Given:
Total number of problems = 24
Michael completed 
of his homework in 
of an hour.
To find:
What fraction of his homework would he complete in one hour.
Solution:
We have,
Part of work done in of an hour 
Part of work done in an hour 
Therefore, he complete 
of his homework in 1 hour. Hence, all options are incorrect.
Answer:
?????.... hii erica herrrr
14+36+h=400
50+h=400
-50 -50
---------------------
h=350mm
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
#SPJ1
Answer:
25 + 0.15m = 71.8
Step-by-step explanation:
Given:
Fixed charge = $25
Additional charge for each mile = $0.15
Let number of miles driven be m.
Total Billed amount = $71.80
Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.
Hence,
Total Billed amount = Fixed charge + Additional charge for each mile × number of miles driven
25 + 0.15m = 71.8
Hence the equation is 25 + 0.15m = 71.8.
