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choli [55]
2 years ago
7

Which is the simplified form of

Mathematics
2 answers:
ahrayia [7]2 years ago
5 0

For this case, we must simplify the following expression:

r ^ {- 7} + s ^ {- 12}

By definition of power properties we have to:

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

So, rewriting the expression we have:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Answer:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Option D

Rufina [12.5K]2 years ago
4 0

Answer:

 1           1

------ + -------    

r^7      s^12

Step-by-step explanation:

r^(-7) + s^(-12) can be re-written as

 1           1

------ + -------    by putting to use the rule:

r^7      s^12

                1

x^(-a) = ----------

              x^a

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Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

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                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

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4 0
2 years ago
Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms
yaroslaw [1]

Answer:

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Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

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We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

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makkiz [27]

Step-by-step explanation:

done

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Answer:

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