Given:
After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function
To find:
Interpret the given function values and determine an appropriate domain for the function.
Solution:
The general form of an exponential function is
Where, a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.
We have,
Here, 110 is the initial value and 0.83 is the decay factor.
It means, the amount of medicine in the person's bloodstream after taking the dose is 110 milligrams and the amount of medicine decreasing in the person's bloodstream with the decay factor 0.83 or decreasing at the rate of (1-0.83)=0.17=17%.
We know that an exponential function is defined for all real values of x but the time cannot be negative. So, x must be non negative.
We know that for any value of x. So, for all values of x.
Therefore, domain of the function is and the range is .
W=L+2
A=48=L*W
48=L*(L+2)
48=L^2+L*2
0=L^2+L*2-48
L1=6
L2=-8 (can't be used since it's negative)
Lenght=6
Width=8
Answer:
0.075
Step-by-step explanation:
To convert 7.5% to a decimal you would simply divide 7.5 by 100.
1) Divide 7.5 by 100.
First evaluate the sq root of 45.
To do so, you have to find perfect square factors (2 x 2, 3 x 3, 4 x 4, and etc.)
The factors of 45 are 3 x 3 x 5.
Notice that there is a 3 x 3. That means you can get the 3 out of the square root and multiply with the number outside of the square root.
11(3)square root 5 - 4 square root 5
33 square root 5 - 4 square root 5
Subtracting and Adding square roots is the same thing as subtracting and Adding variables. If they have the same variable you can +/-. So if they have the same square root, then can +/-.
Answer: 29 square root 5