A function can be represented by equations and tables
- 4 users are logged in by 9am
- The domain is [3,23] and the range of the function is [3,4]
<h3>The number of users at 9am</h3>
The function is given as:
At 9am, x = 9.
So, we have:
Simplify
Approximate
Hence, 4 users are logged in by 9am
<h3>The domain</h3>
Set the radical to 0
Solve for x
The maximum time after midnight is 23 hours.
So, the domain is [3,23]
<h3>The range</h3>
When x = 3, we have:
When x = 23, we have:
So, the range of the function is [3,4]
Read more about domain and range at:
brainly.com/question/2264373
Answer:
B. π(3/2)²h
(27/4)π cubic inches
Step-by-step explanation:
A. The formula for the volume of a cylinder is ...
V = πr²h
The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...
V = π(3/2)²h . . . . . . matches choice B
__
B. When h=3, the volume evaluates to ...
V = π(9/4)(3) = (27/4)π . . . . cubic inches
Answer:
25.1 inches
Step-by-step explanation:
Radius of the circle = 4 inches
We have to calculate the value of Circumference of the circle.
The formula to calculate the circumference is:
Circumference = 2πr
We have to use π = 3.14, as said in the question:
So using the values, we get:
Circumference = 2 x 3.14 x 4 = 25.12 inches
Number of decimals in radius is zero, so we have to round the answer to one decimal place as said in the question.
Therefore, the circumference of the circle rounded to one decimal place will be 25.1 inches
10. (5,8)(-3,7)
slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8
11. (5,-2)(3,-2)...since both y values are the same, this line is a horizontal line with a 0 slope.
12. (-4,7)(8,-1)
slope = (-1 - 7) / (8 - (-4) = -8 / (8 + 4) = -8/12 = - 2/3
13. (6,-3)(6,4)....since both x values are the same, this line is a vertical line with a slope that is undefined
14. -2/5
<span>223 degrees
To find the missing angle, you first have to add up all the numbers you know. So 125, 132, 148, 124, 122, 106 and 100 degrees add up to 857 degrees.
We know that the total degrees of an octagon is 1080 degrees, so to find the last number, we would simply do 1080 minus 857 which is 223 degrees.
Hope this helps!</span>
