9514 1404 393
Answer:
y = -16x² +180
Step-by-step explanation:
The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...
y = a(x -0)² +180
The value of 'a' can be found using the other given point. Substituting for x and y, we have ...
164 = a(1 -0)² +180
-16 = a
Then the complete simplified vertex form equation is ...
y = -16x² +180
Answer:
the answer will be 7.5 feet
Step-by-step explanation:
A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
t: m:
0 32 g
15 16 g
30 8 g
45 4 g
60 2 g
75 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )
The probability of losing per flip is 1/2. Multiply 1/2 by itself 6 times since the condition is asking for the probability for the person to lose 6 times in a row. 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/64. The answer is 1/64.