Given data for different baseball teams’ number of home runs and wins for the past season, how would you find the equation of th

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where signifies the starting quantity (), is the decay rate () and denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

Response:

Depreciation as of December 31, Year 1 will amount to $1,250

Detailed explanation:

Cost of Purchase = $28,000

Salvage Value = $3,000

Total Depreciation:

The total depreciation over 5 years (60 months) is calculated as Purchasing Cost minus Salvage Value

Total Depreciation over 5 years (60 months) = 28,000 - 3,000

Total Depreciation over 5 years (60 months) equals $25,000

Calculating Monthly Depreciation:

Monthly depreciation is derived from the overall depreciation divided by the total number of months as follows:

Total Depreciation for a single month = 25,000/60

Depreciation per month = 416.67$ (Monthly Depreciation)

Depreciation until December 31, Year 1

As this spans from September 1 to December 31 of Year 1, three months have passed, yielding total depreciation = 3 * Monthly Depreciation

Thus, Depreciation as of December 31, Year 1 = 3 * 416.67

Total Depreciation by December 31, Year 1 = $1,250

Answer:

The scale factor equates to 3.

Detailed explanation:

Please refer to the provided image for clarity regarding this issue.

We know that

If two shapes are similar, then the ratio of their areas corresponds to the square of the scale factor.

Let

z -----> scale factor

x -----> area of polygon Q

y ----> area of polygon P

Thus, we have

so, we proceed with

Determining the area of polygon Q

The polygon Q can be divided into five distinct squares.

Refer to the additional figure N 2.

The area of polygon Q, which represents the total area of the five squares, is

Calculating the scale factor

Thus, we derive

By substituting the values, we find

Taking the square root of both sides results in

Thus,

The scale factor resolves to 3.

Sample Response: Rotations fall under rigid transformations, meaning they keep the figure’s size, lengths, shapes, and angle measurements unchanged. Despite this, the orientation of the figure does change. Line segments that connect the center of rotation to points on both the original figure and its rotated image are congruent in length. However, corresponding edges between matching vertices do not run parallel to each other.