Answer: 720 ways
Step-by-step explanation:
Given
A train has 1 main engine and remaining 6 train cars
If the engine is always in the front the remaining train cars can be arranged is
Answer:
197.2 million
Step-by-step explanation:
The appropriate exponential equation for the population is ...
p(t) = 172.0e^(0.019t)
Then we can compute for t=7.2:
p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2
7.2 minutes from now, the population will be about 197.2 million.
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For continuous growth (or continuous compounding), the exponential formula is ...
f(t) = (value at t=0)×e^(rt)
where r is the growth rate in one unit of time, and t is the number of time periods.
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Answer:
3x+12
Step-by-step explanation:
-0.5x*2+4x+12
Multiply 0.5x*2=x
= -x+4x+12
Add similar elements -x+4x+12
= 3x+12
