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find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. use 3.14 for pie.
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there are 6 swimmers in a race. in how many ways can they finish in first and second place?
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a number cube has edges of 8 centimeters. what is the surface area of the number cube?
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in the sample of 80 students, 24 were open to discussing having classes during the summer. if there are 600 students in school, what is a reasonable estimate for the number of students that would be open to having summer classes
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which function rule is represented by the table?
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the table is x 0 1 2 3 and for y its 2 5 8 11
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what is the slope of a line that goes through (2, -2) and (5, 6)?
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The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

Substituting in the given values, we get:

V = 3.14 x 4^2 x 6
V = 3.14 x 16 x 6
V = 301.44 cubic inches (rounded to two decimal places)

Therefore, the approximate volume of the cylinder is 301.44 cubic inches.
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There are 6 swimmers and we need to find the number of ways they can finish in first and second place.

For the first place, any of the 6 swimmers can come in first. Once a swimmer has won, there are 5 swimmers left who can come in second.

Therefore, the number of ways the swimmers can finish in first and second place is:

6 x 5 = 30

So there are 30 ways for the swimmers to finish in first and second place.
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A number cube has six faces, each with an area of (8 cm) x (8 cm) = 64 square centimeters.

The surface area of the number cube is the sum of the areas of all six faces. Therefore, the surface area of the number cube is:

6 x 64 = 384 square centimeters

So the surface area of the number cube is 384 square centimeters.
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We can use proportions to estimate the number of students who would be open to having summer classes.

If 24 out of 80 students are open to having classes during the summer, we can set up a proportion:

24/80 = x/600

Where x is the number of students in the school who would be open to having summer classes.

To solve for x, we can cross-multiply and simplify:

80x = 24 * 600
80x = 14400
x = 180

Therefore, a reasonable estimate for the number of students who would be open to having summer classes is 180.
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I'm sorry, but I don't see a table attached to this question. Can you please provide more information or attach the table so I can answer your question accurately? Thank you!
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To find the function rule, we can look at the relationship between x and y in the table.

Notice that as x increases by 1, y increases by 3. This means that the rate of change between x and y is constant and equal to 3.

Using this information, we can write the function rule for this table as:

y = 3x + 2

This equation means that for any value of x, we can find the corresponding value of y by multiplying x by 3, and then adding 2.

Let's check the function rule using the values in the table:

- When x = 0, y = 3(0) + 2 = 2, which is correct.
- When x = 1, y = 3(1) + 2 = 5, which is correct.
- When x = 2, y = 3(2) + 2 = 8, which is correct.
- When x = 3, y = 3(3) + 2 = 11, which is correct.

Therefore, the function rule for the given table is y = 3x + 2.
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We can use the formula for slope to find the slope of the line that goes through the points (2, -2) and (5, 6).

The formula for slope, m, is:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the two points on the line.

Substituting the values from the given points, we get:

m = (6 - (-2))/(5 - 2)
m = 8/3

Therefore, the slope of the line that goes through (2, -2) and (5, 6) is 8/3.