The recommended dosage of iodine-131 is 4.20 \mu{\rm Ci/kg} of body weight. How many microcuries of iodine-131 are needed for a 84.0 {\rm kg} patient with hyperthyroidism?

I don't think you can expect much help with your brand of symbolism.

well you don't have to be rude!

Excuse me, but I'm not being rude. I'm trying to help. If we can't read your post we can't help. Is this accurate?

The recommended dosage of iodine-131 is 4.20 microcuries/kg} of body weight. How many microcuries of iodine-131 are needed for a 84.0 kg patient with hyperthyroidism?

To calculate the required microcuries of iodine-131 for a patient with hyperthyroidism, you need to multiply the recommended dosage (in microcuries per kilogram) by the patient's body weight in kilograms.

Given:
Recommended dosage of iodine-131 = 4.20 μCi/kg
Patient's body weight = 84.0 kg

To find the required microcuries of iodine-131, you can use the following formula:

Microcuries of iodine-131 = Recommended dosage × Patient's body weight

Plugging in the values:

Microcuries of iodine-131 = 4.20 μCi/kg × 84.0 kg

Now, you need to perform the multiplication:

Microcuries of iodine-131 = 352.8 μCi.

Therefore, a 84.0 kg patient with hyperthyroidism would require 352.8 microcuries of iodine-131.