The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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If the part inside the square root is negative, there are imaginary roots. Otherwise they are real.
False , Combining a coin toss and a roll of a die makes a simple event.
In statistics, what does a probability mean?
- The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is.
- P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.
- Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective.
- Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.
False , Combining a coin toss and a roll of a die makes a simple event.
A true statement is "For data at the interval level, you CAN calculate meaningful differences between data entries."
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Answer: -4m-10< -22 and -8>22
Step-by-step explanation:
