Answer:
a. N(t) = 1.25 (1/2)^t/7
b. 0.1160933038mg.
Step-by-step explanation:
The formula for half life =
N(t) = No(1/2)^t/t½
Where N(t) = Amount of Substance left
No = Initial amount not Substance
t = time after t years
t½ = Half life of the substance
From the question:
No = 1.25mg
t½ = 7 years
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
N(t) = No(1/2)^t/t½
No = 1.25mg
t½ = 7 years
N(t) = 1.25 (1/2)^t/7
b. How much albuterol is left in the body after 24 hours?
Using the model in the above question
N(t) = 1.25 (1/2)^t/7
N(t) = 1.25(1/2)^24/7
N(t) = 1.25(0.5)^3.4285714286
N(t) = 0.1160933038mg
Therefore, the quantity of albuterol left in the body after 24 hours is 0.1160933038mg.
Answer: the third option m(x) = - 7x
Justification:
1) For a function to have inverse function, the original function has to be one to one. This is for the original function two (or more) images cannot have different inputs. That condition is satisfied by the function m(x) = - 7x, since it is a straigh line.
2) the function b (x) = x^2 + 3 is a parabola. That means that, except by the vertex, every image is realated with two inputs.
For example, b(x) = 103 => x^2 = 103 - 3 = 100 => x = 10 and x = -10.
3) For the function d(x) = - 9, you cannot tell the input value for the image because it is the same image for any value of x.
4) The function p(x) = |x| also has a pair of images for the same value of x (excpet for the vertex).
For example, for x = - 100 and x = 100, p(x) = 100, so you cannot tell the x value given the p(x) value.
Answer:
12 inches
Step-by-step explanation:
A=1/2bh
30=1/2b5
(30*2)/5=b
B=12
Answer:
33
Step-by-step explanation:
area of large triangle = 117
117-(30)-(12*5/2)-(8*6/2)
= 33