Answer:
x = 2
Step-by-step explanation:
Answer:
Answer:
f(x) = 5 + 2x
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
Answer: the extraction is 18.2%.
Explanation:
Let's see few definitions:
TDS = Total Dissolved Solids = solids dissolved in the brew
PE = Percent Extraction = percent of solids extracted from the dry coffee grounds
The percent extraction can be calculated by the formula:
PE = TDS × Rm
where
Rm = ratio between the mass of the brew and the mass of dry grounds
Now, you need to consider the following facts:
1) every 1g of coffee absorbs 2g of water
2) the given brew ratio is 1:15, which means that for every 1g of grounds we use 15g of water
Let's call
x = grams of coffee grounds we want to use
Therefore the mass of the brew will be:
m(brew) = water we use - water absorbed by the coffee
= 15·x - 2·x
= 13·x
Therefore,
Rm = m(brew) / x
= 13·x / x
= 13
Hence, the percent of extraction will be:
PE = <span> TDS × Rm
= 1.4 </span>× 13
= 18.2
Answer:
10.5%
Step-by-step explanation:
The tangent of the angle is the ratio of rise to run.
tan(angle) = grade
tan(6°) ≈ 0.105 = 10.5%
The grade will be 10.5% for an angle of elevation of 6°.
First, find the LCD. That is 12.
1/3 = 4/12
1/4 = 3 /12
4/12 + 3/12 + 7/12
