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.
Answer:
Step-by-step explanation:
We are asked to find the tangent line approximation for near .
We will use linear approximation formula for a tangent line of a function at to solve our given problem.
Let us find value of function at as:
Now, we will find derivative of given function as:
Let us find derivative at
Upon substituting our given values in linear approximation formula, we will get:
Therefore, our required tangent line for approximation would be .
<h2>
The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>
Step-by-step explanation:
Total distance to sea bed = 127 m
Let the distance traveled in air be s.
Distance traveled in water = 127 - s
Average velocity in air = 16 m/s
Average velocity in water = 3 m/s
Distance traveled in air = Average velocity in air x Time in air
s = 16 x t₁
Distance traveled in water = Average velocity in water x Time in water
127-s = 3 x t₂
We have total time is 12 seconds
That is
t₁ + t₂ = 12
We have
s = 16 x t₁
112 = 16 x t₁
t₁ = 7 s
t₁ + t₂ = 12
7 + t₂ = 12
t₂ = 5 s
The stone fall in air for 7 seconds and fall in water for 5 seconds.
Just multiply the income by .15
1201.87 * .15 = 180.28
He paid $180.28
It could be a trick question though because he didnt have a lot of income so maybe he didn't pay any taxes.. I've heard that's a thing
Answer:
2 flavors and 4 toppings
Step-by-step explanation:
For there to be 8 possible ways, you need to have inputs that can equal that. 4×2 is 8