Answer:
0.7 (receering)
Step-by-step explanation:
use a scientific calculator type it in then press the s-d button to get 0.7 (recering)
Step-by-step explanation:
Let
and
. The area A of the region bounded by the given lines is
![\displaystyle A = \int [f(x) - g(x)]dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%20%5Bf%28x%29%20-%20g%28x%29%5Ddx)
Note that
intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as
![\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E%7B5%7D%5Cleft%284%20-%20%5Cdfrac%7B1%7D%7Bx%5E2%7D%5Cright%29dx)
![\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%5Cleft%284x%20%2B%20%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E5)
![\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%2820%20%2B%20%5Cfrac%7B1%7D%7B5%7D%29%20-%20%282%20%2B%202%29%20%3D%20%5Cdfrac%7B81%7D%7B5%7D%20%3D%2016%5Cfrac%7B1%7D%7B5%7D)
The triangle would be an isosceles triangle, because it has two equal sides and two equal angles
850/550= 1.7
it will take 1.7 hours or 1 hour and 42 minutes
add this to 11:30 AM
11:30+01:42= 1:12
then subtract the hour
13:12-1:00= 12:12
so it will be 12:12 when the plane lands in chicago
<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
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A rectangular prism, with dimensions,
- Base area ( l x b ) = 14 in²
- Height = 7 in.
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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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![\qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Cstar%20%5C%3A%20%5Cunderline%7B%20%5Cboxed%7B%20%5Cgreen%7B%20%5Csf%20%20Volume%20%3D%20l%20%5Ctimes%20b%20%5Ctimes%20h%20%7D%7D%7D%20%5C%3A%20%20%5Cstar)
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Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.
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<u>Solution</u><u> </u><u>:</u><u>-</u>
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![\sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\](https://tex.z-dn.net/?f=%20%5Csf%20%3A%20%20%5Cimplies%20Volume%20%3D14%20%5C%3A%20%20%7Bin%7D%5E%7B2%7D%20%20%5Ctimes%207%20%5C%3A%20%20%7Bin%7D%5E%7B%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%3A%20%20%5Cimplies%20Volume%20%3D%20%5Cunderline%7B%20%5Cboxed%7B%20%5Cfrak%7B%20%5Corange%7B%20%7B98%20%20%5C%3A%20in%7D%5E%7B3%7D%20%7D%7D%7D%7D%20%5C%3A%20%20%5Cstar%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%5C%20%20%5C%5C%20)
Thus, the volume of the rectangular prism is 98 m³.
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![\underline { \rule{227pt}{2pt}} \\ \\](https://tex.z-dn.net/?f=%20%5Cunderline%20%7B%20%5Crule%7B227pt%7D%7B2pt%7D%7D%20%5C%5C%20%20%5C%5C%20)