A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?
A. 10 cubic inches
B. 15 cubic inches
C. 30 cubic inches
D. 60 cubic inches
E. 90 cubic inches​

The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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The solution to given equation 2(5 - 10x) + 8x = -19x + 52 is x = 2

In this question, we have been given an equation:

2(5 - 10x) + 8x = -19x + 52

We need to solve given equation for x.

2(5 - 10x) + 8x = -19x + 52                 ................(Given equation)

10 - 20x + 8x = -19x + 52                   ................(Evaluate the bracket )

10 - 12x + 19x = 52                             ...............(Add 19x on each side)

10 + 7x = 52

7x = 52 - 10                                        ...............(Subtract 10 from each side)

7x = 42

x = 42/7                                              ..............(Divide each side by 7)

x = 6                                                

Therefore, the solution to given equation 2(5 - 10x) + 8x = -19x + 52 is       x = 2

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Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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Answer:

6 units

Step-by-step explanation:

Given the following question:

Point A = (-4, 3) = (x, y)
Point B = (-4, -3) = (x, y)

To find the distance between the following points we must first plot the points on the coordinate plane.

Point A: Move over to the left four times, move up three times.
Point B: Move over to the left four times, move down three times.

The distance between the two points given is "six units." Since the x values are the same, and the y values are opposites from each other doubling their distance by two.

Hope this helps.

❖ Ralph plotted the points (-4, 3) and (-4, -3) on a coordinate grid. What is the distance, in units, between the points Ralph plotted? (Enter your numerical answer in the box, do not include words or spaces.)

— — — — — — — — — —

- To get the distance between two points, we may use formula

Since Ralph plotted the points (-4, 3) and (-4, -3) on a coordinate grid then, the givens are...

Therefore, the distance between two given points is 6.

Answer:

Step-by-step explanation:

On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.

After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.

Therefore we can write the following equation:  (Where d = number of days)

B = 10 + 8d

W = 0 + 9d = 9d

We are told that eventually they will sell the same amount which means

B = W

This means we can say,

10 + 8d = 9d

If we subtract 8d from both sides we get

10 = d

Therefore it will take 10 days for them to sell the same amount of cookie dough.

Answer: 10 days

10 + 8 x 10 = 90

9 x 10 = 90.

It will take 10 days for Ben and Winston to sell the same amount of cookie dough.

Hope this helps you!

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

The function that h(x) results in is h(x) = g(x - 7π/8) - 1

We will explore which function h(x) is created when g(x) is translated 7pi/8 units right and 1 unit down. By translating g(x) 7pi/8 units right, a horizontal shift occurs, and by translating it 1 unit down, a vertical shift occurs.

This shift creates a new function, h(x), which can be represented as h(x) = g(x - 7π/8) - 1. By applying this transformation, you can determine the new function h(x) that results from the translation of g(x). The resulting function h(x) will be reflected in this shift.

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Answer:

9 \(\frac{1}{3}\)

Step-by-step explanation:

\(\frac{4}{1}\) x \(\frac{7}{3}\) = \(\frac{28}{3}\) = 9 \(\frac{1}{3}\)

Based on the given assumptions, we can assume that the model predicts the number of disasters at a given temperature rise linearly. However, it is important to note that this model is based on certain assumptions that may or may not be accurate.

These assumptions include the mean value being linear in temperature rise and the actual number of disasters being normally distributed with constant variance.

Given the true value of 16 that was left out, we can use the standard error of prediction and the prediction from the regression line to calculate a t statistic. The null hypothesis is that the point belongs to this line under these assumptions.

To calculate the t statistic, we can use the formula:

t = (observed value - predicted value) / standard error of prediction

Using the given information, we can calculate the t statistic as:

t = (16 - predicted value) / standard error of prediction

Once we have the t statistic, we can calculate the p-value using a t-distribution table or a statistical software. The p-value represents the probability of getting a t statistic as extreme or more extreme than the one we calculated under the null hypothesis.

Based on the p-value, we can determine if we reject or fail to reject the null hypothesis. If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that the point does not belong to the line. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that the point belongs to the line.

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Recall that a periodic function is a function that repeats itself at regular intervals, and the period is the distance between the repetitions.

Notice that the given graph repeats itself regularly, then it must be periodic.

From the given diagram we get that the period of the given graph is:

Answer: Option C.

From the given Bayesian network, we can verify the conditional independence relationships using the Markov random field (MRF) graph as follows:

The conditional independence relationship where b is (marginally) independent of e can be verified from the MRF graph. In the MRF graph, if there is no direct edge between nodes b and e, it implies that b and e are conditionally independent. This is because in an MRF, the absence of an edge between two nodes indicates conditional independence.

The conditional independence relationship where b is independent of e given f can also be verified from the MRF graph. If, in the MRF graph, there is a path from b to e that does not go through f, it implies that b and e are independent given f. This is because in an MRF, the existence of a path that does not go through a specific node signifies conditional independence between the nodes at the endpoints of the path.

However, the conditional independence relationship where b is independent of e given (h, k, and f) cannot be directly verified from the MRF graph. The MRF graph does not provide specific information about the relationship between b and e when conditioned on multiple variables like (h, k, and f). To determine this conditional independence relationship, additional information or specific conditional probability distributions would be required.

In summary, the conditional independence relationships involving b and e, such as b being (marginally) independent of e and b being independent of e given f, can be verified from the Markov random field graph. However, the conditional independence relationship involving b being independent of e given (h, k, and f) cannot be directly verified from the MRF graph without additional information.

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Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

Answer: There are infinite solutions.

Step-by-step explanation:

-3(x+2) = -6-3x

-3x-6 = -6-3x

-6=-6

INFINITE SOLUTIONS

Answer:

0

Step-by-step explanation:

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

m=(4-4)/(4-(-8))

m=0/(4+8)

m=0/12

m=0

Answer:

length and breadth so it has dimesions of 2

Answer:

Plane has a dimension of   2    

Step-by-step explanation:

A plane is a flat, 2-D Surface.

Answer:

x=-5

Step-by-step explanation:

4x-2x = -10

2x = -10

x= -5

The solution for the equation 4x - 10 = 2x is x=-5.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as:-

4x + 10 = 2x

Take the variables in the same side and solve for the value of x.

4x-2x = -10

Subtract the term 2x from the term 4x to get the value of x.

2x = -10

Divide the number -10 by 2 to get the exact value of x.

x = -5

Therefore, the solution for the equation 4x - 10 = 2x is x=-5.

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Answer:

Here is the answer

BRAINLIEST ME PLEASE

CORRECT me if I am wrong

Answer:

i think its 4.8 x 10^7 meters

Step-by-step explanation:

hope this is right

The resultant point after the given transformations is B''(3, 3).

To find the resultant point after the given transformations, we can follow these steps:

Translation: Point B(5, -2) is translated 4 units left and 3 units up. To perform the translation, we subtract the translation values from the original coordinates of B.

New coordinates after translation:

\(B' = (5 - 4, -2 + 3)\)

\(B' = (1, 1)\)

Dilation: The translated point B' is then dilated by a factor of 3 using the origin (0, 0) as the center of dilation.

To perform the dilation, we multiply the coordinates of B' by the dilation factor.

New coordinates after dilation:

\(B'' = (3 \times 1, 3 \times 1)\)

\(B'' = (3, 3)\)

Therefore, the resultant point after the given transformations is B''(3, 3).

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Unit Rate is the correct answer, I know because it is the correct answer

Answer:

Question 1 is A  (7/10) Question 2 is b (39/56)

Step-by-step explanation:

Since lines m and n are parallel lines, the value of x in the image above is equal to 19.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

In Mathematics, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.

By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:

6x + 4 + (4x - 14) = 180

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19.

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Answer:

I tried this and I found that the y-value here is -4

Answer:

-4/A

Step-by-step explanation:

Edge2020 Unit test prep

The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

The value of x that makes the given image to be a rectangle is: x = 2.5

The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:

From the given parameters, we see that half of the diagonals have been labelled and as such we have:

8x - 3 = 4x + 7

Rearrange to have like terms on same side and so we have:

8x - 4x = 7 + 3

4x = 10

x = 10/4

x = 2.5

Thus, the value of x from the calculation above of the rectangle is 2.5

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Answer:

x = 26/45

Step-by-step explanation:

Answer:

Given Question

Solve for x :

\(\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} \)

\( \green{\large\underline{\sf{Solution-}}}\)

Given expression is

\(\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} \)

\(\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}\)

\(\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x\)

\(\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x\)

\(\rm :\longmapsto\:19x - 21 = 5 - 9x\)

\(\rm :\longmapsto\:19x + 9x = 5 + 21\)

\(\rm :\longmapsto\:28x = 26\)

\(\rm :\longmapsto\:x = \dfrac{26}{28} \)

\(\bf\implies \:x = \dfrac{13}{14} \)

Consider LHS

\(\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}\)

On substituting the value of x, we get

\(\rm \:  =  \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}\)

\(\rm \:  =  \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}\)

\(\rm \:  =  \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}\)

\(\rm \:  =  \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}\)

\(\rm \:  =  \: \dfrac{ -5}{28} - \dfrac{8}{21}\)

\(\rm \:  =  \: \dfrac{ -15 - 32}{84}\)

\(\rm \:  =  \: - \: \dfrac{47}{84}\)

Consider RHS

\(\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} \)

On substituting the value of x, we get

\( \rm \:  =  \: \dfrac{5}{6} - \dfrac{39}{28} \)

\( \rm \:  =  \: \dfrac{70 - 117}{84}\)

\( \rm \:  =  \: - \dfrac{47}{84}\)

Hence, LHS = RHS

Hence, Verified.

The phrase "number of values for which a certain condition holds" is referred to as multiplicity. The phrase, for instance, can be used to describe the magnitude of the totient valence function or the frequency with which a given polynomial equation has a root at a specific location.

Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

Hence ,Multiplicity means the quality or state of being multiple or various. and

the number of components in a system (such as a multiplet or a group of energy levels)

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Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.