A cone has a base radius of 2 millimeters and a height of 24 millimeters.What is the volume of the cone?

A.
16π mm3

B.
384π mm3

C.
96π mm3 <-----

D.
32π mm3

Answers

Answer 1

Answer: The answer is D. 32? mm3. The volume of the cone is: V = 1/3 * π * r^2 * h, where r is the radius and h is the height. We know that: r = 2 mm and h = 24 mm. Therefore, the volume of the cone is: V = 1/3 * π * r^2 * h = 1/3 * π * 2^2 * 24 = 1/3 * π * 4 * 24 = 1/3 * π * 96 = 32 π mm^3.

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The graph below represents which system of inequalities?graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.A y < −2x + 6y < x + 2B y ≤ −2x + 6y ≤ x + 2C y < 2 over 3x − 2y > 2x + 2D None of the above
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*extra points* solve $\sqrt[3]{64}$

Answers

Answer: The answer is 4.

Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: $4^(3)=64$ .

What is the slope of a line parallel to the line whose equation is 3x - 18y = -378. Fully reduce your answer.

Answers

9514 1404 393

Answer:

1/6

Step-by-step explanation:

The slope is the coefficient of x when you solve for y. A parallel line will have the same slope.

-18y = -3x -378

y = 1/6x +21

The slope of the parallel line is 1/6.

Final answer:

By rearranging the given equation into slope-intercept form (y = mx + b), we can identify the slope as 1/6. Therefore, a line parallel to the original would also have a slope of 1/6.

Explanation:

The equation provided is 3x - 18y = -378. To find the slope of this line, we first need to rearrange the equation into y = mx + b format where 'm' represents the slope. The equation becomes y = 3/18 x + 21.

The slope of this line is 3/18, which simplifies to 1/6. The slope of a line parallel to this would also be 1/6, because parallel lines have equal slopes. So, the slope of the line parallel to the given line is 1/6.

Learn more about Slope here:

brainly.com/question/34849567

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What is the y-intercept of the line?

y= -2x - 8

y-intercept =

Answers

Like I said on the other question. Slope will ALWAYS be the number beside x and y-intercept will always be after that.

Slope-intercept form = y = mx + b

Slope goes where m is and y-intercept goes where b is.

Hope this helps!

Answer:

-8

Step-by-step explanation:

Margaritas is a very popular restaurant. Occasionally, the restaurant provides lunch and/or dinner for a local charity house. Each lunch costs $6.50. Each dinner costs $10.25. The restaurant's expenses for providing the meals cannot exceed $1,183 per trimester. If x represents the number of lunches and y represents the number of dinners, what domain best fits the situation

Answers

Given:
lunch cost = $6.50
dinner cost = $10.25
Cannot exceed $1,183 per trimester

x represents the number of lunches
y represents the number of dinners

6.50x + 10.25y < 1,183

All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.(-2, 3) (0, -1) (2, -5) (-1, -3)

Answers

You need to sub your X and Y values in. Take (-1,-3) for example: if you sub in these values, your equation y=-2x -1 will become (-3)=-2(-1) - 1. However, if you simplify it out, you'll realise that it doesn't make sense as you'll get -3=-1 which is clearly untrue, thus (-1,-3) is the only pair that doesn't satisfy your function.

A storage company has a rectangular storage area 20m long, 8m wide and 2.8m wide. How many boxes of dimensions 1m x 0.5m x 2.5m can fit into this storage area?

Answers

For this question I think you can find the volume of the storage room and then divide that by the volume of the boxes going into the storage room to see how many boxes can fit into it.
448 cubic meters in the storage area divided by 1.25 cubic meters per box equals 358.4 boxes.

you might need to put 358 since it would be weird to only have .4 of a box.

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