Answer:
a) The model for the sales of Garmin is represented by 
.
b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Step-by-step explanation:
a) The model for the sales of Garmin is obtained by integration:
(1)
Where 
is the integration constant.
If we know that 
and 
, then the model for the sales of Garmin is:
The model for the sales of Garmin is represented by .
b) The average sales of the Garmin from 2008 through 2013 (
) is determined by the integral form of the definition of average, this is:
(2)
![\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cint%5Climits%5E%7B13%7D_%7B8%7D%20%7B%5Cleft%5B-%5Cfrac%7B81%7D%7B2500%7D%5Ccdot%20t%5E%7B3%7D%20%2B%20%5Cfrac%7B267%7D%7B250%7D%5Ccdot%20t%5E%7B2%7D-11.9%5Ccdot%20t%20%2B%2047.112%20%20%5Cright%5D%7D%20%5C%2C%20dt)
![\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cleft%5B-%5Cfrac%7B81%7D%7B10000%7D%5Ccdot%20%2813%5E%7B4%7D-8%5E%7B4%7D%29%20%2B%5Cfrac%7B89%7D%7B250%7D%5Ccdot%20%2813%5E%7B3%7D-8%5E%7B3%7D%29%20-%5Cfrac%7B119%7D%7B20%7D%5Ccdot%20%2813%5E%7B2%7D-8%5E%7B2%7D%29%20%2B47.112%5Ccdot%20%2813-8%29%20%20%20%5Cright%5D)
The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Answer:
V = 120.6796
LA = 110.8513
SA = 174.8513
Step-by-step explanation:
Let me know if you need more of an explanation for any of these
First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.
Gonna leave it like that for ease of writing. So then half of the diagonal is 
The height, h, will be 
. Plugging everything in gets us 
last, we need to find slant height, which we will call s.
s is also the height of the triangles for purposes of finding area. Now for the volume and areas.
Volume is area of the base times height divided by 3, so 
Lateral area is the sum of the four areas of the triangles, and each of those are 
so the whole lateral area is 4 times that. So we get 
Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513
Answer:
equals 56y+3x
Step-by-step explanation:
Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.
it is a function.
If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]
Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.
Maybe someone else will be able to help if it is too late for me to edit this answer.
Area = \frac{a X p}{2}
Area = apothem times perimeter over 2
