Answer:
Q(18) is a mathematical representation of the weight in pounds of a puppy after 18 months.
Q(30) = 27.5 ; This means that the weight of puppy after 30 months will be 27.5 pounds
Step-by-step explanation:
Given the expressions :
Q(18)
Q(30) = 27.5
Function Q gives a puppy's weight in pounds as function of its age in months
What does each expression represent in this situation?
A function is generally represented in the form a(x) ;
Hence, Q(18) is a mathematical representation of the weight in pounds of a puppy after 17 months
Q(30) = 27.5 ; This means that the weight of puppy after 30 months will be 27.5 pounds. 27.5 is the result of working out the function Q at 30.
Answer:
A, C, E
Step-by-step explanation:
You can put A, C, and E in the blank.
Answer:
1.1
Step-by-step explanation:
If you dont want a decimal then you would just round, and get 1
Colfax:
Add the ratio numbers together:
5 + 4 = 9
Divide total students by that:
270 / 9 = 30
Multiply each ratio by 30:
Boys = 30 *5 = 150
Girls = 30 * 4 = 120
Do the same for Winthrop:
4 +5 = 9
180 /9 = 20
Boys = 20 * 4 = 80
Girls = 20 * 5 = 100
Total students = 270 + 180 = 450
Total Girls = 120 + 100 = 220
Fraction that are girls = 220 / 450 which reduces to 22/45
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
