Answer:
nx^(n-1).
Step-by-step explanation:
d/dx (x^n)
We multiply by n than subtract 1 from the exponent (n):
= n x^(n-1)
Numerical examples:
d(x^3) dx = 3 * x^(3-1)
= 3x^2.
d(2x^5)/dx = 5*2 x^(5-1)
= 10x^4.
Answer:
1.19
Step-by-step explanation:
f=- Frisbee
10f=11.90 [ :10
f =1,19
Answer:
Area of this parallelogram: 35.
Step-by-step explanation:
What's the equation for the area A of a parallelogram?
A = b · h,
where
- b is the length of the base, and
- h is the length of the height <em>on that base</em>.
Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.
The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base <em>b</em> is h = 4 - (-1) = 5.
Area of this parallelogram:
A = b · h = 5 × 7 = 35.
I'm not sure if that's what you mean, but I assume you might want to know how long did it take to make one lap if someone did 21 laps in 7 minutes.
If so, just divide 7 by 21:
7 ÷ 21 = 0.3333333... (repeating decimal) or 1/3 as a fraction.
It means that one lap took 1/3 of a minute (20 seconds).
If that's not what you meant, please specify the question :)
18 - 25 = -7
11 - 18 = -7
4 - 11 = -7
The common difference is -7.