The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−
Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0
Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0
Solution=3±321 over 10
Step-by-step explanation:
Answer:
7 quarters are spent for throwing 350 food pebbles in pond.
Step-by-step explanation:
Given:
Reggie receives 50 food pebbles for every quarter he spends.
Number of food pebbles he has = 350
Let the number of quarters spent for 350 pebbles be 'x'.
Now, using proportion and cross multiplication method, we can find 'x'.
<u><em>1 quarter is equivalent to 50 pebbles thrown in pond.</em></u>
<u><em>So, 'x' quarters is equivalent to 350 pebbles thrown in pond.</em></u>
So, 7 quarters are spent for throwing 350 food pebbles in pond.
Answer:
3/7
Step-by-step explanation:
The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7
Answer:
-52, and the opposite of this is 52.
Step-by-step explanation:
If we are losing 52 pounds, then our number is -52 since we are losing 52 pounds (adding a negative number to a positive number is the same as subtracting that number).
The opposite of a number is when we negate the number, or multiply it by -1.
A negative number times a negative number is a positive number.
Hope this helped!
