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alina1380 [7]
3 years ago
8

A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

  • 8π radians/second
  • 527.8 meters

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

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Answer:

(2,-7)

Step-by-step explanation:

Use the midpoint formula! (Attached is a picture of it!)

1) Plug in the values:

(5-1)/2,(-6+-8)/2

2) Simplify:

4/2,-14/2

3) Solve:

(2,-7)

6 0
4 years ago
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Answer:

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Step-by-step explanation:

Slope:

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3 years ago
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Vladimir79 [104]
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8 0
3 years ago
For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)<1, ƒ(1)>−1, and ƒ(3)<−4. What could be the sign of a?
denis23 [38]

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

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4 0
4 years ago
Mr. Chang wants to retire in 10 years. He deposits $650.00 every three months into his retirement investment account. If the acc
Fittoniya [83]

Answer:

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