The final answer is 24 pink roses (1.6 * 15) I got 1.6 from 5/3
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:
B: 8(N - 17) = 30
Step-by-step explanation:
Since the wording multiplies the difference by 8, the appropriate choice is B.
__
A: "the difference of the product eight times a number and seventeen" It is less ambiguous if you can word it as "the difference of seventeen and the product of 8 and a number is negative 30".
C: "The difference of eight times a number and seventeen times the same number is thirty."
Answer:
It will take weeks to recycle a total of 45 kg of paper
Step-by-step explanation:
W represents the number of weeks the office has been on the new recycling plan
P represents the total kilograms of paper recycled.
It took weeks to recycle P kilograms of paper = W
It took weeks to recycle 1 kilogram of paper =
It took weeks to recycle 45 kilograms of paper =
Hence It will take weeks to recycle a total of 45 kg of paper