Answer:
Where (a) is the side length of the hypercube
Step-by-step explanation:
A dimension can be simply defined as a direction in which matter can move it.
We live in a 3-dimensional world, matter can move in three basic directions. The formula for finding the volume of a cube is the following: (). In the second dimension, a flat world, the area for the volume of a square is as follows: (). However, a hypercube is a paradox, as it exists in 4-dimensions, thus it cannot exist in our world. However, scientists propose "String theory" which requires that matter can move in more directs than the (3) we know of in our world. In essence, there can be more than 3 dimensions. A hypercube is the 4-dimensional version of a cube. If it follows the area pattern that a square-object follows in all preceding dimensions then the area of a hypercube is ().
Bear in mind that the area patter for a square-object is generally the following:
Where (a) is the side length of the square-object
(n) is the dimension the object is in.
Please keep in mind, this answer was written in the June of 2021, as science keeps progressing and new discoveries are made, this theory can be disproven. Therefore, this answer might be considered correct now, but it can be proven incorrect in the future.
The answer is work
Work is equal to force times distance. if work is not constant over distance than it would required to solve integral where force is function of distance traveled. In this simple case, force is constant and the formula is:
W = F*D
We separate equation by looking at x and y projection separately.
Let us look at the x projection first.
Motion starts with initial velocity
because there is no force acting along the x-axis we don't have any acceleration along the x-axis. Our equation would be:
Now our y equation will be a little bit more complicated. There is gravity working against our projectile and we also have to take into effect the hight from which the projectile is launched.
With all that in mind let us write the equation for y projection:
The term
represents gravity and as you can see it is negative, which means gravity is pulling our projectile down.
There is one more thing we can do. We can express initial velocity
in relation to circular motion used to launch the projectile.
Where r is the length of the letter used to launch the projectile, and
is angular velocity.
If we combine our x and y equations we can get the trajectory of our projectile.
This is the equation of a parabola. If you follow this link(https://www.desmos.com/calculator/vogcuygjhs) it will take to an interactive graph where you can see how trajectory looks like depending on some of the paramaters.
According to multiplication you can use repeated addition to get the same product of the given equation.
Ex: 5x2= 2+2+2+2+2 ( 5 groups of 2)
Both will give you same answer (10).
Hence 2 x 3/4 = 3/4 + 3/4
Answer: D the chef answers the inequality incorrectly and makes a mistake between the Given and Step 1