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(image inserted)Assignment - Irrational Numbers
If an object is dropped from a height of h feet, the time (in seconds)
it takes to reach the ground is given by the formula:
2h
32
1) How long will it take an object to reach the ground when dropped
from a height of: (a) 144 ft? (b) 256 ft? (c) 1000 ft?
Is the difference in the answers surprising? Why?
2) In 2020, of a random sample of votes cast, 12 out of 25 were
cast for Candidate A and 23 out of 50 were cast for Candidate B.
(Note: This formula ignores air
resistance)
What fraction of ballots were cast for someone other than
Candidate A or Candidate B?

PLEASE HELP ILL GIVE YOY BRAINLIST ANSWER <3

image insertedAssignment Irrational Numbers If an object is dropped from a height of h feet the time in seconds it takes to reach the ground is given by the for class=

Respuesta :

Answer:

1)(a) t = √(2(144)/32) = √(288/32)

= √9 = 3 sec.

(b) t = √(2(256)/32) = √(512/32)

= √16 = 4 sec.

(c) t = √(2(1,000)/32) = √(2,000/32)

= √62.5 = √(250/4) = (5/2)√10

= about 7.91 sec

The difference in these answers is

not surprising because if an object

is dropped from a higher height, it

will take more time for the object to

reach the ground.

2) (12 + 23)/(25 + 50) = 35/75 = 7/15

of the ballots were cast for either

Candidate A or Candidate B, so

8/15 of the ballots were cast for

someone other than Candidate

A or Candidate B.

sqdancefan

Answer:

  1. a: 3 s; b: 4 s; c: 7.9 s — not surprising; time is proportional to root of distance
  2. 3/50

Step-by-step explanation:

Given the formula for air time of a dropped object you want the times for heights of 144, 256, and 1000 ft. You want the fraction of votes for neither A nor B if A got 12 of 25 votes and B got 23 of 50 votes.

1. Air time

The formula can be simplified to ...

  [tex]t=\dfrac{\sqrt{h}}{4}[/tex]

This tells us the time is proportional to the square root of the height, so the time will increase a lot slower than the height does.

Then the times of interest are ...

  a: (√144)/4 = 12/4 = 3 . . . seconds

  b: (√256)/4 = 16/4 = 4 . . . seconds

  c: (√1000) = 2.5√10 ≈ 7.9 . . . seconds

2. Votes

The fraction of votes for neither A nor B will be the difference between 1 and the sum of the votes for A or B.

  A = 12/25 = 24/50

  B = 23/25

  A or B = (24 +23)/50 = 47/50

The remaining 3/50 votes were for neither A nor B.

Ver imagen sqdancefan

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