If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6, what is the relationship between the intensities of the two earthquakes?

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: This exercise refers to the decibel scale If one sound has a relative intensity one-hundredth that…

A: Solution:

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time…

A: Given: The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale.Around the same…

Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970,  We are to find at what year population of…

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If…

A: Explained below

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

A:

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Solve by making differential equation

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

A:

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: 3.Divers swimming at 7 meters below the surface found that the light level was 83% that of the…

A:

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There…

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at…

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: The population of a certain state is known to grow at a rate proportional to the number of people…

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

Q: If x + y represents a motorboat's rate with the current, in miles per hour, its distance after 4…

A: If x+y represents a motorboat’s average velocity with the current, in miles per hour, its distance…

Q: Suppose you want to test a claim about the average life span of a Subaru in average mpg (miles per…

A: Given that  Claim:  The average life span of a Subaru in average mpg (miles per gallon).   We know…

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

A:

Q: 1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present.…

A: Given:  If the growth rate of a culture of bacteria is proportional to the number of bacteria…

Q: This exercise refers to the decibel scale. If one sound has a relative intensity one-hundredth that…

A: Here one sound has relative intensity 1100 that of another. That is one is less than the other.

Q: It is known that the population of a certain country at time t is proportional to the people living…

A: Given:- It is known that the population of a certain country at time t is proportional to the people…

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: Follow the steps below to solve a differential equation(in terms of x and y) by the variable…

Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

A: Given query is to provide information regarding instantaneous rate of change and average rate of…

Q: The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time…

A: Magnitude of the earthquake is defined by M=logISwhere I = intensity of the earthquake (measured by…

Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: Answer the following as detailed as possible. 1. If the growth rate of a culture of bacteria is…

A: Let P is initial population of Bacterial, A is present population of bacteria in time t, We know…

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

A:

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: One sound has a decibel reading of 4.3. Another has a decibel reading of 7.1. How do the relative…

A: If x and y are any two non-zero numbers, then x = (x/y)*y and y=(y/x)*x. This implies x is x/y times…

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Given:

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present and…

A:

Q: The half -life of carbon-14 is 5,730 years. Suppose a fossil is found with 20% as much of its…

A: Given that the half-life of carbon-14 is 5,730 years. So, h=half life=5730 Let the initial amount=P=…

Q: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

A: given: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

Q: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Given: Resistance R1=0.422 ohm Diameter D1=0.01 inches Given resistance offered by a fixed length…

Q: The Population of Barangay Siksikan is increasing at a rate proportional to its current population.…

A: ⁎ Given:        The population of Barangay Siksikan i.e, increasing     at a rate proportional to…

Q: The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time…

A: Given that:   The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the…

Q: One earthquake occurred at 58° North latitude and had a magnitude of 1.4. What is the value of the…

A: The regression equation is given by y = -3.05 + 0.10x Where x = location of earthquake y = magnitude…

Q: If the rate of change in life expectancy I at birth for persons born in the United States can be…

A:

Q: The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time…

A: Here , we use the magnitude M of an earthquake is defines as M=logIS,  where I is the intensity of…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: In a particular very small region, the consumer price index, C, depends on the current value of…

Q: On December 16, 1811, an earthquake occurred near New Madrid, Missouri, that temporarily reversed…

A:

Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: In the electric current​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A:

Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

A:

Q: Many people claim that as they get older, time seems to pass more quickly. Suppose that the…

A: We have given that perceived length of a period of times is inversely proportional to  age . We have…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.