Answer: should be -1/ sqrt of 3. If it asks to rationalize it could be -sqrt of 3/3
Step-by-step explanation:
Answer:
1875
Step-by-step explanation:
750 x 2.5 = 1,875
Let h = height of the box,
x = side length of the base.
Volume of the box is

.
So

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is


The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

![4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86](https://tex.z-dn.net/?f=%204x%20%3D%20%5Cfrac%7B460%7D%7B%20x%5E%7B2%7D%20%7D%20%20%5C%5C%20%204x%5E%7B3%7D%20%3D%20460%20%20%5C%5C%20x%5E%7B3%7D%20%3D%20115%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B115%7D%20%3D%204.86%20)
Then

So the box is 4.86 in. wide and 4.87 in. high.
Answer:
Describes f(x) = |x|, the graph opens up, the range is greater than 0, vertex is at 0,0, the domain is greater than 0
does not describe f(x) = |x|, is symmetric to the x axis, and is increasing over (0, arrow)
Step-by-step explanation:
punch the equation into desmos, I didn't cuz I know that the equation looks like, but you can visualize with any graphing calculator
Answers:
- x = 21.25
- y = 22.5
- z = 23.75
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Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
- x = 20+d
- y = 20+2d
- z = 20+3d
Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
- x = 20+d = 20+1.25 = 21.25
- y = 20+2d = 20+2*1.25 = 22.5
- z = 20+3d = 20+3*1.25 = 23.75
We could convert these to fraction form, but I find decimal form is easier in this case.