Answer:
Number of weeks in a year = 52 weeks
If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for
Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.
Then in a year Jim's dog would get
So Jim's dog will get 17- 13 =4 treatments more.
4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment
It is already simplified, three goes into three once but three cant go into 32 without there being a remainder.
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.
Step-by-step explanation:
As the weight of the child is given as 27 lbs. Converting it to kgs as
1 kg =2.2042 lb
So 27 lbs=27/2.2042 kg
The weight of the kid in kg is 12.247 kg.
As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as
Recommended dosage=0.3*12.247 =3.67 mg per day
As the concentration is given as 2 mg/5mL
So for each dose the solution is found as
Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL
So the solution required per dosage is 3 mL
Now for the solution required per day is given as
Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL
So 9.175 mL of solution is required for the recommended dosage in a day.