Answer:
the following are all equal
3/5 (x1)
6/10 (x2)
9/15 (x3)
12/20 (x4)
Answer:
p(t) = 100%·2^(-t/1.32)
Step-by-step explanation:
The equation for exponential decay is ...
(remaining amount) = (initial amount)·2^(-t/(half-life))
Here, we can represent the percentage remaining by p(t) and the initial amount by 100%. Then, for a half-life of 1.32 minutes, the amount remaining is ...
p(t) = 100%·2^(-t/1.32) . . . . . where t is in minutes
_____
Alternate functional forms are possible, such as ...
p(t) = 100%·e^(-0.525112t)
p(t) = 100%·0.591489^t
Answer:
fg t f h 10
Step-by-step explanation:
The factory can pack 81 bears into 9 large boxes so 4 bears go into the small box.
Answer:
C. y = -2/3x +22/3
Step-by-step explanation:
You can choose the correct answer by realizing that the line must have a y-intercept greater than 6. The given point is (2, 6) and the line goes up and to the left from there. The y-intercept is obviously more than 6.
The only reasonable answer choice is ...
y = -2/3x +22/3 . . . . . a y-intercept of 7 1/3
_____
There are a lot of ways to work problems like these. One is to write the equation of the line, then match that to the answer choices.
Another is to eliminate all the "impossible" answer choices, then choose the appropriate one from what's left. (The given line has a negative slope, eliminating choices A and B.)
I like to use the simplest method that will determine the correct answer. Here, that involves reading and understanding the question to obtain some idea of where the desired line must appear on the graph.
Of course, it helps to know that "slope-intercept form" is ...
y = mx +b . . . . . . m represents the slope; b is the y-intercept
