Answer:
Step-by-step explanation:
What is the inverse of the function f(x)Equals square root of 3X +6
1 answer:
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Answer:
Here's what I find.
Step-by-step explanation:
You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.
a) i) The recursive formula
Let dₙ = the deer population n years after the initial measurement.
For this situation,
a) ii) Definitions
n = the number of years from first measurement
r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.
a) iii) First term of sequence
The first term of the sequence is d₀, the population when first measured.
b) The function formula
The formula for the nth term of a geometric series is
c) Value of d₀
Let n = 2; then d₂ = 800
Answer:
B. 32
Step-by-step explanation:
Let's start by defining the multiplication principle.
If a first experiment can happen in ''a1'' ways,a second experiment can happen in ''a2'' ways ... and finally a ''ni'' experiment can happen in ''ai'' ways ⇒ the total ways in which the whole experiment can take place are :
a1 x a2 x ... x ai
Let's also define the arrangement of ''n'' objects in a straight line.
This arrangement is the number n!
For example if we want all the arrangements for letters A,B and C (n = 3) this number is 3! = 3.2.1 = 6
For the problem we are going to calculate the arrangements in which the father is driving and then multiply that number by 2 to obtain the arrangements in which the father and the mother drive.
When the father drives there are 4 possible seats for 4 persons ⇒ 4! = 16 ways this 4 persons can sit.
Now we subtract the ways in which the two daughters are sitting next to each other.
This number is 2 x 2 x 2.
The ''first'' two is because the two daughters can seat one in the middle seat and one in the right window or one in the middle seat and one in the left window.
The ''second'' two is because the daughters are each different.
And the last two is the ways in which the mother and the son can sit ⇒
If the father drive, there are 16 ways for this arrangement.
Now we multiply by 2 to obtain all the arrangements (we don't forget the case in which the mother drives).
There are 32 possible seating arrangements.