<span> The difference between the observed </span>value<span> of the dependent variable (y) and the predicted </span>value<span> (ŷ) is called the </span>residual<span> (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.</span>
First lets write down our starting conditions:
we have 22 gallons and it has 16% of ammonia
16% of 22 gallons is
A = 16/100*22 = 3,52 gallons
Now since only watter is evaporating that means that in second scenario after some watter evaporated there is still 3,52 gallons of ammonia. But now those 3,52 gallons of ammonia represent 24% of total mixture. So now we go other way.
24 % is 3,52 gallons
100% is x gallons
x = 100/24*3,52 = 14.667 gallons
That means that he has to evaporate
22 - 14.6667 = 7,333 gallons of water.
Option 4: ![\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
is the right answer
Step-by-step explanation:
Given expression is:
In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number
so,
in case of 3/7, it will be broken down
The 1/7 will be converted into base of radical while 3 will be he exponent
![\sqrt[7]{(5x^3y^4)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%285x%5E3y%5E4%29%5E3%7D)
Multiplying exponents
![=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B5%5E3x%5E%7B3%2A3%7Dy%5E%7B4%2A3%7D%7D%5C%5C%3D%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
Hence,
Option 4: is the right answer
Keywords: Radicals, Exponents
Learn more about exponents at:
#LearnwithBrainly
What is being requested, if I'm not mistaken, is the number of permutations for placing each of the 8 beads on the vertices of the cubes;
In this case, we have 8 different beads and 8 possible locations for each of them;
So the number of permutations is:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
Given that the angle of incidence is equal to the angle of reflection, we can state tha the angle formed by the eyes of Jason with the mirror is equal to the angle formeb by the top of the three with the same mirror.
Then, you can write this similarity equation:
[height of the eyes of Jason] / [distance from the poistion of Jason to the image on the mirror] = [height of the tree / distance from the mirror to the base of the tree]
6feet / 8feet = x/40feet
x = 40feet *[6/8] = 30 feet.
Answer: 30 feet.
