Answer:
Step-by-step explanation:
Answer:
24761 mosquitoes
5.4 days
Step-by-step explanation:
Let the equation that shows the population of the mosquitoes after x days,

Where,
P = Initial population,
r = rate of increasing per day,
Here, A = 1000, when x = 0,

A = 1900 when x = 1,

Thus, the required function that represents the population after x days,

If x = 4,
The number of mosquito after 4 days,

If A = 60,000,


Taking log both sides,


Thus, there will 60,000 mosquitoes after 5 days.
Answer: (-0.4, 6.8)
The graph is attached
Step-by-step explanation:
We can find the axis of symmetry using the formula x = -b/2a
x = - -4/2(-5)
x = 4/-10
x = 0.04
Substitute for x and calculate y
y = 
y = 6.8
Answer:
W = 6
L = 9
Step-by-step explanation:
area = 54 = L x W
L = W + 3
substitute for L:
54 = W(W + 3)
W² + 3W = 54
W² + 3W - 54 = 0
(W + 9)(W - 6) = 0
W = 6
L = 6 + 3 = 9
Answer:
72 units
Step-by-step explanation:
A circle has a circumference of 452.16
The formula for circumference of circle = 
Where r is the radius of circle
The approximate value of pi = 3.14
Given circumference C= 452.16



Divide both sides by 6.28
r = 72
So radius of the circle 72 units