We have been given that the number of books in a small library increases according to the function
, where t is measured in years. We are asked to find the number books in the library after nine years.
To find the number books in the library after nine years, we will substitute
in our given equation as:




Upon rounding to nearest whole number, we will get:

Therefore, there will be approximately 6465 books in the library after 9 years.
Answer:h(x)=g(x+5)+1
Step-by-step explanation:
Answer:
4) Yes
5) Yes
6) Yes
7) No
Step-by-step explanation:
4) When we look at the table in the question, we can see the pattern is comics x 3 = price.
We know the definition of a proportional relationship is when one number is increased, the other is as well. So, it is in a proportional relationship.
5) We do the same thing here, we notice that we can divide the number of bikes by 5 to get the number of trips.
So, this is a proportional relationship.
6) The same reasoning applies to 6, we can see they follow a pattern.
7) All of them can be multiplied by 2, except the last one can't, so this is NOT a proportional relationship.
Answer:
1509
Step-by-step explanation:
We know that, formula for number of samples is,

When nothing is given, we take
and we know that
.
SE = 0.03 (the true proportion should remain withing 3%)
Putting the values we get,


Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.
If you want to know her percentage, we do:
16 ÷ 25 = 0.64
0.64 × 100 = 64%
Her score is 64%