Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
Mass = 1.3 Kilograms
The answer is 70/100ths i am pretty sure
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
<u>Commutative property of Addition:</u>
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
General formula to make an equation of circle
(x - a)² + (y - b)² = r²
Given:
the center (a,b) = (-1,2)
the radius r = 3
Solution:
plug the numbers to the formula
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
The answer is the last option
Answer:
K(x) = ![\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B%5B1%20%2B%20%28-10x%29%5E2%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = 
first Determine the value of F'(x)
F'(x) = 
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = 
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) ![= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%7Cf%22%28x%29%7C%7D%7B%5B1%20%2B%28%20f%27%28x%29%5E2%29%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
K(x) = ( curvature function)
