Answer:
180 different combinations
Step-by-step explanation:
To find the number of different combinations possible, We first find the number of possibilities for each place, and then multiply all possibilities.
Number of possibilities for president: 5
Number of possibilities for vice-president: 6
Number of possibilities for secretary: 2
Number of possibilities for treasurer: 3
Number of different combinations: 5*6*2*3 = 180
(We can form 180 different groups of 1 president, 1 vice-president, 1 secretary and 1 treasurer)
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Answer:
13
Step-by-step explanation:
use pythagorean theorem
Answer:
3x³ + 12x
Step-by-step explanation:
3x is 3 times x. If we multiply x times x², we get x³. This is because x² can be written as x·x, so if we multiply x by that, we get x·x·x. Since we are multiplying x² by 3x, we get 3x³. Now, we multiply 3x by 4, this gets us 12x. Now, we write it out as 3x³ + 12x.
Answer:
1042
Step-by-step explanation:
-38,-8,22,52
The common difference is 52 - 22 = 30
a_1 = -38
a_2 = -38 + 30
a_3 = -38 + 2 * 30
a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)
a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)
a_n = -38 + 30(n - 1)
a_37 = -38 + 30(37 - 1)
a_37 = 1042