I assume the equation is supposed to be

Then we can write

Take the logarithm of base 3/8 on both sides:



- - -
If the equation is actually
, I'm afraid it cannot be solved exactly.
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval

The value

Find derivative for f

Equate this to -5 to check mean value theorem

We find that 1/3 lies inside the interval (0,1)
Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps