Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. I will assume the function is:
Required
Determine the rate of decay
In an exponential function ,
The decay rate of the function is calculated as:
By comparison:
So, the equation becomes:
Make r the subject
<em>The rate of decay is 0.14</em>
Answer:
The patient would receive 1.05mg of the drug weekly.
Step-by-step explanation:
First step: How many mcg of the drug would the patient receive daily?
The problem states that he takes three doses of 50-mcg a day. So
1 dose - 50mcg
3 doses - x mcg
x = 50*3
x = 150 mcg.
He takes 150mcg of the drug a day.
Second step: How many mcg of the drug would the patient receive weekly?
A week has 7 days. He takes 150mcg of the drug a day. So:
1 day - 150mcg
7 days - x mcg
x = 150*7
x = 1050mcg
He takes 1050mcg of the drug a week.
Final step: Conversion of 1050 mcg to mg
Each mg has 1000 mcg. How many mg are there in 1050 mcg? So
1mg - 1000 mcg
xmg - 1050mcg
1000x = 1050
x = 1.05mg
The patient would receive 1.05mg of the drug weekly.
Answer:
2.99 x 10⁸ meters per second
Step-by-step explanation:
Scientific notation (also called "Standard form") is written in the form of , where
and
is any positive or negative whole number.
To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>
The number of times you have moved the decimal point is the power of 10 ().
If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.
If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.
<u>To convert the given number to scientific notation</u>
The decimal point for the given number 299000000 is after the last zero:
⇒ 299000000.
Move the decimal point 8 places to the left:
⇒ 2.99000000
Get rid of the redundant zeros:
⇒ 2.99
Multiply by 10 to the power of the number of decimal places moved:
⇒ 2.99 x 10⁸
Therefore, the speed of light using scientific notation is: