a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. 
gives the Johanna's velocity at time 
. The magnitude of her velocity, or speed, is 
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by 
, so his acceleration is given by 
. We have
and at 
his acceleration is 
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
Answer:
A
Step-by-step explanation:
Both equal 15,625
4 legged tables : x
3 legged stools : y
x + y = 20 y= 20 - x
4x + 3y = 68
Replace y by 20 - x so we only have one letter
4x + 3(20 - x) =68
4x + 60 - 3x =68
x + 60 = 68
x = 8
To find y replace x by 8
y = 20 - 8
y = 12
So you have 8 four legged chairs and 12 three legged stools.
Hope I helped!
Answer: x * y = 1
Explanation: The only thing that changes between the examples are the first two numbers; the final answer is always 1. This would mean that the first number (x) multiplied by your second number (y) will always answer or equal 1.
