Let
x--------> the length side of the square base of the box
y-------> the height of the box
we know that
The surface area of the box is equal to


so


--------> equation A
the volume of the box is equal to
--------> equation B
Substitute the equation A in the equation B



using a graphing tool
see the attached figure
For 

the point
is a maximum of the function
<u>Find the dimensions of the box </u>

Find the value of y
<u>The dimensions of the box are</u>

<u>The largest possible volume of the box is</u>

In the function g(x) the exponent is (x - 1), so g(x) = 12 * 2 ^ (x -1)
h(x) = 3x
So, you have to find the product f(x) * h(x) for x = 6
f(6) = 12 * 2 (6 -1) = 12 * 2(5) = 12 * 32 = 384
h(6) = 3(6) = 18
f(6) * h(6) = 384 * 18 = 6912
Answer: 6912
Answer:
30
Step-by-step explanation:
Original Equation: 2(7 + 8)
So you have to multiply 2 by 7 which equals 14
Then you multiply 2 by 8 which equals 16
Your equation should now look like this: 14 + 16
Add 14 and 16 together.
Your answer is 30
Hope I helped :)
Please condsider brainliest
Answer:
If there are 6 tiles, the probability is 1/6
Step-by-step explanation:
Answer:
A conditional statement is something like:
If P, then Q.
P = hypothesis.
Q = conclusion.
In this case, we have:
"If a polygon is a quadrilateral, then it is a square".
1) The hypothesis is: a polygon is a quadrilateral
2) The conclusion is: it is a square
3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.
4) The inverse of a conditional statement is (using the same notation than above)
If not P, then not Q.
In this case is:
"If a polygon is not a quadrilateral, then it is not a square"
(this is true)
5) A converse statement is:
If Q, then P
In this case is:
"if it is a square, then the polygon is a quadrilateral"
(Also true)
6) A biconditional statement is written as:
P if and only if Q.
In this case is:
A polygon is a quadrilateral if and only if it is a square.
(This is false)