3 years ago

What is the value of x when the Richter scale rating is 4.4? Round your answer to the nearest hundredth. Pls help

Mathematics

1 answer:

Lemur [1.5K]3 years ago

5 0

Hello,

We have to use this relation : $\text{rating}=\log(\text{ratio})$

He we have :

$\log_{10}(x)=4.4\\\\\text{then }x=10^{\log_{10}(x)}\\\\\rightarrow x=10^{4.4}\\\\\rightarrow x=25\ 118.864\\\rightarrow x=25\ 118.86$

You might be interested in

Money Flow The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the

77julia77 [94]

Answer:

Present value = $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5% compounded continuously

Now,

Accumulated Value of the money flow = $1000e^{0.05t}$

The present value of the money flow = $\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt$

= $1000\int\limits^4_0 {e^{0.015t}} \, dt$

= $1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4$

= $1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]$

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = $e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt$

= $e^{0.035\times4}\times4,122.4$

= $4,742

8 0

3 years ago

Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?

Murrr4er [49]

V = l * w * h
240 = 20* h
divide both sides by 20
12 = h
height = 12 inches

8 0

3 years ago

Read 2 more answers

Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it

olchik [2.2K]

49.5/ 5.5
= 9 minutes to run one mile

8 0

3 years ago

A jar contains n nickels and d dimes. There are 28 coins in the jar,and total value of the coins is $2.20. How many nickels and

Harman [31]

N + d = 20 (there are a total of 20 nickels and dimes).05n + .1d = 1.4 (total change equals $1.40)

7 0

3 years ago

Kylie installed a fence along the 500-foot perimeter of her rectangular backyard. She left an opening for a gate. In the diagram

pentagon [3]

The correct answer is B.

8 0

3 years ago

Read 2 more answers