Answer:
The equation is .
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that
So
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
0.4713 grams would remain in the tumor after 8.5 days.
The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:
.
Thus, the slope in A is
.
The slope in B is
.
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A
The graph for
f(x) = sin x
is a sinusoidal graph with the origin as the middle point and the value increases up to the maximum point before going down crossing the x-axis and reaching the minimum point before increasing again until it crosses the x-axis. The graph continues as a wave on both sides indefinitely.
f(x) = 3 sin 4x
has an amplitude of 3 or the highest point is 3 and a period of
Period = 2π/4 = π/2
f(x) = 3 sin 4x + 2
the graph is shifted 2 points upward.
The best equation that best fits the graph is y=20x+20(Choice B).
The estimate score for a student that spent 3.8 hours studying is about 96.
Hope this helps ;)
Answer:
Point B is at (3,3)
Step-by-step explanation:
the mid point is (2,5) and A is at (1,7)
first find the slope:
y1 - y2/x1 - x2
7 - 5/1 - 2
2/-1
-2/1
then go down 2 units and right 1 unit from (2,5):
(2 + 1, 5 - 2) => (3,3)