Answer: 203,280
Step-by-step explanation:
Given: A catering service offers 11 appetizers, 12 main courses, and 8 desserts.
Number of combinations of choosing r things out of n =
A customer is to select 9 appetizers, 2 main courses, and 3 desserts for a banquet.
Total number of ways to do this:
hence , this can be done in 203,280 ways.
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) =
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 =
3 = 1 +
r = 100×(3 - 1)
r = 200
So the function is, f(x) =
a). Population after 4 hours,
f(4) =
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) =
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) =
= Infinite
Answer:
Step-by-step explanation:
Since line m is parallel to line n, therefore:
(consecutive interior angles are supplementary)
Solve for x
Add like terms
Add 7 to both sides
Divide both sides by 11