We have been given that ∠Q is an acute angle such that
. We are asked to find the measure of angle Q to nearest tenth of a degree.
We will use arctan to solve for measure of angle Q as:

Now we will use calculator to solve for Q as:

Upon rounding to nearest tenth of degree, we will get:

Therefore, measure of angle Q is approximately 2.3 degrees.
Sarah had 37 grapes to begin with
40-3=37
37,
It is thirty seven, use a calculator
An exponential model can be described by the function

where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model

n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>