The volume is ~ 3.97 so then the surface is smaller than the volume.
Answer:
The graph 
has a greater slope than the graph of 
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we need to change the mixed numbers into improper fractions.
9 x 10 = 90 + 1 = 91/10
4 x 4 = 16 + 3 = 19/4
Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.
Now we can subtract:
And that leaves us with our answer :D
We have an arithmetic progression:
an=number of item at row n
an=a₁+(n-1)d
d=common difference=an-a(n-1)=a₂-a₁=2-1=1
n=number of row
In this case:
an=1+(n-1)*1=n
The sum of an arithmetic serie is:
Sn=(a₁+an)n / 2
In this case:
a₁=1 (number of itms in the first row)
an=n (we have to calculate this before)
Sn=(1+n)n /2=(n+n²)/2
Therefore:
f(n)=Sn=number of items when we have n number of rows
f(n)=(n+n²)/2
Answer: f(n)=(n+n²)/2
To chek:
f(1)=(1+1²)/2=1
f(2)=(2+2²)/2=6/2=3
f(3)=(3+3²)/2=(3+9)/2=12/2=6
....
Answer:
9x-7
Step-by-step explanation:
AB =3x-2
BC= 6x-5
AC=AB+AC
AC=(3X-2)+(6X-5)
AC=3X-2+6X-5
AC=3X+6X-2-5
AC=9X-7
