Answer:
(a) dy/dt = 68 - 3.72t
(b) 64.28m/s
Step-by-step explanation:
Given y = 68t - 1.86t²
Average Speed is rate of chance of distance with respect to time. Written as dy/dt
To obtain dy/dt, we differentiate y with respect to t, doing that, we have
dy/dt = 68 - 2(1.86)t
= 68 - 3.72t
(a) dy/dt = 68 - 3.72t
(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .
dy/dt at t = 1 is
68 - 3.72(1)
= 68 - 3.72
= 64.28
The speed at t = 1 is 64.28m/s
Answer:
A
Step-by-step explanation:
because the answer is A
Answer:
The side length is 9 m
Step-by-step explanation:
The area of a square is given by
A = s^2
81 = s^2
Take the square root of each side
sqrt(81) = sqrt(s^2)
9 =s
The side length is 9 m
Answer:
4.4 years corresponding to 4 years and 5 months (more or less)
Step-by-step explanation:
<span>The correct answers are A) 7.4 km/hr and B) 81.2 in/s.
Explanation:
A) The original ratio is 1 mi/13 min. We know that 1 mi = 5280 feet, so we have 5280 ft/13 min.
Each foot is 12 inches, so we have 5280*12 = 63360 in
63360 in/13 min
Each minute is 60 seconds; 13*60 = 780
63360 in/780 sec.
Dividing this, we get 81.2 in/sec.
B) 1 mi/13 min; 1 mile = 1609 m, so we have 1609 m/13 min.
1 m = 1000 km, so 1609 m = 1609/1000 = 1.609 km; this gives us 1.609 km/13 min.
An hour is 60 minutes, so we have 1.609 km/(13/60) hr; dividing this, we get 7.4 km/hr.</span>
