<span>5 ways to select the 1st letter
4 ways to select the 2nd letter
3 ways to select the 3rd letter
2 ways to select the 4th letter
-------------
Total # of ways = 5*4*3*2 = 120 passwords
----------------------
Another way to get the answer 5P4 = 5!/(5-4)!</span>
Answer:
f ( x ) does not satisfy the mean value theorem
Step-by-step explanation:
The given data :-
- f(x) = 3x - 4 cos ( 2x + 1 )
- f'(x) = 3 +8 sin ( 2x + 1 )
- The interval [ -1 , 2 ]
Solution :-
i) f(x) is continuous on [ -1 , 2 ]
ii) f(x) is derivable on ( -1 , 2 )
f ( -1 ) = 3 * (-1 ) - 4 cos [ 2 * ( -1 ) + 1 ] = - 3 + cos (-1 ) = - 3 - 4 * 0.9998 = - 6.992
f ( 2 ) = 3 * 2 - 4 cos ( 4 * 2 + 1 ) = 6 + 4 cos 9 = 6 - 3.9507 = - 3.04924
iii) f ( -1 ) ≠ f ( 2 )
f ( x ) is not real valued function so it does not satisfy the mean value theorem
Answer:
your answer will be option D !!
Step-by-step explanation:
123 + x = 180
x = 180 -123
x = 57
have a great day and good luck ^_^
Answer:
True
Step-by-step explanation:
The year is typically divided into equal different lengths of time. There are, for example, quarters, which divide the year by 4, i. e., in 4 periods of 3 months each. Other example are semesters, in this case, the year is divided into 2 periods of 6 months each. Taking this into account, an interest calculated on a balance every three months is compounded quarterly.
The bottom one is the correct answer.