Answer:
Solving the expression ![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29)
we get 6
The answer is 6.
Step-by-step explanation:
We need to find value of expression:
We know that 
Our expression will become
![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B9%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-2%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-4%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4)
We can write ![\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%282%5E3%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B6%7D%7D%3D2%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7B2%7D%20%20%5C%5C)
Now, replacing ![\sqrt[6]{8}=\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%5Csqrt%7B2%7D)
![=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D2%2B4%5C%5C%3D6)
So, solving the expression we get 6
Answer:
Expected revenue = $400
Step-by-step explanation:
Expected revenue is given by the formula;
Expected revenue = Sum of x * p(x)
x = 200
x = 600
p(x) = 1/2
p(x) = 1/2
Substituting, we have;
Expected revenue = 200*1/2 + 600*1/2
= 100 + 300
= $400
Therefore, expected revenue = $400
Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
=============================================
Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
=============================================
Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
=============================================
Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
=============================================
Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
The bacteria grow from 1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be
:an= ao(1+r)^t12.500= 1,000(1+r)^121,000(12.5)= 1,000(1+r)^1212.5= (1+r)^121+r= 1.23427r= 0.23Number of bacteria after 20hr would be:an= ao(1+r)^tan= 1,000(1+0.23)^20an= 1,000(62.821 )an= 62,821
