Answer:
Step-by-step explanation:
The range of f(x) = cos(x) is [-1, 1].
That of f(x) = A cos(x) is [-A, A], and
That of f(x) = A cos(x) + 2 is [ b-A, b+A ].
The function g(x) = A sin(x)+b has the same range.
Answer:
k = 33
Step-by-step explanation:
33 ÷ -11 = -3
SIMPLE DIVISION lol
Answer:

Step-by-step explanation:
The given equation is :

Taking x common from the above equation.

Nothing can be taken from above equation now. We can write the answer as :

Hence, this is the required solution.
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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Answer:
29
Step-by-step explanation:
(x+12) + 100 + x = 180
2x + 112 = 180
Subtract 112 from both sides
2x = 58
Divide 2 from both sides
x = 29