Step-by-step explanation:
volume of cube=l³
=(11)³
=1331m³
volume of cuboid=l*b*h
=11*8*4
=352m³
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

Where r is the inside radius and R the outer radius.

convert to cubic ft:

The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
Answer:
5n-8
Step-by-step explanation:
Because this is an arithmetic progression, there is simply an addend that is being added to every number. Because that is 5, the expression, for now, would be 5n. However, the progression does not start at 0, so we will have to subtract 3, and then it would be 5n - 3. We're still not at the answer; this is because the first term starts at 1, not 0. We will have to account for that, so subtract the coefficient, or 5, from the whole expression. That would be 5n - 8, and that would be the answer.
Answer:
Step-by-step explanation:
Edith is x years old.
Her sister,Madison is six years older than her. This means that the age of Madison is x + 6
Their mother is twice as old as Madison. This means that the age of their mother is expressed as
2(x + 6)
= 2x + 12
Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is
2x + 12 + x
= 3x + 12