Adose of a drug is 20 mg/kg. the patient weighs 23 kg. use dimensional analysis to determine how many mg of the drug this patient should receive

460 mg drug is required for the patient whose weight is 23 kg .

Step-by-step explanation:

It is given that a dose of a drug is 20 mg/kg.

It means for 1 kg weight 20 mg drug is required.

The ratio of drug and weight is

The weight of a patient = 23 kg

Let x mg drug is required for the patient whose weight is 23 kg. The ratio of drug and weight is

Equate both ratios.

On cross multiplication we get

Therefore, 460 mg drug is required for the patient whose weight is 23 kg.

probably .5

i can on others if necessary.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.