Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)

Set the derivative equal to zero to obtain the critical points

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
Answer: <u>B, about 280 ounces</u>
16.9 + 15.2 = 32.1
32.1 * 7 = 224.7
Not A because she doesn't drink 30 oz she drinks 32.
B is the closest and is rounding both numbers up.
C is false because you don't multiply by 10, you multiply by 7 because of the 7 days in a week.
D is false for the same reason as C.
100 because it goes up 15 and 5
Answer:
x = 3.748
Step-by-step explanation:
this problem requires logs

x = 2 + log_7 (30) or 3.7479