Answer:
The answer is
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element
there exist another element, denoted by
such that
, where
stands for the identity element of G.
So, given the equality
we make a left multiplication by
and we obtain:

But,
. Hence,
.
Now, in the equality
we make a right multiplication by
, and we obtain
.
Recall that
and
. Therefore,
.
The volume of the candle initially is:
V=Ab*h
Area of the base of the cylinder: Ab=pi*r^2
pi=3.14
Radius of the base: r=4 cm
Height of the cylinder: h=6 cm
Ab=pi*r^2
Ab=3.14*(4 cm)^2
Ab=3.14*(16 cm^2)
Ab=50.24 cm^2
V=Ab*h
V=(50.24 cm^2)*(6 cm)
V=301.44 cm^3
The candle melts at a constant rate of:
r=(60 cm^3)/(2 hours)=(120 cm^3)/(4 hours)=(180 cm^3)/(6 hours)
r=30 cm^3/hour
The amount of candle melted off after 7 hours is:
A=(30 cm^3/hour)*(7 hours)
A=210 cm^3
The percent of candle that is melted off after 7 hours is:
P=(A/V)*100%
P=[(210 cm^3)/(301.44 cm^3)]*100%
P=(0.696656051)*100%
P=69.66560510%
Rounded to the nearest percent
P=70%
Answer: 70%
Answer:
208
Step-by-step explanation:
6×4=24
24×2=48
8×4=32
32×2=64
8×6=48
48×2=96
48+64+96=208
The correct answer answer 56
Answer:
Total Budget: $1200
Step-by-step explanation:
76% = 912
1% = 12
100% = 12 x 100 = $1200
I brute forced till I got the number which multiplied by 76 came out to 912 from there I had what was 1% of the budget then I multiplied that by 100 for the answer.