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11Alexandr11 [23.1K]
3 years ago
9

Earthquake measured 4.9 on the Richter scale. Determine approximately how many times strong the wave amplitude

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

a=15849*a_{o}

Step-by-step explanation:

The Richter scale is a logarithmic scale

\log_{10}\left( \frac{a}{a_{o}} \right)=4.9\\\left( \frac{a}{a_{o}} \right)=10^{4.9}\\\left( \frac{a}{a_{o}} \right)=10^{4.9}\\\left( \frac{a}{a_{o}} \right)=15,849\\{a}=15,849*{a_{o}}

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A. 12 <br> b. 14<br> c. 8<br> d. 6
jolli1 [7]

Answer:

  d.  6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

  PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

  7×12 = (3x)(7x)

  4 = x² . . . . . . . . . divide by 21

  2 = x . . . . . . . . . . take the square root

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  PD = 3x = 3·2

  PD = 6

5 0
3 years ago
Every small business must register with the secretary of state in their home state,
lawyer [7]
True is the answer ....
4 0
3 years ago
For f(x) = 3x - 1 and g(x) = x+2, find (f – g)(x).
kobusy [5.1K]
Well, I bet you want your answer right away! So here it is.


<span>Given <span>f (x) = 3x + 2</span> and <span>g(x) = 4 – 5x</span>, find <span>(f + g)(x), (f – g)(x), (f × g)(x)</span>, and <span>(f / g)(x)</span>.</span>

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

<span>\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>g(x)</span></span>​<span>​<span>f(x)</span></span><span>​​</span></span></span></span><span>= \small{\dfrac{3x+2}{4-5x}}<span>=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​


Hope I helped! :) If I did not help that's okay.


-Duolingo
</span></span></span></span>

7 0
3 years ago
What is the area of the triangle?​
Tpy6a [65]

Answer:

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Step-by-step explanation:

To find the area of a triangle you do base x height/2

9x4.5/2

40.5/2= 20.25

8 0
3 years ago
Harmony used discarded paper to make notepads for her friends. She would fold five letter size pieces of paper three times then
Anna11 [10]
First fold of a piece of paper produces two smaller pieces of paper
Second fold of the resulting pieces of paper produces 4 smaller pieces of paper.
Third fold of the resulting pieces of paper produces 8 smaller pieces of paper.

Thus, the five letter size pieces of paper folded three times produces 8 x 5 = 40 notes.

Thus, one notepad consists of 40 notes.

If someone wrote ten notes per day, then one notepad will last for 4 days.
7 0
3 years ago
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