The maximum value of the function y= -3+4 cos(5pi/6(x+4)) can be determined by differentiating the equation then make the derived function equal to zero. In this case, the function becomes 4 sin (5pi/6(x+4)) * (5pi/6) or equal to 10pi/3 sin (5pi/6(x+4)) = 0. sin -1 of 0 is equal to zero. hence, 5pi/6(x+4) should be zero. x is equal to -4. substituting -4 in the original equation,<span>y= -3+4 cos(5pi/6(-4+4)) is equal to 1. The maximum value is 1. </span>
Answer:14
Step-by-step explanation:
Answer:
The inequality is
88<x<93
Step-by-step explanation:
The average of Shondra's test scores in physics is between 88 and 93.
Let me give out the meaning of some inequality symbols
<= Less than or equal to
>= Greater than or equal to
< Less than
> Greater than
Let the average score be x
In this case , the average score is between 88 and 93
The inequality is
88<x<93
Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.
Explicit formula: an= a + (n − 1) d
Explicit formula: Sn = n/2 [2a+(n-1) d]
Where,
nth term in the arithmetic sequence
a = first term in the arithmetic sequence
d = difference (each term and its term difference) previous term, i.e., d = an-an-1
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Answer:
meter
Step-by-step explanation: