Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that 
The tree grew continuously by 22% each year from that point.
This means that 
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
The height of the tree in 2020 was of 19.63 feet.
Answer:
5 + g
Step-by-step explanation:
The sum of 5 and g,
5 + g
Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
Factorization of 8
= (2*2*2)
