Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
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Answer:
Yes
Step-by-step explanation:
It passes the vertical line test.
if you draw vertical lines, it should hit the function only once, if it hits coordinates with the same x value (for example, (1,2) and (1,3)), it is not a function.
In the graph, each x value is only hit once.
<h3>
Answer: x = 65.4</h3>
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(x) = 5/12
x = arccos(5/12)
x = 65.375681647836 which is approximate
x = 65.4 after rounding to one decimal place
Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to ).
X =
First, before we can add, we have to find a common denominator.
We can use 24.
7 7/8 x 3/3 = 7 21/24
2 1/3 x 8/8 = 2 8/24
Now we add.
7 21/24 + 2 8/24 = 9 29/24 (denominator stays the same)
Lastly, simplify
9 29/24 = 10 5/24
Hope this helps