Answer:
B. 1/384
Step-by-step explanation:
a1=1/3
a2 = 1/6
The constant factor is 1/2
a1=2/3*1/2
a2=2/3*1/2^2
a8=2/3*(1/2)^8
2/3*1/256
Hi there!
To solve this problem, we need to subtract 5:50 from 4:15 pm.
5:50 - 4:15
= 6:00 - 4:15 - 0:10
= 6:00 - 4:00 - 0:10 - 0:15
= 1 hr 35 min
So, your answer would be 1 hr 35 min.
Hope this helps!
You must find the change in y divided by the change in x, the rate of change, for the given data points.
dy/dx=(9-10)/(4-2)=(8-9)/(6-4)=(7-8)/(8-6)=k=m=-1/2
Since the rate of change is constant this is a linear function.
So as your answer choices put it, it is linear because it decreases at a constant rate.
First: Equations are solved. 
is an expression, and expressions can be simplified.
Now suppose 
. Imagine a right triangle with one angle (not the one opposite the hypotenuse, of course) labeled 
. This relation suggests that
and under the hood, we're assuming that 
, because otherwise we wouldn't be able to properly alternate from 
to so seamlessly.
Now,
so the given expression is the same as the tangent of that same angle .
If , then in the triangle, the leg opposite the angle occurs with the length of the hypotenuse in a ratio of to 2. By the Pythagorean theorem, the remaining side - call it 
- satisifies
and we have
