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kkurt [141]
3 years ago
6

Se generan ondas, introduciendo en agua el borde de una regla 15 veces en 3.0 segundos. Calcular: a) el periodo de las ondas b)

su frecuencia
Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

Ver explicacion

Step-by-step explanation:

La frecuencia de una onda se define como el número de ciclos completos que realiza una partícula en un segundo.

f = n / t = 15 ciclos / 3 segundos = 5 ciclos por segundo o Hertz

El período de una onda es el tiempo que tarda la onda en realizar una oscilación o ciclo completo.

T = t / n = 3/15 = 0,2 segundos

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The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.

<h3>How to calculate the amount of money?</h3>

In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:

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<u>Complete Question:</u>

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?

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If <img src="https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20x%20%3D%20log_%7Ba%7D%28bc%29" id="TexFormula1" title="\rm \: x = log_{a}(
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\log_x(y) = \dfrac{\ln(y)}{\ln(x)}

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Use the product-to-sum identity,

\log_x(yz) = \log_x(y) + \log_x(z)

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xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}

Redistribute the factors on the left side as

xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}

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xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)

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xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}

Simplify and rewrite using the logarithm properties mentioned earlier.

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