Answer:
![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
Step-by-step explanation:
![\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cfrac%7B5%7D%7B9%7D%7D%7B-%5Cfrac%7B25%7D%7B36%7D%7D%3D%5C%5C%5C%5C-%5Cfrac%7B5%7D%7B9%7D%2A%28-%5Cfrac%7B36%7D%7B25%7D%29%3D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B5%7D)
She will need 12 cups of pineapple juice.
Example: 4 x 4 = 16
3 x 4 = 12
Answer:
Step-by-step explanation:
The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60. Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.
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:
d 70%
Step-by-step explanation:
30 students in class
21 students with 5+ vowels
21/30 x 100 = 70%