Answer:
parallel
Step-by-step explanation:
//
Answer:
B
Step-by-step explanation:
Answer:
The number of distinguishable arrangements are 1,663,200.
Step-by-step explanation:
The word is: CONNECTICUT
The number of ways to arrange a word when no conditions are applied is:

Here <em>k</em> is the number of times a word is repeated.
In the word CONNECTICUT there are:
3 Cs
2 Ns
2 Ts
And there are a total of <em>n</em> = 11 letters
So, the number of distinguishable arrangements are:


Thus, the number of distinguishable arrangements are 1,663,200.
Answer: 72 cupcakes
Step-by-step explanation:
Jason has already made 60 cocoa cupcakes and 24 berry cupcakes. In total, that is 84 cupcakes. He wants 156 cupcakes, so 84 is subtracted from 156, the answer is 72.
Answer:
7p¹⁵/ 3q¹²
Step-by-step explanation:
From the question given above,
28p⁹q¯⁵ / 12p¯⁶q⁷
To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:
28p⁹q¯⁵ / 12p¯⁶q⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷
Recall:
Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ
Therefore,
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²
Recall:
X¯ⁿ = 1/Xⁿ
Therefore,
(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²
(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²
Hence,
28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²