Answer:
-9
Step-by-step explanation:
Hello! So, we need to find log_6 1/6. The definition of log is the power that you need to multiply that number by to get the next number. 1/6=6^-1, so our equation would be:
-1=x/9, so x is clearly -9.
Have a nice day.
~cloud
Answer:
y=2x+1
Step-by-step explanation:
y= mx + c
c= 1
m= slope which is -2
y=2x+1
Answer:
27.11514 pi
Step-by-step explanation:
Given is a function exponential as
The region bounded by the above curve, y =0 , x=-2 x =1 is rotated about x axis.
The limits for x are -2 and 1
The volume when rotated through x axis is found by
Here a = -2 and b =1
volume = 
=
Step-by-step explanation:
Graph A:
D ((y2-y1)/(x2-x1) or (y1-y2)(x1-x2))
Graph B:
A (same as above or simply take the rise divided by the run)
There are a couple of ways to work this problem. Perhaps the easiest is to make use of secant rules.
The product of the two halves of the chord will be the product of the height of the segment and the missing length of the rest of the diameter (x). Then we have
.. (1180/2)^2 = 225.4*x
.. x = 590^2/225.4 ≈ 1544.4
The diameter is 225.4 +1544.4 ≈ 1770 . . . . feet.
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Another way to solve it is to consider the right triangle formed by the radius and the chord. Let the radius be represented by r. Then the Pythagorean theorem tells you
.. r^2 = 590^2 + (r -225.4)^2
.. r^2 = 590^2 +r^2 -450.8r +225.4^2
.. 450.8r = 590^2 +225.4^2
.. r = 398,905.16/450.8
.. r ≈ 884.88
.. d = 2r ≈ 1770 . . . . feet
