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____ [38]
3 years ago
6

(UPE) Terremotos são eventos naturais que não têm relação com eventos climáticos extremos, mas podem ter consequências ambientai

s devastadoras, especialmente quando seu epicentro ocorre no mar, provocando tsunamis. Uma das expressões para se calcular a violência de um terremoto na escala Richter é onde M é a magnitude do terremoto, E é a energia liberada (em joules) e E0 = 104,5 joules é a energia liberada por um pequeno terremoto usado como referência. Qual foi a ordem de grandeza da energia liberada pelo terremoto do Japão de 11 de março de 2011, que atingiu magnitude 9 na escala Richter?
Mathematics
1 answer:
Alex3 years ago
6 0

Answer:

E=10^{18} Joules

Step-by-step explanation:

1) Olá! Adicionando dados faltantes ao enunciado, como a fórmula dada: M=\frac{2}{3}log(\frac{E}{E_{0}})\\ e corrigindo a quantidade de Energia inicial: 10^{4,5} Vamos seguir aplicando a fórmula, lembrando das propriedades de logaritmo.

M=\frac{2}{3}log(\frac{E}{E_{0}})\\9=\frac{2}{3}log(\frac{E}{10^{4,5}})*3\\27=2log(\frac{E}{10^{4.5}})\\log(\frac{E}{10^{4.5}})^{2}=27\\(\frac{E^{2}}{10^{9}})=10^{27}\\E^{2}=10^{27}*10^{9}\Rightarrow E=\sqrt{10^{36}}\rightarrow E=10^{18} Joules

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If we examine a sample of tires used for 60,000 miles and determine the proportion that are worn out, how likely is that proportion to be 3.6% or less?

Step-by-step explanation:

First of all, when you want to contrast two hypothesis you need a confidence level p% without which the comparison makes no sense.

In this case, you want to refuse the null hypothesis (the average is 5%) with an alternative one (the average is less than 5%).  

You propose a new average (3.6%) based on the evidence.

You cannot prove that the average is actually 3.6%, <em>but if you somehow determine that the probability the average is greater than 3.6% is lower than 100% minus your confidence level p% ,then you can refute the null hypothesis and accept the alternative one as new average. </em>

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If we examine a sample of tires used for 60,000 miles and determine the proportion that are worn out, how likely is that proportion to be 3.6% or less?

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3 years ago
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What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26
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x = 26

Step-by-step explanation:

1 / 3 (x - 2) = 1 / 5 (x + 4) + 2

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4 years ago
Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run a 6.5 mile race?
Mademuasel [1]

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A. 57.2

Step-by-step explanation:

Given: Nelly runs =  10-mile race in 88 minutes. At the same rate but 6.5-mile race

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<u>How to calculate running pace</u>

  • Divide your run time by your distance
  • If you ran 3 miles in 30 minutes:  30 min ÷ 3 mi = 10 minutes per mile pace

<u>How to calculate run distance</u>

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<u>How to calculate run time</u>

  • Multiply your pace by your distance
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<u>How to calculate running speed</u>

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BlackZzzverrR [31]

Answer:

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Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

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Now that we have this, we can use point-slope form along with one of the points to get the equation.

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