Answer:
1 1/3 hours
Step-by-step explanation:
Pipe 1 alone:
fills the pool in 2 hours
in 1 hour, it fills 1/2 of the pool
Pipe 2 alone:
fills the pool in 4 hours
in 1 hour, it fills 1/4 of the pool
Pipe 1 and Pipe 2 working together:
fill the pool in x hours
in 1 hour, they fill 1/x of the pool
Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.
Working together, in 1 hour the two pipes fill 1/x of the pool.
Therefore,
1/2 + 1/4 = 1/x
2/4 + 1/4 = 1/x
3/4 = 1/x
x = 4/3
x = 1 1/3
Answer: 1 1/3 hours
The sine function is an odd function, so the sine of -30° is the opposite of the sine of 30°.
sin(30°) = 1/2
sin(-30°) = -1/2
The sine of 30° is greater than the sine of -30°.
I am not sure if you gave all of the information but if you did A because A > B. Did I miss something?
Answer:
f(- 2) = 8
Step-by-step explanation:
Evaluating for x = - 2
f(- 2) = 2
- 4(- 2)³ - 11(- 2)² + 3(- 2) - 6
= (2 × 16) + (- 4 × - 8) + (- 11 × 4) - 6 - 6
= 32 + 32 - 44 - 6 - 6 = 8
