Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
I know its one of the congruent ones, as one is for sure a 90 degree angle, on top of an 180 degree angle, which by law of supplementary angles makes the other one 90 degrees. Not sure on the postulate, maybe someone else can help with that.
Answer:
53.2 gallons
Step-by-step explanation:
let 't' = tank
t + t + t/2 = 266
5/2t = 266
multiply each side by 2/5 to get:
t = 106.4
the two larger tanks can each hold 106.4 gallons
the smaller tank can hold 53.2 gallons
(-1,-3) is the smallest and (5,5) is the largest. you have to subtract them.
Answer:
72.6
Step-by-step explanation:
180-107.4 = 72.6