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Yakvenalex [24]
3 years ago
15

How many ways can first, second, and third place be awarded in a race of 20 people?

Mathematics
1 answer:
Volgvan3 years ago
3 0
That would be 20 x 19 x 18 which equals 6840. 
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.
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A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
2 years ago
Can pls someone help me :(
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Answer:

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Again, just simple addition and subtraction: $1,034.52
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When the smaller of two consecutive integers is added to four times the larger, the result is 49. Find the integers.
ryzh [129]
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These numbers are 9 and 10.
8 0
3 years ago
If c=4 and the problem is c to the third power/2 what is the answer?
tiny-mole [99]

c=4\\\frac{c^3}{2}\\\frac{(4)^3}{2}\\\frac{64}{2}\\32

When c = 4 and it is applied to this equation, the answer is 32.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

6 0
3 years ago
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