Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

convert 572,000 into scientific notation. none are correct 0.572x10^-5 …

Question

convert 572,000 into scientific notation.
none are correct
0.572x10^-5
5.72x10^-5
57.2x10^5
5.72x10^5
question 6 (3 points)
if the dosage of a drug is 15mg/kg, how many mg of drug would a 65 kg person recieve?
none are correct
2145 mg
975 mg
0.23 mg
4.33 mg

Explanation:

Question 1:

Step1: Recall scientific - notation form

Scientific notation is $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.

Step2: Move the decimal point

For the number 572000, move the decimal point 5 places to the left to get $a = 5.72$. Since we moved the decimal point 5 places to the left, $n=5$. So, $572000 = 5.72\times10^{5}$.

Step1: Identify the formula

The amount of drug $A$ is given by the formula $A=\text{dosage}\times\text{weight}$.

Step2: Substitute the values

The dosage is $15$ mg/kg and the weight is $65$ kg. So, $A = 15\times65=975$ mg.

Answer:

E. $5.72\times10^{5}$

Question 2: