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.
People who purchased good seats will be labeled as a
people who purchased poor seats will be labeled as b
therefore...
5a + 2b = 660
a + b = 210
Now, all that has to be done is for the system to be solved.
-2(a+b=210)
5a + 2b = 660
-2a - 2a = -420
3a=240
a= 80
*3 people purchased good seats.
Now we can plug that number in
5(80) + 2b = 660
400 + 2b = 660
2b = 260
b = 130
*130 people purchased poor seats
Answer:
Step-by-step explanation:
first if you reflect an image its still identical think of it as a mirror its the same but on the other side. so if you flip it over the x or y axis it would just be as if you folded the paper and shape is on the other side. a rotation would be as if you moved the shape to another quadrant so if you move it 90 degres to the left it would be be turned slightly and a transformation if you slide it up the image is however many space it was from its current location. so each one moves it from its current location
Answer:
14
Step-by-step explanation:
The diameter is the length from one point on the circle to another, passing through the center. The <em>radius </em>is the length from a point on the circle to its center, so we can always find the diameter by doubling the radius. In this case, with a radius of 7, our diameter is 7 · 2 = 14
Answer:
x=-5/2,0
Step-by-step explanation:
It is solved by first factorizing it
10x²+25x=5x(2x+5)=0
Finding the zeros
5x=0x=0/5=0
2x+5=0
x=-5/2
Therefore x is -5/2 or 0