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vovikov84 [41]
4 years ago
9

Which is the simplified form of r^-7+s^-12

Mathematics
1 answer:
grigory [225]4 years ago
5 0

Answer:

The simplest form is 1/r^7 + 1/s^12

Step-by-step explanation:

The given expression is r^-7+s^-12.

Notice that the exponents of both the base are negative

So, we will apply the rule which is:

a^-b = 1/a^b

Which means that to change the exponent into positive we will write it as a fraction:

r^-7+s^-12.

= 1/r^7 + 1/s^12..

Therefore the simplest form is 1/r^7 + 1/s^12....

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A cargo plane flew roundtrip from Smithtown to Johnsville. It took one hour less time to get there than it did to get back. The
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Answer:

13 hours

Step-by-step explanation:

Average speed = Distance traveled / time taken

                   ⇒ Distance = Average speed × Time

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t₂ is the time taken on the way back

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                           d₁ = d₂                              

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                          280t₁ = 240t₂              ------(3)

It took one hour less time to get there than it did to get back, then,

                                 t₁ = t₂ - 1

                                 t₂ = t₁ + 1                ------(4)

Substituting equation (4) into  equation (3)

                               280t₁ = 240(t₁ + 1)

                               280t₁ = 240t₁ + 240

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The total time for the trip is t₁ + t₂ = 6 + 7

                                       = 13 hours    

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