If k= 2, what is the value of k3 - (k - 10) + 4k?

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Work Shown:

Use that given info to say the following:

P(LC given S) = P(LC and S)/P(S)

P(LC and S) = P(LC given S)*P(S)

P(LC and S) = 0.31*0.226

P(LC and S) = 0.07006

P(LC and S) = 0.07

This problem is an example of using conditional probability.

I used "and" in place of the intersection symbol \(\cap\)

Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.

Answer:

La respuesta esta abajo

Step-by-step explanation:

La pregunta no está completa porque no contiene gráficos, pero te mostraré cómo responderla.

La ecuación de un gráfico de línea recta viene dada por:

y = mx + b; donde y y x son variables, m es la pendiente de la gráfica y b es la intersección en y (que es el valor de y cuando x es 0)

Dado que la ecuación de la gráfica es y = mx, comparando con la ecuación de una línea recta (y = mx + b), podemos concluir que la gráfica con una ecuación y = mx, tiene una pendiente de my una intersección con y de 0.

Esto significa que la gráfica pasa por el origen sin tocar el eje y. Además, la gráfica tiene una pendiente positiva.

a) The common radius of the reversed curve, the distance between the parallel tangents, and the stationing of the new PT can vary depending on the specific measurements and layout of the compound curve.

b) Measure the distance between the two outer tangent lines. This distance represents the distance between the parallel tangents of the reversed curve.

c)  The stationing of the new PT can be calculated by subtracting the distance between X and Y from the stationing of point A.

To replace the compound curve with a simple curve that is tangent to the three tangent lines and forms a reversed curve with parallel tangents and equal radii, you can follow these steps:
a. Common radius of the reversed curve:
1. Draw the compound curve and the three tangent lines.
2. Find the point of tangency between the compound curve and the middle tangent line. Let's call this point A.
3. Draw a line perpendicular to the middle tangent line at point A. This line represents the centerline of the reversed curve.
4. Measure the distance between point A and the middle tangent line. This distance is equal to the common radius of the reversed curve.

b. Distance between the parallel tangents:
1. Measure the distance between the two outer tangent lines. This distance represents the distance between the parallel tangents of the reversed curve.

c. Stationing of the new PT:
1. Determine the stationing of the point of tangency between the compound curve and the middle tangent line. Let's call this stationing value X.
2. Determine the stationing of the point where the reversed curve starts. Let's call this stationing value Y.
3. The stationing of the new PT (point of tangency between the reversed curve and the middle tangent line) can be calculated by subtracting the distance between X and Y from the stationing of point A.
Remember, the common radius of the reversed curve, the distance between the parallel tangents, and the stationing of the new PT can vary depending on the specific measurements and layout of the compound curve.

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Answer: Z = 83

X = 7

Step-by-step explanation:

Z = 83 because the opposite side is also 83 and they are the same angle. X = 7 because the whole thing equals 360 and 83 +83 = 166 and 360 - 166 = 194 and 194 divided by 2 equals 97 and 15 x 7 - 8 = 97 and the other side is also the same because the angles are the same

the value of Y is when X crosses the X axis.

Answer: 50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).

In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)

Comparing it with the given equation, we can identify the following:

\(Slope \: (m) = 1/2\)

The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.

To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).

Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).

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The expressions that are equivalent to 10-6 are: a. 1000000 and b. 1 C. 106.

The expression 10-6 represents the value of 10 raised to the power of -6, which is equivalent to 1 divided by 10^6 or 1/1000000. We need to identify the expressions that have the same numerical value as 10-6.

a. 1000000: This expression represents the number one million, which is equal to 10^6. Therefore, it is equivalent to 10-6.

b. 1 C. 106: This expression is the combination of 1 and 10^6, denoted by the notation "C." It signifies that 1 is multiplied by 10^6, resulting in the value of one million. Hence, it is equivalent to 10-6.

The other expressions do not have the same numerical value as 10-6. Expressions d, e, and f represent different powers of 10 or combinations that do not equal 10-6.

Therefore, the expressions a. 1000000 and b. 1 C. 106 are equivalent to 10-6.

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The equation has infinite solutions which lie on the graph of this equation.

We have the following equation -

y = 8 - 2x

We have to solve for the possible values of x and y for which the equation is satisfied.

The rearrangement of a mathematical equation is process of expressing a variable in a equation in terms of other variables, constants etc.

According to the question, we have the following equation -

y = 8 - 2x

Rearranging the equation -

y = - 2x + 8

Now, plot the equation on graph - (Graph is attached at the end)

All the coordinates on this line satisfy the equation → y = 8 - 2x.

Hence, the equation has infinite solutions which lie on the graph of this equation.

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The number of the last locker the student opens is 1996.

The student starts by opening locker 1 and then skips one, opens the next one, skips one, and so on. The pattern of open and closed lockers can be thought of as a binary sequence where open lockers are represented by 1 and closed lockers are represented by 0. The student's actions can be thought of as a process of repeatedly dividing the lockers into smaller groups and reversing the order of the open and closed lockers within each group.

The first time the student reaches the end of the hall, the lockers are in the following order:

0001 1110 1111 0010 0101 1010 0101 0010

When the student turns around and starts back, the first locker he encounters is the one that was not opened the first time. The student then opens every other locker, skipping the ones that were already opened. This results in the following order:

0110 1010 0101 0010

The student then continues this process of dividing the lockers into smaller groups and reversing the order of the open and closed lockers within each group. After a few iterations, the student ends up with only one locker left, which is the last one he opens. The number of this locker is represented by the binary number, which is the reverse of the binary representation of 1996. Therefore, the number of the last locker the student opens is 1996.

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Answer:

look at the picture .

Step-by-step explanation:

look at the picture .

After answering the presented question, we can conclude that To pay the $19.60 weekly cost for your cell phone Internet access, you would need to save $2.80 (or $2.86 if you round up) per day.

The internet is a vast network of interconnected computers and devices that communicate with each other using a common set of protocols and technologies. It allows people to share information, communicate with each other, and access a wide range of digital services and resources. The internet is a global network that spans across the world, connecting people and businesses across different geographic locations and time zones. It has revolutionized the way people communicate and access information, enabling unprecedented levels of connectivity, collaboration, and innovation.

You can use the following steps to calculate how much you need to save per day to pay the bill:

Divide your weekly bill by the number of days in a week to see how much you need to save per day:

$19.60 ÷ 7 = $2.80

You can round up to the closest cent if you want to be more precise:

$19.60 divided by 7 equals $2.80 per day

$2.80 rounded up to $2.86

To pay the $19.60 weekly cost for your cell phone Internet access, you would need to save $2.80 (or $2.86 if you round up) per day.

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Answer:

I put the equation into desmos online graphing calculator

Answer:

Step-by-step explanation:

(0,3/4)  (1,3/4)

By using a t-table or calculator, we find that

(a) t0.025 = 2.145, (b) −t0.10 = -1.372, (c) t0.995 = 3.499.

These questions all involve finding critical values for t-distributions with different degrees of freedom (df).

(a) To find t0.025 when v = 14, we need to look up the value of t that leaves an area of 0.025 to the right of it under a t-distribution with 14 degrees of freedom. Using a t-table or calculator, we find that t0.025 = 2.145.

(b) To find −t0.10 when v = 10, we need to look up the value of t that leaves an area of 0.10 to the right of it under a t-distribution with 10 degrees of freedom, and then negate it. Using a t-table or calculator, we find that t0.10 = 1.372. Negating this value gives −t0.10 = -1.372.

(c) To find t0.995 when v = 7, we need to look up the value of t that leaves an area of 0.995 to the right of it under a t-distribution with 7 degrees of freedom. Using a t-table or calculator, we find that t0.995 = 3.499.

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To meet this requirement, the length of the `left_on` parameter should be equal to the number of levels in the index of the "right" DataFrame. This ensures that the merging is done correctly, aligning the specified columns in the "left" DataFrame with the corresponding levels in the "right" DataFrame's index.

When you're using the pandas merge() function to combine two dataframes, one of the parameters you'll need to specify is "left_on". This is the name or list of names of the columns in the left dataframe that you want to use to merge the two dataframes.

However, when you're merging dataframes, you also need to specify the index of the "right" dataframe. This index can have one or more levels, depending on the data.
e right dataframe. For example, let's say you have two dataframes: "df1" and "df2". "df1" has two columns named "key1" and "key2", while "df2" has a multi-level index with two levels named "level1" and "level2". If you want to merge these two dataframes based on the values in "key1" and "key2" from "df1", you would set "left_on=['key1', 'key2']". Since "df2" has a two-level index, the length of "left_on" must be 2.

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Answer:

The dimensions of the rectangular pen that maximize the area are \(w = 125\,ft\) and \(l = 250\,ft\).

Step-by-step explanation:

Let suppose that one side of the rectangular area to be fence coincides with the contour of the river, so that only three sides are needed to be enclosed. The equations of perimeter (\(p\)) and area (\(A\)), measured in feet and square feet, are introduced below:

\(p = 2\cdot w + l\)

\(A = w\cdot l\)

Where \(w\) and \(l\) are the length and width of the rectangle, measured in feet.

Besides, let suppose that perimeter is equal to the given amount of fencing, that is, \(p = 500\,ft\). The system of equations is:

\(2\cdot w + l = 500\,ft\)

\(A = w\cdot l\)

Let is clear the length of the rectangle and expand the area formula:

\(l = 500\,ft-2\cdot w\)

\(A = w\cdot (500\,ft-2\cdot w)\)

\(A = 500\cdot w -2\cdot w^{2}\)

To determine the maximum area that can be enclosed, first and second derivatives to obtain the critical values that follow to an absolute maximum.

First derivative

\(A' = 500 - 4\cdot w\)

Second derivative

\(A'' = -4\)

Now, let equalize the first derivative to zero, the only critical value is:

\(500-4\cdot w = 0\)

\(4\cdot w = 500\)

\(w = 125\,ft\)

Since the second derivative is a negative constant function, then, the previous outcome follows to an absolute maximum. The length of the rectangular area is: (\(w = 125\,ft\))

\(l = 500\,ft - 2\cdot (125\,ft)\)

\(l = 250\,ft\)

The dimensions of the rectangular pen that maximize the area are \(w = 125\,ft\) and \(l = 250\,ft\).

Answer:

the answer is B) (3√25)+7-5

D IS CORRECT

a.

\( \sqrt{25} = 5 \\ 5 \times 3 = 15 \\ 15 + 7 = 22 \\ 22 - 5 = 17\)

b. same as A), the parentheses dont change any of the math

c. same as A), the parentheses dont change any of the math

d.

\( \sqrt{25} = 5 \\ 5 + 7 = 12 \\ 12 \times 3 = 36 \\ 36 - 5 = 31\)

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

So we all know the FORMULA for a sphere is v=4/3 x π x r^3

So, now we SUBSTITUTE ,V=4/3 x π x 7^

This leaves us with the answer of 1436.76 ft ^2 maybe?

(hope this is correct!)

The two positive real numbers with a product of 11 that have the smallest possible sum are √11 and √11. In decimal form, these numbers are approximately 3.3166 and 3.3166.

To determine two positive real numbers whose product is 11 and have the smallest possible sum, we can use the concept of the arithmetic mean-geometric mean inequality.

Let the two numbers be x and y.

We have the following conditions:

1. xy = 11 (product of the two numbers is 11)

2. x > 0, y > 0 (both numbers are positive)

According to the AM-GM inequality, the arithmetic mean of two numbers is always greater than or equal to the geometric mean of those numbers.

Using this inequality, we have:

(x + y)/2 ≥ √(xy)

Substituting the value of xy as 11, we get:

(x + y)/2 ≥ √11

To minimize the sum (x + y), we need to make it as close as possible to the right side of the inequality.

This occurs when equality holds, that is, when:

x = y = √11

So, the answer is approximately (3.3166, 3.3166).

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Answer:

d is the answer of the question

\(

{\huge{\purple{\boxed{\mathfrak{\blue{\underline{\blue{A}{\red{N}{\pink{S}{\orange{W}{\red{E}{\purple{R} }}}}}}}}}}}}\)

at bakit ano and di magandang epekto ng mga ito sa bansa

The converse of the alternate interior angles theorem is the reason that accurately completes the proof in this case.

The theorem is referred to as the same-side interior angles theorem. If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary. That is to say, the two angles that are located on the same side of the transversal and on the same side of the two parallel lines sum up to 180 degrees. The converse of the alternate interior angles theorem is as follows: If a transversal intersects two lines and the alternate interior angles are congruent, then the two lines are parallel.

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Answer:

1 1/2

Step-by-step explanation:

Answer:

8x²-10x

Step-by-step explanation:

In Solving This Equation You Will Need To Follow This;

Original Equation:

2x(4x-5) {You will multiply 2x by the ones in the bracket which is the 4x and -5)

So 2x Multiplied by 4x is doing to give you 8x² we have 8x² because x multiplied by x becomes 2 that's why we have x² so 2x Multiplied by 4x is; 8x²

And 2x Multiplied by -5 is -10x because positive multiplied by negative is negative and when the number is with a variable and you want to multiply it by a natural number it is possible but you can't add a number with a variable to a natural number

So the final answer is; 8x²-10x