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A = 11300 cm<span>2
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Hope this helps!
1 part sugar : 4 parts water
3/4 cup of sugar.
1:4 = 3/4 : x
x = 4 * 3/4
x = 12/4
x = 3 part water
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:
6,845 cans
Step-by-step explanation:
Total of 29,294 cans of food to donate to a local food bank
Students at Johnson Elementary collected 9,987 cans of food
Students at Lincoln Elementary School collected 12,462 cans of food.
Total number of food can collected =
Food cans at Johnson Elementary + Food cans at Lincoln Elementary +
Food cans at Richardson Elementary
The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )
= 29,294 cans - (9,987 + 12,462) cans
= 29,294 cans - 22,449 cans
= 6,845 cans
Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans
