Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates.
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.
Two sides are same so that would be isosceles triangle. So then you would add up all angles and get this equation: 180 = 38 + x + x
2x = 142
x = 71
So the value of x is 71.
60% or 3/5 of the tank will be filled in an hour.
The pump will fill 2/5 of the tank in 2/3 hours.
In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.
<em>2/5 of tank : 2/3 hours </em>
<em>x of tank : 1 hour </em>
Cross multiply to get:
2/3x = 2/5
x = 2/5 ÷ 2/3
x = 2/5 x 3/2
= 0.6 of the tank
= 60%
= 3/5 of tank
In conclusion, 60% of the tank will be filled in an hour.
<em>Find out more at brainly.com/question/14336804.</em>
Answer:
5 5/7
Step-by-step explanation:
-4*6/7*-5/3
We can multiply the numerators
-4 * 6*-5 = 120
We can multiply the denominators
7*3 =21
Put the numerator over the denominator
120/21
The top and bottom are both divisible by 3
120/3 = 40
21/3 =7
The new improper fraction is 40 /7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
