<h2>
Hello!</h2>
The answer is: The correct dose of medication to give is 5.6 mL
<h2>
Why?</h2>
To solve this problem we need to establish a relationship between the prescripted medication and the available solution.
Let's write the needed equations to establish the relantionship:
The available solution means 125 mg each 5 mL of solution, so:
Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.
Have a nice day!
Answer:
Step-by-step explanation:
To find:
The value of 
= ?
Solution:
Kindly consider the equilateral 
as attached in the answer area.
Let the side of triangle = 
units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC = 
Using Pythagorean Theorem in 
:
Side AD = 
Using Trigonometric ratio:
Putting the values of AD and BD:
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
