Given:
Subtract the sum of and from the sum of and .
To find:
The simplified value for the given statement.
Solution:
The sum of and
The sum of and .
Now, subtract from .
Therefore, the required value after the subtraction is 38.
Since you're familiar with the place value associated with decimal digits, you know that the 1 in this number, being 4 places to the right of the decimal point, has a place value of 1×10⁻⁴. This means the number can be written as
1.27×10⁻⁴
a.
b.
The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.
c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:
Now, calculating the coefficient b (y-intercept), we have:
So the equation is:
d.
The maximum value of stress is 560, and occurs at strain = 0.07.
The [common difference, d, ] in an arithmetic sequence can be found by subtracting the first term from the second term
Answer: See the diagram below.
This diagram shows a closed filled in circle at -14 on the number line. Also, the shaded region is to the left of the closed circle. This visually represents values that are smaller than -14, or equal to -14.
The filled in circle is used to indicate "include this endpoint". In contrast, an open hole indicates "do not include this endpoint" which is only used if the inequality was instead of . The "or equal to" portion is why we include the endpoint.