A right rectangular prism is sliced in a way such that the plane passes through three intersecting edges, cutting off a corner of the prism, what is the resulting cross section?

Answer:

Read

Step-by-step explanation:

Mean: add all the values and divide by the number of values

Median: when in order from least to greatest, the middle value

Mode: The value that ocoours most often

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\(y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}\)

The correct statements regarding the transformations to the volumes are given as follows:

1. A cone's radius increases x 3: -> The cone's volume will increase x 9.

2. A cone's height increases x 3: -> The cone's volume will increase x 3

3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.

4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.

The equations that give the volumes of each solid are given as follows:

Then the increases are given as follows:

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There are 12 possible outcomes when considering all combinations of 4 play dates and 3 show times.

For each play date, you have 3 options for the show time.

Since the events are independent and all options are equally likely, you can multiply the number of options together to find the total number of possible outcomes.

Number of possible outcomes

= Number of play dates × Number of show times

= 4 × 3

= 12

Therefore, there are 12 possible outcomes when considering all combinations of 4 play dates and 3 show times.

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Answer:

the answer is -25

Step-by-step explanation:

the answer is -25

Answer: 3.2z+80

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

B I G  B R A I N :-))

Given,Initial velocity of the rock, u = 20 m/sHeight of the rock at t seconds, h = 20t - 1.86t²

(a) To find the velocity of the rock after 2 seconds:We can find the velocity using the formula of velocity: v = u + atSubstitute the values:u = 20 m/st = 2 sWe know that acceleration on mars is equal to -3.72 m/s² (negative because of gravity)Let's put all the values and find the velocity:v = 20 - 3.72 × 2v = 12.56 m/sTherefore, the velocity of the rock after 2 seconds is 12.56 m/s

(b) To find the velocity of the rock when its height is 30 m on its way up:On its way up, the velocity of the rock will be decreasing and becomes zero at the maximum height.Let's consider, when the height is 30 m. We have to find the velocity, v.Substitute the value of h in the equation, h = 20t - 1.86t²30 = 20t - 1.86t²1.86t² - 20t + 30 = 0We have to solve this quadratic equation to find t.Let's use the quadratic formula:t = (20 ± √(20² - 4 × 1.86 × 30)) / 2 × 1.86t = (20 ± √(400 - 223.2)) / 3.72t = (20 ± √(176.8)) / 3.72Let's find the positive value of t, since we need to find the velocity of the rock when its height is 30 m on its way up.t = (20 + √(176.8)) / 3.72t = 4.99 sNow, we can find the velocity of the rock using the formula:v = u + atv = 20 - 3.72 × 4.99v = 1.6 m/sTherefore, the velocity of the rock when its height is 30 m on its way up is 1.6 m/sOn its way down, the velocity of the rock will be increasing. Let's find the velocity of the rock when its height is 30 m on its way down.

Since the time of ascent = time of descent (symmetric), the time taken to reach a height of 30m is the time taken to fall from a height of max height. Therefore, the time taken by the rock to fall from the max height to 30m is given as:t = 4.99 seconds - 4.99 secondst = 0sLet's find the velocity of the rock using the formula:v = u + atv = 20 - 3.72 × 0v = 20 m/sTherefore, the velocity of the rock when its height is 30 m on its way down is 20 m/s.

To summarize, the velocity of the rock after 2 seconds is 12.56 m/s.The velocity of the rock when its height is 30 m on its way up is 1.6 m/s.The velocity of the rock when its height is 30 m on its way down is 20 m/s.

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Answer:

A twin prime is a prime number that is either 2 less or 2 more than another prime number

Answer:

x>-3

Step-by-step explanation:

-4x<12

-4x÷-4<12÷-4

x>-3 (flip the symbol bc its divided by a negative number)

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

13 seconds.

Step-by-step explanation:

Given

\(h = -4.9(t - 13)(t + 2).\)

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

\(h = -4.9(t - 13)(t + 2).\) becomes

\(0 = -4.9(t - 13)(t + 2).\)

Divide through by -4.9

\(0 = (t - 13)(t + 2).\)

Reorder the expression

\((t - 13)(t + 2) = 0.\)

Split

\(t-13 = 0\) or \(t + 2 = 0\)

This gives:

\(t = 13\) or \(t = -2\)

But time can't be negative, So:

\(t = 13\)

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The expressions are 6/16 and 7/24.

Then the LCM of the 16 and 24 will be 48.

Then the expressions will be 18/48 and 14/48.

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.

Thus, the correct option is A.

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After the conversion of $500 in japanese yen Ben will have 61,650 yen.

According to the question.

The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.

Also, it is given that

$1 = 123.3yen

Therefore,

The number of yen Ben have after the conversion of dollars in yen

= 500 × 123.3

= 61,650

Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.

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Answer:

15/4

Step-by-step explanation:

\(t=\frac{\frac{5}{2} }{\frac{2}{3} } =\frac{(5)(3)}{(2)(2)} =\frac{15}{4}\)

I hope this help you

Translations, reflections, and rotations produce a figure that is congruent to the original figure.

When we perform translations, reflections, and rotations on a figure, the resulting figure maintains the same size, shape, and orientation as the original figure. In other words, the transformed figure is congruent to the original figure.

Here's a brief explanation of each transformation:

1. Translations: A translation involves sliding a figure in a particular direction without changing its orientation or shape. Every point of the figure moves the same distance and direction. The resulting figure is congruent to the original because all corresponding sides and angles remain the same length and measure.

2. Reflections: A reflection involves flipping a figure over a line, called the line of reflection. Each point of the figure is mirrored across the line, creating a symmetrical image. The resulting figure is congruent to the original because the distance between corresponding points remains the same, and the angles formed between intersecting lines are preserved.

3. Rotations: A rotation involves turning a figure around a fixed point, known as the center of rotation. The figure is rotated by a specific angle in a clockwise or counter clockwise direction. The resulting figure is congruent to the original because all corresponding angles and side lengths remain unchanged.

In each of these transformations, the congruency of the resulting figure to the original figure is a fundamental property. Congruent figures have the same shape and size, even though they may be positioned differently in space. This property allows us to apply the concept of congruence in geometry to establish relationships, prove theorems, and solve geometric problems.

Therefore, when we perform translations, reflections, and rotations on a figure, we produce a transformed figure that is congruent to the original figure.

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The axis of symmetry is the one in option D, x = 2-

For a quadratic equation whose vertex is (h, k), the axis of symmetry is:

x = h

Here we have the quadratic equation:

y = −3(x − 2)² +1

We can see that the vertex is (2, 1) because the equation is in vertex form, and thus, we can conclude that the axis of symmetry of the equation is:

x = 2

So the correct option is D.

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Pregunta completa:

Al llegar al hotel nos an dado un mapa con los lugares de la ciudad nos dijieron que 5 cm del mapa que representaban 600 metros de la realidad hoy queremos ir a un par que que se encuentra a 8 cm del hotel en el mapa. ¿A qué distancia del hotel está la pareja?

Respuesta: 960m

Explicación paso a paso:

Dado que:

5 cm en el mapa equivale a 600 m en tierra Por lo tanto,

8 cm en el mapa será equivalente a:

5 cm en el mapa - - - - - -> 600 m en el suelo 8cm - - - - - - -> y metros en el suelo

Usando la multiplicación cruzada

y × 5 = 8 × 600

5y = 4800 Luego,

y = 4800/5

y = 960m

Por lo tanto, 8 cm en el mapa serán 960 m en realidad.

Answer:

a 1,680 metros

Step-by-step explanation:

5:600  -  600/5= 120 cada cm

14x120= 1,680 metros

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

How to Determine location?

The most popular method is to locate the place by utilizing coordinates like latitude and longitude or, if a street address is known, by using them. Although less accurate than providing coordinates or an address, absolute location can also be the name of the city, area, or postal code in which a place is located.

So,

According to the question,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

Hence,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

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The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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a) A circle graph inaccurately displays the data because the data is not about parts of a whole.

b) Line graph would best display the data.

A circle is divided into sectors that each represent a component of a whole to create a circle graph, which is a visual representation of data.

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

a) Since circle graphs are designed to depict data consisting of parts of a whole, a data set consisting of temperature variations over the course of a week would be wrongly displayed by one.

b) Since line graphs are the most appropriate for a data set that is tied to time, a line graph would be the most effective way to display the given data.

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Answer:

The number 64 has 4 in the ones place and 6 in the tens place. Explore different numbers with your children. Discuss how many tens and how many ones (units) there are in each number.

\

Step-by-step explanation:

Answer:

I cannot complete this without an image but the answer you might be looking for is 16/25 that is the number simplified when put into decimal form.

Step-by-step explanation:

I did the best I could with what you gave me Vote Brainiest!!

The probability of selecting the word "States" is about 1.84%, the probability of selecting either "the" or "States" is about 6.92%, and the probability of selecting a word that is neither "the" nor "States" is about 93.08%.

(a) The probability of selecting the word "States" from the story is determined by dividing the number of occurrences of "States" by the total number of words in the story. In this case, the probability is 92/5000, which simplifies to 0.0184 or 1.84%. (b) To find the probability of selecting either "the" or "States," add the individual probabilities of each word. The probability of "the" is 254/5000 or 0.0508 (5.08%), and we already calculated the probability of "States" as 1.84%. The combined probability is 0.0508 + 0.0184 = 0.0692, or 6.92%. (c) To determine the probability of selecting a word that is neither "the" nor "States," subtract the combined probability of selecting either of those words from 1. The probability of selecting neither "the" nor "States" is 1 - 0.0692 = 0.9308, or 93.08%.

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Answer:

A

Step-by-step explanation:

7d/7=d

-56/7=-8

7(d-8)

The matrix A that represents the set W, consisting of vectors of the form [r, s, t] with real numbers, is constructed by organizing the coefficients of r, s, and t as the columns of A. The resulting matrix A is given by A = [0 0 2 48; s 2 1 0; 0 -5 1 0; 0 0 0 1]

Let's break down the construction of matrix A step by step.

Given that W is the set of all vectors of the form [r, s, t] where r, s, and t are real numbers, we want to find a matrix A such that the column space of A (Col(A)) represents W.

The matrix A will have as its columns the coefficients of r, s, and t in the given expression.

Column 1 of A: Coefficients of r

In the expression, we have 5sr + 3t, so the coefficient of r is s. Therefore, the first column of A will be [0, s, 0, 0] since there is no r term in the expression.

Column 2 of A: Coefficients of s and t

In the expression, we have 2sr - 5t. The coefficient of s is 2, and the coefficient of t is -5. Therefore, the second column of A will be [0, 2, -5, 0] with the corresponding coefficients.

Column 3 of A: Coefficients of r, s, and t

In the expression, we have 2r + s + t. The coefficients of r, s, and t are 2, 1, and 1, respectively. Therefore, the third column of A will be [2, 1, 1, 0] with the corresponding coefficients.

Column 4 of A: Coefficients of r and t

In the expression, we have 48r + t. The coefficient of r is 48, and the coefficient of t is 1. Therefore, the fourth column of A will be [48, 0, 0, 1] with the corresponding coefficients.

Putting it all together, the matrix A that represents W = Col(A) is:

A = [ 0 0 2 48 ]

[ s 2 1 0 ]

[ 0 -5 1 0 ]

[ 0 0 0 1 ]

Each column of A corresponds to the coefficients of r, s, and t in the given expression, forming the column space that represents the set W.

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The maximum-likelihood estimates of the probabilities for clear, cloudy, and rainy summer days next year can be derived from this year's weather data. The estimates are given by the ratios of the number of days with each type of weather to the total number of days in the summer. The maximum-likelihood estimates are pclear = nclear/100, pcloudy = ncloudy/100, and prainy = nrainy/100.

To find the maximum-likelihood estimates of pclear, pcloudy, and prainy, we divide the number of days with each type of weather by the total number of days in the summer. Given that nclear = 62, ncloudy = 28, nrainy = 10, and the total number of days in the summer is 100, we can calculate the estimates as follows:

pclear = nclear/100 = 62/100 = 0.62

pcloudy = ncloudy/100 = 28/100 = 0.28

prainy = nrainy/100 = 10/100 = 0.1

These estimates represent the probabilities of each type of weather occurring on a summer day next year, based on the observed frequencies from this year's data. For example, the estimate of pclear suggests that there is a 0.62 (or 62%) chance of a summer day next year being clear.

It is important to note that these estimates assume that next summer's weather will follow the same pattern as this year's. However, weather patterns can vary, and other factors may influence the probabilities of different weather types. Therefore, these estimates provide a reasonable approximation based on the available data, but they may not accurately reflect the actual probabilities for next year's weather.

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