Answer:
-9.8n + 11.1
Step-by-step explanation:
1. Combine like terms
-5.8n - 4n = -9.8n
3.1 + 8 = 11.1
2. -9.8n +11.1
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,
After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',
Since, 
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
In statistical methods, the significance level is a value that is used as a criterion for rejecting a null hypothesis. It used by first looking at the differences between the experimental results and from there the null hypothesis would be determined. Then, we assume that the null hypothesis is true, the probability of the differences is computed by using statistical tools. If the computed probability is less than or equal to the value of the significance level, then you conclude that the null hypothesis should be rejected and that the results are statistically significant. Usually, a significance level of 1% or 5% is used.
the answer to your question is 13 mm
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
