Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Multiply:
6•12=72
Then, you subtract 39 from 72:
72-39=33
33 containers would still need to be set up.
Answer:
<h2>A) 67</h2>
Step-by-step explanation:
The sum of the angles measures at one side of the parallelogram is 180°.
Therefore we have the equation:
x + 113 = 180 <em>subtract 113 from both sides</em>
x + 113 - 113 = 180 - 113
x = 67
Answer:
Step-by-step explanation:
1 table and 2 chairs (2-seat table)
1 table and 4 chairs (4-seat table)
120 people so we need 120 chairs
Some Possibilities :
120 /4 = 30
0( 2-seat table) and 30 (4- seat tables) because 0·2 + 30·4 = 0+120 = 120
2( 2-seat table) and 29 (4- seat tables) because 2·2 + 29·4 = 4+ 116= 120
4( 2-seat table) and 28 (4- seat tables) because 4·2 + 28·4 = 8+ 112= 120
...
120/2 = 60
60( 2-seat table) and 0 (4- seat tables) because 60·2 + 0·4 = 120 + 0 = 120
58( 2-seat table) and 1 (4- seat tables) because 58·2 + 1·4 = 116 + 4 = 120
56( 2-seat table) and 2 (4- seat tables) because 56·2 + 2·4 = 112 + 8 = 120
...
