Answer:
Answer is D.
Step-by-step explanation:
Multiply both sides by m.
Divide both sides by .
Answer:
Step-by-step explanation:
The distance between two points A(x₁,y₁) B(x₂,y₂) is given by the formula as follows :
It is used to find the distance between two points. It is an application of the Pythagorean theorem. Usually, the distance covered is equal to the product of speed and time. But when speed and time in not given but coordinates are given, then only we can use this formula.
Answer:
i)
Find the attached
ii)
The mathematical model that best fits the data is;
The quadratic model
Step-by-step explanation:
i)
A scatter-plot can easily be constructed using applications such as Ms. Excel.
In Ms. Excel, enter the data into any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.
Excel returns a scatter-plot chart as shown in the attachment below.
ii)
After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.
Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.
Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.
Find the attached for the various trend-lines fitted.
The mathematical model that best fits the data is;
The quadratic model
Since it has the largest R-squared value of 1.00
Answer:
The actual area of land is 80 mi² .
Step-by-step explanation:
Given that we have to find the actual area so first we have to square the ratio(scale factor) :
1 in : 5 mi
(1 in)² : (5 mi)²
1 in² : 25 mi²
Next, the actual area will be :
1 in² = 25 mi²
(1 × 3.2) in² = (25 × 3.2) mi²
3.2 in² = 80 mi²