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Zepler [3.9K]
2 years ago
6

If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cub

ic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.
Mathematics
1 answer:
dangina [55]2 years ago
4 0
Area of the box:
A = 2 a² + 4 a h = 600 cm²
h = a ( the box is a cube )
A = 6 a² = 600 cm²
a² = 100
a = 10 cm
V = a³ = 10³ = 1000 cm³
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Answer:

The answer is 8 .

Step-by-step explanation:

f(x)=36

36=3x+12

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24=3x

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Step-by-step explanation:

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What is the smallest positive integer for x so that f(x)=200(2)* is greater than the value of g(x)=500x+400?
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So the problem is asking for the smallest positive integer for x so that f(x) is greater than the value of g(x), that is:

f(x)\ \textgreater \ g(x) \\ \therefore 200(2)^{x}\ \textgreater \ 500x+400

Let's solve this problem by using the trial and error method:

for \ x=1 \\f(1)=400 \\ g(1)=900 \\ Then \ f(1) \ \textless \ g(1) \\ \\ \\ for \ x=2 \\f(2)=800 \\ g(2)=1400\\ Then \ f(2)\ \textless \ g(2) \\ \\ \\ for \ x=3 \\f(3)=1600 \\ g(3)=1900 \\ Then \ f(3)\ \textless \ g(3) \\ \\ \\ for \ x=4 \\f(4)=3200 \\ g(4)=2400 \\ \boxed{Then \ f(4)\ \textgreater \ g(4)}

So starting x from 1 and increasing it in steps of one we find that:

f(x)>g(x)

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3 years ago
Equation with a variable on both sides that equal 27
DanielleElmas [232]

Answer:

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Step-by-step explanation:

equation with a variable on both sides that equal 27

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