The volume as a function of the location of that vertex is
... v(x, y, z) = x·y·z = x·y·(100-x²-y²)
This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function
... v(x) = x²(100 -2x²) = 2x²(50-x²)
This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is
... v(5) = 2·25·(50-25) = 1250
The maximum volume of the box is 1250 cubic units.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the ordered pair for the center.
(x - (- 3))² + (y - 6)² = 10²
(x + 3)² + (y - 6) = 100
Answer:
4q
We can write the verbal expression of this algebraic or mathematical expression as simple as four times a number. Since the unknown variable here is “q” and it is not specified it doesn’t mean a specific letter q but just a representation of an absent and unknown value of a number. Hence, these variables have a automated value of 1 hence, q = 1 but unless the value of this variable is changed in finding or filling this unknown it remains with the constant of 1.
Step-by-step explanation:
Answer:
Solution given:
For finished box
length[L]=36-4-4=28in
breadth [b]=36-4-4=28in
height[h]=4in
Now
volume of square box=l×b×h=28*28*4=3136in³
1.
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Answer:
3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.
Step-by-step explanation:
I think that explanation is obvious