The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
The missing values are (-6, -9) ( The last option)
Explanation:
x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.
Ex: l -3 l = 3.
the two vertical lines on either side stand for absolute value, or the distance to 0 from the given number.
THE ANSWER WILL ALWAYS BE POSITIVE (except...)
however, if there is a negative sign on the OUTSIDE of the bars, the answer will be NEGATIVE.
ex: - l -4 l = -4
ex: l -4 l = 4
Answer:
Height of the pyramid = 3v/y² units
Step-by-step explanation:
We are given;
- The volume of a solid right pyramid with a square base = v units³
- The length of the base edge = y units
The formula for volume of a pyramid is given as;
V = ⅓ x base area x height.
Since the base is square, we will use the formula for square area which is A = side × side.
Thus, v = ⅓ × (y × y) × height
Making height the subject, we have;
Height = 3v/y²
height of the pyramid would be given by the expression 3v/y² units
