Answer:
g = -32
Step-by-step explanation:
3 = g/-4 - 5
Multiply both sides of the equation by -4
-12 = g + 20
Swap sides so that the variable terms are on the left hand side
g + 20 = -12
Subtract 20 from both sides
g = -12 - 20
Subtract 20 from -12 to get -32
g = -32
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the revenue reaches a maximum of about $ 59000 in April and a minimum of about $ 29000 in October. Suppose the months are numbered 1 through 12, where the months are numbered 1 through 12
Then minimum when x=10 and maximum when x = 4
Average = 44000 correspond to middle line
Amplitude = ![59000-44000 = 15000](https://tex.z-dn.net/?f=59000-44000%20%3D%2015000)
Hence the function roughly would be
![f(x) = 15000sin (B(X-C))+44000](https://tex.z-dn.net/?f=f%28x%29%20%3D%2015000sin%20%28B%28X-C%29%29%2B44000)
So we found out two values for A and D
To find values for B and C
The minimum of sine function corresponds to -pi/2 here it is 10 and maximum pi/2 here is 4.
Period = 12 months
So B = coefficient of X = ![\frac{12}{2\pi} \\=\frac{6}{\pi}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%5Cpi%7D%20%5C%5C%3D%5Cfrac%7B6%7D%7B%5Cpi%7D)
Because symmetrical about x=7 we have x-7 with a negative sign since min atx =10
![f(x) =-15000sin \frac{\pi}{6} (x-7)+44000](https://tex.z-dn.net/?f=f%28x%29%20%3D-15000sin%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20%28x-7%29%2B44000)
Total number of rotations that will be needed for the car to complete 10000 miles will be given by:
rotations=(distance)/(circumference)=10000/(86.4×1.57828×10^-5)
=7333346.475 rotations
The formula for finding the area of a triangle is base x height ÷ 2. With that in mind…
18 x 10 = 180 in
180 ÷ 2 = 90 in