The mean life of a radioactive material is the reciprocal of its decay constant. Show that 95% of a radioactive material decays approximately in a time period of 3 times its mean life.

Q: %. The percentage of women that will be able to find a shoe that fits in this store is

A: According to a human modeling project, the distribution of foot lengths of women is approximately…

Q: between 2000 and 2010, the percentage of fatal automobile accidents due to speeding decreased by 34%…

A: Given that between 2000 and 2010, the percentage of fatal automobile accidents due to speeding…

Q: From 1964 to 2014, a certain money stock measure was growing at the rate of approximately 95e0.56x…

A: Given: The growing rate of money in stock is 95e0.56x where x number of decades since 1964 To find:…

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A:

Q: What does it mean if two quantities vary directly? Explain.

A:

Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: In LP – Model, the leading variable is the basic variable associated with the……. (a) smallest…

A: It is known that, the leading variable which is also known as the pivot element is the element…

Q: What is the greatest constant of variation

A: I am attaching image so that you understand each and every step.

Q: A car travels 20 kilometers per hour faster than a second car. The first car covers 180 kilometers…

A: let the time spend in tavel is t hoursif the speed of car 1 is S1aand speed of car 2 is S2 then…

Q: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's…

A: Let P, W and H be the pelidisi, weight and height of a person respectively. Now according to given…

Q: An engineer creates a model to predict the electric consumption of a household in summer in a day…

A: # consider a linear regression model  y=b0+b1*X  b0=23 hr  & b1=1.55 hr  then to find y at x=17…

Q: The half-life of a drug in the bloodstream is 18 hours. if a 1000 mg dose is prescribed, what amount…

A:

Q: The half-life of carbon-14 is about 5730 years. a. Complete the table, which shows the amount of…

A: .

Q: Poaching refuces a population of animals by 4% per year. When the population of tis animal fals…

A: Let P0 be the current population at time 0. The depreciation rate is -4%. The function that models…

Q: Assume straight-line appreciation. Suppose an antique clock is expected to be worth $325 after 3…

A:

Q: Find the rate of change between (2,3) and (-4,-1) Rate of change =

A:

Q: Differentiate. 4) f(x) = e2x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: . Determine if the girls' average score in an exam is higher than 600. Th

A:

Q: State whether the following statement is true or​ false, and explain why. If the statement is​…

A: Given ,the economy shrank at an annual rate of 9% Let the economy=P∴ economy after four…

Q: A population of 10 hamsters will triple every year. What will be the population after 7 years?…

A: Given: A population of 10 hamsters will triple every year…

Q: Assume straight-line depreciation. Suppose a radio costs $565 when new and is expected to be worth…

A:

Q: Can you be specific about where it increases and decreases?

A:

Q: office

A: You need to just use the statement and form the integral.

Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

A:

Q: Which value in the exponential model represents something similar to the y-intercept of a linear…

A: As two questions are given , I will solve only one. If we consider the y-intercept in linear model,…

Q: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's…

A: The unit of measurement is Pelidisi, and 1 Pelidisi (P) is directly proportional to cube root of a…

Q: The population in the Philippines doubles in the last 30 years from 1956 to 1986. Assuming that the…

A: It can be solved using the given formula.

Q: measure of​ malnutrition, called the​ pelidisi, varies directly as the cube root of a​ person's…

A:

Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: From given data, X Y X*Y X*X 0 90 0 0 1 103 103 1 2 109 218 4 3 129 387 9 4 141 564 16…

Q: stimate the proportion of all households that are very satisfied from the house they are living

A: The given data represents the responses of 50 households on their satisfaction level from the house.

Q: According to the latest social media research, the rate on which the number of share of a particular…

A: Given that, the initial shares are N0=10. It is known that, the formula for the integral form of…

Q: Global warming is causing the temperatures around the world to rise. If the average temperature of…

A: The exponential growth can be modelled using the equation f(t)=a1+rt. Here, r is the rate of growth…

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: A pharmacist estimates that a chemotherapy drug produces a 75% improvement in lung cancer patients.…

A: Solution

Q: Use the model to estimate the profit in `1989 y =

A: Given, Y = -0.08 X+ 21.70 where, Y represents profit for a certain company  X represents years after…

Q: The rate of vibration of a stringunder constant tension varies inversely with the length ofthe…

A: Consider the given length L1=48inch and n1=256, n2=576

Q: The population of Town B decreases by 48% every 7 years. What is the annual percent change in the…

A:

Q: The shelf life of a perishable commodity varies inversely with the storage temperature. If the shelf…

A: Shelf life of a perishable commodity≈1storage temperature   At 10 degrees C:                  Shelf…

Q: What does it mean if two quantities vary directly?

A: What does it mean if two quantities vary directly?

Q: The median annual income for workers aged 25 or older in the United States in 2014 was $48372 for an…

A: Given Data The annual income for an associate’s degree is: A=$48372 The annual income for a…

Q: the area of a triangle varies jointly as its base and its height. If the base is increased by 10%…

A:

Q: Find an equation to represent the current salary after     x years of employment if the starting…

A:

Q: If a radioactive element has a​ half-life of ​4 hours, then x grams of the element dwindles to x/2…

A: If a radioactive element has a​ half-life of ​4 hours, then x grams of the element dwindles to x/2…

Q: Suppose the length of a salamander is directly proportional to the cube root of its body mass…

A: Given that : The Length of a salamander is directly proportional to the cube root of its body mass…

Q: In 2000, 31% of U.S. adults viewed a college education as essential for success. For the period from…

A:

Q: ) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents hear ne…

A: Solution The total population of the city is 150, 000. Let the number of people who have heard the…

Q: Find the average rate of change    4x^2-7 on [1,b]

A: Formula used:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.