Which one is prime number 2, 3, 5, 7, 13, 14, 15, 23, 25, 29, 30, 36, 61
klio [65]
2,3,5,7,13,23,29,61 A prime number is a number that can be divided evenly by one and itself only.
Answer:
42
Step-by-step explanation:
![_aP_b = \dfrac{a!}{(a - b)!}](https://tex.z-dn.net/?f=%20_aP_b%20%3D%20%5Cdfrac%7Ba%21%7D%7B%28a%20-%20b%29%21%7D%20)
![_7P_2 = \dfrac{7!}{(7 - 2)!}](https://tex.z-dn.net/?f=%20_7P_2%20%3D%20%5Cdfrac%7B7%21%7D%7B%287%20-%202%29%21%7D%20)
![_7P_2 = \dfrac{7 \times 6 \times 5!}{5!}](https://tex.z-dn.net/?f=%20_7P_2%20%3D%20%5Cdfrac%7B7%20%5Ctimes%206%20%5Ctimes%205%21%7D%7B5%21%7D%20)
![_7P_2 = 7 \times 6](https://tex.z-dn.net/?f=%20_7P_2%20%3D%207%20%5Ctimes%206%20)
![_7P_2 = 42](https://tex.z-dn.net/?f=%20_7P_2%20%3D%2042%20)
Answer:
Irrational Number
Step-by-step explanation:
<em>The Venn diagram is not attached; However, the question can still be answered</em>
Given
![Number = 4\pi](https://tex.z-dn.net/?f=Number%20%3D%204%5Cpi)
Required
What category of number is the given number
![Number = 4\pi](https://tex.z-dn.net/?f=Number%20%3D%204%5Cpi)
Substitute
for ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![Number = 4 * \frac{22}{7}](https://tex.z-dn.net/?f=Number%20%3D%204%20%2A%20%5Cfrac%7B22%7D%7B7%7D)
![Number = \frac{4 *22}{7}](https://tex.z-dn.net/?f=Number%20%3D%20%20%5Cfrac%7B4%20%2A22%7D%7B7%7D)
![Number = \frac{88}{7}](https://tex.z-dn.net/?f=Number%20%3D%20%20%5Cfrac%7B88%7D%7B7%7D)
![Number = 12.5714285714......](https://tex.z-dn.net/?f=Number%20%3D%2012.5714285714......)
Notice that there's .... at the end of the number;
This implies that, the decimal number still extends
<em>Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction</em>