You are offered a job that pays a different amount each day. The
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Answer:
Percent of error of Logan's Estimate is 12.5%
Step-by-step explanation:
Given:
Actual Volume of sample =48 mL
Estimated Volume of sample = 42 mL
We need to find the percent errors of Logan estimate.
To calculate percent of error below are the steps.
Step 1: Subtract the Actual value from the estimated value.
Step 2: Take the absolute value of step 1
Step 3: Divide that answer by the Actual value.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Now Substituting the values we get;
Step 1: To Subtract Actual Volume with Estimated Volume
Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL
Step 2: Find Absolute value we get;
Step 3 : Divide that answer by the Actual volume.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Hence Percent of error of Logan's Estimate is 12.5%
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this equation in a single step, we just need a bit of theory and a graph.
We can first see that its in form. Which is also known as Slope-Intercept form.
This means that we know the following.
is the y coordinate of the y intercept.
is the slope of the line.
Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).
Now that we've gotten that, we can start graphing.
The y intercept is -7 so we can plot (0,-7) as one of our points.
The slope of 3 means that we got up 3 units then right a single unit.
Therefore, another point could be (1,-4).
With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.
Cheers!
An equation of the form y=ax+b, where a and b are constants; y and x are variable, is called a linear equation.
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)