Answer:
a.
Step-by-step explanation:
because > means at most < means at least
Answer:
Debbie runs 9 feet per second: 9 ft/s
Jessica runs 1 mile in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s
jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s
ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s
Since:
11 11/47 > 10 1/20 > 9 > 8 7/25
Emily runs the fastest.
Answer:
(-2,1)
Step-by-step explanation:
Just identify what point on the graph the lines intersect.
a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

so that


b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is
. Then its displacement over the time interval [0, 3] is

c) The total distance traveled is the integral of the absolute value of the velocity function:

for
and
for
, so we split the integral into two as



Answer:
8/11 cup of flour
Step-by-step explanation:
2/11 cup of flour = 4/16 of the recipe
=> 2/11 cup of flour = 1/4 of the recipe
=> 4 x 2/11 cup of flour = 1/4 x 4 of the recipe
=> 8/11 cup of flour = full recipe
Therefore, it would require 8/11 cups of flour to make this recipe.
Hoped this helped.