Answer:
The answer- 1254ft
Step-by-step explanation:
You can do the calculator trick and get the answer and round to the tenth
Answer:
Step-by-step explanation:
Let the rectangle have (x,y,z) as vertex in positive octant. The rectangular box has to be necessarily symmetrical about all the three axes.
Then the sides of the box would be

Volume = 
Maximize volume subject to

i.e. 
Use Lagrangian multipliers , we have
at the maximum


Dividing we get

Similarly 
Thus we get 
Hence dimensions are
(2x,2y,2z)
So dimensions are

4y = 42 - 3y
First, add '3y' to both of the sides.
Second, add '4y + 3y' to get '7y'.
Third, divide both sides by '7'.
Fourth, how many times does 7 go into 42? 42 ÷ 7 = '6'.

Answer:
y = 6
Answer:
the answer is easy.
Step-by-step explanation:
Answer:

Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this:
, so
)