Add and subtract the values. Express your answer in scientific notation.
2 answers:
9514 1404 393
Answer:
8.83 × 10⁻³
Step-by-step explanation:
Your calculator can do this for you. Your scientific or graphing calculator can be set to display the answer in scientific notation, if you need that. Any spreadsheet can do this, too.
The formula for a spreadsheet would be =8.65e-3+2.7e-4-9e-5.
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If you want to do it "by hand", you can factor out 10⁻³ to get ...
8.65×10⁻³ +2.7×10⁻⁴ -9×10⁻⁵ = (8.65 +0.27 -0.09)×10⁻³ = 8.83×10⁻³
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<em>Additional comment</em>
Since the values after the first have more negative exponents, those numbers will affect digits farther right than the decimal point in the first number. (You can see this in the sum shown above.) Simply by estimating, you can determine that the answer will be slightly more than 8.6×10⁻³, but not as much as 9.01×10⁻³.
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Answer:
Step-by-step explanation:
We first need to determine the equation of the line.
Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).
Now, we can use the slope formula. Therefore:
Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:
Therefore, our slope is -4/3.
Now, we can use the slope-intercept form:
Where m is our slope and b is the y-intercept.
We already determined that the slope is -4/3.
And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:
Finally, we need to determine our inequality sign.
Notice that our line is dotted. Hence, we do not need “or equal to.”
Also, the blue shaded region is below our line. Therefore, y must be less than our equation.
Hence, our sign is less than.
Therefore, our equation is: