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irinina [24]
3 years ago
11

Is -14 a whole number but not a natural number?

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

Step-by-step explanation:

Yes

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Write a cosine function that has an amplitude of 2, a midline of 5 and a period of \frac{3\pi}{4} 4 3π ​ .
kakasveta [241]

Given:

Amplitude = 2

Midline = 5

Period of \dfrac{3\pi}{4}.

To find:

The cosine function.

Solution:

The general cosine function is:

f(x)=A\cos(Bx+C)+D            ...(i)

Where, |A| is amplitude, \dfrac{2\pi}{B} is period, -\dfrac{C}{B} is phase shift and D is the mid line.

Period of function is \dfrac{3\pi}{4}. So,

\dfrac{3\pi}{4}=\dfrac{2\pi}{B}

B=2\pi\times \dfrac{4}{3\pi}

B=\dfrac{8}{3}

Substituting A=2,\ B=\dfrac{8}{3},\ C=0,\ D=5 in (i), we get

f(x)=2\cos(\dfrac{8}{3}x+0)+5

f(x)=2\cos(\dfrac{8}{3}x)+5

Therefore, the required cosine function is f(x)=2\cos(\dfrac{8}{3}x)+5.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

1/100 × 300/1 =3

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The table shows the distances a runner covers in one week how much farther does she run on Thursday than friday
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