Answer:12 is the mean
Step-by-step explanation: Just find the middle number
Answer:
52
Step-by-step explanation:
4^2=4×4=16
6^2=6×6=36
16+36=52
Answer:
f(x) = x³/3 - 5/3
Step-by-step explanation:
To get the equation of the curve, integrate the slope
f(x) = integral of x²
= (x^(2+1))/3 + c
f(x) = x³/3 + c
To find c, use the given point
1 = 2³/3 + c
c = 1 - 8/3 = -5/3
f(x) = x³/3 - 5/3
Answer:
T(0, –3)
Step-by-step explanation:
triangle ABC was translated down 3 points, so if you subtract 3 from each of ABC's points, you'll get triangle A'B'C'
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
