Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
F ( x ) = tan ( 2 x );
f ` ( x ) = (1 / cos² x )· ( 2 x )` = 2 / cos² x
f` ( π/6 ) = 2 / cos² (π/6) = 2 / (√3/2)² = 2 : 3/4 = 8/3
X + 4x = 75
Combine like terms:
5x = 75
Divide by 5 on each side of the equal sign:
x = 15
Answer:
-4
Step-by-step explanation:
Low tide is 1 ft below average water level.
High tide is 5 ft higher than low tide.
High tide is 5 ft higher than low tide. Start at low tide. Use 1 ft of the 5 ft to go up to average water level. You still have 4 ft more to go to high tide. That means high tide is 4 ft above average water level. Then, the average water level is 4 ft below high tide. A height below another height is is a negative number of feet from that height. Since the average water height is 4 ft BELOW high tide, then relative to high tide, the average water level is -4 ft.
Answer: -4
C=6.28cm
because C=2pi•r
so in this case C=2•3.14•1
which is C=2•3.14
and that leads to C=6.28cm
hope this helped
