Answer: The answer is (D) 
Step-by-step explanation: We are to select the correct function which represents exponential decay.
We know that an exponential decay is represented by the function with base less than 1.
For example, if we consider the following exponential function:
then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.
Among the given functions, 
represents exponential decay, because the base is 0.66, which is less than 1.
Thus, (D) is the correct option.
The graph of this resultant function is attached, which clearly represents exponential decay.
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
Read more about surface area at
brainly.com/question/76387
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Answer:
i think h=17
Step-by-step explanation:
-18h = 17 = xh/6
Subtract xh/6 from both sides of the equation.
-18 - xh/6 = 17
Answer:
x=4
Step-by-step explanation:
1. distributive property
2. combine like terms
3. inverse operation
4. division or multiplication property
Answer:
$16.50
Step-by-step explanation:
If Jason spends $3.75 and Maya spends three times that amount, Maya spends 3.75(3) or $11.25. If Tia spends $5.25 more than Maya, Tia spends 11.25 + 5.25 or $16.50.
