The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3
Answer:
4. x=10
5. x=15
6. x=20
7. x=4
Step-by-step explanation:
4. 50+4x=90
90-50=40
40/4=10
x=10
5. (2x+60)+6x=180
6x+2x=8x
8x+60=180
180-60=120
8x=120
120/8=15
x=15
6. 3x+30=90
90-30=60
60/3=20
x=20
7. (8x+120)+7x=180
8x+7x=15x
15x+120=180
180-120=60
15x=60
60/15=4
x=4
(x,y)
to be a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them
ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2
not a function
domain is all x values
range is all y values
if they repeat, don't list them
domain=(0,1,4)
range=(-2,-1,0,1,2)
(X+1)(x^2+2) is the answer.