Hello there awesome brainly user!
To convert
to a mixed number you have to divide 31/6 which equals 5 R 1 Remember that the remainder is the numerator and the whole number is 5. So, the mixed fraction is
For further info, message me
Thanks and have a good day.
The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
Learn more about height on:
brainly.com/question/15557718
#SPJ1
Answer:
1320 ways
Step-by-step explanation:
Here we have a situation where 3 ribbons will be awarded to 3 of the 12 contestants. We can use the permutation formula, because the order of awarding the ribbons matters.
The permutation formula is:
n = 12
k = 3
Now that we have our variables, let's plug them into the formula.
So there are 1320 different ways that the contestants will be awarded.
Answer:
-343
Step-by-step explanation:
Given the expression: 
You will notice that the terms in the numerator and denominator have the same base (-7).
This makes it very easy to simplify by applying the division law of indices.
Therefore:
