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sveta [45]
3 years ago
10

Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

           1

C =   --------

        a¹² b⁸

Step-by-step explanation:

(a⁻³/b²)⁴

( (1/a³) / (b²))⁴

( 1/a³  ÷ b² )⁴

therefore,

      1

=   ------

   a¹² b⁸

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alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya
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Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

<em>Additional comment</em>

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

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2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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