Answer:

Step-by-step explanation:
given,
angular deceleration, α = -0.5 rad/s²
final angular velocity,ω_f = 0 rad/s
angular position, θ = 6.1 rad
angular position at 3.9 s = ?
now, Calculating the initial angular speed




now, angular position calculation at t=3.9 s



Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.
(1) let "r" denote number of rabbits, "c" number of chickens
Set up the equations:

Answer: There are 575 rabbits and 425 chickens
(2) m - number of Mike's stamps, a - number of Andrew's stamps.
Set up equations:

Answer: Mike has 48 stamps. Andrew has 12 stamps.
Answer:
the width of the rectangle is 7 inches
Step-by-step explanation:
Answer:
The total cost of producing 91 units of ACME rocket fuel is $3999.99.
Step-by-step explanation:
The Marginal Cost is given by the following function

The total cost function is the integrative of the marginal cost function. So:



In which K, the integrative constant, is the fixed cost. So
.
1. Find the total cost of producing 91 units of ACME rocket fuel.
This is TC(91).
So

The total cost of producing 91 units of ACME rocket fuel is $3999.99.
Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches