Answer:
1 to 30 seconds
Step-by-step explanation:
3 seconds increases your speed from 32 to 35 miles per hour
Hence 3 seconds = 3 miles per hour(35-32 miles)
1 second = 1 mile
The function for the increase per mile is therefore:
f(x)= 1x
Where x is number of seconds travelled on the highway
The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Answer: 3
Step-by-step explanation:
6/8 is the same as 3/4;
there are 3 lots of 1/4 in 3/4
Answer:
-1.9
Step-by-step explanation:
The opposite of the opposite is the original number, -1.9.
It is located at -1.9 on the number line.
440 x 10 = 4,400. Yes 4,400 is 10 times as much as 440
