Answer:
1.97 ounces
Step-by-step explanation:
-The exponential decay function is given by the formula:
Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:
#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.
#We substitute and solve for the amount remaining after 21days of decay:
Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces
using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.
<h3>What is the Law of Sines?</h3>The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.
Given the following:
Apply the law of sines
sin 30/25 = sin 65/H
H = (sin 65 × 25)/sin 30
H ≈ 45 ft.
Learn more about the law of sines on:
#SPJ4
Given:
The sequence is:
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
The ratio between two consecutive terms are:
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio .
The explicit formula of a geometric sequence is:
Where, a is the first term and r is the common ratio.
Putting in the above formula, we get
We need to find the 16th term. So, put in the above formula.
Therefore, the explicit formula for the given sequence is and 16th term of the given sequence is
.