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nata0808 [166]
3 years ago
10

What are the minimum, first quartile, and maximum of the data set 55 54 59 61 61 62 68 70 72

Mathematics
1 answer:
Sonja [21]3 years ago
6 0
Minimum is 55 and I think the first quartile is 83.5 and the max is 72
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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
Carleen has 104 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 8 kids on her block. Wr
algol13

Answer:

8x = 104

x = 13

Step-by-step explanation:

Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.

The equation is saying 8 kids times <em>x</em> amount of candy per kid is equal to a total amount of 104 pieces of candy.

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP, I WILL MARK THE BRAINLIEST
dlinn [17]

Answer:

the answer is c now mark me brainliest please.

Step-by-step explanation:

all sides are congruent and it is a parallelogram.

8 0
3 years ago
Simplify 5 to the negative 4th power over 5 to the 3rd
Licemer1 [7]
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷
4 0
3 years ago
Help :/ ill give brainly :&gt;
olga55 [171]

Answer:

A. Trapezoid

B. Isoclese triangle

c. Equilateral triangle

d. Kite

4 0
3 years ago
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