Answer:
4/13
Step-by-step explanation:
In absolute value, it is showing distance. Whenever something is in absolute value, it is turned positive.
here, Inside the absolute value brackets, we have positive 4/13. Positive 4/13 undergoes no such change, because there are no other terms, and no negatives.
absolute value of 4/13 is 4/13
Answer:
Penicillium
Step-by-step explanation:
Then the area of the top and bottom are each x^2.
<span>Then the height of the box is 40/x^2. </span>
<span>Then each side of the box is 40/x square feet. </span>
<span>Then the area of all four sides is 160/x square feet. </span>
<span>Then the total cost is represented by: </span>
<span>0.30x^2 + 0.05 (160/x) + 0.20x^2 </span>
<span>Expand the middle term and combine x^2 terms: </span>
<span>0.50x^2 + 8/x </span>
<span>Rewrite for easy differentiation: </span>
<span>0.50x^2 + 8x^-1 </span>
<span>Take the derivative: </span>
<span>x - 8x^-2 </span>
<span>Set the derivative to zero: </span>
<span>x - (8/x^2) = 0 </span>
<span>Multiply by x^2 </span>
<span>x^3 - 8 = 0 </span>
<span>Add 8: </span>
<span>x^3 = 8 </span>
<span>Take the cube root: </span>
<span>x = 2 feet </span>
<span>So the height is 40/4 = 10 feet </span>
<span>So the dimensions with minimum cost are: </span>
<span>2 x 2 x 10 feet.</span>
Answer:
Step-by-step explanation:
Answer:
timmy and drake share a pizza if timmy has 2/3 of the pizza how much of the pizza does drake have
16 friends have an option to choose chicken or beef if 1/4 choose chicken how many choose fish
Step-by-step explanation:
