Answer:
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Step-by-step explanation:
Answer:
The total number of sites are 15 .
Step-by-step explanation:
As shown in question.
The number of sites in 2 shield darter = 3
The number of sites in 3 shield darter = 1
The number of sites in 4 shield darter = 4
The number of sites in 6 shield darter = 2
The number of sites in 7 shield darter = 3
The number of sites in 8 shield darter = 1
The number of sites in 9 shield darter = 1
Thus
Total number of sites = Number of sites in 2 shield darter + Number of sites in 3 shield darter + Number of sites in 4 shield darter + Number of sites in 6 shield darter + Number of sites in 7 shield darter + Number of sites in 8 shield darter + Number of sites in 9 shield darter
Putting the values in above
= 3 + 1 + 4 + 2 + 3 + 1 +1
= 15
Therefore the total number of sites are 15 .
Answer: x^4
Step-by-step explanation:
1. Rewrite the expression in fraction form:
(3√x²)^6 = x^(2/3)^6
2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.
2. Solve:
x^(2/3)^6 = x^(12/3) = x^4
Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.
Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
