You have to estimate the slope of the tangent line to the graph at <em>t</em> = 10 s. To do that, you can use points on the graph very close to <em>t</em> = 10 s, essentially applying the mean value theorem.
The MVT says that for some time <em>t</em> between two fixed instances <em>a</em> and <em>b</em>, one can guarantee that the slope of the secant line through (<em>a</em>, <em>v(a)</em> ) and (<em>b</em>, <em>v(b)</em> ) is equal to the slope of the tangent line through <em>t</em>. In this case, this would be saying that the <em>instantaneous</em> acceleration at <em>t</em> = 10 s is approximately equal to the <em>average</em> acceleration over some interval surrounding <em>t</em> = 10 s. The smaller the interval, the better the approximation.
For instance, the plot suggests that the velocity at <em>t</em> = 9 s is nearly 45 m/s, while the velocity at <em>t</em> = 11 s is nearly 47 m/s. Then the average acceleration over this interval is
(47 m/s - 45 m/s) / (11 s - 9 s) = (2 m/s) / (2 s) = 1 m/s²
Answer:
He can make 12 batches of pancake
Step-by-step explanation:
Total amount of milk = 9 cups
One batch of pancake uses 3/4 cup of milk.
y batch of pancake uses 9 cup of milk.
Therefore ( y ) x (3/4) = 9

Answer:
The tip is $12
Step-by-step explanation:
78 rounds up to 80.
15x80=1200.
1200/100=12.
-- Driving at 30 mph for 20 minutes (1/3 hour), you cover 10 miles.
-- Walking at 3 mph for 10 minutes (1/6 hour), you cover 0.5 mile.
-- Average speed = (total distance covered) / (time to cover the distance)
= (10.5 miles) / ( 1/2 hour)
= 21 miles per hour.
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54