what is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the cylinder

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Answer 1
Answer: The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\nstates\ (1)/(3)\ of\ the\ cylinder.\n\nThe\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\nthe\ cone\ is\ equal\ to\ (2)/(3).

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simplify complex fraction3/4 + 1/3/1/6 + 3/4
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Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?A.Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. B.Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. C.lDraw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. D.Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.

Please solve the following quadratic equation and show your work: x^2 -x =30

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Rewriting the equation as a quadratic equation equal to zero:
     x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
     (x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
     x + 5 = 0  => x = -5
     x - 6 = 0  => x = 6
Therefore, our solutions are x = -5 and x = 6.

Rachel draws a trend line through the following data
points. Did she draw the line correctly?

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Answer:

i think its A but im not sure its correct

Step-by-step explanation:

How many fractions are equalavent to 4/5

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Equivalent fractions are multiples of a fraction that is completely reduced. And there is an infinite amount of numbers to multiply 4/5 by, so there is an infinite number of fractions equivalent to 4/5.
It's infinite. There are an infinite amount of numbers.

A. using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept).B. write in words what the slope of the graph means in context.

C. write in words what the y-intercept of the graph means in context.

D. write in words what the graph of the line is showing.

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Final answer:

The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.

Explanation:

A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.

B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.

C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.

D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.

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Final answer:

In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.

Explanation:

We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).

A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.

The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.

A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.

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Figure ABCD is a rhombus with point A (3, −1). What rule would rotate the figure 270° counterclockwise?(x,y)→(−y,−x)
(x,y)→(−y,x)
(x,y)→(y,x)
(x,y)→(y,−x)

Answers

Answer:

The correct option is 4.

Step-by-step explanation:

Given information: ABCD is a rhombus with point A (3, −1).

If a figure rotated 90° counterclockwise, then

(x,y)\rightarrow (-y,x)

If a figure rotated 180° counterclockwise, then

(x,y)\rightarrow (-x,-y)

If a figure rotated 270° counterclockwise, then

(x,y)\rightarrow (y,-x)

Therefore the rule (x,y)\rightarrow (y,-x) would rotate the figure 270° counterclockwise.

The correct option is 4.

(x,y)→(y,−x)
.......

Type the equation that shows the pattern among this set of ordered pairs. (2, 4), (3, 8), (4, 12), (5, 16)

Answers

x + 1 y +4 and the next number would be (6, 20)
y=mx+b
m=slope
b=yint

slope=(y2-y1)/(x2-x1)
(2,4) (3,8)
Slope=(8-4)/(3-2)=4/1=4

y=4x+b
(x,y)
(2,4)
4=4(2)+b
4=8+b
-4=b

y=4x-4