Answer:


Step-by-step explanation:
La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

Sabiendo que la apotema es 7.464 el lado sera:



Por otro lado el area de un dodecágono regular esta dada por:



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Answer:
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Step-by-step explanation:
Answer:
D.
The length of the granite must be less than 120 inches.
Step-by-step explanation:
Let x inches be the widht of the section. If the length is 3 times the width, then the length is 3x inches.
The perimeter of the rectangle is

Hence,

The perimeter of the section must be less than 320 inches, so

Answer:
<h2>There are 664 diet soda</h2>
Step-by-step explanation:
Step one:
given data
total soda= 913
we are told that the ratio of diet sodas to regular sodas is 8:3
this means that for every 8 diet soda there is 3 regular soda
the total ratio is 8+3=11
Step two:
we are going to use part to all principle
let the diet soda be x
8/11=x/913
cross multiply
11x=913*8
divide both sides by 11
x=913*8/11
x=7304/11
x=664
There are 664 diet soda
Answer:
a. dQ/dt = -kQ
b. 
c. k = 0.178
d. Q = 1.063 mg
Step-by-step explanation:
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
Let Q be the quantity of drug left in the body.
Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then
-dQ/dt ∝ Q
-dQ/dt = kQ
dQ/dt = -kQ
This is the required differential equation.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
with t = 0, Q(0) = 9 mg
dQ/dt = -kQ
separating the variables, we have
dQ/Q = -kdt
Integrating we have
∫dQ/Q = ∫-kdt
㏑Q = -kt + c

when t = 0, Q = 9

So, 
c) Use the half-life to find the constant of proportionality k.
At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours
So,

taking natural logarithm of both sides, we have
d) How much of the 9 mg dose is still in the body after 12 hours?
Since k = 0.178,

when t = 12 hours,
