Answer:
Step-by-step explanation:
Answer: 197
Step-by-step explanation:
The nth term is 3n+5
so the 64th term will be
(3 x 64)+5
192+5
= 197
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: 3:00 4:00
Step-by-step explanation:
I’m to lazy to say why but trust me
Answer:
Half Life
Step-by-step explanation:
Cells decay by half of how much they decayed last time. This is an example of exponential decay.