Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°
It’s C I believe
I hope it helps you with it
Minimum possible number of guests is zero.
C = 60 + 15(0) = $60
Maximum possible number of guests is 100.
C = 60 + 15(100) = $1,560
That looks like Choice (d).
Answer:
10 m
Step-by-step explanation:
Given:
The discharge of water is equal to the product of of its width, its average depth and its speed.
Let 
be discharge of water, 
be its width, 
be its average depth and 
be its speed.
So, 
As per question,
Plug in the above values and solve for .
Therefore, the average depth of the Mississippi river is 10 m.
