What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1)?
1 answer:
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Answer:
(a)
(b)5,832 Mosquitoes
(c)5 days
Step-by-step explanation:
(a)Given an original amount at t=0. The population of the colony with a growth rate
, where k is a constant is given as:
(b)If and the population after 1 day, N(1)=1800
Then, from our model:
N(1)=1800
Therefore, our model is:
In 3 days time
The population of mosquitoes in 3 days time will be approximately 5832.
(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.
From our model
In approximately 5 days, the population of mosquitoes will be 20,000.
Answer:
Angular velocity: (
)
Linear velocity: (
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that and
, then the linear and angular velocities of the gear are, respectively:
(
)
(
)