Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
Three times the difference of a number n and 1
13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8
x is greater than 8
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Cube root 0.216 to get your answer
(Note: This makes sense if you know the volume of a cube is the same value multiplied together 3 times)
The answer is option A 0.6 m
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Answer:
14
Step-by-step explanation:
(-2) + (-15) - (-3)
~Simplify
-2 - 15 + 3
~Subtract
-17 + 3
~Add
-14
Best of Luck!
