Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace 
with 
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you can simplify it:
First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.
6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3
6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!
Answer: 77.05
Step-by-step explanation: 1) Draw a right triangle with these measures:
angle with the horizontal: 6 degress
horizontal segment: 5
height: x
2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>
3) Solve for
x = 5tan(6°) = 77.05
Answer: 5 up 10 over
Step-by-step explanation:
I had this on my quiz
Answer:
1 pink marble
Step-by-step explanation:
If Jamie selected 10 times the pink marble in a total of 420 tries, we can assume that the proportion of pink marble in the total number of marbles is:
10 / 420 = 1/42
So to predict a good number of pink marbles in the total 40 marbles, we just need to multiply the 40 marbles by the proportion found above:
pink marble = 40 * (1/42) = 0.9524
As this number needs to be a whole number, a good assumption is that there is 1 pink marble in the 40 marbles.
