Answer:
Yes, because 
is equivalent to 
Step-by-step explanation:
and
Hope this helps!
Answer:
72 × 3 = 216m
216 m is the combined length
Answer:
By doubling each day
Step-by-step explanation:
Jay is increasing daily a fixed amount of pennies to his collection. That's an arithmetic series, because to obtain the next term you have to do an addition.
To get a geometric series or progression you have to find the next term through multiplication.
So, if he wants to convert his series into a geometric series, he'd have to double his contribution to his collection each day (as an example).
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:
Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.
Step-by-step explanation:
