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kvv77 [185]
3 years ago
14

Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{c

m}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

−6cos(  π/3  t)+21

Step-by-step explanation:

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Find the point of diminishing returns (x comma y )for the function​ R(x), where​ R(x) represents revenue​ (in thousands of​ doll
riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  R(x) =  10,000 -x^3 - 33x^2 + 800x ,  \ \ 0 \le x \le 20

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               R'(x) =  -3x^2 +66x + 800

Finding the second derivative of R(x)

              R''(x) =  -6x +66

at  inflection point    R''(x) =  0

    So      -6x  +66  = 0

=>           x=  11

    substituting value of x into R(x)

     R(x) =  10,000 -(11)^3 - 33(11)^2 + 800(11) ,

      R(x) = 21462

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

4 0
3 years ago
What is 54 percent as a fraction in simplest form
atroni [7]
54% is 54 out of 100.
There for the numerator is 54 and the denominator is 100.

\frac{54}{100}

Now, both the top and the bottom can be divided by 2. So:

\frac{54~divided~by~2}{100~divided~by~2} = \frac{27}{50}

\frac{27}{50} can't be simplified anymore, therefore, 27/50 is 54% as a fraction.

~Hope this helped :)
6 0
2 years ago
Read 2 more answers
is M a midpoint of line AB? AB=44, MB=22 a)maybe b)can't determine c)yes d)no (please explain how you got your answer)
Elza [17]

Answer:

Yes

Step-by-step explanation:

Yes, M is the midpoint of AB.

The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.

Whole line's measure = AB = 44

If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.

AM = BM = 44/2 = 22

5 0
2 years ago
Sweater:regular price 50$ sale price ,42.50
Marina CMI [18]
The discount is $7.5 if the discount is what you are looking for.
$50 - $42.50 is $7.5
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Naily [24]

Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

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