Answer:
<em>(a) 40 milligrams</em>
<em>(b) 1.21 milligrams</em>
Step-by-step explanation:
<u>Exponential Function</u>
It's commonly used to model real situations in life, like this one proposed in the question where the number of milligrams of a drug D(h) in a patient's bloodstream h hours after the drug is injected is modeled by the following function.
(a) The initial amount injected to the patient can be found when h=0
Initial amount: 40 milligrams
(b) Let's plug h=7
D(7) =40e^{-0.5(7)}=40e^{-3.5}=1.21
The amount in the bloodstream after 7 hours is 1.21 milligrams
Answer:
Fiona is correct. Meghan is incorrect.
Step-by-step explanation:
An equation is a mathematical statement consisting of two sides and an equal sign equating those two sides. Each side comprises an <em>expression</em>. An equation is a statement because it claims the two expression equal. This may be true, or false, or true for only certain values of variable appearing in the expression. However, an equation is distinctly different from a simple expression.
Answer:
Point J is in quadrant II.
Step-by-step explanation:
The quadrants are numbered starting with the top right hand corner. That would be quadrant I. After that, we go counter clockwise in order to continue numbering. Since J is in the one that is next in order, it would be in quadrant II.
Answer:
(-4,-8)
Step-by-step explanation:
You subtract 9 from the x coordinate because that it the coordinate that moves the point left or right.
5-9=-4
The angle that is between the segments NM and PN is the angle that their segments form. If we take away the side PM (in our heads), we can see that the angle formed is angle N, or angle PNM.
