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anygoal [31]
1 year ago
14

Earthquakes are measured by the Richter scale and demonstrated by the formula R=log(A/A(o))where A measures the amplitude of the

earthquake wave and A(o) is the amplitude of the smallest detectable wave (or standard wave). An earthquake measures 6.6 on the Richter scale. How many times as great is the earthquake wave when compared to the standard wave? Round to the nearest whole number.
Mathematics
1 answer:
son4ous [18]1 year ago
8 0

Step-by-step explanation:

r =  log( \frac{a}{a(0)} )

we know that

r is 6.6

6.6 =  log( \frac{a}{a(o)} )

10 {}^{6.6}  = 10 {}^{ log( \frac{a}{a(0)} ) }

10 {}^{6.6}  =  \frac{a}{a(o)}

10 {}^{6.6} a(o) = a

This means that

the amplitude of earthquake wave is about 3981071 times greater than the amplitude of the standard wave.

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Find the length of side s to the nearest tenth.
stepladder [879]

Answer:

10.3

Step-by-step explanation:

So first you get the angle of T which is 25 degrees

The you use the law of sine

\frac{s}{Sin 119} =\frac{5}{Sin 25}

Then you get s = 10.34763268

Round to nearest tenth

s = 10.3

8 0
2 years ago
Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

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hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

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8 0
3 years ago
The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

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We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

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Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

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The population next year will be 118,976 people.

3 0
3 years ago
What is 5,389.029 rounded to the nearest hundreth
natali 33 [55]
It is 5389.030 to nearest hundredth
7 0
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