S+m+l=28
4s+2m+l=58
6s+5m+4l=135
Eliminate the variable l from the first 2 equations
s+m+l=28
-4s-2m-l=-58
-3s-m=-30
Elminiate the variable l from the last 2 equations
6s+5m+4l=135
-16s-8m-4l=-232
-10s-3m=-97
Now solve for s and m using the 2 equations without l
-3s-m=-30
-10s-3m=-97
9s+3m=90
-10s-3m=-97
-s=-7
s=7
Then plug in s into one of the equations without l
-3(7)-m=-30
-21-m=-30
-m=-9
m=9
Now plus in s and m into one of the original 3 equations
(7)+(9)+l=28
16+l=28
l=12
Final answer:
Small=$7
Medium=$9
Large=$12
I know it only asks for large but I wanted to show you how to find them all for future reference. :)
The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Answers is 1000 in. Hope this helped
Answer: $22.12
Step-by-step explanation:
I just did the compound interest formula which is
starting amount * (1. interst rate) ^ number of years
example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;
100 * (1.10) ^20 = 672.74$
but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;
I know the answer is right because I asked my teacher and it's correct.
REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$
Answer:
$600
Step-by-step explanation:
75*100/450
7500/450
600
<em>Thank me later :)</em>
(<em>Or just give brainliest)</em>
