x^{\frac{3}{6}}

Simplify

x^{\frac{1}{2}}

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51 times the difference between a number and 21 is equal to the number plus 58.
Lerok [7]

51(x - 21) = x + 58

<em><u>Distributive property</u></em>

51x - 1071 = x + 58

<em><u>Subtract x from both sides</u></em>

50x - 1071 = 58

<em><u>Add 1071 to both sides</u></em>

50x = 1129

<em><u>Divide both sides by 50</u></em>

x = 22.58


7 0
3 years ago
In a certain​ four-engine vintage​ aircraft, now quite​ unreliable, each engine has a 15​% chance of failure on any​ flight, as
Romashka [77]

Answer:

0.0975 or 9.75%

Step-by-step explanation:

Assuming that no engines fail simultaneously, the probability that exactly one engine fails is the probability that the first engine fails (15%) multiplied by the probability that the second engine does not fail (100% - 35%):

P = 0.15*(1-0.35)\\P=0.0975

The probability of exactly one engine failure is 0.0975 or 9.75%

8 0
2 years ago
Find the area of the figure
maria [59]

Step-by-step explanation:

Area =0.5×base×height

Area= 0.5×5×3=7.5ft

5 0
2 years ago
Please help me on this
Nastasia [14]

Answer:

Points H, J, G, and K

Step-by-step explanation:

For quadrats the right top is 1

left top is 2

left bottom is 3

right bottom is 4

and it is asking for the forth one so look at the right bottom "square"

G and K are on the line but that still makes them part of a Quadratic Just they get to be part of 2 of them like...

G is 3 and 4

K is 1 and 4

5 0
2 years ago
Read 2 more answers
(08.05)
Readme [11.4K]
The mistake is in step 3:

I: −2m =−12 − 2n
II: 2m = 8 + 8n

the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
5 0
3 years ago
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