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Radda [10]
3 years ago
10

Which expression is equivalent to (x⁻⁶/x²)³? A. 1/x B. 1/x⁵ C. 1/x⁹ D. 1/x²⁴

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

(x⁻⁶/x²)³=(x^-6-2)^3=(x^-8)^3=x^-24=

=1/x²⁴

So the answer is variant D

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12 square units

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A = 2(6) which is 12 square units

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O<br> 1) Which below graph represents direct variation?<br> GRAPH A<br> or<br> GRAPH B<br> Why?
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2 years ago
Eight people attend the theater "together and sit in a row with exactly eight seats. Suppose the eight people consist of three m
Nata [24]

Answer:

They can be seated in 120 differents ways.

Step-by-step explanation:

Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)

It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:

<u>      5         </u>*<u>        4          </u>* <u>       3           </u> *  <u>        2     </u>  * <u>         1         </u> = 120

 1st place    2nd Place    3rd place        4th Place    5th Place

Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.

Finally, they can be seated in 120 differents ways.

8 0
3 years ago
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