Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;

Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
Answer:
Radius=3.67
Step-by-step explanation:
The screenshot shows the answer of the radius beng 3.67cm.
The answer is C. 57 Minutes. I am pretty sure that’s correct.
Answer:
Let p be the the elevation of a passage in meters
An inequality that represents elevations below -8 meters is
p less than -8 meters. Mathematically,

<h3><u>p<-8</u> is the right answer.</h3>
Answer:
D) Standard deviation is 5.41
Step-by-step explanation:
We are given
count N = 9
Sum ∑xi = 113
Mean = ∑xi /N = 12.55
Standard deviation =
where i = 1 to 9
upon substituting the values we get
Standard deviation =
= 5.41