65 lol buddy i think im right
Answer:
650 miles
Step-by-step explanation:
River Nile transverses different countries in Africa, from Lake Victoria where it begins. Although R. Nile is 4160 miles longs, only 650 miles pass through the ancient Egypt. Beside Kenya, Uganda and Tanzania that border Lake Victoria, the Nile passes through countries like Rwanda, Burundi, Eritrea, Democratic Republic of Congo, Ethiopia and South Sudan. When in Egypt, River Nile starts at the first cataract to the delta where it deposits its water into Mediterranean sea.
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
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Answer:
A
Step-by-step explanation:
because you need to reflect to match the shape
Answer:
79
Step-by-step explanation:
So we have the function:
To find g(9), substitute 9 for t. Thus:
Square:
Subtract:
So, our answer is 79.
And we're done!