Answer:
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.
i.e 
× × × × × = 
The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;
= × 25
= 0.390625 micrograms
He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.
Answer:
It's better to buy the bulk pack
Step-by-step explanation:
60 x 1.65 = $99
99 > 76
Answer:
d. y = -⁷/6x - 7
Step-by-step explanation:
✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):
Slope (m) = change in y/change in x
Slope (m) = (-7 - 0)/(0 - (-6))
Slope (m) = -7/6
✔️Determine the y-intercept (b):
The line intercepts the y-axis at -7. Therefore,
b = -7.
✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b
Thus:
y = -⁷/6x + (-7)
y = -⁷/6x - 7
The volume of every of the 25 cylindrical containers is 235,500/25 = 9,420 in^3
The formula for the volume of a cylinder is:
V = π(r^2).h
Where π=3.14, r = 2.5 in, V = 9,420 in^3, so you can obtain h as:
h = V / (πr^2) = 9,420 / [(3.14) (2.5^2)] = 480 in
Answer:
The answer to your question is y = -2x - 2
Step-by-step explanation:
Data
Point = (-4, 6)
slope = m = -2
Process
1.- Substitute the values in the formula point-slope
y - y1 = m(x - x1)
y - 6 = -2(x + 4)
2.- Simplify
y - 6 = -2x - 8
y = -2x - 8 + 6
3.- Result
y = -2x - 2 slope = -2
y-coordinate = -2
