The formula for volume of a cylinder is:
Volume = PI x r^2 x h, where r is the radius and h is the height.
Volume = PI x 18^2 x 40
Volume = PI x 324 x 40
Volume = PI x 12,960
The exact volume would be 12,960PI cubic ft.
The decimal answer would vary depending on what value of PI is used.
For an equation to be proportional, it must have no y intercept, and it must have a slope. So,
<span>y=4x+4 This equation isn't proportional because it has a y-intercept (+4)
y=4x+2 </span>This equation isn't proportional because it has a y-intercept (+2)
y=4x This equation is proportional because it has no y-intercept, and a slope.
17. The letter is J
The letter appears 3 times
18. Lefthanded students = 4 students
<h3>How to determine the factors</h3>
17. We have that 1/4 of the months of the year start with the same letter
It is important to note that:
January, June and July all start with the same letter
The letter is J
The letter appears 3 times
18. Total number of students = 24
5/ 6 are right handed
Right handed students = 24 × 5/ 6 = 4 × 5 = 20 students
Lefthanded students = 24 - righthanded students
Lefthanded students = 24 - 20
Lefthanded students = 4 students
Thus, we can see that the letter that appear in 3 months of the year is J
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Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:
- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:
So, we have:
Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:
Where:
m =Rate = 9.0
So, we have:
Expand
Represent as a function
Hence, the function that models the table is:
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:
Hence, the amount earned in 7.5 hours is $67.5
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