Answer:
3V
r = ∛ ( ---------- )
4π
Step-by-step explanation:
Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.
V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.
Our task is to solve this formula for the radius, r.
Divide both sides by (4/3) π, to isolate r³. This results in:
v (4/3) π r³
------------- = -----------------
(4/3) π (4/3) π
V 3V
Then r³ = -------------- = --------
(4/3) π 4π
and r is found by taking the cube root of the above result:
3V
r = ∛ ( ---------- )
4π
Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
Answer:
16.0(?)
Step-by-step explanation:
I’m not really sure if it’s correct. But I’m assume it’s correct.
Answer:
68
Step-by-step explanation:
just put the value of a and b in the expression and you will get the answer
20/a+7.b is
20/4+7×9
5+63
68
Answer:
f(x) = x² - 6x + 14
Step-by-step explanation:
Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c
So we are going to expand the equation and combine like terms:
f(x) = (x - 3)² + 5
f(x) = x² - 3x - 3x + 9 + 5
f(x) = x² - 6x + 9 + 5
f(x) = x² - 6x + 14