Answers
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
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Step-by-step explanation:
Let me know if I am wrong.
Answer:
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Answer:
9 cent
Step-by-step explanation:
4.59/5=$0.9
Answer:
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Answer:
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Answer:
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Answer:
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From the picture, we can make the following equation...
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Twelve people are
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Answers
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Answer:
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Step-by-step explanation:
April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.
Answer:
Option 2 :- February and March
Step-by-step explanation:
Rate of change between February and March is $ 5 i.e, ($79-$74)
Rate of change between April and May is $ 3 i.e, ($75-$72)
Thus, Rate of change is greater in February and March.
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Answers
Answer:
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
A does not belong
Step-by-step explanation:
A does not belong because it is the only option with parallel lines. All other answer options have lines that intersect with eachother.
Answer:
The answer that they're looking for is A. The first set doesn't belong because it's the only one in which the lines are parallel.
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B is the only one with two lines instead of 3
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PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.
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7.3; 74°
7.4; 73°
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Answers
Answer:
It's 7.3; 74!
Step-by-step explanation:
This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...
Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].
Here, [tex]v=<2,7>[/tex].
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The direction is:
[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].
So, the correct option is 7.3,74°.
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6
Answers
Explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation: Simplify the expression.
I hope this helps you out!
Manny begins the summer with $200 in his savings account. Each week he adds $85 to his account. Susan begins the summer with $95 in a savings account and adds $100 each week. When will Manny and Susan have the same amount of money in their accounts?
Answers
Answer:
7 weeks
Step-by-step explanation:
200 + 85w = 95 + 100w
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complet anology
2012:1992 ::1984__
Answers
Answer:
1964
Step-by-step explanation:
as 20 is decreased from 2012 to get 1992 . so 20 would be decreased from 1984 i.e 1964
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Answers
Answer:899,396
Step-by-step explanation:
