volume of a sphere = 4/3 *pi * r^3
3/4 * pi = 4/3 *pi * r^3
divide each side by pi
3/4 = 4/3 * r^3
multiply each side by 3/4
3/4 * 3/4 = r^3
9/16 = r^3
take the cube root of each side
r = (9/16) ^ (1/3)
Answer:
A) 4.18
B)7.65
Step-by-step explanation:
You have to use a calculator
Answer:
Congruent and isometries.
Step-by-step explanation:
Congruent meaning the shape is still the same size and shape
(which is true because translations and rotations don't change size or shape)
And isometries because it is one way of mapping points to a different location.
Answer:
b. False
Step-by-step explanation:
P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52
P(X) × P(Y) = 0.65×0.77 = 0.5004
Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent
X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8