|x|= 4 how to put it in a number line?

Answer:

The fraction is 3/10 = .3

The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

About 3800

Step-by-step explanation:

Answer:

The area of a triangle is: A = 23.2 cm²

Step-by-step explanation:

Given

a = 10 cm

b = 9 cm

The angle ∠C = 31°

To determine

Area of the triangle

Using the formula to determine the area of the triangle

Area = 1/2bc sin C

substituting a = 10, b = 9, and m∠C = 31°

Area = 1/2 × 9 × 10 × sin 31°

Area = 1/2(90) sin 31°

Area = 45 × sin 31°

Area = 23.2 cm²

Therefore, the area of a triangle is: A = 23.2 cm²

Answer:

The value of N = 5 Step-by-step

Write a Python program that accepts an integer (n) and computes the value of n+nn+nnn.

Sample value of n is 5

Python int(x, base=10):

The function returns an integer object constructed from a number or string x, or return 0 if no arguments are given. If x is a number, return x.__int__(). For floating point numbers, this truncates towards zero.

The expected value of y is (D.) 35.5.

The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.

To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.

y * probability = y * P(y)

The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10

= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Multiple regression refers to a statistical technique that uses several explanatory variables to predict the outcome of a response variable. In this case, we will write the multiple regression model.

Multiple regression model for dependent variable Y that is related to the independent variables X₁ and the qualitative variable can be represented as;Y= β0 + β1X₁ + β2Qualitative Variable + Ɛwhere, β0 = intercept coefficientβ1 = slope coefficient for X₁β2 = slope coefficient for Qualitative VariableƐ = error terma) For category A, we have Qualitative Variable = 1.

Substituting in the model we get;Y= β0 + β1X₁ + β2(1) + ƐY = β0 + β1X₁ + β2For category A, the expected (mean) value of Y = β0 + β1X₁ + β2b) For category B, we have Qualitative Variable = 2. Substituting in the model we get;Y= β0 + β1X₁ + β2(2) + ƐY = β0 + β1X₁ + 2β2For category B, the expected (mean) value of Y = β0 + β1X₁ + 2β2c) For category C, we have Qualitative Variable = 3. Substituting in the model we get;Y= β0 + β1X₁ + β2(3) + ƐY = β0 + β1X₁ + 3β2For category C, the expected (mean) value of Y = β0 + β1X₁ + 3β2d) The differential intercept coefficient of Category B can be obtained as follows; β0 + 2β2 - β0 = 2β2

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Answer:

Explanation below:

Step-by-step explanation:

So basically x is the diameter - so is the radius times by 2

The radius is the length from the center of the circle to the edge which in this case is 7.9 + 8.9 = 16.8

So from this we have worked out the radius which is 16.8

But x is the diameter so we have to times 16.8 by 2 which gives 33.6

SOLUTION:

Step 1:

In this question, we are given the following:

A pancake recipe asks for one and one-half times as much milk as flour.

If three and one-half cups of milk are used, what quantity of flour would then be needed, according to the recipe?

Step 2:

The details of the solution are as follows:

The pancakes require 1.5 cups of milk and 1 cup of flour or a ratio of 1.5:1 or a fraction of

(1.5) / (1)

If you have 3.5 cups of milk you need x cups of flour

Set up a ratio of 1.5 / 1 = 3.5 / x

(1.5 divided by 1 equals 3.5 divided by x)

Cross multiply one numerator by the other denominator, and then the other way.

1.5x = 3.5

divide both sides by 1.5

x = 35/15 = 2 1/3 cups

CONCLUSION:

The quantity of flour that would be needed, according to the recipe =

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

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The slope of the function represents the change in height per day. In the given function, h = 3d, the slope is 3. This means that for every 1 unit increase in the number of days, the height of the corn plant increases by 3 units (in this case, centimeters).

Therefore, the correct answer is (C) The change in height per day.

Slope of Function represents the change in height per day.(Option C)

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is

\(m=\frac{dy}{dx}\) = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line can be shown as

tan θ = Δy/Δx

So, the slope of a line is tanΘ.

So as slope represents change in y per change in x, in the given question as y is height and x is days, slope is change in height per day.

Slope of Function represents the change in height per day.(Option C)

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360/18= 20

so the answer is 20 degrees

Answer:

20 degree

Step-by-step explanation:

Total angle for a circle is 360 degree, if divided into 18 part, then each part is 360 / 18 = 20 degree.

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Answer:

it means that the speed of water was constant

Answer:

Step-by-step explanation:

you are given the slope m = -6/5 and one point (x1,y1) as (-5,-2)

next use  the point-slope formula [y-y1 = m(x-x1) ] and plug in the point and the slope

y-(-2) = -6/5(x-(-2))    ( they are making this tuff with all the minus signs :/ )

y+2 = -6/5(x+2)         ( nice looks better, distribute the -6/5 )

y + 2 = -6/5x -12/5    (move the 2 over )

y = -6/5x - 12/5 -2      ( 2 = 10/5 )

y = -6/5x -12/5 - 10/5    (add the fractions )

y = -6/5x -22/5    

that's in the form of the slope-intercept now  [ y = mx + b ] so you're done :)

It is asking for a convex nonagon, not a convex polygon. So in this case we are looking for a shape with 9 straight lines and 9 angles. Which means we can cross A out.

Now we need to look at which nonagon is a convex nonagon which means that we are looking for the shape having only interior angles measuring less than 180°. So this means that B and D can be crossed out.

Thus, the answer is C.

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Answer:

1.) -12x + 30

2.) -(12x - 30)

3.) 3(-4x + 10)

Extra: -3(4x - 10)

Answer:

An equation of the line that passes through the points (0, -6) and (-5, -2) can be found using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

To find the slope of the line, you can use the formula:

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

Plugging in the given points, you get:

m = (-2 - (-6)) / (-5 - 0) = 4 / -5 = -4/5

The y-intercept is the point (0, -6), so the equation of the line in slope-intercept form is:

y = (-4/5)x - 6

This is the equation of the line that passes through the points (0, -6) and (-5, -2).

Answer:

$5469.65

Step-by-step explanation:

Jackson borrowed $4000

Interest= 7.9%= 0.079

N=4

m= "compounded quartely"= 4

If he wants to pay it off now, the amount his creditor expect as a payout of the loan is:

Future Value= X(1+i/m)^nm

FV= 4000(1+0.079/4)^4*4

FV= 4000(1+0.01975)^16

FV= 4000(1.01975)^16

FV= 4000(1.3674121)

FV= 5469.6484

FV= $5469.65

The amount his creditor expect as a payout of the loan is 5469.65 if jared want to pay off the loan now.

The solution of the polynomial at f(-3) is equal to 3.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the polynomial is f(x)= -x³- x²+ 5x. The solution of the polynomial at x = -3 will be done as,

F(x) = -x³- x² + 5x

F(-3) = -(-3)³ - ( -3 )² + 5 x -3

F(-3) = 27 - 9  -15

F(-3) = 3

The solution is equal to F(-3) = 3.

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So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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The z-score for a person who received a score of 77 is approximately 1.90 (rounded to two decimal places).

To calculate the z-score for a person who received a score of 77, we need to use the formula:

z = (x - μ) / σ

where:

x is the individual score,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

Given that the class mean (μ) is 73 and the standard deviation (σ) is 2.1, and the individual score (x) is 77, we can substitute these values into the formula:

z = (77 - 73) / 2.1

z = 4 / 2.1

z ≈ 1.90

Therefore, the z-score for a person who received a score of 77 is approximately 1.90 (rounded to two decimal places).

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Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

33 yards

Step-by-step explanation:

To find the number of ribbons that she used to decorate the dresses can be gotten by subtracting the amount of ribbon left from the total amount of ribbon she had.

She bought 100 yards. She has 67 yards left.

Therefore, the amount of ribbon she used for the dresses is:

100 - 67 = 33 yards

Answer:

M= -4

Point (3,1)

Step-by-step explanation:

The slope is -4

the point is (3,1)

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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The quadratic function y less than or equal to 13 over 9 (x minus 3) squared + 5 has a vertex of (5, -3) and contains the point (0, -8).

Hence the correct option is C) y less-than-or-equal-to 13 over 9 (x minus 3) squared + 5

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Answer:

Step-by-step explanation:

on edge its d