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Sveta_85 [38]
3 years ago
12

Describe how the placement of the decimal point changes when you multiply a number by the power of ten. How is this the same and

different for division?
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer: the answer to your question is

Recall that when you multiply a decimal by a power of ten (10, 100, 1,000, etc), the placement of the decimal point in the product will move to the right according to the number of zeros in the power of ten. For instance, 4.12 · 10 = 41.2.

hope this helps for what you needed have a nice day! :)

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Complete the following table for residuals for the exponential function: f(x) = 49.3(1.47)
agasfer [191]

Answer:

Predicted values:

\hat y_1 = 49.3 (1.47)^1 =72.471

\hat y_2 = 49.3 (1.47)^2 =106.5324

\hat y_3 = 49.3 (1.47)^3 =156.6026

\hat y_4 = 49.3 (1.47)^4 =230.2058

\hat y_5 = 49.3 (1.47)^5 =338.4025

\hat y_6 = 49.3 (1.47)^6 =497.4517

\hat y_7 = 49.3 (1.47)^7 =731.254

\hat y_8 = 49.3 (1.47)^8 =1074.943

Residuals:

e_1 = 65-72.471=-7.471

e_2 = 90-106.5324=-16.5324

e_3 = 162-156.6026 = 5.3974

e_4 = 224-230.2058 = -6.2058

e_5 = 337-338.4025 = -1.4025

e_6 = 466-497.4617 = -31.4517

e_7 = 780-731.254 = 48.7459

e_8 = 1087-1074.493 = 12.0566

Step-by-step explanation:

For this case we assume the following exponential function:

\hat y_i = 49.3 (1.47)^x

Where x represent the hours and y the predicted values for each hour. We can find the estimated values like this:

\hat y_1 = 49.3 (1.47)^1 =72.471

\hat y_2 = 49.3 (1.47)^2 =106.5324

\hat y_3 = 49.3 (1.47)^3 =156.6026

\hat y_4 = 49.3 (1.47)^4 =230.2058

\hat y_5 = 49.3 (1.47)^5 =338.4025

\hat y_6 = 49.3 (1.47)^6 =497.4517

\hat y_7 = 49.3 (1.47)^7 =731.254

\hat y_8 = 49.3 (1.47)^8 =1074.943

Now we can find the residuals with this formula:

e_i = Y_i -\hat y_i

And replacing we got:

e_1 = 65-72.471=-7.471

e_2 = 90-106.5324=-16.5324

e_3 = 162-156.6026 = 5.3974

e_4 = 224-230.2058 = -6.2058

e_5 = 337-338.4025 = -1.4025

e_6 = 466-497.4617 = -31.4517

e_7 = 780-731.254 = 48.7459

e_8 = 1087-1074.493 = 12.0566

6 0
3 years ago
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