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:
#9
I can't write out the whole proof here.
it bisects, so we know BCA is congruent to DCA
abc being congruent to adc is given
AC = AC because it is a singular side
AAS
then the lines are congruent by CPCTC
One third.
pam put two thirds into the bowl.
so...
cole put one third into the bowl.
one third was put into the bowl by cole.
Hope that helps = )
In exponential form it is given as, 8⁻³ = 
<u>Step-by-step explanation:</u>
We have to write the given equation in the exponential form, that is in the form of base to the power value.
Given:
log₈ ( ) = -3
Here the base is 8.
In the exponential form, it is written as,
base to the power 3 = 512
Here the reciprocal of 512 is given, so,
base to the power -3 =
So the exponential form is given as, 8⁻³ =
