The helf life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 10 days

Q: Write the equation of the graphed exponential function in the form f (x) = a(b)*

A: Given,

Q: Write as a single logarithm simplify and condense as much as possible

A:

Q: 3 log32 8 = 5

A:

Q: Determine whether the following equation represents an exponential growth or exponential decay.…

A: The equation given is y=199·(0.08)x. Exponential growth means when the successive function values…

Q: The population of a Midwestern city decays exponentially. If the population decreased from 900,000…

A: Given data is : Population in 2003 is 900,000 Population in 2005 is 800,000 To find the population…

Q: Write an exponential function  y = abx  for a graph that passes through  (2, 1)  and  (3, 10).

A:

Q: A deli sandwich is placed inside a cooler. As the sandwich cools, its temperature Ct in degrees…

A: The temperature of sandwich after t minutes is given by: C(t)=230.89t

Q: Write an exponential function for the graph that passes through the points (0, -3) and (4, -48).

A:

Q: Find the exponential function for a graph that goes througn the points (0,-4) and (-1,0) and (-3,3)

A: Find the exponential function for a graph that goes througn the points (0,-4) and (-1,0) and (-3,3)

Q: The value of a coin collection has increased by 3.25% annually over the last 20 years. Determine…

A: If the growth is exponential the quantity increases over time and the rate of change is constant…

Q: Determine whether the values in the table belong to an exponential function, a logarithmic function,…

A: We need to Determine whether the values in the table belong to an exponential function, a…

Q: Write an exponential function ab* whose graph passes through (1, 3) and (2, 15).

A: Given exponential function y=abX . It passes through the points (1,3) and (2,15). Substitute these…

Q: In 2017, the population of a district was 20,800. With a continuous annual growth rate of…

A: Given: In 2017, the population of a district was 20,800. A continuous annual growth rate is of…

Q: Write an exponential function that represents a car valued at $12,000, losing 5% of its value each…

A:

Q: Describe the graph of an exponential function that has 0 < b < 1.

A: Please find attachment for the details solution

Q: Calculate without using a calculator. log5(54)

A:

Q: a scienhst begins with 100 milligrams of a radioactive subtance that dicays exponentially. After 35…

A: Topic:- exponential decaying function

Q: Calculate without using a calculator. log3 27

A: Write 27 as exponent of 3. 27=3^3

Q: What is the domain of this exponential function?

A: Domain of an exponential function is all real number

Q: Write an exponential function whose graph passes through the given points. (0, 15) and (1, 12)

A: See the attachment

Q: Write an exponential function in the form y = ab" that goes through points (0, 4) and (5, 128).

A:

Q: Write equation in its equivalent exponential form   logb64=2

A: This equation represents the equivalent exponential form.

Q: Write an exponential function in the form y ab" that goes through points (0, 7) and (5, 1701).

A:

Q: Write an exponential function in the form ab" that goes through points (0, 18 and (? 0216)

A: Solution of the problem as follows

Q: Because carbon-14 decays exponentially, carbon dating can determine the ages of ancient…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Suppose a $40,000 car loses 13% of its value each year. Write an exponential equation and use it to…

A: Given- $40,000 , and its loses 13% of its value each year. To find-  In how many years (to the…

Q: Calculate without using a calculator. log64 4

A:

Q: Find an equation for an exponential passing through the points (4, 1200) and (11, 1900).

A: here we find the exponential equation by using  y=abx  by using points (4,1200) and (11, 1900)

Q: Write the formula for an exponential function whose graph passes through the following two points…

A: Given an exponential function whose graph passes through the following two points (1,12) and (3,108)…

Q: Create an equation for the exponential function in the table below.

A:

Q: A petri dish currently has a population of 10 bacteria and the population doubles every year. Write…

A:

Q: Write the equation 5 = logb 32 in its equivalent exponential form.

A: Our Aim is to write the equation logb32=5 -(i) in its equivalent exponential form.

Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: We have to find how long will it take for the drug to decay to 88​% of the original​ dosage using…

Q: Which table best represents an exponential function

A: Given, To find table that represent exponential function

Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: Write an exponential function in the form y = abª that goes through points (0, 16) and (7, 2048).

A: First point (0, 16)  Therefore, x = 0 and y = 16   Second point (7, 2048)  Therefore, x = 7  and y =…

Q: Click all equations that are Exponential decay. *

A: We know that,         The equation in exponential decay function is given by             y=a1-rx ;…

Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: log0.25

A:

Q: Determine whether the given statement makes sense or does not make sense, and explain your…

A: It is given that, the rate of carbon-14 decays exponentially.

Q: Calculate log_10(5)

A: calculate: log_10(5)

Q: The value of an electronic device is currently $100, and the value is decreasing exponentially by…

A: Given: The value of electronic device is currently $100, and the value is decreasingexpotentially by…

Q: Soon after taking aspirin, a patient has absorbed  300 milligrams of the drug. After 2 hours, only…

A: Let ‘x’ denotes the amount of aspirin in bloodstream after ‘t’ hrs. The exponential model which…

Q: Write an exponential function that goes through the points (1,2) and (3,32)

A:

Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 30 minutes. Assuming the…

A:

Q: Construct the exponential function that contains the points (0, –5) and (4, –80) -

A:

Q: Write an exponential function y = ab² whose graph passes through (3, 108) and (5, 972).

A:

Q: Write an exponential function for you but a house for 350,000 and it’s value declines at a…

A:

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.