Answer:
x=60.56, x=-82.56
Step-by-step explanation:
Solve using quadratic formula
Formula is

0.05x^2 + 1.1x = 250
Subtract 250 on both sides
0.05x^2 + 1.1x - 250=0
a= 0.05, b=1.1 , c=-250
Plug in the values in the formula


Now make two equations , one with + and one with -
then we solve for x

x=60.56

x=-82.56
The complement is 38
and the supplement is 128
we have

This is a mixed number
we know that
A mixed number is a combination of a whole number and a fraction.
So
is equal to

where
is the whole number
is the fraction

therefore
the answer is

16 = 4²
So, by the definition of logarithms

Answer:

Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,






Therefore, the volume of earth removed to build the three tunnels is
.