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:
The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Step-by-step explanation:
The diameter of a larger circle = d = 40 cm
r = d/2 = 40/2 = 20 cm
The area of the larger circle = πr²
= 3.14 (20)²
= 3.14 × 400
= 1256 cm²
The diameter of a smaller circle = 20 cm
r = d/2 = 20/2 = 10 cm
The area of the smaller circle = πr²
= 3.14 (10)²
= 3.14 × 100
= 314 cm²
Thus,
The area of the larger circle = 1256 cm²
The area of the smaller circle = 314 cm²
Therefore,
The ratio of the area of the larger circle to the area of the smaller circle will be computed as:
reducing the ration into a simpler form
Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Answer:
The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
Step-by-step explanation:
See the graph attached.
It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.
Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.
So, the dragonfly will travel 528 miles. (Answer)
I’m guessing that the answer is 3
( I don’t see anything)
Answer:
Step-by-step explanation:
