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
Since the nickles are first and there are (1.00 /.05= 20) 20 nickles in a dollar the first number is 20 then next is quarters and there is (1.00 / .25= 4) 4 quarters in a dollar so the second number is 4 so now u have to simplify if you were told to
the number 20 can be divided by 4 and the answer is 5 the number 4 is next divide by 4 and is 1 so the whole answer is <u>5 to 1 or 5:1</u> <u /><u />
Answer:
The top one
Step-by-step explanation:
Just count how many are in each catagory
Answer:
lets start with the easy equation. X+Y=60. so we take 60 and subtract Y to get X by itself. meaning X = 60-Y. every time we see X replace with (60-Y).
X + 5Y = 100 change to
60-Y+5Y = 100
5Y - Y = 4y.
60+4Y = 100. 100 minus the 60 = 40. 4Y=40. divide by 4. Y = 10. ok so now we solve for X. X + Y (or 10) = 60. 60-10 = 50. X = 50.
Step-by-step explanation:
You will divide by 2 on each sides then x will be your answer
So x is greater than or equal to 4
