Answer:
i used a scientific calculator for these!
if they are wrong please tell me :)
1) 134237.727273
2) 2517.85714286
Answer:
27x +6
Step-by-step explanation:
3(7x+2)+6x
Distribute
21x+6 +6x
Combine like terms
27x +6
Answer:
<h2> $9</h2>
Step-by-step explanation:
<h2>
f(x) = - 25 ( x - 9 )² + 200</h2>
<em>when</em><em> </em>x = 5 ,
f(5) = - 25 ( 5 - 9 )² + 200 = - 200
<em>when</em><em> </em>x = 9 ,
f(9) = - 25 ( 9 - 9 )² + 200 = 200
<em>when </em>x = 10 ,
f(10) = - 25 ( 10 - 9 )² + 200 = 175
<em>when</em><em> </em>x = 15 ,
f(15) = - 25 ( 15 - 9 )² + 200 = -700
∴ when <u>price = $9</u>
the company receive the maximum profit
9514 1404 393
Answer:
5) 112°
6) 40°
Step-by-step explanation:
5) The angle E or ? is half the sum of the intercepted arcs:
? = (130° +94°)/2 = 112°
__
6) The angle D is half the difference of the intercepted arcs:
? = (135° -55°)/2 = 40°
The two gears are shown n the diagram below.
ω₁ and ω₂ are the angular velocities of the larger and smaller gears respectively.
Part 1.
When the smaller gear makes one revolution, it turns through an angle of 2π radians or 360°.
Because the gears do not slip, the larger gear turns through an angle of θ, so that
(θ radians)*(8 in) = (2π radians)*(2 in)
or
8θ = 4π
θ = π/2 radians = 90°
Answer: 90.0°
Part 2.
When the larger gear makes one revolution, it turns through an angle of 2π radians.
Because the gears do not slip, the smaller gear turns through an angle φ, such that
(2 in)*(φ radians) = (8 in)*(2π radians)
or
2φ = 16π
φ = 8π radians
= (8π radians)*(1/2π rotations/radian)
= 4 rotations
Answer: 4 rotations