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Anastaziya [24]
3 years ago
8

PLs answer correctly will mark brainliest, 40 points

Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

  • A, C, A

Step-by-step explanation:

<u>Use properties</u>

  • (mᵃ)ᵇ = mᵃᵇ
  • mᵃ*mᵇ = mᵃ⁺ᵇ

10.

  • (-t⁴)³ = -t⁴ˣ³ = -t¹²
  • Option A

11.

  • (t⁸)² = t⁸ˣ² = t¹⁶
  • Option C

12.

  • (x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹
  • Option A
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Please help with this question
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Answer:

a) t = 4000/v

b) t = 4000/(v + 20)

c) see attached workings

Step-by-step explanation:

a)  A man jogs 4 km everyday at an average speed of v m/min

As the speed is measured in <u>meters per minute</u>, we need to convert the distance (4 km) into meters:

    1 km = 1000 m

⇒ 4 km = 4 x 1000 = 4000 m

   distance = speed x time

⇒ time = distance / speed

⇒ t = 4000/v  (where t = time in minutes)

b) If his average speed increased by 20 m/min, then his speed would now be  (v + 20) m/min

⇒ t = 4000/(v + 20)  (where t = time in minutes)

c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:

t - 3 = 4000/(v + 20)

Now simply substitute the first equation t = 4000/v into the second:

(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).

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