9514 1404 393
Answer:
p = 0
Step-by-step explanation:
The graph is of an exponential function. An exponential function always has a horizontal asymptote of 0.
p(t) = 5×2^t
p(t) → 0 as x → -∞
The horizontal asymptote is p = 0.
Answer:
B. 
Step-by-step explanation:
Total paper in the hat:
2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper
P(AB) = 7 / 25 x 2 / 25
A is the probability of pulling a purple paper
B is the probability of pulling a blue paper
There is a slight flaw. She is only correct if all three points are on the same line.
If S is on segment RT, then segment RT can be broken up into RS and ST. Through the segment addition postulate, we can then say
RS+ST = RT
So put another way, Michaela's claim is only true if angle RST is 180 degrees.
However, if angle RST is some other angle, then saying RS+ST = RT is not correct. So Michaela needs to clarify that point S is on segment RT. Or she could say that all three points are on the same straight line.
A diagram is provided below.
Side note: in the figure on the right, RS+ST adds up to something larger than RT. This is due to the triangle inequality theorem. That theorem states that adding any two sides of a triangle adds to something larger than the third remaining side.