Vbox-vspheres
vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728
vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches
vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads
Answer:
x = 
Step-by-step explanation:
Given
f(x) = 
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Thus x = is the vertical asymptote
as tiers increases, sales increases
since there seems to be no assemtote (horizontal or vertical), As the number of cake tiers increases without bound, the total monthly sales increase without bound.
answer is 3rd option
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3 <Need the same denominator so find the lowest common multiple.
3 6 9 12 15 18 < multiples of 3
if 3 goes into 18 than it will be our LCM
3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation
9/18 + 6/18 < just add 9 + 6 and place it over 18
15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.
1 3 5 15 <Factors of 15
1 2 3 6 9 18 <Factors of 18
3 is the highest one they both have so divide both 15 and 18 by 3
15/3 is 5 and 18/3 is 6
put the 5 and 6 in their proper places and you have 5/6 or .83333333333...
