The hypothenuse of a right triangle inscribed in a circle will cross through the midpoint of the circle
hence you know the diameter of the circle is 5
C= pi*d
Answer:
The answer to your question is: t = 4 hours
Step-by-step explanation:
Data
Milton v = 8 km/h
time = 4 hours
Harriet v = 16 km/h
Formula
v = d/t or d = vt
Process
Find the distance travel by Milton in 4 hours
d = (8 )(4) = 32 km
Find the distance travel by each person
Milton d = 32 + 8t
Harriet d = 16t
Match them 16t = 32 + 8t
Solve for t 16t - 8t = 32
8t = 32
t = 32/8
t = 4 hours
Answer:
Im assuming you solve 17x plus 11 then add 18x +4.
Step-by-step explanation:
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:
27.76 grams will be present in 500 years
Step-by-step explanation:
The given formula is , where A is the value of the substance in t years, and is the initial value
∵ The half-life is a substance is 375 years
- Substitute A by and t by 375 to find the value of k
∴
- Divide both sides by
∴
- Insert ㏑ in both sides
∴ ㏑( ) = ㏑ ( )
- Remember ㏑ ( ) = n
∵ ㏑ ( ) = 375 k
∴ ㏑( ) = 375 k
- Divide both sides by 375
∴ k ≈ -0.00185
∴
∵ 70 grams is present now
- That means the initial value is 70 grams
∴ = 70
∵ The time is 500 years
∴ t = 500
- Substitute the values of and t in the formula
∵
∴ A = 27.76
∴ 27.76 grams will be present in 500 years