The altitude is the mean proportional between the left and right parts of the hyptenuse
Answer: 14.1
If you put the equation into graphing calculator online or manual, you can get the graph.
A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
<h3>How to solve exponential decay function?</h3>
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
Read more about Exponential decay function at; brainly.com/question/27822382
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Answer: I got A. 768 as the answer
Answer:
GCF: 1
Step-by-step explanation:
Factors are numbers that can be evenly divided into another number. The greatest common factor of a set of numbers is the biggest number than can evenly divide into all the the numbers.
Let's list the factors of 60, 45 and 82
Factors of 60:
<u>1</u>, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 45:
<u>1</u>, 3, 5, 9, 15, 45
Factors of 82:
<u>1</u>, 2, 41, 82
The greatest factor that all 3 numbers share is 1.
