The rate of change is x2. So, since it's forty, it became 80 because 40x2=80!
Good luck for a good grade!
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
<span>y-10 = -5/4x + 30/4 represents a linear function; we know that because both x and y have the power 1.
We could put this equation into one of several forms.
Suppose we wanted to put it into slope-intercept form. Then </span><span>y-10 = -5/4x + 30/4 becomes y = 10 + 30/4 - (5/4)x, or y = 35/2 - (5/4)x. Thus, this line has the slope -5/4 and the y-intercept (0, 35/2).
If this isn't quite what you wanted, then please share the instructions.
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Step-by-step explanation:
okay its asking if the line is a solid line or a dashed basically of the line isnt small dots it solid. also there asking if shading, the answer is no.
answer: no shading, and solid line
Answer:
26598
To find the answer, you have to subtract 24% from the current population. In this scenario, 40% subtracted from 40,300 is 26,598.
Hope this helped!
