A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.
The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
Answer:
C
Step-by-step explanation:
The fast way: Testing the options!
Teacher loving way:
An= d×n + A0
d= A4-A3=A5-A4=A6-A5...= 6
A3= 0 = 6×3 + A0
A0= -18
Then the equation is: An= 6n - 18
The mass of brick is 2478 gram
<em><u>Solution:</u></em>
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches
Length = 8 inches
Width = 3.5 inches
Height = 2 inches
<em><u>The volume of rectangular prism is given as:</u></em>
![volume = length \times width \times height](https://tex.z-dn.net/?f=volume%20%3D%20length%20%5Ctimes%20width%20%5Ctimes%20height)
![volume = 8 \times 3.5 \times 2\\\\volume = 56](https://tex.z-dn.net/?f=volume%20%3D%208%20%5Ctimes%203.5%20%5Ctimes%202%5C%5C%5C%5Cvolume%20%3D%2056)
Thus volume of brick is 56 cubic inches
<em><u>Convert inches to centimeter</u></em>
1 inch = 2.54 centimeter
Therefore,
56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter
56 cubic inches = 917.676 cubic centimeter
Thus, we get,
volume = 917.676 cubic centimeter
The brick has a density of 2.7 grams per cubic centimeter
Density = 2.7 grams
<em><u>The mass of brick is given by formula:</u></em>
![mass = density \times volume](https://tex.z-dn.net/?f=mass%20%3D%20density%20%5Ctimes%20volume)
<em><u>Substituting the values we get,</u></em>
![mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478](https://tex.z-dn.net/?f=mass%20%3D%202.7%20%5Ctimes%20917.676%5C%5C%5C%5Cmass%20%3D%202477.724%20%5Capprox%202478)
Thus mass of brick is 2478 gram
<span>7(-3 + 2u) simplified is </span>
Answer:
4 units to the left
Step-by-step explanation:
y = a (x - h)² + k
The h is a horizontal translation of <em>h</em> units.
For h > 0, move right
For h < 0, move left