<span>Don't forget S is measured in thousands of units so you are solving for :
100 < 74.5 + 43.75Sin(πt/6)
25.5 < 43.75Sin(πt/6)
Sin(πt/6) >25.5/43.75 = 0.582857
ASrcSin(πt/6) > 0.62224 radians
πt/6 > 0.62224
t > 6 x 0.62224/π = 1.1884 (4dp)
This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3.
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116]
Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
4200= 4.2 km so
4200 + 325= 4525 meters
jason ran 4525 meters
Answer:
35
Step-by-step explanation:
Given:
GH = 23
HR = 12
Required:
Length big QR
SOLUTION:
Since H is a point in between points Q and R, points Q, H, R are collinear.
QH = 23
HR = 12
QH + HR = QR (segment addition postulate)
23 + 12 = QR (substitution)
35 = QR
Therefore, the length of QR is 35
Answer:
8(w - 2)
Step-by-step explanation:
Answer: y < 3x -4
Step-by-step explanation:
We know two points of line: (0,-4) and (1,-1)
Therefore, we can find the slope: 3/1.
We know the y intercept.
Dashed line means the inequality is not apart of the region.
y < 3x-4
