Answer:
6.1 hours
Step-by-step explanation:
The starting number 275 is multiplied by the factor 1135/275 in 3 hours. This gives rise to the exponential model ...
... n(t) = 275·(1135/275)^(t/3)
We want to find t when n(t) = 5000. Substituting this into the equation and solving, we have ...
... 5000 = 275·(1135/275)^(t/3)
... 5000/275 = (1135/275)^(t/3) . . . . divide by 275
... log(5000/275) = (t/3)·log(1135/275) . . . . take the log
... t = 3·log(5000/275)/log(1135/275) . . . . multiply by the inverse of the x-coefficient
... t ≈ 6.13795 . . . hours
Rounded to reasonable precision, the time is approximately 6.1 hours.
Answer:
X=12 on edg
Step-by-step explanation:
Answer:
k = 27/4
Step-by-step explanation:
1/5 (k - 3) = 3/4
Multiply both sides by 5 or 5/1:
5 ⋅ 1/5 (k - 3) = 3 ⋅ 5/4
Simplify:
k - 3 = 15/4
Add 3 to both sides:
k - 3 + 3 = 15/4 + 3
Therefore:
k = 27/4
I hope this helps!
Answer:
multiple triangles
Step-by-step explanation:
add the numbers up it adds to 180 which is the sum of a triangle and could create other triangles