An earthquake with a rating of 7.6 isknown to be a great earthquake that can
cause damage that extends several
hundred kilometers.
Math

Answers

Answer 1

Answer:

Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.

The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.

A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.

It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.

Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.

To know more about Richter scale. here

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Answer 2

Answer:

Answer:

39,810,717.06

Step-by-step explanation:

Question:

What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.

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What the solution set (x+9)^2=169 of this quadratic equations by extracting the roots?

Answers

Answer:

x = - 22, x = 4

Step-by-step explanation:

Given

(x + 9)² = 169 ( take the square root of both sides )

x + 9 = ± $√(169)$ = ± 13 ( subtract 9 from both sides )

x = - 9 ± 13

Thus

x = - 9 - 13 = - 22

x = - 9 + 13 = 4

Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Katrina'a home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. Th elibrary is 4 miles from her home. The football field is 18 miles from the library?

Answers

2 miles from her home. Not 6

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

Which of the following equations is written in standard form? A. 2.5x+3y=12 B. -10x-3y=1 C. 2x+3y=12 D. 5x+5y=10

Answers

C. 2x+3y=12 is written in standard form

What is the greatest common factor of 8m, 36m3, and 12?

4
8
4m
8m

Answers

The greatest common factor is exactly as it sounds: the greatest factors of two or more expressions.

Factorize the numbers and identify all common factors. To get the GCF multiply all common factors:

$8m=2\cdot 2\cdot 2\cdot m,\n36m^3=2\cdot 2\cdot 3\cdot 3\cdot m\cdot m\cdot m,\n 12=2\cdot 2\cdot 3$ .

Common factors are: 2 and 2, their product is 2·2=4, then the greatest common factor is 4.

Hello,
the gcd is 4 .

HELP ME PLEASE! 30 POINTS

Answers

Answer:

C=14

Step-by-step explanation:

To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.

(14,0) (0,17.5) (3.08,3.64)

C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)

C=14 C=52.5 C=14

Hello there,

Answer: C=14

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