Answer:
C+11/c+9
Step-by-step explanation:
3c+33/3c+18 = c+11 / c+6
C^2+17c +66 = (c+6)(c+11)
C^2 +20c+99 = (c+11)(c+9)
So the given question becomes
{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}
= c+11 /c+9
In the given question, the two sides of the given triangles are parallel, so the the two corresponding angles of the Triangles are equal to one another.
Therefore, the Triangles are similar by AA similarity criteria ~
And since they are similar, the ratio of sides of one Triangle will be equal to ratio of corresponding sides of the other Triangle.
that is ~
Hence, value of l = 15.4 units ~
Answer:
360in²
Step-by-step explanation:
From the question,
L= Length = 9in
W= Width = 40in
Since, the base of rectangular prism is the same with Area of a rectangle. Then,
base of rectangular prism = ( Length × Width)
Then, Area of the base =( Lenght × Width)= ( 9 × 40)
= 360in²
Hence, area of the base of the cabinet = 360in²
Answer:
correct do
Step-by-step explanation:
Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
