Answer:
It will take 25.6 years for the mass of the sample to reach 400 grams.
Step-by-step explanation:
Element X is a radioactive isotope such that every 25 years, its mass decreases by half.
This means that the amount of the substance after t years can be modeled by a function in the following format:
In which A(0) is the initial amount.
Initial mass of a sample of Element X is 910 grams.
This means that
So
How long would it be until the mass of the sample reached 400 grams?
This is t for which
So
It will take 25.6 years for the mass of the sample to reach 400 grams.
Answer:
ITSS C!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
The graph I have selected would be classified as an inverse.
Step-by-step explanation:
Answer:
21, 24, 29
5
Step-by-step explanation:
The first term is when n = 1.
(1)² + 20 = 21
The second term is when n = 2.
(2)² + 20 = 24
The third term is when n = 3.
(3)² + 20 = 29
To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:
n² + 20 = 50
n² = 30
n ≈ 5.477
Rounding down, n = 5 is the last term that is less than 50.
Therefore, there are 5 terms in the sequence that are less than 50.
Answer:
x^2 - 2x - 3
Step-by-step explanation:
(x+1) (x-3)
x^2 - 3x + x - 3
x^2 - 2x - 3