0.5%=0.005
0.005x8=0.04
0.04 is 0.5% of 8.
Answer:
(B) 
General Formulas and Concepts:
<u>Calculus</u>
Limits
Derivatives
- The definition of a derivative is the slope of the tangent line.
Derivative Notation
Instantaneous Rates
- Tangent Line:

Step-by-step explanation:
Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.
We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:
- (A)

- (B)

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
The bananas are not an equal number so you would not have the same amount unless you take one out.
Answer:
The train need to leave Portland at 03:27 am
Step-by-step explanation:
step 1
Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California
Remember that
The speed is equal to divide the distance by the time
so
The time is equal to divide the distance by the speed
Let
s ---> the speed in miles per hour
d ---> the distance in miles
t ---> the time in hours

we have


substitute

step 2
Adds 30 minutes (time it takes to get from the train station to her aunt's house)
Remember that


Convert to minutes

step 3
Remember that

Convert to minutes

Subtract 993 minutes from 1,200 minutes

Convert to hours+minutes


so


therefore
The train need to leave Portland at 03:27 am
Answer:
Area of a triangle is base times height divided by 2. The formula for finding the area of a parallelogram is easiest to just break it down into two triangles and 1 square/rectangle. Then just find the area of all then add them together to get the final area.