Deduction is a process of reasoning in which we explain the logicality of one statement with the help of others. Or in other words, several statements or premises help us to make a certain conclusion. In order to find the n-th element in some ordered set we should find and understand the relationship between the element, between the first and the second, between the second and the third...and so on. So , finding these relations we can conclude what is the n-th element and that is a process of deduction.
Let's figure this out by first finding the dimensions of the original rectangle, and then finding the dimensions of the new rectangle.
Original rectangle: Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.
New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm. To find the area, we multiply these two together. 21*6 = 126 square cm.
126 is 9 times greater than 14, so the area will be multiplied by 9.
6/25 - 4/5.......u should choose the lowest common denominator which is 25.
6/25 - 20/25 = - 14/25
however, even if u didn't pick the lowest....lets say u picked 50
6/25 - 4/5 = 12/50 - 40/50 = - 28/50 reduces to - 14/25...u will still get the same answer...u will just have to reduce
the reason u want to pick the lowest common denominator is because it is easier....if u do not pick the lowest, u will have to reduce....so picking the lowest just saves you time. also u can round up or down if u wanna be more smart
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. 
![\sqrt[3]{s^3}=\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B18%7D)

Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. 
![\sqrt[3]{s^3}=\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B36%7D)

Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. 
![\sqrt[3]{s^3}=\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B64%7D)

Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. 
![\sqrt[3]{s^3}=\sqrt[3]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B100%7D)

Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
0.15N
Step-by-step explanation:
Given data
Mass= 0.0056kg
distance= 4.85m
Velocity= 11.4m/s
The expression for the force is
F= mv^2/r
substitute
F= 0.0056* 11.4^2/4.85
F= 0.0056*129.96/4.85
F= 0.727776/4.85
F= 0.15N
Hence the force is 0.15N