Let and be the amounts of available alloy (AA) and pure magic steel that are used, so we also have
DA13 is supposed to contain 7% gold, 3% silver, and 90% steel, so that 2.7 kg of it is made up of
For each kg of the available alloy (AA), there is a contribution of 0.21 kg of gold, 0.09 kg of silver, and therefore 0.70 kg of steel; kg of it will contain kg of gold, kg of silver, and kg of steel. Each kg of magic steel of course contributes 1 kg of steel; kg of it will contribute kg of steel.
Then the dwarves need
• total gold:
• total silver:
• total steel:
Solve for and . The first two equations are consistent and give , and substituting this into the third we find . So the dwarves must combine 0.90 kg of AA and 1.80 kg of magic steel.
<span>To solve this we would need to find the bottom 10% z-score and find c such that Pr(X<c)=0.1. We find that c = -1.2815 using normal distribution. The cutoff salary for teachers in the bottom 10% would be X=26000 + 5000 x (-1.28155) or 19,592.24.</span>
The required equation in slope-intercept or standard form is y = 2x+12.
It is required to find the equation in slope-intercept or standard form.
<h3>What is slope?</h3>
Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The equation of the line that is parallel to y=2x-4.
Parallel lines have the same slope, We know the equation will be
y = 2x + b.
Use the point (-7,-2) to sub in for (x, y) to solve for b.
-2 = 2(-7) + b
-2=-14+b
12=b
So, the equation will be y = 2x+12
Therefore, the required equation in slope-intercept or standard form is y = 2x+12.
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Answer:
0
Step-by-step explanation:
The slope formula is [ y2-y1/x2-x1 ]
We can use the given points to solve.
0-0/2-(-4)
0/6
0
Best of Luck!