If r = 7 units and h = 10 units, what is the volume of the cylinder shown above? Use 3.14 for.
To calculate the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that r = 7 units and h = 10 units, you can substitute these values into the formula:
V = 3.14 x (7)^2 x 10
V = 3.14 x 49 x 10
V = 3.14 x 490
V = 1538.6 cubic units
Therefore, the volume of the cylinder is 1538.6 cubic units.
Which of the following best describes the equation below?
y = 1 over 5 (Fraction)x - 6
The equation y = 1/5x - 6 is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.
In this equation:
- The slope (m) is 1/5, which means for every 1 unit change in x, y changes by 1/5 units.
- The y-intercept (b) is -6, which means the line intersects the y-axis at y = -6.
Therefore, this equation represents a line with a slope of 1/5 and a y-intercept of -6.
Is it Linear or nonlinear
The equation y = 1/5x - 6 is a linear equation because the highest power of the variable, which is x, is 1. In general, linear equations represent straight lines on a graph, and they have a constant rate of change (slope) throughout the graph. Since this equation is in the form y = mx + b, where m is the slope and b is the y-intercept, it is considered a linear equation.
What is the square root of 25
The square root of 25 is 5. This is because 5 * 5 = 25, so the square root of 25 is equal to 5.
Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights when they exercise. The results of the poll are as follows:14 members do not use a treadmill or lift weights31 members use a treadmill but do not lift weights28 members lift weights but do not use a treadmill17 members use a treadmill and lift weights Which two-way table represents the information found in the poll?
To create a two-way table representing the information in the poll, we can start by listing the categories "Use Treadmill" and "Lift Weights," and then fill in the values based on the given information.
The categories are:
- Use Treadmill (T)
- Do not Use Treadmill (Not T)
- Lift Weights (W)
- Do not Lift Weights (Not W)
Given information:
- 14 members do not use a treadmill or lift weights
- 31 members use a treadmill but do not lift weights
- 28 members lift weights but do not use a treadmill
- 17 members use a treadmill and lift weights
Using this information, we can fill in the two-way table as follows:
```
+----------------------+----------+----------+----------+
| | Use T | Not Use T| Total |
+----------------------+----------+----------+----------+
| Lift Weights (W) | 17 | 28 | 45 |
+----------------------+----------+----------+----------+
| Not Lift Weights(NotW)| 14 | 31 | 45 |
+----------------------+----------+----------+----------+
| Total | 31 | 59 | 90 |
+----------------------+----------+----------+----------+
```
Therefore, the two-way table representing the information in the poll is shown above.