Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
The answer is D.) Choosing New York as a sample, then selecting a sample of zip codes within New York, then sampling the names of people living in those zip codes.
Explanation:
When you use multistage sampling, you take a sample from a population by breaking it down into smaller and smaller groupings (units) at each stage. It's frequently used in nationwide surveys to collect data from a big, geographically dispersed group of people. I hope I helped! ^-^
Answer:
B
using SOHCAHTOA
COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3
Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:
Where 
is the lenght (the longer side) and 
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:
3. So, you must substitute into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:
Answer:
64
Step-by-step explanation:
i calculated using https://www.calculator.net/triangle-calculator.html :/
