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.
*see attachment for diagram of the prism being referred
Answer:
52 m²
Step-by-step explanation:
==>Given:
Rectangular prism as shown in the attachment having the following dimensions=>
length (l) = 4m,
width (w) = 3m
height (h) = 2m
==>Required:
Surface area of the prism = 2 (wl + hl + hw)
==>Solution:
Surface area of the triangular prism = 2 (wl + hl + hw)
= 2*[(3*4) + (2*4) + (2*3)]
= 2*[12 + 8 + 6]
= 2*[26]
S.A = 52 m²
Surface area of the rectangular prism = 52 m²
The answer is: 520
Hope this helps :)
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Answer:
x²-16
Step-by-step explanation:
x²-16 =0
Add 16 to both sides
x²-16 + 16 = 0 + 16
Simplify
x²= 16
For x²=(fa) the solutions are x = √(fa), -√(fa)
X=√16 ,X= -√16
√16=4
-√16 = -4
x=4, x= -4
