Allen built these figures using triangular tiles. What would
2 answers:
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Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
Add 2 to both sides
Divide both sides by 2
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
Answer:
It would take 24 minutes for the element to decay to 50 grams
Step-by-step explanation:
The equation for the amount of the element present, after t minutes, is:
In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.
Half life of 12 minutes
This means that
So
If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?
This is t when Q(t) = 50. Q(0) = 200.
It would take 24 minutes for the element to decay to 50 grams