Answer:
Step-by-step explanation:
<u>Given recursive formula</u>
- a₁ = 0
- aₙ = 2(aₙ₋₁)² - 1, for n>1
<u>The first 5 terms are:</u>
- a₁ = 0
- a₂ = 2(0)² - 1 = 0 - 1 = -1
- a₃ = 2(-1)² - 1 = 2 - 1 = 1
- a₄ = 2(1)² - 1 = 2 - 1 = 1
- a₅ = 2(1)² - 1 = 2 - 1 = 1
<span>A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number).
So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number.
Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.</span>
I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.
So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.
Make a table of different answers when you plug in X and you get the 'Constant of proportionality.'
y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5
Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)
Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs. Make a table of these and you have your answer.
EXAMPLE -
-= x =- -= y =-
-= 1 =- -= 5.5 =-
-= 2 =- -= 8 =-
-= 3 =- -= 11.5 =-
-= 4 =- -= 13 =-
So there you have it. I hope this helps! If you have any further questions, don't hesitate to ask.
Answer:
67 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. So...
23 + x + 90 = 180
113 + x = 180
x = 67 degrees
