Hello!
You can break this down
12 times the sum of 3 and c
This can be written as 12(3 + c)
is greater than 27
12( 3 + c) > 27
This can be simplified to 36 + 12c > 27
The answer is 12(3 + c) > 27 or 36 + 12c > 27
Hope this helps!
Answer:
50% 4 red marbles 8 total marbles
Step-by-step explanation:
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) 
=
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
= 
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol = 
= 
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol = 
Hence vol = 176/15 π
attached below is the graphical representation of P and h
85 * 0.20 = 17
85 - 17 = $68
He paid $68 for the jacket
Answer:
y = 2
Step-by-step explanation:
6y-5=7
+5 +5
6y=12
/6 /6
y=2