Answer:
4589.75J
Step-by-step explanation:
Kinetic energy = 1/2 x M x v^2
Given
Mass M = 55.0kg
V = 12.92m/s
Kinetic energy
= 1/2 x 55.0 x (12.92)^2
= 1/2 x 55.0 x (12.92 x 12.92)
= 1/2 x 55.0 x 166.9
Multiply through
= 9179.5/2
= 4589.75J
If you have access to a TI-83 or 84-Plus calculator, try the following command:
binompdf(10, 0.25, 4). The output I get is 0.1460. Thus, the probability of getting a "4" is 0.1460.
If you do not have such a calculator, you may be able to find this result in a binomial probability table. Look for the table for n=10. It lists the possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. In the column labeled 0.25 (the binomial probability), find the probability of getting a "4."
Assuming the shape is a piece of a circle, you can determine the ratio of the shape to a full circle. A full circle will have 360 degree but this shape is only 40 degree. Then the ratio would be: 40/360= 1/9 full circle.
Then, using the circle area formula, the area of the 1/9 circle would be:
full circle area= pi * r^2
full circle area= 22/7 * 6^2
full circle area= 792/7
1/9 full circle area= 792/7*9= 88/7 = 12.57
Y = 7^3 + 1 is a constant value, all of the others include an x variable in the form of a linear function.
That is the pH scale
pH = - log of the concentration of hydrogen ions in a solution.