We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:
- A.S + A.F + E.U + A.M = 177
- A.S = A.F + E.U + 69
- E.U - A.M = 13
- E.U = A.M + 13
- 2A.F = E.U + A.M + 29
- A.F + E.U + 69 + A.F + E.U + A.M = 177
- A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
- 2A.F + 3A.M = 177 - 13 - 13 - 69
- E.U + A.M + 29 + 3A.M = 82
- A.M + 13 + A.M + 29 + 3A.M = 82
- 5A.M = 82 - 13 - 29
- A.M = 40/5
- A.M = 8
- E.U = 8 + 13 = 21
- A.F = (21 + 29) / 2 = 25
- A.S = 177 - 25 - 21 - 8 = 123
Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
Learn more about maths in brainly.com/question/25818763
Answer:
you divide the number by 60 and get 1.83333333 then you have 1 (whole number with 83333333/100000000
Step-by-step explanation:
The answer is 8 because if you look she made $40 in 5 hours. $40 divided by 5 is 8. Also she made $80 in 10 hours. 80 divided by 10 is 8!!
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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