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1 answer:
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Answer:
7.789×10^-2 = 0.07789 cm
Step-by-step explanation:
Your calculator can find the difference of the two given diameters and express it in any format you like.
The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.
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The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.
8.83×10^-2 - 6.01×10^-3
= 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2
Alternatively, you can convert both numbers to standard form and do the subtraction that way.
8.83×10^-2 - 6.01×10^-3
= 0.0883 -0.00601 = 0.07789
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<em>Additional comment</em>
The second attachment shows the relationship between place values and their multiplier in scientific notation.
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The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).
Answer:
The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.
Step-by-step explanation:
The complete question is shown in the picture attached below.
Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.
By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.
By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.
Lets analyze E(x) first. The output values are:
34, 52, 70 and 88
The difference between consecutive output values is:
18, 18 and 18
Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.
Now lets analyze C(x). The output values are:
62, 133, 260 and 435
The difference between consecutive output values is:
71, 127 and 175
Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.
Conclusion:
The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.
