Answer:
<u>The correct answer is A. 1/8</u>
Step-by-step explanation:
<u>Let's solve (1/3 * 9/16) / 1 1/2 = x</u>
(1/3 * 9/16) / 1 1/2 = x
9/48 / 1 1/2 = 9/48 * 2/3 = 18/144
18/144, we can simplify dividing by 18 at the numerator and the denominator, this way:
x = 18 ÷ 18/ 144 * 18 = 1/8
<u>The correct answer is A. 1/8</u>
To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
3. Both are supplementary to angle BCE
4. Angle 2 = Angle 1
Answer:
C= 82.1116
k=-0.0007192
Step-by-step explanation:

Applying logarithmic properties yields in the following linear system:

Solving for k:

Solving for C:

C= 82.1116
k=-0.0007192